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?

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...

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:

Answer:

Number 16 is D & 15 is D

Step-by-step explanation:

Answer:

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

Answer:

12     3

24    6

36    9

48    12

Step-by-step explanation:

Answer:

x<-8, x>4

Step-by-step explanation:

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!

Answer:

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

Step-by-step explanation:

Answer:

q=2

Step-by-step explanation:

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

Answer:

q=2

Step-by-step explanation:

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

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!

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!

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

Step-by-step explanation:

x= the extra minutes

y= the total cost

General: y=40+.15x

Western: y=45+.10x

I hope this helps!

Answer:

f(x) = 6x - 4

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST!

Answer:

A) Multiply 8 and 9

Step-by-step explanation:

to find common denominators multiply the two denominators

Answer:

a

Step-by-step explanation:

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

Answer:

1

Step-by-step explanation:

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

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°

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

Answer:

<PKA and <IKR

Step-by-step explanation:

They are across from each other!

Answer: y = 3b

Step-by-step explanation:

Equation of given relationship model is y = 3b.

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

Learn more about equation here:

brainly.com/question/10413253

#SPJ5

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]

Answer:

im not super sure but i think its 70

Step-by-step explanation:

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)

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)

Read more about transformation at:

https://brainly.com/question/4289712

#SPJ2

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

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