Select the correct answer. sara goes on a slingshot ride in an amusement park. she is strapped into a spherical ball that has a radius of centimeters. what is the volume of air in the spherical ball? use this formula: , where r is the sphere’s radius. a. b. c. d.

Answers

Answer 1

The volume of air in the spherical ball is [tex]\frac{4}{3}\cdot \pi\cdot 3^3\cdot 10^6[/tex]. So the option A is correct.

In the given question, we have to find the volume of air in the spherical ball.

A sphere's capacity is measured by its volume. It is the area the sphere calls home. Cubic units are used to express the volume of a sphere. The sphere has a three-dimensional, rounded shape. Its shape is defined by its three axes, which are the x, y, and z axes.

Since the cross-section of the sphere is a circle, the volume in this situation is dependent on the radius's diameter. A sphere's surface area is the area or region of its outside. The following formula can be used to determine the volume of a sphere whose radius is "r":

V = [tex]\frac{4}{3}\pi r^{3}[/tex]

As given r = 3·10^2. So,

V = [tex]\frac{4}{3}\pi (3\cdot 10^2)^{3}[/tex]

V = [tex]\frac{4}{3}\cdot \pi\cdot 3^3\cdot 10^6[/tex]

V = [tex]4\cdot \pi\cdot 3^2\cdot 10^6[/tex] cm^3

Hence, the option A is correct.

To learn more about volume of sphere link is here

brainly.com/question/9994313

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The complete question is given below:

Select The Correct Answer. Sara Goes On A Slingshot Ride In An Amusement Park. She Is Strapped Into A

Related Questions

Solve 4/y=2/11 plz i need answer

Answers

y = 22

4/y = 2/11
(Times 4 by 11 and 2 by y)

44 = 2y
(2 divided by 44)
y = 22

on monday, johnny had $30 in his lunch account. On Friday, he had $15 in his account.

Answers

Answer:

Im a little confused as to what the question is

Step-by-step explanation:

I believe that maybe your question was, "how much money is the lunches at the school?" if so.. I can help.

If he spent $15 for 5 days, and we are assuming he had lunch every day....

$15 divided by 5 equals $3.

The school lunches are $3.

Please help me, I am unsure how to do this

Answers

Answer:

-1/4

Step-by-step explanation:

Answer: -4 I think

Step by step: The equation for finding a slope is y2 -y1 /X2 - X1 and by x and y it means the coordinates so just pick a random two pair of coordinates and use that equation and if u chose (-1,4) and (1,-4) it will be -4-4/1- -1 which is -4. This works for any 2 coordinates. Sorry if that makes no sense lol

Jaxon invested $960 in an account paying an interest rate of 6.1% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,720

Answers

Answer: 10 years

Step-by-step explanation:

1720=960(1+0.061/12)

What is the input value for which f(x)=3?

Answers

Answer:

According to the graph −3 is the point (5,−3)left parenthesis, 5, comma, minus, 3, right parenthesis. In other words, f(5)=−3f, Therefore, the answer x=5

The answer is 1,

Hope this help

which of this numbers should go inside the box to make the equation true blank plus 4 over 2 equals 10

Answers

Given:

The expression is

[tex]\dfrac{\_\_\_+4}{2}=10[/tex]

To find:

The number of the blank.

Solution:

Let x be the missing number for the blank. Then,

[tex]\dfrac{x+4}{2}=10[/tex]

Multiply both sides by 2.

[tex]x+4=20[/tex]

Subtract 4 from both sides.

[tex]x=20-4[/tex]

[tex]x=16[/tex]

Therefore, the missing number for the blank is 16.

2/3 of all your books are fiction. 1/6 of those are historical fiction.

What fraction of all your books are historical fiction?




1/9

1/18

1/3

1/2

Answers

Answer:

1/9

Step-by-step explanation:

2/3 x 1/6 = 2/18 or 1/9

1/9

Explanation: Very BIG Brain reasons!

Calculate the simple interest on $ 6400 at 10% p.a. for 9 months.​

Answers

this is the right answer good luck

Can someone help? Correct answer gets brainliest!

Answers

Answer:x= 8

Step-by-step explanation:11-3=8. 8+3=11

find the sum −10t−7−10t−7

Answers

Answer:

-20t-14

Step-by-step explanation:

-10t-10t= -20t

-7-7= -14

Evaluate expression: 3(5g + 5 - 2)

Answers

Answer: 15g + 9

Step-by-step explanation: Have a brilliant day!- Lily ^_^ Plz mark brainliest.

PLEASE HELP ME!
Answer in as much detail as needed please! Im giving 15 points for the best one!

Answers

Step-by-step explanation:

The answer is 220in^2 and hope it's useful and helpful to you.

solve 256^(x+2)=16^(3x-1)
x=

Answers

X = 5
Hope this helps

6/54-x = 5/x
x=____



Answers

Answer:

x=−44/9

Step-by-step explanation:

6/54−x=5/xx

Simplifies to:

−x+1/9=5

Let's solve your equation step-by-step.

−x+1/9=5

Step 1: Subtract 1/9 from both sides.

−x+1/9−1/9=5−1/9

−x=44/9

Step 2: Divide both sides by -1.

−x/−1=44/9/−1

x=−44/9

make m the subject of the formula in 3-mx/2+2y=p/q​

Answers

It means we want to isolate m so...

mx/2+2y=p/q

mx/2=p/q-2y

mx=2p/q-4y

m=(2p/q-4y)/x

Hope this helped if you have any more questions ask it in questions.

how do you solve 0.4m(40m-20n)

Answers

Answer:

= 16m2o−8mno

Step-by-step explanation:

A basket holds n apples. You pick (2n − 3) apples, and your friend picks (n + 4) apples.
How many baskets would you need if you collected 10 apples with your friend?

Answers

Answer:The equation would be 3n+1 apples.

Step-by-step explanation:

What is the approximate volume of a cone with height of 6 mm and a radius of 18 mm use 3.14 to approximate pi and express your final answer to the nearest hundredth

Answers

Answer: 2034.72

Step-by-step explanation: i got 100% on the quizz and it is correct.

Write as a fraction greater than one. (an improper fraction)
HURRY PLZZZZZZZZZZZZZZZ. ill mark brailyist thingy

Answers

Answer:

13/3

Step-by-step explanation:

The formula to calculate that is 4*3+1=12+1=13/3 so the answer is 13/3.

Answer:

13/3

Step-by-step explanation:

(4x3+1)/3

=(12+1)/3

=13/3

Please help I only have 1 hour left .

Answers

Answer:

c

Step-by-step explanation:

please help me please do them all its just thrree

Answers

4x+12, 4x+12
10+50m+20, 30+50m
8a+a^2+3a, 11a+a^2

Step-by-step explanation:

hope this helps. I worked out then posted.

An inlet pipe can fill a water tank in 12 hours. An outlet pipe can drain
the tank in 20 hours. If both pipes are mistakenly left open, how long will
it take to fill the tank?

Answers

Answer:   30 hours

============================================================

Explanation:

Let's consider the tank's full capacity is 240 gallons. I'm picking this number because 12*20 = 240.

If the tank is 240 gallons, then the inlet pipe can fill it at a rate of 240/12 = 20 gallons per hour. Note after 12 hours, we have 12*20 = 240 gallons filled assuming the outlet pipe is sealed shut.

At the same time, the outlet pipe is draining at a rate of 240/20 = 12 gallons per hour. After 20 hours, the outlet pipe would drain out 12*20 = 240 gallons assuming the inlet pipe is not adding any water.

With the two pipes playing this tug-of-war battle, the inlet pipe ultimately wins because it's adding more gallons of water each hour, compared to the amount drained per hour. The net change is +20-12 = 8 gallons per hour.

This means it will take 240/8 = 30 hours to fill the tank with both pipes open.

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

Another approach:

The inlet pipe can fill the tank in 12 hours, so it gets 1/12 of the job done per hour. The outlet pipe drains the tank in 20 hours, so it gets 1/20 of the job done in one hour.

The net change is 1/12 - 1/20 = 5/60 - 3/60 = 2/60 = 1/30

This means that when both pipes are open, 1/30 of the job is done per hour. By "job", I mean "filling the tank".

