❤️ i need this last question

 I Need This Last Question

Answers

Answer 1

Answer: \(10\left(\cos90^{\circ}+i\sin90^{\circ}\right)\)

Step-by-step explanation:

Given

The complex number is \(z_1=0+10i\)

Complex number in polar form is given by

\(z=r\left(\cos \theta +i\sin \theta\right)\)

Compare it with the given complex number

\(r=10\) and \(\sin \theta=1\) which implies \(\theta\) must be \(90^{\circ}\)

So, in the polar form, it is

\(z_1=10\left(\cos90^{\circ}+i\sin90^{\circ}\right)\\z_1=10e^{i\frac{\pi}{2}}\)


Related Questions

An archaeological excavation at Burnt Mesa Pueblo showed that about 10% of the flaked stone objects were finished arrow points†. What is the smallest number of flaked stone objects that need to be found to be at least 90% sure that at least one is a finished arrow point? (Hint: Use a calculator and note that P(r ≥ 1) ≥ 0.90 is equivalent to 1 − P(0) ≥ 0.90, or P(0) ≤ 0.10.)

Answers

Using the binomial distribution, it is found that the smallest number of flaked stone objects that need to be found to be at least 90% sure that at least one is a finished arrow point is 22.

For each object, there are only two possible outcomes. Either it is a finished arrow point or not. The probability of an object being a fixed arrow point is independent of any other object, which means that the binomial distribution is used to solve this question.

Binomial distribution:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem, 10% of the objects were finished arrow points, thus \(p = 0.1\).

We want to be at least 90% sure that at least one is a finished arrow point, that is:

\(P(X \geq 1) \geq 0.9\)

Considering \(P(X \geq 1) = 1 - P(X = 0)\)

\(1 - P(X = 0) \geq 0.9\)

\(P(X = 0) \leq 0.1\)

We have that:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{n,0}.(0.1)^{0}.(0.9)^{n} = (0.9)^n\)

Then, we can solve for n:

\(P(X = 0) \leq 0.1\)

\((0.9)^n \leq 0.1\)

\(\log{(0.9)^n} \leq \log{0.1}\)

\(n\log{0.9} \geq \log{0.1}\)

\(n \geq \frac{\log{0.1}}{\log{0.9}}\)

\(n \geq 21.9\)

Rounding up, the smallest number of flaked stone objects that need to be found to be at least 90% sure that at least one is a finished arrow point is 22.

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If f(x)=2x-3 and g(x)= \(\sqrt{x} +7\)
then find f(g(x))

Answers

The value of the function, f(g(x)), is f(g(x)) = 2√x + 11

Evaluating a function

From the question, we are to determine the value of the given function f(g(x))

From the given information,

The given functions are

f(x) = 2x - 3

and

g(x) = √x + 7

To determine f(g(x)), we will substitute the value of g(x) for x in f(x)

That is,

f(x) = 2x - 3

f(g(x)) = 2(√x + 7) - 3

Apply the distributive property

f(g(x)) = 2√x + 14 - 3

Simplify

f(g(x)) = 2√x + 11

Hence, the value of f(g(x)) is 2√x + 11

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whats 1+1? please explain :)!

Answers

The value of 1+1 in base 10 is 2 and its value in base 2 is 10

What is addition?

Addition in math is a process of combining two or more numbers. Addends are the numbers being added, and the result or the final answer we get after the process is called the sum.

For example if there 20 apples, 30mangoes and 40 cashews in a basket. The total number of fruits in the basket is obtained by adding all the fruits together.

This is means the total number of of fruit = 20+30+40 = 90 fruits.

Therefore 90 fruits are in the basket.

Similarly, the addition of 1 and 1 will give

1+1 = 2. This answer is in base 10.

1+1 can also be in base two and 1+1 in base 2 = 10

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What is the distance between J and K

What is the distance between J and K

Answers

Answer:

9 i think

Step-by-step explanation:

i don really know

The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increases by 20% in 10 years. What will be the population in 20 years? (Round your answer to the nearest person.)
For this part i found answer that is 720 persons but i need answer for this part:-
How fast is the population growing at
t = 20?
(Round your answer to two decimal places.)

