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vladimir2022 [97]
1 year ago
8

Evaluate the expression (9 + 14i) + (7 – 11i) and write the result in the form a + bi.

Mathematics
1 answer:
Nutka1998 [239]1 year ago
7 0

Answer:

16+3i

Step-by-step explanation:

(9+ 14¡) + (7 - 11¡)

9+ 14¡ + 7 - 11¡

16 + 3i

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What is the equation, in slope-intercept form, of the line that is perpendicular to the line
Len [333]

Answer:

y = x - 1 (third answer choice)

Step-by-step explanation:

From the given we see immediately that the slope of this line is -1.  The slope of a line perpendicular to this one is +1, which is the negative reciprocal of -1.  The slope-intercept form is y = mx + b.  To find b, the y-intercept, we make the following substitutions:  m = -1, y = -2, x = -2:

-2 = +1(-2) + b, or +1 = 2 + b, or b = -1

and so the desired equation is y = x - 1 (third answer choice)

4 0
3 years ago
The amount of money invested or borrowed is known as:
devlian [24]

B:Interest

Hoped this helped have a nice day

8 0
2 years ago
Read 2 more answers
Match each scenario with the type of correlation it shows
tiny-mole [99]

Answer:

1- Positive correlation

2- Negative correlation

3- No correlation

Step-by-step explanation:

1- The more a player practices free throws, the better they will be at it and therefore will make more free throws. Thus, there is a positive correlation between the time spent practicing and the  number of free throws made.

2- Since each item bought has a cost, the more items are bought, lower will be the checking account balance. Thus, there is a negative correlation the number of items bought and the  checking account balance.

3- There is no explicit correlation between players heights and their ability to hit a baseball therefore it is fair to assume that there is no correlation between the height of baseball player and the  number of hits made

7 0
2 years ago
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha
natita [175]

Answer:

Step-by-step explanation:

Given that:

Population Mean = 7.1

sample size = 24

Sample mean = 7.3

Standard deviation = 1.0

Level of significance = 0.025

The null hypothesis:

H_o: \mu = 7.1

The alternative hypothesis:

H_a: \mu > 7.1

This test is right-tailed.

degree \ of \  freedom=  n - 1 \\ \\ degree \  of \  freedom  =  24 - 1 \\ \\ degree \ of \  freedom   = 23

Rejection region: at ∝ = 0.025 and df of 23, the critical value of the right-tailed test t_c = 2.069

The test statistics can be computed as:

t = \dfrac{ \hat X - \mu_o}{\dfrac{s}{\sqrt{n}}}

t = \dfrac{ 7.3-7.1}{\dfrac{1}{\sqrt{24}}}

t = \dfrac{0.2}{0.204}

t = 0.980

Decision rule:

Since the calculated value of t is lesser than, i.e t = 0.980 < t_c = 2.069, then we do not reject the null hypothesis.

Conclusion:

We conclude that there is insufficient evidence to claim that the population mean is greater than 7.1 at 0.025 level of significance.

6 0
3 years ago
Help finding answer
ratelena [41]

the answer for this question is cot theta is equal to 24/ 7

7 0
2 years ago
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