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3 years ago

1/6 to the third power

Mathematics

2 answers:

GenaCL600 [577]3 years ago

3 0

I believe the answer is 1/216

inysia [295]3 years ago

3 0

It 0.0046 i hope this help

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A kayaker moves 32 meters northward, then 6 meters

netineya [11]

Answer:

distance moved by kayaker is 54m

4 0

4 years ago

There are 12 pieces of pie that are going to be split between 5 people. How many slices of pie does each person get? Choose the

e-lub [12.9K]

Answer:

2.4 (2 2/5) pieces of pie per person.

Step-by-step explanation:

All that is needed to be done is simple division. Take your pieces of pie, (12) and divided it by the amount of people (5). This will give you 2.4. This can be turned into 24/10, and can be simplified twice. First to 12/5, then to 2 2/5.

Hope this helps!

8 0

2 years ago

Arnoldo needs to write this system in slope-intercept form. Which shows how he could do that?

Jobisdone [24]

Answer:

$y = \frac{3}{2}x - 3$

$y = \frac{1}{8} x - \frac{7}{8}$

Step-by-step explanation:

The given system is

3x-2y=6

0.4(20y+15)=x

The slope intercept form is y=mx+c.

For the first equation, 3x-2y=6, we add -3x to both side -2y=-3x+6

$y = \frac{3}{2}x - 3$

For 0.4(20y+15)=x, we expand to get:

$8y + 7 = x$

$8y= x - 7$

Divide through by 8

$y = \frac{1}{8}x - \frac{7}{8}$

Therefore the system in slope-intercept form is:

$y = \frac{3}{2}x - 3$

$y = \frac{1}{8}x - \frac{7}{8}$

5 0

4 years ago

Read 2 more answers

Write the equation of a parabola whose focus is at (-7, 3) and whose directrix is the line x = -3.

Sav [38]

Check the picture below.

now, let's keep in mind that, the vertex is half-way between the focus point and the directrix, it's a "p" distance from each other.

since this horizontal parabola is opening to the left-hand-side, "p" is negative, notice in the picture, "p" is 2 units, and since it's negative, p = -2.

its vertex is half-way between those two guys, so that puts the vertex at (-5, 3)

$\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ 4p(y- k)=(x- h)^2 \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-5\\ k=7\\ p=-2 \end{cases}\implies 4(-2)[x-(-5)]=[y-7]^2 \\\\\\ -8(x+5)=(y-7)^2\implies x+5=\cfrac{(y-7)^2}{-8}\implies \boxed{x=-\cfrac{1}{8}(y-7)^2-5}$

7 0

4 years ago

How many whole numbers between −32 and 77?

mylen [45]

109 numbers hope this helps :)

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4 years ago

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