HURRRY The volume of a cylinder is given by the formula V=pir2h where r is the radius of the cylinder and h is the height. Which
expression represents the volume of this cylinder?
h = 2x + 7
r = x - 3

Answers

Answer 1

Answer:

(2x³-5x²-24x+63)π

Step-by-step explanation:

According to the formula, it would be (x-3)²(2x+7)π. Expanding (x-3)², you would get (x-3)(x-3) which equals x²-3x-3x+9 which equals x²-6x+9. Now you have (x²-6x+9)(2x+7). Expanding it would equal 2x³+7x²-12x²-42x+18x+63. Combining like terms would result in 2x³-5x²-24x+63. You have to multiply it all by pi so the answer is (2x³-5x²-24x+63)π.


Related Questions

A line passes through the point (1,-3) and has a slope of -7. Find the equation of the line.

Answers

Answer:

y = -7x+4

Step-by-step explanation:

We can use the slope intercept form of the equation

y = mx+b where m is the slope and b is the y intercept

We know the slope

y = -7x+b

We have a point to substitute in for x and y

-3 = -7(1) +b

-3 = -7+b

Add 7 to each side

-3+7 =b

4 =b

We can substitute this back into

y = -7x+b

y = -7x+4

Answer:

y+-7x+4

Step-by-step explanation:

y-y1=m(x-x1)

y+3=-7(x-1)

y+3=-7x+7

y=-7x+4

Four less than 3 times a number is the same as the number plus 10 - in an equation

Answers

Answer:

4-3x=x+10

Step-by-step explanation:

4- (four less)

3x (3 times a number)

= (is the same as)

x (the number)

+10 (plus ten)

Please rate, thanks, mark brainliest if this helps!

Question 1
(01.01 LC)

Which of the following is a rational number? (1 point)

square root of 48, square root of 49, square root of 50, square root of 51
Group of answer choices

square root of 48

square root of 49

square root of 50

square root of 51

Answers

Answer:

49

Step-by-step explanation:

7 is rational and it's the square root of 49.

Answer:

[p

Step-by-step explanation:

Question 10(Multiple Choice Worth 5 points)

(01.01 LC)

Which of the following is a rational number?

square root of 15, square root of 16 square root of 17, square root of 18

square root of 15

square root of 16

square root of 17

square root of 18


Can someone help me and show how to write the perimeter equation to find x.
50 points. Answer part b. for full 70 points

Answers

Answer:

a) 10x + 8 = 21

b) x = 1.3

Step-by-step explanation:

The line of symmetry is a vertical line that passes through point C.

That makes sides BC and CD congruent, and sides AB and ED congruent.

perimeter = AB + BC + CD + DE + EA

perimeter = 2x + 3 + x + 1 + x + 1 + 2x + 3 + 4x = 10x + 8

perimeter = 21

a) Equation:

10x + 8 = 21

b)

10x + 8 = 21

10x = 13

x = 1.3

If a car goes around a turn too quickly, it can leave tracks that form an arc of a circle. By finding the radius of the circle, accident investigators can estimate the speed of the car. To find the radius, accident investigators choose points A and B on the tire marks. Then, the investigators find the midpoint C of AB¯¯¯¯¯¯¯¯. Use the diagram to find the radius r of the circle. Round your answer to the nearest tenth.

Answers

Answer:

155.7

Step-by-step explanation:

Use what you know.

Segment AC is 130 ft

Segment CD is 70ft

If you use the Pythagorean Theorem, in this case being  =  +

To find segment CE, you would do r-70

So,  =  +

= 16,900 +  -140r + 4900

Add the -140r to the left side and then get rid of the two . Then Add 16,900 and 4900 together

You'll end up with 140r = 21,800

Divide 140 on each side.

Your final answer will be 155.7 (rounded to the nearest tenth)

Find the measure of arc BGF

Answers

180°

Step-by-step explanation:

measure of half a circle arc is 180

From B to F is 180 degrees because BF is a diameter.  

Answer: 180 degrees

Help please uwuwuuwuwwuwuwuuwwuwuuwu

Answers

Answer:

For 23, the answer is 800
For 24, the answer is 3.06
(Sorry if I'm wrong!)

Find the missing values (4,16) and (x,24)

Answers

Answer:

(6, 24)

Step-by-step explanation:

Math question down below

Answers

Answer:

answer is E

Step-by-step explanation:

Answer:

Another way to show [tex]\frac{9}{2}[/tex] is (E. 9 ÷ 2)

Step-by-step explanation:

A. 2 x [tex]\frac{1}{9}[/tex] =  [tex]\frac{2}{9}[/tex] (incorrect)

B. 2 x [tex]\frac{9}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9 (incorrect)

C. 2 ÷ 9 = 0.22 (incorrect)

D. 9 ÷ [tex]\frac{1}{2}[/tex] = 18 (incorrect)

E. 9 ÷ 2 = 4.5 (correct)

Pythagorean Theorem: Jason only has room for a TV that is less than 30” wide.
Can he fit the TV in his room?

Answers

Answer:

No

Step-by-step explanation:

Using the Pythagorean Theorem, make 40 = c, 24 = b and the remaining side (the width) = a.

Solving for a we get a = [tex]\sqrt{c^2-b^2}[/tex]. Then plugging in the values for c and b, we get a = [tex]\sqrt{1024}[/tex] = 32

Since the width of the TV needs to be less than 30" wide, it will not fit since the width of the TV is 32" wide.

Answer:

No, the tv is 32 inches wide.

Step-by-step explanation:

[tex]a^{2} +b^{2} = c^{2} \\24^{2} +b^{2} =40^{2} \\40^{2} -24^{2} =b^{2} \\1600-576=b^{2} \\1024=b^{2} \\\sqrt{1024} =b\\b=32[/tex]

Help me with this pleaseeeee as soon as possible

Answers

Answer:

350

Step-by-step explanation:

if you add

22+35+26+17=100

well 100×10=1000

so just multiply 35 by 10= 350

3(q+ 4/3)=2 solve for q

Answers

Answer:

-2/3

Step-by-step explanation:

multiply by 3

= 3q+4=2

subtract the 4

= 3q=-2

q= -2/3

Answer:

-2/3

Step-by-step explanation:

A right-angled triangle has a hypotenuse
of length 45 cm and adjacent sides of
36 cm and 27
Calculate the perimeter and area​

Answers

Answer:

P = 108cm

A = 486 cm^2

Step-by-step explanation:

To find the perimeter add up all the side

P = 36+27+ 45 =108 cm

The area is

A = 1/2 bh

A = 1/2( 27)*36

A = 486 cm^2

PLEASE HELP, ILL GIVE BRAINLIEST.
URGENT.

Answers

Answer:

y=1/2x+0

Step-by-step explanation:

slope is 1/2

y=1/2x+b

plug in (0,0)

b=0

y=1/2x+0

Answer:

Equation: y=1/2x

Step-by-step explanation:

The equation's formula is: y=mx+b

m is slope b is y-intercept

Please mark brainliest! Hope this helps :)

-5 3/4 - 3 1/2=
plzzzzzzzzzzz help me

Answers

Answer:

-9 and 1/2

Step-by-step explanation:

just plug them in the calculator

Answer:

-2 1/4

Step-by-step explanation:

I converted these to decimals and did the equation from there.

Find the constant of variation k for the inverse variation. Then write an equation
for the inverse variation.
y=2.5 when x = 9

Answers

Answer:

k = 22.5

xy= 22.5

Step-by-step explanation:

What is the simplest form of this expression y2 (3y + 4) + 5y3

Answers

Answer:

y2 (3y + 4) + 5y3 :))

Step-by-step explanation:

please give me a good rating lol

Answer:

y2(3y+4)=5y3

Step-by-step explanation:

On a coordinate plane, triangle A B C has points (negative 3, negative 1), (negative 2, negative 3), (1, negative 1) and is reflected across y = 1. Reflect the figure over the line y = 1. Which is point A’ after the reflection? A’(–3, 1) A’(–3, 3) A’(–3, 2) A’(1, 1)

Answers

Answer:

A' = (-3, 3)

Step-by-step explanation:

If the points are as follows:

A = (-3, -1)

B = (-2, -3)

C = (1, -1)

When reflecting across a y axis the x values remain the same.

When reflecting across y = 1 the y values will remain equal distant from y = 1.

A' = (-3, 3) y value = |-1 - 1| = 2 + 1 = 3

B' = (-2, 5) y value = |-3 - 1| = 4 + 1 = 5

C' = (1, 3) y value = |-1 - 1| = 2 + 1 = 3

Answer:

A' = (-3, 3)

Step-by-step explanation:


There are 33 children in the class. 22 of the
children are girls. What fraction of the class are
girls?

Answers

Answer:

2/3 of the class are girls.

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

hope this helps

can you predict the outcome of multiplying 750 by 0.1 without calculating

Answers

Answer:

750 × 1/10  = 750/10 = 75

Step-by-step explanation:

The best way to really predict the outcome of multiplying 750 by 0.1 without calculator is firstly, converting the decimal to a fraction to easily do the multiplication in your head.

