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3 years ago

A cylinder has a radius of 4x + 3 and a height of 3x + 6. Which polynomial in standard form best

Mathematics

1 answer:

MrRa [10]3 years ago

8 0

Answer:

Step-by-step explanation:

R=4x+3

H=3x+6

Volume of a cylinder= Πr²h

inserting the parameters

v=π(4x+3)²(3x+6)

v=π(16x²+24x+9)(3x+6)

V=π[3x(16x²+24x+9) +6(16x²+24x+9)]

v=Π(48x³+72x²+27x+96x²+144x+54)

v=π(48x³+168x²+171x+54)m³

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What sequence is modeled by the graph below?

Lady bird [3.3K]

ANSWER

$a_n= \frac{1}{2}( {2}^{n - 1} )$

EXPLANATION

The corresponding ordered pairs from the graph are:

(2,1) (3,2) (4,4) (5,8)

The y-values are:

1,2,4,8

The first term term is the term before 1,this has to be.

$a_1= \frac{1}{2}$

The common ratio is

$r = \frac{2}{1} = 2$

The nth term is given by

$a_n=a_1 {(r}^{n - 1} )$

Let's substitute the values to get,

$a_n= \frac{1}{2} \times {(2}^{n - 1} )$

This simplifies to,

$a_n= \frac{1}{2} {(2}^{n - 1} )$

3 0

3 years ago

Rita bought 4 rulers for $4.00. If r represents the number of rulers purchased, which equation represents this situation?

Wittaler [7]

Answer: 4r = 4

Step-by-step explanation:

Ruth bought 4 rulers and each ruler is to be represented by r. She therefore bought:

= 4r

She bought these for a total of $4.00 so the equation then becomes:

4r = 4.00

Equation representing situation is: 4r = 4

8 0

2 years ago

What is the equation in point-slope form of the line passing through (−2, 0) and (2, 8)? (1 point) y = 2(x + 2) y = 2(x − 2) y =

Sonja [21]

Answer: $y=2(x+2)$

Step-by-step explanation:

The slope of the line is

$y=\frac{8-0}{2-(-2)}=\frac{8}{4}=2$

Using the point (-2, 0) to substitute into point-slope form, we get the equation to be $\boxed{y=2(x+2)}$

8 0

1 year ago

Jay needs 19 quarts more paint for the outside of his barn than for the inside. If he uses 107 quarts in all, how many gallons o

love history [14]

Let's use q to represent the number of quarts needed.

you would have the following:

2q= 107-19
2q=88
q=44
44 is the number of quarts in a in the barn.
Now you have to divide that number by 4 to get gallons because there is 4 quarts in a gallon.
There are 11 gallons of paint.

6 0

3 years ago

Find the area of the circle. Use 3.14 for pi. 106yd

VikaD [51]

Answer:

where is the diagram or the explanation of the circle?

4 0

3 years ago