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3 years ago

Multiply and simplify 3xy^4z^2 • 5x^2yx

1 answer:

4 0

15x^4y^5z^2
This is the farthest it can be simplified, hope I helped!

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Suppose that a classmate asked you why (2x + 112 is not (4x² + 1). What is your response to this classmate?

aleksandr82 [10.1K]

The given expression is the square of a binomial, such that:

(2x + 1)^2 = 4x^2 + 4x + 1

Then the correct option is C.

<h3>Are the expressions equivalent?</h3>

We want to see if:

(2x + 1)^2

Is equivalent to (4x^2 + 1).

First, this is false, let's prove that.

We have the square of a binomial (2x + 1)^2. Remember the general formula:

(a + b)^2 = a^2 + 2ab + b^2

So if we apply this to our expression we get:

(2x + 1)^2 = (2x)^2 + 2*2x*1 + 1^2 = 4x^2 + 4x + 1

Then, the correct option is C.

If you want to learn more about binomials, you can read:

brainly.com/question/15246027

5 0

2 years ago

A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.

SVEN [57.7K]

Answer:

0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.

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.

A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1.

This means that $\mu = 73.5, \sigma = 5.1$

Find the probability that there will be fewer than 69 broken pretzels in a run.

This is the p-value of Z when X = 69.

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

$Z = \frac{69 - 73.5}{5.1}$

$Z = -0.88$

$Z = -0.88$ has a p-value of 0.1894

0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.

3 0

3 years ago

When two lines intersect, they form blank linear pairs and blank pairs of vertical angles

serious [3.7K]

What is your question?

8 0

4 years ago

Someone help please - area of circles!

Reika [66]

R=d/2
R=40/2
R=20
A=πr^2
A=π20^2
A=π400
A=1256.637061
Area of triangle=(b*h) /2
A=(40*20)/2
A=800/2
A=400
Area of circle-area of triangle=area of shaded region
1256.637061-400=856.637061
Hope this helps!

7 0

3 years ago

What is the graph for y = -x² + 10x - 23

skad [1K]

Answer:

the maximum is (5,2)

y-int (0,-23)

3 0

3 years ago