Can someone please help me with this question please ?

Answer:

A: 4(cos 48° + i sin 48°)

Step-by-step explanation:

The step by step working:

z1 = 20(cos 54° + i sin 54°)

z2 = 5( cos 6° + i sin 69°)

z1/z2 = (20/5)(cos 54° + i sin 54°)/(cos 6° + i sin 69°)

= 4[(cos 54° + i sin 54°)(cos 6° - i sin 6°)] / (cos^2 6° +sin^2 69°)

= 4[(cos 54° cos 6° - sin 54° sin 69°) + i(cos 54°sin 6° + sin 54° cos 6°)]

= 4(cos 48° + i sin 48°) (Using sum and difference identities)

The answer is A: 4(cos 48° + i sin 48°)

Answer:

-14

Step-by-step explanation:

-10-18=-28 -28/2=-14

To calculate the compound interest, use the formula A = P (1 + r/n)^(nt). For the given values, the final amount after 5 years of monthly compounded interest on $2,000 can be calculated.

To calculate the compound interest, we can use the formula:

A = P (1 + r/n)^(nt)

Where:

A = final amount

P = principal amount ($2,000)

r = annual interest rate (3%)

t = time in years (5 years)

n = number of times the interest is compounded per year (12 for monthly compound interest)

Plugging in the values, we have:

A = 2000 (1 + 0.03/12)^(12*5)

Simplifying the equation will give us the final amount after 5 years of monthly compounded interest on $2,000.

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Answer:

192

Step-by-step explanation:

If the mean is 120 and the standard deviation is 24, then 3 standard deviations above the mean would be 24(3) = 72 + 120 = 192.

192 is the score that is 3 standard deviations above the mean.

The term "standard deviation"  refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

Mean= 120

Standard Deviation = 24

So, the score for 3 standard deviations above the mean

= 24(3) + 120

= 72 + 120

= 192.

Hence, 192 is the score that is 3 standard deviations above the mean.

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The probability of rolling a multiple of 3 on all three rolls of a 6-sided number cube is [tex]\( \frac{1}{27} \)[/tex].

To find the probability of rolling a multiple of 3 on all three rolls of a 6-sided number cube, we first need to determine the total number of outcomes and the number of favorable outcomes.

Total outcomes for each roll = 6 (since there are 6 sides on the cube).

Favorable outcomes for a multiple of 3 on each roll = {3, 6} (numbers divisible by 3).

Thus, the probability of rolling a multiple of 3 on each roll is 2 out of 6, or [tex]\( \frac{2}{6} \)[/tex].

Since each roll is independent, we multiply the probabilities of each roll:

[tex]\[ P(\text{multiple of 3 on all rolls}) = \left( \frac{2}{6} \right) \times \left( \frac{2}{6} \right) \times \left( \frac{2}{6} \right) \][/tex]

[tex]\[ P(\text{multiple of 3 on all rolls}) = \left( \frac{2}{6} \right)^3 \][/tex]

[tex]\[ P(\text{multiple of 3 on all rolls}) = \left( \frac{1}{3} \right)^3 \][/tex]

[tex]\[ P(\text{multiple of 3 on all rolls}) = \frac{1}{27} \][/tex]

So, the probability of rolling a multiple of 3 on all three rolls is [tex]\( \frac{1}{27} \)[/tex].

Answer:

C. Yes, because the population values appear to be normally distributed.

Step-by-step explanation:

Answer:

c) yes, because the population values appear to be normally distributed

Step-by-step explanation:

edge 2021

Answer:

The last graph, aka D.)

Step-by-step explanation:

Sorry for the extremely late response,

Hope this helps ppl of the future. ;))

~nxmbus

Answer:

W = - [tex]\frac{vx}{Y}[/tex]

Step-by-step explanation:

Given

v = - [tex]\frac{1}{x}[/tex] YW

Multiply both sides by x to clear the fraction

vx = - YW ( multiply both sides by - 1 )

- vx = YW ( divide both sides by Y )

- [tex]\frac{vx}{Y}[/tex] = W

Answer:

26

Step-by-step explanation:

you are needing to find out how many 1/8 are there in 3 1/4...so you divide

13/4 divided by 1/8

13/4 x 8/1

104/4

26

Answer:

26 .

Step-by-step explanation:

Answer:

45 degrees

Step-by-step explanation:

Answer:

Square root of 36.

Step-by-step explanation:

The square root of 36 = 6  so this is rational.

Recall that a rational number is one that can be written as a/b  where a and b are not 0. 6 can be written as 6/1.

Answer:

6

Step-by-step explanation:

The square root of 36 is 6

Answer:

m=0.19

Step-by-step explanation:

To work this out you would divide 0.95 by 5. this is because 0.95 is equal to 5*m and so so work out m you would divide 0.95 by 5.

