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Vedmedyk [2.9K]

4 years ago

6

Compare the values of the underline digits. 2,402 and 64,513 the value of 4 in _________ is _ times the values of

4 in _____________.

1 answer:

Ludmilka [50]4 years ago

7 0

64,513; 10; 2,402. The 4 in 64,513 is essentially 4,000 whereas the 4 in 2,402 is only 400. 400(10)=4000.

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NEED HELP ASAP PLS !!!

frozen [14]

Answer:

$2x + y = 1\:or\:y = -2x + 1$

Step-by-step explanation:

First find the <em>rate of change</em> [<em>slope</em>]:

$\frac{-y_1 + y_2}{-x_1 + x_2} = m$

$\frac{-5 - 7}{2 + 4} = -\frac{12}{6} = -2$

Then plug these coordinates into the Slope-Intercept Formula instead of the <em>Point-Slope Formula</em> because you get it done much swiftly. It does not matter which ordered pair you choose:

−7 = −2[4] + b

−8

$1 = b \\ \\ y = -2x + 1$

If you want it in <em>Standard Form</em>:

y = −2x + 1

+2x + 2x

_________

$2x + y = 1$

_______________________________________________

5 = [−2]² + b

4

$1 = b \\ \\ y = -2x + 1$

y = −2x + 1

+2x + 2x

_________

$2x + y = 1$

** You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.

I am joyous to assist you anytime.

4 0

3 years ago

Use the disk method or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs

JulsSmile [24]

Answer:

1) V = 12 π ㏑ 3

2) $\mathbf{V = \dfrac{328 \pi}{9}}$

Step-by-step explanation:

Given that:

the graphs of the equations about each given line is:

$y = \dfrac{6}{x^2}, y =0 , x=1 , x=3$

Using Shell method to determine the required volume,

where;

shell radius = x; &

height of the shell = $\dfrac{6}{x^2}$

∴

Volume V = $\int ^b_{x-1} \ 2 \pi ( x) ( \dfrac{6}{x^2}) \ dx$

$V = \int ^3_{x-1} \ 2 \pi ( x) ( \dfrac{6}{x^2}) \ dx$

$V = 12 \pi \int ^3_{x-1} \dfrac{1}{x} \ dx$

$V = 12 \pi ( In \ x ) ^3_{x-1}$

V = 12 π ( ㏑ 3 - ㏑ 1)

V = 12 π ( ㏑ 3 - 0)

V = 12 π ㏑ 3

2) Find the line y=6

Using the disk method here;

where,

Inner radius $r(x) = 6 - \dfrac{6}{x^2}$

outer radius R(x) = 6

Thus, the volume of the solid is as follows:

$V = \int ^3_{x-1} \begin {bmatrix} \pi (6)^2 - \pi ( 6 - \dfrac{6}{x^2})^2 \end {bmatrix} \ dx$

$V = \pi (6)^2 \int ^3_{x-1} \begin {bmatrix} 1 - \pi ( 1 - \dfrac{1}{x^2})^2 \end {bmatrix} \ dx$

$V = 36 \pi \int ^3_{x-1} \begin {bmatrix} 1 - ( 1 + \dfrac{1}{x^4}- \dfrac{2}{x^2}) \end {bmatrix} \ dx$

$V = 36 \pi \int ^3_{x-1} \begin {bmatrix} - \dfrac{1}{x^4}+ \dfrac{2}{x^2} \end {bmatrix} \ dx$

$V = 36 \pi \int ^3_{x-1} \begin {bmatrix} {-x^{-4}}+ 2x^{-2} \end {bmatrix} \ dx$

Recall that:

$\int x^n dx = \dfrac{x^n +1}{n+1}$

Then:

$V = 36 \pi ( -\dfrac{x^{-3}}{-3}+ \dfrac{2x^{-1}}{-1})^3_{x-1}$

$V = 36 \pi ( \dfrac{1}{3x^3}- \dfrac{2}{x})^3_{x-1}$

$V = 36 \pi \begin {bmatrix} ( \dfrac{1}{3(3)^3}- \dfrac{2}{3}) - ( \dfrac{1}{3(1)^3}- \dfrac{2}{1}) \end {bmatrix}$

$V = 36 \pi (\dfrac{82}{81})$

$\mathbf{V = \dfrac{328 \pi}{9}}$

The graph of equation for 1 and 2 is also attached in the file below.

5 0

4 years ago

7 d = how many hours

vredina [299]

24 hours in a day
24x7=168 hours

3 0

4 years ago

Read 2 more answers

2) find an equation of the line theough the given

Olenka [21]

Answer:

y = -2x + 2

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (2, -1)

Points on the y-axis (y1, y2) = (-2, 4)

To find the equation of line in slope intercept form;

First of all, we would determine the slope of the line.

Mathematically, slope is given by the formula;

$Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis}$

$Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}}$

Substituting into the equation, we have;

$Slope, m = \frac {4 - (-2)}{-1 -2}$

$Slope, m = \frac {4 + 2}{-1 -2}$

$Slope, m = \frac {6}{-3}$

Slope, m = -2

Next, we would use the following formula to find the equation of the line;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - (-2) = -2(x - 2)

y + 2 = -2x + 4

y = -2x + 4 - 2

y = -2x + 2 = mx + c

8 0

3 years ago

Amin fills up his gas tank with 6 gallons of gas for a cost of $13. How much would it cost to fill a 16-gallon tank?

kotykmax [81]

Answer:

34.66

Step-by-step explanation:

divide 13 by 6 then multiply that by 16

4 0

3 years ago