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2 years ago

A human hair is approximately 40 microns (um) wide. If 1 um is equal to 10

Mathematics

1 answer:

Natasha2012 [34]2 years ago

5 0

Answer:

D 40,000nm

Step-by-step explanation: 1nm/10^-9m * 10^-6/1um = 10^3 nm/um

Therefore in 40 microns there are:

40um * 10^3 nm/um = 40 * 10^3 nm = 40,000 nm

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What are the side lengths of a rectangle if the area is 40 sq. Ft and the perimeter is 28 ft

VMariaS [17]

40 can be gotten by multiplying 10 & 4

28 can be found by adding 10 + 10 + 4 + 4

so the side lengths are 4 & 10

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3 years ago

Which correlation coefficient below is most likely represented on the graph

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3 years ago

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Which expression is equivalent to 2x + x^2 + 3x + 5x^2 - 10x?

Nonamiya [84]

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3 years ago

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Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3>Explanation:</h3>

Calculate the slope with two given coordinate points by using rise over run.

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

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

$- 1 = \frac{3}{2} ( - 4) + b$

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

$y = \frac{3}{2} x + 5$

<h3>Answer</h3>

$\large \boxed{y = \frac{3}{2} x + 5}$

If you have any questions related to the answer, feel free to ask via comment.

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3 years ago

Please help 30 points

leva [86]

Wow this question is very difficult,hold up

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3 years ago