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2 years ago

Simplify the following expression

Mathematics

1 answer:

inysia [295]2 years ago

8 0

The simplified form of given expression is $\frac{z^{3}}{x y^{2}}$

Answer: Option B

Step-by-step explanation:

Given expression:

$\frac{4 x^{0} y^{-2} z^{3}}{4 x}$

To find the simplified form of the given expression

We know, x to the power 0 is equal to 1. i.e. $x^{0}=1$ . Therefore, it gets removed in the given expression.

$\frac{4 y^{-2} z^{3}}{4 x}$

As common ‘4’ in numerator and denominator also gets cancelled in the given expression

$\frac{y^{-2} z^{3}}{x}$

Bring negative exponents (in numerator) down (to denominator) to form positive exponents, we get the simplified form of given expression as below,

$\frac{z^{3}}{x y^{2}}$

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Answer:

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Step-by-step explanation:

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2 years ago

A battery factory typically produces 12,000 batteries per day and uses 50 boxes for packing the batteries. If the number of boxe

weqwewe [10]

Answer:

25 more boxes is needed

Step-by-step explanation:

12000 batteries require 50 boxes. Let's find the unit rate.

That is, how many batteries are in each box??

That's 12,000/50!

12,000/50 = 240 batteries per box

Now, to find how many boxes we would need for 18,000 batteries, we will have to divide the total (18000) by 240(number of batteries per box). That is:

18,000/240 = 75 boxes

We would need 75 boxes to pack 18,000 batteries.

We want "how many MORE boxes needed", so we will the excess:

75 - 50 = 25 more boxes is needed

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2 years ago

The Marsh family took a vacation that covered a total distance of 1356 miles. The return trip was 284 miles shorter than the fir

Alex787 [66]

So going+return=1356
return is 284 lesss than going
return=-284+going
subsitute

going-284+going=1356
2going-284=1356
add 284 to both sides
2going=1640
divide both sides by 2
going=820

so we havve
return=-284+going
return=-284+820
return=536

answer is return=536 miles

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1 year ago

Compare the functions shown below: f(x) = 4x + 5 g(x) tangent function with y intercept at 0, 2 h(x) = 3 sin(2x + π) − 2 Which f

KATRIN_1 [288]

The y-intercept of the graph of a function is the value of f(0) for any function f.
That is, it is the y-value in the pair (0, y)

The y-intercept of f(x) = 4x + 5 is f(0)=4*0+5=5

The y-intercept of (0, 2) is 2.

The y-intercept of h(x) = 3 sin(2x + π) − 2 is:

h(0) = 3 sin(2*0 + π) − 2=3 sin(π) − 2=3*0-2=-2

Answer: The function f has the greatest y-intercept.

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2 years ago

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Answer:

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2 years ago