a stadium shaped like a hemisphere with a radius of 150 feet. last month the owners of the stadium paid $0.05 per cubic foot to cover the cost of utilities. what was the total cost for utilities last month​

Answers

Answer 1

The formula for volume of a hemisphere is: V = 2/3 * π * r³

Volume = 2/3 x 3.14 x 150^3

Volume = 7,065,000 cubic feet.

Multiply the cost per cubic foot by the volume:

7,065,000 x 0.05 = 353,250

The total cost was $353,250


Related Questions

Help fam I have no braincells left

Answers

7. Alternate interior
8. Congruent
9. Work:
6x - 16 = 2x + 40
4x = 56
x = 14

A right triangle is shown. An altitude is drawn to form a right angle with the opposite side and split the side into lengths of 3 and 3. What is the value of x? One-third StartRoot 2 EndRoot units One-half StartRoot 3 EndRoot units 2 StartRoot 3 EndRoot units 3 StartRoot 2 EndRoot units

Answers

Answer:

3√2

Step-by-step explanation:

Find the diagram attached

Sine the base of the triangle are divided equally the opposite angle to the sides will be 45 degrees

Considering one of the right angles triangle;

Hypotenuse = x

Opposite = 3

Angle theta = 45 degrees

According to SOH CAH TOA

sin theta = opp/hyp

sin 45 = 3/x

x = 3/sin45

x = 3/(1/√2)

x = 3 * √2

x = 3√2

Hence the value of x is 3√2

Answer:

d or 4

Step-by-step explanation:

got it right correct me if im wrong, please

What is x-intercept of y=-3x+5

Answers

Answer:

To find x intercept, u graph it

the x intercept is 1.67

Step-by-step explanation:

pls help me 10 points

Answers

Answer:

y = -2/3x + 1

Step-by-step explanation:

( -3, 3) and (0,1)

m=(y2-y1)/(x2-x1)

m=( 1 - 3)/(0+3)

m = (-2)/3

m = -2/3

y - y1 = m(x - x1)

y - 3 = -2/3(x + 3)

y - 3 = -2/3x - 2

y = -2/3x + 1

Answer:

y = -2/3x + 1

Step-by-step explanation:

(-3,3) and (0,1)

slope= y2-y1/x2-x1

1-3 / 0+3

-2/3

y = mx + b

y = -2/3x + b

1 = 0 + b

b = 1

y = -2/3x + 1

hope this helps :)))

Help me with this!!!

Answers

Answer:

No

Step-by-step explanation:

The perpendicular bisector theorem wouldn't really work with it not being a clear right angle or perpendicular. But with HG being congruent with GJ, it would be easy to find the answer

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3−i.

Answers

Answer:

[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]

Step-by-step explanation:

Given

[tex]p =1[/tex] -- Leading coefficient

[tex]Zeros: 4\ and\ 3 - i[/tex]

Required

Determine the polynomial

Represent the zeros with a and b

Such that

[tex]a = 4[/tex]

[tex]b = 3 - i[/tex]

The polynomial is:

[tex]P(x) = p * (x - a) * (x - b)[/tex]

[tex]P(x) = 1 * (x - 4) * (x - (3 - i))[/tex]

However, to solve further: We need to symmetrise over 3-i  and its conjugate

[tex]P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))[/tex]

[tex]P(x) = (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\[/tex]

To define a suitable function, the expression becomes

[tex]P(x) = (x - 4) * ((x - 3)^2+1)[/tex]

[tex]P(x) = (x - 4) * ((x - 3)(x - 3)+1)[/tex]

[tex]P(x) = (x - 4) * (x^2 - 6x + 9+1)[/tex]

[tex]P(x) = (x - 4) * (x^2 - 6x +10)[/tex]

Open bracket

[tex]P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40[/tex]

[tex]P(x) = x^3 - 6x^2 - 4x^2+10x + 24x-40[/tex]

[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]

Cake has a circumference of 20.41 inches what is the area of the cake used 3.14 approximate round to the nearest 10th

Answers

Answer:

33.2 inches²

Step-by-step explanation:

Steps to derive the answer

we are going to first determine the radius from the circumference we would calculate the area

Circumference of a circle = 2nr

n = 3.14

r = radius

20.41 = 2x 3.14 x r

Divide both sides by (2 x 3.14)

r = 3.25 inches

Area of a circle = nr²

3.14 x  3.25² = 33.2 inches²

Can someone plz help me on this the answers are at the bottom plz

Answers

Formula for a cube is a=lxwxh so 3x3x3. Equals 9x3=27

Answer:

Step-by-step explanation:

Chloe purchased a sweater that cost $24 and a shirt cost 5-8 times as much as the sweater what amount of change did she receive from clerk $50

Answers

Answer:

The answer is "$11".

Step-by-step explanation:

Chloe bought a pull, which costs [tex]\$24[/tex], and a shirt which costs [tex]\frac{5}{8}[/tex] times as much as the pullout.

Sweater cost = [tex]\$24[/tex]

Shirt cost [tex]= \frac{5}{8} \times 24=15[/tex]    

Therefore, total shirt and sweater costs[tex]= 24+15=39[/tex].

Then she gave [tex]\$ 50[/tex] to her officer.

Thus, she got changes [tex]= 50-39=11[/tex]

therefore, Chloe received a change of 11 dollars if she gave her employer [tex]\$50[/tex].

pls find both roots

[tex]t = \sqrt{\frac{8t + 24}{16} }[/tex]

Answers

Square root 2(t + 3) / 2

please help asap!! it’s due in about 20 minutes

Answers

Answer:

GH = 20

Step-by-step explanation:

Here, we want to get the numerical length of GH

from what we have, G is on FH

What this could mean is that;

FG + GH = FH

x + 5x = 4x + 8

6x = 4x + 8

6x-4x = 8

2x = 8

x = 8/2

x =4

Recall;

GH = 5x

GH = 5(4)

GH = 20

Question #8 help me plz

Answers

Answer:

UH HOLD ON RIGHT QUICK CAN YOU TELL ME THE QUESTION  

Step-by-step explanation:

3) The population of a type of bacteria, starts with 100, and grows at a rate of 300% every
day.
a) Write a formula that models this situation.
b) How many bacteria will there be in a week?
c) How many will there be in a month?
Pls help show work

Answers

a) 100 • 3 • x
b) 100 + 2100 = 2,200 in one week
c) 300 • 30 = 9,000 + 100 = 9,100 in a month with 30 days

what is the measure of the complement of a 67 degree angle?

Answers

Answer:

23°

Step-by-step explanation:

Complement angles are two angles that add up to 90°.

Since we’re given that one of them is 67°, the other one must add up to 90°

90 - 67 = 23

The other angle is 23°

Answer:

the complement of 67° is the angle that when added to 67° forms when a right angle (90°)

In the diagram below, Angle 4 and Angle 5 are classified as ______________.

Answers

Answer:

,J

Step-by-step explanation:

Answer:

chubby blubby tubby

Step-by-step explanation:

tubby blubby shubby

PROBLEM: The parent function f(x) = √x is compressed vertically by a factor of 1/4, translated left 1 and up 2 units. Write the square root function g(x)
(PLEASE SHOW WORK)
(IF YOU TROLL I WILL REPORT)

Answers

Answer
sqrt(x+1)/4+2
The /4 compresses the graph vertically by a factor of 1/4, the +2 moves the graph up by 2 units, and the +1 inside the radical moves the graph to the left by1 unit.
I hope this helps. Have a nice day!
y=√x

Translation

1 units left

y=√x+1

Compression of 1/4

y=1/4√x+1

Up 2 units.

y=1/4√x+1 +2

HELP I MARK BRAINIEST AND NAME MY KID AFTER PLS HELP ME

Answers

Answer:

1 or 2 I think hope this helps but I think it's 1!

