A public swimming pool that holds 45,000 gallons of water is going to be drained for maintenance at a rate of 100 gallons per minute. The amount of water w (in gallons) in the pool after t minutes is given by the function w = 45,000 - 100t. Graph the function. Identify its domain and range. How much water is in the pool after 60 minutes? How many minutes will it take to empty the pool?

Answers

Answer 1

Answer: for the first question, after an hour there would be 39,000 gallons left and it would take 450 minutes to drain the pool

Step-by-step explanation:

You multiple the minutes with the rate or which the gallons are being drained and subtract it by the total amount,

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Answer 2

We want to get the domain and range, graph, and analyze the given function.

We have the function:

w(t) = 45,000 - 100*t.

First, we want to get the domain and range of the function.

The domain is defined as the possible values of the input, in this case, is the time.

The smallest value of the time is t = 0, and the largest is the value of t such that the pool is empty, so we need to solve:

w(t) = 0 = 45,000 - 100*t

t = 45,000/100 = 450

Then the domain is D = [0, 450]

The range is the set of the possible outputs, the output represents the amount of water in the pool, it goes from full to empty, so the range is:

R = [0, 45,000]

The graph of the function can be seen below.

How much water is in the pool after 60 minutes?

Just replace t by 60 in the equation.

w(60) = 45,000 - 100*60 = 39,000

This is 39,000 gallons of water.

How many minutes will it take to empty the pool?

We already found that it takes 450 minutes.

If you want to learn more, you can read:

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A Public Swimming Pool That Holds 45,000 Gallons Of Water Is Going To Be Drained For Maintenance At A

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Step-by-step explanation:

Answer:

Above what?

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PLEASE HELP!!! WILL MARK BRAINLEST!!
The solution of an equation with two variables, x and y, is:
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3) The set of all ordered pairs, (x,y), that make the equation true
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Find all real square roots of 25

Answers

Answer:

All real square roots of 25 is +5 and -5.

Step-by-step explanation:

When you square root something, you take the positive and negative of the number, so the square root of 25 would be 5 and -5.

When you do 5 times 5, you get 25 and when you do -5 times -5, you get 25 as well, this is why we do the negative as well.

#teamtrees #WAP (Water And Plant)

It is found that all the real square roots of 25 are 5 and -5.

How to find the closest integer less than and greater than the square root of a number?

The function is strictly increasing function for x ≥ 0.

Assuming that all the values of x are ≥ 1, whenever there is increment in the value of 'x', the value of y increases too Perfect square are those integers whose square root is an integer. Let x-a be the closest perfect square less than x, and let x+b be the closest perfect square more than x, then we get: x-a < x < x+b (no perfect square in between x-a and x+b, except possibly x itself).

When we do square root of something, we take the positive and negative of the number, so the square root of 25 would be 5 and -5.

When we do 5 times 5, we will get 25 and when we do -5 times -5, we will get 25 as well, this is why we do the negative as well.

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Nathan measured a line to be 7.4 inches long. If the actual length of the line is 7.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

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Answer:

2.8%

Step-by-step explanation:

(7.4 - 7.2) / 7.2 =

0.2 / 7.2 =

2.7777777777778%

This weekend the hardware store is having a blowout sale, where everything is discounted 40%. A weed eater originally sells for $145. How much will the weed eater cost during the blowout sale?

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Answer:

Step-by-step explanation:

Answer:

$58

Step-by-step explanation:

Solve for a

ab + c = d

c
—-
a= b+ d

b
——-
a= (c+d)

(d-c)
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Bro I literally had a dream about that

Answer:

Step-by-step explanation:

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Correct answers are A and C

Let f be the function with derivative given by f'(x)=cos(2x^2 -1). How many relative extrema does f have on the interval 2 < x < 4?

Answers

It would have 7 because you are looking for the extreme.

