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3 years ago

Using the laws of exponents simplify this expression(3m)^{-2}

Mathematics

1 answer:

DochEvi [55]3 years ago

7 0

1/(3m)^2
1/9m^2
Hope that helps

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The probability of a chance event is 0.5, it is __________ to happen when compared to a chance event with a probability of 1.

nignag [31]

Answer:

less likely

Step-by-step explanation:

Probability is between 0 and 1 so 1 is guaranteed to happen and 0 is guaranteed to not happen

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2 years ago

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The perimeter of a rectangular painting is 270 cm.

Ainat [17]

The anwser is 53 cm each

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Mary got a sales job at her father's company. She was paid $9 per hour plus a 5%commission on her sales. Last week sheworked 40

horsena [70]

Answer:

Mary was paid $638

Step-by-step explanation:

Mary was paid 360 $ for working alone because

$40 * 9 = $360

Mary was paid $278

5 % * $5560 = $278

360 + 278 = 638 $

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2 years ago

Determine the greatest common factor of 15xy^7z and 30x^2y^7z

yawa3891 [41]

Answer:

$15x {y}^{7} z$

Step-by-step explanation:

<h3>Factorize the Expressions</h3>

$15x {y}^{2} z = 3 \times 5 \times x \times y \times y \times y \times y \times y \times y \times y \times z$

$30 {x}^{2} {y}^{7} z = 2 \times 3 \times 5 \times x \times x \times y \times y \times y \times y \times y \times y \times y \times z$

<h3>Factor out the Common Factors</h3>

$gcf = 3 \times 5 \times x \times y \times y \times y \times y \times y \times y \times y \times z$

<h3>Multiply the Common Factors</h3>

$3 \times 5 \times x \times y \times y \times y \times y \times y \times y \times y \times z = 15x {y}^{7} z$

The Factored expressions are

$15x {y}^{7} z$

And

$15x {y}^{7} (2x)$

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3 years ago

The table shows how much money Edguardo earns as a golf coach. He charges a flat fee of $38, plus $22 per hour. Complete the tab

Vesnalui [34]

Let's re-read the statement and question, and then break it down.
He charges a flat fee of $38, plus $22 per hour.
A flat fee of $38 is only a one-time pay, and will never be paid for again.
This means if after two hours, we only add $38 once overall, never more.
Every hour that goes by, he earns $22 each hour.
Now that we've broken this down, we can make an equation.
Let's do 1 hour.
1(22) + 38 = 22 + 38, = 60.
For 1 hour he earns $60.
Let's do 2 hours.
2(22) + 38 = 44 + 38, = 82.
For 2 hours he earns $82.
Let's do 3 hours.
3(22) + 38 = 66 + 38, = 104.
For 3 hours he earns $104.
Let's do 4 hours.
4(22) + 38 = 88 + 38, = 126.
For 4 hours he earns $126.
This is a pattern.
Now let's do 8 hours, which is the main question, "How much does he make in 8 hours?".
8(22) + 38 = 176 + 38, = 214.
For 8 hours he earns $214.
I hope this helps!

4 0

3 years ago

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