Does anyone know this?

The volume of the cylinder with radius r = x - 3 and height h = 2x + 7 is given by the expression V = π ( 2x³ - 5x² - 24x + 63 )

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be represented as V

Now , the radius of the cylinder r = ( x - 3 ) units

Let the height of the cylinder be h = ( 2x + 7 ) units

And , Volume of Cylinder = πr²h

On simplifying the equation , we get

Volume of Cylinder = π ( x - 3 )² ( 2x + 7 )

Volume of Cylinder = π ( x² - 6x + 9 ) ( 2x + 7 )

On further simplification , we get

Volume of Cylinder = π ( 2x³ - 5x² - 24x + 63 )

Hence , the expression for the cylinder is V = π ( 2x³ - 5x² - 24x + 63 )

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Answer:

The length is 35cm and the area is 1050cm^2

Step-by-step explanation:

The perimeter of a rectangle is all of the side lengths added together. "Breadth" is your width. So 2 x 30 + 2 x some length is your perimeter. Mathematically this can be represented as:

[tex]60+ 2x=130[/tex]

[tex]2x=70[/tex]

[tex]x=35[/tex]

For the area multiply 30 by 35

[tex]30*35=1050[/tex]

And your answer for the area is in cm^2

Answer:

- construction of a line parallel to line AB through point P

∠TPU is 75°

Step-by-step explanation:

For Plato users

The image may be the result of the construction of a line parallel to line AB through point P

∠RQS is equal to ∠TPU;therefore, ∠TPU is also 75°

Answer:

below

Step-by-step explanation:

Got it right

Answer:

yes

Step-by-step explanation:

By the converse of Pythagoras' identity.

If the longest side squared is equal to the sum of the squares of the other 2 sides, then the triangle is right.

longest side = 50.5

50.5² = 2550.25

10² + 49.5² = 100 + 2450.25 = 2550.25

Thus the given triangle is right.

Answer:

yes and no

Step-by-step explanation:

Answer:

Should be 13. Sorry if I’m incorrect!

Step-by-step explanation:

Answer:

3y^2+2y

Step-by-step explanation:

Answer:

1. e

2. d

3. b

4. c

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Answer:

15 (mark me brainliest if you want and lmk if you need more help understanding)

Step-by-step explanation:

perimeter is (l*w)*2

if a pentagon is 5 sided, you do 75/5 which is 15.

each side has 15 cm

Answer:

Step-by-step explanation:

Choice

Answer:

Can you award me brainest

9514 1404 393

Answer:

Step-by-step explanation:

1) Comparing the two equations, we see that the multiplier 'x' is missing from both sides in equation B. That is, it has been divided out:

  (5x)/x = (3x)/x   ⇒   5 = 3

Both sides have been divided by x.

__

2) The equations are equivalent if and only if x ≠ 0. Unfortunately, in equation A, the only solution is x = 0. For equations like the one in A, it is better to subtract one side from both:

  5x -3x = 3x -3x   ⇒   2x = 0

Now, dividing by 2, it is clear that the solution is x = 0.

Equations A and B are not equivalent, because the condition on the division property of equality was violated (you cannot divide by 0).

Answer:

x=11

Step-by-step explanation:

Answer:

a rate

Step-by-step explanation:

I looked it up :P

Answer:

Here's what i did

Step-by-step explanation:

The answer is h = 0.4t

A linear function is a function in the form of:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

We can use the data in the table to find the relationship between the time (t) and height (h)

Let us use the format (height, time). Hence from the table, we have the points:

(4, 10), (8, 20), (12, 30) and (16,40). Using any two points, in this case (4, 10) and (16,40), we can apply the formula:

[tex]h-h_1=\frac{h_2-h_1}{t_2-t_1} (t-t_1)\\\\h-4=\frac{16-4}{40-10} (t-10)\\\\h-4=0.4(t-10)\\\\h-4=0.4t-4\\\\h = 0.4t[/tex]

Find out more at: https://brainly.com/question/13911928

Incomplete question. The completed question reads;

The Northville School Board has proposed this budget for the upcoming school year:

20% for school staff’s salaries

50% for school maintenance and upkeep

10% to refurbish the gymnasium

5% to upgrade the computer lab hardware

10% for new instruments for the music department

5% for new sports equipment

After a brief discussion, the school board revised the budget as follows:

20% for school staff’s salaries

50% for school maintenance and upkeep

10% to refurbish the gymnasium

10% to upgrade the computer lab hardware

5% for new instruments for the music department

5% for new sports equipment

In this case, the opportunity cost for (refurbishing the gym, upgrading the computer lab, or getting new instruments.) was ( upgrading the new computer lab hardware, getting new equipment, or getting new instruments?

Answer:

getting new instrument

Explanation:

Note that the term opportunity cost refers to the value or the cost of not selecting/benefitting from the other alternative option.

Comparing both budgets, it is observable that the budget for computer lab hardware was increased by 5%; and that of musical instruments was reduced by 5% according to The Northville School Board order of preference (importance).

Thus, we can say that the board decided to forgo some of the amount spent on musical instruments, but decided to increase spending on computer hardware.

Answer:

In this case, the opportunity cost for upgrading the computer lab hardware was getting new instruments.

Step-by-step explanation:

Edmentum

Answer:

i am very sure but i think this the answer

Step-by-step explanation:

 3x • (2x - 1)

Answer:

es

Step-by-step explanation:

Answer:

A. 14,406. it runs by a -7 sequence, so D would be the 6th in the sequence.

Step-by-step explanation:

Answer:

Order summands

2

Subtract

5

.

1

5.1

5.1

from both sides of the equation

3

Simplify

4

Divide both sides of the equation by the same term

5

Simplify

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Subsitute -4 for m and 2 for p as given

( 4(2) - (-4) ) / 4

Double negatives make a positive.

( 4(2) + 4 ) / 4

Multiply inside parenthesis first

( 8 + 4 ) / 4

Add

12 / 4

3

Answer:3

Step-by-step explanation:

Subsitute -4 for m and 2 for p as given

( 4(2) - (-4) ) / 4

Double negatives make a positive.

( 4(2) + 4 ) / 4

Multiply inside parenthesis first

( 8 + 4 ) / 4

Add

12 / 4

3

Answer:

24 fluid ounces

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

(Samuel is         years old in ten years he will be 27.)

how do we find his age he is rignt now?

First: you need to find the key words.

Samuel is         years old in ten years he will be 27

secont: you find a way to do your problom.

 27 ↓

- 10  ↓

````````````

 17 ←

Answer:

It will take 6 hours to get to Houston.

Step-by-step explanation:

We have a total distance:

[tex] d_{T} = 746 mi [/tex]      

And, the distance traveled is:

[tex] d = 296 mi [/tex]

The plan is driving at a constant rate of 75 mi/h, so the time to get to Houston is:

[tex]t = \frac{x}{v}[/tex]

Where:

[tex] x = d_{T} - d = 746 mi - 296 mi = 450 mi [/tex]

[tex]t = \frac{x}{v} = \frac{450 mi}{75 mi/h} = 6 h[/tex]

Therefore, it will take 6 hours to get to Houston.

I hope it helps you!

Answer:

x is equal to 1

Step-by-step explanation:

Answer:

-2x-10=-2(x+5)

Step-by-step explanation:

Answer:

it's the third one

Step-by-step explanation:

I believe on doing homework to good luck with your work hope this helps

Answer:

It would be 79 as a whole number.

Step-by-step explanation:

78.5714857, you look at the number to the right to see if it is 5 or greater or less than 5.

If it is 5 or greater than. You would round it to 79

If not greater than 5. You round it down to 78 still.