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Simplify. Express your answer using exponents. (11s^9t^7u^4)^2 Submit
To simplify the expression ((11s^9t^7u^4)^2), you need to apply the exponent to each part inside the parentheses. 1. Apply the exponent to the coefficient (11):[11^2 = 121] 2. Apply the exponent to each variable:- For (s^9), the exponent is multiplied: ( (s^9)^2 = s^{9 cdot 2} = s^{18} )- For (t^7),Read more
To simplify the expression ((11s^9t^7u^4)^2), you need to apply the exponent to each part inside the parentheses.
1. Apply the exponent to the coefficient (11):
[
11^2 = 121
]
2. Apply the exponent to each variable:
– For (s^9), the exponent is multiplied: ( (s^9)^2 = s^{9 cdot 2} = s^{18} )
– For (t^7), similarly: ( (t^7)^2 = t^{7 cdot 2} = t^{14} )
– For (u^4): ( (u^4)^2 = u^{4 cdot 2} = u^{8} )
3. Combine all the parts:
[
(11s^9t^7u^4)^2 = 121s^{18}t^{14}u^8
]
So, the simplified expression is:
[
121s^{18}t^{14}u^8
]
Feel free to ask if you have more questions about this topic!
See lessMultiply. Write your answer in scientific notation. 45 · (2 × 10⁻²) Submit
To solve the multiplication ( 45 times (2 times 10^{-2}) ), follow these steps: 1. Multiply the whole numbers:( 45 times 2 = 90 ). 2. Keep the power of ten:We still have ( 10^{-2} ). 3. Combine the results:This gives us ( 90 times 10^{-2} ). 4. Convert to scientific notation:To express ( 90 ) in sciRead more
To solve the multiplication ( 45 times (2 times 10^{-2}) ), follow these steps:
1. Multiply the whole numbers:
( 45 times 2 = 90 ).
2. Keep the power of ten:
We still have ( 10^{-2} ).
3. Combine the results:
This gives us ( 90 times 10^{-2} ).
4. Convert to scientific notation:
To express ( 90 ) in scientific notation, write it as ( 9.0 times 10^1 ). So,
( 90 times 10^{-2} ) can be rewritten as ( 9.0 times 10^1 times 10^{-2} ).
5. Combine the powers of ten:
( 10^1 times 10^{-2} = 10^{1-2} = 10^{-1} ).
6. Final answer in scientific notation:
Combine ( 9.0 ) and ( 10^{-1} ):
[
9.0 times 10^{-1}
]
So, the answer is ( 9.0 times 10^{-1} ).
See lessWhich setup would best show how energy spreads from a source?
The best setup to show how energy spreads from a source is B. Candle, Thermometer, Thermometer.Explanation: In this setup, the candle acts as the energy source (producing heat), and the two thermometers can be placed at different distances from the candle to measure the temperature changes. This demRead more
The best setup to show how energy spreads from a source is B. Candle, Thermometer, Thermometer.
Explanation: In this setup, the candle acts as the energy source (producing heat), and the two thermometers can be placed at different distances from the candle to measure the temperature changes. This demonstrates how heat energy spreads from the source and affects the surrounding environment.
See lessAs the black community in Greenwood became successful, which two things occurred as a result?
The correct answer is B: White people in Tulsa became afraid of the success of black people.As the Black community in Greenwood became prosperous, leading to a thriving economic center known as "Black Wall Street," many white residents felt threatened by that success. This fear contributed to racialRead more
The correct answer is B: White people in Tulsa became afraid of the success of black people.
As the Black community in Greenwood became prosperous, leading to a thriving economic center known as “Black Wall Street,” many white residents felt threatened by that success. This fear contributed to racial tensions, which ultimately culminated in the violent events of the Tulsa Race Massacre in 1921, where white mobs attacked the Greenwood District, resulting in significant loss of life and property.
If you need more detailed information, feel free to explore the extended services page!
See lessAs the black community in Greenwood became successful, which two things occurred as a result?
The correct answers are B and E.B. White people in Tulsa became afraid of the success of black people. This reflects the historical tension and jealousy that often arises when marginalized communities achieve significant prosperity, leading to fear and resentment among those in the dominant group.E.Read more
The correct answers are B and E.
B. White people in Tulsa became afraid of the success of black people. This reflects the historical tension and jealousy that often arises when marginalized communities achieve significant prosperity, leading to fear and resentment among those in the dominant group.
E. Black business owners began to speak out against injustice. As the black community in Greenwood grew successful, many black leaders and business owners felt empowered to advocate for their rights and to address injustices they faced.
These outcomes highlight the social dynamics and challenges that arise in a context of racial inequality and community success. If you want more detailed assistance, feel free to check the extended services page!
See lessA geologist was studying fossils she found in different layers of rock. She found many different types of fossils in layer 3 but very few in layer 2. Which two possible explanations could she suggest for this occurrence?
The two possible explanations the geologist could suggest for the occurrence of many fossils in layer 3 and very few in layer 2 are:C. There was a mass extinction during the time period of layer 2, so very few species of organisms remained alive.E. When layer 2 was forming, a natural event changed tRead more
The two possible explanations the geologist could suggest for the occurrence of many fossils in layer 3 and very few in layer 2 are:
C. There was a mass extinction during the time period of layer 2, so very few species of organisms remained alive.
E. When layer 2 was forming, a natural event changed the environment and caused the organisms to move to a different location.
Explanation:
Option C is plausible because a mass extinction event would reduce the diversity of species and result in fewer fossils being found in layer 2.
Option E is also logical as environmental changes can lead organisms to migrate, leaving fewer fossils behind in that layer.
These explanations help understand the fossil distribution in the geological record. If you have any more questions or need further assistance, feel free to ask!
See lessAs the black community in Greenwood became successful, which two things occurred as a result?
The correct answers are B and E.B: White people in Tulsa became afraid of the success of black people. This fear often stemmed from racial tensions and resentment towards the economic achievements of the black community in Greenwood, known as "Black Wall Street."E: Black business owners began to speRead more
The correct answers are B and E.
B: White people in Tulsa became afraid of the success of black people. This fear often stemmed from racial tensions and resentment towards the economic achievements of the black community in Greenwood, known as “Black Wall Street.”
E: Black business owners began to speak out against injustice. As the community thrived, these business owners became more vocal about the inequalities and injustices they faced, advocating for civil rights and better treatment.
This situation highlights the interplay between economic success and racial dynamics in early 20th-century America. If you have more questions or need further assistance, feel free to ask!
See lessBased on what you have read, which statement does the author most likely agree with
The correct answer is:D The Golden Gate Bridge is one of the most amazing structures in the world.Explanation: This statement likely reflects a positive view of the Golden Gate Bridge, which is often celebrated for its engineering and aesthetic qualities. The author would probably agree with this seRead more
The correct answer is:
D The Golden Gate Bridge is one of the most amazing structures in the world.
Explanation: This statement likely reflects a positive view of the Golden Gate Bridge, which is often celebrated for its engineering and aesthetic qualities. The author would probably agree with this sentiment, portraying the bridge as an iconic achievement rather than focusing on its cost or comparing it to other structures negatively.
See lessBased on what you have read, which aspect of his job does Andy Evans enjoy the most?
The correct answer is B) the ability to make his own decisions.In many contexts, supervisors and leaders often express enjoyment in having the autonomy to make choices that impact their work and the team. This aspect not only provides a sense of control but also fosters creativity and personal fulfiRead more
The correct answer is B) the ability to make his own decisions.
In many contexts, supervisors and leaders often express enjoyment in having the autonomy to make choices that impact their work and the team. This aspect not only provides a sense of control but also fosters creativity and personal fulfillment in their roles. If you have a specific text or excerpt in mind, we could dive deeper into that discussion!
See lessBased on what you have read, which aspect of his job does Andy Evans enjoy the most?
The correct answer is B) the ability to make his own decisions.This choice reflects the satisfaction many people find in having autonomy in their roles, allowing them to impact their work and approach. It suggests that Andy appreciates the freedom and responsibility that comes with decision-making iRead more
The correct answer is B) the ability to make his own decisions.
This choice reflects the satisfaction many people find in having autonomy in their roles, allowing them to impact their work and approach. It suggests that Andy appreciates the freedom and responsibility that comes with decision-making in his job. If you have any more questions, feel free to ask!
See lessPut the steps of a plumber’s training in the order that it occurs, from first to last. 1. Plumber becomes a journeyman and works toward certification. 2. Plumber takes basic courses in how to use and care for different equipment. 3. Plumber participates in on-the-job training. 4. Plumber either goes to vocational school or straight into an apprenticeship
The correct order of a plumber's training steps is as follows: 1. Plumber either goes to vocational school or straight into an apprenticeship. 2. Plumber takes basic courses in how to use and care for different equipment. 3. Plumber participates in on-the-job training.4. Plumber becomes a journeymanRead more
The correct order of a plumber’s training steps is as follows:
1. Plumber either goes to vocational school or straight into an apprenticeship.
2. Plumber takes basic courses in how to use and care for different equipment.
3. Plumber participates in on-the-job training.
4. Plumber becomes a journeyman and works toward certification.
Explanation: Typically, a prospective plumber begins by either attending vocational school or entering an apprenticeship program. This foundational education includes basic courses on equipment. After that, the plumber gains practical experience through on-the-job training. Finally, after completing these steps, the plumber becomes a journeyman and pursues certification to officially qualify in the trade.
See lessAccording to Greta, how does the weight of a prosthetic limb make a difference to the wearer?
The correct answer is D: The heavier the limb, the more tiring it is to wear.Explanation: Greta suggests that the weight of a prosthetic limb can significantly affect the wearer's comfort and energy levels. A heavier limb requires more effort to control and can lead to fatigue over time, making it tRead more
The correct answer is D: The heavier the limb, the more tiring it is to wear.
Explanation: Greta suggests that the weight of a prosthetic limb can significantly affect the wearer’s comfort and energy levels. A heavier limb requires more effort to control and can lead to fatigue over time, making it tiring for the user to wear throughout the day.
See lessRead this excerpt. This part of the text is written in the form of
To determine the correct answer, we need to analyze the format of the excerpt you mentioned. While I can't see the text, if the excerpt features dialogue between characters, then it is likely written in the form of A. a play script. If it describes details without dialogue, it might be B. a descriptRead more
To determine the correct answer, we need to analyze the format of the excerpt you mentioned. While I can’t see the text, if the excerpt features dialogue between characters, then it is likely written in the form of A. a play script. If it describes details without dialogue, it might be B. a description. For Q&As, if it involves questions and responses, it would be C. an interview. If it presents reasons to support a viewpoint, it would be D. an argument.
Choose the option that best fits the style and structure of the excerpt you are reading. If you need further clarification or a specific breakdown of these forms, feel free to ask!
See lessThe text states, “Patients can also meet with other amputees who volunteer as mentors.” Mentors are
The correct answer is C) people who offer support by listening and sharing experiences.Mentors in this context are individuals who have experienced similar challenges and can provide support and guidance based on their own experiences. They help create a sense of community and understanding for patiRead more
The correct answer is C) people who offer support by listening and sharing experiences.
Mentors in this context are individuals who have experienced similar challenges and can provide support and guidance based on their own experiences. They help create a sense of community and understanding for patients. If you have more questions or need further clarification, feel free to ask!
See lessAdd. Write your answer in scientific notation. (4.2 × 10⁹) + (8.1 × 10⁹) What is the sum in scientific notation?
To add the numbers in scientific notation, you need to make sure the exponents are the same. Here, both numbers have the same exponent of 10⁹, so you can directly add the coefficients (the numbers in front). 1. Add the coefficients:(4.2 + 8.1 = 12.3) 2. Combine with the exponent:So, you have (12.3 ×Read more
To add the numbers in scientific notation, you need to make sure the exponents are the same. Here, both numbers have the same exponent of 10⁹, so you can directly add the coefficients (the numbers in front).
1. Add the coefficients:
(4.2 + 8.1 = 12.3)
2. Combine with the exponent:
So, you have (12.3 × 10⁹).
3. Convert to proper scientific notation:
Since 12.3 is larger than 10, you need to convert it:
(12.3 = 1.23 × 10¹). Therefore, (12.3 × 10⁹ = 1.23 × 10¹ × 10⁹ = 1.23 × 10¹⁰).
So, the answer in scientific notation is 1.23 × 10¹⁰.
See lessSimplify. Express your answer using a single exponent. (10t⁷)²
To simplify ((10t^{7})^{2}), you apply the power of a product rule, which states ((ab)^{n} = a^{n}b^{n}). 1. Apply the exponent to both the 10 and (t^7):[(10)^{2} cdot (t^{7})^{2}] 2. Simplify each part:[10^{2} cdot t^{14}]So, the final simplified expression is (10^{2}t^{14}).The correct answer is ARead more
To simplify ((10t^{7})^{2}), you apply the power of a product rule, which states ((ab)^{n} = a^{n}b^{n}).
1. Apply the exponent to both the 10 and (t^7):
[
(10)^{2} cdot (t^{7})^{2}
]
2. Simplify each part:
[
10^{2} cdot t^{14}
]
So, the final simplified expression is (10^{2}t^{14}).
The correct answer is A) (10^{2}t^{14}).
See lessMultiply 9.45 × 10⁰ 9.45 × 10² 9.45 × 10⁶ 9.45 × 10³
To multiply the number 9.45 by powers of 10, you simply move the decimal point to the right for positive powers or to the left for negative powers. 1. 9.45 × 10⁰:- This equals 9.45, since any number multiplied by 10⁰ (which is 1) remains unchanged.Answer: 9.45 2. 9.45 × 10²:- Here, you move the deciRead more
To multiply the number 9.45 by powers of 10, you simply move the decimal point to the right for positive powers or to the left for negative powers.
1. 9.45 × 10⁰:
– This equals 9.45, since any number multiplied by 10⁰ (which is 1) remains unchanged.
Answer: 9.45
2. 9.45 × 10²:
– Here, you move the decimal point 2 places to the right.
9.45 becomes 945.
Answer: 945
3. 9.45 × 10⁶:
– Move the decimal point 6 places to the right, giving you 9,450,000.
Answer: 9,450,000
4. 9.45 × 10³:
– Move the decimal point 3 places to the right, resulting in 9,450.
Answer: 9,450
If you have further questions about multiplications or other topics, feel free to ask!
See lessHow do you write 28,900 in scientific notation? _____ × 10 ^ _____.
To write 28,900 in scientific notation, you need to express it as a number between 1 and 10 multiplied by a power of ten. 1. Move the decimal point in 28,900 to the left until you have a number between 1 and 10. In this case, moving the decimal point 4 places to the left gives you 2.89. 2. Since youRead more
To write 28,900 in scientific notation, you need to express it as a number between 1 and 10 multiplied by a power of ten.
1. Move the decimal point in 28,900 to the left until you have a number between 1 and 10. In this case, moving the decimal point 4 places to the left gives you 2.89.
2. Since you moved the decimal point 4 places, you multiply by 10 raised to the power of 4.
So, 28,900 in scientific notation is:
2.89 × 10^4
This means that 2.89 multiplied by 10,000 (10^4) equals 28,900.
See lessMultiply. Write your answer in scientific notation. 0.05 · (1 × 10^0)
To multiply (0.05) by ((1 times 10^0)), we first recognize that (10^0 = 1). So, we can rewrite the expression as:[ 0.05 times 1]Now, multiplying gives us (0.05).Next, to write (0.05) in scientific notation, we express it as:[ 5.0 times 10^{-2}]This is because we move the decimal point two places toRead more
To multiply (0.05) by ((1 times 10^0)), we first recognize that (10^0 = 1). So, we can rewrite the expression as:
[
0.05 times 1
]
Now, multiplying gives us (0.05).
Next, to write (0.05) in scientific notation, we express it as:
[
5.0 times 10^{-2}
]
This is because we move the decimal point two places to the right, which gives us a negative exponent in scientific notation.
Therefore, the final answer is:
[
5.0 times 10^{-2}
]
If you have more questions or need further explanations, feel free to ask!
See lessWhich statement best describes the relationship between nematodes and bacteria when used to protect crops?
The correct answer is: D) Nematodes provide a home for bacteria, and bacteria provide nutrients for nematodes.Explanation: In agriculture, certain nematodes and bacteria can work together symbiotically. Nematodes can create a habitat for specific beneficial bacteria, which can help break down organiRead more
The correct answer is: D) Nematodes provide a home for bacteria, and bacteria provide nutrients for nematodes.
Explanation: In agriculture, certain nematodes and bacteria can work together symbiotically. Nematodes can create a habitat for specific beneficial bacteria, which can help break down organic matter and release nutrients. In return, these bacteria can provide nutrients that support the growth of nematodes. This mutual relationship is beneficial for pest control and can help protect crops.
See lessThe word “metabolized” would be best replaced with the word
The correct answer is C) processed.In this context, "metabolized" refers to the way substances are broken down and utilized by the body. "Processed" captures the essence of how the body handles substances, making it the best synonym in this case. If you need further assistance, feel free to ask!
The correct answer is C) processed.
In this context, “metabolized” refers to the way substances are broken down and utilized by the body. “Processed” captures the essence of how the body handles substances, making it the best synonym in this case. If you need further assistance, feel free to ask!
See lessWhich of these is true about the points of view in this selection?
The correct answer is D: The letter and the story present two character's points of view.Explanation: In literary texts, different points of view can show the perspectives of distinct characters. If both a letter and a story are included in a selection, it's common for each to provide insights intoRead more
The correct answer is D: The letter and the story present two character’s points of view.
Explanation: In literary texts, different points of view can show the perspectives of distinct characters. If both a letter and a story are included in a selection, it’s common for each to provide insights into different characters’ experiences and thoughts, which is what option D suggests. This makes it a suitable choice compared to the other options, which may not accurately reflect both perspectives. If you need further exploration of the text or additional help, check the extended services page!
See lessWhich BEST describes the archetype represented by Siddhartha?
The BEST description of the archetype represented by Siddhartha is:C The questing hero.Explanation: Siddhartha, the protagonist in Hermann Hesse's novel, embarks on a journey of self-discovery and spiritual enlightenment. Throughout the story, he seeks truth and understanding, which aligns with theRead more
The BEST description of the archetype represented by Siddhartha is:
C The questing hero.
Explanation: Siddhartha, the protagonist in Hermann Hesse’s novel, embarks on a journey of self-discovery and spiritual enlightenment. Throughout the story, he seeks truth and understanding, which aligns with the archetype of the questing hero who faces challenges in pursuit of a significant goal. If you have more questions or need further assistance, feel free to ask!
See lessDivide. Write your answer in scientific notation. 6.6 × 10^31 8.8 × 10^−6
To divide the numbers in scientific notation, you'll divide the coefficients (the numbers in front) and then subtract the exponents (the powers of 10).Starting with the expression:[frac{6.6 times 10^{31}}{8.8 times 10^{-6}}] 1. Divide the coefficients:[frac{6.6}{8.8} = 0.75] 2. Subtract the exponentRead more
To divide the numbers in scientific notation, you’ll divide the coefficients (the numbers in front) and then subtract the exponents (the powers of 10).
Starting with the expression:
[
frac{6.6 times 10^{31}}{8.8 times 10^{-6}}
]
1. Divide the coefficients:
[
frac{6.6}{8.8} = 0.75
]
2. Subtract the exponents:
[
31 – (-6) = 31 + 6 = 37
]
So, combining these results, we have:
[
0.75 times 10^{37}
]
To convert 0.75 into scientific notation, we can write it as:
[
7.5 times 10^{-1}
]
Now we combine this with (10^{37}):
[
7.5 times 10^{-1} times 10^{37} = 7.5 times 10^{36}
]
The final answer is:
[
boxed{7.5 times 10^{36}}
]
This provides the result of dividing the two numbers in scientific notation! Great job on your math work! If you need any further assistance, feel free to ask!
See lessDivide. Write your answer in scientific notation. 6.56 × 10⁻² 8.2 × 10⁰
To divide numbers in scientific notation, you divide the coefficients and subtract the exponents.Here’s the calculation step-by-step: 1. Divide the coefficients:[frac{6.56}{8.2} approx 0.8] 2. Subtract the exponents:[-2 - 0 = -2] 3. Combine the results:[ 0.8 times 10^{-2}] 4. Convert to proper scienRead more
To divide numbers in scientific notation, you divide the coefficients and subtract the exponents.
Here’s the calculation step-by-step:
1. Divide the coefficients:
[
frac{6.56}{8.2} approx 0.8
]
2. Subtract the exponents:
[
-2 – 0 = -2
]
3. Combine the results:
[
0.8 times 10^{-2}
]
4. Convert to proper scientific notation:
Scientific notation requires the coefficient to be between 1 and 10, so we rewrite 0.8 as 8.0 and adjust the exponent:
[
8.0 times 10^{-3}
]
Thus, the final answer is:
[
8.0 times 10^{-3}
]
See lessWhat rhetorical device does Patrick Henry use in the first paragraph of the speech?
The correct answer is: C He ironically acknowledges his respect for those who have declared their disapproval of the revolution.In the first paragraph of his speech, Patrick Henry uses irony to emphasize that while he respects differing opinions, he ultimately believes that the situation demands urgRead more
The correct answer is: C He ironically acknowledges his respect for those who have declared their disapproval of the revolution.
In the first paragraph of his speech, Patrick Henry uses irony to emphasize that while he respects differing opinions, he ultimately believes that the situation demands urgent action against British rule. This rhetorical device helps to highlight the seriousness of his own position while acknowledging that others may feel differently. If you need further exploration of this topic, consider checking the extended services page for more help!
See lessWhat is the meaning of “rebound” as used in paragraph 12?
The correct answer is B recover from a challenge.In many contexts, "rebound" refers to the act of bouncing back or recovering after a setback or difficulty. This could involve returning to a stable or successful state after facing challenges. If you have more questions or need further clarification,Read more
The correct answer is B recover from a challenge.
In many contexts, “rebound” refers to the act of bouncing back or recovering after a setback or difficulty. This could involve returning to a stable or successful state after facing challenges. If you have more questions or need further clarification, feel free to ask!
See lessHow do you write 1.06 × 10^4 in standard form
To convert (1.06 times 10^4) into standard form, you simply move the decimal point in (1.06) to the right by 4 places (since it’s a positive exponent). 1. Start with (1.06).2. Move the decimal 4 places to the right:- Move once to (10.6)- Move twice to (106)- Move three times to (1060)- Move four timRead more
To convert (1.06 times 10^4) into standard form, you simply move the decimal point in (1.06) to the right by 4 places (since it’s a positive exponent).
1. Start with (1.06).
2. Move the decimal 4 places to the right:
– Move once to (10.6)
– Move twice to (106)
– Move three times to (1060)
– Move four times to (10600)
Thus, (1.06 times 10^4) in standard form is 10600.
If you have more questions or need further assistance, feel free to explore the extended services page!
See lessHow do you write 5.9 × 10^3 in standard form?
The correct answer is 1. 5900.To convert the scientific notation 5.9 × 10^3 into standard form, you multiply 5.9 by 1000 (since 10^3 means 1000). Thus, 5.9 × 1000 equals 5900, which is the standard form representation. Keep up the great work! If you need further clarification, feel free to ask.
The correct answer is 1. 5900.
To convert the scientific notation 5.9 × 10^3 into standard form, you multiply 5.9 by 1000 (since 10^3 means 1000). Thus, 5.9 × 1000 equals 5900, which is the standard form representation. Keep up the great work! If you need further clarification, feel free to ask.
See lessHow do you write 3.3 x 10¹ in standard form?
To convert (3.3 times 10^1) into standard form, you need to move the decimal point one place to the right (because of the exponent of 1).So:- Start with 3.3. - Moving the decimal one place to the right gives you 33.Therefore, the answer is c) 33.Great job on your studies! If you have more questions,Read more
To convert (3.3 times 10^1) into standard form, you need to move the decimal point one place to the right (because of the exponent of 1).
So:
– Start with 3.3.
– Moving the decimal one place to the right gives you 33.
Therefore, the answer is c) 33.
Great job on your studies! If you have more questions, feel free to ask!
See lessHow do you write 3.3 × 10⁻³ in standard form?
To write (3.3 times 10^{-3}) in standard form, you need to move the decimal point in the number (3.3) three places to the left because of the negative exponent. 1. Start with (3.3).2. Move the decimal point three places left:- (3.3) becomes (0.0033).So, (3.3 times 10^{-3}) in standard form is (0.003Read more
To write (3.3 times 10^{-3}) in standard form, you need to move the decimal point in the number (3.3) three places to the left because of the negative exponent.
1. Start with (3.3).
2. Move the decimal point three places left:
– (3.3) becomes (0.0033).
So, (3.3 times 10^{-3}) in standard form is (0.0033).
If you have more questions or need further assistance, feel free to explore the extended services page!
See lessHow do you write 2,940 in scientific notation? _____ × 10 _____.
To write 2,940 in scientific notation, you need to express it as a number between 1 and 10 multiplied by a power of 10. 1. Move the decimal point in 2,940 to the left until you have a number between 1 and 10. This means we move it two places: 2.940. 2. Count how many places you moved the decimal poiRead more
To write 2,940 in scientific notation, you need to express it as a number between 1 and 10 multiplied by a power of 10.
1. Move the decimal point in 2,940 to the left until you have a number between 1 and 10. This means we move it two places: 2.940.
2. Count how many places you moved the decimal point—this will be the exponent of 10. Since we moved it 2 places, the exponent is 2.
So, 2,940 in scientific notation is:
2.940 × 10²
Great job on working through this! If you need further clarification or help with more topics, just let me know!
See lessAdd. Write your answer in scientific notation. (9.03 × 10^6) + (4.37 × 10^6)
To add the numbers in scientific notation, you first need to ensure they have the same exponent. 1. Both numbers are already in the form of ( a times 10^n ) with the same exponent ( 10^6 ). 2. Now, you can add the coefficients:[ 9.03 + 4.37 = 13.40] 3. Combine this with the common exponent:[13.40 tiRead more
To add the numbers in scientific notation, you first need to ensure they have the same exponent.
1. Both numbers are already in the form of ( a times 10^n ) with the same exponent ( 10^6 ).
2. Now, you can add the coefficients:
[
9.03 + 4.37 = 13.40
]
3. Combine this with the common exponent:
[
13.40 times 10^6
]
4. However, ( 13.40 ) needs to be converted to proper scientific notation. Convert it:
[
13.40 = 1.34 times 10^1
]
5. Now, combine this with the ( 10^6 ):
[
1.34 times 10^1 times 10^6 = 1.34 times 10^{1 + 6} = 1.34 times 10^7
]
Thus, the final answer is:
[
boxed{1.34 times 10^7}
]
So, the correct answer is 1.34 × 10^7! Great job working through this! If you need further assistance, feel free to check the extended services page.
See lessDivide. 3 × 10^10 6 × 10^−4 5 × 10^13 4 × 10^13 3 × 10^13 2 × 10^13
To divide the two numbers in scientific notation, you will apply the division rule for exponents.Here’s the calculation step-by-step: 1. Divide the coefficients:[frac{3}{6} = 0.5] 2. Subtract the exponents:[10^{10 - (-4)} = 10^{10 + 4} = 10^{14}] 3. Combine the results:[ 0.5 × 10^{14} = 5 × 10^{13}Read more
To divide the two numbers in scientific notation, you will apply the division rule for exponents.
Here’s the calculation step-by-step:
1. Divide the coefficients:
[
frac{3}{6} = 0.5
]
2. Subtract the exponents:
[
10^{10 – (-4)} = 10^{10 + 4} = 10^{14}
]
3. Combine the results:
[
0.5 × 10^{14} = 5 × 10^{13} quad (text{since } 0.5 = 5 times 10^{-1})
]
Thus, the final answer is:
[
5 × 10^{13}
]
This means the answer to the division is (5 × 10^{13}). If you have more questions or need further assistance, feel free to ask!
See lessDivide. Write your answer in scientific notation. 3 × 10⁻⁴ 5 × 10⁻⁹ _____
To divide the two numbers in scientific notation, you need to divide their coefficients and subtract the exponents of the powers of ten. 1. Divide the coefficients:( frac{3}{5} = 0.6 ) 2. Subtract the exponents:( -4 - (-9) = -4 + 9 = 5 )Now combine the results:( 0.6 times 10^{5} )Since we want to exRead more
To divide the two numbers in scientific notation, you need to divide their coefficients and subtract the exponents of the powers of ten.
1. Divide the coefficients:
( frac{3}{5} = 0.6 )
2. Subtract the exponents:
( -4 – (-9) = -4 + 9 = 5 )
Now combine the results:
( 0.6 times 10^{5} )
Since we want to express this in proper scientific notation, we convert ( 0.6 ) to ( 6 times 10^{-1} ):
So,
( 0.6 times 10^{5} = 6 times 10^{-1} times 10^{5} = 6 times 10^{4} )
Thus, the final answer in scientific notation is:
( 6 times 10^{4} )
See less5 × 10^10 / 5 × 10^−4 What is the result?
To solve the expression ( frac{5 times 10^{10}}{5 times 10^{-4}} ), we can simplify it as follows: 1. Cancel the coefficients: The 5s in the numerator and the denominator cancel each other out, so we have:[frac{5}{5} = 1] 2. Subtract the exponents: For the powers of 10, we subtract the exponent in tRead more
To solve the expression ( frac{5 times 10^{10}}{5 times 10^{-4}} ), we can simplify it as follows:
1. Cancel the coefficients: The 5s in the numerator and the denominator cancel each other out, so we have:
[
frac{5}{5} = 1
]
2. Subtract the exponents: For the powers of 10, we subtract the exponent in the denominator from the exponent in the numerator:
[
10^{10 – (-4)} = 10^{10 + 4} = 10^{14}
]
So, putting it all together, we have:
[
1 times 10^{14}
]
Thus, the correct answer is 1 × 10^14.
See lessMultiply. Write your answer in scientific notation. (3 × 10²)(1 × 10⁴)
To multiply the numbers in scientific notation, you can follow these steps: 1. Multiply the coefficients: Here, you multiply 3 (the coefficient of the first number) by 1 (the coefficient of the second number):[3 times 1 = 3] 2. Add the exponents: Since both numbers are in base 10, you add the exponeRead more
To multiply the numbers in scientific notation, you can follow these steps:
1. Multiply the coefficients: Here, you multiply 3 (the coefficient of the first number) by 1 (the coefficient of the second number):
[
3 times 1 = 3
]
2. Add the exponents: Since both numbers are in base 10, you add the exponents 2 and 4:
[
2 + 4 = 6
]
3. Combine the results: Put it all together:
[
3 times 10^6
]
Thus, the answer in scientific notation is:
[
boxed{3 times 10^6}
]
This means the product of (3 × 10²)(1 × 10⁴) is 3 × 10^6. If you have further questions or need more in-depth help, feel free to check the extended services page!
See lessWrite 91/100 as a decimal number Submit it should end only with words no
To convert the fraction 91/100 into a decimal, you simply divide the numerator (91) by the denominator (100).Here's how you do it step-by-step: 1. Divide 91 by 100:- 91 ÷ 100 = 0.91Therefore, 91/100 as a decimal number is 0.91.If you have any more questions about fractions or decimals, feel free toRead more
To convert the fraction 91/100 into a decimal, you simply divide the numerator (91) by the denominator (100).
Here’s how you do it step-by-step:
1. Divide 91 by 100:
– 91 ÷ 100 = 0.91
Therefore, 91/100 as a decimal number is 0.91.
If you have any more questions about fractions or decimals, feel free to ask!
See lessWrite 6 57/100 as a decimal number.
To convert the fraction 57/100 to a decimal, divide the numerator (57) by the denominator (100).Here's how it works: 1. The fraction 57/100 can be interpreted as 57 divided by 100. 2. When you perform that division, you find that 57 divided by 100 equals 0.57.Therefore, 6 57/100 as a decimal numberRead more
To convert the fraction 57/100 to a decimal, divide the numerator (57) by the denominator (100).
Here’s how it works:
1. The fraction 57/100 can be interpreted as 57 divided by 100.
2. When you perform that division, you find that 57 divided by 100 equals 0.57.
Therefore, 6 57/100 as a decimal number is 6.57.
If you have any further questions or need more detailed assistance, feel free to check the extended services page!
See lessWrite 2 81 100 as a decimal number
The expression 2 81 100 can be interpreted as the mixed number ( 2 frac{81}{100} ). To convert it to a decimal, first convert the fraction ( frac{81}{100} ) to a decimal, which is 0.81. Now, add this to 2:[2 + 0.81 = 2.81]So, the decimal representation of ( 2 frac{81}{100} ) is 2.81. If you have morRead more
The expression 2 81 100 can be interpreted as the mixed number ( 2 frac{81}{100} ). To convert it to a decimal, first convert the fraction ( frac{81}{100} ) to a decimal, which is 0.81.
Now, add this to 2:
[
2 + 0.81 = 2.81
]
So, the decimal representation of ( 2 frac{81}{100} ) is 2.81.
If you have more questions or need further clarification, feel free to ask!
See lessWrite 2 59/100 as a decimal number
To convert the fraction 59/100 into a decimal, you simply divide the numerator (59) by the denominator (100).So, 59 ÷ 100 = 0.59.Therefore, 2 59/100 as a decimal number is 2.59. If you'd like more help or have further questions, feel free to ask!
To convert the fraction 59/100 into a decimal, you simply divide the numerator (59) by the denominator (100).
So, 59 ÷ 100 = 0.59.
Therefore, 2 59/100 as a decimal number is 2.59.
If you’d like more help or have further questions, feel free to ask!
See lessWrite 4 67/100 as a decimal number
To convert the fraction 67/100 into a decimal, you divide 67 by 100. So, 67 ÷ 100 = 0.67.Now, since the whole number is 4, you combine it with the decimal. Therefore, 4 67/100 as a decimal is 4.67.So, the final answer is 4.67.If you have more questions or need further clarification, feel free to askRead more
To convert the fraction 67/100 into a decimal, you divide 67 by 100.
So, 67 ÷ 100 = 0.67.
Now, since the whole number is 4, you combine it with the decimal. Therefore, 4 67/100 as a decimal is 4.67.
So, the final answer is 4.67.
If you have more questions or need further clarification, feel free to ask!
See lessWrite 88 17/100 as a decimal number
To write the mixed number 88 17/100 as a decimal, you can follow these steps: 1. Convert the whole number: The whole number is 88. 2. Convert the fraction: The fraction 17/100 can be converted to a decimal by dividing the numerator by the denominator. So, 17 divided by 100 equals 0.17.3. Combine botRead more
To write the mixed number 88 17/100 as a decimal, you can follow these steps:
1. Convert the whole number: The whole number is 88.
2. Convert the fraction: The fraction 17/100 can be converted to a decimal by dividing the numerator by the denominator. So, 17 divided by 100 equals 0.17.
3. Combine both parts: Add the whole number to the decimal.
So, 88 + 0.17 = 88.17.
Therefore, 88 17/100 as a decimal number is 88.17.
See lessWhat decimal number is illustrated?
To help you understand the decimal number illustrated, let’s examine what each option represents:A) 0.25: This is a quarter, which means one part of four equal parts.B) 0.75: This represents three-quarters, meaning three parts out of four.C) 0.5: This is exactly half, meaning one part out of two equRead more
To help you understand the decimal number illustrated, let’s examine what each option represents:
A) 0.25: This is a quarter, which means one part of four equal parts.
B) 0.75: This represents three-quarters, meaning three parts out of four.
C) 0.5: This is exactly half, meaning one part out of two equal parts.
D) 1.0: This represents a whole, or one full unit.
If you can describe the illustration or provide specific details about it, I can help determine which decimal number corresponds correctly. Please check the extended services page for further assistance!
See lessWhat decimal number is illustrated?
To determine the decimal number illustrated, we typically need to look at a visual representation like a pie chart, a number line, or some other format. However, without seeing the specific illustration, I can guide you on how to approach this question.To identify the correct decimal number from theRead more
To determine the decimal number illustrated, we typically need to look at a visual representation like a pie chart, a number line, or some other format. However, without seeing the specific illustration, I can guide you on how to approach this question.
To identify the correct decimal number from the options given (0.25, 0.50, 0.75, and 0.90), consider:
– 0.25 represents one-quarter of a whole.
– 0.50 represents one-half of a whole.
– 0.75 represents three-quarters of a whole.
– 0.90 is quite close to a whole.
If the illustration shows a part of a whole divided into sections, you would count how many sections are shaded compared to the total number of sections to find the corresponding decimal.
If you can provide more context or details about the illustration, I would be glad to help further! Please refer to the extended services page for more in-depth assistance.
See lessWhich of the following inferences can be drawn from the excerpt you read?
To determine the correct answer, you would need to consider the context given in the excerpt regarding the reasons for the growth (or lack thereof) of the movement in question.Without the excerpt, I can't provide a definitive answer, but here's how you can analyze it:- A suggests a comparison in dieRead more
To determine the correct answer, you would need to consider the context given in the excerpt regarding the reasons for the growth (or lack thereof) of the movement in question.
Without the excerpt, I can’t provide a definitive answer, but here’s how you can analyze it:
– A suggests a comparison in dietary habits which may not relate to the movement’s growth.
– B focuses on land availability, which could be relevant if the movement depends on insect farming.
– C implies saturation in the insect-eating market, which could be a concern.
– D suggests a shift in cultural dietary habits affecting the growth of the movement.
After evaluating the context of the excerpt, choose the inference that aligns best with the provided information. If you have more specifics from the excerpt, I could help you analyze it further!
See lessWhat best describes the relationship between short and long term goals?
The correct answer is B) Short term goals can support long term goals.Short term goals are typically smaller, achievable steps that help you progress toward your larger, long term goals. Achieving these short term goals builds momentum and motivation, making it easier to reach the bigger picture. FoRead more
The correct answer is B) Short term goals can support long term goals.
Short term goals are typically smaller, achievable steps that help you progress toward your larger, long term goals. Achieving these short term goals builds momentum and motivation, making it easier to reach the bigger picture. For example, if your long term goal is to become a doctor, short term goals might include completing college courses or volunteering in a healthcare setting. These incremental steps are crucial for success in your long term pursuits.
See lessWhat best describes the relationship between short and long term goals?
The correct answer is C. Short-term goals support long-term goals.Explanation: Short-term goals are typically smaller, achievable steps that lead towards the accomplishment of larger, long-term goals. By setting and achieving short-term goals, you create a pathway that helps maintain motivation andRead more
The correct answer is C. Short-term goals support long-term goals.
Explanation: Short-term goals are typically smaller, achievable steps that lead towards the accomplishment of larger, long-term goals. By setting and achieving short-term goals, you create a pathway that helps maintain motivation and momentum towards reaching those more significant aspirations.
See lessWhat best describes the relationship between short and long term goals?
The best answer is B) Short term goals are stepping stones to achieve long term goals.Short term goals serve as actionable steps that lead to the attainment of broader, long term goals. By accomplishing short term goals, individuals make progress towards their long term aspirations, creating a clearRead more
The best answer is B) Short term goals are stepping stones to achieve long term goals.
Short term goals serve as actionable steps that lead to the attainment of broader, long term goals. By accomplishing short term goals, individuals make progress towards their long term aspirations, creating a clear pathway for success.
See lessWhat is the difference between a salary and an hourly wage?
The correct answer is B) A salary is a fixed amount of money regardless of hours worked, while an hourly wage is paid based on the number of hours worked.Explanation: Salary refers to a predetermined annual amount paid to an employee, regardless of how many hours they work each week. In contrast, anRead more
The correct answer is B) A salary is a fixed amount of money regardless of hours worked, while an hourly wage is paid based on the number of hours worked.
Explanation: Salary refers to a predetermined annual amount paid to an employee, regardless of how many hours they work each week. In contrast, an hourly wage is calculated based on the total number of hours worked, meaning that the total pay can vary based on hours worked each week. This distinction is important for understanding different employment structures and compensation models.
See less