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Aliun [14]
3 years ago
14

Find the volume of a cylinder either enter an exact number in the terms of pi areU3.14 for pie 5 and 2

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
3 0

Answer:

V=384\pi \ \text{unit}^3

Step-by-step explanation:

The attached figure shows a cylinder of radius 8 units and height 6 units. We need to find the volume of the cylinder. The formula is as follows :

V=\pi r^2h\\\\V=\pi (8)^2\times 6\\\\V=384\pi

So, the required volume of the cylinder is 384\pi \ \text{unit}^3.

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ILL MARK BRAINILEST !! 80 POINTS
mixas84 [53]

\\ \rm\rightarrowtail y=x^2-10x+16

\\ \rm\rightarrowtail y=x^2-10x+16+9-9

\\ \rm\rightarrowtail y=x^2-10x+25-9

\\ \rm\rightarrowtail y=(x-5)^2-9

Vertex form

  • y=a(x-h)^2+k

So

vertex:-

  • (h,k)=(5,-9)
6 0
2 years ago
What is the solution of the equation (x-5)^2+3(x-5)+9=0 use u substitution and the quadratic formula to solve
Schach [20]

Answer:

fff

Step-by-step explanation:

ff

3 0
3 years ago
Arielle wants to make a circular garden. She has enough fencing for a garden circumference of 15 feet. There is a 7-foot gap bet
lesantik [10]

Answer:

yes

Step-by-step explanation:

We need to check if the circle with a circumference of 15 feet is smaller then 7 feet. If so it possible.

Formule for circular circumference = pi * diameter, which should be 15.

So pi * d =15

There fore d = 15/pi

d = 4.77464829275686 feet, which is smaller then 7 feet, so it will fit easilly.

3 0
3 years ago
4. Alejandro Juarez is paid $829 every two weeks. a. What is Alejandro's yearly salary?
Natalka [10]

Answer:

1.  21,554 PER YEAR

2. 1658 PER MONTH

Step-by-step explanation:

a.  

so there are approximately 52 weeks per year

and alejandro juarez gets 829$ per 2 weeks

1..............LETS FIGURE OUT HOW MUCH HE EARNS PER WEEK

SO 829/2=414.5

so he gets 414.5 $ PER WEEK

2............LETS MULTIPLY THE AMOUNT OF MONEY PER WEEK BY THE WEEKS

SO 414.5*52=21554

SO ALEJANDRO JUAREZ EARNS 21,554$ PER YEAR

B.

SO WE ALREDY KNOWS ALEJANDRO EARNS 414.5$ PER WEEK

AND THERE ARE APPROXIMATELY 4 WEEKS IN A MONTH

SO 414.5*4=1658

SO HE EARNS 1658$ PER MONTH

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

       ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                      PEACE!

8 0
3 years ago
Cost, Revenue, Profit
Anika [276]

Answer:

1. C(n) = 2.25n + 120

2. R(n) = 3.51n

3. P(n) = 1.26n - 120

1. 96 frozen bananas must be sold in order to make a positive profit.

2. In order to make a profit, I have to sell a minimum of <u>96 frozen bananas</u>.

Step-by-step explanation:

1. Write a function, C(n), to represent your total costs for the week if you sell n frozen bananas.

Total cost is the addition of total variable cost and total fixed cost. Therefore, the function is as follows:

C(n) = 2.25n + 120

Where 2.25n is the total variable cost while 120 is the total fixed cost.

2. Write a function, R(n), to represent the revenue from the sale of n frozen bananas during the week.

Revenue is equal to selling price per unit multiplied by the number of units sold. Therefore, the function is as follows:

R(n) = 3.51 * n

R(n) = 3.51n

Where 3.51 is the selling price per unit while n the number of units sold.

3. Write a function, P(n), that represents the profits for selling n frozen bananas in a given week.

Profit is equal to total revenue minus total cost. Therefore, the function can be derived as follows:

P(n) = R(n) - C(n)

P(n) = 3.51n - 2.25n + 120

P(n) = 1.26n - 120

1. How many frozen bananas must you sell in order to make a positive profit? Write your answer as a whole number.

This can be obtained by equating the profit function to zero and solve for n as follows:

P(n) = 0 => 1.26n - 120 = 0

Therefore, we have:

1.26n = 120

n = 120 / 1.26

n = 95.2380952380952 frozen bananas

Writing it as a whole number, we have:

n = 95 frozen bananas

However, using this whole number will result in a negative profit by substituting it into the profit function as follows:

P(n) = (1.26 * 95) - 120 = -$0.30

Therefore, n has to be increased by one to 96 which is also a whole number to have a positive profit as follows:

P(n) = (1.26 * 96) - 120 = $0.96

Therefore, 96 frozen bananas must be sold in order to make a positive profit.

2. Complete the following sentence to explain the meaning of #1:

In order to make a profit, I have to sell a minimum of <u>96 frozen bananas</u>.

7 0
3 years ago
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