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3 years ago

6. An air conditioning repair service call costs $75 per hour plus a flat fee trip charge of $25. If the situation can

Mathematics

1 answer:

Talja [164]3 years ago

5 0

Answer:

THE ANSWER FROM YOUR OPTIONS IS:

(C) The repair charge r depends on the repair time h in hours.

Step-by-step explanation:

Repair-service call - $75 /hour

Flat fee trip-charge - $25

The function representing this situation: r(h) = 75h + 25

(A) Which is the dependent variable?

The dependent variable is the one whose value is to be gotten from the relationship between or among the values of other variables in the function. It usually appears at the left hand side of the equation. In this case, it is r(h).

(B) What do the variables represent?

The variables here - the algebra that can attain various values - are r and h.

r = total repair charges

h = repair time in hours [hence, if h = 1, repair time is 1 hour]

These are the two variables in this function.

r(h) now means repair charges in hours

THE ANSWER FROM YOUR OPTIONS IS:

(C) The repair charge r depends on the repair time h in hours.

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A submarine lies 3 kilometers from the path of a target ship. The sub’s torpedoes have a range of 5 kilometers. For what distanc

aev [14]

The distance along the path of the ship be within the range of the torpedoes is 4 kilometers.

Explanation:

The submarine lies 3 km from the target ship.

Let B denotes the target ship and C denotes the submarine.

Let AC denotes the the target ship would be within the range of the torpedoes.

The image attached below illustrates that the distance between submarine and the target ship and the range of the torpedoes.

Let BC denotes the distance between the target ship and the submarine. Let AC denotes the range of the torpedoes.

To determine the length of AB, let us use Pythagorean theorem,

$AC^{2} =AB^{2} +BC^{2}$

Substituting the values of BC = 3 and AC = 5, we have,

$5^{2} =AB^{2} +3^{2}$

Squaring the terms, we get,

$25 =AB^{2} +9$

Subtracting both sides by 9, we have,

$16 =AB^{2}$

Taking square root on both sides,

$AB = 4$

Thus, the distance along the path of the ship be within the range of the torpedoes is 4 kilometers.

5 0

3 years ago

. Suppose that the times required for a cable company to fix cable problems in its customers' homes are uniformly distributed be

SCORPION-xisa [38]

The probability that a randomly selected cable repair visit will take at least 43 minutes will be 88%.

Given: The times required for a cable company to fix cable problems in its customers' homes are uniformly distributed between 40 minutes and 65 minutes.

It can be deduced that the probability that a randomly selected cable repair visit will take at least 43 minutes will be calculated thus:

= 1 - [(43 - 40)/(65 - 40)

= 1 - 0.12

= 0.88

Hence, The probability that a randomly selected cable repair visit will take at least 43 minutes will be 88%.

Learn more about probability here brainly.com/question/6354635

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8 0

2 years ago

In a sample of 66 cabinets, the average height was found to be 32.2in. with a standard deviation of 2.1. Give a point estimate f

andrew11 [14]

Answer:

2.10

Step-by-step explanation:

The point estimate for the population standard deviation of the height of the cabinets equals to the provided standard deviation of the cabinets. Rounding off the given standard deviation which is 2.1 to 2 decimal places as the question requires then the point estimate for the population standard deviation of the height of the cabinets is approximately 2.10 ( 2 decimal places)

7 0

3 years ago

Can someone please help me with #37

kolbaska11 [484]

Using the diagram, we can conclude that the radius is 10 feet, and the height is 6 feet.

Plug in the values for radius and height into the equation.
V = π10^2*6
Simplify in terms of pi.
V = 600π
Round pi to 3.14 and multiply by 600.
V = 1,884

1,884 cubic feet is your answer.
In the image you provided, I do not see a fourth option that includes 1,884 cubic feet. I would assume that the camera did not take a full picture of the answer choices.

4 0

3 years ago

Solve for p. <br><br> i = prt<br><br> p = i-rt<br> p = i/(rt)<br> p = (rt)/i

Debora [2.8K]

Answer:

Step-by-step explanation:

$i=prt\to prt=i\qquad\text{divide both sides by}\ rt\neq0\\\\\dfrac{prt}{rt}=\dfrac{i}{rt}\\\\p=\dfrac{i}{rt}$

5 0

3 years ago