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2 years ago

The 12th roots of unity have arguments that are multiples of _____.

Mathematics

2 answers:

vodomira [7]2 years ago

6 0

Unity is any complex number which when raised to the power 'n' gives 1. Unity means angle around a point.

the angle is 360

for 12th root of unity, we divide the angle in 12 parts, so each part = 360/12= 30

so the arguments of 12th root of unity are multiples of 30 degrees.

kirill [66]2 years ago

5 0

360/12 = 30deg...so the arguments are multiples of 30deg.

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A phone company offers two monthly plans. Plan A costs $23 plus an additional $0.12 for each minute of calls. Plan B costs $18 p

Alona [7]

Answer:

250 minutes of calling will cost same using both plans.

$53

Step-by-step explanation:

Please consider the complete question.

A phone company offers two monthly plans. Plan A costs $23 plus an additional $0.12 for each minute of calls. Plan B costs $18 plus an additional $0.14 of each minute of calls. For what amount of calling do the two plans cost the same? What is the cost when the two plans cost the same?

Let x represent the number of call minutes.

The total cost of calling for x minutes using plan A would be cost of x minutes plus fixed charge that is $0.12x+23$ .

The total cost of calling for x minutes using plan B would be cost of x minutes plus fixed charge that is $0.14x+18$ .

To find the number of minutes for which both plans will have same cost, we will equate total cost of x minutes for both plans and solve for x.

$0.14x+18=0.12x+23$

$0.14x-0.12x+18=0.12x-0.12x+23$

$0.02x+18=23$

$0.02x+18-18=23-18$

$0.02x=5$

$\frac{0.02x}{0.02}=\frac{5}{0.02}$

$x=250$

Therefore, calling for 250 minutes will cost same using both plans.

Upon substituting $x=250$ in expression $0.14x+18$ , we will get:

$0.14(250)+18=35+18=53$

Therefore, the cost will be $53, when the two plans cost the same.

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2 years ago

a cleaning service charges an hourly rate plus a flat fee of $15 for supplies. philip uses the service for 3.5 hours for his spr

Sergeu [11.5K]

Using linear function concepts, it is found that he can correctly determine the hourly rate as follows:

subtract the supply fee, 15 dollars from the total cost, then, divide the difference by the number of hours.

<h3>What is a linear function?</h3>

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, which can also be interpreted as the initial value of a function that is valid only for $x \geq 0$ , such as is the case in this problem.

The flat fee is of $15, hence b = 15, then:

$y = mx + 15$

Philip uses the service for 3.5 hours for his spring cleaning, and his total is $232, hence when x = 3.5, y = 232, so we use it to find the hourly rate m.

$y = mx + 15$

$232 = 3.5m + 15$

$m = \frac{232 - 15}{3.5}$

Hence, the correct option is:

subtract the supply fee, 15 dollars from the total cost, then, divide the difference by the number of hours.

You can learn more about linear function concepts at brainly.com/question/24808124

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2 years ago

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Answer:

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2 years ago

!!PLS HELP I WILL GIVE BRAINLEST!!

shutvik [7]

they amount of money are not the same

reason why;

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2 years ago