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Svetradugi [14.3K]
3 years ago
14

In. What is the area of this trapezoid? b2 = 5 in. h = 4 in. 2 in. 3 in. b1 = 10 in.​

Mathematics
1 answer:
nlexa [21]3 years ago
6 0
25 inches ejjjjjjjjjjjjjjjjj
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The production function f(x) gives the number of units of an item that a manufacturing com pany can produce from units of raw ma
makvit [3.9K]

Answer:

Step-by-step explanation:

Recall that the notion of the derivative of a function is the rate of change of it. So it kind of tells us how much the value of functioin changes as the independt variable increases or decreases. If it is positive, this means that the function will increase as the indepent variable increases, and if it is negative, that means that the function will decrease as the indepent variable increases.

a) Since f(x) is the number of units you can make out of x units of raw material, it is natural to think that the more material you have, the more units you can make, so we expect f'(x) to be positive.

b) The company buys each unit of raw material at the price w. So the product wx represents the total cost of the raw material used to produce f(x) units. Since each produced unit is sell at the price of p, then the product pf(x) represents the total income for selling all f(x) units.Recall that the profit is the difference between the total income and the total cost of production. Hence, the profit in this case is represented by the formula pf(x)-wx.

c) Recall that a function h(x) that is differentiable attains it's maximum when it's derivative is 0 and it's second derivative is negative.

In this case, we know that the derivative of the profit function, evaluated at x* must be 0, since it is a maximum. So, using the rules of derivation, we know that the derivative of the profit function is pf'(x)-w. Hence,

pf'(x*)-w =0. From where we know that f'(x*)=w/p.

5 0
3 years ago
A box is 8 feet wide and 12 feet long. Vince uses 720 cubic feet of packing material to fill the half. What is the height of the
pychu [463]
8 times 12 is 96 and 720 divided by 96 is 7.5. Your answer is 7.5
7 0
3 years ago
Read 2 more answers
Justin did push-ups for the past 555 days.The following data points are the number of push-ups he did each day.
Vitek1552 [10]

Answer: σ: 2.76

Step-by-step explanation:

Count, N: 5

Sum, Σx: 125

Mean, μ: 25

Variance, σ2:  7.6

Steps

look at attached pic for formula

σ^2 = \frac{Σ(xi - μ)^{2} }{N}

\frac{(21 - 25)2 + ... + (29 - 25)2}{5}

⇒ \frac{38}{5}

⇒ 7.6

σ =  \sqrt{7.6}

⇒   2.756809750418

⇒ or 2.76

3 0
2 years ago
Help get all this points pls
balandron [24]
It would be b.) y=5x+5
8 0
3 years ago
Read 2 more answers
Please help
Vlada [557]
Answer is AAS hope this helps
3 0
2 years ago
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