From 2002 to 2005, U.S. consumption of renewable energy increased an average of 0.17 quadrillion BTUs per year. About 6.07
quadrillion BTUs of rhewable power were produced in the year 2002. Write an equation in slope-intercept form to find the amount of renewable
power Pin quadrillion BTUs produced in year y between 2002 and 2005.

Answers

Answer 1

The linear function is:

[tex]y = 6.07 + 0.17x, 0 \leq x \leq 3[/tex]

The equation of a line, in slope-intercept form, is given by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change.b is the y-intercept, which is the initial value.

In this problem:

Initial value of 6.07  quadrillion BTUs, thus [tex]b = 6.07[/tex]Increased an average of 0.17 quadrillion BTUs per year, thus [tex]m = 0.17[/tex].Between 2002 and 2005, thus, the equation is:

[tex]y = 6.07 + 0.17x, 0 \leq x \leq 3[/tex]

A similar problem is given at https://brainly.com/question/16302622


Related Questions

What is the largest number of sections you can get if you draw 4 straight lines through a circle?

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Answer:

The correct answer is 11 sections.

Step-by-step explanation:

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120 degrees = 3x because of vertical angle theorem.x=40 degrees and then you plug it in to 2x+15=95 degrees and because of vertical angle theorem angle TVZ is equal to 95 degrees

can someone please help

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Answer:

3rd option

Step-by-step explanation:

Substitute x = 0 into f(x) and check if the result is - 6

f(0) = (0 + 1)(0 + 2)(0 + 3) = 1 × 2 × 3 = 6 ≠ - 6

f(0) = (0 + 1)(0 - 2)(0 - 3) = 1 × - 2 × - 3 = 1 × 6 = 6 ≠ - 6

f(0) = (0 - 1)(0 + 2)(0 + 3) = - 1 × 2 × 3 = - 1 × 6 = - 6 ✔

Thus the 3rd option crosses the y- axis at (0, - 6 )

Each face of a pyramid is an isosceles triangle with a 72 degree vertex angle. What are the measures of the base​ angles?

Answers

Answer:

52° and 52°

Step-by-step explanation:

An isosceles triangle has two base angles that are congruent. So let x be the measure of the base angle so that by Triangle Angle-Sum Theorem, we can write: X+X+76=180 and next would be 2X+76=180 and then it would be 2X=104 and finally it would be X=52. So there for the measures of the base angles are 52° and 52°. There hoped it helped!!!!

What value of x would result in the numerical value of zero in the expression?

x+1+(−1)

Answers

Answer:

x = 0

Step-by-step explanation:

Lets make an equation.

x + 1 + (-1) = 0

=> x + 0 = 0

=> x = 0

Kind request:

Please give me brainliest :)

HELPPPPPPPPPPPPPPPPPP

Answers

x²y+2xy²+6x+4

please mark BRAINLIEST!

Answer: The correct answer is B

Step-by-step explanation:

A shopkeeper bought a fan for rupees 840 at what price should he sell it to make a profit of 10% If he makes a loss of 5% by selling at what is the selling price​

Answers

Answer with Step-by-step explanation:

10% of 840 can be found by multiplying 840 by 0.10 (or dividing 840 by 10)

10% of 840 = 84

To make a profit of 84 he needs to sell at 840 + 84 = 924 rs

5% of 840 can be found by multiplying 840 by 0.05 (or dividing 840 by 20)

5% of 840 = 42

To make a loss of 42 he needs to sell at 840 - 42 = 798 rs

Somebody help me please

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15-(12-10)+9
15-2+9
13+9
22

determine the intercepts of the line

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Y intercept is (0, 2.5)
X intercept is (3.5, 0)

How do I calculate a angle that is not named?

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On his last three math tests, Mark scored 85, 95, and 80. What grade must he get on his next test
to have an average of 90 for all four tests? (Write an equation; then solve to find the answer.)

Which of the following could you use to solve this problem?

What is 25% of 37?

=
p = (0.25)37
= w
· 37

Answers

Answer:9.25

Step-by-step explanation:

25% of 37 is 9.25
25%=1/4
37 divided by 4 = 9.25

A child flies a kite at a height of 90 ​ft, the wind carrying the kite horizontally away from the child at a rate of 30 ft/sec. How fast must the child let out the string when the kite is 150 ft away from the​ child?

Answers

By Pythagorean theorem and differential calculus, the child must let out the string when the kite is 150 feet away at a rate of change of 25.725 feet per second.

How to determine the rate of change of the string

The geometric representation of this question is based on the Pythagorean theorem:

l² = x² + y²     (1)

Where:

x - Horizontal distance of the kite from the kite, in feet.y - Height of the kine, in feet.l - Length of the string, in feet.

The rate of change of the length of the string is obtained by differential calculus:

[tex]2 \cdot l \cdot \dot l = 2\cdot x \cdot \dot x[/tex]

[tex]\dot l = \frac{x\cdot \dot x}{l}[/tex]

[tex]\dot l = \frac{x\cdot \dot x}{\sqrt{x^{2}+y^{2}}}[/tex]    (2)

If we know that x = 150 ft, y = 90 ft and [tex]\dot x = 30\,\frac{ft}{s}[/tex], then the rate of change of the length of the string is:

[tex]\dot l = \frac{(150\,ft) \cdot \left(30 \,\frac{ft}{s} \right)}{\sqrt{(150\,ft)^{2}+(90\,ft)^{2}}}[/tex]

[tex]\dot l \approx 25.725\,\frac{ft}{s}[/tex]

By Pythagorean theorem and differential calculus, the child must let out the string when the kite is 150 feet away at a rate of change of 25.725 feet per second.

