Express 8e^i16pie in rectangular, polar and trignometric form?

Answers

Answer 1

Euler's formula immediately gives

\(8e^{i\cdot16\pi}=8\cos(16\pi)+8i\sin(16\pi)=8\)

and the equation above lists, from left to right, the polar, trigonometric, and rectangular forms.


Related Questions

In A container, there are red, blue and green balls. 3/11 of ball s are red There are 35 more blue balls than red balls. The remaining 90 balls are green. How many more blue balls than green balls are there? of the balls are red.​

Answers

If 3/11 of the balls are red, then (3/11) * 110 = 30 balls are red.

It is mentioned that there are 35 more blue balls than red balls. Therefore, the number of blue balls is 30 + 35 = 65.

The remaining balls are green, so the number of green balls is 110 - (30 + 65) = 15.

To find out how many more blue balls there are than green balls, we subtract the number of green balls from the number of blue balls: 65 - 15 = 50.

Therefore, there are 50 more blue balls than green balls.

《show your work》
A cargo container is 25 ft long, 10 ft tall, and 12 ft wide. Find its volume in cubic yards.
Round to the nearest hundredth.

Answers

The answer is 0.06

Step-by-step explanation:

Finding Volume

25 x 12 = 300

300 x 10 = 3,000

Into Cubic yards

3,000 / 46,656 = 0.06430041152

Nearest hundredth

0.06

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

help me please :)))))))))))

help me please :)))))))))))

Answers

Answer: Can you pleaes post the pic again it is not clear

Step-by-step explanation:

2. How many radians are in 27"?

Answers

The answer is 0.471 radians.


FORMULA:

Just do 27° × π/180 = 0.4712rad but then cut off the two.

Imagine math Item 994395
Start with the equation 0.2=0 to explain why -4-2 must equal -8.
Drag descriptions and equations to the table to complete the explanation.

Answers

In order to explain why -4 - 2 equals -8, let's start with the equation 0.2 = 0. By analyzing this equation, we can uncover the reason behind this seemingly counterintuitive result.

1. Begin with the equation 0.2 = 0.

2. Subtract 0.2 from both sides of the equation to isolate the variable: 0.2 - 0.2 = 0 - 0.2.

  This simplifies to 0 = -0.2.

3. Observe that the right side of the equation, -0.2, is a negative number.

4. Recall that subtracting a negative number is equivalent to adding its positive counterpart. Therefore, -0.2 is the same as +0.2.

5. Rewrite the equation as 0 = +0.2.

6. Notice that 0 on the left side of the equation is equal to 0 + 0, since any number added to zero remains unchanged.

7. Substitute 0 + 0 for 0 in the equation: 0 + 0 = +0.2.

8. Simplify the equation to 0 = +0.2.

9. Finally, recognize that a positive number cannot equal zero. Hence, the equation 0 = +0.2 is false.

10. As a result, the original equation 0.2 = 0 is invalid.

11. Therefore, the logical consequence is that any subsequent deductions based on this invalid equation would also be incorrect.

12. Consequently, -4 - 2 does not equal -8, as per the explanation derived from the flawed equation.

To summarize, by analyzing the equation 0.2 = 0, we can determine that subsequent deductions based on this equation are incorrect. Hence, -4 - 2 does not equal -8.

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PLEASE HELP!!! (1/5) - 50 POINTS-

PLEASE HELP!!! (1/5) - 50 POINTS-

Answers

Answer:

consistent independent

Step-by-step explanation:

This is a graph of consistent independent equations

The lines cross and there is one solution

Inconsistent equations never cross and there is no solutions

Consistent dependent equations are equations of the same line

Answer:

Linear

Step-by-step explanation:

This is a graph of linear system of equation.

The two lines represent different equations connected with each other.

They intersect at a common point showing the solution to the system of equation.

30 POINTS. Given ABC with coordinates A(-6,1), B(4,1), and C(4,-3). the ordered pair (9,y) is on the line ac. Enter the value of y for this ordered pair.

Answers

Answer:

The value of y is -5, so the ordered pair is (9, -5).

Step-by-step explanation:

To determine the value of y for the ordered pair (9, y) on the line AC, we first need to find the equation of the line AC.

