A household aquarium tank in the shape of a rectangular prism has a base length of 242424 inches (\text{in})(in)(, start text, i, n, end text, )and a base width of 15\,\text{in}15in15, start text, i, n, end text. The height of the water is 12\,\text{in}12in12, start text, i, n, end text above the base. During cleaning, 900900900 cubic inches of water is removed. What is the absolute value of the change in the height of the water in inches

Answers

Answer 1

Answer:

The absolute change in the height of the water is 9.5 inches

Step-by-step explanation:

Given

[tex]l =24in[/tex] --- length

[tex]w = 15in[/tex] --- width

[tex]h =12in[/tex] --- height

[tex]V_1 = 900in^3[/tex] --- the volume removed

Required

The absolute change in the height of the water

First, calculate the base area (b):

[tex]b = l * w[/tex]

[tex]b =24in * 15in[/tex]

[tex]b =360in^2[/tex]

The height of the water that was removed is:

[tex]H = \frac{V_1}{b}[/tex] i.e. the volume of the water removed divided by the base area

[tex]H = \frac{900in^3}{360in^2}[/tex]

[tex]H = \frac{900in}{360}[/tex]

[tex]H = 2.5in[/tex]

The absolute change in height is:

[tex]\triangle H = |h - H|[/tex]

[tex]\triangle H = |12in - 2.5in|[/tex]

[tex]\triangle H = |9.5in|[/tex]

[tex]\triangle H = 9.5in[/tex]


Related Questions

PLEASE HELP!! This is timed, but I don't recall ever learning this info T-T
I'll mark brainliest!!

Answers

Answer:

c

Step-by-step explanation:

i hope it helped ᘳ◕ᴥ◕ᘰ

What is the weight of a science book if its mass is 250g​

Answers

2.45 N

weight = mass x 9.8 m/s^2

Answer:

Here,

Mass ( m ) = 250g = (250/1000) kg =0.25 kg

g =9.8 m/s^2

Weight ( W ) = ?

We know that,

Weight ( W ) = m*g [Where g is acceleration due to gravity]

                   = (0.25*9.8) N

                    = 2.45 N

Hope it helps!

If it takes a student 1 month to read 3 books, how many months will it take them to read 24 books?

Answers

Answer:

8 Months to read 24 Books

Answer:

240

Step-by-step explanation:

I will give Brainly

What is 3x^2 - 5x^3 (5 + 7)?

Answers

Answer:

-60x^3+3x^2

Step-by-step explanation:

I need a brainly please

The sum of to try no meals is 6X^2- 5X +4. If one of the Try no meals is 6X^2+3X -2, then what is the other trinomial try no meals

Answers

Answer:

2x+6

Step-by-step explanation:

answer is in the photo above

SOMEONE PLEASE HELP MEEEE

Answers

Answer:

[tex]-180^{\circ}[/tex]

Step-by-step explanation:

Lines form 180 degrees on either side. The negative sign simply implies direction (clockwise instead of counter-clockwise), which is negligible as 180 is exactly half of 360 so you'd form the same line.

Answer:

-180 because its through 0

hope this helps!

write the expression in expanded form
3h^3(k+3)^2

Answers

Answer:

3h³k² + 18h³k + 27h³

Step-by-step explanation:

Given

3h³(k + 3)² ← expand factor using FOIL

= 3h³(k² + 6k + 9) ← distribute parenthesis

= 3h³k² + 18h³k + 27h³

What’s the
mean
Median
Mode
To this question up there

Answers

Answer:

mean: 4.5 (1dp)

median: 4

mode: 6

Step-by-step explanation:

mean:

0 + 1 + 1 + 2 + 2 + 2 + 2 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 6 + 6 + 6 + 6 + 6 + 7 + 8 + 8 + 9 + 10 = 113

113 divided by 25 = 4.52, or just 4.5 (rounded to one decimal place

median:

(middle) = 4

mode:

(most occurring) = 6

Hi teh pede ba aq paturo sa math

Stephanie earns $4,000 a month, plus a 10% commission on everything she sells. If during one month, she sold $50,000 worth of product, what was her salary for that month?

$9,000

$4,000

$5,000

$6,500

Answers

It would be 9,000
She got 4 thousand a month and added from the 10% so it’s 9,00 for the month I hope this helped

Can anyone help me on this I would appreciate it

Answers

Answer:

14

Step-by-step explanation:

Triangle=180

180-90 (RA) = 90

90-41= 39

(2x+11)=39

2x=28

x=14

Insee its finna be 14

Hola necesito la respuesta a esta pregunta: 1) En la definición de potencia, la base: * a) corresponde al número de veces que se repite la base como factor b) corresponde al número que se multiplica por si mismo c) Corresponde a un número que se multiplica por otro d) Corresponde a un número que se suma varias veces

Answers

Answer:

B. Corresponde al número que se multiplica por sí mismo.

Step-by-step explanation:

Matemáticamente hablando, la base de una potencia se refiere a un número que se multiplica por si mismo por el número de veces definido por el exponente. En consecuencia, la respuesta es B.

