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Yanka [14]
3 years ago
14

A plumber charges $35 to make a house call, plus $25 an hour for labor. The following equation represents f(x), the total cost o

f a visit for x hours: f(x) = 25x+35. What is the independent variable? * 10 points Number of hours worked Amount of money paid Price of labor House call charge
Mathematics
1 answer:
Darya [45]3 years ago
5 0

The correct answer is A. Number of hours worked

Explanation:

In the equation presented, the number of hours worked is the only factor that varies, it is expected the plumber has to work a different number of hours depending on each situation and this affects the final cost as the number of hours is multiplied by $25 (cost of one hour). On the other hand, factors such as the house call charge or the price of an hour for labor are fixed and do not change.

Moreover, in equations, the factor that changes and can affect others is known as the independent variable. This means the number of hours can be classified as the independent variable because this is not fixed and affect other variables including the total cost.

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The two angles are 45 degrees.

Step-by-step explanation:

You are just halfing the 90 degree angle, so all you have to do is divide 90 by two, and you have 45.

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3 years ago
P(-3,6), Q(-3,-6) and R(6,-2) are the vertices of a triangle. Calculate the perimeter of this triangle.​
Eva8 [605]

Answer:

33.89

Step-by-step explanation:

the side lengths are the distances between the corner points of the triangle.

P and Q have the same x value, and they therefore create a side parallel to the y-axis. and it is easy to find the length of this side : it is just the difference of the y values.

PQ = 6 - (-6) = 6 + 6 = 12

QR and RP are trickier.

we need Pythagoras to calculate the length of the direct connection between these points as the Hypotenuse of the right triangles with the differences in x and in y values as the other sides.

QR :

QR² = (-3 - 6)² + (-6 - -2)² = (-9)² + (-4)² = 81 + 16 = 97

QR = sqrt(97) ≈ 9.848857802

RP :

RP² = (6 - -3)² + (-2 - 6)² = 9² + (-8)² = 81 + 64 = 145

RP = sqrt(145) ≈ 12.04159458

the perimeter/circumference of the triangle is the sum of all 3 sides

= 12 + sqrt(97) + sqrt(145) ≈ 33.89

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Step-by-step explanation:

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