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Vera_Pavlovna [14]

3 years ago

14

This graph shows how much Anthony earns babysitting, compared with the number of hours he works. Select the correct statement ab

out the graph.

1 answer:

dimaraw [331]3 years ago

3 0

B. For each hour he works, his earnings go up by $8

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A die is rolled. What is the probality of rolling a 2 or a 6

Jobisdone [24]

%33.33

or

2/6

Because there are 6 sides on a die, and you are given 2 possible sides to roll on. This leaves you with 2/6, which translated to a fraction is %33.33

7 0

3 years ago

Which expression is a cube root of -1+i√3?

Tpy6a [65]

Answer:

<em>The correct option is C.</em>

Step-by-step explanation:

<u>Root Of Complex Numbers</u>

If a complex number is expressed in polar form as

$Z=(r,\theta)$

Then the cubic roots of Z are

$\displaystyle Z_1=\left(\sqrt[3]{r},\frac{\theta}{3}\right)$

$\displaystyle Z_2=\left(\sqrt[3]{r},\frac{\theta}{3}+120^o\right)$

$\displaystyle Z_3=\left(\sqrt[3]{r},\frac{\theta}{3}+240^o\right)$

We are given the complex number in rectangular components

$Z=-1+i\sqrt{3}$

Converting to polar form

$r=\sqrt{(-1)^2+(\sqrt{3})^2}=2$

$\displaystyle tan\theta=\frac{\sqrt{3}}{-1}=-\sqrt{3}$

It's located in the second quadrant, so

$\theta=120^o$

The number if polar form is

$Z=(2,120^o)$

Its cubic roots are

$\displaystyle Z_1=\left(\sqrt[3]{2},\frac{120^o}{3}\right)=\left(\sqrt[3]{2},40^o\right)$

$\displaystyle Z_2=\left(\sqrt[3]{2},40^o+120^o\right)=\left(\sqrt[3]{2},160^o\right)$

$\displaystyle Z_3=\left(\sqrt[3]{2},40^o+240^o\right)=\left(\sqrt[3]{2},280^o\right)$

Converting the first solution to rectangular coordinates

$z_1=\sqrt[3]{2}(\ cos40^o+i\ sin40^o)$

The correct option is C.

8 0

4 years ago

Reduce the fraction to lowest terms.<br> k+7/4k+28=?

Artemon [7]

2 3/4k+28
hope this helps!

8 0

3 years ago

Guadalupe went shopping for a new pair of pants because of a sale. The store was offering a 25% discount. What number should she

madam [21]

Answer:

0.25 is the answer you just move the decimal of the percentage to the left 2 spaces

5 0

3 years ago

Please walk me through how to do this. I got the answer but don't know the steps.

Misha Larkins [42]

It's not factored with rational numbers the polynomial is not factorable with rational numbers

3 0

3 years ago