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mina [271]
3 years ago
7

Simplify the expression to a + bi form: (-7 - 3i) + (-5 + 10i)

Mathematics
2 answers:
Harman [31]3 years ago
6 0

Answer:

-12+7i

Step-by-step explanation:

(-7-3i)+(-5+10i)

-7-3i-5+10i

-7-5-3i+10i

-12-3i+10i

-12+7i

Please mark me as Brainliest if you're satisfied with the answer.

nignag [31]3 years ago
6 0

Answer:

→( - 7 - 3i) +( -  5 + 10i) \\  =  - 7 - 3i - 5 + 10i \\  =  -  7 - 5 - 3i + 10i \\  =  \boxed{ - 12 + 7i}✓

  • -<u>12 + 7i</u> is the right answer.
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What is 8c + 10b ÷ 7a if c = 7, b = 12, and a = 5 Please give a full and good explanation for a brainliest...​
PolarNik [594]

Answer:

141  5/7

Step-by-step explanation:

8c + 10b ÷ 7a

Let c = 7, b = 12, and a = 5

8*7 + 10*12 ÷ 7*5

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56+120 ÷7*5

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392/7 + 600/7

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Change from an improper fraction to a mixed number

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8 0
3 years ago
Read 2 more answers
Convert 15.5 feet to<br>meters. ​
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Step-by-step explanation:

15.5 feet to meter =4.7244

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3 years ago
The management of a department store is interested in estimating the difference between the mean credit purchases of customers u
Mkey [24]

Answer:

Step-by-step explanation:

1) Point estimate is the difference between the sample means. Therefore,

A point estimate for the difference between the mean purchases of the users of the two credit cards is = 140 - 125 = $15

2) Margin of error = z√(σ²/n1 + σ2²/n2)

Where

z is the z score from the 95% confidence level. From the normal distribution table, z = 1.96

s1 and s2 are standard deviation for both customers respectively.

Standard deviation = √variance

σ1 = √100 = 10

σ2 = √641 = 25.32

Margin of error = 1.96√(10²/64 + 25.32²/49 = 7.5

At 95% confidence, the margin of error is 7.5

3) The confidence interval for the difference of two population means is expressed as point estimate ± margin of error

Confidence interval = 15 ± 7.5

The upper boundary for the confidence interval is

15 - 7.5 = 7.5

The lower boundary for the confidence interval is

15 + 7.5 = 22.5

A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is $7.5 to $22.5

4) Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)

z = (x1 - x2)/(√σ1²/n2 + σ2²/n2)

z = (140 - 125)/√10²/64 + 25.32²/49

z = 1.02

The test statistic for an alpha of .05 is 1.02

4 0
3 years ago
PLEASEE HELPP WILL BRAINLIST why would the average rate of the change be equal to zero from x = -2 to x = 6?
sweet-ann [11.9K]

Answer:

x=5

Step-by-step explanation:

I was working on this problem also.

Maybe my version will help, too.

You need to sketch f given the information you have.

f'(x) is approximately a a cubic polynomial which means f will look like a quartic (think W)

f slopes down (negative slope) to x=2 and then slopes down again...this is a horizontal tangent.

f then slopes down to to x=5 where is has a minimum and then slopes up.

if im not wrong

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