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3 years ago

Simplify the following expression:

Mathematics

1 answer:

sveta [45]3 years ago

5 0

9514 1404 393

Answer:

D. 28 +10i

Step-by-step explanation:

As with any "collect terms" problem, you first identify the like terms, then add their coefficients. You can start with either the real or the imaginary terms to obtain a result that will point you to the correct answer choice. Of course, the distributive property works in the usual way.

(3i+ 4) -i + 4(6 +2i) = 3i +4 -i +24 +8i . . . . eliminate parentheses

= (4 +24) +(3 -1 +8)i . . . . . . . group like terms

= 28 +10i

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Answer:

Step-by-step explanation:

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2 years ago

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Alexxandr [17]

Answer:

a) We can calculate the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X= \frac{350+ 70+ 65 +50+ 60}{5} =119$

And for the median first we need to order the dataset on increasing way:

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Since the sample size is an odd number we can calculate the median as the middle position for the dataset, for this case the 3th position and we got:

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Step-by-step explanation:

For this case we have the following data:

350, 70, 65, 50, 60

Part a

We can calculate the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X= \frac{350+ 70+ 65 +50+ 60}{5} =119$

And for the median first we need to order the dataset on increasing way:

50, 60, 65, 70, 350

Since the sample size is an odd number we can calculate the median as the middle position for the dataset, for this case the 3th position and we got:

Median = 65

Part b

For this case we can see that we have an outlier present in the data 350, and for this case if we want to give a measure of central tendency is better use the median since this meaure is not affected by outliers. So Lauren should use the median.

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2 years ago

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Answer:

Step-by-step explanation:

According to figure, 

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=> 3x + 90 = 180

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2 years ago

Read 2 more answers

Find the volume of the figure. Round to the nearest tenth if necessary. 3 yd 3 yd 10 yd

MrMuchimi

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Step-by-step explanation:

10 by 3 by 3 is 90

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2 years ago

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kap26 [50]

Answer:

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2 years ago