it is expected that 563 quadrillion thermal units of Btu (British thermal units) of energy will be
consumed worldwide in 2015. In 2003, worldwide consumption was 421 quadrillion Btu. What is the
expected rate of change in consumption from 2003 to 2015? (what is rate of change?)

Answer: $32

Step-by-step explanation:

From the information given in the question, we are told that the ratio of the amount of the student with the most money to the student with the least money was 4:1. If the student with the most money has $128.

This shows that the student with most money has quadruple that is 4× the student with the least money. Therefore, the student will least money will have:

= $128/4

= $32

Answer:

D

Step-by-step explanation:

Edge 2020-2021

The quadratic equation {y = - 16t² + 202.5} correctly represents the given graph.

A quadratic equation is of the form -

f(x) = ax² + bx + c

Given is the graph as shown in the image attached.

The graph given in the image is correctly represented by the quadratic equation -

y = - 16t² + 202.5

Due to the negative coefficient of {a}, it opens downwards. The [y] intercept is at 202.5.

Therefore, the  quadratic equation {y = - 16t² + 202.5} correctly represents the given graph.

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Answer:

270

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

Answer:

X=0 to x =1

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = (20 + 12)/2

x = 32/2

x = 16

Answer:

17

Step-by-step explanation:

Answer:

65 oop

Step-by-step explanation: o0iiutdgc vhy

Answer:

The answer is 5/6

Step-by-step explanation:

7/12 + 3/12 = 10/12

10/12 = 5/6 ( divide the numerator and denominator by 2)

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[tex] { - a}^{3} . {b}^{3} = ( { - a \times b})^{3} = ( { - ab})^{3} \\ [/tex]

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Answer:

h (1,2), w (3,4), y (6,0)

Step-by-step explanation:

Reflecting across y-axis means only changing the x -value between negative and positive. Flipping the sign

Answer:

y= -6

Step-by-step explanation:

-4y - 20 + 19 = -y + 17        *add y on the right to get rid of -y

+y                    +y                then add it to -4y

-3y - 20 + 19 = 17               *add 20 to the left to get rid of -20  

     +20           +20              then add it to 17

-3y + 19 = 37                      *subtract 19 from the left to get rid of 19

       -19    -19                      then subtrcat 19 from 37 as well

-3y = 18                             *now we want to divide both sides by -3 to

-3      -3                               get y by it's self

y = -6                                *no we're left with y = -6 :D

- im sorry if this doesn't make sense x(

Answer:

555555

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

576Km:6Hrs

576 divided by 6=96 km

6 divided by 6=1

96km:1hr

96 was the coaches speed limit

km=Kilometers

Hrs=Hours

96>90

yes , the coach break the speed limit and the average speed is 96 km ph

Speed is the time rate at which an object is moving along a path

Given,

A coach travels to the beach which is 576 KM away in 6 hours.

The maximum speed he can travel is speed of 90 kph

We need to check whether the coach breaks the speed limit or not.

Yes he has to break the speed limit because in 6 hours with 90kph he can travel only 540 km. He still needs to travel 36 km.

and the average speed he has to maintain is 576/6

96kmph

Hence, yes the coach break the speed limit and the average speed is 96 km ph

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Answer:

x = - 2, x = 9

Step-by-step explanation:

Given

f(x) = [tex]\frac{x^2-9x}{x^2-7x-18}[/tex]

The denominator of f(x) cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the values that x cannot be.

x² - 7x - 18 = 0

(x - 9)(x + 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 9 = 0 ⇒ x = 9

The excluded values are x = - 2, x = 9

Step-by-step explanation:

let distance travelled be d miles and time be t hours.

d = kt where k is a constant, k ≠ 0

168 = 3k

k = 56

d/t = k

hence it's ratio is 56 : 1 and fraction is 168/3 = 56/1 and fraction with unit is 56miles/hour.

Topic: direct & inverse proportions

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

C

Step-by-step explanation:

I hope this helps!! Feel better

Answer:

i. Yes, Nevan won.

ii. Nevan scored 7464 points.

Step-by-step explanation:

Given: each correct answer = 134 points

           each incorrect answer = -14 points

Since he got 58 questions correctly, then;

His number of points = 134 x 58

                                   = 7772 points

Also, he got 22 incorrect questions, then;

His number of points = -14 x 22

                                   = -308

Nevan's total points = 7772 + (-308)

                                 = 7772 - 308

                                 = 7464

Nevan scored 7464 points.

Nevan won, and also had a total of 7464 points.

Answer:

yes nevan won

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

3x + 1 + x + 14 + 4x + 5 = 180, that is

8x + 20 = 180 ( subtract 20 from both sides )

8x = 160 ( divide both sides by 8 )

x = 20

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[tex] \frac{13x - 37}{2} = 2x + 13 \\ [/tex]

Multiply sides by 2

[tex]2 \times \frac{13x - 37}{2} = 2 \times (2x + 13) \\ [/tex]

[tex]13x - 37 = 4x + 26[/tex]

Subtract sides 4x

[tex] - 4x + 13x - 37 = - 4x + 4x + 26 \\ [/tex]

[tex]9x - 37 = 26[/tex]

Add sides 37

[tex]9x - 37 + 37 = 26 + 37[/tex]

[tex]9x = 63[/tex]

Divide sides by 9

[tex] \frac{9x}{9} = \frac{63}{9} \\ [/tex]

[tex]x = 7[/tex]

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[tex]DE = 2x + 13[/tex]

[tex]DE = 2(7) + 13[/tex]

[tex]DE = 14 + 13[/tex]

[tex]DE = 27[/tex]

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The correct answer is Option four .

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Answer:

A D

Step-by-step explanation:

Since it is a one time fee of 55$, that will be our y intercept.

That allows A and D and F possible answers.

It says 10$ per puzzle and they spent 1245$

So A and D are answers.

Answer:

2  2 /5 =  2.4  =  240 %

Step-by-step explanation:

The number 1 is the same as 1.00 and is the same as 100%.

The number 2, therefore, is the same as 2.00 and the same as 200%

2 /5  can be converted into a decimal by seeing that  2 /5 = 4 /10 .  4 /10 , spoken out loud, is "four tenths" and shows that the decimal is  

0.4 . And  0.4  is the same as 40%.  Which means that  2  2 /5 = 2.4= 240 %

Answer: 45 yards

Step-by-step explanation:

From the question, we are given the information that the plans for a new street show lamp post that are 2.5 inches apart and that the plans use a scale of 0.5 inch = 9 yards,

Since a scale of 0.5 inch = 9 yards is used, the actual distance between the lamp posts will be:

= (2.5inches / 0.5 inches) × 9 yards

= 5 × 9 yards

= 45 yards

Answer:

y=3x-4

Step-by-step explanation:

a slope of 3 means that the equation will definitely start like this

y=3x +/- b

to find b, substitute the coordinates given, so

5=3 x 3 +/- b

5=9 +/- b

5-9=b

-4=b

so the equation would be

y=3x-4

Answer:

(5,-3)

Step-by-step explanation:

0+5 = x

-5+2 = y

hope that can help

Answer:5,-3

Step-by-step explanation:

It’s right

Answer:

THE CORRECT ANSER OF THIS QUESTION IS 5.

Step-by-step explanation:

Here,

a23=6

a12=5

a32=6

Now,

a23+a12-a32

=6+5-6

=5

Answer:

- 3 and - 2

Step-by-step explanation:

y = | x - 3 | - 2

Answer:

1.11/39

Step-by-step explanation: