1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
goblinko [34]
3 years ago
5

The volume of a cylinder is given by the formula v=pi r^2h, where r is the radius of the cylinder and h is the height. Which exp

ression represents the volume of this cylinder? h=2x+7, r=x-3.
Mathematics
1 answer:
KatRina [158]3 years ago
7 0
Substituting for r and h:-

volume = pi (x - 3)^2 *  (2x + 7)

=   pi* (2x + 7)(x^2 - 6x + 9)
= pi *  (2x^3 - 12x^2 + 18x + 7x^2 - 42x + 63)
= (2x^3 - 5x^2 - 24x + 63) pi  answer
You might be interested in
Based on the data set shown, which of the following is a true statement? -1, -1, 0, 1, 1, 1, 1, 2, 2, 2, 3
Kaylis [27]
The mode of this data set shown would be 1 since it occurs the most often. The answer is that the mode of this set would be (1) since it shows up the most.
3 0
3 years ago
Two gears in a machine are aligned by a mark drawn from the center of one gear to the center of the other. If the first gear has
Aleksandr [31]

Answer:

5

Step-by-step explanation:

for the first gear

revolutions/teeth

1 / 24

2 / 48

3 / 72

4 / 96

5 / 120

6 / 144

for the second gear

revolutions/teeth

1 / 40

2 / 80

3 / 120

4 / 160

<em>the two marks will meet after 120 teeth, 5 revolutions of the first gear and 3 revolutions of the second.</em>

the way to get that amount of teeth is

24 = 2 \times 2 \times 2 \times 3 =  {2}^{3}  \times 3

40 = 2 \times 2 \times 2 \times 5 =   {2}^{3}  \times 5

the Least Common Multiple equals the product of all factors, but those factors who are repeted for both numbers should be only once.

{2}^{3} \times 5 \times 3 = 120

120 teeth are 5 revolutions for gear1 and 3 por gear2

8 0
3 years ago
Draw at least six different sized rectangles that have an area of 64 square units
olga_2 [115]

Let

x------> the length of the rectangle

y------> the width of the rectangle

we know that

The area of a rectangle is equal to

A=x*y

A=64\ units^{2}

so

x*y=64 --------> equation 1

let's assume different values of x to get the different values of y

<u>case 1)</u> For x=64 units

substitute in the equation 1

x*y=64

y=64/x

y=64/64

y=1\ units      

the dimensions of the rectangle are 64 units x 1 unit

see the draw in the attached figure N 1

<u>case 2)</u> For x=32 units

substitute in the equation 1

x*y=64

y=64/x

y=64/32

y=2\ units

the dimensions of the rectangle are 32 units x 2 units

see the draw in the attached figure N 2

<u>case 3)</u> For x=16 units  

substitute in the equation 1

x*y=64

y=64/x

y=64/16

y=4\ units

the dimensions of the rectangle are 16 units x 4 units

see the draw in the attached figure N 3

<u>case 4)</u> For x=30 units

substitute in the equation 1

x*y=64      

y=64/x

y=64/30

y=\frac{32}{15} =2\frac{2}{15} \ units

the dimensions of the rectangle are 30 units x 2 (2/15) units

see the draw in the attached figure N 4

<u>case 5)</u> For x=40 units

substitute in the equation 1

x*y=64    

y=64/x

y=64/40

y=1.60\ units

the dimensions of the rectangle are 40 units x 1.60 units

see the draw in the attached figure N 5

<u>case 6)</u> For x=60 units

substitute in the equation 1

x*y=64    

y=64/x

y=64/60

y=\frac{16}{15} =1\frac{1}{15} \ units

the dimensions of the rectangle are 60 units x 1 (1/15) units

see the draw in the attached figure N 6

3 0
3 years ago
Classify What type of number is 1.00 repeating
sveticcg [70]

Answer:

  rational, integer, whole, natural, real

Step-by-step explanation:

Trailing zeros after the decimal point do not change the value of a number. This number is 1, a rational, real, integer, whole, natural number.

7 0
3 years ago
NEED HELP ASAP
Anika [276]

Answer:

Y=4x+9

Step-by-step explanation:

Use rise over run to find 2 points for the slope. B is as simple as looking where the line passes y.

6 0
3 years ago
Read 2 more answers
Other questions:
  • A tank has a length of 2 feet and a width of 1 foot and us filled to the water depth of 8 inches a stone is places Into the wate
    14·1 answer
  • Explain how you can write an equation for a line with slope 1/2 that crosses the y-axis at the point (0,-1).
    14·1 answer
  • What is the formula to find the area of a rectangle.
    7·1 answer
  • PLEASE HELP!!! How many solutions does the system have?
    5·1 answer
  • 1. Find the area of a triangle (PLEASE ONLY in CM²) 2. Seven squared equals seven times .........
    9·2 answers
  • What is n-4-9<br>(simply each expression)<br>:)​
    13·2 answers
  • SOMEONE DO 7,8, AND 9. ILL GIVE BRAINLIEST
    8·2 answers
  • I NEED HELP AP STATS THANK YOU!!
    15·1 answer
  • 6.-2 &lt; 2x - 4&lt;4 (1 point)<br> Please tell me the answer
    14·1 answer
  • Which graph shows a system of equations with a solution at (2, -1)?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!