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Wittaler [7]
3 years ago
5

Find the product.

Mathematics
2 answers:
scoundrel [369]3 years ago
8 0

Answer:

(C) 8x^{a+b} + 4x^{a+3} - 10x^{a+1}

Step-by-step explanation:

-2x^a(-4x^b -2x^3 +5x)=-2x^a(-4x^b)-2x^a(-2x^3)-2x^a(5x)=\\\\=8x^{a+b} + 4x^{a+3} - 10x^{a+1}

murzikaleks [220]3 years ago
8 0

Answer: The correct option is

(C) 8x^{a+b}+4x^{a+3}-10x^{a+1}.

Step-by-step explanation:  We are given to find the following product :

P=-2x^a(-4x^b-2x^3+5x)~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We will be using the following property of exponents :

x^a\times x^b=x^{a+b}.

From (i), we get

P\\\\=-2x^a(-4x^b-2x^3+5x)\\\\=(-2x^a)\times(-4x^b)-2x^a\times(-2x^3)-2x^a\times5x\\\\=8x^{a+b}+4x^{a+3}-10x^{a+1}.

Thus, the required product is 8x^{a+b}+4x^{a+3}-10x^{a+1}.

Option (C) is CORRECT.

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N76 [4]

Answer:

b

Step-by-step explanation:

One square = (2/5)/(3) Invert and multiply the 3

2      1

==    ==    =

5       3

2/15

5 squares = 5 * 2/15 = 10 / 15 = 2/3

5 0
3 years ago
The College Boards, which are administered each year to many thousands of high school students, are scored so as to yield a mean
Marysya12 [62]

Answer:

a) 15.87% of the scores are expected to be greater than 600.

b) 2.28% of the scores are expected to be greater than 700.

c) 30.85% of the scores are expected to be less than 450.

d) 53.28% of the scores are expected to be between 450 and 600.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 500, \sigma = 100

a. Greater than 600

This is 1 subtracted by the pvalue of Z when X = 600. So

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

Z = \frac{600 - 500}{100}

Z = 1

Z = 1 has a pvalue of 0.8413.

1 - 0.8413 = 0.1587

15.87% of the scores are expected to be greater than 600.

b. Greater than 700

This is 1 subtracted by the pvalue of Z when X = 700. So

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

Z = \frac{700 - 500}{100}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

2.28% of the scores are expected to be greater than 700.

c. Less than 450

Pvalue of Z when X = 450. So

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

Z = \frac{450 - 500}{100}

Z = -0.5

Z = -0.5 has a pvalue of 0.3085.

30.85% of the scores are expected to be less than 450.

d. Between 450 and 600

pvalue of Z when X = 600 subtracted by the pvalue of Z when X = 450. So

X = 600

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

Z = \frac{600 - 500}{100}

Z = 1

Z = 1 has a pvalue of 0.8413.

X = 450

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

Z = \frac{450 - 500}{100}

Z = -0.5

Z = -0.5 has a pvalue of 0.3085.

0.8413 - 0.3085 = 0.5328

53.28% of the scores are expected to be between 450 and 600.

6 0
3 years ago
Jim spent an hour doing homework. He spent a third of this time on math and a half on an essay. A few breaks took the rest of hi
Citrus2011 [14]

Answer:

If he spent 20 min. on math and on breaks then he'd spend 20 min. on the essay

Step-by-step explanation:

8 0
3 years ago
Is 7 1/3 greater than 28/3​
salantis [7]

yes

Step-by-step explanation:

um just multiply why am i even here sorry anyway hoped it helped u know u can just google it

7 0
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kumpel [21]

Answer:

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collinearity (points remain on the same lines)

orientation (lettering order remains the same)

Step-by-step explanation:

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