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3 years ago

If f(x) = x2 – 3 and g(x) = 4x +3, then f(g(2)) =

Mathematics

1 answer:

WARRIOR [948]3 years ago

8 0

Answer:

4*+1

Step-by-step explanation:

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Approximate the change in the volume of a sphere when its radius changes from r= 5ft to r= 5.1ft (v(r)= 3/4 pi r^3)?

leva [86]

Answer:

18.03 cubic feet

Step-by-step explanation:

Hello,

Step 1

find the volume of the sphere when radius= 5 ft

$v(r)= \frac{3}{4} \pi r^3\\v(5)= \frac{3}{4}\pi (5\ ft)^3\\v(5)= \frac{3}{4}\pi *125\ ft^{3} \\v(5)=294.52\ cubic\ feet\\$

Step 2

find the volume of the sphere when radius= 5.1 ft

$v(r)= \frac{3}{4}\pi r^3\\v(5.1)= \frac{3}{4} \pi (5.1\ ft)^3\\v(5.1)= \frac{3}{4}\pi *132.651\ ft^{3} \\v(5.1)=312.551\ cubic\ feet\\\\$

Step 3

Compare the Volumes to find the change

$\frac{v(r_{2})}{v(r_{1})} =\frac{312.551}{294.52} =1.06$

the volumen of the sphere with radius = 5.1 is 1.06 times bigger than the first one(r=5)

Now, find the change

$change= {v(r_{2})-{v(r_{1})}} \\change=312.551\ cubic\ feet\ -294.52 cubic feet \\ change=18.031\ cubic\ feet$

change=18.03 cubic feet

Have a great day.

4 0

2 years ago

-10 + square root of 2x+1 = -5

Citrus2011 [14]

Answer:

Step-by-step explanation:

-10+sqrt2x+1 = -5

sqrt2x+1 = -5+10

sqrt2x+1 = 5

2x+1 = sqrt5

2x = sqrt5-1

x = (sqrt5-1)/2

5 0

3 years ago

Is 160 greater or less than 2 1/2

stich3 [128]

Answer:

greater than

Step-by-step explanation:

On a number line 160 is further to the right than 2 1/2

8 0

3 years ago

Each cylinder is 12 cm high with a diameter of 8 cm.

ludmilkaskok [199]

Answer:

<h2>Volume = 576cm^3</h2>

Step-by-step explanation:

$h = 12 cm\\d = 8cm\\r =d/2 = 8/2 =4\\V = ?\\V =\pi r^2h\\\\V= 3 \times 4^2\times12\\V = 576 cm^3$

6 0

3 years ago

K and m are prime numbers .

PolarNik [594]

Answer:

I think k = 2 and m = 19

and I also think in order to mention the steps there must be another clue or equation

4 0

3 years ago