[tex]0.95/5=0.19\\m=0.19[/tex]

Answer:

6.46 mm

Step-by-step explanation:

Answer:

[tex] 8 {x}^{3} + 3 {x}^{2} - 5x + 4[/tex]

Step-by-step explanation:

[tex](6 {x}^{3} + 3 {x}^{2} + 3) + (2 {x}^{3} - 5x + 1) \\ = 6 {x}^{3} + 2 {x}^{3} + 3 {x}^{2} - 5x + 3 + 1 \\ = 8 {x}^{3} + 3 {x}^{2} - 5x + 4[/tex]

Answer: 80% of the magazines are women's magazines

Step-by-step explanation: (28÷35)× 100/1= 80%.

Answer:

(x-2)(x+1)

Step-by-step explanation:

x²-x-2 can be factored into:

(x-2)(x+1)

Support me by selecting my answer as brainiest.

Answer:

D.) 0.476

Step-by-step explanation:

The < sign means 'less than'. The only thing that .475 is less than is .476

Answer:

The area of the baseboard is 13.5m²

Step-by-step explanation:

Given data

Length of the bed L=15m

Width of of the bed B=9/10m

Area of the board A=?

We know that the area of the board

Area A=length x width

Substituting our given data we have

A=15*9/10

A=135/10

A=13.5m²

Hence the area of the board is 13.5m²

The area of the baseboard that Chris needs to install in his room, represented as a rectangle with length 15 meters and width 9/10 meters, is 13.5 square meters.

In the field of Mathematics, to find the area of a rectangle (which is the shape being represented by the baseboard's dimensions that Chris is working with), you multiply the length by the width. Given that the length of the bed is 15 meters and the width is 9/10 meters, the area of the rectangular baseboard can be found by multiplying these values. So, area = 15 meters * 9/10 meters = 13.5 square meters. Therefore, the area of the baseboard that Chris needs to install is 13.5 square meters.

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Answer:

x-11 > 17

Step-by-step explanation:

You have to set the equation up as an equality, if you want the simplified answer it would be x > 28

Answer:

932.58 in ^ 2 is needed

Step-by-step explanation:

What we need to do is calculate the area of all the circles and add it up, so we know how many square inches of paint are going to be needed.

We know that the area of a circle has the following formula:

A = pi * r ^ 2

there are 4 circles:

radio of 2 inches:

A = 3.14 * 2 ^ 2 = 12.56 in ^ 2

radio of 4 inches:

 A = 3.14 * 4 ^ 2 = 50.24 in ^ 2

radio of 9 inches:

A = 3.14 * 9 ^ 2 = 254.34 in ^ 2

radio of 14 inches:

A = 3.14 * 14 ^ 2 = 615.44 in ^ 2

12.56 + 50.24 + 254.34 + 615.44 = 932.58

a total of 932.58 in ^ 2 is needed

Answer:

See bold face answers below.

Step-by-step explanation:

If c^2 = a^2 + b^2, then the triangle is a right triangle.

If c^2 > a^2 + b^2, then the triangle is an obtuse triangle.

If c^2 < a^2 + b^2, then the triangle is an acute triangle.

Always keep "c" on the left side to avoid confusion when classifying.

Answer:

360

Step-by-step explanation:

The sum exterior angles of any number of side polygon is always 360

Step-by-step explanation:

The table of three and x is common

So

3x ( x + 5)

Is the answer

Answer: -3

Step-by-step explanation: 3 times 4 - 15

Final answer:

To find the number of possible codes, we can use the concept of permutations. There are 7 digits to choose from and we need to select all of them. Therefore, there are 5,040 possible registration codes.

Explanation:

To find the number of possible codes, we can use the concept of permutations.

Since the code must be made up of 7 digits and each digit can only be used once, we can calculate the number of permutations of the 7 digits. The formula to use is nPr = n! / (n - r)!, where n is the total number of elements and r is the number of elements to be selected.

In this case, there are 7 digits to choose from and we need to select all of them.

So we plug in n = 7 and r = 7 into the formula:

nPr = 7! / (7 - 7)! = 7! / 0! = 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5,040

Therefore, there are 5,040 possible registration codes.

Answer:

2x + 7

Step-by-step explanation:

0,7 is the y intercept, so plus 7 is a given

0,7    1,9    use rise/run

9-7/1-0 = 2/1

so 2x + 7

Answer:

3:30 pm

Step-by-step explanation:

Games : 1 hour

Cleaning : 1 hour

Homework: 30 minutes

Total time

1+1+ 30 minutes

She started at 1 pm

1 + 2 hour 30 minutes

1 +2 hours = 3 pm

3+30 minutes = 3:30

Answer:

1:00 pm + 1 hr = 2:00pm

2:00pm + 1 hr= 3:00pm

3:00pm +30 mins = 3:30 pm

Answer:

24*(1-0.5^n)/0.5

Step-by-step explanation:

Answer:

mme 3 is 20

Step-by-step explanation:

i dont like to do work

Answer:

V= 103.9 mm^3 and 72.7 mg

Step-by-step explanation:

Edge

Answer:

[tex]a = 3, b = -4, c = -20[/tex]

Step-by-step explanation:

Step 1:  Find the a, b, and c values

[tex]ax^2 + bx + c = 0[/tex]

[tex]3x^2 - 4x - 20 = 0[/tex]

The a value is:  3

The b value is:  -4

The c value is:  -20

Answer:  [tex]a = 3, b = -4, c = -20[/tex]