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sveta [45]
2 years ago
10

Write (-2 − 2i) + (10 − 4i) as a complex number in standard form.

Mathematics
1 answer:
romanna [79]2 years ago
7 0

Answer:

8-6i

Step-by-step explanation:

complex number in standard form will be in the form of a+bi

(-2 − 2i) + (10 − 4i) , open parenthesis

-2- 2i +10 -4i, group like terms

-2+10 -2i -4i, combine like terms

8 - 6i

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Captain Max flies through Chicago 7 times each week and through Dallas 9 times each week. The expression 7w + 9w shows how many
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16w

Step-by-step explanation:

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3 years ago
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An English professor assigns letter grades on a test according to the following scheme. A: Top 15% of scores B: Scores below the
lisabon 2012 [21]

Answer:

59 to 66

Step-by-step explanation:

Mean test scores = u = 74.2

Standard Deviation = \sigma = 9.6

According to the given data, following is the range of grades:

Grade A: 85% to 100%

Grade B: 55% to 85%

Grade C: 19% to 55%

Grade D: 6% to 19%

Grade F: 0% to 6%

So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.

6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for  0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)

The formula for z score is:

z=\frac{x-u}{\sigma}

For z = -1.56, we get:

-1.56=\frac{x-74.2}{9.6}\\\\ x = 59

For z = -0.88, we get:

-0.88=\frac{x-74.2}{9.6}\\\\ x = 66

Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)

7 0
3 years ago
6(x-2=4(x+3) what does x equal
Delicious77 [7]

Hey mate here is your answer.

➛ 6(x-2) = 4(x+3)

➛ 6x-12 = 4x + 12

➛ 6x - 4x = 12 + 12

➛ 2x = 24

➛ x = \frac{24}{2}

⛬ x = 12

4 0
3 years ago
Two buses are moving towards each other, one at a speed of 40 mph and the other at a speed of 50 mph. How much closer to each ot
Luba_88 [7]

Answer:

180 miles

Step-by-step explanation:

The are moving towards each other at 50 mph and 40 mph which is the same as 90 mph. They are moving 90 mph closer to each other every hour so in 2 hours it would be 180 miles.

5 0
2 years ago
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