You are considering buying a swimming pool and have narrowed the choices to
two-one that is circular and one that is rectangular. The width of the rectangular pool is three times its depth. Its length is 6 feet more than its width. The circular pool has a diameter that is twice the width of the rectangular pool, and it is 2 feet deeper.

16. Find the ratio of the volume of the circular pool to the volume of the rectangular pool.

17. The volume of the rectangular pool is 2592 cubic feet. How many gallons
of water are needed to fill the circular pool if I gallon is approximately 0.134 cubic foot?

Answers

Answer 1

Answer:

245² ft high or something else


Related Questions

100 points and Brainliest for whoever answers this question correctly first.

No, this is not a test.
Yes, I would appreciate the quickest answer possible.

Answers

Answer:

[tex]\dfrac{1}{102}[/tex]

Step-by-step explanation:

Average rate of change of function [tex]f(x)[/tex] over the interval [tex]a \leq x \leq b[/tex] is:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Given function:

[tex]f(x)=\dfrac{2x-2}{5x-6}[/tex]

Given interval [tex]0\leq x\leq 8[/tex] :

when [tex]x=0[/tex]:

[tex]f(0)=\dfrac{2(0)-2}{5(0)-6}=\dfrac13[/tex]

when [tex]x=8[/tex]:

[tex]f(8)=\dfrac{2(8)-2}{5(8)-6}=\dfrac{7}{17}[/tex]

Therefore, average rate of change:

[tex]\dfrac{f(8)-f(0)}{8-0}=\dfrac{\frac{7}{17}-\frac13}{8}=\dfrac{1}{102}[/tex]

f(1)=15
f(n)=f(n-1)·n
f(2)=?

Answers

Answer:

is f(2)=13 this is the answer because You have to división ir multiplicar ir

Answer:

f(2)=30

Step-by-step explanation:

Khan <3

how many feet is the answer?

Answers

Answer:

1023 feet

Step-by-step explanation:


Find the range, mean, and standard deviation of the data set
{8, 9, 8, 4, 4, 7, 18, 14}
The range is

(Type a whole number.)

The mean is

(Type an integer or a decimal.)

The standard deviation is

(Round the final answer to two decimal places as needed Round all intermediate values to three decimal places as needed.)

Answers

Answer:

mean: 8

medium:7

min: 4

max: 18

hope that helps

If you deposit $3,000 in a savings account that earns simple interest at a rate of 2.5% a year, how much interest would you have after 4 years?

Answers

Answer:  300 dollars

Work Shown:

i = P*r*t

i = 3000*0.025*4

i = 300

100 Points and Brainliest.
Write an equation that represents the line.
Use exact numbers.

Inserting gibberish or an absurd answer that isn't applicable will be reported and removed.

Answers

Answer:

See below ↓

Step-by-step explanation:

We have a graph given to us.

⇒ Take the points to form an equation!

The points

(4, 6)(-2, 1)

Making an equation

Find the slopem = 1 - 6 / -2 - 4m = -5 / -6m = 5/6

Take one of the two points and substitute in the equation :⇒ y - y₁ = m (x - x₁)⇒ y - 6 = 5/6 (x - 4)⇒ y - 6 = 5x/6 - 10/3⇒ y = 5x/6 + 8/3⇒ or 6y = 5x + 16

Take two points

(-2,1)(4,6)

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{6-1}{4+2}=\dfrac{5}{6}[/tex]

Equation in point slope form

[tex]\\ \rm\rightarrowtail y-1=5/6(x+2)[/tex]

[tex]\\ \rm\rightarrowtail 6y-6=5x+10[/tex]

[tex]\\ \rm\rightarrowtail 6y=5x+16[/tex]

[tex]\\ \rm\rightarrowtail y=5/6x+8/3[/tex]

An angle measure 29•, what is the measure of it compliments

Answers

Answer:

The complement of 29° is the angle that when added to 29° forms a right angle (90° ).

