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2 years ago

Which expression is equivalent to the given expression? Assume the denominator does not equal zero.

Mathematics

2 answers:

lys-0071 [83]2 years ago

5 0

Answer:

Step-by-step explanation:

Lera25 [3.4K]2 years ago

3 0

Answer:

$2x^6y^2$

Step-by-step explanation:

Step 1: simplify integers in expression

$\frac{12x^{9}y^{4}}{6x^{3}y^{2}} = \frac{2x^{9}y^{4}}{x^{3}y^{2}}$

Step 2: simplify x terms

$\frac{2x^{9}y^{4}}{x^{3}y^{2}} = \frac{2x^{6}y^{4}}{y^{2}}$

Step 3: simplify y terms

$\frac{2x^{6}y^{4}}{y^{2}} = 2x^6y^2$

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An English professor assigns letter grades on a test according to the following scheme. A: Top 9% of scores B: Scores below the

sergeinik [125]

Answer:

The minimum score required for an A grade is 83.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 72.3 and a standard deviation of 8.

This means that $\mu = 72.3, \sigma = 8$

Find the minimum score required for an A grade.

This is the 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91, so X when Z = 1.34.

$Z = \frac{X - \mu}{\sigma}$

$1.34 = \frac{X - 72.3}{8}$

$X - 72.3 = 1.34*8$

$X = 83$

The minimum score required for an A grade is 83.

5 0

3 years ago

Amy is solving the equation using the steps shown.

Delicious77 [7]

The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.

The equation is given as:

$\mathbf{(x^2 - 16)(x + 2) = 0}$

The possible next steps are:

1. Expand the equation as follows

$\mathbf{x^3+2x^2-16x-32 = 0}$

2. Express x^2 -16 as a difference of two squares as follows

$\mathbf{(x + 4)(x- 4)(x + 2) = 0}$

However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give $\mathbf{(x + 4)(x- 4)(x + 2) = 0}$

This is so, because the question says Amy is trying to solve for variable x.

This step will ensure that she gets the possible values of x, unlike expanding the whole equation .

Hence, the correct next step is $\mathbf{(x + 4)(x- 4)(x + 2) = 0}$

Read more about equations at:

brainly.com/question/7674413

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2 years ago

Two groups of workers are painting a bridge in the bay. The first group is responsible for painting the north side of the bridge

artcher [175]

Answer:

They will each have painted 8 km. This goal will be met on Day 4.

Step-by-step explanation:

Group A | Group B

Start: 2 | Start: 5 Day 1

2 + 2 = 4 | 5 + 1 = 6 Day 2

4 + 2 = 6 | 6 + 1 = 7 Day 3

6 + 2 = 8 | 7 + 1 = 8 Day 4

4 0

4 years ago

Find an equation equivalent to r=6secθ in rectangular coordinates and describe the graph of the equation.

k0ka [10]

Answer:

x = 6

Step-by-step explanation:

r = 6 sec θ

r = 6 / cos θ

r cos θ = 6

x = 6

The graph is a vertical line passing through (6, 0).

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