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2 years ago

What is the first derivative of p with respect to q (i.e., differentiate P with respect to q)?P = 6q2 + 3

Mathematics

1 answer:

Ahat [919]2 years ago

4 0

Answer:

Step-by-step explanation:

Given P = 6q² + 3, we are to find the derivative of the function with respect to q. Generally if y = axⁿ;

dy/dx = naxⁿ⁻¹

Rewriting the given equation as P = 6q² + 3q⁰

Using the formula to find the derivative;

dP/dq = 2(6)q²⁻¹ + 0(3)q⁰⁻¹

dP/dq = 12q¹ + 0

dP/dq = 12q

Hence the derivative of the function P with respect to q is 12q

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Suppose Austin, Texas, is hit by a tornado that destroys 25 percent of the housing in the area. Would you expect the total expen

notsponge [240]

Answer:

greater than what it was before

Step-by-step explanation:

Remember, a tornado usually causes significant structural damages to houses within its area of impact., and this requires running expenses to repair the damage.

Hence, since the term expenditure, also implies expenses; we can expect the total expenditure on housing after the tornado to be greater than what it was before the tornado since families would be paying for repairs.

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2 years ago

The number of points scored by a basketball player in the first eight games of a season are shown below. 15, 35, 18, 30, 25, 21,

hichkok12 [17]

Answer:

im not sure how the data should be interpreted but here is the distribution. It goes up by .416

Step-by-step explanation:

the average of the first 8 games is 24

the average of the 12 games is 24.416

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2 years ago

Labyrinth Middle School is 363 feet long. Tabitha makes a scale model of the school and the drawing is 33 inches long. What is t

defon

Answer:

The Answer is 1 inch represents 11 feet.

Step-by-step explanation:

The original measurement, or the measurement of the middle school, is 363 feet. The measurement of the drawing is 33. To get the answer, you take 363 and divide it by 33 to get the scale factor of 11. This means that for each inch, there is 11 feet. Hope this helps!

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2 years ago

Choose the equations that are equvialent. Select all that apply.

Fed [463]

Answer:a,b,c

Step-by-step explanation:

The are all equivalent

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3 years ago

QUESTION 2. the feasible region shows the number of chairs x and tables y that a furniture company can build each week.

GalinKa [24]

Answer:

Part a) The company can not build 12 chairs and 5 tables

Part b) The company can build 18 chairs and 3 tables

Part c) The company can build 12,13,14,15,16 or 17 chairs

Step-by-step explanation:

we know that

If a ordered pair is a solution, then the ordered pair must be belong to the feasible region of the graph

Part a) Can the company build 12 chairs and 5 tables?

In this problem we have the ordered pair A(12,5)

Plot and verify if the point belong to the feasible region of the graph

see the attached figure to better understand the problem

The point A is not on the feasible region

therefore

The company can not build 12 chairs and 5 tables

Part b) Can the company build 18 chairs and 3 tables?

In this problem we have the ordered pair B(18,3)

Plot and verify if the point belong to the feasible region of the graph

see the attached figure to better understand the problem

The point B is on the feasible region

therefore

The company can build 18 chairs and 3 tables

Part c) One week, the company decides to build 4 tables. how many chairs can the company build?

For y=4

Find the value of x in the graph

The solutions point for y=4 tables are

(12,4), (13,4),(14,4),(15,4),(16,4) and (17,4)

therefore

The company can build 12,13,14,15,16 or 17 chairs

3 0

3 years ago