Answers

The rate of population growth at t = 20 is 0.20 per 10 years or 0.02 per year. This means that the population of the town is growing at a rate of 0.02 persons per year.

The population of a town is growing at a rate proportional to the population present at time t. Initially, the population of the town was 500. After 10 years, the population increased by 20%, which means that the population after 10 years is 600. Therefore, the population of the town after 20 years will be 720 persons.To calculate how fast the population is growing at t = 20, we first need to calculate the rate of population growth in 10 years. This can be done by calculating the percentage increase in population over 10 years. To calculate the percentage increase, we first need to calculate the difference between the population after 10 years and the initial population. This difference is 100 (600 - 500). We can then divide this difference by the initial population to determine the percentage increase in population over 10 years. The percentage increase is 20% (100/500). This means that the population of the town is increasing by 20% every 10 years.

Therefore, the rate of population growth at t = 20 is 0.20 per 10 years or 0.02 per year. This means that the population of the town is growing at a rate of 0.02 persons per year.

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simpfly (7x+5)-(2x2-8x+6) choose the standard form of the answer

Answers

Step-by-step explanation:

7x+5-2x^2+8x+6

-2x^2+15x+11

2. How would you hold your bowl to eat in China?

Answers

Answer:

you hold the bowl with your thumb on the rim and then support it on the side with the rest of your fingers

Step-by-step explanation:

plz vote brainliest

Solve for î, rounding to the nearest hundredth.
86e^x= 57

Answers

To solve the equation 86e^x = 57 for x, we need to isolate the variable î. Here are the steps:

1. Divide both sides of the equation by 86: e^x = 57/86.

2. Take the natural logarithm (ln) of both sides: ln(e^x) = ln(57/86).

3. Simplify the left side of the equation using the logarithmic property: x = ln(57/86).

4. Use a calculator to evaluate ln(57/86) to the nearest hundredth: x ≈ -0.306.

Therefore, the solution for x, rounded to the nearest hundredth, is x ≈ -0.31.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The solution to the equation 86e^x = 57, rounded to the nearest hundredth, is x ≈ -0.36.

To solve the equation 86e^x = 57 for x, we need to isolate the exponential term on one side of the equation.

Divide both sides of the equation by 86:

e^x = 57/86

To isolate e^x, we can take the natural logarithm (ln) of both sides of the equation:

ln(e^x) = ln(57/86)

Using the property of logarithms, ln(e^x) simplifies to x:

x = ln(57/86)

Now, we can evaluate the expression to find the approximate value of x:

x ≈ ln(57/86) ≈ -0.3584

Rounding to the nearest hundredth, x ≈ -0.36.

The solution to the equation 86e^x = 57, rounded to the nearest hundredth, is x ≈ -0.36.

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The perimeter of a rectangle is 22 meters and the length is 7 meters longer than the width. Find the dimensions of the rectangle. Letx = the length and y = thewidthThe corresponding modeling system is:2x+2y=22x-y=7Use the method of substitution to solve this system

Answers

We have the following system of equations:

2x + 2y = 22

x - y = 7

The system can be solved in several ways, we are required to use the substitution method

First, we divide the first equation by 2:

x + y = 11

x - y = 7

Solve the first equation for x:

x = 11 - y

And substitute into the second equation:

(11 - y) - y = 7

Simplify:

11 - y - y = 7

11 - 2y = 7

Subtract 11:

-2y = 7 - 11 = -4

Divide by -2:

y = -4/(-2)

y = 2

Now replace this value to find x:

x = 11 - y = 11 - 2 = 9

Solution: x = 9, y = 2

Find the equation of a line that contains points (5,-3) and (-2,-4) in standard form

Answers

To find the equation of a line that passes through the points (5, -3) and (-2, -4) in standard form, we can use the point-slope form of a linear equation and then convert it to standard form.