Acircle with radius of 2 cm sits inside a llcm x 12 cm
rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.

Answers

Meowing meow meow explain: meow meow

Answer:

119.4

Step-by-step explanation:

The Area of the Rectangle : 132 cm

Area of the Circle : 12.6 cm

Shade=  MINUS - 132 cm  - 12.5 cm = 119.4!

Happy To Help! :)

1250 people visit a certain website every day. At this rate, how many visitors will the site receive in a week?

Answers

Answer:

8750 people

Step-by-step explanation:

1250 * 7   (7 days in a week)

8750 people

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

A group of friends wants to go to the amusement park. They have $363 to spend on
parking and admission. Parking is $5.50, and tickets cost $35.75 per person,
including tax. How many people can go to the amusement park?

Answers

Answer:

10 people can go to the amusement park

Step-by-step explanation:

363 - 5.50 = 357.5

357.5 / 35.75 = 10

PLS ANSWER ASAP DUE 9:35

Answers

Answer:

c) 72

hope this helps!

please give brainiest<3

Answer:

72

Step-by-step explanation:

Substitution:

4^3 + 4 x 6 - 16

64+24-16=72

5. A gallon of paint covers 300 square feet.
How many gallons must be bought to cover a room with two 25' by 12' walls and
two 20' by 12' walls?

Answers

Step-by-step explanation:

wall 25×12=300

2 walls = 600

wall2 20×12=240

2 wall2= 480

600+480= 1080 sq ft

The number of gallons that must be bought to cover a room with two 25' by 12' walls and two 20' by 12' walls is 3.6 gallon

What is area of rectangle ?

"Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides."

Given,

A gallon of paints covers 300 square feet.

Area of the first two walls is [tex]2*25*12[/tex] = 600 square feet

Area of the second two walls is [tex]2*20*12[/tex] = 480 square feet

Total area of the room is = 480+600 = 1080 square feet

The paint required for 1 feet is = 1/300

So, the paint required for 1080 feet is = 1080/300 =3.6

Hence, the paint required to cover the entire room is = 3.6 gallon

To know more about area of rectangle here

https://brainly.com/question/21982865

#SPJ2

Find the equation of the line that is perpendicular to the line
y = x-9 and passes through the point (7,9).

Answers

Answer:

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

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)

1) Determine the slope (m)

y=x-9

Rewrite the equation

y=1x-9

Now, we can identify clearly that the slope of the line is 1. The negative reciprocal of 1 is -1, so therefore, the slope of a perpendicular line would be -1. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-1x+b\\y=-x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-x+b[/tex]

Plug in the given point (7,9) and solve for b

[tex]9=-7+b[/tex]

Add 7 to both sides to isolate b

[tex]9+7=-7+b+7\\16=b[/tex]

Therefore, the y-intercept is 16. Plug this back into [tex]y=-x+b[/tex]:

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

I hope this helps!

3eeeeeeeeeeeeeeeeeeeeeeeeeeeereeeee

Answers

Answer:

>

Step-by-step explanation:

8/3=8.6666666667 which is greater than 2.666

Joseph has 22 gallons of fertilizer. He uses 7 quarts to fertilize his plants.

How many quarts of fertilizer are left?

Answers

Joseph would have 81 quarts of fertilizer left

The solution is:

48.6 quart of fertilizer is the total fertilizer will Alan need for his two fields.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

The directions say to use 4/5 of a quart of fertilizer for each acre of land.

Alan has two fields,

Field 1

22 1/2 acre of land

1 acre of land = 4/5 quart

22 1/2 acre of land = x

Cross Multiply

x = 22 1/2 × 4/5

x = 45/2 × 4/5

x = 18 quart of fertilizer

Field 2

38 1/4 acres of land

1 acre of land = 4/5 quart

38 1/4 acre of land = x

Cross Multiply

x = 38 1/4 × 4/5

x = 153/4 × 4/5

x = 30.6 quart of fertilizer

The total fertilizer that Alan will need for his two fields is calculated as:

18 quart of fertilizer + 30.6 quart of fertilizer

= 48.6 quart of fertilizer

Hence, 48.6 quart of fertilizer is the total fertilizer will Alan need for his two fields.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ3

complete question :

alan is spreading fertilizer on a field to get it ready for planting. The directions say to use 4/5 of a quart of fertilizer for each acre of land. Alan has two fields, one that is 22 1/2 and one that is 38 1/4. How much total fertilizer will Alan need for his two fields?

