the city of Picayune has set aside $900,000 to build a new water tower in the shape of a cylinder. If the price per cubic foot is $10.50, what is the largest measure for the radius and height of the cylinder in order to not exceed the budget?

The City Of Picayune Has Set Aside $900,000 To Build A New Water Tower In The Shape Of A Cylinder. If

Answers

Answer 1

Answer:

So as not to exceed the budget, where π = 22/7, we have;

The radius = 10 ft and the height = 3/11 ft

For standard 40 ft. height, the radius is approximately 0.8259 ft

Step-by-step explanation:

The amount set aside for the water tower = $900,000

The price (amount) per cubic foot = $10.50

Therefore, we have;

[tex]The \ volume \ of \ the \ water \ tower \ to \ be \ built = \dfrac{The \ amount \ set aside \ for \ the \ water \ tower}{The \ price \ (amount) \ per \ cubic \ foot }[/tex]

[tex]\therefore The \ volume \ of \ the \ water \ tower \ to \ be \ built = \dfrac{\$ 900,000}{\$10.50/ft\\ ^3} = \dfrac{600}{7} ft.^3 = 85 \frac{5}{7} ft^3[/tex]

Whereby the height of a standard water tower = 40 ft., we have;

The shape of the water tower = The shape of the water tower

∴ The volume of the water tower V = π × r² × h

Where;

r = The radius of the water tower

h = The height of the water tower

Taking π = 22/7

600/7  = 22/7 × r² × h

r² × h = 600/7/(22/7)  ≈ 300/11 = 100 × 3/11

Solving to get exact dimensions so as to not exceed the budget, we have;

r² × h = 100 × 3/11 = 10 × 10 × 3/11

Therefore, the radius can be 10 ft. and the height = 3/11 ft.

Or for standard 40 ft. height, we have;

r² = 600/7/(π × 40)

r ≈ 0.8259 ft.


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Caesar has $180 in his bank account. He needs a total of $2,000 to purchase his uncle's car. He earns $60 per day and says $50 of that amount each day. Which equation can be used to determine the number of days, D, he needs to work to reach his goal of $2,000?​

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Step-by-step explanation:

If this isnt the answer pls forgive me, and if you can pls gimme brainliest

1
Which point on the number line represents 3?
-1
В
0
о
ООО

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Answer: C

A is -1 and 1/3

B is -2/3

C is -1/3

D is 1/3

so it’s C

Answer is c


Hope this helps

Will mark Brianliest answer correctly !!!!!!!!!! Pleaseeee helpppp !!!!!!!!!!!!!!!!!

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it would be 2 Square root 10
2 is the square root of 10

Which ordered pair represents y as a function of x?

A. {(−2, 0), (−1, 0), (−1, 1), (0, 2)}
A. {(−2, 0), (−1, 0), (−1, 1), (0, 2)}

B. {(0, 1), (1, 3), (2, 5), (3, 7)}
B. {(0, 1), (1, 3), (2, 5), (3, 7)}

C. {(−1, 4), (−1, 6), (0, 4), (1, 8)}
C. {(−1, 4), (−1, 6), (0, 4), (1, 8)}

D. {(9, 5), (9, −5), (11, 7), (11, −7)}

Answers

Answer:

B

Step-by-step explanation:

Here, we want to select an option that represents y as a function of x

We simply want to select an option which is a function

Now, the answer in this case is one in which there are no repeating values of x and y

What this means is that all x values and all y values exactly have a single relationship between each of them

No y values has two x values and no x values links to 2 y-values

With this in mind, the correct answer is ;

option B

The volume of a gas in a container varies inversely as the pressure on the gas. If a gas has a volume of 129 cubic inches under a pressure of 3 pounds per square inch,
what will be its volume if the pressure is increased to 5 pounds per square inch? Round your answer to the nearest integer if necessary

Answers

Answer:

the volume is 77 in³

One of the Great Pyramids in Egypt has the shape of a square pyramid with the base length of 20 feet, and the height of 150 feet tall. If the stones that were used to build the pyramid had a volume of 40 cubic feet each, how many stones did the Egyptians need to build the pyramid?

Answers

Answer:

500

Step-by-step explanation:

Given that:

Shape of one of the Great Pyramids in Egypt is a square pyramid.

