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maxonik [38]
3 years ago
15

The electricity rates charged by Monroe Utilities in the summer months are as follows: Base Charge = $ 8 $8 First 800 800 kWh or

less at $ 0.05 $0.05/kWh Over 800 800 kWh at $ 0.08 $0.08/kWh The base is a fixed monthly charge, independent of the kWh (kilowatt-hours) used during the month. a . a. Find an expression for the cost function C ( x ) C(x) for usage of or under 800 800 kWh.
Mathematics
1 answer:
Amanda [17]3 years ago
3 0

Answer:

C(x) = \$8 + \$0.05*x

Step-by-step explanation:

Let 'x' be the usage in kWh. When usage is at or under 800 kWh, the cost function C(x) is given by the base charge of $8 added to the rate of $0.05/kWh multiplied by the consumption 'x', in kWh.

Therefore, for 0 ≤ x ≤ 800, the cost function is:

C(x) = \$8 + \$0.05*x

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he Statue of Liberty is approximately 305 feet tall. If the angle of elevation of a ship to the top of the statue is 22.9 degree
Andru [333]

Answer:

is at a distance of 722 feet

Step-by-step explanation:

we have the angle that forms between the water and the imaginary line between the ship and the tip of the statue

we have the statue height that would be the opposite leg to our angle and we want to know the distance of the ship to the statue that would be the adjacent leg

we see that it has (angle, adjacent, opposite)

well to start we have to know the relationship between angles, legas and the hypotenuse

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

it's the tangent

tan α = o/a

we replace the values ​​and solve

tan α = o/a

tan 22.9 = 305/a

a = 305/tan22.9

a = 305/0.4224

a = 722

is at a distance of 722 feet

7 0
3 years ago
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11111nata11111 [884]

Answer:

withhhhhhhhhtttttt  whaaaaaaaaaaatttttttttttt??????????????????

Step-by-step explanation:

8 0
3 years ago
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(3x + 3x²) + (2x² + 2x)?​
Galina-37 [17]

Answer:

=5x2+5x

Step-by-step explanation:

Let's simplify step-by-step.

3x+3x2+2x2+2x

8 0
3 years ago
The sum of three consecutive integers is −42. find the three integers.
erica [24]
Let the integers be x - 1, x and x + 1, then
x - 1 + x + x + 1 = -42
3x = -42
x = -42/3 = -14

The three consectutive integers are -15, -14 and -13
4 0
3 years ago
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
pentagon [3]

Answer:

D. f(x)=4x^{2}+1

Step-by-step explanation:

There is a translation 1 point up along the y axis and a compression of 4.

Moving a function up (let's use <em>h</em> for the amount of points up) would change the function as so:

f(x)=x^{2} +h

Meanwhile, the compression would modify x in this case. You can eliminate any answers (A. and B.) that have no modification to x, and eliminate C., as a fraction modification would actually widen the graph instead of compress it.

Hope this helps! :]

4 0
3 years ago
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