An aquarium in the shape of a rectangular prism has a bottom, no top, two square sides, and two sides
the same height as the square sides but twice their length. The total area of the five sides 15 2,592 in?.
Find the volume of the aquarium. Complete the explanation of your reasoning.
Let x represent the length and height of the square sides. Then the longer sides and the bottom measure
2x by x. The total area of the five sides, in terms of x, is A =____
So, the total area of the five sides,
A, is 2,592 in2. Solving for x we get x =____
The tank's volume is ____
in squared?

Answers

Answer 1

Answer:

volume = 11,664 units cubed

Step-by-step explanation:

2[tex]x^{2}[/tex] times 3 = bottom and sides

[tex]x^{2}[/tex] times 2 = ends

A = 6[tex]x^{2}[/tex] + 2[tex]x^{2}[/tex] = 8[tex]x^{2}[/tex]

2592 = A

2592/8 = 8[tex]x^{2}[/tex]/8

324 = [tex]x^{2}[/tex]

take square root of both sides

18 = x

so volume = length times width times height

2(18) times 18 times 18 = 11664

11664 units cubed


Related Questions

The ratio of pens to pencils in the box is 84 to 112. Which statement describes this relationship?
A)
There are 3 pens for every 4 pencils in the box.
B)
There are 4 pens for every 6 pencils in the box.
There are 4 pens for every 3 pencils in the box.
D)
There are 6 pens for every 4 pencils in the box.​

Answers

Answer:

A) There are 3 pens for every 4 pencils in the box

Hope this helps!

7. A random sample of size n is collected from a considerably larger population
of size N. That sample is used to create a 95% confidence interval to estimate a
population proportion. Using the same sample proportion, the confidence
interval would be narrower if:
(A) A smaller sample size was used.
(B) A t-procedure was used instead of a z-procedure.
(C) A higher confidence level was used.
(D) The population size N was larger.
(E) A lower confidence level was used.​

Answers

Answer:

B. Larger sample size and lower confidence level

Step-by-step explanation:

The margin of error of a confidence interval is given by the following formula:

In which  is the standard deviation of the population and n is the size of the sample.

z is related to the confidence level. The higher the confidence level, the higher the value of Z.

So, the margin of error is direct proportion to the confidence level and inverse proportional to the sample size.

We want to decrease the margin of error.

So the correct answer is:

B. Larger sample size and lower confidence level

Answer:

(E) A lower confidence level was used.

Step-by-step explanation:

The correct answer is (E). With the sample proportion remaining the same, a lower confidence level results in a lower margin of error and a narrower interval.

This net consists of a square and 4 identical triangles. What is the surface area of the solid this net can form?


144 square inches
184 square inches
224 square inches
264 square inches

Answers

Answer: 224

Step-by-step explanation:

I did the calculations don’t worry

Answer:

the person above me is correct

Step-by-step explanation:

What’s the missing leg length round to nearest tenth if needed

Answers

Answer:

b = √19 meters ⇒ ( About ) 4.4

Step-by-step explanation:

Knowing that this is a right triangle;

a^2 + b^2 = c^2 ⇒ Applying Pythagorean Theorem, where a and b are the legs, c ⇒ hypotenuse,

9^2 + b^2 = 10^2 ⇒ Solve for value of b,

81 + b^2 = 100 ⇒ Subtract 81 from either side,

b^2 = 19 ⇒ Take square root of 19,

Solution; b = √19 meters

Rebecca has 85 ounces of soda in her refrigerator. She drinks exactly 1/5 ounces of soda everyday. At this rate, what is the maximum number of days that Rebecca can continue to drink the soda she has?
A. 90 days

B. 125 days

C. 320 days

D. 425 days

Answers

1/5=0.2

85/0.2 = 425

therefore the maximum number of days is 425

PLEASE HELP NOW!! BRAINLIEST

Point P(-3,-4) is rotated 270° clockwise about the origin.
What are the coordinates of its image after this transformation?

Answers

Answer:

(4,-3)

Step-by-step explanation:

If you graph this point, then it will be in the 3rd quadrant.

A 180 degree rotation will put it in the 1st quadrant.

And the extra 90 degrees will put in in the 4th quadrant, so we know that in (x,y), x is positive, and y is negative. then if you theoretically rotate it, since you are rotating it 90 degrees, 3 times, you will have to switch the x and y, since 3 is an odd number. so the final answer is (4,-3).

The coordinates of the given image after this transformation will be (4,-3).

What is transformation?

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

Given that, Point P(-3,-4) is rotated 270° clockwise about the origin.

When graph this point, then it will be in the 3rd quadrant.

A 180° rotation will put it in the 1st quadrant.