Base of pyramid is of square shape with length = 20 feet

Height of pyramid = 150 feet

Volume of each stone used for the construction of the pyramid = 40 cubic feet

To find:

Number of stones used for the construction of the pyramid.

Solution:

First, we need to find the volume of the square pyramid and then we need to divide the volume of pyramid with the volume of one stone used for the construction.

It will give us the number of stones used for the construction of pyramid.

Volume of a pyramid is given as:

[tex]V = \dfrac{1}{3}\times \text{Area of base}\times Height[/tex]

Here, base is a square, so area of base = [tex](Side)^2[/tex]

[tex]V = \dfrac{1}{3}\times 20^2\times 150 = 400\times 50 ft^3[/tex]

Number of stones of 40 cubic feet each, required = [tex]\frac{400\times 50}{40}[/tex] = 500

help please!! Arithmetic Sequences
4,4.1,4.2,4.3,4.4
Common Difference: d=
what is the common difference?

Answers

Answer:

0.1 is the answer...............

The common difference [tex](d)[/tex] of  Arithmetic Sequences  [tex]4,4.1,4.2,4.3,4.4[/tex]  is [tex]0.1[/tex] .

What is Arithmetic Sequence ?

Arithmetic Sequence is also known as arithmetic progression and is a sequence of numbers in which the difference between the consecutive terms is constant.

What is common difference ?

Common difference is the difference between two consecutive terms of an arithmetic progression.

We have arithmetic progression,

[tex]4,4.1,4.2,4.3,4.4[/tex]  

Here,

[tex]a_{1} =4[/tex]

[tex]a_{2} =4.1[/tex]

[tex]a_{3} =4.2[/tex]

[tex]a_{4} =4.3[/tex]

[tex]a_{5} =4.4[/tex]

And,

Common Difference [tex](d)[/tex] [tex]=a_{2} -a_{1} =a_{3} -a_{2} =a_{4}-a_{3}[/tex]

So,

Common Difference [tex](d)[/tex] [tex]= 4.1-4[/tex]

                                       [tex]=0.1[/tex]

So, Common Difference [tex](d)[/tex] is    [tex]0.1[/tex] which is the difference of consecutive terms of Arithmetic Sequences.

Hence, we can say that the common difference [tex](d)[/tex] of  Arithmetic Sequences  [tex]4,4.1,4.2,4.3,4.4[/tex]  is [tex]0.1[/tex] .

To know more about Arithmetic Sequences click here

https://brainly.com/question/15412619

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Helppppppppppp with 3 & 4!!!!!!!!!!!!!!!!!!!!!!!

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Answer:

3 is b

4 is also b

Step-by-step explanation:

does this graph show a function. explain how you know.

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Answer:

its should be A because theres no vertical line that looks like that lol

Answer:

A.  The graph fails the vertical line test, I think.

Step-by-step explanation:

help would be nice thank you!

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Answer:

Option B

Step-by-step explanation:

Given equation gives the information about the temperature in Vancouver over a period of 4 hours.

y = -2x + 43

Here 43 represents the initial temperature and (-2) represents the temperature fall in every one hour.

x = duration or time

Therefore, equation states that initial temperature when measured was 43 °F and it is dropping by 2 degrees per hour.

Option B is the answer. 

HELP PLEASE!!!!!!!!!!!!

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Answer:

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Step-by-step explanation:

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Answer:

Dividend

Step-by-step explanation:

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Answer:

Dividend

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Describe and correct the error in finding the value of x.

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4x + 6 isnt equal to 3x + 9

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Answer:

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Step-by-step explanation:

Which of the following phrases are expression
-3
8+c<7d
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8
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(10+7)(50+1)

Answers

B,D,E is the answer for sure

Liliana spends $4.00 on 2 boxes of popcorn and 2 drinks.Nadette spends $5.25 on 2 boxes of popcorn and 3 drinks.The prices of the popcorn and drinks can be determined by solving the system of equations.
2p+2d=4.00
2p+3d=5.25
what is the price of a box of popcorn? A drink?
P=
D=

Answers

Answer:

p=0.75$

d=1.25$

Step-by-step explanation:

2p+2d=4

So 2p=4-2d

2p+3d=5.25

4-2d+3d=5.25

d=5.25-4

d=1.25

2p+1.25*2=4

2p=4-2.5

2p=1.5

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Simplify the expression and enter your answer below.

