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Ymorist [56]
3 years ago
12

Please help me! Find the value of z!!!!

Mathematics
1 answer:
yarga [219]3 years ago
6 0

Answer:

20 degrees

Step-by-step explanation:

Angles on the edge of the circle are equal to 1/2 of the arc it forms, so that means angle z is one half of 40 degrees. 1/2 * 40 = 20 degrees.

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He will spend $560 in 8 weeks

Step-by-step explanation:

So 260 for every 3 weeks how much will he make in 8 weeks

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so 240 divided by 3 equals 80 So he makes 80 in 1 week.

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Find the measurements
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3 0
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Read 2 more answers
Find the equilibrium quantity and equilibrium price for the commodity whose supply and demand functions are given.
expeople1 [14]
Rewriting the two equations:

[Supply] p = q^2+20
[Demand] p=-4q^2+10q+18600

Equilibrium price is when 
Supply = Demand
q^2+20 = -4q^2+10q+18600
q^2+4q^2+20-10q-18600 = 0
5q^2-10q-18580=0 ⇒ Simplifying the equation by dividing each term by 5

q^2-2q-3716=0

The simplified equation is in quadratic form.
There are three main methods for solving a quadratic equation: factorizing, completing the square, or quadratic formula. 

Using the formula, we need the value of a, b, and c which is the constant of the quadratic equation. 
q_1= \frac{-b+ \sqrt{(b)^2-4ac)} }{2a}, and q_2= \frac{-b- \sqrt{(b)^2-4ac)} }{2a}


We have a = 1, b = -2, and c = -3716
Substituting these values into the formula we have
q_1= \frac{-(-2)+ \sqrt{(-2)^2-4(1*-3716)} }{2} =61.97
q_2= \frac{-(-2)- \sqrt{(-2)^2-4(1*-3716)} }{2} =-59.97

Since 'q' represents a quantity, we can't have negative values, so we choose the value of 'q' to be 61.97 ≈ 62 (rounded to the nearest whole number)

Answer: Equilibrium quantity = 62
4 0
3 years ago
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