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givi [52]
3 years ago
7

How many times does 6 go into 31

Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0
5 times because 6*5=30
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Need help question #3. Show steps please
Oksana_A [137]

Answer:

B.

Step-by-step explanation:

We are given:

\displaystyle \int \sqrt{x}\Big(9x^3-2\sqrt{x}+\frac{8}{x}\Big)\, dx

And we want to select its equivalent form.

Note that A is not valid. No integration property allows us to separate factors unless that factor is a constant.

We can simply rewrite and then distribute. First, by rewriting:

\displaystyle =\int x^{1/2}\Big(9x^3-2x^{1/2}+8x^{-1}\Big)\, dx

Distribute. Recall exponent properties;

\displaystyle =\int(9x^{3+1/2}-2x^{1/2+1/2}+8x^{-1+1/2})\, dx

Simplify:

\displaystyle=\int9x^{7/2}-2x+8x^{1/2}\, dx

This can then be separated (since its addition/subtraction) and integrated individually.

Hence, our answer is B.

8 0
2 years ago
A jacket is marked down 55% off the original price. If the original price was $160.00, what is the sale price
allochka39001 [22]

Answer:

$88

Step-by-step explanation:

i used the calculator on my computer.

5 0
3 years ago
What is the volume of a box with a length of 3 and 3/4, width of 3, and height of 3 and 1/4?
uysha [10]

Answer:

V= 36 9/16 or (decimal form) 36.5625

Step-by-step explanation:

V=length x width x height

5 0
3 years ago
Give the equation of a line that goes through the point ( − 21 , 2 ) and is perpendicular to the line 7 x − 4 y = − 12 . Give yo
nlexa [21]

Given:

Equation of line 7x-4y=-12.

To find:

The equation of line  that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.

Solution:

The given equation of line can be written as

7x-4y+12=0

Slope of line is

\text{Slope}=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}

m_1=-\dfrac{7}{(-4)}

m_1=\dfrac{7}{4}

Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is

m_1m_2=-1

m_2=-\dfrac{1}{m_1}

m_2=-\dfrac{4}{7}           [\because m_1=\dfrac{7}{4}]

Now, the slope of perpendicular line is m_2=\dfrac{4}{7} and it goes through (-21,2). So, the equation of line is

y-y_1=m_2(x-x_1)

y-2=-\dfrac{4}{7}(x-(-21))

y-2=-\dfrac{4}{7}x-\dfrac{4}{7}(21)

y-2=-\dfrac{4}{7}x-12

y=-\dfrac{4}{7}x-12+2

y=-\dfrac{4}{7}x-10

Therefore, the required equation in slope intercept form is y=-\dfrac{4}{7}x-10.

7 0
3 years ago
Find the greatest common factor: 24y^8 + 6y^6
Marrrta [24]

Find the Greatest Common Factor (GCF)

<u>GCF = 6y^6</u>

Factor out the GCF. (Write the GCF first. Then, in parenthesis divide each term by the GCF.)

6y^6(24y^8/6y^6 + 6y^6/6y^6)

Simplify each term in parenthesis

<u>6y^6(4y^2 + 1)</u>

7 0
3 years ago
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