The velocity V of an object dropped from a tall building is given by V = V64d, where dis
the distance, in feet, the object has dropped. Find the distance when the velocity is
32 ft/sec.

Answers

Answer 1

Answer:

d = 0.0625 m

Step-by-step explanation:

The velocity of an object dropped from a tall building is given by :

\(v=\sqrt{64d}\)

Where

d is the distance in feet

We need to find the distance when the velocity is 32 ft/s

Rearranging for d,

\(v^2=64d\\\\d=\dfrac{64}{v^2}\)

Put v = 32 ft/s

\(d=\dfrac{64}{32^2}\\\\d=0.0625\ m\)

So, the required distance is 0.0625 m.


Related Questions

Parv has a $50 gift card he uses the gift card to buy a pack of games for 9. 99. He also wants to buy n movies. Each movie cost 3. 99. Which inequality describes how many movies part can buy?​

Answers

The inequality that describes how many movies Parv can buy is: n ≤ 10.025

Let's denote the number of movies Parv wants to buy as n. We are given that each movie costs $3.99. To determine the inequality that describes how many movies Parv can buy, we need to consider the amount of money he has remaining after purchasing the pack of games.

Parv starts with a $50 gift card and spends $9.99 on a pack of games. The remaining amount on the gift card is $50 - $9.99 = $40.01.

Now, let's consider the cost of n movies. Each movie costs $3.99, so the total cost of n movies would be n * $3.99.

Since Parv wants to buy the movies using the remaining amount on his gift card, we can set up the inequality:

n * $3.99 ≤ $40.01

This inequality states that the total cost of n movies, represented by n * $3.99, must be less than or equal to the remaining amount on the gift card, which is $40.01.

Simplifying the inequality further, we have:

3.99n ≤ 40.01

Now, if we want to solve for n, we can divide both sides of the inequality by 3.99:

n ≤ 40.01 / 3.99

Calculating this value, we have:

n ≤ 10.02506265664

Therefore, the inequality that describes how many movies Parv can buy is:

n ≤ 10.025

This means that Parv can buy a maximum of 10 movies, as he cannot purchase a fractional part of a movie.

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a positively skewed distribution is due to: an extremely small number. an extremely large number. the fact that all data is equal. none of these choices are correct.

Answers

A positively skewed distribution is due to an extremely large number.

What is positively skewed distribution?

A positively skewed distribution is a type of distribution in which the majority of the data values are clustered towards the left side of the distribution, with a tail extending to the right. This means that there are relatively more smaller values in the dataset than larger values. In a positively skewed distribution, the mean of the dataset is typically larger than the median, and the mode may not be a good representation of the central tendency of the data. This is because the presence of a long tail on the right-hand side of the distribution pulls the mean towards the higher values, while the median remains closer to the center of the dataset. Some common examples of positively skewed distributions include income distributions, where there are a few extremely high earners that skew the data towards the right, and test scores, where there may be a few students who perform extremely well and pull the average higher than the median.

Here,

A positively skewed distribution occurs when the tail of the distribution extends to the right, and the majority of the data is clustered towards the left side of the graph. This means that there are relatively more smaller values in the dataset than larger values. One common cause of positive skewness is the presence of extremely large values, also called outliers, in the dataset. These large values pull the mean of the dataset towards the right, resulting in the tail of the distribution stretching in that direction.

Therefore, out of the options provided, the correct answer is "an extremely large number."

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give a geometric description of the following set of points. (x-24)^(2) y^(2) z^(2)-64 = 0

Answers

The set of points satisfying the equation (x-24)²y²z² - 64 = 0 is the intersection of three parabolas centered at (24, 0, 0), (0, 0, 0), and (0, 0, 0) in the x, y, and z directions, respectively. This intersection forms a three-dimensional surface in space.

The given equation, (x-24)²y²z² - 64 = 0, can be rewritten as:

(x-24)²y²z² = 64

Let's analyze the equation term by term to understand its geometric description:

(x-24)² represents a parabola in the x-axis centered at x = 24. It opens upward and has its vertex at (24, 0). The squared term ensures that the value is always positive.

y² represents a parabola in the y-axis centered at the origin (0, 0). It opens upward and has its vertex at (0, 0). The squared term ensures that the value is always positive.

z² represents a parabola in the z-axis centered at the origin (0, 0). It opens upward and has its vertex at (0, 0). The squared term ensures that the value is always positive.

Multiplying these parabolas together means that for a point (x, y, z) to satisfy the equation, all three parabolas need to have a value of 1, resulting in a product of 1.

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What is the approximate area of the hexagon? 24 in.2 42 in.2 48 in.2 84 in.2

Answers

Answer: 42 in²

Step-by-step explanation: right on edge

how many millimeters equal 1942 cm^3

Answers

Answer:

multiply the volume value by 1000

Step-by-step explanation:

¯\_(ツ)_/¯ᵐᵃʸᵇᵉe

Answer:

1942 cubic centimeter

1942000 cubic millimeter

HELP PLEASE!! WILL CROWN BRAINLIEST.....
On October 1, Gary’s bank balance was $130. During October, he made two
withdrawals and one deposit. At the end of the month, his bank balance was
$95. List two withdrawals and one deposit that would give this final balance.

Answers

Answer:  i am not sure but thanks for the points have a good day

Step-by-step explanation:

Can someone help me with the questions in the picture??

Can someone help me with the questions in the picture??

Answers

Answer:

16.) The store bought 816 light bulbs

17.) The total savings of Mr. Wilson after he buys the tickets is $268

Answer:

oki so the answer for the other question is 9. 1,100 and 10. 2,920

Step-by-step explanation:

Can someone help me with the questions in the picture??

On a cold day, the temperature in a certain city changed −18.5°F over 7.4 hours.

What was the average change in temperature per hour?

Answers

Answer:

-2.5 degrees

Step-by-step explanation:

The temperature decreased 18.5 degrees F in 7.4 hours.

-

-18.5/7.4 = -2.5 degrees F

The average change in temperature over the course of 7.4 hours is -2.5 degrees F.

Your welcome!

Kayden Kohl

8th Grade

Directions: Determine if the equations are parallel, perpendicular or neither.
11. x + y = 8 and y = -x – 1
X
-X

Answers

0202029202020020202020

make x the Subject of formula px² - qx² = 4p-4q​

Answers

Answer:

x = ±√[(4q - 4p) / (p - q)]

Step-by-step Explanation:

To make x the subject of the formula px² - qx² = 4p - 4q, we can follow these steps:

Factor out x² from the left-hand side of the equation:
px² - qx² = (p - q)x²
Add 4q to both sides of the equation:
px² = (p - q)x² + 4q - 4p
Divide both sides of the equation by (p - q):
x² = (4q - 4p) / (p - q)
Take the square root of both sides of the equation, remembering to include both the positive and negative roots:
x = ±√[(4q - 4p) / (p - q)]
Therefore, the solution for x is:

x = ±√[(4q - 4p) / (p - q)]

7+2ax=13 solve for x.

Answers

Answer:

x =  3/a

Step-by-step explanation:

7 + 2ax = 13

2ax = 13 - 7

2ax = 6

ax = 6 / 2

ax = 3

x = 3/a

Hope it helps!

Multiply. Write your answer in simplest form 1/3 x 1/6

Answers

Answer:

1/18

Step-by-step explanation:

1 x 1 = 1

3 x 6 = 18

1/18

Determine the approximate measure of angle Y.​

Determine the approximate measure of angle Y.

Answers

Answer:I THINK THAT IT IS 60 DEGREES

Step-by-step explanation:

Given: AD/DC=BE/EC

Prove: AB=DE

А

D

2

E

B

Complete the steps of the proof.

Answers

Answer:

question given unclear bro add a photo or something it isnt clear

Step-by-step explanation:


2. There is a 13-foot ladder leaning against the side of a building. The ladder reaches up the building 12 feet.
How far is the bottom of the ladder from the bottom of the building? Picture

Answers

5 feet:
look at picture for steps:
2. There is a 13-foot ladder leaning against the side of a building. The ladder reaches up the building

T/F?The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring.

Answers

This statement is False as the probability of intersection of two events is always less than the probability of union.

This assertion is untrue. Contrary to popular belief, the likelihood of two occurrences coming together is always higher than or on pair with the likelihood of them colliding.

The chance of two events A and B occurring together can be calculated using the following formula to see why:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

According to this equation, the probability of A and B joining together is equal to the total of their individual probabilities less the likelihood of their colliding.

When we rewrite this calculation and focus only on the likelihood of the intersection, we obtain:

P(A ∩ B) = P(A) + P(B) - P(A ∪ B)

Now it is clear that the probability of the intersection is determined by subtracting the probability of their union from the sum of the probabilities of A and B.

P(A) and P(B) are both less than or equal to P(A B), since probabilities can never be negative. P(A + B) is therefore less than or equal to twice P(A + B) when they are added together. Thus, it follows:

P(A) + P(B) - P(A ∪ B) ≤ P(A ∪ B)

This indicates that, contrary to what the original statement implied, the probability of the intersection is not greater than or equal to the probability of the union.

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ABC is an equilateral triangle drawn on side BC of square BCDE prove that AE=AD

Answers

Answer:

in the picture

Step-by-step explanation:

in the picture

ABC is an equilateral triangle drawn on side BC of square BCDE prove that AE=AD

Read this word problem.
Connor is playing a card game called At Face Value. At the end of each round, players
earn positive points for their remaining number cards but negative points for their face
cards. At the end of round 1, Connor earns -5 points. At the end of round 2, he earns -6
points. What is Connor's score now?
To solve the problem, Michael added -5 + (-6) and came up with an answer of -11 points. Is
Michael correct? Why or why not?

Answers

Answer:

yes

Step-by-step explanation:

beacuse he is

Read this word problem.Connor is playing a card game called At Face Value. At the end of each round,

calculate the lie factor of the following graph. do you think the concept of a lie-factor is useful or relevant in practice?

Answers

Therefore, The lie factor is a helpful tool to identify misleading graphs, but it should be used alongside critical thinking and contextual understanding.

The lie factor is a measure of how much a graph distorts the data it represents. It is calculated by dividing the size of the effect shown in the graph by the size of the effect in the data. A lie factor of 1 indicates no distortion, while a lie factor greater than 1 indicates distortion. In practice, the concept of a lie factor can be useful to identify misleading graphs that exaggerate or downplay the significance of the data. However, it should be used in conjunction with other critical thinking skills and contextual understanding to fully evaluate the accuracy and relevance of a graph's message.

Therefore, The lie factor is a helpful tool to identify misleading graphs, but it should be used alongside critical thinking and contextual understanding.

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A simple random sample of 100 athletes is selected from a large high school. In the sample, there are 15 football players. What is the standard error of the sample proportion of football players

Answers

Therefore, the standard error of the sample proportion of football players is approximately 0.0113.

The standard error of the sample proportion can be calculated using the formula:

Standard Error = √((p * (1 - p)) / n),

where:

p is the sample proportion of football players (15/100 = 0.15),

n is the sample size (100).

Substituting the values into the formula, we get:

Standard Error = √((0.15 * (1 - 0.15)) / 100)

= √((0.15 * 0.85) / 100)

= √(0.01275 / 100)

= √(0.0001275)

≈ 0.0113 (rounded to four decimal places).

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A dress that regularly costs $85 is on sale for $40. What is the percen
markdown?

Answers

Answer:

53%

Step-by-step explanation:

Use percent decrease formula.

= 85-40/85

= 45/85

≈ 0.53

= 0.53 * 100%

= 53%

Best of Luck!

List the factor pairs of ac for the trinomial 12x^2-5x-2.

Answers

Answer:

(3x - 2) (4x + 1)

Step-by-step explanation:

12x² - 5x - 2

Since the first term has a coefficient, you need to multiply -2 with 12 to get -24.

Two factors that add up to -5 and have a product of -24 are -8 and 3.

12x² - 8x + 3x - 2

Rearrange the expression to find the GCF.

12x² + 3x - 8x - 2

3x (4x + 1) + (-1)2(-4x -1)

3x (4x + 1) - 2 (4x + 1)

(3x - 2) (4x + 1)

.Which of the following Pearson correlations shows the greatest strength or consistency of relationship?
a. â€"0.90 b. +0.74 c. +0.85 d. â€"0.33

Answers

The absolute value of the Pearson correlation coefficient indicates the strength or consistency of the relationship between two variables.

Therefore, the Pearson correlation coefficient with the greatest strength or consistency of relationship is the one with the highest absolute value.

In this case, the answer is:

a. â€"0.90

because it has the highest absolute value (|â€"0.90| = 0.90) among the options given. This indicates a very strong negative relationship between the two variables being compared.

