The correct answer is C: no remedy could prevent spirits from stealing voices.

Explanation: In ancient cultures, sleep paralysis was often attributed to supernatural forces. People believed that during sleep, malevolent spirits or demons could invade their dreams or even steal their voices, leaving them in a state of helplessness. This belief reflected the lack of scientific understanding of the phenomenon, leading to various interpretations involving the supernatural. If you have more questions or need further assistance, feel free to ask!

The correct answer is C) disruption in people’s sleep cycles.

Sleep paralysis occurs when there is an interruption in the transition between sleep stages, particularly between REM (rapid eye movement) sleep and wakefulness. This can lead to a temporary inability to move or speak while falling asleep or waking up, which is often accompanied by hallucinations. Factors that can disrupt sleep cycles include sleep deprivation, irregular sleep schedules, and stress.

The correct answer is C) It all sounds suspiciously like sleep paralysis, but 48 percent of Americans believe UFOs may have visited Earth.

Explanation:

This sentence indicates that a significant portion of people today hold beliefs in phenomena like UFOs, which suggests a broader tendency to believe in various superstitions related to sleep and other extraordinary experiences. It highlights a modern belief in the unexplained, similar to historical superstitions.

The correct answer is C. It all sounds suspiciously like sleep paralysis, but 48 percent of Americans believe UFOs may have visited Earth.

This sentence indicates that a significant portion of the population holds beliefs in phenomena that can be classified as superstitions or unconventional beliefs, highlighting how contemporary views, such as UFO sightings, intertwine with historical superstitions about sleep and other mysterious experiences. Keep up the great work in your studies!

The correct answer is A) his son’s different eye movements while he slept.

Eugene Aserinsky observed that his son experienced distinct and irregular eye movements during sleep, which sparked his interest in studying sleep patterns further. This led to his groundbreaking work in discovering rapid eye movement (REM) sleep. If you need more details on this topic, feel free to check the extended services page!

To find out how much iced tea each of Riley’s 5 classmates will get, you need to divide the total amount of iced tea by the number of classmates.

Riley has 6 1/2 bottles of iced tea, which can be converted to an improper fraction:

1. Convert 6 1/2 to an improper fraction:

– 6 1/2 = (6 * 2 + 1) / 2 = (12 + 1) / 2 = 13/2.

2. Now, divide this amount by 5 (the number of classmates):

– 13/2 ÷ 5 = 13/2 × 1/5 = 13/10.

3. This fraction can also be expressed as a mixed number:

– 13/10 = 1 3/10.

So, each classmate will receive 1 3/10 bottles of iced tea.

If you have any more questions or need further explanations, feel free to ask or check our extended services page for more help!

To find out how much butter was in each dish, we start with the total amount of butter, which is 7 1/4 pounds, and divide it by the number of dishes, which is 2.

First, convert 7 1/4 to an improper fraction:

– 7 1/4 = (7 * 4 + 1)/4 = (28 + 1)/4 = 29/4.

Now divide this by 2:

– (29/4) ÷ 2 = (29/4) × (1/2) = 29/8.

Now, we can convert 29/8 into a mixed number:

– 29 divided by 8 is 3 with a remainder of 5. So, 29/8 = 3 5/8.

Therefore, the restaurant put 3 5/8 pounds of butter in each dish.

To find out how many rolls of tape Robert needs to buy, we can divide the total length of tape he needs by the length of tape on each roll.

1. First, convert both measurements into improper fractions.

– 5 5/8 feet can be converted as follows:

– ( 5 times 8 + 5 = 40 + 5 = 45 )

– Therefore, ( 5 5/8 = frac{45}{8} ) feet.

– 1 7/8 feet can be converted similarly:

– ( 1 times 8 + 7 = 8 + 7 = 15 )

– Therefore, ( 1 7/8 = frac{15}{8} ) feet.

2. Now, divide the total tape needed by the tape per roll:

[

frac{45/8}{15/8}

]

To divide by a fraction, multiply by its reciprocal:

[

frac{45}{8} times frac{8}{15} = frac{45}{15} = 3

]

This means Robert needs to buy 3 rolls of tape.

