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mart [117]
3 years ago
7

What is the rate of change for the equation f(x)=-4x+3?

Mathematics
1 answer:
Alenkinab [10]3 years ago
8 0
-4 is the rate of change otherwise known as the slope
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The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing when the diameter is 60 mm
mina [271]

Answer:

The volume is increasing at a rate of 33929.3 cubic millimeters per second.

Step-by-step explanation:

Volume of a sphere:

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

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

In this question:

We have to derivate V and r implicitly in function of time, so:

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

The radius of a sphere is increasing at a rate of 3 mm/s.

This means that \frac{dr}{dt} = 3

How fast is the volume increasing when the diameter is 60 mm?

Radius is half the diameter, so r = 30. We have to find \frac{dV}{dt}. So

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

\frac{dV}{dt} = 4\pi (30)^2(3) = 33929.3

The volume is increasing at a rate of 33929.3 cubic millimeters per second.

5 0
3 years ago
3). What is the area of a rectangular window measuring 36 inches across 25 points
irina1246 [14]

To find the area of a rectangle, just multiply the dimensions.

36

x60

00

360

1800

2160

The area of the rectangle is 2,160 in sq

---

hope it helps

6 0
3 years ago
Answer choices
Nadya [2.5K]
8 is the answererrr :))))))
3 0
3 years ago
Read 2 more answers
Write the following using index notation
olasank [31]

Answer:

a=2^2

b=3^5

c=4^3x5^2

d=7^2x9^4

Step-by-step explanation:

All you have to do is write the number that is already there and power it by number of times it is repeated.

If there are two different numbers in a question (like c and d) you should start with the smaller number and then follow with the larger on with a x/times symbol between them.

5 0
3 years ago
Read 2 more answers
Without using a calculator, what is 30% of 546? (You can round up to avoid decimal points)
madreJ [45]

Answer:

Hey there!

We can solve this by multiplying 0.3 by 546, which is about 164.

Hope this helps :)

5 0
3 years ago
Read 2 more answers
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