If x is the number of hours needed to do one full job, then we can multiply that by the unit rate (1/30) and set the result equal to 1

(rate)*(time) = 1 job

(1/30)*x = 1

x = 30*1

x = 30

It takes 30 hours to do the job with both pipes open.

a deli made $320000 in revenue last year. Due to increased popularity of deli, the owner predicts that revenue will increase by 23% next year. How much revenue does the owner think the deli will generate next year?

Answers

This will be an educated guess but I think the answer would be $565000

Which equation is true?

Answers

Answer:

i think its the 3rd option

A light bulb manufacturer claims that the lifetime of the bulbs is normally distributed with a mean of 5000 hours and a standard deviation of 250 hours. If 20000 bulbs are produced on a particular day, what percentage of the bulbs will have a lifetime of between 4750 and 5500 hours?

Answers

Answer:

88

Step-by-step explanation:

4.) A radio station tower was built in two sections. From a point 87 feet from the base of the tower, the angle of elevation of the top of the first section is 25°, and the angle of elevation of the top of the second section is 400. To the nearest foot, what is the height of the top section of the tower? (LT. 3.7 & 3.8)

(This is Trigonometry)

Answers

tan25°=a/87, a (lower half of tower) = 36.0366.
tan40°=x/87, x = 63.209.
subtract 63.209-36.0366=27.1724~27 ft.

If $18\sqrt 8-8\sqrt{18}=\sqrt n, what is n?

Answers

Answer:

288 trust me it is 100% right I tried it as an answer an got it right.

Step-by-step explanation:

Answer:

288

Step-by-step explanation:

From the first two parts of the problem, we have

18√8 - 8√18 = 36√2 - 24√2

                    = (36 - 24)√2

                    = 12√2.

Thus, we wish to solve for n in the equation 12√2 = √n. In other words, we want to know what number 12√2 is the square root of. Any nonnegative number is the square root of its own square, so

n = (12√2)²

  = 12²(√2)²

  = 144 ∙ 2

  = 288.

i will mark u brainles if you're correct

Answers

9514 1404 393

Answer:

  rules of exponents apply

Step-by-step explanation:

The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)(a^c) = a^(b+c)

__

Applying those rules to the given equation, you get ...

  [tex]\left(\dfrac{1}{5}\right)^4\cdot\left(\dfrac{1}{5}\right)^2=5^{-6}\\\\ \left(\dfrac{1}{5^4}\right)\cdot\left(\dfrac{1}{5^2}\right)=5^{-6}\\\\ (5^{-4})(5^{-2})=5^{-6}\\\\5^{-4-2}=5^{-6}\\\\5^{-6}=5^{-6}[/tex]

HELP ME PLSS!!

Oliver, Lily, and Ella are hoping to save money. Oliver thinks saving money in a shoe box in his closet every month is a good idea. He decides to start with $150, and then save $75 each month. Lily was given $4000 from her Great Uncle Merv, and decides to put the money into an account that has a 7% interest rate that is compounded annually. Ella has earned $4500 working at the gas station and decides to put her money in the bank in an account that has a 7.5% interest rate that is compounded continuously.

the question is Describe the type of equation that models Ella’s situation. Create that equation of Ella’s situation. Using the equation you created, how much money will be in Ella’s account after 2 years? 10 years?

Answers

You'd first have to divide the first to, then add an divide your sume by the percent to get your answer.

Answer:

Step-by-step explanation:

Use formulaic methods. Since she has interest on her money, we have to include it:

i = log(x-4*7)^k

i is the interested amount, x is the variable we use, and k is the number of times. 7 is the interest

i = log(4000-4x7)^2 for 4000 at 7% interest over 2 years

i = log(4000-4x7)^10 for 4000 at 7% interest over 10 years

Amount after 2 years: $30,000

Amount after 10 years: $15,671

I don't know I need help.
Which of the following numbers can be expressed as repeating decimals?

3 over 7, 2 over 5, 3 over 4, 2 over 9

2 over 9 and 3 over 4
3 over 7 and 2 over 5
2 over 5 and 3 over 4
3 over 7 and 2 over 9

Answers

Answer:

2/9 = 0.2 repeating

3/7 = 0.428571 repeating

Step-by-step explanation:

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