And the extra 90° will put in the 4th quadrant, so we know that in (x, y), x is positive, and y is negative. then if you theoretically rotate it, since you are rotating it 90°, 3 times, you will have to switch the x and y, since 3 is an odd number.

Hence, The coordinates of the given image after this transformation will be (4,-3).

For more references on transformation, click;

https://brainly.com/question/11709244

#SPJ2

Which of the following is true for the statement "7 is an odd number"?

A)
It's a compound statement.

B)
It's a closed statement.

C)
It's an open statement.

D)
It's both an open and closed statement.

Answers

Answer:

C - it is a open statement

Step-by-step explanation:

Answer:

A) It's a compound statement.

Step-by-step explanation:

Find "C" when "F" = 120.
Round to tenths.
C= 5F-160 /9​

Answers

Answer:

C = 48.9

Step-by-step explanation:

C= 5F-160 /9

C= (5F -160)/ 9

Put F =120

C = (5(120) - 160)/9

C= (600 - 160)/9

C = 440/9

C = 48.89≈ 48.9

order the set numbers from least to greatest

Answers

Step-by-step explanation:

the answer is the last option

What is the surface area of this figure?

Answers

Answer:

328

Step-by-step explanation:

The function h(x) = x + 1 is formed by adding two functions, f(x) and g(x). The function j(x) = 3x – 6 is formed by multiplying the same functions. Which could be true of f(x) and g(x)? Check all that apply.
Both functions must be linear functions.
Both functions must have a positive rate of change.
The rate of change of both f(x) and g(x) must be less than 3.
The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.
The y-intercepts of f(x) and g(x) must be between –6 and 1.

Answers

Answer: this is the right answer Both functions must be linear functions. And The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.

Step-by-step explanation:

The true statements about the functions f(x) and g(x) are (a), (c) and (d)

How to determine the true statement?

The functions are given as:

h(x) = x + 1

j(x) = 3x - 6

From the question, we have:

h(x) = f(x) + g(x)

j(x) = f(x) * g(x)

Expand the function j(x)

j(x) = f(x) * g(x) = 3 * (x - 2)

By comparison, we have:

f(x) = 3

g(x) = x - 2

f(x) + g(x) = 3 + x - 2

f(x) + g(x) = x + 1

This gives

h(x) = x + 1

By analyzing the functions f(x) = 3 and g(x) = x - 2, we can see that:

Both functions are linear functionsThe rates of change of the functions are less than 3The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.

Hence, the true statements are (a), (c) and (d)

Read more about linear functions at:

https://brainly.com/question/4025726

PLEASE HELP ON THIS QUESTION! I WILL MARK YOU BRAINLIEST IF CORRECT :) TYY

Answers

Answer:

no it's not a reflection

Step-by-step explanation:

a reflection would not be upside down like that, it would be the same thing rotated

PLZ I need help with the first problem!

Answers

Answer:

5/32

Step-by-step explanation:

You would change 1/2 to 2/4 so you can subract 1/2 from 3/4 .You do 3/4-2/4 and you get 1/4.Then you would multiply the height and width so you multiply 1/4 and 1 1/4 and 1/2.

Find Volume of water.

V=lwh

V= 1/2 x 1/2 x 5/4

V=5/16.

Find Volume of The whole shape.

V=lwh

V= 1/2 x 5/4 x 3/4

V=15/32.

Subtract : 15/32-5/16=5/32

VOLUME OF MISSING PART = 5/32 meters cubed

PLEASE HELP MEEEE--Identify the coefficient and exponent of these very large and very small numbers represented in scientific notation
Identify how each number would be represented in scientific notation.
5,890,000 = 2 x 106
a= 7
b =
0.0000521 = 100
c=
d=​

Answers

It would be 2,944,947 because you - 106 and divided by 2

Answer:

A= 5.89

b = 6

c= 5.21

d= -5

Which is the definition of a line segment?

Answers

DescriptionIn geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints.

Answer:

In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints.

Step-by-step explanation:

So basically its the part of a line that connects two points.

Can someone explain and answer

Answers

The answer is D. y = -2x + 20. This is because it has a negative slope (-2x). When a number in a slope-intercept equation has the variable (x), that determines the positive or negative association. If it is a positive slope, it travels up from left to right. If it is a negative slope, it travels down from left to right.

