The formula v = square root of 64h gives the velocity v in feet per second of an object that has fallen h feet. find the velocity of an object that has fallen 76 feet. round to the nearest hundredth.

Answers

Answer 1
V = sqrt (64h)
h = 76

V = sqrt (64 * 76)
V = sqrt 4864
V = 69.742 rounds to 69.74 feet per second <=
Answer 2

Answer:

69.74 feet per second is the velocity of an object that has fallen 76 feet

Step-by-step explanation:

As per the statement:

The formula v = square root of 64h gives the velocity v in feet per second of an object that has fallen h feet.

⇒[tex]v = \sqrt{64h}[/tex]

where, v is the velocity in feet per second and an object that has fallen h feet.

We have to find the velocity of an object that has fallen 76 feet.

⇒ h = 76 feet.

Substitute in the given formula we have;

[tex]v = \sqrt{64 \cdot 76} = \sqrt{4864} = 69.7423831[/tex] feet per second

Therefore, the velocity of an object that has fallen 76 feet to the nearest hundredth is, 69.74 feet per second


Related Questions

If one candy bar weighs 3 ounces what is the weight of 11 candy bars

Answers

Final answer:

The weight of 11 candy bars is calculated by multiplying the weight of one candy bar, which is 3 ounces, by 11. The total weight for 11 candies is equal to 33 ounces.

Explanation:

If one candy bar weighs 3 ounces, the weight of 11 candy bars can be found by multiplying the weight of one candy bar by the number of candy bars. The calculation would be as follows:

Multiply the weight of one candy bar by the number of candy bars: 3 ounces × 11 = 33 ounces.

Therefore, the weight of 11 candy bars is equal to 33 ounces.

Using the speaking outline, how many times should you practice? five or more three two one

Answers

According to the speaking outline, it is recommended to practice your speech at least five times or more.

According to the speaking outline, you should practice your speech "five or more" times. Practicing your speech multiple times helps you become more familiar with the content, improve your delivery, and gain confidence in your presentation. The more you practice, the better prepared you'll be to deliver a successful speech.

Therefore,  it is recommended to practice your speech at least five times or more.

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According to the speaking outline, it is recommended to practice your speech at least five times or more.

According to the speaking outline, you should practice your speech "five or more" times.

Practicing your speech multiple times helps you become more familiar with the content, improve your delivery, and gain confidence in your presentation.

The more you practice, the better prepared you'll be to deliver a successful speech.

Therefore,  it is recommended to practice your speech at least five times or more.

for such more question on times

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BRAINLIESTTTTT
1. Write the equation of the line that passes through the points (3, 6) and (4, 10) using function notation.

f(x) = 4x − 6
f(x) = x + 4
y = x + 4
y = 4x − 6

Answers

Answer:

  1.  f(x) = 4x -6

  2. see the attachment

Step-by-step explanation:

1. The only two answer choices using "function notation" are the first two, which are of the form ...

  f(x) = <some expression involving x>

The only one of these that can describe both points is the first one:

  f(x) = 4x -6

  f(3) = 4·3 -6 = 6

  f(4) = 4·4 -6 = 10

__

2. Slope is the ratio of rise to run. When it is zero, there is no rise for any amount of run: the line is horizontal. The appropriate choice is the graph that shows a horizontal line.

Given B = {a, l, g, e, b, r} and C = {m, y, t, h}, find B ∪ C

Answers

The union of two sets includes elements found in both sets. Here, including every element in both B and C yields the set B ∪ C = {a, l, g, e, b, r, m, y, t, h}

An isosceles triangle has two sides of equal length. The third side is 5 less than twice the length of one of the other sides. If the perimeter of the triangle is 23 cm, what is the length of the third side? Explain how you would define a variable for this problem.

Answers

2x+(2x-5)=23
4x=28
x=7
2×7-5=9
The third side is 9 the variable is x
Final answer:

To find the length of the third side, we can set up an equation using variables. Solving the equation will give us the length of the third side.

Explanation:

To solve this problem, we can define variables to represent the lengths of the two equal sides of the isosceles triangle. Let's say the length of each equal side is x. The third side can then be represented as 2x - 5. Since the perimeter of the triangle is 23 cm, we can set up an equation:

x + x + (2x - 5) = 23

Now we can solve for x:

4x - 5 = 23

4x = 28

x = 7

Therefore, the length of the third side is 2(7) - 5 = 9 cm.

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PLEASE HELP!!!
1. The coordinates of the vertices of triangle ABC are A(-1,3), B(1,2) and C(-3,-1).

Determine the slope of each side of the triangle and use that information to determine if the triangle is a right triangle or not.


2.The coordinates of the vertices of quadrilateral JKLM are J(-3,2), K(4,-1), L(2,-5) and M(-5,-2).

