Emily got a new fish tank for her pet betta fish.
The tank is shaped like a rectangular prism that
is 48 centimeters long, 30 centimeters wide,
and 30 centimeters high. She is filling the tank
with water from a faucet flowing at a rate of 7.2
liters, or 7,200 cubic centimeters, per minute.
How many minutes will it take Emily to fill the
tank?
Write your answer as a whole number or
decimal. Do not round.

Answers

Answer 1
Answer:  6 minutes

Explanation:

To start off, we'll need the volume of the fish tank.

Volume of a rectangular block = (length)*(width)*(height)

V = L*W*H

V = 48*30*30

V = 43,200

The volume of the tank is 43,200 cubic cm.

Divide this over the flow rate of 7200 cubic cm per minute to get

(43,200)/(7200) = 6

It will take Emily 6 minutes to completely fill the tank.


Related Questions

Please explain how to solve these!

Answers

Step-by-step explanation:

11.

As all the exterior angles of a pentagon add up to 360, [ because exterior angle of a polygon = n(360/n) where n = no. Of sides, As the number of sides in a pentagon is 5, n=5. Thus, the sum of exterior angles of a pentagon = 5(360°/5) = 360°.]

THEN,

56 + 2x + 85 + 57 + 4x = 360

6x + 198 = 360

6x = 360 - 198

X = 162/6 = 27

Ans : x = 27

12.

Let the missing angle be x,

As we know that all exterior angles in a pentagon add up to 360 ( Write the same thing written above),

Then,

83 + 83 + 26 + 46 + x = 360

238 + x = 360

X= 360 - 238

X = 122

Answer : the fifth exterior angle = 122°

Hope this helps

Josh calculated the mean absolute deviation of the points he earned throughout the year in four of his classes: science math Spanish and art. Science: MAD of 1.14, Math: of 1.6, Spanish: MAD of 1.2 Art: MAD of 1.93 In which class were his scores the closest together?

Answers

Answer:B

Step-by-step explanation: Because the  science math Spanish and art. Science: MAD of 1.14, Math: of 1.6, Spanish: MAD of 1.2 Art: MAD of 1.93 In which class were his scores the closest together

Answer:

spanish

Step-by-step explanation:

What amount of Interest will be charged on $6500 borrowed for 5 months at a simple
Interest rate of 6%

Answers

Answer:

162.50

Step-by-step explanation:

6500 *  5/12 * .06 =

Which expression is equivalent to 4(2n) + n?

A : 8n
B : 9n
C : 6n + n
D : 8n + n

Answers

Answer:

B and D.

Step-by-step explanation:

4(2n) + n

= 8n + n

= 9n.

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✟\:Important\: point's✟ }}}[/tex]

we can easily check whether the given expression is equivalent or not by simply solving the expression by fôllowling algebraic rule

→ Your given expression:- 4(2n)+n

★ Let's solve:-➤4(2n)+n➤distributing 4 with 2n gives you ➤8n+n➤then adding like terms➤9n

Hence option b (9n) is right ans

[tex]\pink{\underline{ \underline{ \boxed{ \sf{✰\: Option.\:B✓ }}}}}[/tex]

Hope it helps !

if sid has 15 mangoes and sera has 6 apples , what is the total number of fruits with sidra ?
[tex] \\ \\ \\ [/tex]
thankyou ~​

Answers

[tex] \huge \mathfrak \red{HeY \: ThErE♡}[/tex]

Given,

No. of mangoes sid has = 15

No. of apples sera has = 6

Therefore, we gonna add them-,-

Total no. of fruits Sidra will have = 15 + 6 = 21

Therefore,Sidra will have 21 fruits.

[tex] \huge \mathfrak \red{HoPe \: It \: HeLpS♤}[/tex]

Calculate the distance between the points G=(-2, 2) and C = (5, -1) in the coordinate plane.
=
Give an exact answer (not a decimal approximation).

Answers

Answer: sqrt(58)

Step-by-step explanation:

Year Speed 1 38 2 46 3 52 4 57 5 61 3) During which time period was the ANNUAL rate of increase of the speed the GREATEST? HELP FAST
A) from year 1 to year 2
B) from year 1 to year 3
C) from year 1 to year 4
D) from year 1 to year 5

Answers

Answer: A) from year 1 to year 2

Step-by-step explanation: subtract 46-38=8, I also just took the K12 test and got it right.