Step-by-step explanation:

Hope this helps you!

Which number line shows the solution set for l s/2 +4 l <2

Answers

Step-by-step explanation:

Hopefully this was helpful!

The difference of two numbers is 8. What two numbers will minimize the product? The numbers are ___ and ____.

Answers

Answer:

-4 and 4

Step-by-step explanation:

Have a good day.

Answer:

answer is -4 and 4 ):(

Step-by-step explanation:

Write the percent as a decimal.

78% =

Answers

Answer:

0.78

Step-by-step explanation:

78 / 100

note that 100% = 1

what is the answer to -2-(-2)

Answers

Answer:

0

Step-by-step explanation:

-2 + 2 = 0

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

The radius of a circle is 14 centimeters. What is the circle's circumference?

Answers

Hello!

To solve this exercise, we must use the formula below:

[tex]\mathrm{C=2\cdot\pi\cdot r}[/tex]

C = ?π = 3.14r = 14cm

Knowing these values, let's replace them in the formula to obtain r:

[tex]\mathrm{C=2\cdot 3.14 \cdot 14}\\\mathrm{C=6.28 \cdot 14}\\\\\boxed{\mathrm{C=87.92}}[/tex]

So, the circle's circumference is 87.92cm.

Hope this helps!

Answer:

[tex]\boxed{\sf{87.92cm}}[/tex]

Step-by-step explanation:

To solve this problem, you need to multiply the radius of a circle by the circumference formula.

Circumference formula:

[tex]\sf{C=2\pi r}[/tex]

[tex]\sf{C=2*\pi r}[/tex]

C=?

π= 3.14

r= 14

[tex]\sf{2*3.14*14}[/tex]

Solve.

[tex]\sf{2*3.14=6.28}[/tex]

[tex]\sf{6.28*14=\boxed{\sf{87.92}}[/tex]

Therefore, the correct answer is 87.92cm.

I hope this helps you! Let me know if my answer is wrong or not.

-5x+y=-10 and -4x-y=-26

Answers

Answer:

[tex]\left\{\begin{matrix}x=4\\y=10\\\end{matrix}\right.[/tex]

Step-by-step explanation:Solve the equation

[tex]\left\{\begin{matrix}-5x+y=-10\\-4x-y=-26\\\end{matrix}\right.[/tex]

_____________________________________

Add the two equations

[tex]-5x+y+(-4x-y)=-10+(-26)[/tex]

____________________________

Remove parentheses

[tex]-5x+y-4x-y=-10-26[/tex]

_________________________________________________

Cancel one variable

[tex]-5x-4x=-10-26[/tex]

___________________________________________

Combine like terms

[tex]-9x=-10-26[/tex]

______________________________________________

Calculate the sum or difference

[tex]-9x=-36[/tex]

________________________________________________

Divide both sides of the equation by the coefficient of variable

[tex]x=\frac{-36}{-9}[/tex]

____________________________________________________

Determine the sign for multiplication or division

[tex]x=\frac{36}{9}[/tex]

_________________________________________

Cross out the common factor

[tex]x=4[/tex]

_____________________________________________Step-by-step explanation:Substitute into one of the equations

[tex]-4\times4-y=-26[/tex]

____________________________________________________

Calculate the product or quotient

[tex]-16-y=-26[/tex]

______________________________________________________

Rearrange variables to the left side of the equation

[tex]-y=-26+16[/tex]

_____________________________________________

Calculate the sum or difference

[tex]-y=-10[/tex]

_________________________________________-

Divide both sides of the equation by the coefficient of variable

[tex]y=10[/tex]

I hope this helps you

:)

Question 2
5 pts
You deposit $5000 in an account earning 7% interest compounded
monthly. How much will you have in the account in 10 years?
5 nts

Answers

[tex]s = 5000(1.07) {}^{t} [/tex]

[tex]s = 5000(1.07) {}^{10} [/tex]

[tex]s = 5000(1.96715)[/tex]

[tex]s = 9835.756 \: dollars[/tex]

7 5/8 + 1 1/2 = ?


how do you do it?? need help!

