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morpeh [17]
3 years ago
14

Which of the following is equivalent to (x+3)(4x^2+5)

Mathematics
1 answer:
spin [16.1K]3 years ago
7 0

Answer:

4x^3+12x^2+5x+15

Step-by-step explanation:

Factor out.

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Plz help with this I don’t really get it
Greeley [361]

Answer:

D

Step-by-step explanation:

Associative Property of Multiplication is a(bc) = (ab)c

d is the only one that follows the rule

6 0
3 years ago
Surveys conducted in American high schools concluded that 90% of the students in a sample of 400 students had more than one acti
kenny6666 [7]
The sample proportion has an approximately normal distribution, with the mean being the population mean and the standard deviation (i.e. the standard error of the sampling proportion) equal to 

SE = sqrt(p*q/n) where p is the population proportion q is 1-p, and n is the sample size. 

<span>(Typically, for a confkdence interval, the sample proportion and its complement are substituted for p and q.) </span>

The margin of error will be Zc*SE, where Zc is the critical value of Z for the level of confidence required. The confidence interval, then, will be the sample proportion, plus or minus the margin of error. 

For a 90% confidence interval, Zc is 1.645. 

<span>So the margin of error is 1.645 * sqrt(.9*.1/400), roughly .025. So your confidence interval would be around [.875, .925] 


The best and most correct answer among the choices provided by your question is the second choice or letter C which is 3%.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.</span>
4 0
3 years ago
Read 2 more answers
A company makes paper labels for paint cans. As shown below, each can is in the shape of a cylinder
sineoko [7]

The company needs 41 labels on average, each minute.

<h3>What is the circumference of a circle?</h3>

The perimeter of a circle (circumference): 2 π radius

Replacing with the values given:

C = 2 (3.14) 2 = 12.56 cm

So, the area of one label is:

Area of a rectangle: length x width = 12.56 x 7 = 87.92 cm sq.

Now, the number of label be n

87.92 x n = 3612.64 cm2

n = 3612.64 / 87.92

n = 41.09

Hence, The company needs 41 labels on average, each minute.

Learn more about circumference;

brainly.com/question/4268218

#SPJ1

6 0
1 year ago
Simplificar A=4x2-6x2+7x2-20x2+19x2
maks197457 [2]

Answer:

4x²

Step-by-step explanation:

Your equation is 4x² - 6x² + 7x² - 20x² + 19x².

Since they all have the same variable, simply combine them all to find your answer.

4x² - 6x² + 7x² - 20x² + 19x²

-2x² + 7x² - 20x² + 19x²

5x² - 20x² + 19x²

-15x² + 19x²

4x²

7 0
3 years ago
First make a substitution and then use integration by parts to evaluate the integral. (Use C for the constant of integration.) x
e-lub [12.9K]

Answer:

(\frac{x^{2}-25}{2})ln(5+x)-\frac{x^{2}}{4}+\frac{5x}{2}+C

Step-by-step explanation:

Ok, so we start by setting the integral up. The integral we need to solve is:

\int x ln(5+x)dx

so according to the instructions of the problem, we need to start by using some substitution. The substitution will be done as follows:

U=5+x

du=dx

x=U-5

so when substituting the integral will look like this:

\int (U-5) ln(U)dU

now we can go ahead and integrate by parts, remember the integration by parts formula looks like this:

\int (pq')=pq-\int qp'

so we must define p, q, p' and q':

p=ln U

p'=\frac{1}{U}dU

q=\frac{U^{2}}{2}-5U

q'=U-5

and now we plug these into the formula:

\int (U-5)lnUdU=(\frac{U^{2}}{2}-5U)lnU-\int \frac{\frac{U^{2}}{2}-5U}{U}dU

Which simplifies to:

\int (U-5)lnUdU=(\frac{U^{2}}{2}-5U)lnU-\int (\frac{U}{2}-5)dU

Which solves to:

\int (U-5)lnUdU=(\frac{U^{2}}{2}-5U)lnU-\frac{U^{2}}{4}+5U+C

so we can substitute U back, so we get:

\int xln(x+5)dU=(\frac{(x+5)^{2}}{2}-5(x+5))ln(x+5)-\frac{(x+5)^{2}}{4}+5(x+5)+C

and now we can simplify:

\int xln(x+5)dU=(\frac{x^{2}}{2}+5x+\frac{25}{2}-25-5x)ln(5+x)-\frac{x^{2}+10x+25}{4}+25+5x+C

\int xln(x+5)dU=(\frac{x^{2}-25}{2})ln(5+x)-\frac{x^{2}}{4}-\frac{5x}{2}-\frac{25}{4}+25+5x+C

\int xln(x+5)dU=(\frac{x^{2}-25}{2})ln(5+x)-\frac{x^{2}}{4}+\frac{5x}{2}+C

notice how all the constants were combined into one big constant C.

7 0
3 years ago
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