Step-by-step explanation:
-2x³ + 14x² + 120x
= -2x(x² - 7x - 60)
= -2x(x - 12)(x + 5).
The other 2 dimensions are -2x and (x + 5).
When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.
If P=$10, MPL= $25 and APL=$ 40, then the value of marginal product of labor is $250
The marginal product of labor (MPL) is the change in output that results from employing an added unit of labor.
The average product of labor (APL) is the total product of labor divided by the number of units of labor employed.
Here,
P= $10
The marginal product of labor (MPL)= $25
The average product of labor (APL)= $40
The value of marginal product of labor= P × The marginal product of labor (MPL)
The value of marginal product of labor= 10×25=$250
Hence, If P=$10, MPL= $25 and APL=$ 40, then the value of marginal product of labor is $250
Learn more about the value of marginal product of labor here
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The answer is 14 m
<span>In
a 30°-60°-90° triangle, the hypotenuse (c) is twice the length of the shorter
leg (a) which is the opposite to the 30 angle:
</span>
c = 2a
We have c = 28 m
So: 28 = 2a
a = 28 / 2
a = 14 m
Answer:
2 1/12 lbs
Step-by-step explanation:
Add the canned and the dry together
3/4 + 1 1/3
Get a common denominator of 12
3/4 *3/3 + 1 1/3 *4/4
9/12 + 1 4/12
1 13/12
1 + 12/12 + 1/12
2 1/12 lbs
Answer:
31.25 seconds
Step-by-step explanation:
Examine division
11.6 + 24.4 = 36 m < 50m
and 36 + 37.2 - 73.2m > 50m
50 - 36 = 14m
14 * 23.25/37.2 = 8.75 seconds
7.25 + 15.25 + 8.75 = 31.25 seconds
so it would take him 31.25 seconds to swim 50 meters.