Mathematics College

Review the graph. Given z = -1 - i, which letter represents z3?

Answers

Answer 1

Answer:

Step-by-step explanation:

Multiply z times itself. Then multiply z times that first answer, to get z^3.

There's a formula for cubing a binomial but even if you don't remember it (like me) you can still find z^3.

But remember that i^2 = -1

This is related to sqrt(-1)= i, a definition for the imaginary number.

On the graph, go left or right for the real part and up or down for the imaginary part.

see image.

Related Questions

what is the answer to tis question

Answers

Answer:

≈150cm²

Step-by-step explanation:

area is calculated by firmula pir²

r=6.9cm

pi=3.142

3.142×6.9² = 149.59062 cm²

Christopher solved this inequality, but the solution does not work when he checked his answer. In which step did he go wrong? Explain.

Answers

He did everything right but 16 divided by -8 will be -2 not -4. So the right answer would be y<-2

Amtrak's annual passenger revenue for the years 1985-1995 is modeled approximately by the formulaR= 60 x 11| +962after 1980. In what year was the passenger revenue $722 million? In the years_ and _, the passengers revenue was $722 million.

Answers

Solution:

Given the model of the revenue, R, such that;

$\begin{gathered} R=-60|x-11|+962 \\ \\ x=\text{ number of years after 1980} \end{gathered}$

When the revenue is $722 million;

$\begin{gathered} R=722 \\ \\ 722=-60|x-11|+962 \end{gathered}$

Now, we would solve for x;

$\begin{gathered} 60|x-11|=962-722 \\ \\ 60|x-11|=240 \\ \\ |x-11|=\frac{240}{60} \\ \\ |x-11|=4 \end{gathered}$

Now, apply the absolute rule;

$\begin{gathered} x-11=4,x-11=-4 \\ \\ x=15,x=7 \end{gathered}$

Thus, in the years 1987 and 1995, the passenger revenue was $722 million.

Simplify: 2(4x - 6) - 8 + 10x

Answers

Answer:

Hi there!

The simplified version is:

18x-20

Step-by-step explanation:

2(4x-6) -8 +10x

First, multiply the 2 by the parentheses.

8x -12 -8 +10x

Next, combine like terms

18x -20

This is the simplified version!

Hope this helps

18x-20 is the answer

SUPER HARD QUESTION (I POSTED THE DIAGRAM) In the diagram of.....

Answers

Answer:

Step-by-step explanation:

Since m∠JOK is 1/5th of the measure of the full circle (we know this because 72° is 1/5th of 360° and 360° is the measure of the whole circle), we know that the measure of minor arc JK will be 1/5th of the circumference of the circle. C = 2πr and we know that r = 5 so the circumference is 10π. 1/5th of that is 2π.

Guys my main account is gone i dont know why. Am I baned?

Answers

Answer:

Try contacting the Help center located at the bottom part of the home page of this site. It is recoverable as long as no violation committed

Find the length, width and perimeter of 3 possible different rectangles given the area of 12 square units, Fill out the table below. PLS HELP

Answers

Answer:

Bussy

Step-by-step explanation:

Which one
18ft
26ft
70ft
96ft

Answers

Answer:

c. 70ft²

Step-by-step explanation:

Area of wall needed to be painted

= (12×8) - (2×2×2) - (3×6)

= 96 - 8 - 18

= 70ft²

What is the slope of the line

Answers

Answer:

Step-by-step explanation: Because when you count them down to 3/5 It's more in the negative.

B.

Remember Rise over Run, Rise/Run

In this case it rises -3 and runs 5 :)

Apply the distributive property to factor out the greatest common factor.

24+32p= _____

Answers

Answer:

8(3+4p)

Step-by-step explanation:

8 goes into 24 and 32, so it can be factored out:

$24+32p=8(3+4p)$

Answer:

8(3 + 4p)

Step-by-step explanation:

Factor 24 + 32p

First, factor out the GCF. In this case, the GCF is 8, and we have

8(3 + 4p)

We can't factor anymore so the answer is 8(3 + 4p)

QUESTOn two
let A and B be two finite set such that n(A) = 20
n(B) = 28 and n (AUB) = 35, find n (
A U B)

Answers

Question Correction

Let A and B be two finite set such that n(A) = 20 , n(B) = 28 and n(AUB)=35, Find $n(A \cap B)$

Answer:

$n(A \cap B)=13$

Step-by-step explanation:

Given two finite sets such that:

$n(A) = 20\\n(B) = 28\\n (A \cup B) = 35$

We are to determine $n(A \cap B)$.

