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3 years ago

Find the gcf of 12, 18, and 84

Mathematics

2 answers:

Lady_Fox [76]3 years ago

8 0

Answer: 6 is the GCF

Westkost [7]3 years ago

4 0

Greatest Common Factor of 12,18,84.

Factors of 12:1,2,3,4,6,12
Factors of 18:1,2,3,6,9,18
Factors of 84:1,2,3,4,6,7, 12,14,21,28 42,84

The Greatest Common Factor (GCF) of all those three factors is 6.

The Greatest Common Factor is the greatest Factor in all the numbers. In this set, 12,84,84, 6 is the greatest, making it the Greatest Common Factor.

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Using the inverse trig functions, find the measure of angle Z to the nearest degree.

Ksenya-84 [330]

Answer:

Step-by-step explanation:

because y is 90 and x is 20 so z is 71

6 0

3 years ago

A shirt originally cost $42.54, but it is on sale for $29.78. What is the percentage decrease of the price of the shirt? If nece

Genrish500 [490]

Answer:

The difference is 30%

Step-by-step explanation:

To find the percent decrease, start by finding the difference in costs.

42.54 - 29.78 = 12.76

Now divide that amount by the original cost.

12.76/42.54 = 30%

4 0

2 years ago

What slope is perpendicular to m= 5/8 m=-5/8 m=5/8 m=-8/5 m=8/5

MrRa [10]

Answer:

C) $m =\frac{-8}{5}$

The slope of the perpendicular line $m =\frac{-8}{5}$

Step-by-step explanation:

Explanation:-

Given that the slope of the given line is

$m =\frac{5}{8}$

The slope of the perpendicular line

= $\frac{-1}{m}$

The slope of the perpendicular line

= $\frac{-1}{\frac{5}{8} }$

Final answer

The slope of the perpendicular line

$m =\frac{-8}{5}$

7 0

3 years ago

Explain you can use the whole number expression 248 divided by 4 to check that your answer to exercise 2 is reasonable

Alex17521 [72]

248 ÷ 4 = 62 that is the answer

6 0

3 years ago

NetSell, a the TV remote control supplier for Lumyn Electronics, has a weekly production cost of q TV remote controls that is gi

natali 33 [55]

Answer:

a. $\frac{dC(q)}{dq} = 0.000012q^2 -0.06q + 100$

b. $\frac{dR(q)}{dq}=-0.01q+200$

$U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152$

$U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138$

Step-by-step explanation:

a) The marginal cost function is given by the derivative of the total cost function, in this way the marginal cost function for this company is:

$\frac{dC(q)}{dq} = \frac{dC(q)}{dq} (0.000004q^ 3 - 0.03q ^ 2 + 100q + 75000) = 0.000012q^2 -0.06q + 100$

b) The income function is given by the relation $R (q) = P (q) q = -0.005q^2 + 200q$ .

The marginal revenue function for the company is given by the derivative of the revenue function, in this way the marginal revenue function is:

$\frac{dR(q)}{dq}= -0.01q+200$

(c) The profit function of the company is given by the relation $U (q) = R (q) - C (q)$ , and the marginal utility function is given by the derivative of the utility function, in this way , the marginal utility function is:

$\dfrac{dU(q)}{dq}=R'(q) - C'(q) = -0.01q+200 - (0.000012q^2-0.06q+100) = -0.000012q^2+0.05q+100$

When q = 2000, the marginal utility is:

$U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152$

When q = 7000, the marginal utility is:

$U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138$

6 0

3 years ago