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Svetlanka [38]
3 years ago
12

Order the values from least to greatest. -21/2 -1/2, |1/2|, 1 1/2, |-2|, |-2 1/2|​

Mathematics
1 answer:
kvv77 [185]3 years ago
4 0

Answer:

3

Step-by-step explanation:

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Determine in which quadrant the product of 5(cos3pi/8 + isin 3pi/8) and sqrt 2(cos pi/12 + sin pi/12) lies.
ohaa [14]
When you multiply two complex numbers given in polar form, the argument of the product is the sum of the arguments of the factors. Meanwhile, the modulus of the product is the product of the moduli of the factors.


In this case, you'd have

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and the modulus would simply be 5\sqrt2. Since

\dfrac{11\pi}{24}

we would expect the final product to fall in the first quadrant.
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3 years ago
Which of the following statements must be true about this diagram?
vaieri [72.5K]

Answer:

A, C, D

Step-by-step explanation:

A, C, D

3 0
2 years ago
PLEASE HELP!<br> ON A TEST!<br> (Show work)
Fiesta28 [93]

Answer:

Um what is the question on the test?

6 0
3 years ago
The average student-loan debt is reported to be $25,235. A student believes that the student-loan debt is higher in her area. Sh
yulyashka [42]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 25235

For the alternative hypothesis,

µ > 25235

This is a right tailed test.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 100,

Degrees of freedom, df = n - 1 = 100 - 1 = 99

t = (x - µ)/(s/√n)

Where

x = sample mean = 27524

µ = population mean = 25235

s = samples standard deviation = 6000

t = (27524 - 25235)/(6000/√100) = 3.815

We would determine the p value using the t test calculator. It becomes

p = 0.000119

Since alpha, 0.05 > than the p value, 0.000119, then we would reject the null hypothesis. There is sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area.

6 0
3 years ago
Which is more, 3 pounds or 50 ounces?
Luba_88 [7]

50 ounces = 3.125 pounds Alternative conversion We can also convert by utilizing the inverse value of the conversion factor. In this case 1 pound is equal to 0.32 × 50 ounces. hope this helps you!! <3

6 0
2 years ago
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