Now, by set theory

$n (A \cup B)=n(A)+n(B)-n(A \cap B)\\35=20+28-n(A \cap B)\\35=48-n(A \cap B)\\n(A \cap B)=48-35\\n(A \cap B)=13$

Match to the correct one

Answers

Answer:

1. b_ 2. a_ 3. c_ 4. d

Step-by-step explanation:

1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.

Todd rolled a 12-sided die marked with the numbers 1 to 12. These are his experimental probabilities.

P(odd number) = 18/48
P(greater than 8) = 16/48
P(9) = 12/48

1. Which experimental probability matches the theoretical probability exactly?
2. Which experimental probability is farthest from the theoretical probability?

Answers

The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.

Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.

Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.

The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.

The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.

Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.

The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.

The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.

However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.

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so can u help me guys

Answers

Thus, 715,000 = 7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.

Explain about the scientific notations:

The number of times that decimal point must be moved to obtain a number between 1 and 10 is the exponent in scientific notation. The decimal point is shifted to the left in order to represent this number in scientific notation.

The main goal of scientific notation is to simplify computations using numbers that are abnormally large or small. With scientific notation, every digit counts because zeros are just no longer used to denote the decimal point.

Given expression:

715,000 __ 7.15 x 10⁵

LHS = 715,000

Take the RHS value :

= 7.15 x 10⁵

This, can be simplifies as:

= 7.15 x 100,000

Now multiply the two values,

= 715,000 (RHS values)

as, LHS = RHS

LHS = 715,000

715,000 (RHS values)

Thus, 715,000 = 7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.

Know more about the scientific notations:

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the unit price 50 oz at $4

Answers

Answer:

Each ounce cost .08

Step-by-step explanation:

4/50

Find the difference between -14w - 3 and 5w.

A -9 w - 3
B -19 w + 3
C -19 w - 3
D -22 w
Quick pls

Answers

Answer:

Step-by-step explanation:

cause -14w-3-(5w)

-14w-5w-3

-19w-3

Jane drinks 85ml of juice out of half a litre carton. How much juice left?

Answers

Answer:

415ml

Step-by-step explanation:

there is 1000 ml in 1litre so the question says half which means 500 ml so if he drank 85ml then

500ml-85ml= 415 ml

One month Eric rented 3 movies and 5 video games for a total of $34. The next month he rented 9 movies and 7 video games for a total of $56. Find the rental
cost for each movie and each video game.
Rental cost for each movie:
Rental cost for each video game:
G
O
G

Answers

movies 1.75 each

games 5.75 each

MATH STUDY TIPS PLEASE

i have a big test algebra 1 test tomorrow and i need to study, any recommendations?
looking for tips, methods + how long to study for, what you do when study(look at textbook, read notes...etc)

Answers

Answer:

Algebra 1 is pretty much all about functions.

Review that, and you're pretty much good to go.

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST!!!!!

On a number line, where would be located?

Answers

Hi! C And D are correct

Tell whether the angles are complementary or supplementary. Then find the value of x. 3x+45=

Answers

The angles are complementary.

The value of x is equal to 15.

What is a complementary angle?

In Mathematics, a complementary angle can be defined as two (2) angles or arc whose sum is equal to 90 degrees (90°).

Mathematically, a complementary angle can be calculated by using this mathematical expression:

Q + R = 90°

Where:

Q and R are measure of the angles subtended.

Substituting the given parameters into the complementary angle formula, the sum of the angles is given by;

3x + 45° = 90°

3x = 90 - 45

3x = 45

x = 45/3

x = 15

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Tell whether the angles are complementary or supplementary. Then find the value of x. 3x+45=

The function f(x)=−3x+2 is defined over the domain −1

Answers

The domain of the function f(x) = -3x + 2 is (-∞, +∞), representing all real numbers, and the range is (-∞, 2], representing all real numbers less than or equal to 2.

The function f(x) = -3x + 2 is a linear function defined by a straight line. To determine the domain of this function, we need to identify the range of values for which the function is defined.

The domain of a linear function is typically all real numbers unless there are any restrictions. In this case, there is no explicit restriction mentioned, so we can assume that the function is defined for all real numbers.

Therefore, the domain of the function f(x) = -3x + 2 is (-∞, +∞), which represents all real numbers.

Now, let's analyze the range of the function. The range of a linear function can be determined by observing the slope of the line. In this case, the slope of the line is -3, which means that as x increases, the function values will decrease.

Since the slope is negative, the range of the function f(x) = -3x + 2 will be all real numbers less than or equal to the y-intercept, which is 2.

Therefore, the range of the function is (-∞, 2] since the function values cannot exceed 2.

