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bixtya [17]
3 years ago
10

M2/n2 is equivalent to _____.

Mathematics
1 answer:
tankabanditka [31]3 years ago
8 0

Answer:

\frac{m^2}{n^2} is equivalent to m^2 \cdot n^{-2}

Step-by-step explanation:

Using exponent rules:

a^{-n}=\frac{1}{a^n}

Given the expression:

\frac{m^2}{n^2}

⇒\frac{m^2}{n^2} = m^2 \cdot \frac{1}{n^2}

Apply the exponent rule, we have;

m^2 \cdot n^{-2}

Therefore, the given expression \frac{m^2}{n^2} is equivalent to m^2 \cdot n^{-2}

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two jets leave an airport at the same time in opposite directions. the first jet is traveling at 323 mph and the other at 347 mp
skelet666 [1.2K]

Remark

This may be a little confusing, but because they are travelling in opposite directions, the distances add when you want to get how far apart they are.

d1 + d2 = 1541

Equation

Let the time this happens = t

d1 = 323*t

d2 = 347*t

323*t + 347*t = 1541 Combine like terms on the left.

670t = 1541 Divide by 670

t = 1541/670

t = 2.3 hours pass before the distance of 1541 miles are between the two planes. You might need the answer to be 2 hours 18 minutes.


4 0
3 years ago
Factor 2x4 - 20x2 - 78.
Airida [17]

Answer:

2x⁴ - 20x² - 78

To factor the expression look for the LCM of the numbers

LCM of the numbers is 2

Factorize that one out

That's

2( x⁴ - 10x² - 39)

Hope this helps

7 0
3 years ago
Read 2 more answers
At the supermarket , 6 mangoes cost 6.12
Grace [21]

Answer:

good to know. but what's the question?

4 0
3 years ago
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Find two consecutive whole numbers such that 4/7 of the larger exceeds 1/2 of the smaller by 5
Darina [25.2K]

Answer:

The consecutive numbers are 62 and 63

Step-by-step explanation:

Let the larger number be represented by x and the smaller number by y,

Provided they are consecutive numbers;

x = y + 1 --- Equation 1

From the question; we have that

\frac{4x}{7} = \frac{y}{2} + 5 --- Equation 2

Required

Find x and y

Multiply both sides of equation 2 by 14

14 * \frac{4x}{7} = 14 * \frac{y}{2} + 14 * 5

2 * 4x = 7 * y + 70

8x = 7y + 70 ---- Equation 3

Substitute y + 1 for x in equation 2

8(y + 1) = 7y + 70

Open bracket

8y + 8 = 7y + 70

Collect like terms

8y - 7y = 70 - 8

y = 62

x = y + 1

So,

x = 62 + 1

x = 63

Hence, the consecutive numbers are 62 and 63

8 0
3 years ago
Which ordered pairs are solutions to the inequality 2x + y > 8 ? Choose all answers that are correct.
gtnhenbr [62]
Hi again!

2x + y > 8

The correct answer is option D
-------------------------------------------

Honestly I don't think we can solve the equation to find the answer. What we can do is to find the boundary line. (I think you know what that is) After that, shading the appropriate area.

y > -2x + 8

Again, credit to my beautiful graphing calculator. Here is how it looks like.

6 0
3 years ago
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