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What is the law of large numbers?
If you were using the relative frequency of an event to estimate the probability of the event, would it be better to use 100 trials or 500 trials? Explain.

Answers

The Law of Large Numbers is a fundamental concept in probability theory and statistics stating the number of trials of a random event increases, the average of the outcomes approaches the expected value of the event. It's better to use 500 trials.

In other words, as we repeat an experiment a large number of times, the proportion of times that a certain outcome occurs will converge to its probability of occurrence. This is an important concept in statistical inference, as it helps to ensure that the results of a sample are representative of the population from which it was drawn.

Now, if you were using the relative frequency of an event to estimate the probability of the event, it would be better to use 500 trials rather than 100 trials. The reason is that the larger the number of trials, the more accurate the estimate of the probability is likely to be.

Using a larger sample size reduces the impact of random variation and provides a more precise estimate of the true probability. The Law of Large Numbers tells us that as the sample size increases, the relative frequency of the event should converge to the true probability, so a larger sample size will generally give a more reliable estimate

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A volleyball team scored 17 more points in its first game than in its third game. In the second game, the team scored 23 points. The total number of points scored was less than 60. What is the greatest number of points the team could have scored in its first game?

Answers

Answer:

27

Step-by-step explanation:

37
60-23=37

hope this helps

30% of the mass of an object is 24 kilograms. Use this fact to find: a 60% of the mass b 10% of the mass c 50% of the mass d the whole mass of the object​

Answers

Answer:

30% of the mass of an object is 24 kilograms. Use this fact to find: a 60% of the mass b 10% of the mass c 50% of the mass d the whole mass of the object​

Step-by-step explanation:

The question is in the picture:

The question is in the picture:

Answers

Hike 2:-62
Hike 3:-38
Hike 4:225

Answer:

hike 2 = -62

hike 3= -38

hike 4 = -225

Find The Edge Of The Cube Whose Leteral Surface Area Is 36cm2

Answers

Answer:

3 cm

Step-by-step explanation:

Find The Edge Of The Cube Whose Leteral Surface Area Is 36cm^2

LSA of cube = x^2 + x^2 + x^2 + x^2 = 4x^2

so

4x^2 = 36

x^2 = 9

x = 3

-------------------------------

check

4 * 3^2 =

4 * 9 =

36

the answer is good

Answer: 3 cm

Step-by-step explanation:

Test the exactness of ODE, if not, use an integrating factor to make exact and then find general solution: (2xy-2y^2 e^3x)dx + (x^2 - 2 ye^2x)dy = 0.

Answers

It is requred to test the exactness of the given ODE and then find its general solution. Then, if the given ODE is not exact, an integrating factor must be used to make it exact.

This given ODE is:(2xy - 2y²e^(3x))dx + (x² - 2ye^(2x))dy = 0.To verify the exactness of the given ODE, we determine whether or not ∂Q/∂x = ∂P/∂y, where P and Q are the coefficients of dx and dy respectively, as follows: P = 2xy - 2y²e^(3x) and Q = x² - 2ye^(2x).Then, we have ∂P/∂y = 2x - 4ye^(3x) and ∂Q/∂x = 2x - 4ye^(2x).Thus, since ∂Q/∂x = ∂P/∂y, the given ODE is exact.To solve the given ODE, we have to find a function F(x,y) that satisfies the equation Mdx + Ndy = 0, where M and N are the coefficients of dx and dy respectively. This is accomplished by integrating both P and Q with respect to their respective variables. We have:∫Pdx = ∫(2xy - 2y²e^(3x))dx = x²y - y²e^(3x) + g(y), where g(y) is a function of y. We differentiate both sides of this equation with respect to y, set it equal to Q, and then solve for g(y). We have:(d/dy)(x²y - y²e^(3x) + g(y)) = x² - 2ye^(2x)Thus, g'(y) = 0 and g(y) = C, where C is a constant.Substituting the value of g(y) in the equation above, we get:x²y - y²e^(3x) + C = 0, as the general solution.The given ODE is exact, so we can solve it by finding a function that satisfies the equation Mdx + Ndy = 0. After integrating both P and Q with respect to their respective variables, we find that the general solution of the given ODE is x²y - y²e^(3x) + C = 0.

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how to simplify 8 + ( -6 ) + 4

Answers

Answer:

6

Step-by-step explanation:

8+4=12

12-6=6

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