Since one of the multiplicand is a decimal the products will be much complicated therefore, to convert the decimal number 0.1 to a fraction number we shift the point to the right hand side which simply translate to 1/10.  The trick here is the number of times we shift the point will determine the number of zeros the denominator will possess.  Assuming we have 0.12 as the decimal, it is required we shift the point twice and the resulting value we become 12/100. If the decimal is 0.123 it is required we shift the point 3 times , the resulting value will be 123/1000. Not the number of times we shift the point will determine the number of zero's of the denominator.

Finally, the 2 multiplicands are now 750 and  1/10 which is more easier to manipulate in our head.  

750 × 1/10  = 750/10 = 75( you just cancel the zeros)

please help!!!!!!!!!!!!!!!!!!

Answers

Answer:

x=3

Step-by-step explanation:

set up the equation

(8x-3)=(5x+6)

then solve for x by adding 3 on both sides and subtracting 5x from both sides to get x by its self

you end up with

3x=9

divide 9 by 3 and theres your answer

x=3

I’m pretty sure it is X=3

you can choose more than 1

Answers

Answer:

A

Step-by-step explanation:

If you were to multiply the top by 7 then add you would cancel out the x and if you were to multiply the bottom by 6 then when you use the subtraction method you multiply the top by negative and if that were to happen you would do -6x + -6x which would cancel nothing out. But if you just add the two equations nothing would cancel out.

Hope this helped!

Answer:

A

Step-by-step explanation:

If you multiply the top by 7, when you add you can cancel out -7x and 7x. The second one doesn't work because it said subtract at the end. If you subtract then it won't cancel out the y's.

A number that is at most 60

Answers

Answer:

60

Step-by-step explanation:

Answer:

60>x

Step-by-step explanation:

there is the line under the greater than sign

Pleaseee help!!!!......

Answers

Answer:

D

Step-by-step explanation:

D is the correct answer!

What is the next term of the geometric sequence?
54,36, 24, _____
Can someone please explain this to me?

Answers

Answer:

16

Step-by-step explanation:

In a geometric sequence you are just multiplying basically. To go from 36 to 24, you multiply by 2/3, and the same will be with the next term. When you multiply 24 by 2/3 you get 16.

PLEASE HELP!!!

I don't understand....
If possible, please explain!

Answers

I strongly believe it’s SAS

Answer:

A. HL

Step-by-step explanation:

It cant be B because you cant do SSA

Its not C. Because there is only 1 angle

and it cant be D because the angles dont line up.

So is A. HL

Using the unit circle find the exact value. CSC -30º =​

Answers

Answer:

csc (- 30)° = - 2

Step-by-step explanation:

Using the trigonometric relationship

csc x = [tex]\frac{1}{sinx}[/tex] and the exact value sin30° = [tex]\frac{1}{2}[/tex]

sin(- 30)° = - sin30° = - [tex]\frac{1}{2}[/tex], thus

csc (- 30)° = [tex]\frac{1}{-\frac{1}{2} }[/tex] = - 2

Find the volume of a cylinder when the radius is 9 cm and the length is 20 cm

Answers

Answer:

5089.38 cm OR 1620π

Step-by-step explanation:

The formula for the volume of a cylinder is π[tex]r^{2}[/tex]h so if the radius is 9, 9 squared is 81. We multiply 81 by 20 and that gives us 1620. So in terms of pi, it is 1620π but if you just multiply it all together, it gives you 5089.38 cm. Please mark me brainliest and I hope this helped!

Based on the radius and the length of the cylinder, we can calculate that its volume is 5,091.43 cm³.

The volume of a cylinder can be calculated by the formula:

= π x radius² x height

Solving will give:

= π x 9² x 20

= π x 81 x 20

= 5,091.43 cm³

In conclusion, the volume is 5,091.43 cm³

Find out more at https://brainly.com/question/15460773.

this is the other part! please help!

Answers

Answer:

Line B

Step-by-step explanation:

Line b is the the correct answer because the line has the most dots near or on it

Yea I say it’s line b

Describe the end of behavior

Answers

the end of behavior of a function is the behavior of the graph of the function

Answer:

Step-by-step explanation:

Recognize that this is the exponential function y = e^x with some tweaks:

f(x) = 2e^x + 1, as compared to y = e^x.

y = e^x is a basic function that we all should know well.  Its graph looks much like the graph shown as "Part A."  The graph starts in Quadrant II, crosses the y-axis into Quadrant I, and then continues growing rapidly as x increases.

As x => positive infinity, y => positive infinity.  This is true of f(x) = 2e^x + 1 also.

As x => negative infinity, y => 0 (speaking of y = e^x).

As x => positive infinity, f(x) = 2e^x + 1 => positive infinity, in Quadrant I.

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