Answers

9 1/8 you need common denominators for the fractions so multiply 1/2 by 4

Darya is a real estate broker with a house listing. She estimates that this listing will cost her ​$2300 for various expenses. If Darya sells the house within 6​ months, she will receive a commission of ​$20,000. If it takes longer than 6​ months, the listing will​ expire, and​ she'll lose the ​$2300 she spent on expenses. She estimates the probability that​ she'll sell the house within 6 months is 80%. Determine​ Darya's expectation for this listing.

Answers

Using a discrete distribution, it is found that Darya's expectation for this listing is of $13,700.

What is the mean of a discrete distribution?

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

In this problem, considering the situation described in the text, the distribution is given by:

P(X = 17,700) = 0.8.P(X = -2,300) = 0.2.

Hence, her expectation is given by:

E(X) = 0.8 x 17,700 - 0.2 x 2,300 = $13,700.

More can be learned about discrete distributions at https://brainly.com/question/24855677

A line with a slope of -10 passes through the
points (a, 6) and (-6, -4). What is the value
of a?
a =

Answers

i think the answer would be -8,6

Evaluate 3x2−9
when x=−2

Answers

Answer:

3

Step-by-step explanation:

substitute x = - 2 into the expression

3x² - 9

= 3(- 2)² - 9

= 3(4) - 9

= 12 - 9

= 3

A missionary used his plane to take an injured girl 855 kilometers to the hospital. If he flew at an average speed of 171 kilometers per hour, how long did it take to reach the hospital?​

Answers

Step-by-step explanation:

171 km/h

travel distance = 855 km

855 / 171 = 5 hours

it took him 5 hours to fly the 855 km (theoretically to the hospital).

normally, with a plane, you can't land on or at a hospital. you would need a helicopter to be able to do that.

so, he could only fly to a nearby airport, and then travel from there to the hospital. but we have no information about that.

Please solve with explanation high points

Answers

Answer:

a. -2x^2 + 3x+5=y

b.-x^2 +5x-4=y

c.-x^2 +6x-12=y

Step-by-step explanation:

a.y=-2x^2 +bx+c

the points P and Q lie on curve

[tex]\left \{ {{-b+c=2} \atop {b+c=8}} \right.[/tex]

=> b=3, c=5

b. delta = b^2 +4c

x1= [tex]\frac{-b+\sqrt{b^{2}+4c } }{-2}[/tex] =4

=> [tex]b-\sqrt{4c+b^{2} }[/tex]=8

x2=[tex]\frac{-b-\sqrt{b^{2}+4c } }{-2}[/tex]=1

=>2=b+[tex]\sqrt{b^{2}+4c }[/tex]

suppose : [tex]\sqrt{b^{2}+4c }[/tex] = a

=> [tex]\left \{ {{a+b=2} \atop {-a+b=8}} \right.[/tex]

=> a=-3

b=5

a=-3 =>  [tex]\sqrt{b^{2}+4c }[/tex] =-3 => b^2 +4c =9 =>5^2 +4c=9 => c=-4.

c.vertex (3;-3)

[tex]\frac{-b}{-2}[/tex]=3 => b =6

[tex]\frac{-D}{4a}[/tex]=[tex]\frac{-b^{2}+4ac}{-4}[/tex] =-3 =>-b^2+4ac=12 => c=-12.


At a local pizza shop 2 pizzas will serve 6 people.
How many people will 8 pizzas serve?

Answers

2pizza serves 6 people
1pizza serves 6/2 people
8pizza serves 6/2*8
=24people
8pizza serves 24 people

Find all the factors of 18.
A) 2, 9
B) 1, 2, 3, 6, 9, 18
C) 1, 2, 3, 4, 6, 8, 9, 18

Answers

Answer:

B)1, 2, 3, 6, 9, 18

Step-by-step explanation:

1×18

2×9

3×6

HOPE IT HELPS YOU

Which graph represents an exponential function?