Thomas used a can to feel his new fish tank with water. The fish tank holds 11 gallons of water. His can hold 1/5 of a gallon. How many times will Thomas have to feel his canned to put 11 gallons of water in a fish tank?

Answers

Answer:

Step-by-step explanation:

If the can holds 1/5 of a gallon, he will have to fill it up 5 times to fill 1 gallon of the tank. Since the tank holds 11 gallons, he will have to fill up the can 5 × 11 = 55 times.

4 ) Here is an explanation that the angle sum of triangle ABC is 180º.
The reasons for each line are missing.
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Answer:

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g(n) = n² + 2; Find g(3)

Answers

Answer:

11 is the answer

Step-by-step explanation:

1. Write the question.

g(n) = n² + 2; Find g(3)

2. Find and input the numbers into the equation

g(3) = 3² + 2

3² = 9

3. Solve the equation

g(3) = 3² + 2

= 9 + 2

= 11

The answer is 11.

Hope this helped,

Kavitha Banarjee

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In a triangle ABC,AB=5.8 cm BC=4.2cm and CA=3.6cm,name the greatest and smallest angles of the triangle.

Answers

Step-by-step explanation:

c is greatest angle

where as b is smallest

Thanks for the help UwU

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Answer:

a is the answer you are looking for

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation is y = 75x + 250. The y intercept is 250, and it is stated that Carlos bought the phone for $250.

Count by 50 cents up to $4.00. Use dollar notation

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Answer:

1$, $1.50, $2, $2.50, $3, $3.50

Answer:

$1.00, $1.50, $2.00, $2.50, $3.00, $3.50

Step-by-step explanation:

Just add .50 (cents) on every time. When it comes to dollar notation, it should be marked with the dollar sign in front, and then the dollar amount, and then a decimal and the cent amount. The cent amount would be to the hundreths.

Matilda wants to average sales in her café of $1400 per day. During the first 4 days of the week, her sales were $1289, $1498, $1327 and $1510. What does she need her sales for the 5th day of the week to meet her 5-day sales goal?

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Answer

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What is 2-10(7b-2) simplified

Answers

Answer:

-70b+22

Step-by-step explanation:

Simplify each term

apply the distributive property

2-10(7b)-10 *2

multiply 7 by -10

2-70b+-10*-2

multiply -10 by -2

2-70b+20

add 2 and 20

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the slope of (2,11) and (10,4)

Answers

See the attachment...

Answer:

-7/8

Step-by-step explanation:

the formula for calculating slope for the given coordinates is:

(y2-y1)/(x2-x1)

so (2,11) = (x1,y1)

and (10,4) = (x2,y2)

then putting the values in the formula.

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Answer:

75%

Step-by-step explanation:

add them together

9^(x + 2) = 27
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Answer:

x=-.5

Step-by-step explanation:

The slope of the lawn and passing through the points (1,3) and (5,13)

Answers

(13-3)/(5-1)=10/4=5/2

Determine the correlation:
How much you study vs. The grade you get on your test

A- positive correlation
B- negative correlation
C- no correlation

Answers

a - positive correlation

teachers are just like that sometimes man

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Answer:

Step-by-step explanation:

AB:

d = sqrt ( (−5−2)^2 + (−2−(−8))^2)

d = sqrt( (−7)^2 + (6)^2 )

d = sqrt(49+36)

d = sqrt(85)

d = 9.219544

BC:

d = sqrt ( (−7−(-5))^2+(3−(−2))^2 )

d = sqrt( (−2)^2 + (5)^2 )

d = sqrt(4+25)

d = sqrt(29)

d = 5.385165

AC:

d = sqrt ( (−7−(2))^2+(3−(−8))^2 )

d = sqrt( (−9)^2 + (11)^2 )

d = sqrt(81+121)

d = sqrt(202)

d = 14.21267

DE:

d = sqrt ( (−11−(-9))^2+(12−7)^2 )

