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nika2105 [10]
3 years ago
7

The equation to determine the weekly earnings of an employee at the hamburger shack is given by w(x), where x is the number of h

ours worked. w(x) = 10x, 0 ≤ x ≤ 40 15(x − 40) + 400, x > 40      determine the difference in salary, in dollars, for an employee who works 52 hours versus one who works 38 hours. determine the number of hours an employee must work in order to earn $445. explain how you arrived at this answer.

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
4 0
To arrive at the answer, I graphed the piecewise function using a graphing calculator, then evaluated it at x=38 and x=52. I drew a line at y=445 and found the point of intersection on the graph.

a) The difference between earnings for 52 hours ($580) and earnings for 38 hours ($380) is $200.

b) An employee must work 43 hours to earn $445.

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Answer:

Area =62.5\sqrt{6} square units

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In a right triangle the altitude drawn to the hypotenuse is the geometric mean of the segments at which this altitude divides the hypotenuse.

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BD^2=15\cdot 10\\ \\BD^2=150\\ \\BD=\sqrt{150}=5\sqrt{6}\ units

a. The area of the triangle ABC is

A_{ABC}=\dfrac{1}{2}\cdot BD\cdot AC=\dfrac{1}{2}\cdot 5\sqrt{6}\cdot (15+10)=\dfrac{125\sqrt{6}}{2}=62.5\sqrt{6}\ un^2.

b. The legs of the right triangle are geometric means of the segment adjacent to this leg and the hypotenuse, so

AB^2=AD\cdot AC=15\cdot 25\Rightarrow AB=5\sqrt{15}\ units\\ \\BC^2=CD\cdot AC=10\cdot 25\Rightarrow BC=5\sqrt{10}\ units

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3 years ago
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Answer:

1. A container of milk 2L

2. An Eyedropper has 1 mL

3. A cup of punch 250 mL

4. A jar of pickles 500mL

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Without even measuring, just think of this problem logically. Remember that a 1 L is 1000mL, so it is 1000 times more than 1 mL.

A milk container would hold more than a cup of milk and that is more than 20 mL. The most logical answer would be 2L.

An eyedropper can hold just a little amount of liquid. Just think that it dispenses liquid in drops, the best answer would be 1mL (which is actually an estimate of the volume of a drop is.)

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Same as above, the keyword there is a jar. A 50L jar would be a very big amount for just a jar of pickles.

8 0
3 years ago
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