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2 years ago

Which expression is equivalent to 2^4 ⋅ 2^−7?

2 answers:

8 0

Remember
$(x^m)(x^n)=x^{m+n}$
and
$x^{-m}=\frac{1}{x^m}$

so
$(2^4)(2^{-7})=$
$2^{4-7}=$
$2^{-3}=$
$\frac{1}{2^3}=$
$\frac{1}{8}$

ivanzaharov [21]2 years ago

5 0

Answer:

The answer is 1 over 2^3

Step-by-step explanation:

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A craftsman can sell 10 jewelry sets for $500 each. He knows

liraira [26]

Answer:15

Step-by-step explanation:

Given

Craftsman sell 10 Jewelry set for $500 each

For each additional set he will decrease the price by $ 25

Suppose he sells n set over 10 set

Earning $=\text{Price of each set}\times \text{no of set}$

Earning $=(500-25n)(10+n)$

$E=5000+500n-25n^2-250n$

differentiate to get the maximum value

$\frac{dE}{dn}=-50n+250$

Equate $\frac{dE}{dn}$ to get maximum value

$-50n+250=0$

$n=\frac{250}{50}$

$n=5$

Thus must sell 5 extra set to maximize its earnings.

5 0

3 years ago

Write each fraction or mixed number as a decimal 14 3/5

Andreyy89

14 3/5 as a decimal would be 14.6

4 0

3 years ago

Read 2 more answers

Please help I'm almost out of time

Serhud [2]

Answer:

3/2

Step-by-step explanation:

move the 3x to the other side and divide it by 2

3 0

2 years ago

A baseball diamond is a square that is 90feet on each side. What is the distance a catcher has to throw the ball from home to se

Crank

Answer:

well, since a real baseball diamond is 90 feet on each side then the distance from homebase to second is 127 feet 3 3/8 inches

hope this helps :D

4 0

3 years ago

Read 2 more answers

Find the volume of the given solid: Bounded by the cylinder y^2+z^2=4 and the planes x = 2y, x = 0, z = 0 in the first octant.

rodikova [14]

The solution would be like this for this specific problem:

V = ∫ dV 
= ∫0→2 ∫ 0→π/2 ∫ 0→ 2·r·sin(φ) [ r ] dzdφdr 
= ∫0→2 ∫ 0→π/2 [ r·2·r·sin(φ) - r·0 ] dφdr 
= ∫0→2 ∫ 0→π/2 [ 2·r²·sin(φ) ] dφdr 
= ∫0→2 [ -2·r²·cos(π/2) + 2·r²·cos(0) ] dr 
= ∫0→2 [ 2·r² ] dr 
= (2/3)·2³ - (2/3)·0³ 
= 16/3

So the volume of the given solid is 16/3. I am hoping that these answers have satisfied your query and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.

3 0

3 years ago