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Misha Larkins [42]
3 years ago
14

A solid is composed of a cylinder with a radius of 9" and height of 20" and a hemisphere, as shown. Find the volume of this soli

d.
Mathematics
2 answers:
Dvinal [7]3 years ago
5 0
<span>5089.38 hope this helps

</span>
pav-90 [236]3 years ago
3 0
The formula for finding the volume of a cylinder is V=P*r^2*h. The formula for a sphere is V=4/3*P*r. The volume of the solid is approximately 2714.34, from my calculations.
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Find (f-g)(x) if f(x)=3x-5 and g(x)=x2-5x+4
solmaris [256]

Answer:

Step-by-step explanation:

Hello,

(f-g)(x)=f(x)-g(x)=3x-5-(x^2-5x+4)\\\\=3x-5-x^2+5x-4\\\\=-x^2+8x-9

Thanks

4 0
3 years ago
One root of f(x) = x + 10x2 – 25x – 250 is x = -10. What are all the roots of the function? Use the Remainder Theorem.
Natalka [10]

Answer:

-10

-5

5

Step-by-step explanation:

From the answers given, you probably mean f(x) = x^3 + 10x2 – 25x – 250

The Remainder Theorem is going to take a bit to solve.

You have to try the factors of 250. One way to make your life a lot easier is to graph the equation. That will give you the roots.

The graph appears below. Since the y intercept is -250 the graph goes down quite a bit and if you show the y intercept then it will not be easy to see the roots.

However just to get the roots, the graph shows that

x = -10

x = - 5

x = 5

The last answer is the right one. To use the remainder theorem, you could show none of the answers will give 0s except the last one. For example, the second one will give

f((10) = 10^3 + 10*10^2 - 25*10 - 250

f(10) = 1000 + 1000 - 250 - 250

f(10) = 2000 - 500

f(10) = 1500 which is  not 0.

==================

f(1) = (1)^3 + 10*(1)^2 - 25(1) - 250

f(1) = 1 + 10 - 25 - 250

f(1) = -264 which again is not zero

3 0
3 years ago
Read 2 more answers
Colleen recorded the type of trees in the woods near her house. She counted 20 spruce trees and 50 maple trees. What is the expe
tankabanditka [31]

Answer:

The answer is A \frac{2}{7}

Step-by-step explanation:

3 0
3 years ago
Evaluate the expression: 5 + (1 + 1)3 × 2.
Free_Kalibri [48]

5 + (1 + 1)3 × 2

5 + (2) 3 x 2

5 + 6 x 2

5 + 12

17

5 0
2 years ago
Read 2 more answers
Can someone please help me answer this question, i know it seems a little bit basic but I still need some help
maria [59]
Hi,

Rectangular prism or Cuboid has a volume that can be calculated by multiplying it's dimensions.

v = l \times w \times h
In your case...

v = 5 \times 3 \times 4  =  {60}^{3}
Answer = 60m3

Hope this helps.
r3t40
4 0
3 years ago
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