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3 years ago

Rewrite 7+ square root-121 in complex number notation

Mathematics

1 answer:

marin [14]3 years ago

6 0

$7 + \sqrt{-121} = 7 + 11i$ because we define $\sqrt{-1} = i$

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What are the excluded values of the function? y=2/(x^2-4)

Tresset [83]

Excluded values are any values of x that make the denominator equal zero. In this case, -2 and 2 are excluded values.

3 0

2 years ago

Calculate the values of x and y.

Oduvanchick [21]

Step-by-step explanation:

the dimension for the output isn't correct.

when u multiply 2x2 matrix by 2x1 matrix, the output matrix must have dimensions of 2x1

8 0

2 years ago

An English professor assigns letter grades on a test according to the following scheme. A: Top 14% of scores B: Scores below the

NeX [460]

Answer:

Grades between 62 and 64 result in a D grade.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 71.9, \sigma = 7.8$

Find the numerical limits for a D grade.

D: Scores below the top 84% and above the bottom 10%

So below the 100-84 = 16th percentile and above the 10th percentile.

16th percentile:

This is the value of X when Z has a pvalue of 0.16. So X when Z = -0.995.

$Z = \frac{X - \mu}{\sigma}$

$-0.995 = \frac{X - 71.9}{7.8}$

$X - 71.9 = -0.995*7.8$

$X = 64$

10th percentile:

This is the value of X when Z has a pvalue of 0.1. So X when Z = -1.28.

$Z = \frac{X - \mu}{\sigma}$

$-1.28 = \frac{X - 71.9}{7.8}$

$X - 71.9 = -1.28*7.8$

$X = 62$

Grades between 62 and 64 result in a D grade.

6 0

3 years ago

Which of the following statements is true about the division expression 686.54 ÷ a? A. If a is a number greater than 686.54, the

borishaifa [10]

Answer:

D-- if a is a number between 0 and 1, the quotient will be greater

Step-by-step explanation:

5 0

3 years ago

Write three ordered pairs for direct variation relationship where y= 12 when x= 16

Kruka [31]

Ordered pairs that work for this direct variation are (4, 3), (8, 6) and (12, 9).

In order to find these, we must first find the value of the direct variation coefficient. We can do that using the base equation y = kx and then by plugging in to find k.

y = kx

12 = k(16)

3/4 = k

Now that we have k, we can model the equation as y = 3/4x. We can also find any number of ordered pairs by using the x value and finding the y value. All of the above answers work.

3 0

3 years ago