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cricket20 [7]
3 years ago
14

Math ..................

Mathematics
2 answers:
Vaselesa [24]3 years ago
7 0

It can work well here to simplify inside parentheses first.

\displaystyle\left(\frac{4x^{-2}y^{2}}{12x^{-4}y^{-1}}\right)^{3}=\left(\frac{4}{12}x^{(-2-(-4))}y^{(2-(-1))}\right)^{3}\\\\=\left(\frac{x^{2}y^{3}}{3}\right)^{3}=\frac{x^{(2\cdot 3)}y^{(3\cdot 3)}}{3^{3}}\\\\=\frac{x^{6}y^{9}}{27}

_____

The correct selection is not show with your problem statement.

Licemer1 [7]3 years ago
3 0

the correct answer is not shown but look in comments

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Suppose that the dollar cost of producing x radios is c(x) = 400 + 20x - 0.2x 2. Find the marginal cost when 30 radios are produ
My name is Ann [436]
C(x) = 400 + 20x - 0.2x²

c(30) = 400 + 20(30) - 0.2(30)²

= 400 + 600 - 0.2(900)
= 1000 - 180
= 820

It costs $820 when 30 radios are produced. 

Marginal cost is how much it would cost to make one MORE of the same product so now we find how much it costs to produce 31 radios and compare the two. 

c(31) = 400 + 20(31) - 0.2(31)²

= 400 + 620 - 0.2(961)
= 1020 - 192.2
= 827.8 or ≈828.

Now we find the difference which means we subtract the two. 

828 - 820 = 8. 

Your marginal cost is $8. 

To compare we can also do 29 radios. 

c(29) = 400 + 20(29) - 0.2(29)² = 811.8 or ≈812

820 - 812 = 8. 
7 0
3 years ago
Using the given points and line, determine the slope<br><br> (0,32) and (100,212)
suter [353]
To solve for the slope given two lines, use the formula:

(y₂ - y₁)
----------
(x₂ - x₁)

Set one of the points as (x₁, y₁), and the other as (x₂, y₂).

(x₁, y₁) = <span>(0,32)
</span>(x₂, y₂) <span>= (100,212)

plug into corresponding places:


</span>(y₂ - y₁)         (212 - 32)     (180)
----------    =  -------------- = -------
(x₂ - x₁)         (100 - 0)       (100)


180/100 
is your slope

If you want simplified, it will be: 9/5

hope this helps


5 0
3 years ago
HELP ME PLEASE !!!!!!!!
fredd [130]

Answer:

AB = 14

DE =7

Step-by-step explanation:

Remark

<em>AB</em>

Opposite sides of a parallelogram are equal.

AB = CD

AB = 14

<em>DE</em>

According to the diagram AE = 19

AD = 26 which is the same size as BC

DE = 26 - 19 = 7

DE = 7

4 0
2 years ago
The probability a person is infected by a certain cold virus is 0.2. If a random sample of 12 people is taken, what is the proba
inna [77]

Answer:

If 0.2 = 20%, The probability that 1 person will be infected is 100%, according to theory.

3 0
2 years ago
Compare the following functions: f(x) = 3 sin(x − π) + 4 g(x) graph of a quadratic with points at 1, 5 and 3, 1 and 5, 5 h(x) x
riadik2000 [5.3K]

Answer:

All three functions have the same minimum

Step-by-step explanation:

6 0
3 years ago
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