Answer:

A) from year 1 to year 2

Step-by-step explanation:

Hii can you help me? 6/2(1+2)
I really stink at math :(

Answers

Answer:

6/2(1+2)

First lets simplify whats in the parentheses

6/2(3)

So thats 6/2 * 3

6/2 = 3

3*3 =

9

Answer:

9

Step-by-step explanation:

first, you do (1+2) which is 3 and then you do 6/2 which is 3 then 3x3 is 9

The hopper bin in the picture below is modeled by the two-dimensional figure beside it. The hopper bin is
composed of a cylinder, and 2 EQUAL cones. Let d be the center of the base of the cone.
52° cylinder cones
The diameter of the hopper is 36 ft and the height of the cylindrical portion is 20 ft. The measure of the acute
angle formed by the slant height of the cone and its base is 52°, determine and state, to the nearest cubic foot,
the volume of the hopper bin.
The hopper bin was constructed to hold a maximum of 500,000 pounds of feed. If feed weighs 22 pounds per cubic foot, can the carnival tent be filled to 85% of its volume and not exceed the weight limit? Justify your
answer.

Answers

The volume of the hopper bin is the amount of feed in it

The volume of the hopper bin is 35974 cubic feetThe carnival tent can be filled to 85% of its volume and not exceed the weight limit

The volume of the hopper bin

The given parameters are:

Height of cylinder, H = 20 ftDiameter of cylinder, D = 36 feetAngle, θ = 52°

Start by calculating the radius (r) of the cones.

r = D/2 -------- because the cones and the cylinder have equal diameters.

So, we have:

r = 36/2 = 18

The height (h) of the cones is:

tan(θ) = h/r

This gives

tan(52) = h/18

Make h the subject

h = 18 * tan(52)

Evaluate

h = 23.04

The volume is then calculated as:

Volume = Volume of cylinder + 2 * Volume of cone

This gives

Volume = πr^2H + 2 * 1/3πr^2h

Volume = πr^2H + 2/3πr^2h

Factor out πr^2

Volume = πr^2(H + 2/3h)

Substitute known values

Volume = 3.14 * 18^2 * (20 + 2/3 * 23.04)

Evaluate

Volume = 35973.85 cubic feet

Hence, the volume of the hopper bin is 35974 cubic feet

The weight limit of the hopper bin

The given parameters are:

Maximum weight = 500000 poundsFeed weight = 22 pounds per cubic feet

For a feed that weighs 22 pounds per cubic feet, the weight of the hopper bin would be:

Weight = 22 * 35974 pounds

Weight = 791428 pounds

At 85% full, the weight wuld be:

Weight = 85% * 791428 pounds

Weight = 672713.8 pounds

672713.8 pounds is greater than the weight limit of 500000 pounds.

Hence, the carnival tent can be filled to 85% of its volume and not exceed the weight limit

Read more about volumes at:

https://brainly.com/question/3989169

Please help I'll mark brainliest ​

Answers

Answer:

The gods

Step-by-step explanation:

Heroes in Greek Mythology were men or women of special strength, courage, or ability. They were often of divine ancestry and noted for superhuman courageous acts.

What makes a hero in Greek Mythology?

   Having one immortal parent.    Being born into royalty.    Having an unusual conception or birth.    Being favored by the gods.    Being the subject of a prophesy.    Being abandoned at birth or while very young.    Performing an amazing feat at a young age.    Going on a quest.

can someone help me super quick?
subject is stretching/reflecting quadratic functions

Answers

If you know what y = x², you can make the parabola more narrow by scaling this by some constant greater than 1 or smaller than -1. For example, y = 2x² or y = -5x². Note that if you pick a negative constant, you would end up reflecting the parabola across the horizontal axis.

To get a wider graph, you would instead scale by some constant between -1 and 1. For example, y = -1/2 x² (scaling by -1/2, or equivalently scaling by 1/2 and reflecting).

Taking the aformentioned details together, you can (1) reflect and (2) narrow the graph by multiplying y = 3x² by a negative constant larger than 1 in magnitude. For example, y = -15x², where we scale by -5.

What is the perimeter?

Answers

Answer:

i believe your answer is 41,

Step-by-step explanation:

because to find perimeter, you simply have to add up all of the sides unlike area where you have to multiply, giving you 18+18+2+2=41 for your answer

Answer:

41

Step-by-step explanation:

add up all the sides total to 41

can someone help with this please

Answers

Y=mx+b form:

y<2/5x+2

y ≥ -1/2x+3

I forgot how to do the inequalities :)

Step-by-step explanation:

A coin is flipped 8 times. Find the probability of the event: exactly 5 heads a. 0.625 b. 0.03125 c. 0.219 d. 0.0039

Answers

The probability of the event of getting exactly 5 heads in 8 tosses of a coin(assuming unbiased coin) is given by: Option C: 0.219 (approximately).

How to find that a given condition can be modeled by binomial distribution?

Binomial distributions consists of n independent Bernoulli trials.

Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

The expected value and variance of X are:

[tex]E(X) = np\\ Var(X) = np(1-p)[/tex]

For this case, we've got:

A coin is flipped 8 times.To find: P(getting exactly 5 heads)

Each coin flip is a bernoulli distribution as it has two possible outcomes (assuming any other outcome like coin landing standing straight etc ignored). Take success = getting head in a flip, and failure = not getting success= not getting head = getting tail as the outcome of the flip.

