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liubo4ka [24]
3 years ago
5

A cylinder has a radius of 2x + 3 and height of 3x + 2. Which polynomial in standard form best describes the total volume of the

cylinder? Use the formula V= πr^2h for the volume of a cylinder.
Mathematics
1 answer:
Bogdan [553]3 years ago
6 0

Answer:

v = \pi {r}^{2} h \\ v = \pi {(2x + 3)}^{2} (3x + 2) \\ v = \pi(4 {x}^{2}  + 12x + 9)(3x + 2) \\ v =( 12 {x}^{3}  + 36 {x}^{2}  + 27x + 8 {x}^{2}  + 24x + 18)\pi \\ v =( 12 {x}^{3}  + 44 {x}^{2}  + 51x + 18)\pi

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3.6 divided by 4 is 0.9 but do I have to round to the nearest tenth? Can u plz tell what I have to round to the nearest tenth
Levart [38]
Solutions 

0.9 to the nearest tenth is 0.9. To round something it has to be over 5. 
8 0
4 years ago
The sandbox is in the shape of a right rectangular prism. The area of the base of the sandbox is 124.8 square centimeters, and i
Genrish500 [490]

Answer: he will need 355.68 centimeters³ of sand to fill half of the sandbox

Step-by-step explanation:

The formula for determining the volume of a rectangular prism is expressed as

Volume = length × base × height

It can also be expressed as

Volume = base area × height

The area of the base of the sandbox is 124.8 square centimeters, and it will have a height of 5.7 centimeters. This means that the volume of the sandbox is

124.8 × 5.7 = 711.36 centimeters³

Since Mr. Berger plans to fill the sandbox half full of sand, the volume of sand he will need to fill half of the sandbox is

711.36/2 = 355.68 centimeters³

5 0
3 years ago
Thank you!!!!!!!!!!!!!!!
OverLord2011 [107]

Answer:

Binomial distribution requires all of the following to be satisfied:

1. size of experiment (N=27) is known.

2. each trial of experiment is Bernoulli trial (i.e. either fail or pass)

3. probability (p=0.14) remains constant through trials.

4. trials are independent, and random.

Binomial distribution can be used as a close approximation, with the  usual assumption that a sample of 27 in thousands of stock is representative of the population., and is given by the probability of x successes (defective).

P(x)=C(N,x)*p^x*(1-p)^(n-x)

where N=27, p=0.14, and C(N,x) is the number of combinations of x items out of N.

So we need the probability of <em>at most one defective</em>, which is

P(0)+P(1)

= C(27,0)*0.14^0*(0.86)^(27) + C(27,1)*0.14^1*(0.86^26)

=1*1*0.0170 + 27*0.14*0.0198

=0.0170+0.0749

=0.0919


4 0
3 years ago
Keith wants to make cupcakes to make cupcakes he needs 5/8 of a cup of flour per batch of cupcakes if Keith has 5 cups of flour
castortr0y [4]

Answer:

she can make 8 batches

Step-by-step explanation:

In this question , we are concerned with calculating the number of batches of cupcakes keith can make.

To make a batch, 5/8 of a cup is required.

Now she has 5 cups. The number of batches she can make will be 5/(5/8) = 5 * 8/5 = 8

4 0
4 years ago
Barry Allen's older brother is only 3 years more than triple Barry's age. If the sum of their ages is 28, find their ages
Sloan [31]
B and a
barry=b
a=older bro

a is 3 more than 3b
a=3+3b
sum is 28
a+b=28
3+3b+b=28
3+4b=28
minus 3 both sides
4b=25
divide both sides by 4
b=6.25

a=3+3b
a=3+3(6.25)
a=3+18.75
a=21.75


barry=6.25 years
21.75 years=older bro
3 0
3 years ago
Read 2 more answers
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