The rule for exponents of exponents is:

a^b^c=a^(b*c), in this case:

x^(3/8)^(2/3)

x^((3/8)*(2/3))

x^(6/24)

x^(1/4)

So x^(1/4) is equal to the fourth root.

3 0

3 years ago

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A is inversely proportional to b. If a=7.2 when b=-4, what will a equal when b=6?

Tpy6a [65]

Answer:

Step-by-step explanation:

To find the value of a when b=6 we must first find the relationship between them.

The statement

a is inversely proportional to b is written as

$a \: \: \alpha \: \: \frac{k}{b}$

where k is the constant of proportionality

When a = 7.2 , b = -4

So we have

$7.2= \frac{k}{ - 4}$

k = 7.2 × - 4

k = - 28.8

So the formula for the variation is

$a = - \frac{28.8}{b}$

When

b = 6

That's

$a = - \frac{28.8}{6}$

We have the final answer as

Hope this helps you

7 0

3 years ago

A gift shop sells 140 wind chimes per month at $90 each. The owners estimate that for each $5 increase in price, they will sell

guapka [62]

Answer: $95

Step-by-step explanation:

Te new price will be 90 + 5x, if the price increases "x" times

The number of wind chimes sold per month will become 140 - 7x

$\begin{aligned}&\text {Revenue, } \mathrm{R}(\mathrm{x})=(90+5 \mathrm{x})(140-7 \mathrm{x}) \\&R^{\prime}(x)=5(140-7 x)-7(90+5 x) \\&R^{\prime}(x)=700-35 x-630-35 x \\&R^{\prime}(x)=70-70 x=0 \\&70 x=70 \\&x=1\end{aligned}$

Therefore, if the price becomes (90 + 5(1)) = $95 per wind chime, then the revenue will be maximum

6 0

2 years ago

Which type of line is shown in the illustration below?

AysviL [449]

Answer: B. perpendicular lines because they intersect at a right angle, making them perpendicular.

6 0

2 years ago

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