Now, each of those 8 flips are independent in terms of result of each other (assuming coin stays unbiased).

If we take:

X = number of heads out of those 8 flips = number of successes in those 8 bernoulli trials, then:

[tex]X \sim B(n = 8, p)[/tex]

where p is the probability of success = P(Getting head in an unbiased coin with head or tail as only possible outcomes) = 1/2 = 0.5 (as head can come in 1 way, and total outcomes is 2, all equally likely).

Thus, we get:

[tex]X \sim B(n = 8, p=0.5)[/tex]

Now, P(Exactly 5 heads in those 8 flips) = P(X = 5)

Using the probability function of the binomial distribution, we get:

[tex]P(X = 5) = \: ^8C_5(0.5)^5(0.5)^{8-5} = \dfrac{8\times 7\times 6\times 5\times 4}{5 \times 4 \times 3\times 2 \times 1} \times (0.5)^8 \approx 0.219[/tex]

Thus, the probability of the event of getting exactly 5 heads in 8 tosses of a coin(assuming unbiased coin) is given by: Option C: 0.219 (approximately).

Learn more about binomial distribution here:

https://brainly.com/question/13609688

#SPJ1

A camera has a listed price of 643.99 before tax. If the sales tax rate is 9.75%, find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.

Answers

Answer: $1,271.88

Step-by-step explanation:

        The total cost of the camera with sales tax included will be 100% plus our sales tax:

100% + 9.75% = 109.75%

       

        Dividing a percent (%) by 100 gives us a decimal:

109.75% / 100 = 1.975

        We can multiply this decimal by the listed price of the camera to find our answer

643.99 * 1.975 = $1,271.88

     The camera will cost $1,271.88 with sales tax.

x= -1/8y2
The focus of the parabola is:
O (0, -2)
O (2, 0)
O (-2, 0)

Answers

x=-1/8y²

Interchange x and y

y=-1/8x²

Compare to Vertex form y=a(x-h)²+k

a=-1/8

Now

1/4a1/4(-1/8)-2

.So

Focus (-2,0)

Answer:

(-2, 0)

Step-by-step explanation:

Standard form of a parabola with a horizontal axis of symmetry:

[tex](y-k)^2=4p(x-h)\quad \textsf{where}\:p\neq 0[/tex]

[tex]\textsf{Vertex}=(h, k)[/tex]

[tex]\textsf{Focus}=(h+p,k)[/tex]

Given equation:

[tex]x=-\dfrac18y^2[/tex]

Rewrite in standard form:

[tex]\implies (x-0)=-\dfrac18(y-0)^2[/tex]

[tex]\implies -8(x-0)=(y-0)^2[/tex]

[tex]\implies (y-0)^2=-8(x-0)[/tex]

Comparing with the general standard form:

k = 0h = 04p = -8 ⇒ p = -2

Therefore:

[tex]\textsf{Vertex }(h,k)=(0,0)[/tex]

[tex]\textsf{Focus }(h+p,k)=(0-2,0)=(-2,0)[/tex]

The area of a triangle is 273 square centimeters. If the base is 21 centimeters what is the height?

Answers

Th anwse is d) :B k .............



Richard owns a restaurant. He needs to buy at least 300 glasses. Tall glasses cost $2.50. Short glasses
cost $2.10. He can spend at most $670. Which system of inequalities can Richard use to find the possible
numbers of tall glasses, I, and short glasses, s, he can buy?

Answers

Answer:

l+s≥300

2.5l+2.1s≤670

Step-by-step explanation:

In a class of 28 students, 16 play an instrument and 11 play a sport. There are
7 students who do not play an instrument or a sport. What is the probability
that a student plays an instrument given that they play a sport?

Answers

Answer: 6/11

Step-by-step explanation:

28 - 7 = 21

16 + 11 - 21 = 6

11 - 6 = 5

16-6 = 10

10 + 5 15

P (a) = 16/28

p (b) = 11/28

A I B = 6/28/11/28 = 6/11

compare 2 1/4 ? 3 1/4
A) >
B) <
C) =

Answers

Answer:

B

Step-by-step explanation:

EZ

What us the value of x? This question is pretty easy…. My brain has just given out!

Answers

Answer: 10

Step-by-step explanation:

PLEASE ANSWER AS SOON AS POSSIBLE WILL GIVE "Brainliest" TO THE FIRST CORRECT PERSON!!!

Find the area of the figure. Round your answer to the nearest tenth.


The area is about ___square meters.