To find the slope of the line AC, substitute the points A and C into the slope formula:

\(\textsf{Slope}\;(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y_C-y_A}{x_C-x_A}=\dfrac{-3-1}{4-(-6)}=\dfrac{-4}{10}=-\dfrac{2}{5}\)

To determine the equation of line AC, substitute the found slope and one of the points into the point-slope formula:

\(\begin{aligned}y-y_1&=m(x-x_1)\\\\y-1&=-\dfrac{2}{5}(x-(-6)\\\\y-1&=-\dfrac{2}{5}x-\dfrac{12}{5}\\\\y&=-\dfrac{2}{5}x-\dfrac{7}{5} \end{aligned}\)

Now we have found the equation of the line AC, to determine the value of y for the ordered pair (9, y), substitute x = 9 into the equation:

\(\begin{aligned}y&=-\dfrac{2}{5}(9)-\dfrac{7}{5}\\\\&=-\dfrac{18}{5}-\dfrac{7}{5}\\\\&=\dfrac{-18-7}{5}\\\\&=\dfrac{-25}{5}\\\\&=-5\end{aligned}\)

Therefore, the value of y for the ordered pair is y = -5.

So the ordered pair is (9, -5).

30 POINTS. Given ABC with coordinates A(-6,1), B(4,1), and C(4,-3). the ordered pair (9,y) is on the

1/8 + 5/8?
7/10 - 3/10
4/12 + 5/12
15/20 - 6/20
15/20 - 6/20


put explation pleaseee

Answers

Answer:

6/8

4/10

9/12

9/20

9/20

Step-by-step explanation:

Please awnser asap I will brainlist

Please awnser asap I will brainlist

Answers

Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.

How many tickets of each kind has been sold?

Let's solve the problem step by step.

Let:

x = number of $10 tickets sold

y = number of $20 tickets sold

z = number of $30 tickets sold

From the given information, we can form the following equations:

Equation 1: x + y + z = 3318 (Total number of tickets sold)

Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)

Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)

We can use these three equations to solve for the values of x, y, and z.

First, let's substitute Equation 2 into Equation 1:

x + (x + 109) + z = 3318

2x + 109 + z = 3318

2x + z = 3209 (Equation 4)

Now, let's substitute the value of y from Equation 2 into Equation 3:

10x + 20(x + 109) + 30z = 61760

10x + 20x + 2180 + 30z = 61760

30x + 30z = 59580

x + z = 1986 (Equation 5)

We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.

Multiplying Equation 4 by 30, and Equation 5 by 2, we get:

60x + 30z = 96270 (Equation 6)

2x + 2z = 3972 (Equation 7)

Now, subtract Equation 7 from Equation 6:

(60x + 30z) - (2x + 2z) = 96270 - 3972

58x + 28z = 92298

Simplifying, we have:

29x + 14z = 46149 (Equation 8)

Now, we can solve Equations 5 and 8 simultaneously:

x + z = 1986 (Equation 5)

29x + 14z = 46149 (Equation 8)

Multiplying Equation 5 by 14, and Equation 8 by 1, we get:

14x + 14z = 27804 (Equation 9)

29x + 14z = 46149 (Equation 8)

Now, subtract Equation 9 from Equation 8:

(29x + 14z) - (14x + 14z) = 46149 - 27804

15x = 18345

Divide both sides of the equation by 15:

x = 18345 / 15

x = 1223

Substituting the value of x into Equation 5, we can find z:

1223 + z = 1986

z = 1986 - 1223

z = 763

Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:

1223 + y + 763 = 3318

y + 1986 = 3318

y = 3318 - 1986

y = 1332

Therefore, the solution to the problem is:

x = 1223 (number of $10 tickets sold)

y = 1332 (number of $20 tickets sold)

z = 763 (number of $30 tickets sold)

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Please help me out‼️‼️‼️‼️〽️

Please help me out

Answers

We can see that the dot plot is seen below.

What is a dot plot?

We can see here that An example of a graphical representation of data is a dot plot. It is a number line with dots above each value to indicate the frequency or count of that value.

Depending on the type of data being shown, the dots are often arranged either horizontally or vertically.

Dot plots are known to be useful for showing the distribution of data, particularly for small data sets.

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Please help me out

66 + 2bc – 46; b= 10, c=5

Answers

Answer:

120

Step-by-step explanation:

66 + (2* 10*5)- 46

66+20×5−46

66+100−46

166−46

= 120

Brainlist Pls!

