Mr. Smith is draining his pool to have it cleaned. At 8:00 A.M., it had 2000 gallons of water and at 11:00 A.M. it had 500 gallons left to drain. What is the rate of change in the amount of water in the pool?

Answers

Answer 1

Answer:

500 gallons per hour

Step-by-step explanation:

rate =2000-500 gallons/ 3hours

      =1500 gallons/3 hours

      =500gallons per hor

Answer 2

Using mathematical operations, we know that the rate of change is 500 gallons of water per hour.

What are mathematical operations?The rules that specify the order in which we should solve an expression involving many operations are known as the order of operations. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction (from left to right). An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.

So, the rate of change:

Hours passed is 3. (11 - 8 = 3)The water decreased after 3 hours is 1500. (2000 - 500 = 1500)

Now, calculate as follows:

Rate of change = 2000 - 500/3Rate of change = 1500/3Rate of change = 500 per hour

Therefore, using mathematical operations, we know that the rate of change is 500 gallons of water per hour.

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Related Questions

k (x) = 6x + 100
k(-5) = ?

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Answer:

im not super sure but i think its 70

Step-by-step explanation:

I think it might be -17.5.

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They are across from each other!

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q=2

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I am not sure but it can't be 0 and its says higher than 1

Answer:

q=2

Step-by-step explanation:

Below is an Algebraic Proof that shows how the expression x(1+y) + y(2+x) is equivalent to x + 2xy + 2y. Some of the steps are labeled with the action or property. Match the following properties in the order they are used in the proof.

Answers

Answer:

Step-by-step explanation:

          Steps                                     Property

x(1 + y) + y(2 + x)                           Given

x + xy + 2y + xy                            Distributive property

x + xy + xy + 2y                            Commutative property of addition

                                                     [a + b = b + a]

x + (xy + xy) + 2y                           Associative property of addition

                                                      [(a + b) + c = a + (b + c)]

x + 2xy + 2y                                  Combine like terms

What value of x makes this true? x/-7=-4.

Answers

Answer:

28

Step-by-step explanation:

-4+-7=28 you just reverse the division problem

Answer:

x/-7=-4

to get rid of -7, multiply -7 on both sides of the equation

(-7)x/-7=-4(-7)

x=28

What is the ratio of 472 and 482?

Answers

236/241 is the answer

Answer:

236:241

Step-by-step explanation:

how i got this is dividing each by a number that can fit into both (i did 2)

i hope this is correct

Help me out real quickkkkkkkkkkk

Answers

Answer:

A) Multiply 8 and 9

Step-by-step explanation:

to find common denominators multiply the two denominators

Answer:

a

Step-by-step explanation:

A cylinder is shown. Which could be the base shape of the cylinder? line non-square rectangle circle square

Answers

Answer:

I believe the answer the 3rd option because a cylinder is a closed shape and had two parallel lines

Step-by-step explanation:

Answer:

circle

Step-by-step explanation:

took the test :) and cylinder bases are circles so!

HURRY PLEASE!!! I NEED TO TURN THIS IN SOON

i need an explanation too.

Answers

Answer:

X = 30°, y = 15° and z = 150°.

Reason: Look below.

Step-by-step explanation:

Hey there!

When we look into the figure, we find that;

For x:

x+ 2x + 90° = 180° {Being linear pair}

or, 3x = 180°-90°

or, 3x = 90°

or, x= 90°/3

Therefore, X = 30°.

For y :

2y = x = 30° {Alternate angles are equal}

or, 2y = 30°

y = 30°/2

Therefore, y = 15°

For z:

2y + z = 180° { Being linear pair}

or, 30°+z = 180°

or, z = 180°-30°

or, z = 150°

Therefore, z = 150°.

Hope it helps...

can somebody find the domain for this

Answers

Look at the x values
Domain : x<-8, x>4

Answer:

x<-8, x>4

Step-by-step explanation:

What is a reasonable approximation for angle be if the ratio of the adjacent leg divided by the hypotenuse is .45

Answers

Answer:

1

Step-by-step explanation:

3
DO NOW:
Which one does
not belong and
why?
1:7 2:14
Answer
3:11 7:49
Students, write your responsel
Pear Deck Interactive side
Do not rere

Answers

What are u asking can u be more specific or maybe add a picture?