Answers

Answer:

17.3

Step-by-step explanation:

area of paralellogram=base x height

height=sin(60) x 4= [tex]2\sqrt{3}[/tex]

area = 5 x [tex]2\sqrt{3}[/tex]

        = [tex]10\sqrt{3}[/tex] = 17.3(to nearest tenth)

The table of values represents a continuous function. Which type of function describes g(x)?
Rational
Polynomial
Logarithmic
Exponential

Answers

A logarithimic function is a function of the sort; loga(a^x) = x. The function that is described by g(x) is a logarithmic function.

What is a lograithimic function?

A logarithimic function is a function of the sort; loga(a^x) = x. We now have to look at this table to ascertain of this condition is met.

Given this condition, we can see that each of the entries in the table satisfies this basic criterion of a logarithmic function hence, the function that is described by g(x) is a logarithmic function.

Learn more about logarithmic function: https://brainly.com/question/14356798

Answer:

Exponential

Step-by-step explanation:

The function g(x) described by the given table of values is most likely an exponential function because x increases by a constant factor and the values of g(x) increase or decrease by a consistent factor. This behavior aligns with the characteristics of an exponential function, where the variable x appears in the exponent. I put polynomial as my answer on the test and got it incorrect and then realized the answer was exponential.

Match the verbal expression (term) with its algebraic expression (definition).

Match Term Definition
Four less than an unknown value A) y − 4
Quotient of a variable and four B) b + 4
Some number to the power of four C) a4
Four times an unknown value D) 4x
Four more than some number E) z ÷ 4

Answers

A) y − 4

Four less than an unknown value

B) b + 4

Four more than some number

C) a^4

Some number to the power of four

D) 4x

Four times an unknown value

E) z ÷ 4 =

Quotient of a variable and four

Please solve with explanation high points

Answers

Answer:

Step-by-step explanation:

(x+y)/2 - (x-y)/6 = 16

x/3 + (x+2y)/3 = 14

Multiply first equation by 6

3(x+y) - (x - y) = 96

2x + 4y = 96

x + 2y = 48       (A)

Multiply second equation by 3

x  + x + 2y = 42

x + y = 21         (B)

Subtract  A - B:-

y = 27

So:

x + 27 = 21

x = -6.

The quadratic relation

is f(x) = a(x - 27)(x + 6)

=   a(x^2 - 21x - 162)     where a is some constant

Vertex form:

f(x) = a[(x - 10.5)^2 - 110.25 - 162]  

f(x)  = a[(x - 10.5)^2 - 272.25]

f(x) = a[(x - 10.5)^2 -  272.25a.

Show that the set a = (1, 2, 1); b = (0, 1, 0); c = (-2, 0, 2) is linearly dependent.​

Answers

By definition of linear independence, the vectors in the set {a, b, c} are independent if

[tex]k_1\vec a+k_2\vec b+k_3\vec c=\vec0[/tex]

can only be obtained with the choice of k₁ = k₂ = k₃ = 0.

This vector equation corresponds to the system of linear equations

[tex]\begin{cases}k_1 - 2k_3 = 0 \\ 2k_1 + k_2 = 0 \\ k_1 + 2k_3 = 0\end{cases}[/tex]

The first equation says k₁ = 2 k₃, while the third one says k₁ = -2 k₃. This can only be possible if k₁ = k₃ = 0, and from the second equation it follows that k₂ = 0. So the given set is linearly independent (and *not* dependent).

Suppose the dimensions of a rectangle with a perimeter of 18 inches are quadrupled. Find the perimeter of the new rectangle in inches

Answers

The new perimeter of the rectangle if the dimensions are quadrupled would be 72 inches.

What are the side lengths of the first triangle?

The perimeter is always obtained by adding all the sides. This means the possible side lengths of the original rectangle are:

5 inches + 5 inches + 4 inches + 4 inches

What are the side lengths of the new triangle?

5 inches x 4 = 20 inches

4 iches x 4 = 16 inches

What is the new perimeter?

20 + 20 + 16 +16= =72 inches

Learn more about perimeter in: https://brainly.com/question/6465134

A politician wants to estimate the proportion of constituents favouring a controversial piece of proposed legislation. Suppose that a 99% confidence interval that extends at most 0.05 on each side of the sample proportion is required. How many sample observations are needed?

Answers

Answer:

I pressed this by an accident

26. The solutions given by the quadratic formula are
integers. (1 point)

O sometimes
O always
O never

Answers

Sometimes because a integer is a whole number (not a fraction or decimal)

If you solve a quadratic equation then you can get both integers and fractions/decimals

Help help help math math

Answers

Answer:

5a + 1

Step-by-step explanation:

3a + 2a = 5a

2 - 1 = 1

So now we rewrite the problem.

5a + 1

combine like variables and combine whole numbers

2+3a-1+2a

2-1 is 1

and 3a+2a is 5a

so this is 5a+1

Hope this helped

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