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

66 + 2bc - 46

= 66 + (2 × 10 × 5) - 46

= 66 + 100 - 46

= 166 - 46

= 120

Hope it helps you,

Mark me brainliest plz....

Follow me! :)

Which symbol can be used to indicate the pressure at which a chemical reaction is carried out?

Answers

The symbol that can be used to indicate the pressure at which a chemical reaction is carried out is the letter "P".

What is the pressure?

In a chemical reaction, the pressure corresponds to the force that a gas is able to reach on the wall of a container, influencing the system as a whole, such as its balance.

In chemical experiments, pressure can be measured and controlled under various conditions, through certain academic approaches and with the use of devices such as regulators and manometers.

Therefore, the letter P is the symbol that represents the pressure in a chemical reaction, written in an equation next to the products, in various measures such as atm and kPa.

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Lara grows apples in her orchard and sells them at the weekly farmer's market. Each week, she sells the apples for a different price and records the number of apples sold. The scatter plict below
shows the price of one apple and the number of apples that were sold. A line of best fit for these data points, the equation y=-z+32, is also shown on the plot
Apples Number of Apples Sold

Lara grows apples in her orchard and sells them at the weekly farmer's market. Each week, she sells the

Answers

She need to sell wholesale so 12

What is the volume of this figure?

What is the volume of this figure?

Answers

Answer: 186 cubic in

Step-by-step explanation:

When Aria commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 28 minutes and a standard deviation of 4.5 minutes. Out of the 262 days that Aria commutes to work per year, how many times would her commute be between 32 and 35 minutes, to the nearest whole number ?

Answers

Answer:

To find the number of times that Aria's commute is between 32 and 35 minutes, we need to find the probability that her commute time is between 32 and 35 minutes and then multiply that probability by the total number of commutes per year.

To find the probability that Aria's commute time is between 32 and 35 minutes, we need to find the area under the normal curve between those two values.

We can use the following formula to convert the values 32 and 35 to standard units:

z = (x - mean) / standard deviation

Plugging in the values, we get:

z1 = (32 - 28) / 4.5 = 0.89

z2 = (35 - 28) / 4.5 = 1.56

To find the area under the curve between these two values, we can use a standard normal table or a calculator to find the area between these two values. The result is approximately 0.22.

Multiplying this probability by the total number of commutes per year gives us the number of times that Aria's commute is between 32 and 35 minutes.

So the number of times that Aria's commute is between 32 and 35 minutes is approximately 262 * 0.22 = 57.24, which is about 57 times to the nearest whole number.

Step-by-step explanation:

Cara salary was increased from £28 250 to £29 832 work out the percentage increase in car salary​

Answers

5.6 percent homie I gotchu

U do a Proportion

29832/28250=x/100

Then u just solve for x :D

What’s the difference between solving a whole number and a fraction?

There’s these two methods I saw but not sure when I should use them when I do stumble on a problem.

1 method: start by multiply the numerator towards the whole number and once u do then divide the numerator and denominator separately.

2 method: start by giving the whole number a 1 of the denominator and find the lCD of the fraction and start finishing the problem from either adding or subtracting.

Answers

Both the methods can be used to solve a mixed fraction including a whole number and a fraction or solving the difference of a whole number and a fraction.

What is Mixed Fraction?

Mixed fractions are type of fractions which involve a whole number and a fraction. This is of the form a \(\frac{b}{c}\). This is actually a + \(\frac{b}{c}\).

You can use either methods when solving a whole number and a fraction.

Let us take a whole number 3 and a fraction \(\frac{2}{10}\) for instance.

First Method :

Solve it by cross multiplication.

Let the denominator of the whole number 3 be 1.

\(\frac{3}{1}\) ± \(\frac{2}{10}\) = [(3 × 10) ± (2 × 1)] / (1 × 10) = [30 ± 2] / 10

If the question is for adding, we get, \(\frac{3}{1}\) + \(\frac{2}{10}\) = (30 + 2) / 10 = 32/10

If the question is finding difference, we get, \(\frac{3}{1}\) - \(\frac{2}{10}\) = (30 - 2) / 10 = 28/10

Second Method :

Again let the denominator of the whole number be 1.

Find the LCD (Least Common Denominator) of 1 and 10.

This is 10.

So we have to make the denominator of \(\frac{3}{1}\) to 10.

Multiply both numerator and denominator with 10, we get 30/10.

A normal multiplication of fractions, if the denominator is same add or subtract the numerators let the denominator be as such.

Now add or subtract \(\frac{30}{10}\) ± \(\frac{2}{10}\) = (30 ± 2) / 10.

Hence both the methods can be used.

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Question 4
12.5 pts
Georgia receives a snow globe for her birthday. The globe has a diameter of 4 inches.
Which of the following is the closest to the volume of the snowglobe?
0 18.84
O 10.7
O 16.7
0 33.5

Answers

Answer:

choice 4) 33.5 in³

Step-by-step explanation:

r = 4/2

V = 4/3πr³ = 4/3(3.14)(2³) = 33.5 in²

A hot air balloon descended 3240 feet in an hour. Find the change in altitude per minute?

Answers

An hour is the equivalent of 60 minutes. Because the hot air balloon descended 3,240 feet in an hour, we can set up an equation to represent this:

3,240 / 60 = 54

Therefore, the change in altitude per minute is 54 feet.
Unit Analysis

Unit analysis is a tool that we can use to convert units. It involves multiplying the original number by a fraction to cancel out units.

Solving the Question

We're given:

\(\dfrac{3240\hspace{4}feet}{hour}\)

We also know that:

\(\dfrac{hour}{60\hspace{4}minutes}\)

Multiply the two to cancel out the hour:

\(\dfrac{3240\hspace{4}feet}{hour}\times\dfrac{hour}{60\hspace{4}minutes}\\\\=\dfrac{3240\hspace{4}feet}{60 minutes}\)

Simplify:

\(=\dfrac{54\hspace{4}feet}{minute}\)

Answer

\(\dfrac{54\hspace{4}feet}{minute}\)

URGENT PLEASE HELP !!!

URGENT PLEASE HELP !!!

Answers

It’s 36 all you need to do is add both

Answer:

36

Step-by-step explanation:

AB=AC+BE

AB=10+26

AB=36

f(x)=-4x²-6x-1and g(x)=-x²-5x+3 find (f+g)(x)

Answers

\((f + g)(x) = - 4 {x}^{2} - 6x - 1 - {x}^{2} - 5x + 3 \\ \)

\((f + g)(x) = - 5 {x}^{2} - 11x + 2 \\ \)

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Divide 5,917 ÷ 37 = ________.
161 r 9
161 r 34
159 r 9
159 r 34

Answers

Answer:

the last one

Step-by-step explanation:

37*159+34=5917

Answer:

159 r 9

Step-by-step explanation:

Evaluate the expression when c=-4 and x=3.
C- 3x

Answers

Answer:

-13

Step-by-step explanation:

-4-3(3)

-4-9 = -13

fill in the blanks.30x8=3x_____x840x7=_____x10x7

Answers

Answer:

30x8=3x_10_x8





40x7=_4_x10x7​

First one: 10

Second one: 4


A 12 oz box of sugar costs $3.10 and a 36 oz box of sugar costs $7.90. Which box of sugar is the better buy?

Answers

Answer: 36 oz box

Step-by-step explanation:

3.1/12=0.258333

7.9/360.291444

Thus, the 36 oz box is the better buy

dividing 1/9 is equal to multiplying by

Answers

Answer: 9

Step-by-step explanation: To divide we need to flip the second fraction we are dividing by. For example:

10/1 divided by 1/4 = 10/1 times 4/1. So in this case, the answer is 40.

Now lets try it with 1/9.

X divided by 1/9 = X times 9/1.

So dividing by 1/9 is equal to multiplying by 9.

Solve x^2+8x+22=0 by completing the square.

Answers

Answer: x = √-6 - 4

Step-by-step explanation:

x^2+8x+22=0

(x+4)^2 - 16 + 22 = 0

(x+4)^2 + 6 = 0

(x+4)^2 = -6

√(x+4)^2 = √-6

x = √-6 - 4            

√6 = 2.449

Need Help With This​

Need Help With This

Answers

The answer would be B. Y=5x+7

Answer:

bbbb

Step-by-step explanation:

how do yall do the square root sign my phone doesnt even have it

Answers

Answer:

you multiply the same number by each other and check if it matches squareroot number

Step-by-step explanation:

In 2 + In 8 - In 4

In 4
In 6
In 74

Answers

Answer:

in8− in4+ in2

Step-by-step explanation:

thats the aswer

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