Answer:

D. y = -2x + 20

Step-by-step explanation:

first, plot these points on a linear graph.

work down from the top:

A. y = 2x + 5

look at the last number first, this means the line will cross over the y axis (vertical line) at + 5. draw a point on + 5

y = 2x + 5

From this point (+5), the 2x means that for every 1 square you move across (to the right), you will go up 2. This will make the second point of the line. connect the dots. (see picture 1 below)

B. y = 2x - 6

the last number means the first point will be on -6 on the y axis.

y = 2x - 6

the 2x means that every 1 square you go across (to the right) from that point, you will move up 2

C. y = 2x

as there is no second number, this line will cross through the center of the graph. the 2 means that for every 1 square you move across from that point, you will move up 2

D. y = -2x + 20

the +20 means this line will cross the y axis and + 20, the -2 means that for every 1 square you move across to the right, you move DOWN 2.

this is the only line that moves down from left to right

Help fast please
Find the surface area of a cylinder with 20 inches long and radius of 8 inches​

Answers

Answer:

1407.43

Step-by-step explanation:

I will give brainliest to any correct answer. Question is the image attached, please answer asap.

Answers

i would say C. because since its 4 times the radius then you factor in thats only half of the circle then you factor in the other side which makes it 8 hope this is true

please help
Find the area if a parallelogram base measures 12 cm, height measures 5 cm​

Answers

Look at the attached picture..

Have a great day ..

Will give the brainliest for quick answer please!

Answers

Answer:

Pink

Step-by-step explanation:

Hope this helps

Please mark me as Brainliest

please help asap!!!!!!!

Answers

Answer:

So the answer is A

Step-by-step explanation:

A)

[tex]f(x)=815.03(1.38)^{x}[/tex]

f(1) = 1124.74

f(2)= 1552.143

f(3) = 2141.9575

f(4)= 2955.901

f(5)= 4079.1439

So the answer is A

B)

[tex]f(x)=1.38x^{2} -2.64x+815.03[/tex]

f(1) = 813.77

wrong!

C)

[tex]f(x)= 1.38x+815.03[/tex]

f(1) = 816.14

D)

[tex]f(x)=815.03\sqrt{x} -1.38[/tex]

f(1)= 813.65

wrong!

can you plz help me i really appreciate it​

Answers

2 gallons of ice cream is $3.98.
2 dozen ears of corn is $4.
4 + 3.98 = 7.98
30 - 7.98 = 22.02
Vicky had $22.02 left.

find the output, y, when the input, x, is -7​

Answers

Answer:

y = -6

Step-by-step explanation:

We want to find the y value on the graph when x = -7

Got to x = -7 and find the value  of the blue line

y = -6

Answer: y = 4

Step-by-step explanation: We should look for the point on the graph whose x-coordinate is 7.

The point on the graph whose x-coordinate is 7 is the point (7,4). When the input is 7, the output is 4.

Hint #33 / 3

When the input is 777, the output is 444.

A letter L with a height of 9 inches is drawn on the actual flag. What should be the height and inches of a letter L in the scale drawing? Explain plzzz....

Answers

Answer:

0.5 inch on the drawing

Step-by-step explanation:

The following information is missing:

The scale factor of the drawing to the actual flag is represented by the ratio 1:18.

This scale factor means that 1 inch on the drawing are equivalent to 18 inches o n the actual flag. We want to know the height on the drawing, given that a height of 9 inches is drawn on the actual flag. The following proportion must be satisfied:

1 inch on the drawing / x inch on the drawing = 18 inches o n the actual flag / 9 inches o n the actual flag

x = 9/18 = 0.5 inch on the drawing

The radius of a circle is 3 cm. Find its area to the nearest tenth.

Answers

Area of circle formula: A = πr^2

A = π(3)^2

A = π(9)

A = 28.26cm^2

Best of Luck!

What does a+2b=if a =6

Answers

6+2b There is nothing for B so it stays the same

Answer:

b=-3

Step-by-step explanation:

you substitute 6 for A so the equation is 6+2b=0 then you subtract 6 which gives you 2b=-6 then you divide by 2 so you have b = -3

Why do you need to simplify exponents?

Answers

Answer:

we need a different way to express the value of something

Step-by-step exp

Sam has $24 in his wallet. He pays $8 to have his car washed. Which expression represents this situation?
a. -24 +(-8)
b. -24 +8
c. 24 + (-28)
d. 24 + 8

Answers

Answer:

B

Step-by-step explanation:

Your answer is - 24 + 8.

The area of trapezoid is 120 sq inches. It two parallel sides are 6 inches and 14 inches respectively. What is the height? (with explanation)

Answers

Answer:

height = 12 cm

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h(a + b)

where h is the height and a, b the parallel bases.

Here A = 120, a = 6 and b = 14 , thus

[tex]\frac{1}{2}[/tex] h (6 + 14) = 120

[tex]\frac{1}{2}[/tex] h × 20 = 120

10h = 120 ( divide both sides by 10 )

h = 12 cm

Evaluate loook at the pic

Answers

Answer:

17

Step-by-step explanation:

So the 3 to the power 2 is 9, so 9x2 is 18 so then minus the 1 and it’s 17.

17 is the answer because 3^2 equals 9 and 9 times 2 equals 18 and 18 minus 1 equals 17
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