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AnnZ [28]
3 years ago
6

Solve each system by graphing or using a table. Check your answers.

Mathematics
1 answer:
elena55 [62]3 years ago
8 0

Answer: there is no solution

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A spherical balloon is inflated with gas at the rate of 500 cubic centimeters per minute. How fast is the radius of the balloon
zmey [24]

Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere of radius r is given by:

V = \frac{4\pi r^3}{3}

Applying implicit differentiation, the rate of change is given by:

\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}

In this problem, we have that:

\frac{dV}{dt} = 500, r = 70

Hence the rate of change of the radius is given as follows:

\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}

19600\pi\frac{dr}{dt} = 500

\frac{dr}{dt} = \frac{500}{19600\pi}

\frac{dr}{dt} = 0.0081

The radius is increasing at a rate of 0.0081 cm per minute.

More can be learned about implicit differentiation at brainly.com/question/25608353

#SPJ1

4 0
2 years ago
Shawn downloads movies at a base price of $2 per movie. If he downloads 5 movies, he will get a 25% discount. How much money wil
horrorfan [7]

Answer: He will spend $7.50 & save $2.50

Step-by-step explanation: So if shawn downloads 5 movies at $2 a piece, that makes 10 dollars worth of movies, but it he gets a 25% discount that means he spends $2.50 less than $10 which is $7.50.


4 0
3 years ago
Read 2 more answers
I need a normal answer not a equation
Sloan [31]

Answer:

PQ = 3.2

Step-by-step explanation:

You must use the addition property of equality, and subtract 16 from the of the 5x, and add it to the other side.

After that, you have 5x = 16

You then divide both sides by 5.

5x/5 = 1x = x

16/5 = 3.2

x = 3.2

Therefore, the side 'PQ' is equal to 3.2

Brainliest appreciated!

4 0
3 years ago
Point Tis on line segment SU. Given TU = 4x + 1, SU = 8, and ST = 3x,
Harrizon [31]

Answer:

5 units

Step-by-step explanation:

If point T is on the line segment SU, then ST + TU = SU.

Given

TU = 4x + 1

SU = 8

ST =  3x

To get TU, we need to get the value of x first. To get x, we will substitute the given parameters into the formula;

3x+4x+1 = 8

7x+1 = 8

subtract 1 from both sides

7x+1-1 = 8-1

7x = 7

divide both sides by 7

7x/7 = 7/7

x = 1

Substitute x = 1 into the length TU

Since TU = 4x+1

TU = 4(1)+1

TU = 5

Hence the numerical length of TU is 5 units

4 0
3 years ago
Danielle pays a monthly charge of $69 for her cable bill. She also pays a fee every time she watches a movie on demand. Last mon
raketka [301]

Answer:

5

Step-by-step explanation:

First, take away the monthy charge of 69$ just to have cable from 104$, then you will want to see that there is still a mysterious 35$ left from the bill after cable was removed. That 35$ is to be divided amoungst the 7 movies on demand that Danielle watched , leading you to get 5$ per movie on demand as your answer.

3 0
4 years ago
Read 2 more answers
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