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Answers

Answer:

15^1 or just 15

Step-by-step explanation:

(15^1/5)^5

If there is a parenthesees seperating powers you can times the two numbers.

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What can you do if your struggling in Volume in Math?

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Answer:

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Step-by-step explanation:

Dan runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?

Answers

Answer:

I think it would be 4 not sure

Can you solve this?
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Answers

Answer:

n = [tex]\frac{9v - 4f}{k}[/tex]

Step-by-step explanation:

kn + 4f = 9v

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n = [tex]\frac{9v - 4f}{k}[/tex]

Help PLEASE. 15 pts

Which equations illustrate the zero property of multiplication? Select ALL that apply.
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Answers

Answer:

0* 1/9*9=0

Step-by-step explanation:

The zero property of multiplication states that any non-zero number multiplied by zero will equal zero.

it can't be the first one, since there's no zero in it, and the answer isn't zero

it can't be the second one since there's no multiplication illustrated.

The third one is an option, since there is a zero and it's being multiplied by two non-zero numbers, and the answer is 0

the fourth one isn't an option since there's no multiplication

the fifth one isn't an option since there is no 0's there.

hope this helps!

PLEASE HURRY!!!!!!!!!!
I WILL VOTE BRAINLIEST!!!!!!!!!
ACTUALLY ANSWER IT AND PROVIDE ALL WORK!!!!!!!!!!!!!

Answers

Answer:

The answer gonna be B

u welcome

Answer:

A

Step-by-step explanation:

We can see that our figure is composed of a cylinder and a cone.

So, we can utilize the surface area formulas.

The surface area of a cylinder is given by:

[tex]SA=2\pi r^2+2\pi r h[/tex]

The first term is the two circular bases, and the second term is the lateral surface area.

Notice that the circular base has a diameter of 6. So, its radius is 3.

Also, the height of the cylinder is 50.

However, notice that one of the circular bases is not included in our surface area as it’s connected to the cone. So, we will remove that from our surface area. This gives us:

[tex]SA=\pi r^2+2\pi rh[/tex]

Therefore, by substituting 3 for r, the radius, and 50 for the height h we can see that:

[tex]\begin{aligned}SA&=\pi(3)^2+2\pi(3)(50)\\&=9\pi+300\pi\\&=309\pi\end{aligned}[/tex]

Now, we can determine the SA of the cone.

Again, we will only need to lateral surface area, since the circular base is connected to the cylinder.

The lateral surface area of a cone is given by the formula:

[tex]SA=\pi r\ell[/tex]

Where r is the radius and l is the slant height.

The radius is 3 and the slant height is 5. Therefore:

[tex]SA=\pi(3)(5)=15\pi[/tex]

So, our total surface area is:

[tex]SA_{\text{Total}}=309\pi+15\pi[/tex]

Simplify:

[tex]SA_{\text{Total}}=324\pi\\[/tex]

Approximate:

[tex]SA_{\text{Total}}\approx1017.9\text{ units}^2[/tex]

Hence, our answer is A.

I DONT UNDERSTAND PROBLEMS PLS HELPPPP MATH

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Answer:

#9) A) Addition property of equality

Step-by-step explanation:

Hope this helps

Plz answer these 2 I’ll mark brainliest

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Answer:

16. C

17. B

sorry if i got it wrong

Answer:

THE ANSWER

A

B

Step-by-step explanation:

MARK BRAINLIEST

Write the equation for each graph below.

Answers

Answer:

The first one is 3x+1

The second one is 3/4x - 2

Step-by-step explanation:

Look where the line intersects then count the dots to where the next point is.

Directions
1.Make sure to put the question number next to each answer.
2. If you correctly fill out the questions you will be given a link to 50 points.
3. If you incorrectly answer the question (put random numbers or letters) I will report you.
( You will be messaged through inbox so be sure to add your email in the answer)
Also you will be sent the link within 5 mins of the time you answered the question.

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So you want me to answer that entire page for you?

Okay

If two sides of a triangle are 4 inches and 6 inches, determine the possible lengths of
the third side.
O 4 inches < x < 6 inches
O 2 inches < x < 10 inches
O 4 inches < x < 10 inches
O 5 inches < x < 11 inches

Answers

Answer:

4 inches < X < 6 inches because it says that 1 side of the triangle is 4 inches and the other side of the triangle is 6 inches.

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