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4 years ago

What is the equation of the line that is parallel to the line y - 1 = 4(x + 3) and passes through the point (4, 32)?

Mathematics

1 answer:

Gnesinka [82]4 years ago

8 0

Answer:

4x +16 the slope is 4 because its parallel to the other equation

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The radius of a right circular cylinder is increasing at a rate of 9 inches per minute and the height is decreasing at a rate of

pav-90 [236]

Answer:

$\frac{dA}{dt}=1840.97 in^{2}/min$

Step-by-step explanation:

The equation of the surface of the right circular cylinder is:

$A=2\pi rh+2\pi r^{2}=2\pi(rh+r^{2})$

Now, the rate change of this area will be:

Using the change rule

$\frac{dA}{dt}=\frac{\partial A}{\partial r}\frac{\partial r}{\partial t}+\frac{\partial A}{\partial h}\frac{\partial h}{\partial t}$

Where:

$\frac{\partial h}{\partial t}$ is the rate change of height (-16 in/min)
$\frac{\partial r}{\partial t}$ is the rate change of radius (9 in/min)

$\frac{dA}{dt}=\frac{\partial A}{\partial r}9+\frac{\partial A}{\partial h}(-16)$

$\frac{dA}{dt}=2\pi(h+2r)9-2\pi r16=2\pi((h+2r)9-16r)$

Now, r = 16 and h = 29

$\frac{dA}{dt}=2\pi((29+2*16)9-16*16)$

$\frac{dA}{dt}=1840.97 in^{2}/min$

I hope it helps you!

8 0

4 years ago

Everyone friend me Plz! Why not?<br> Btw What is 3{(x-5)+4}-8=31?

Lesechka [4]

Think about it think 6x5 or higher then you will get you answer by doing that

6 0

3 years ago

PLEASE PLEASE PLEASE HELP!!! I NEED MY GRADE TO BE UP BY BEFORE TOMORROW THESE ARE ALL THE POINTS I HAVE! 35 POINTS!!! Match the

hodyreva [135]

Answer:

1. A arithmetic sequence that starts at 1 and has a common difference of 3

(d) 1, 4, 7, 10, 13, ...

2. A geometric sequence that starts at 1 and has a common ratio of 3

(h) 1, 3, 9, 27, 81, ...

3. 15, 19, 23, 27, 31, ...

(b) arithmetic sequence; common difference of 4

4. 3, 27/3, 27, 243/3, 243, ...

5. -2, 16/4, -8, 16, -32, ...

(a) geometric sequence; common ratio of -2

6. 8, 40, 200, 1000, 5000, ...

(i) geometric sequence; common ratio of 5

7. 1432, 143.2, 14.32, 1.432, ...

(f) geometric sequence; common ratio of 0.1

8 0

4 years ago

Read 2 more answers

State all the prime factors of 21

dimaraw [331]

Answer: 21 is a composite number.

Step-by-step explanation:21 = 1 x 21 or 3 x 7. Factors of 21: 1, 3, 7, 21. Prime factorization: 21 = 3 x 7.

5 0

3 years ago

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Solve the system of linear equations 2x + 3y =16.9<br> 5x =y + 7.4

andrew11 [14]

Answer:

y = 23.4

Step-by-step explanation:

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3 years ago