Determine the slope (m) of the line using the formula:

   m = (y2 - y1) / (x2 - x1)

For the given points (5, -3) and (-2, -4), we have:

   m = (-4 - (-3)) / (-2 - 5) = (-4 + 3) / (-2 - 5) = -1 / (-7) = 1/7

Use the point-slope form of a linear equation:

   y - y1 = m(x - x1)

Using the point (5, -3), we have:

   y - (-3) = (1/7)(x - 5)

Simplifying:

   y + 3 = (1/7)(x - 5)

Convert the equation to standard form:

Multiply both sides of the equation by 7 to eliminate the fraction:

   7y + 21 = x - 5

Rearrange the equation to have the x and y terms on the same side:

   x - 7y = 26

The equation of the line in standard form that passes through the points (5, -3) and (-2, -4) is x - 7y = 26.

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Question 5 of 10 What is the domain of the function in this table? х y 1 2 2 6 3 10 4 14 O A. (1,2,3,4) B. (1.2).(2.6), (3,10), (4,14) O C. (1.2) O D. (2,6,10,14)​

Question 5 of 10 What is the domain of the function in this table? y 1 2 2 6 3 10 4 14 O A. (1,2,3,4)

Answers

The answer is C: (1,2)

What are three consecutive multiples of 3 if 2/3
of the sum of the first
two numbers is 1 greater than the third number?

Answers

The three consecutive multiples of 3 are 15, 18 and 21

To solve this problem

First, let's determine three successive multiples of 3:

The subsequent two would be "x+3" and "x+6" if we call the initial number "x".

Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:

2/3(x + x+3) = (x+6) + 1

Simplifying this equation, we get:

2/3(2x+3) = x+7

Multiplying both sides by 3, we get:

2(2x+3) = 3(x+7)

Expanding and simplifying, we get:

4x + 6 = 3x + 21

Subtracting 3x and 6 from both sides, we get:

x = 15

Therefore, the three consecutive multiples of 3 are 15, 18 and 21

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What is this triangle called

Answers

The answer is called a Scalene Traingle, and this is because the three angles aren't equal the sides can't be equal too.

The expression. 3(5^2 +2x+4)-4(4x^2 +2x+3) equals?

Answers

Answer:

- x^2 - 2x

Step-by-step explanation:

3 ( 5x^2 + 4 + 2x) - 16x^2 -8x -12

15 x^2 + 12 + 6x - 16x^2 - 8x - 12

-x^2 - 2x

1) What is the distance between (4.3)
and (3,-2)?

Answers

Answer:

26

Step-by-step explanation:

Distance = (x2 - x1) ² + (y2 - y1)²

Distance = ( 3-4)² + (-2-3)²

Distance = 26

Add 6 5/6 + ( -6 1/5 )

Answers

Answer:

0.63

Step-by-step explanation:

0.63 or 19/30

The answer

help me please with this

help me please with this

Answers

The solution of the expression \(\sqrt{z^4\times z^{\frac{-3}{2}}\) will be z⁵.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

The expression will be solved as:-

\(E = \sqrt{z^4\times z^{\frac{-3}{2}}\)

\(E = \sqrt{(z)^{4- {\frac{3}{2}\)

E = z⁵

Therefore, the solution of the expression is z⁵.

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60ft by 60ft wall and a mirror that’s 60ft by 20ft the mirror covers wat percent of the wall?

Answers

Answer:

okay, so we have a wall that is 60 ft. The area of the wall because the wall is a square is just side squared. So the area of the wall is \(60^{2}\), which is 30 600 square feet. The mirror is 20 ft by 60 ft. So the area of the mirror, because its a rectangle is length times width, so that's 20 a 60 so 20 x 60 is gonna give me 1200 square feet. So if we take the area of the mirror and put that over the area, the wall we get 1200 over 30 600, which reduces to one over three. So the mirror is one third the area of the wall.

Step-by-step explanation:

Please help me with this question.

Please help me with this question.

Answers

The commission amount is $15250.

What is the percentage?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the selling price of the house is $305000. The value of the commission will be calculated as:-

Commission = ( $305000 x 5% ) / 100

Commission = $15250

Therefore, the commission amount is $15250.