So, the final answer is:

3 rolls of tape.

To find out how many bales of hay the horses are fed each day, we need to multiply the amount of hay the cattle are fed by 1 5/6.

1. Start with the amount of hay the cattle are fed: 5 bales.
2. Convert 1 5/6 into an improper fraction:

– 1 5/6 = (1 × 6 + 5) / 6 = 11/6.
3. Now, multiply the bales of hay for the cattle by the fraction for the horses:

– Horses’ hay = 5 × (11/6) = 55/6.

4. Convert 55/6 into a mixed number:

– 55 ÷ 6 = 9 with a remainder of 1, which gives us 9 1/6.

So, the horses are fed 9 1/6 bales of hay each day.

To find out how many more cups of flour than butter are needed, subtract the amount of butter from the amount of flour.

1. Convert both fractions to a common denominator:

– The denominators are 3 and 2, so the common denominator is 6.
– Convert 2/3 cup flour: (2/3) × (2/2) = 4/6

– Convert 1/2 cup butter: (1/2) × (3/3) = 3/6

2. Now, subtract the amount of butter from the amount of flour:

( frac{4}{6} – frac{3}{6} = frac{1}{6} )

So, there are 1/6 more cups of flour than butter needed.

To find out how many laps Ariana jogged in total, we need to add the two fractions: ( frac{1}{5} ) and ( frac{1}{3} ).

### Step 1: Find a common denominator

The least common multiple of 5 and 3 is 15.

### Step 2: Convert each fraction

– Convert ( frac{1}{5} ) to have a denominator of 15:

[

frac{1}{5} = frac{1 times 3}{5 times 3} = frac{3}{15}

]

– Convert ( frac{1}{3} ) to have a denominator of 15:

[

frac{1}{3} = frac{1 times 5}{3 times 5} = frac{5}{15}

]

### Step 3: Add the fractions

Now, we can add ( frac{3}{15} ) and ( frac{5}{15} ):

[

frac{3}{15} + frac{5}{15} = frac{3 + 5}{15} = frac{8}{15}

]

### Conclusion

Ariana jogged a total of ( frac{8}{15} ) laps.

To answer your question, it seems like you’re looking for key points regarding the motion of a stone thrown into the air. Here’s a concise breakdown:

1. Time when the stone reaches its maximum height: This is typically at the halfway point in its ascent, where its velocity becomes zero before descending.

2. Time when the stone hits the water: This is the total time taken from launch to when it impacts the water surface.

3. Height of the stone when it is launched: This is the initial height above the water, usually set at zero if launching from ground level.

4. Height of the stone when it hits the water: This would be the launch height minus any drop it has taken before hitting the water.

5. Maximum height of the stone: This is the peak height it reaches above its launch point during its ascent.

6. Time when the stone is launched: This is the start time of the motion, typically set at zero seconds.

If you provide specific numbers or a scenario, I can help you calculate and understand each of these elements better! Remember to check the extended services page for more detailed assistance.

To find the radius of the smaller cylinder when the volume ( V ) is ( 160pi ), we can start from the given equation:

[ 160pi = 250pi – 10pi r^2 ]

Now, let’s simplify and solve for ( r ).

1. Subtract ( 250pi ) from both sides:

[

160pi – 250pi = -10pi r^2

]

This simplifies to:

[

-90pi = -10pi r^2

]

2. Divide both sides by ( -10pi ):

[

9 = r^2

]

3. Take the square root of both sides:

[

r = 3

]

So the correct answer is:

160π = 250π – 10πr²

r = 3

This means the radius of the smaller cylinder is 3 cm. Well done for working through it! If you have more questions or need further assistance, feel free to ask!

To find out how long it takes for the object to reach a height of 84 feet when it starts at 180 feet, we’ll use the equation:

[ 84 = 180 – 16t^2 ]

This equation represents the height of the object over time, where 16 is the acceleration due to gravity in feet per second squared (assuming the object is thrown upward).

Now, let’s solve the equation:

1. Rearrange the equation to isolate ( t^2 ):

[ 16t^2 = 180 – 84 ]

[ 16t^2 = 96 ]

2. Divide both sides by 16:

[ t^2 = frac{96}{16} ]

[ t^2 = 6 ]

3. Take the square root of both sides to find ( t ):

[ t = sqrt{6} ]

Therefore, the correct answer is:

[ t = sqrt{6} ]

This indicates it takes ( sqrt{6} ) seconds for the object to reach a height of 84 feet.

Great job working through this! If you have any more questions or need further help, feel free to ask!

To find out how much farther the beetle crawled than the spider, we need to subtract the distance crawled by the spider from the distance crawled by the beetle.

The beetle crawled 2 yards, and the spider crawled 1/5 of a yard.

We can express 2 yards as a fraction:

2 yards = 10/5 yards (since 2 = 10/5 when we convert it to a fraction with a denominator of 5).

Now subtract the distance crawled by the spider from the distance crawled by the beetle:

10/5 yards (beetle) – 1/5 yard (spider) = (10 – 1)/5 = 9/5 yards.

Thus, the beetle crawled 9/5 yards farther than the spider.

As a mixed number, 9/5 can be expressed as 1 4/5 yards.

So, the final answer is 9/5 yards or 1 4/5 yards.

To find out how many bales of hay the horses are fed each day, we need to calculate 1 5/6 times the amount fed to the cattle.

1. First, we convert the mixed number 1 5/6 into an improper fraction.

1 = 6/6, so:

1 5/6 = 6/6 + 5/6 = 11/6

2. Next, we multiply the amount of hay the cattle are fed (5 bales) by the improper fraction (11/6):

( 5 times frac{11}{6} = frac{5 times 11}{6} = frac{55}{6} )

3. Now we convert ( frac{55}{6} ) into a mixed number:

( 55 ÷ 6 = 9 ) remainder ( 1 ), so it can be expressed as:

( 9 frac{1}{6} )

Thus, the horses are fed 9 1/6 bales of hay each day.

To find out how much farther away Planet X is compared to Planet Y, we need to subtract the distance of Planet Y from the distance of Planet X.

1. Distance of Planet X: ( frac{1}{6} ) light-year
2. Distance of Planet Y: ( frac{1}{12} ) light-year

To perform the subtraction, we need a common denominator. The least common multiple of 6 and 12 is 12.

Now we will convert ( frac{1}{6} ) to a fraction with a denominator of 12:

[

frac{1}{6} = frac{2}{12}

]

So now we can subtract:

[

frac{2}{12} – frac{1}{12} = frac{1}{12}

]

Therefore, Planet X is ( frac{1}{12} ) light-year farther away from Planet Y.

The best first step for solving a system of equations generally depends on the specific equations involved, but a common approach is to add the two equations to one another.

Explanation: Adding the equations can often simplify the system and make it easier to isolate a variable, especially if the system is set up in such a way that one or more variables can be eliminated or simplified. This method is a straightforward way to see relationships between the variables directly.

If you have further questions about solving systems of equations or need more detailed assistance, feel free to explore the extended services page!

To find out how many more cups of flour than butter are needed, you can subtract the amount of butter from the amount of flour.

1. Convert both fractions to have a common denominator. The least common denominator of 3 and 2 is 6.
– 2/3 cup flour becomes 4/6 cup flour (by multiplying numerator and denominator by 2).

– 1/2 cup butter becomes 3/6 cup butter (by multiplying numerator and denominator by 3).

2. Now, subtract the amount of butter from the amount of flour:

– 4/6 cup flour – 3/6 cup butter = 1/6 cup.

So, you need 1/6 cup more flour than butter.