Find the slope of each side of the quadrilateral and determine if the quadrilateral is a parallelogram

Answers

1. AB 3-2/-1-1
-1/2
BC 2+1/1+3
3/4
AC 3+1/-1+3
4/2=2
It is a right triangle


2. JK -1-2/4+3
-3/7
LM -2+5/-5-2
-3/7
KL -1+5/4-2
4/2=2
JM 2+2/-3+5
4/2=2
The quadrilateral is a parallelogram

Solve for q.

s = 4p + 4q

I'm thinking q= s - 4p
--------
4

Answers

q=-p+8/4
that ur answer

What is the number in scientific notation? 409,200,000,000

Answers

4.092 x 10 to the 11th power
409,200,000,000 = 4.092 x 10^11

You are paid $82.50 for 7 1/2 hours of work. What is your rate of pay?

Answers

$82.50/7.5= $11 dollars an hour

all you have to do is take the total, and divide it by how long you work, in order to get how much you made per hour.  

hope this helped!
Rate of pay is 11 dollars

true or false circumference is the distance around the outside of a circle.

Answers

The answer to the question is true
True circumference is the distance around the outside of a circle

The sum of the angle measures of a polygon with n sides is 1260. find n.

Answers

Knowing the interior angle sum formula is; 

180x(n-2)

180x(n-2)=1260 (solve for n here) 
180n-360=1260 
180n=1260+360
180n=1620 
n=1620/180 
n=9

Therefore, this polygon has 9 sides.

Hope I helped :) 

The sum of the angle measures of a polygon with 9 sides is 1260.

What is Angle Sum property?

To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.

As, the sum of the interior angles

(x - 2) x 180 where x is number of sides.

Here, the angle sum for n side is 1260.

So, (n -2) 180 = 1260

n -2 = 1260 / 180

n - 2 = 7

n= 7+2

n= 9 sides

Thus, the polygon have 9 sides.

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Rewrite the expression as a polynomial in standard form.

Answers

combine like terms (click on pic)
and then rewrite putting the number with the highest exponent first, the second highest and so on

The expression (2x² - x³ - 9x + 1) - (x³ + 7x - 3x² + 1) can be rewritten in standard form as -2x³ + 5x² - 16x

How did we get the value?

To rewrite the expression (2x² - x³ - 9x + 1) - (x³ + 7x - 3x² + 1) as a polynomial in standard form, we can combine like terms.

First, let's distribute the negative sign in front of the parentheses:

(2x² - x³ - 9x + 1) - x³ - 7x + 3x² - 1

Next, let's group the like terms together:

2x² + 3x² - x³ - x³ - 9x - 7x + 1 - 1

Now, let's combine the terms:

(2x² + 3x²) + (-x³ - x³) + (-9x - 7x) + (1 - 1)

5x² - 2x³ - 16x + 0

Finally, the expression (2x² - x³ - 9x + 1) - (x³ + 7x - 3x² + 1) can be rewritten in standard form as:

-2x³ + 5x² - 16x

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Could someone help with 14 I know it’s not a Consecutive interior but it could be A) alternate interior B) alternate exterior C) corresponding D) exterior

Answers

1, 4, 6, and 7 are all alternate exterior angles because they are crossed by the transversal line through the middle and they are all on the outside, or exterior, and they are alternate, or opposite. they would be congruent only if they are parallel. 

-hope this helps

Help me with this please

Answers

Alright, so for every addition or subtraction (without the whole thing being in parenthesis and multiplied by something) sign, there is 1 term to the right of it and 1 term to the left of it. However, we have to make sure not to overlap - for example, m is only 1 term - it can't be counted as 2 since it's to the right of a - and to the left of a +. Our terms are therefore 2m²n, 2mn², m, 3n, and 9

Problem page the sum of two numbers is 56 . the smaller number is 16 less than the larger number. what are the numbers?

Answers

Create equations using the given information
1) x+y=56
2) y=x-16
Substitute the value of y into the 1st equation and simplify
1)x+x-16=56
   2x=72
   x=36
Substitute the value of x into the 1st equation and simplify
1)x+y=56
   36+y=56
   y=20

Answer: 20 and 36

A car travels 83 7/10 miles on 2 1/4 gallons of fuel. Which is the best estimate of the number of miles the car travels on one gallon of fuel

Answers

round miles up to 84

round gallons down to 2

 and divide

84 /2 = 42 miles per gallon ( estimate)

What is the inverse of the conditional statement “If a number is divisible by 6, then it is divisible by 3”?

Answers

If a number is not divisible by 6, then it is not divisible by 3. That is your answer.
Hope this helps
If a number is divisible by 6, then it is divisible by 3. Like 6x3=12
6 divided by  is 2
Hope this helped!!!!!

Find the slope of the line through the points (x1, y1) and (x2,y2)

Answers

The formula to find the slope of a line is:

y2 - y1
______ =m
x2 - x1

Plug the numbers into the equation and solve. 

Answer:

y2-y1/x2-x1

Step-by-step explanation:

If you study hard, then you can pass the tests.
If you pass the tests, then you can pass the class.

What conclusion can be draw from the statements above?
A) Studying hard will allow you to pass the class.
B) Only students who pass tests study hard.
C) If you have passed the class, you must not have studied very hard.
D) Not passing tests means that you did not study.

Answers

I think we all know it's A XD

Answer:

A) Studying hard will allow you to pass the class.

Kristin is 20 miles behind a truck that is driving 50 miles per hour. How long will it take her to catch up to the truck? How far will she go in that time

Answers

t = 20/(r-50)t=20/r-50 hours

Final answer:

It will take Kristin 24 minutes to catch up to the truck. She will travel a distance of 20 miles in that time.

Explanation:

To calculate how long it will take for Kristin to catch up to the truck, we can use the equation: time = distance / speed. Since Kristin is 20 miles behind the truck, she will need to cover a distance of 20 miles to catch up to the truck. Assuming she drives at a constant speed, we can use her speed as the truck's speed since she needs to match it to catch up.

Time to catch up = 20 miles / 50 miles per hour = 0.4 hours = 24 minutes.

In that time, Kristin will travel the same distance as the truck. So, she will go 20 miles in 24 minutes.

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A student has selected 8 books that she likes, but she has money only for 3 books. how many possible selections does she have?

Answers

Since the order of the books chosen doesn't matter, we use the combination formula to find the number of possible selections. Recall that a combination of k items from a set of n items is given by   [tex]nCk= \frac{n!}{k!(n-k)!} [/tex]. 

In this problem, n = 8 and k = 3. So the number of possible selections is 
[tex]8C3= \frac{8!}{3!(8-3)!}=56 [/tex]. Thus the answer is 56.
The student has 6,720 selections to choose from. Because order doesn’t matter, the problem is a combinations function. It is solved by dividing the factorial of 8 by the factorial of 3. So (8*7*6*5*4*3*2*1)/(3*2*1)

if x^2+14x-95=(x+a)(x+b), then the numerical value for ab is

Answers

x^2+14x-95 =  (x+19)(x - 5)

a = -5
b = 19

Find the simple interest on a loan of $3,500 at 7.8% interest for 9 months

Answers

3,500 + (3,500 7.8)*9

Katherine owns the trendy boutique where Clara works as a shop assistant. Deanne loves the clothes in Katherine's boutique and shops there often. Which of these three people is a consumer?

Answers

Deanne is the consumer

Answer:

Deanne

Step-by-step explanation:

Deanne is a consumer

what is the answer to this 5+5x=-2x+5=?

Answers

5x = -2x
5x + 2x = 0
7x = 0
x = 0

5+5x=-2x+5

Isolate the x. Add 2x to both sides, and subtract 5 from both sides

5 (-5) + 5x (+2x) = -2x (+2x) + 5 (-5)

5x + 2x = 5 - 5

8x = 0

Isolate the x. Divide 8 from both sides

8x/8 = 0/8

x = 0

0 is your answer

hope this helps

Each of my daughters has as many brothers as sisters, but each of my sons has three times as many sisters as brothers. How many children do I have?

Answers

Put the number of daughters as x and number of sons as y.

For the first half of the statement:
Number of sisters any daughter has = x-1 ( because you can't be your own sibling)
Number of brothers = y

y=x-1.

For the second half:
Number of sisters any son has = x
Number of brothers any son has = y-1

3(y-1)=x

Solve as system of equations.
3y-3=x
3(x-1)-3=x
3x-3-3=x
2x=6
x=3
y=x-1=3-1=2

3 daughters and 2 sons.

Hope this helps!
Your fortune is "You can't have everything...where would you put them all?"
Final answer:

The family has 3 sons and 3 daughters, for a total of 6 children.

Explanation:

The question is a problem in basic algebra which can be solved using simple logical reasoning. We are given that each daughter in the family has as many brothers as sisters, and each son has three times as many sisters as brothers.

Let's start by saying that the number of daughters is D and the number of sons is S.

If each daughter has the same number of brothers as sisters, that means D = S. But, each son has three times as many sisters as brothers, which we can express as S = 3*(D - 1), because the number of sisters for each son is the number of daughters minus one (each son doesn't count himself as a sister).

By substituting D from the first equation into the second, we get S = 3 * (S - 1), which simplifies to S = 3, and thus D = 3 as well.

So, the family has 3 sons and 3 daughters, for a total of 6 children.

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which fraction is less than 7/15
A: 5/9
B: 6/11
C: 1/2
D: 4/9

Answers

Convert them all to decimals 

The answer is D
D hope this helps
please give brainliest

The data value x exists in two data sets: A and B. The mean is equal for both data sets. If the standard deviation for set A is greater than the standard deviation for set B, which is true for zx for set A?

Answers

Answer:

answer is B

it is less than Zx for set B

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

A storage tank at a 24-hour gas station contains 25,000 gallons of gasoline at 8:00 a.m. on Monday. At 8:00 a.m. on Friday of the following week, the amount of gasoline in the tank has decreased to 7000 gallons. What is the average hourly rate of change of gasoline in the tank?

Answers

-56.818 (repeating) gallons per hour

if b is between a and c then ab+bc=ac

Answers

That's false. Take the numbers 1, 3, and 5.
Let a = 1, b = 3, and c = 5.
ab + bc = ac
3 + 15 = 5
18 ≠ 5
Since 18 does not equal 5, this is false. If you were to use the distributive property on ab + bc = ac, you would get
b(a+c) = ac, which doesn't even make sense.
Have a nice day! :)
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