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Fantom [35]
4 years ago
11

Help please! I need to show my work

Mathematics
1 answer:
icang [17]4 years ago
3 0
The centroid of a triangle is 2/3 of the way from the vertex to the opposite side. The centroid is the intersection of the medians. Each median has as endpoints a vertex and the midpoint of the opposite side.
a.
PC is 2/3 of PY, and CY is 1/3 of PY.
If CY = 10, then PC = 20, and PY = 30

b.
If QC = 10, then ZC = 5, a nd ZQ = 15.

c.
X is the midpoint of side PQ.
PX = XQ = 1/2(PQ)
If PX = 20, PQ = 40
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Suppose c(x) = x3 - 24x2 + 30,000x is the cost of manufacturing x items. Find a production level that will minimize the average
algol [13]

Answer:

hence the required minimum production level is 12units

Step-by-step explanation:

Given the cost function expressed as c(x) = x^3 - 24x^2 + 30,000x

The average cost function will be c(x)/x

Dividing the cost function through by x

Average cost function = c(x)/x = x³/x - 24x²/x + 30,000x/x

Average cost function = x²-24x + 30,000

A(x) = x²-24x + 30,000

If the average cost is minimized, hence dA/dx = 0

dA/dx = 2x - 24

0 = 2x - 24

-2x = -24

Divide both sides by -2

-2x/-2 = -24/-2

x = 12

For the second deriviative

d²A/dx² = 2 which is greater than zero

Hence a production level that will minimize the average cost per item of making x items is 12

4 0
3 years ago
Suppose we have three jars: A, B, and C. Jar A contains 2 red marbles and 1 blue marble. Jar B contains 1 red marble and 2 blue
mr_godi [17]

Answer:

According to the clues provided, the selected jar is jar C.

Hope this helps!

5 0
3 years ago
Sheldon Cole earns a salary of $150 a week and a commission of 7% on all
joja [24]

Answer:

$6,482.30

Step-by-step explanation:

150 x 40 (hours per week) = $6,000

6,890 x .07 = $482.30

6,000 + 482.30 = $6,482.30

6 0
3 years ago
What is the answer to y=2/3x+4
In-s [12.5K]

Answer:

y=2 over 3x-4

Step-by-step explanation:

I just know pog

3 0
3 years ago
Y-8=3/5(x-5)?<br><br> what is y?
Ahat [919]

Answer:

Step-by-step explanation:

y-8=3/5(x-5)

multiply 3/5 times x and -5

y-8=3/5x-3

then add 8

y=3/5x+5

3 0
3 years ago
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