A spherical ball has a diameter of 8 inches. The ball has a slow leak in which the air escapes at the rate of 2.5 inches per second. How long would it take for the ball to deflate? Round to the nearest tenth.

Answers

Answer 1

Answer:

107.2 seconds

Step-by-step explanation:

Step one:

given

the diameter of ball 8 inches

radius= 8/2 = 4 in

The volume of the ball

[tex]v=4/3 \pi r^3[/tex]

[tex]v= 4/3*3.142*4^3\\\\v= 4/3*3.142*64\\\\v= 804.35/3\\\\v=268.12 in^3[/tex]

Step two:

we know that

rate= quantity/time

rate= 2.4 in per second

quantity= 268.12

time=?

time= quantity/rate

time= 268.12/2.5

time= 107.2 seconds


Related Questions

Find the value of x.
130°
(3x + 5)º

Answers

Answer:

15 = X . hope this helped

Justify Step 3 of this Proof

Answers

Segment AC is equal to CA by Reflexive Property.

What is the image point of (-1, -3) after

Answers

By using the translation formula, the image point of (- 1, - 3) is equal to the point (2, 1).

How to determine the coordinates of the image of a point by using a translation formula

In this problem we find the coordinates of a point, whose image must be found by using a translation, a kind of rigid transformation. The formula for the determination of the coordinates of the image is introduced below:

P'(x, y) = P(x, y) + T(x, y)                 (1)

Where:

P(x, y) - Original pointP'(x, y) - Resulting pointT(x, y) - Translation vector

If we know that P(x, y) = (- 1, - 3) and T(x, y) = (3, 4), then the coordinates of the resulting point according to the transformation rule are:

P'(x, y) = (- 1, - 3) + (3, 4)

P'(x, y) = (2, 1)

The image point of (- 1, - 3) is equal to the point (2, 1).

To learn more on rigid transformations: https://brainly.com/question/1761538

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PLZZPLZZ ANSWERALL THE QUESTIONS I CANT CELEBRATE CHRISTMAS IF I DONT FINISH PLZ HELP PLZZ LOOK AT THE PIC plzz

Answers

Answer:

17: Slope = -5

18: = 1/3

19: = -1/5

20: = Does not exist

21: = 1/4

22: =-2/3

Step-by-step explanation:

Please follow and mark me braibliest

happy Christmas

Jared cycles 3/4 miles in 5 minutes. Roy cycles 2 miles in 13 minutes. Whose speed is greater

Answers

Answer:

Roy speed is greater

Hope this helps

Answer:

Roy

Step-by-step explanation:

(3/4)/5 = 0.15 so Jared cycles 0.15 miles per minute

2 / 13 = 0.15384... so Roy cycles about 0.154 miles per minute

Roy cycles faster

Which of the following expressions are undefined? CHOOSE ALL THAT APPLY

A. 6/0
B. 5/0
C. 6/5-5

Answers

Answer:

6/0, 5/0, 6/5-5

Step-by-step explanation:

You cannot divide a number by 0:

6/0 is dividing by 05/0 is dividing by 06/5-5=6/0 which is dividing by 0

how do you solve 6x+104=16x+114

Answers

Answer:

x = -1

Step-by-step explanation:

6x + 104 = 16x + 114

First subtract 104 from both sides

Now you have:

6x = 16x + 10

Subtract 16x from both sides

-10x = 10

Divide by -10 on both sides and you get your answer

x = -1

Answer:

x = - 1

Step-by-step explanation:

First you wanna subtract 104 from both sides

6x + 104 - 104 = 16x + 114 - 104

you should get 0 on the left and 10 on the right

next you subtract 16x from both sides  

6x - 16x = 16x - 16x + 10

you should get -10x on the left side and get 0 on your right

next you divide both side by -10

-10x ÷ -10 = 10 ÷ -10

the left should be 0 and the right should be -1

that's how i got the answer and I hope it helped !

HELPPP ASAP PLZZZ!!!!!

Answers

Answer:

its c

Step-by-step explanation:

why do I need to explain

Como se resolvería este ejercicio paso a paso?
{x − 1 ≤ x ≤ 15}​

Answers

Answer:

which language it is ?i can't understand it

Step-by-step explanation:

please ask in english language

x - 1 less than equal to x less than equal to 15

x greater than equal to x - 1
x less than equal to 15

x less than equal to 15

the solution is (negative infinity sign, positive 15]

the answer in alternative form is x less than equal to 15

PLEASE HELP I WILL GIVE BRAINLIEST!

Answers

the answer is the second one

Step-by-step explanation:

y=mx+c where m is the gradient or slope and c is the y intercept I think this is right

6) In a true experimental design, the manipulated variable, or grouping variable is
and assignment to groups is
(choose the option in which both are correct)
called the
a) dependent variable; random
b) dependent variable; based on preexisting differences
c) independent variable; based on preexisting difference
d) independent variable; random

Answers

In a true experimental design, the manipulated variable, or grouping variable is  independent variable; based on pre-existing difference.

What is the independent variable?

The independent variable is the variable in an experiment that is manipulated by the researcher. It is assumed that the independent variable has a direct effect on the dependent variable. The dependent variable is the variable whose value is being determined  in the experiment.

For example, you want to carry out an experiment to determine the effect of the hours spent reading for a test on the grade gotten on the grade. In this research, the independent variable is the hours spent reading and the dependent variable is the grade gotten. Different data on the hours studied would be collected.

To learn more about independent variables, please check: https://brainly.com/question/26287880

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i need help with questions 12 and 13 please i dont understand this at all

Answers

Answer:

3rd and 4th options

Step-by-step explanation:

(12)

(f + g)(x)

= f(x) + g(x)

= x - 2 + 5x - 1 ← collect like terms

= 6x - 3

(13)

(g • f)(x)

= g(x) × f(x)

= - 3x(6x² - 3x) ← multiply each term in the parenthesis by - 3x

= - 18x³ + 9x²

2.3.4 - What two numbers multiply to -40 and add up to -3?
Your answer
Is it 120

Answers

Answer:

-8 and 5

Step-by-step explanation:

Roy weighs 150 pounds and plans to lose 1.5 pounds a week. Luis weighs 200 pounds and plans to lose 2.5 pounds a week. Which equation shows when Roy and Luis will weigh the same? Use x for the number of weeks

150 −1.5x=200−2.5x150 −1.5x=200−2.5x

150 +1.5x=200−2.5x150 +1.5x=200−2.5x

150 +1.5x=200+2.5x150 +1.5x=200+2.5x

Answers

Answer:

A

Step-by-step explanation:

If im wrong im sorry bc the other ones are addition and they said looseing weight i jus picked da 1 dat made sense to meh.

Enter the equation of the line in slope-intercept form.
Slope is -1, and (2,5) is on the line.
The equation of the line isy =

Answers

Answer:

-x+7

Step-by-step explanation:

y-5= -1(x-2)

y-5= -1x+2

+5        +5

y= -x+7

how do i express this as a trinomial
(2x+5)(3x+7)

Answers

Answer:

6x^2 + 29x + 35

Step-by-step explanation:

(2x+5)(3x+7)

multiply 2x with 3x and 7

multiply 5 with 3x and 7

simplify

6x^2 + 14x + 15x + 35

= 6x^2 + 29x + 35

Franklin saw 12 blue, 18 red and 30 white cars drive by his house in 1 hour. What percent of the cars were blue?
A. 12%
B. 18%
C. 20%
D. 30%​

Answers

Answer:

C

Step-by-step explanation:

Use the scatter plot to fill in the missing coordinate of the ordered pair.

Answers

it looks like it would be (2,17) but could b wrong

Sam noticed that some people purchased like items and decided to start offering a bundle. If you buy the following items together, you get 15% off. How much will the bundle cost? $11.00 snorkle $30.00 for goggles $36.00 for flipperd​

Answers

Answer: $65.45

Step-by-step explanation:

Cost of Snorkle = $11.00

Cost of goggles = $30.00

Cost for flippered = $36.00

Total cost = $11.00 + $30.00 + $36.00 = $77.00

Since there's a 15% off, the cost of the bundle will be:

= $77 - (15% × $77)

= $77 - (0.15 × $77)

= $77 - $11.55

= $65.45

(-8,7) and (x,9) given m=1/2

Answers

Answer:

x = -4

Step-by-step explanation:

put the quardinates in the slope formula and set it to 1/2 and solve by cross multiplying

9-7/x+8 = 1/2

2/x+8 = 1/2

4 = x+8

x = -4

Which set of numbers is correctly ordered from greatest to least?

Answers

Answer:

It's the last choice.

Step-by-step explanation:

Convert them to decimal form:-

7 1/3 = 7.333....

221/30 = 7.36666......

⁻⁻⁻⁻⁻

7.36 = 7.36363636,,,

2.4√(3π) = 7.367952297

So, from greatest to least they are:

                               ___

2.4√(3π), 221/30, 7.36,  7 1/3.  

If UX=34 and VX=37, what is WX? Write your answer as a whole number or as a decimal rounded to the nearest hundredth. *

Answers

I believe the answer would be WX=39

8.4×10 to the power of 7-6.2×10 to the power of six in scientific notation

Answers

Answer:

84000000 and −6200000

If both lines had been dotted lines instead, how might that have affected the possible solutions?

Answers

Answer:

Step-by-step explanation:

You will have less possible solution y is less than or y is greater than so everything touching the line will not be a solution just everything else.

ANSWER QUICKLY WILL MARK BRAINLIEST
Solve this equation and show all your work
-5 x 2 ÷ -2

Answers

Answer: The answer is <5>

Step-by-step explanation:

Solution Steps

−5×2÷−2

Cancel out −2 and −2.

−5(−1)

Multiply −5 and −1 to get 5.

5

I hope this helps!

An angle's measure is 43 less than 6 times the measure of its
complement. Find the measure of both angles,

Answers

Step-by-step explanation:

A = 6(90-A)-43 Simplify and solve for A.

A = 540-6A-43

A = 497-6A Add 6A to both sides.

7A = 497 Divide both sides by 7.

A = 71 degrees

The complement of A = 90-A = 09-71 = 19

Hope this help :)

ligth travels about 186,00 mi/s. the function d(t) = 186,000 gives the distance d(t), in mile, that ligth travels in t seconds. how far does ligth travel in 26s?​

Answers

Answer: The correct answer is 4,836,000 miles.

Step-by-step explanation: Multiply 186,000 the Miles per second, by 26 and it gets your answer.

I will give you brainlist!

Answers

the answer is 4.8

to solve start by dividing 4 by 2.5 to find the scale factor. then multiply 3 by the scale factor.

4/2.5= 1.6
3x1.6= 4.8

Fill in the blank to make the two fractions equivalent.​

Answers

Answer:

1/2 = 2/4

Step-by-step explanation:

I need to find x, please ​

Answers

X+40+134=180
X+174=180 (combine like terms)
X=6 (subtract)
40 plus 134 is 174. 180 minus 174 is 6. X= 6
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