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A football is kicked vertically upward from a height of 4 feet with an initial speed of 65 feet per second. The formula h=4+65t−16t2 describes the ball's height above the ground, h, in feet, t seconds after it was kicked. Use this formula to find the ball's height 2 seconds after it was kicked. The ball's height, 2 seconds after it was kicked, was nothing feet. I NEED EXTREME HELP PLEASE !!!

Answers

Answer: h = 70ft

Step-by-step explanation: To find the height the ball reached after 2 seconds, substitute variable t for 2 and calculate height:

$h=4+65t-16t^{2}$

$h=4+65.2-16.2^{2}$

$h=4+65.2-16.4$

$h=4+130-64$

h = 70

After 2s, the football reached a height of 70 feet.

Answer:

if its for 3 seconds the answer is 55

Step-by-step explanation:

Some students are making muffins for a fundraiser. They have already made 80 muffins
and they can make 30 muffins in an hour. How many additional hours would they spend
to make 380 muffins?

Answers

Answer:

10 hours

Step-by-step explanation:

380 - 80 = 300

30 : 1 = 300 : x

x = 300 / 30

x = 10

If 8 minus some number divided by 3 = 6 what is the number?

Answers

Answer:

n = 6

Step-by-step explanation:

Represent the unknown number by n. Then 8 - n/3 = 6.

Consolidate the constants on the left side: 2 - n/3 = 0, or n/3 = 2.

Multiplying both sides by 3 results in: n = 6

4 pounds of apples cost $6. how much will 6 pounds cost

Answers

Answer:10 bucks

Step-by-step explanation:

have a good day

$9
One pound costs $1.5, as 6/4 equals 1.5. So, you would do 6 x 1.5, which results in 9.

A phone receives signals from a transmitter that is 13km west and 21km south of it. what is the bearing from the phone to the transmitter? give your answer to the nearest degree

Answers

The bearing from the phone to the transmitter is approximately 31 degrees to the east of the north direction.

To determine the bearing from the phone to the transmitter, we can use trigonometry.

The bearing is typically measured clockwise from the north direction.

Given that the transmitter is 13 km west and 21 km south of the phone, we can form a right triangle with the phone as the vertex angle.

The side opposite to the vertex angle represents the north-south direction, and the side adjacent to the vertex angle represents the east-west direction.

Using the tangent function, we can calculate the angle:

tangent(angle) = (opposite side) / (adjacent side)

tangent(angle) = 21 km / 13 km

Taking the inverse tangent (arctan) of both sides, we find:

angle = arctan(21 km / 13 km)

Evaluating this using a calculator, we find the angle to be approximately 58.57 degrees.

However, since the bearing is measured clockwise from the north, we need to subtract this angle from 90 degrees (which represents the north direction) to obtain the bearing:

bearing = 90 degrees - 58.57 degrees

Calculating this, we find the bearing to be approximately 31.43 degrees.

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i dont understand what the graph and equation is the same

Answers

From the graph we can conclude:

For;

$x<2$

The function is a parabola centered at the origin and shifted 4 units up, therefore:

$y=x^2+4$

And for:

$x\ge2$

The function is a line which slope is -1 and its y-intercept is 4, so:

$y=-x+4$

Answer:

$y=\begin{cases}x^2+4,_{\text{ }}x<2 \\ -x+4,_{\text{ }}x\ge2\end{cases}$

A new social media site is increasing its user base by approximately 6% per month If the site currently has 25,630 users, what will the approximate user base be 9 months from now?

Answers

Answer:

x$12 \times 25$

two planes take off from the same airstrip. the first plane flies west for 150 miles and then flies 30 degrees south of west for 220 miles. the second plane flies east for 220 miles and then flies x degrees south of east for 150 miles. if x < 30, which plane is farther from the airstrip after the second leg? justify your answer.

Answers

The first plane is farther from the airstrip after the second leg

Which plane is farther from the airstrip after the second leg?

The first plane

Initial distance = 150 miles west

Additional distance = 220 miles 30 degrees SW

This means that

Additional distance = 220 * cos(30) miles SW

Additional distance = 190.53 miles

Total distance = 150 + 190.53 = 340.53

The second plane

Initial distance = 220 miles east

Additional distance = 150 miles x degrees SE

This means that

Additional distance = 150 * cos(x) miles SW

Total distance = 220 + 150 cos(x)

Given that

x < 30

We have

Second plane < First plane

220 + 150 cos(x) < 340.53

Evaluate

cos(x) < 0.8035

Take the arc cos of both sides

x < 36

x < 36 is not the same as x < 30

Hence, the first plane is farther