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PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((

PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((

Answers

Answer: 2/5 = 40%

Step-by-step explanation: 2/5 5 (divided) by 25 = 40%

Answer:

40%

2/5 are shaded and if you divide 5 by 2 and add a decimal, and change it into a percent, you get 40%

Fully simplify the following expressions
1. (2⁴ x 5⁵)²
2. (2²+5)²
3. 2-²+3 ÷ 2-¹

Answers

Answer:

above is the solution to the question

Fully simplify the following expressions1. (2 x 5)2. (2+5)3. 2-+3 2-

How much, including taxes of 12%, would you pay for an item with a retail price of $194.95?

Answers

Answer:

$217.88

Step-by-step explanation:

12% of 194.95 plus the original cost of 194.94 equals the total

1.12*194.54 = $217.8848

Rounded: $217.88

What is the equation of the line that has a slope of 4 and a y-intercept of -7?

y = -7 x + 4
y = -4 x + 7
y = 4 x - 7
y = 7 x - 4

Answers

Answer:

y = 4 x - 7

The slope is the number multiplied by x, 4

Step-by-step explanation:

;-;

Answer:

The answer is C

Step-by-step explanation:

There are 20 students on a bus. This is 50% of the total number of students. How many total students are there?

Answers

50 % =20 Learners

100%= x

x=100/50

=2

=2×20

=40 learners

was this helpful?

mareli rides her dirt bike at 20 meters/second for 500 seconds, how far did she ride?​

Answers

Answer:

25 meters

Step-by-step explanation:

500/20 =  25

25 meters

Hope that helps!

Answer:

10,000 meters

Step-by-step explanation:

20*500=10,000

Combine like terms 5n+8+2n-1

Answers

5n + 8 + 2n - 1

The answer is:

7n+7
ANSWER -

Combining like terms means adding or subtracting terms that have the same variable.

In this expression, 5n and 2n both have the variable n, so they are like terms.

We can combine them by adding their coefficients (the numbers in front of the variable):

5n + 2n = 7n

So, our expression becomes:

7n + 8 - 1

Finally, we can simplify the constant terms (the terms without variables) by adding or subtracting them:

7n + 8 - 1 = 7n + 7

So, the final expression is:

7n + 7

This month my metro water services bill was $36.34 and my Madison Suburban Utilty District bill was $26.03. My total water bill was $

Answers

Total water bill for the month is $62.37.

It seems that you may have accidentally left out the total amount of your water bill.

The total amount by simply adding the amounts of the individual bills together:

Total water bill =\($36.34 + $26.03\)

= \($62.37\)

You have not provided enough information to determine your total water bill.

You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.

To find your total water bill, you simply need to add the two bills together.

So, the total amount you owe for water this month would be:

Total water bill = \($36.34 + $26.03\)

= \($62.37\)

It appears that you may have forgotten to include the full amount of your water bill by accident.

Simple addition of the separate bill amounts yields the following sum:

Water bill total = \($36.34 + $26.03\)

= \($62.37\)

Your total water bill cannot be calculated because not enough information has been given.

Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.

You just need to combine the two invoices together to get your total water bill.

As a result, this month's total water bill for you would be:

Water bill total =  \($36.34 + $26.03\)

= \($62.37\)

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Need help on question 4

Need help on question 4

Answers

Answer:

I cant see the question v well

Step-by-step explanation:

How do i solve it with steps pls

How do i solve it with steps pls

Answers

Answer:

Step-by-step explanation:

We know the the total of angles for a triangle is 180 degrees.

So in this case we'd want to set up adding all of our angles and setting them equal to 180

17 + 126 + b = 180

then solve for b

143 + b = 180

b = 37 degrees

So the answer would be 37 degrees for angle b

The annual profits for a company are given in the following table, where x represents
the number of years since 1997, and y represents the profit in thousands of dollars.
Write the linear regression equation that represents this set of data, rounding all
coefficients to the nearest tenth. Using this equation, find the projected profit (in
thousands of dollars) for 2008, rounded to the nearest thousand dollars.
Profits (y)
Years since 1997 (1) Gin thotsands of dollars)
0
66
1
108
2.
89
3
157
4
178
5
199

Answers

The answer is A


Thank you for the info
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