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3 years ago

Simplify -3x³y²(-4x²y•y•y•y•y)²

Mathematics

2 answers:

Luba_88 [7]3 years ago

7 0

It is 12x^5 y^6 hope it helps

AnnZ [28]3 years ago

3 0

$-3x^3y^2(-4x^2 \underbrace{y\cdot y\cdot y\cdot y}_{y^4})^2\\\\=(-3)(-4)(x^3x^2)(y^2y^4)\\\\=12x^{3+2}y^{2+4}\\\\=\boxed{12x^5y^6}\\\\Used:\\\\a^n\cdot a^m=a^{n+m}$

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The table below shows four systems of equations:

fredd [130]

System 1 and system 2, because the second equation in system 2 is obtained by adding the first equation in system 1 to two times the second equation in system 1

This is the correct answer because not only is it true but it also follows the property of solving systems of equations with adding the equations. To prove that it is true:

2nd equation in system #2 = 1st equation in system #1 + 2(2nd equation in system #1)

10x − 7y = 18 == 4x − 5y = 2 + 2(3x − y = 8)
10x - 7y = 18 == 4x - 5y = 2 + 6x - 2y = 16
10x = 7y = 18 == 10x - 7y = 18

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3 years ago

A 10-foot ladder leans against a wall with its foot braced 3 feet from wall’s base. How far up the wall does the ladder reach? S

GuDViN [60]

Wall height^2 = 10^2 - 3^2
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3 years ago

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A bag contains 6 blue marbles, 10 red marbles, and 9 green marbles. If two marbles are drawn at random without replacement, what

cluponka [151]

Problem

A bag contains 6 blue marbles, 10 red marbles, and 9 green marbles. If two marbles are drawn at random without replacement, what is the probability that two red marbles are drawn?

Work

Probability = no. of favorable outcomes /total no. of outcomes

Probability of getting a blue marble=5/5+6+9=5/20

Probability of getting a red marble=6/20−1=6/19

5/20×6/19

Answer

3/20

So it is C.

4 0

3 years ago

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What is AE? Enter your answer in the box?

Nataly [62]

Answer:

AE = 18 units

Step-by-step explanation:

Δ AEB and Δ DEC are similar , then corresponding sides are in proportion, that is

$\frac{AE}{DE}$ = $\frac{AB}{DC}$ , substitute values

$\frac{2x+4}{x+8}$ = $\frac{12}{10}$ ( cross- multiply )

10(2x + 4) = 12(x + 8) ← distribute parenthesis on both sides

20x + 40 = 12x + 96 ( subtract 12x from both sides )

8x + 40 = 96 ( subtract 40 from both sides )

8x = 56 ( divide both sides by 8 )

x = 7

Then

AE = 2x + 4 = 2(7) + 4 = 14 + 4 = 18 units

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3 years ago

Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of people who write wit

aalyn [17]

Answer:

Step-by-step explanation:

The type I error occurs when the researchers rejects the null hypothesis when it is actually true.

The type II error occurs when the researchers fails to reject the null hypothesis when it is not true.

Null hypothesis: The proportion of people who write with their left hand is equal to 0.23: p =0.23

Type I error would be: Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29

Since 0.29 is assumed to be the alternative claim.

Type II error would be: Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29

Still with the assumption that 0.29 is the alternative claim.

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3 years ago