To find the correct inequality, we start by letting ( w ) be the width of the deck. According to the problem, the length ( l ) of the deck can be expressed as:

[ l = 2w – 4 ]

The area ( A ) of the deck is given by the formula:

[ A = w times l ]

Substituting for ( l ) gives:

[ A = w(2w – 4) ]

We want this area to be at least 140 square feet, which translates into the inequality:

[ w(2w – 4) geq 140 ]

Rearranging the inequality, we can also express it as:

[ 2w^2 – 4w – 140 geq 0 ]

However, if we keep it in the form ( 2w^2 – 4w – 140 leq 0 ), we can find the widths that satisfy this condition.

Therefore, the correct answer is:

2w² – 4w – 140 ≤ 0

This inequality correctly represents the area condition Timothy needs to meet for his deck. Keep practicing, and you’ll get more comfortable with these kinds of problems!

To find the total laps Ariana jogged, we need to add the two fractions: ( frac{1}{5} ) and ( frac{1}{3} ).

1. Find a common denominator: The least common multiple of 5 and 3 is 15.
2. Convert each fraction:

– For ( frac{1}{5} ):

[

frac{1}{5} = frac{1 times 3}{5 times 3} = frac{3}{15}

]

– For ( frac{1}{3} ):

[

frac{1}{3} = frac{1 times 5}{3 times 5} = frac{5}{15}

]
3. Add the fractions:

[

frac{3}{15} + frac{5}{15} = frac{8}{15}

]

So, Ariana jogged a total of ( frac{8}{15} ) laps.

Let’s analyze the statements for each type of solution set in systems of equations:

1. Infinitely Many Solutions: “Both equations are equal to y.” – This means both equations are identical, leading to infinitely many solutions because every point on the line would satisfy both equations.

2. Zero Solutions: “6x – 3 can never be equal to 6x + 3.” – This shows a contradiction since there is no value of x that can satisfy this equation (the left side will always be 6x – 3, while the right will always be 6x + 3, leading to an impossible situation).

3. One Solution: “2x + 1 = 6x + 3 has one solution.” – This is true if you solve it. Rearranging gives you a single solution for x.

4. Zero Solutions: “y is equal to two different expressions.” – If y represents two different expressions, they can only intersect at most once, indicating inconsistency unless they are identical.

5. Infinitely Many Solutions: “6x + 3 is a multiple of 2x + 1.” – This statement is not necessarily always true; it depends on x, meaning there are cases that yield different values and not consistently multiple.

With that breakdown, you can match the statements accordingly. Let me know if you need further help with any specific part!

To answer your question, it appears that you’re looking for details regarding the motion of a stone thrown into the air. Here’s a breakdown of the typical parameters associated with projectile motion:

1. The time when the stone reaches its maximum height: This occurs when the velocity of the stone becomes zero as it ascends. You can find this time using the formula ( t = frac{v_0}{g} ), where ( v_0 ) is the initial velocity and ( g ) is the acceleration due to gravity.

2. The time when the stone hits the water: This is the total time of flight, which can be calculated using the kinematic equations for motion under gravity, considering the initial height and the final height at the water surface.

3. The height of the stone when it is launched: This is simply the initial height, often taken as zero if launched from ground level or given otherwise.

4. The height of the stone when it hits the water: This is the final height of the stone, which is usually at the water’s surface level, often taken as zero if measured from where it was launched.

5. The maximum height of the stone: This can be calculated using the formula ( h_{max} = frac{v_0^2}{2g} ), showing how high it goes before descending.

6. The time when the stone is launched: This is considered time (

To find out how much it rained in the second half of the month, we need to subtract the rainfall of the first half from the total rainfall for the month.

1. Total rainfall for the month = 3 1/8 inches.
2. Rainfall in the first half = 1/2 inch.

First, convert the mixed number (3 1/8) into an improper fraction:

– 3 1/8 = (3 × 8 + 1)/8 = 25/8 inches.

Now, subtract the rainfall from the first half (1/2 inch) from the total rainfall:

– Convert 1/2 into a fraction with a denominator of 8: 1/2 = 4/8.

Now perform the subtraction:

[

frac{25}{8} – frac{4}{8} = frac{21}{8}

]

Convert this back into a mixed number:

– 21/8 = 2 5/8 inches.

Therefore, it rained 2 5/8 inches in the second half of the month.