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2 years ago

What is the value of (StartFraction 3 Over 10 EndFraction) cubed?

Mathematics

2 answers:

ad-work [718]2 years ago

6 0

Answer:

The answer is StartFraction 27 Over 1000 EndFraction or $\\ \frac{27}{1000}$

Step-by-step explanation:

We have here a fraction. In this case, the numerator and the denominator of the fraction must be cubed, that is, both, the numerator and the denominator must be raised to the same exponent, in this case 3 (cubed).

In general, for fractions, this is the general rule that we must to follow to raise some fraction to any exponent.

In the case concerning this question, we have

$\\ (\frac{3}{10})^3$

$\\ \frac{3^3}{10^3}$

$\\ \frac{3*3*3}{10*10*10}$

$\\ \frac{27}{1000}$

So, the value of $\\ (\frac{3}{10})^3 = \frac{27}{1000}$ .

Nostrana [21]2 years ago

4 0

Answer:

27/1000

Step-by-step explanation:

i just took the test

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Find the equation of the line which passes through the point

sammy [17]

Answer:

$y= \frac{1}{5}x- \frac{56}{5}$

Step-by-step explanation:

We want to find the equation of the line that goes through: !6,-10) and is perpendicular to the line

$5x + 3y = 2y - 3$

Let's simplify the equation of the line to get:

$3y - 2y = - 5x + 3$

$y = - 5x + 3$

The slope of this line is -5.

The perpendicular to this line has a slope of

$\frac{1}{5}$

The equation going through (6,-10) is

$y=m(x-x_1)+y_1$

We substitute to get;

$y= \frac{1}{5} (x-6) - 10$

Expand;

$y= \frac{1}{5}x- \frac{6}{5} - 10$

$y= \frac{1}{5}x- \frac{56}{5}$

7 0

2 years ago

Zeek then want to ride his bike to the old spaghetti factory. He wondering if he should bike 1 mile north, then 0.5 miles direct

frosja888 [35]

Answer:

He should travel directly

Step-by-step explanation:

Given

$x = 0.5$ --- East

$y =1$ --- North

If he goes through east north direction, the distance (d) traveled is:

$d = x + y$

$d = 0.5 + 1$

$d = 1.5 mile$

If he travels directly, the distance (d) is:

$d = \sqrt{x^2 + y^2}$ ---- Pythagoras theorem

$d = \sqrt{0.5^2 + 1^2}$

$d = \sqrt{0.25 + 1}$

$d = \sqrt{1.25}$

$d = 1.12mile$

By comparison, he will travel the shortest distance if he travels directly because $1.12 < 1.5$

Hence, he should travel directly

6 0

2 years ago

Keira's older cousin earns $700 a week. Recently he moved into his own apartment. What amount of debt do you think is reasonable

umka21 [38]

Answer:

10,000

Step-by-step explanation:

5 0

2 years ago

Got it wrong :( please help !!!!!!

olya-2409 [2.1K]

180(n-2) = 180(6-2) = 180(4) = 720
sum of interior angles = 720
x = 720 - ( 90+90+152+150+91)
x = 720 - 573
x = 147

answer x = 147

3 0

3 years ago

Suppose the line of best fit for some data points has a slope of 4.915. If the mean of the x-coordinates of the data points is 1

aleksley [76]

The y-intercept of the linear equation of best fit, considering the slope and the means, is of -60.428.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For a line of best-fit, the y-intercept is given by:

$b = \overline{y} - m\overline{x}$

The parameters in this problem are given as follows:

$m = 4.915, \overline{x} = 14.347, \overline{y} = 10.088$

Then:

$b = 10.088 - 4.915(14.347) = -60.428$

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

5 0

1 year ago