To learn more on rates of change: https://brainly.com/question/13103052

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Find the measure of each angle indicated
50°
A) 65°
C) 50°
B) 45°
D) 46°

Answers

Answer:

B

Step-by-step explanation:

i estimated this answer

Answer:

= 50, C

Step-by-step explanation:

? = 50

This is because the 50 shown is vertically opposite to the unknown angle, which they are equal

(Vertically opposite angles can be formed between two opposing lines)

01234 4 5 6 7 8
9
A diver descended 43.52 feet in 13.6 minutes. What was the diver's average change in elevation per
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Answers

43.52 / 13.6 = 3.2

the diver’s average change in elevation per minute is 3.2 feet.

2. what equation passes through the 2 points (0,5) and (-12, -1) ​

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Y = 2x + 5 i think???

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Answer:

My answer is 13 units

Step-by-step explanation:

Hope it helps

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Answers

Answer:

y=2x-5

Step-by-step explanation:

1) Factor out the common term 3

3(2x-y)=15

2)Divide both sides by 3

2x-y=15/3

3) Simplify 15/3 to 5

2x-y=5

4) Subtract 2x from both sides

-y=5-2x

5) Multiply both sides by -1

y=-5+2x

6) regroup terms

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You are remodeling your kitchen. You have contacted 2 tiling companies who gladly told you how long it took their workers to tile a floor of a similar size. Jim completed 1/2 the floor in 12 hours, Pete completed the other 1/2 in 10 hours. If Pete can lay 25 more tiles per hour than Jim, what equation would you use to find the rate that Jim can lay tiles? Let x represent Jim's rate.

A. 10x = 12 (x -25)
B. 12x = 10 (x + 25)
C. 10x = 12 (x + 25)
D. 12x = 10 (x - 25)

Answers

Hence, Jim can lay 125 tiles and Pete can lay 25 more so 125+25=150 tiles.

Answer from -chisnau

Please help!!!! i am despite, i will mark brainlyest

Answers

Answer:

x=12

10x = 120

5x = 60

Step-by-step explanation:

paralellograms will become 360 degrees

so 2(5x) +2(10x)= 360

Simplify:

10x + 20x = 360

= 30x

divide both sides by 30 and isolate

30x = 360

30        30

x=12

multiply 12 by 10x and 5x

10x = 120

5x = 60

what is x? -8=-(x+4)

Answers

Answer:

x=4

Step-by-step explanation:

Jason multiplied 1.5 by a power of ten and got 150. What power of ten did he multiply by?

Answers

Answer:

Jason multiplied 1.5 by the whole number 10.

Step-by-step explanation:

As opposed to multiplying 1.5 by the tenth power, in which Jason would've received 57.66503..., he multiplied 1.5 by 10 units, resulting in a product of 150.

Hope this helps!

The power of ten did he multiply by 2.

Given that;

Jason multiplied 1.5 by a power of ten and got 150.

Let us assume that;

The value of power = x

Hence it can be written as,

1.5 × 10ˣ = 150

Divide both sides by 1.5;

10ˣ = 150/1.5

10ˣ = 100

It can be written as,

10ˣ = 10²

This gives,

x = 2

Therefore, the value of power is 2.

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In triangle ABC, AB = 2x cm, AC = x cm, BC = 21 cm and angle BAC = 120°. Calculate the value of x.​

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Answer: here, mark me as brainliest if you want please

Which equation does
NOT represent a direct variation?
A) y= 5x
C) y= 15x
B) y -5x
D) y= 5x+1

Answers

D. Direct variation you do not add another variable.

please explain and give answer

Answers

Angle 1=87°

Angle 2=88°

angle 1+2= 177

Step-by-step explanation:

I believe thsi should be right,

So angle 1 and 87° are the same because of some rule, then the angle above 2 would be 92 because of the same rule and its a straight line so 180-92=88 making angle 2, 88. When you add those it would be 177. Try that

Identify the slope-intercept form and the graph of the line described by the equation 3x − 3y = 15.

Answers

Answer:

The slope-intercept form is y=x-5

The graph is in the picture below

Step-by-step explanation:

To find the slope-intercept you need to move y all by itself:

y=mx+b

subtract 3x on both sides:

-3y=-3x+15

Divide by -3 on both sides:

y=x-5

Hope this helps!

(Why I took two pictures is because to show you that the line is the same even with it being slop-intercept form)

Can I please get help on this I don’t understand it :( BRAINIEST

Answers

It’s 14 because 14 is the Double of 18 so it’s 14

What is the value of x?
12 ft
13 ft
X ft

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14 ft ,im 99 percent sure

Penny reads 11 pages in 1/3 hour. How many pages does she read per hour?

Answers

Answer:

33 pages per hour

Step-by-step explanation:

11 pages=1/3 hour

22 pages=2/3 hour

33 pages= 3/3 hour or 1 hour

find the circumference whose radius is 20cm take 3.14​

Answers

Step-by-step explanation:

please mark me as brainlest

i was absent the day they taught this and my teacher refuses to teach me

Answers

Step-by-step explanation:

it's something in algebra i don't remember but basically the top number (12) has the x on the bottom which is multiplication and the bottom number (8) has addition so those tell u how ur supposed to get those numbers

so basically u need to find two numbers that add up to 8 and multiply to 12 so the factors are 6 and 2 because 6 • 2 is 12 and 6 + 2 = 8. hope this helps

Answer:

6 and 2

Step-by-step explanation:

6 x 2= 12

6 + 2= 8

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