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3 years ago

What is the total cost of buying several shirts at 24.95 each

Mathematics

1 answer:

sammy [17]3 years ago

8 0

It depends how many T-shirt’s your purchasing at the price I did the math from 1 shirt to 6 shirts costs..hope this helps

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Precal help if you could could you answer both. Me finishing this helps me graduate.

oee [108]

Exercise 1:

The easiest way to compute powers of complex numbers is to write them in the form

$z = \rho e^{i\theta} = \rho(\cos(\theta)+i\sin(\theta))$

In this form, you have

$z^n = \rho^n e^{in\theta} = \rho^n(\cos(n\theta)+i\sin(n\theta))$

The magnitude of the number is given by

$z=a+bi \implies \rho = \sqrt{a^2+b^2}$

So, we have

$z=-1+\sqrt{3}i \implies \rho = \sqrt{1+3}=2$

As for the angle, we have

$z=a+bi \implies \theta = \text{atan2}\dfrac{b}{a}$

So, we have

$z=-1+\sqrt{3}i \implies \theta = \text{atan2}\left(\dfrac{-\sqrt{3}}{-1}\right) = -\dfrac{2\pi}{3}$

Finally,

$z=-1-\sqrt{3}i = 2\left(\cos\left( -\dfrac{2\pi}{3}\right) + i\sin\left( -\dfrac{2\pi}{3}\right)\right) \implies z^6 = 2^6\left(\cos\left( -4\pi\right) + i\sin\left(-4\pi\right)\right) = 64$

Exercise 2:

You simply have to compute the trigonometric function:

$\cos\left(-\dfrac{\pi}{4}\right) = \dfrac{\sqrt{2}}{2},\quad \sin\left(-\dfrac{\pi}{4}\right) = -\dfrac{\sqrt{2}}{2}$

So, we have

$z = \sqrt{2}\left(\dfrac{\sqrt{2}}{2} - i\dfrac{\sqrt{2}}{2}\right) = 1-i$

7 0

3 years ago

What is three times the sum of a number and 8 is 6?

mars1129 [50]

Answer:

Step-by-step explanation:

to find the sum, you need to add, so in this case, we're finding the sum of 8 and 6, so it would be

8+6=14

now, we have to times 14 by 3

14×3=42

so the answer is 42

5 0

3 years ago

Solve the following system by ELIMINATION.<br><br> 6x + 10y= 16<br> 2x + 20y= -28

Otrada [13]

X = 6 , y = -2
hope this helps

7 0

2 years ago

Read 2 more answers

27.6 inches of rain fell over a 100 day period. What was the average amount of rain that fell per day?

egoroff_w [7]

27.6/100 = 0.276
The average amount of rain that fell is 0.276 inches per day.

3 0

3 years ago

The employee who created the chart made an error when computing the number of pounds of meat for one of the serving sizes .for w

lozanna [386]

Answer: b. 50

Step-by-step explanation:

Hence the employee made an error for 50 serving size.

4 0

3 years ago