Mr Noris wrote a doubles fact. It has a sum greater than 6. The number that he added are each less than 6. What fact might he have written?

Answers

6 facts on what it’s about?

9514 1404 393

Answer:

  4 + 4 = 8

  5 + 5 = 10

Step-by-step explanation:

If we assume Mr Noris restricted himself to integer facts, we require both ...

  2n > 6

  n < 6

Dividing the first inequality by 2 gives ...

  n > 3

Writing the two inequalities as a compound inequality, we have ...

  3 < n < 6

There are two integers that satisfy this requirement:

  n = 4 or n = 5

So, the doubles fact could have been either of ...

  4 + 4 = 8

  5 + 5 = 10

Enter the correct answer in the box.
Facundo crochets and sells baby blankets, b. Each blanket requires 3 skeins of yarn, and the total number of skeins Facundo uses, y, varies
directly as the number of blankets he crochets, b.
Write an equation that models this relationship.

Answers

Answer: y = 3b

Step-by-step explanation:

Equation of given relationship model is y = 3b.

What is equation?

Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.

Given,

∵ each blanket requires 3 skeins of yarn

∴ b blanket requires 3b skeins of yarn

Total number of skeins = y = 3b

Hence, y = 3b

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What is the value of the product (3 - 2i)(3+2i)?

Answers

Answer:

13

Step-by-step explanation:

1. Distribute each term in the first binomial to each term in the second binomial, FOIL (first, outer, inner, last)

(3 - 2i) (3 + 2i)

9 + 6i - 6i - [tex]4i^{2}[/tex]

2. Simplify

9 - [tex]4i^{2}[/tex]

3. Solve for i. [tex]i^{2}[/tex] = -1

9 - 4 (-1)

9 + 4 = 13

hope this helps!

Mountain climber Joe climbed to a mountain peak that was1200 feet above its base and 1500 feet east of its base. Mountain climber Bob climbed to a mountain peak that was 900 feet above its base and 1000 feet east of its base.

Who climbed a steeper mountain? Explain.

Answers

Answer:

Mountain climber Joe climbed the steepest mountain

Step-by-step explanation:

In order to figure out who climbed the mountain you have to solve using the puthagreom theorem a squared + b squared = c squared

In this case you have multiply 12000 by 2 to replace a squared, you multiply 1500 by 2 to replace b squared and you leave c squared

Once you have that add the two numbers together, 2400+3000, this equals 5400

now you have 5400 = c squared, to solve you have to find the square root of 5400 giving you the rounded number of 73.48=c

After you have completed do the exact same thing with Mountain climber Bob. This gives you the rounded number of 61.64.

therefore, mountain climber Joe has climbed the steepest hill

i think bob climbed the steeper mountain

1. The probability of telesales representative making a sale on a customer call is 0.15.

Representatives are required to achieve a mean of at least 5 sales each day.
(C) Find the least number oftcalls each day a representative should make to achieve this
requirement

(d) Calculate the least number of calls that need to be made by a representative for the
probability of at least 1 sale to exceed 0.95

Answers

Answer:

1c

 [tex]n = 33[/tex]

1d

 [tex]n = 19[/tex]

Step-by-step explanation:

From the question we are told that

   The  probability of telesales representative making a sale on a customer call is  [tex]p = 0.15[/tex]

     The mean is  [tex]\mu = 5[/tex]

Generally the distribution of sales call  made by a  telesales representative follows a binomial distribution  

i.e  

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

and the probability distribution function for binomial  distribution is  

      [tex]P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}[/tex]

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the mean is mathematically represented as

     [tex]\mu = n* p[/tex]

=>  [tex]5= n * 0.15[/tex]

=>  [tex]n = 33[/tex]

Generally the least number of calls that need to be made by a representative for the  probability of at least 1 sale to exceed 0.95 is mathematically represented as

      [tex]P( X \ge 1) = 1 - P( X < 1 ) > 0.95[/tex]

=>    [tex]P( X \ge 1) = 1 - P( X =0 ) > 0.95[/tex]

=>    [tex]P( X \ge 1) = 1 - [ ^{n}C_0 *  (0.15 )^0 *  (1- 0.15)^{n-0}] > 0.95[/tex]

=>    [tex] 1 - [1  *  1*  (0.85)^{n}] > 0.95[/tex]

=>    [tex]  [(0.85)^{n}] > 0.05[/tex]

taking natural  log of both sides

[tex]n = \frac{ln(0.05)}{ln(0.85)}[/tex]

=>  [tex]n = 19[/tex]

I just need help on the first one.