if a dice is rolled 240 times how many times do you think it will land on each number?​

Answers

Answer:

being they all have the same amount of chances to be rolled on the same amount  i would say 40

Step-by-step explanation:

what is the solution to x^2 + 6x + 7

Answers

Answer:

x2+6x+7

Step-by-step explanation:

there are no like terms

i think you are missing something in your question (like the equal sign?)

reply in comment so i can help:)

a right triangle has legs of lengths 7 and 2, what is the length of the hypotenuse to the nearest tenth

Answers

Answer:

hypotenuse = 7.3

Step-by-step explanation:

here 7 and 2 are the legs og the right triangle .we should find hypotenuse.

let the legs of the right triangle be a nd b respectively . And c be hypotenuse

using pythagoras theorem to find hypotenuse

a^2 + b^2 = c^2

7^2 + 2^2 = c^2

49 + 4 = c^2

53 = c^2

[tex]\sqrt{53}[/tex] = c

7.28 = c

7.3 =c

Answer:

7.3

Step-by-step explanation:

[tex]7^{2} + 2^{2} = x^{2} \\ 53 = x^{2}\\\sqrt{53} = \sqrt{x^{2}} \\x = 7.3[/tex]

An ABC News Poll in 2004 surveyed 1,501 randomly selected U.S. adults and asked if they believed it is more enjoyable to be married or single. In the survey, 75% of the people responded that they believed it is more enjoyable to be married than single. Choose the correct interpretation for the 98% confidence interval for the population proportion.

a. We are 98% confident that the proportion of adults in the United States who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.

b. We are 98% confident the proportion of adults polled who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.

c. In 98% of all samples, the proportion of adults polled who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.

d. The proportion of adults in the United States who believe it more enjoyable to be married than single is between 0.7250 and 0.7770.

Answers

Answer:

(a). We are 98% confident that the proportion of adults in the United States who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.

Step-by-step explanation:

According To the Question,

Given, An ABC News Poll in 2004 surveyed 1,501 randomly selected U.S. adults and asked if they believed it is more enjoyable to be married or single. In the survey, 75% of the people responded that they believed it is more enjoyable to be married than single. The interpretation for the 98% confidence interval for the population proportion is in Option A.

Find the area of the shaded sector

Answers

Answer:

888

Step-by-step explanation:

Im pretty sure this is the answer, if helpful please mark me as brainiest :>

4
7
of students at a school are boys. If there are 2184 students at the school, how many are girls?

Answers

Answer:

936 girls at the school

Step-by-step explanation:

4/7 of 2184 = 1248

2184-1248 = 936

Happy learning! Please mark brainliest!

--Applepi101

HELP PLEASE, AND FAST THANKS

Answers

Answer: U'(1,7)      G'(7,1)

A bag contains 5 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?

Answers

Answer:

.094

Step-by-step explanation:

5/11 is .455

11 total marbles 5 are green

but thats the probability of just one draw

so .455 x .455 x .455 is .094 for three separate draws

What is the solution to the linear equation? 2/5 + p = 4/5 + 3/5p ​

Answers

Answer:

p=1

Step-by-step explanation:

2/5 + p = 4/5 + 3/5p

Multiply each side by 5 to clear the fractions

5(2/5 + p) = 5(4/5 + 3/5p)

2 +5p = 4 + 3p

Subtract 3p from each side

2+5p-3p = 4+3p-3p

2+2p = 4

Subtract 2 from each side

2+2p -2 = 4-2

2p =2

Divide by 2

2p/2 = 2/2

p=1

[tex]\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}[/tex]

[tex]\sf{\dfrac{2}{5}+p=\dfrac{4}{5}+\dfrac{3p}{5}   }[/tex] 

[tex]\sf{ \dfrac{2}{5}+p=\dfrac{4+3p}{5}   }[/tex] 

[tex]\sf{5(\dfrac{2}{5}+p)=4+3p }[/tex] 

[tex]\sf{ 2+5p=4+3p  }[/tex] 

[tex]\sf{5p-3p=4-2   }[/tex] 

[tex]\sf{ 2p=2  }[/tex] 

[tex]\sf{p=\dfrac{2}{2}   }[/tex] 

[tex]\bold{p=1   }[/tex] 

Someone please help me with this question

Answers

Step-by-step explanation:

f(x) =x²+2

f(5)=5²+2

f(5)= 25+2

f(5)= 27

Select ALL the functions whose graphs include the point (16, 4).

Answers

Answer:

D

Step-by-step explanation:

x=16

y=4

4=16-12

4=4

Answer:

D

Step-by-step explanation:

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