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lorasvet [3.4K]

3 years ago

5

ali will rent a car for the weekend. he can choose one of two plans. the first plan has an initial fee of 55$ and costs an addit

ional $0.70 per mile driven. the second plan has no initial fee but costs 0.90$ per mile driven

1 answer:

sp2606 [1]3 years ago

7 0

Answer:

How far does Ali want to go

Step-by-step explanation:

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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

3 years ago

Calculate the answer to the appropriate number of significant figures. (do not convert to scientific notation) 6.47 x 64.5

telo118 [61]

Answer:

$6.47 \times 64.5 \\ = 417.315$

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3 years ago

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A circle has a mass of 3 grams and a triangle has a mass of 5 grams write an equation for the hanger

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Answer:

The fraction can not be reduced, but it can be converted to decimal form.

Exact Form:

3/5

Decimal Form: 0.6

Step-by-step explanation:

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3 years ago

Which sign makes the statement true?<br> 3<br> 65.7%<br> 4.<br> <<br> =

Genrish500 [490]

Answer:

The middle one

Step-by-step explanation:

3/4=75%

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3 years ago

Select two ratios that are equivalent to 7:10. Choose 2 answers: (Choice A) 21:30, (Choice B) 17:20, (Choice C) 10:13, (Choice D

snow_lady [41]

Answer:

A and E

Step-by-step explanation:

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