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3 years ago

NEED HELP ! 20 POINTS

Mathematics

1 answer:

prohojiy [21]3 years ago

8 0

If $z=1-i$ , then $|z|=\sqrt{1^2+(-1)^2}=\sqrt2$ and $\arg z=-\dfrac\pi4$ because $z$ lies in the fourth quadrant.

By DeMoivre's theorem,

$z=|z|e^{i\arg z}\implies z^{10}=(\sqrt2)^{10}e^{-i10\pi/4}=32e^{-i5\pi/2}=32e^{-i\pi/2}=-32i$

so the answer is B.

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A small business ships specialty homemade candies to anywhere in the world. Past records indicate that the weight of orders is n

Fantom [35]

Answer:

90% confidence interval for the true mean weight of orders is between a lower limit of 103.8645 grams and an upper limit of 116.1355 grams.

Step-by-step explanation:

Confidence interval for true mean weight is given as sample mean +/- margin of error (E)

sample mean = 110 g

sample sd = 14 g

n = 16

degree of freedom = n - 1 = 16 - 1 = 15

confidence level = 90% = 0.9

significance level = 1 - C = 1 - 0.9 = 0.1 = 10%

critical value (t) corresponding to 15 degrees of freedom and 10% significance level is 1.753

E = t × sample sd/√n = 1.753×14/√16 = 6.1355 g

Lower limit of sample mean = sample mean - E = 110 - 6.1355 = 103.8645 g

Upper limit of sample mean = sample mean + E = 110 + 6.1355 = 116.1355 g

90% confidence interval is (103.8645, 116.1355)

4 0

3 years ago

Read 2 more answers

How does the volume of an oblique cone change if the height is reduced to 2/3 of its original size and the radius is doubled

spayn [35]

The volume of oblique cone = $\frac{1}{3} \pi r^{2} h$

Now radius is doubled is now it is 2r

And height is reduced to 2/3 of its original size that is 2/3 h

So plugging the values we get volume

New Volume = $\frac{1}{3} \pi (2r)^2 (\frac{2}{3} h)$

= $\frac{1}{3} \pi 4r^2 (\frac{2}{3} h) = \frac{8}{6} \pi r^{2} h =\frac{8}{2} (\frac{1}{3} \pi r^{2} h )$ $=4*(\frac{1}{3} \pi r^{2} h )$

It means the volume becomes 4 times

3 0

4 years ago

Apa-bear weighs 250 lb. Mama-bear weighs 50 pounds less than Papa-bear does. Their 2 cubs weigh 80 pounds each. What is the tota

o-na [289]

Given :

Apa-bear weighs 250 lb.

Mama-bear weighs 50 pounds less than Papa-bear does.

Their 2 cubs weigh 80 pounds each.

To Find :

The total weight of the Bear family .

Solution :

Weight of mama bear = $250-50\ lb=200\ lb$ .

Total weight is the sum of all all weight .

$W=\text{Weight of papa-bear + weight of mama-bear + weight of 2 cubs}$

$W=250+200+2\times 80\\\\W=250+200+160\\\\W=610 \ lb$

Therefore , total weight of the Bear family is 610 lb .

Hence , this is the required solution .

5 0

3 years ago

Write the rule of the transformation

Ratling [72]

Answer:

(x + 5, y + 1)

Step-by-step explanation:

As we can see, what we have is a translation

let us pick a point

G( -5,-2)

To;

G’(0,-1)

so the shift on the x-axis is;

(0-(-5)) = 5

shift on the y-axis is;

(-1-(-2) = 1

we have a rightward shift of 5 units on the x-axis and 1 unit on the y-axis

So we have the rule as;

(x + 5, y + 1)

3 0

3 years ago

Oh please help me with this!!!

Vesna [10]

Answer:

x+74=180

x=180-74

x=106

x=4y+22

106-22=4y

84/4=y

21=y

y=21

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers