Terry is filling spherical water balloons with a faucet that puts out 100cm^3 of water per second. At that rate, it takes Terry 6 seconds to fill a balloon.

What is the radius of a filled balloon?
Round to the nearest centimeter.

Answers

Answer 1

Answer:

To the nearest centimeter

Radius= 5 cm

Step-by-step explanation:

Rate of filling balloon= 100cm³/s

Time to feel the balloon= 6 s

Volume of the filed balloon

= Rate*time

= 100*6

= 600 cm³

Volume of balloon= 4/3πr³

Volume of balloon=600cm³

600= 4/3πr³

(600*3)/4π= r³

1800/4π= r³

450/π= r³

143.239 = r³

5.232= r

To the nearest centimeter

Radius= 5 cm

Answer 2

Answer:

5

Step-by-step explanation:

Volume:

(100)(6) = 600

Radius:

[tex]\frac{4}{3}[/tex] [tex]\pi[/tex][tex](r)^{3}[/tex] x [tex]\frac{/}{/\pi}[/tex]

[tex]\sqrt[3]{143.2}[/tex] = [tex]\sqrt[3]{r^{3} }[/tex]

= 5.2 = r

round it up = 5

SO: your answer is 5

Also I did it on khan

brainliest plz?


Related Questions

graph x= -2y by plotting the intercepts.

Answers

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

slope:-1/2

y-intercept:(0, 0)

Answer:

slope: [tex]-\frac{1}{2}[/tex]

y intercept: [tex]0,0[/tex]

Step-by-step explanation:

Here is a graph.

Hope this Helps!

When Barbara started her trip, the odometer read 13,487.8. When she ended the trip, it read
14,108.6. Barbara's car gets 22 miles per gallon. Her tank was full at the beginning of the
trip. When she filled the tank, it cost her $88.04. How many gallons did Barb use, and what
price did she pay per gallon of gas on this fill-up?
HELP ASAP PLEASE

Answers

who was the 1 president

Answer:

28.2 gal

$3.12/gal

Step-by-step explanation:

Length of trip:

14,108.6 mi - 13,487.8 mi = 620.8 mi

(620.8 mi)/(22 mpg) = 28.218 gal

She used 28.2 gallons.

price per gallon = $88.04/(28.218 gal) = $3.12/gal

There are 40 nickels in a roll. If you have 150 rolls of nickels, how many nickels do you have?

Answers

You would have 6,000 nickels. Multiply 40 by 150

There are 6000 Nickels in 150 rolls of Nickle.

To find out the total number of nickels you have, you need to multiply the number of nickels in a single roll by the number of rolls.

Given that there are 40 nickels in a roll and you have 150 rolls..

So, the total number of nickels can be calculated as:

= 40 nickels/roll x 150 rolls

= 6000 nickels.

Therefore, you have 6000 nickels.

Learn more about Unitary Method here:

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What is the equivalent algebraic expression of " 5 less than four times a

number x " ?

Answers

I hope this helps and is right!

4 times a number is 4n then we want 5 less than that.

answer: 4n -5

Four out of 12 goldfish in an aquarium ate their food. What ratio represents the
goldfish that ate their food to those that did not?

Answers

Answer:

4-8

Step-by-step explanation:

Answer:

1:3

Step-by-step explanation:

I changed 4/12 to a fraction then simplified it

4/12=1/3

one gold fish ate their food for every 3 they fed

If LM=8 and MN=5 , what is LN

Answers

Answer:

23

Step-by-step explanation:

Answer:

The answer is 23

Step-by-step explanation:

Hope this answer is helpful...

Make me as brainliest...

A can do a piece of work in 20 days and B can do it in 12 days,B work for 9 days,in how many days A alone can do the work​

Answers

Answer: 9

Step-by-step explanation:

A company recently replaced its 9-oz cup of yogurt with a 7-oz cup and reduced the suggested retail price from 87 cents to 75 cents. Was the price per ounce reduced by the same percent as the size of the cup? If not, find the price difference per ounce in terms of a percent.

Answers

Answer:

Question 1

Was the price per ounce reduced by the same percent as the size of the cup? No it's not the same

Question 2

If not, find the price difference per ounce in terms of a percent.

13.8%

Step-by-step explanation:

The first yoghurt cup size = 9 oz

The second and recent yoghurt cup size = 7 oz

The difference in ounces = 9 oz - 7 oz

= 2 oz

Converting this difference to percentage

= 2 oz/ 9 oz × 100%

= 22.222222222%

The percent reduction in cup size is approximately

22.2%.

The first retail price per ounce = 87 cents

The second and recent retail price per ounce =75 cents

The difference in prices = 87 cents - 75 cents

= 12 cents

Converting this difference to percentage

= 12 cents / 87 cents × 100%

= 13.793103448%

The percent reduction in yoghurt price per ounce is approximately

13.8%.

Question 1

Was the price per ounce reduced by the same percent as the size of the cup?

From the above calculation,

Percent reduction in price per ounce =

13.8%

Percent reduction in the size of the cup = 22.2%

13.8% ≠ 22.2%

Therefore, it is not the same

Question 2

If not, find the price difference per ounce in terms of a percent.

Therefore, the price difference per ounce in terms of percent is

13.793103448%.

Approximately ≈ 13.8%

Jennifer is currently standing at 25 feet above sea level. Jim is swimming at 9 feet below sea level. How far apart are Jim and Jennifer? A. -34 b. -16 c. 16 d. 34

Answers

Answer:

D. 34 ft

Step-by-step explanation:

25+9=34

Jim is 34ft below Jenifer

evaluate the expression when p= 12 and m =15;p-m ​

Answers

so it’s fifteen minus twelve, so (15-12=3)

Which of the following lines is parallel to x = 8?

a. 3y = 16
b. x = 7
c. х = y
d y = 8​

Answers

Answer:

  d.  y = 8

Step-by-step explanation:

The given line is of the form ...

  y = constant

A parallel line must be of the same form. The matching answer is ...

  y = 8

Suppose you have a credit card debt of $4,000. Last month the bank charged you $40 interest on the debt. The solution to the equation 40= 4000/12r represents the annual interest rate (r) on the credit card. Find the annual interest rate on the credit card.

Answers

Answer:

12%

Step-by-step explanation:

As per the given formula:

40= 4000/12rr = 40*12/4000r = 0.12 0.12*100% = 12%

Interest rate is 12%

Help pls what is the answer to this 3(n+1)=5.4 Solve for n.

Answers

Answer:

N = 0.8

Step-by-step explanation:

3(n + 1) = 5.4

3n + 3 = 5.4

     - 3 = -3

3n = 2.4

3n/3 = 2.4/3

N = 0.8

I NEED HELP ASAP please ​

Answers

Answer:

A

Step-by-step explanation:

three subtracted from twice a number ? ​

Answers

2x-3 hope this helped

tristan wants to build a square garden in his backyard. if the garden is going to be 64 ft squared how many feet of material will he need for the perimeter of the garden?

Answers

Answer:

32 ft

Step-by-step explanation:

First Tristan must determine the length of one side of his square garden.  Sine A = x^2, where x is the length of one side, and since 64 ft^2 = x^2, we can find the length x by taking the square root of both sides:   8 ft = x.

Now the length of the material enclosing the garden is the perimeter, P.

For a square, P = 4x.

Therefore, in this case, P = 4(8 ft) = 32 ft

The product of two whole numbers is 504 and their sum is 45. What are the two numbers?

Answers

Answer:

21, 24

Step-by-step explanation:

1. Given:

[tex]xy=504[/tex][tex]x+y=45[/tex] [tex]y=45-x[/tex]

2. Solution:

[tex]x(45-x)=504[/tex][tex]45x-x^2=504[/tex] [tex]x^2-45x+504=0[/tex] [tex]x^2-24x-21x+504=0[/tex] [tex]x(x-24)-21(x-24)=0[/tex] [tex](x-24)(x-21)=0[/tex] [tex]x_1=24[/tex] ⇒ [tex]y_1=21[/tex] [tex]x_2=21[/tex] ⇒ [tex]y_2=24[/tex]

Help immediate... What are the like terms and to simplify fully. -7y^2-6-2-6x+x

Answers

Answer:

the fully simplified expression is: [tex]-7y^2+7x-8[/tex]

Step-by-step explanation:

The like terms are:

-6 and -2, which combined give -8

and 6 x and x, which combine give 7 x

So the simplified form of this is:

[tex]-7y^2+7x-8[/tex]


WILL GOVE BRAINIEST !!!! HELP

Answers

Answer:

1. 15

2.-54

3.-19

4.1.5

5.-5

6.63

7.1

8.-26

9.-4

10.7

11. 0

12. -4

Step-by-step explanation:

all you do is plug in the number within the parentheses to the equation as the variable x and solve from there.

If a student gets an A on a final exam, then the student will pass the course.
The student gets an A on the final exam.

Answers

Answer: PERIOD

Step-by-step explanation:

Get good grades on your assignments and the student will pass the course with an A.

Draw a figure to represent the following information: T
is between S and U, ST = 7x, SU = 45, and TU = 5x –
3.

Answers

Answer:

ST = 28 unit

TU = 17 units

Step-by-step explanation:

Given:

ST = 7x

SU = 45

TU = 5x – 3

Find:

Each value

Computation:

SU = ST + TU

45 = 7x + 5x - 3

48 = 12x

x = 4

So,

ST = 7x

ST = 7(4)

ST = 28 unit

TU = 5x – 3

TU = 5(4) – 3

TU = 17 units

if jeff had 10 cookies and sam ate 10 how many are left?

Answers

Answer:

0

Step-by-step explanation:

10-10=0

0 cookies are left because sam ate them all

How to find measurement of degree?

Answers

Answer:

It's 30 degrees. YSX and QSL are verticals so they are equal. Then QSL AND MLP are corresponding so they are too equal. So then yeah.

Answer:

30°

Step-by-step explanation:

It’s important to note the angle relationships.

We have two parallel lines intersecting one line. This means that each of the angles formed by one line will be equal to the angles formed by the other.

Using this info, we can tell that XYZ and MLP are alternate exterior angles, since they are formed by two parallel lines.

Alternate exterior angles are equal: since we know XYZ is 30°, MLP must be 30°.

Hope this helped!

The domain for variable x is the set of all integers. Select the statement that is true.
A. ∃x (3x=1)
B. ∃x (x2<1)
C. ∀x (x2=1)
D. ∃x (x2<0)

Answers

Answer:

B. ∃x (x2<1)

Step-by-step explanation:

When we take X = 0 and Placing it in each option as follow

A.

∃x (3x=1)

∃x (3(0)=1)

∃x (0=1)

Which is not true

B.

∃x (x2<1)

∃x ((0)2<1)

∃x (0<1)

Which is true

C.

∀x (x2=1)

∀x ((0)2=1)

∀x (0=1)

Which is not true

D.

∃x (x2<0)

∃x ((0)2<0)

∃x (0<0)

Which is not true.

Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point (6, -7) are Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)

Answers

Answer: [tex](6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)[/tex] are the required points.

or  (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

[tex]\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}][/tex]

Taking square on both the sides , we get

[tex](x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0[/tex]

Using quadratic formula : [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}[/tex]

so, [tex](6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)[/tex] are the required points.

since [tex]\sqrt{3}=1.732[/tex]

so, [tex](6+7(1.732),0)\text{ and }(6-7(1.732),0)[/tex] are the required points.

i.e. (18.124,0) and ( -6.124,0) are the required points.

what is the sum of 2,888 and 74​

Answers

Answer:

2962

Step-by-step explanation:

 2 8 8 8

+       7 4

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

  2 9 6 2

Answer:

2962

Step-by-step explanation:

2888 +

    74

---------

2962

8 + 4 = 12

8 + 1 + 7 = 16

8 + 1 = 9

The average hourly wage of computer programmers with 2 years of experience has been $21.80.Because of high demand for computer programmers,it is believed there has been a significant increase in the average wage of computer programmers.To test whether or not there has been an increase,the correct hypotheses to be tested area. H0: μ < 21.80 Ha: μ >= 21.80b. H0: μ = 21.80 Ha: μ ≠ 21.80c. H0: μ > 21.80 Ha: μ =< 21.80d. H0: μ <= 21.80 Ha: μ > 21.80

Answers

Answer:

d. H0: μ <= 21.80 Ha: μ > 21.80

Step-by-step explanation:

We set the null hypothesis as what is already given . We are already informed that the average wage is equal to  μ <= 21.80 against the claim that is required. It is required to test whether the average wage of the computer programmers is greater than μ > 21.80

So option d is the best answer.

Hypotheses testing is done  using an observation and a claim. The observation is set as a null hypothesis and claim is set as an alternative hypothesis. The null and alternative hypotheses must be chosen wisely to get the correct results.

The critical region is dependent on the claim set.

Two number are
from point A on a number line if the distance from
point A to each of the two numbers is the same.
opposite
similar
away
equidistant

Answers

Do you still need this

Match the following items by evaluating the expression for x = -6. x^-2 x^-1 x^0 x^1 x^2

Answers

Answer:

see below

Step-by-step explanation:

x = -6  ⇒

x^-2  = (-6)^-2 = 1/36x^-1  = (-6)^-1 = -1/6x^0  = (-6)^0 = 1x^1  = (-6)^1 = -6x^2 = (-6)^2 = 36

Answer:

x =  - 6

Step-by-step explanation:

x = -6x⁻² x⁻¹ x⁰ x¹ x²

x² = 0,  x = 0

x¹  = 0, x = 0

the following points are undefined

x = 0

combine undefined points with solutions:

x = - 6

Open the line reflection application. The right line is a reflection across the y-axis of the left line. Click the reflect over y-axis button. Are these lines the same? What does this mean about how a line changes when you reflect it?

Answers

Answer:

The lines are the same, they are just in a different position.

Step-by-step explanation:

A reflection is a type of rigid transformation. Rigid transformations do not change the size nor the length of the pre-image.

In other words, the pre-image and the image in a rigid transformation are congruent.

Hope this helps.  

Based on the fact that the right line is a reflection across the y-axis, the lines are the same, they are just in a different position.

What is a Reflection?

This refers to the rigid transformation type that is used to represent an image and does not change its size or length of it.

With this understanding, we can see that the pre-image and the image in a rigid transformation are congruent which makes the lines to be the same, even if they are in a different position.

Read more about line reflection here:

https://brainly.com/question/22342234

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