Answers

Step-by-step explanation:

x= the extra minutes

y= the total cost

General: y=40+.15x

Western: y=45+.10x

I hope this helps!

Jack wants to buy a pair of trousers for $60. When he went to the store he found that the price was marked down by 20%. How much do they cost now?

Answers

Answer:  They would cost 48 dollars

Step-by-step explanation:

Answer:

$48

Step-by-step explanation:

You know that it costs $60 and it is marked DOWN by 20%. Therefore, you want to find 20% of 60 which is 12. Then, you subtract $12 from the original amount to get the cost now.

Ways to find 20% of 60

1/5 times 602 times 6

Idk what to say but I need help

Answers

Answer:

12     3

24    6

36    9

48    12

Step-by-step explanation:

miranda is riding her bicycle she goes from 5m/s to 20m/s over a period of 30 seconds at. what rate what is her acceleration​

Answers

Step-by-step explanation:

Acceleration= (final velocity - initial velocity)/ time

= v-u/t

v = 20m/s

u = 5m/s

t= 30s

= 20-5/30

= 15/30

= 0.5ms^-2

Need help it’s due in 10 minutes please help

Answers

Answer:

3x°

Step-by-step explanation:

50°+2x°+3x°=180°

50°+5x°=180°

collect the like terms

5x°=180°-50°

5x°=130°

x°=130°÷5°

x°=26°

2x°=2×26°=52°

3x=3×26°=78°

If one inch represents 65 on a map, then how many inches will represent 2,300 miles?

Answers

Use a ratio using consistent units. Let x = the unknown

1 inch/65 miles = x inches/2300 miles

then, x = 2300/65 = 35.38 inches

15 and 16 pls thank you ASAP ASAP

Answers

Number 16 is D & 15 is D because in number 16 8y can’t equal X but 8 can be in the X&Y’s place. As for number 15 the correct equation is 2y=0-4. Add to 2y and the equation is left with 2y=-4 divide that and you get a positive 2. Pls make my answer the Brainliest, I would rlly appreciate it...Please and Thank You!

Answer:

Number 16 is D & 15 is D

Step-by-step explanation:

Getting stuck on these problems​

Answers

Answer:

im pretty sure it's A but I may be wrong

Which statement correctly describes the expression (-60)(-5)? A. Both factors are negative, so the product will be positive. B. Both factors are negative, so the product will be negative. O C. One factor is positive and one factor is negative, so the product will be negative. D. One factor is positive and one factor is negative, so the product will be positive. SUOMI​

Answers

Answer:

a

Step-by-step explanation:

Answer:

A. Both factors are negative, so the product will be positive

Step-by-step explanation:

Remember negative times negative will always be positive

And use the process of elimination:

You know that negative times negative is not negative so that eliminates B.

And there are two negatives in the equation not one positive and one negative so it is not choice C.

The same concept applies is for choice D.

Hope this helps!

How do I construct this with my compass?

Answers

Answer:

put a point a and extend to point b

Step-by-step explanation:

Answer: put the point on the line in two spots and create a circle. at the top two points draw a line and you have a parallel. put a point in the center then draw a line down.

Step-by-step explanation:

Please help me!!!! 10 POINTS

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Answer:

f(x) = 6x - 4

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST!

I need helpppp
plsssanyoneee

Answers

Answer:

[tex]x^{6}[/tex]/[tex]z^{-1}[/tex]

Step-by-step explanation:

The point (-4, 5) is reflected in the x axis. What are the coordinates of the transformed point?

Answers

Answer:

(4,5)

Step-by-step explanation:

Hehe Hope it helped yu.

The reflection across the x-axis is an illustration of transformation, and the coordinates of the transformed point is (-4,-5)

How to determine the coordinates of the transformed point?

The point is given as:

Point = (-4,5)

The rule of reflection across the x-axis is:

(x,y) -> (x,-y)

So, we have:

(x,y) -> (-4,-5)

Hence, the coordinates of the transformed point is (-4,-5)

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