Answers

Answer:

the linear graph man

please why ask ezzy questions

The dosage for a painkiller is 0.05 mg per kilogram of a patient's body mass. How much of the drug should be administered to a patient who is 50 kg?
A 50-kg patient would be given mg of painkiller?

Answers

Answer:

0.05 mg for 1 kg, so multiply 0.05 by 50, since the patient is 50 kg, and you get 2.5 mg.

Answer:

2.5 mg

Step-by-step explanation:

.05 mg / kg    *   50 kg = 2.5 mg

what is the equation of the following graph?

Answers

Answer:

Step-by-step explanation:

When figuring out the graph of a sinusoidal, I keep in mind the acronym FPARHM:

F - function (sine or cosine)

P - period

A - amplitude

R - reflections

H - horizontal/phase shift

M - midline

Looking at the graph, we can figure out that the function is sine (since it intersects the origin at its midpoint, the period is [tex]\pi[/tex] (because it repeats every [tex]/pi[/tex] units in the x-direction, the amplitude is 2 (because the graph's extreme points are 2 units away from the midline in the y-direction, there are no reflections, no horizontal/phase shift, and the midline is [tex]y=0[/tex] (since the graph isn't shifted up or down in the y-direction.

Finally, knowing all these parts, we can piece together the equation of the sinusoidal graph. In general, the equations of sinusoidal graphs are in the form [tex]y=a\sin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex] \frac{2\pi}{|b|}[/tex] is the period, [tex] \frac{c}{b}[/tex] is the horizontal shift, and [tex]d[/tex] is the midline. Additionally, if [tex]a[/tex] is negative, the graph needs to be reflected over the x-axis and if [tex]b[/tex] is negative, the graph needs to be reflected over the y-axis. Knowing this, all we need to do is plug in the amplitude, period, phase shift, and midline to the equation. The equation is [tex]y=2\sin(2x)[/tex]

Hope this helps :)

Need help with his geometry question. Find the value of x

Answers

Hey there!

Answer: [tex] \Rightarrow \boxed{\sf{x = 25}}[/tex]

[tex] \rightarrow \sf{ \frac{x}{20} = \frac{30}{24} }[/tex]

[tex] \rightarrow \: \boxed{ \sf{24x = 600}}[/tex]

[tex] \rightarrow \: \boxed{ \sf{ \frac{24x}{24} = \frac{600}{24}}} [/tex]

[tex] \rightarrow \boxed{ \bold{\sf{ x = 25}}}[/tex]

Hopes this helps

What is the area of this figure?

Answers

Answer:

cover an area of 404 area

Step-by-step explanation:

23*8+11*20=404(area)

Test question, are you able to hold yourself from adding an answer?

Answers

yes you are able to hold yourself from adding an answer

Given P(E or F) = 0.69, P(E) = 0.49, and P(E and F) = 0.06, what is P(F)?

Answers

Answer:

P(F) = 0.26

Step-by-step explanation:

Given:

P(E ∪ F) = 0.69P(E) = 0.49P(E ∩ F) = 0.06

Using formula:   P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

⇒ P(E ∪ F) = P(E) + P(F) - P(E ∩ F)

⇒ 0.69 = 0.49 + P(F) - 0.06

⇒ 0.69 = 0.43 + P(F)

⇒ P(F) = 0.69 - 0.43

⇒ P(F) = 0.26

7. Which statement proves that a quadrilateral is a rhombus? A There is no line of symmetry B. All four sides are congruent C. The diagonals bisect each other D. The diagonals are perpendicular​

Answers

Answer:

B. All four sides are congruent

Step-by-step explanation:

To prove a quadrilateral is equal, prove the four sides to be equalAs the defining feature of a rhombus is that it has 4 equal sides
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