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sweet
16 days ago
15

An inspector checks 98 cell phones and finds 2 of them not working. If a company

Mathematics
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Which expression is equivalent to (3m^-2n)^-3/6mn^-2? Assume m=0, n=0.
Inessa [12570]
This is the solution:

(3m^-2 n)^-3 / 6mn^-2
For the first step: apply the power distribution3^-3 m^-2*-3 n^-3 / 6mn^-2
In the second step: utilize the product and quotient rulesm^6 n^2/ 3^3 *6*m*n^3
Lastly, simplify the expressionm^5/162n
The conclusive answer is m^5/162n

Hope this aids you.:)
8 0
2 months ago
Read 2 more answers
What is the y-intercept of line MN?<br><br> What is the equation of MN written in standard form?
Leona [12618]

Answer:

The y-intercept for line MN is 2

The standard form of the equation is revealed as ⇒ x + y = 2

Step-by-step elucidation:

Coordinates marking the ends of line MN → M(-3, 5) and N(2, 0)

The slope of the line was computed as \frac{y_2-y_1}{x_2-x_1}

                        = \frac{5-0}{-3-2}

                        = -1

For line MN which passes through (-3, 5) with a slope of -1, the equation formulated is given by

y - 5 = (-1)(x + 3)

This simplifies to

y - 5 = -x - 3

Thus resulting in

y = -x + 2

Here the equation appears in the y-intercept form of

y = mx + b

where m represents the slope of the line and b denotes the y-intercept

So, consequently, the y-intercept for line MN is 2

The equation generates in the standard form as

x + y = 2

[[TAG_59]][[TAG_60]][[TAG_61]]
8 0
2 months ago
Read 2 more answers
Marlena solved the equation 2x + 5 = –10 – x. Her steps are shown below.
Leona [12618]

Answer: step 1. property of equality through addition

step 2. property of equality through subtraction

step 3. property of equality through division

Detailed explanation:

5 0
2 months ago
Read 2 more answers
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