Simplify the expression

Mathematics

1 answer:

Darina [25.2K]3 years ago

4 0

The answer is D because the radical is cubed which means you have to break down whatever is in the inside and group it into 3s and take is out. Ex. 81 can be split into 9 and 9 and further 3x3x3x3. from here you can take out 3 3s and put them on the outside and have one 3 left in the inside.

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What is the equation of the lines that passes through the points (-2, -3) and (4, -5)?

antoniya [11.8K]

Since all the options are in the slope intercept form, we find the equation using the formula,

$y = mx + c$
We can find m, the slope using the formula,

$m = \frac{ change \: in \: y }{change \: in \: x}$
$m = \frac{ - 5 - - 3}{4 - - 2}$
$m = \frac{ - 2}{6} = - \frac{1}{3}$

On substitution,

$y = - \frac{ 1}{3} x + c$

We use any of the points, say (-2,-3) to determine the value of c.

$- 3 = - \frac{1}{3} ( - 2) + c$
$c = - \frac{11}{3}$

The equation is therefore,

$y = - \frac{1}{3} x - \frac{11}{3}$

The correct answer is D.

6 0

3 years ago

A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is kno

Anton [14]

Answer:

4.464 ml

Step-by-step explanation:

Given that:

mean (μ) = 5 mm, standard deviation (σ) = 0.4 ml

The z score is a score in statistics used to determine by how many standard deviation the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if the z score is negative then the raw score is below the mean It is given by:

$z=\frac{x-\mu}{\sigma}$