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Archy [21]
3 years ago
15

Simplify the expression to a + bi form: (1 – 6i) + (12 + i)

Mathematics
2 answers:
padilas [110]3 years ago
5 0

\sf{13+(-5i) }

Step-by-step explanation:

we have to Simplify the expression(1 – 6i) + (12 + i) to a + bi form

(1 – 6i) + (12 + i)\\\\1-6i+12+i\\\\1+12-6i+i\\\\13-5i\\\\13+(-5i)

Alenkasestr [34]3 years ago
4 0

\\ \sf\longmapsto (1-6i)+(12+i)

\\ \sf\longmapsto 1-6i+12+i

\\ \sf\longmapsto 1+12-6i+i

\\ \sf\longmapsto 13-5i

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I need help fast !!
AysviL [449]
<h2>Answer:</h2>

Luke does a work of 308Nm

<h2>Step-by-step explanation:</h2>

If we have a constant force \vec{F} that acts on a body in the same direction as the displacement \vec{s}, then the work W is defined as the product of the force magnitude F and the displacement magnitude s. In other words:

W=Fs, which is valid for a constant force in direction of straight-line displacement.

In this problem:

F=22N \\ \\ s=14m

Therefore:

W=22\times 14 \\ \\ \boxed{W=308Nm}

3 0
3 years ago
The demand for a daily newspaper at a newsstand at a busy intersection is known to be normally distributed with a mean of 150 an
AURORKA [14]

Answer:

171 newspapers.

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 = 150, \sigma = 25

How many newspapers should the newsstand operator order to ensure that he runs short on no more than 20% of days

The number of newspapers must be on the 100-20 = 80th percentile. So this value if X when Z has a pvalue of 0.8. So X when Z = 0.84.

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

0.84 = \frac{X - 150}{25}

X - 150 = 0.84*25

X = 171

So 171 newspapers.

4 0
3 years ago
Which pair of expressions is equivalent to each other?
Nikolay [14]

Answer:

C

Step-by-step explanation:

4 X 4 X 4 X 4 X 4 and 4⁵

we can write 4 X 4 X 4 X 4 X 4  like 4⁵

4 X 4 X 4 X 4 X 4 = 4⁵

6 0
3 years ago
Read 2 more answers
8th grade math, please help.<br> I’ll give you brainliest if you want.<br><br> -Find the volume-
Alecsey [184]

Answer:

340.34

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What is the value of n?
andrey2020 [161]

Answer:

N = 17

Step-by-step explanation:

In a parallelogram the opposite angles are congruent, hence

4n - 2 = 2n + 32 ( subtract 2n from both sides )

2n - 2 = 32 ( add 2 to both sides )

2n = 34 ( divide both sides by 2 )

n = 17

4 0
2 years ago
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