???????? Help pls???????

Answers

Answer:

The answer is below

Step-by-step explanation:

A linear function graph can be represented by:

y = mx + b; where m is the slope and b is the y intercept, x is the independent variable and y is the dependent variable.

a) From the graph we can see the graph passes through the point (0, 100) and (20, 400). Hence we can use the following formula to find the equation:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{400-100}{20-0}(x-0)\\\\y-100=15x\\\\y=15x + 100[/tex]

b) An example of real life linear function is the energy consumed per day in kWh. Let us assume 5 kWh is consumed each day by the person. Since the independent variable is the days, it would be on the x axis, while the dependent variable (energy consumed) would be on the y axis.

What is the median of 90,97,85,72

Answers

Answer:

88

Step-by-step explanation:

the median is 88

the mean is 87.5

please help i will mark branliest

Answers

Answer:

b

Step-by-step explanation:

sorry if im wrong

Circle the smaller number: 0.123 0.13. Explain how to use the grids below to support your answer.

Answers

Answer: The smallest number is 0.123

Step-by-step explanation:

We want to find the smallest number between:

0.123 and 0.13

To do it, we first need to look at the largest digit of each number and see which one is larger.

In both cases we can see that the largest digit  for both numbers is the first digit after the decimal point.

For both numbers this digit is 1, so we can't conclude nothing yet.

Now we need to look at the next digit.

For 0.123, the second digit is 2.

For 0.13 the second digit is 3.

Then the second digit is larger for 0.13, this means that 0.123 is the smallest number.

I can not explain you how to use the grids below because i can not see them in the question.

Solve 2p + 2 = 12
This is 7th grade hon math

Answers

Answer:

Okay, subtract 2 from 12 and you get ten divided by 2 is 5 so five is the answer

Step-by-step explanation:

Answer:

work it backwards.

12-2= 10

10 ÷2 = 5

so, 2 x 5 plus 2= 12

p= 5

3x -1 is subtracted from 4 x

Answers

Answer:

x+1

Step-by-step explanation:

this is due today !! help pls

Answers

Answer:

13

Step-by-step explanation:

Answer:

you are going to do angles sum on 180 so what you are to do is 5+12+B+c=180

plsss help asap no wrong answers pls

Answers

Answer:

15

Step-by-step explanation:

15 x 15 = 225

Write an equation in point-slope form that describes the line with a slope of -3 that contains the point (1,2)

Answers

Answer:

           y - 2 = -3(x - 1)

Step-by-step explanation:

The point-slope form of equation of function passing the point (x₀,y₀) where m is the slope  is:  y - y₀ = m(x - x₀)  

m = -3

(1, 2)     ⇒    x₀ = 1,    y₀ = 2

y - 2 = -3(x - 1)

PLEASE HELP I GIVE BRAINLIEST

Answers

You have it right already

Here are questions 2 and 3 izzy2332

Answers

Answer:

question 2 is B. 3 units down

question 3 is B. 4 units down

Step-by-step explanation:

graphed it again luv <3

Find the length of the third side. If necessary, write in simplest radical form. 9 6 Answer: Submit Answer​

Answers

Answer:

[tex] \sqrt{81 - 36} \\ = \sqrt{45 } \\ = 3 \sqrt{5 } \\ = 6.71[/tex]

The length of the third side of the triangle will be 6.71 units.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The length of the third side of the triangle will be

Let x be the length of the third side of the triangle. Then we have

9² = 6² + x²

81 = 36 + x²

x² = 45

x = 6.708

x ≅ 6.71 units

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

In ΔFGH, the measure of ∠H=90°, the measure of ∠F=36°, and HF = 5.3 feet. Find the length of FG to the nearest tenth of a foot.

Answers

Answer: 6.6

Step-by-step explanation:

Answer:

6.6

Step-by-step explanation:

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