d = sqrt( (−2)^2 + (5)^2 )

d = sqrt(4+25)

d = sqrt(29)

d = 5.385165

EF:

d = sqrt ( (−2−(-11))^2+(1−12)^2 )

d = sqrt( (9)^2 + (-11)^2 )

d = sqrt(81+121)

d = sqrt(202)

d =14.21267

DF:

d = sqrt ( (−2−(-9))^2+(1−7)^2 )

d = sqrt( (7)^2 + (-6)^2 )

d = sqrt(49+36)

d = sqrt(85)

d = 9.219544

Yes, the triangles are congruent because the lengths are the same.

Factorize:
x^4 - 6x^2 - 27

Answers

x^4 - 6x^2 - 27

Let u = x^2

We know that x^4 = (x^2)^2.

u^2 - 6u - 27

(u - 9)(u + 3)

Now, back-substitite for u.

(x^2 - 9)(x^2 + 3)

The RIGHT SIDE FACTOR is the difference of two squares.

So, x^2 - 9 becomes (x - 3)(x + 3).

(x - 3)(x + 3)^2

Done.

Which expression has a value of 40?
1. 240 divided by 60
2. 2400 divided by 6
3. 2400 divided by 60
4. 2400 divided by 600

Answers

Iffy I igcig ginyyy the killer and white black white green white black black clover black black brown black white white blue red yellow yellow yellow white white red yellow

2400 divided by 60 is equal to 40. The correct option is 3.

To find the expression that has a value of 40, to evaluate each expression:

240 divided by 60:

Divide 240 by 60 is equal to 4.

So, this is incorrect option.

2400 divided by 6:

Divide 2400 by 6 is equal to 400.

So, this is incorrect option.

2400 divided by 60:

Divide 2400 by 60 is equal to 40.

So, this is correct option.

2400 divided by 600:

Divide 2400 by 600 is equal to 4.

So, this is incorrect option.

Hence, out of the four expressions, the third one, 2400 divided by 60, has a value of 40. So the correct answer is 3 (2400 divided by 60).

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help me plz asap now I just need answer question in pic

Answers

I was just about to ask this question

Step-by-step explanation:

Im on this question rn, i need help to :(

Answer: just guess :)

Step-by-step explanation:

5/12 divided by 4/3 = *

Answers

Answer:5/16

Step-by-step explanation:5/12 divided by 4/3 = 5/16

Answer:

5/12 ÷ 4/3 = 5/16

Step-by-step explanation:

5/12÷4/3

= 5/12×3/4

= 5/12 × 3/4

= 15/48

= 15/48 ÷ 3/3 = 5/16

Simplify the expression by combining like terms.
t + 8 + 3t
SHOW YOUR WORK: Use different colors to circle your like terms then use addition/subtraction to combine
them.
*Remember: Variable term goes FIRST!

Answers

Answer:

4t + 8

Step-by-step explanation:

t + 3t = 4t

4t + 8

Answer:

4t+8

Step-by-step explanation:

If you look at your equation t+8+3t you will notice how you have two t parts

part 1: t

part 2: 3t

Since they have the same variable or letter you are able to combine them. When you add them together you get 4t.

Then you just put your 8 back on to the equation! 4t+8

Karen drove 496 miles in 8 hours and then took a break. After the break, she increased her speed by 3 mph. If she travels at the new speed for 5 hours, how far did she travel after the break?

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After the increased speed for 5 hours, she would have traveled 325 miles

What is the image of (-4,-7)(−4,−7) after a reflection over the x-axis?

Answers

Answer:

(-4,7)

Step-by-step explanation:

(-4,-7) is in the bottom left corner on a graph. The x axis goes horizontal so if it reflects it would be at (-4,7)

pls ayuda es para hoy mismo y es un examen

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Answer:

-4

6x+29=5

6x=5-29

6x=-24

x=-4

Answer

es-4

Step-by-step explanation:

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