(2-8j)(5+6j)


please help answer this

Answers

Answer 1

Answer:

-48j²-28j+10

Step-by-step explanation:

Multiple each term in the first parentheses by each term in the second parentheses (FOIL)

2×5 + 2×6j - 8j×5 - 8j×6j

Multiple the numbers

=10 + 2 × 6j - 8j × 5 - 8j × 6j

=10 + 12j - 8j × 5 - 8j × 6j

=10 + 12j - 40j - 8j × 6j

= 10 + 12j - 40j - 48j²

Collect like terms

10 - 28j - 48j²

Reorder the terms using the commutative property

-48j² - 28j + 10

Hope this was timely!

Have a great week (or weekend)!

;-)


Related Questions

Please do this word document and attach it after your done.

Answers

Answer:

See below.

Step-by-step explanation:

1) E and S

2) Pentagon

3) No, No, Yes

4) Infinite

5)

a. 4, 90°

b. 4 plates

c. Yes, see attachment.

My apologies if the picture isn't very neat/clear.

Step-by-step explanation:

[tex]1) \: e \: and \: s \\ 2) \: pentagon \\ 3) \: no \: no \: yes \\ 4)infinite \\ 5)4 \: \: \: \: \: . \: 90 \\ b) \: uplates \\ c) \: yes \: see \: attachment[/tex]

# Jerry Don is here#

In the five sixth grade classrooms there are 26,29,31,33,36 what is their average mean number

Answers

Answer:

the answer you're looking for is 31

Slove for x
Show all work

Answers

Answer: 20

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

[tex]x^2=8(8+42)\\\\x^2=8*50\\\\x=20[/tex]

~

The sizes of the drill bits in a set are measured in inches. Which size drill bit is greater than 1/2 inch?


A. 3/8 inch
B. 7/16 inch
C. 1/8 inch
D. 9/16 inch

Answers

The answer is D

To find the percent of each fraction divide the top of the fraction by the bottom

1/2 is 0.5 so anything above 0.5 is right so if you do the math…

3 divided by 7= 0.43 so A is not right since it’s not over 0.5
7 divided by 16 = 0.44 so B is not right since it’s not over 0.5
1 divided by 8 = 0.13 so C is not right because it’s not over 0.5
9 divided by 16 = 0.56 so that is right because it is over 0.5

Do D is the right answer.
The answer for this question should be D. 9/16 inch

PLEASE HELP ME!
Which is a solution of the inequality x + 2 <8?

Group of answer choices

z < 4

z < 6

z = 6

z < 10

Answers

answer : z ‹ 6

explanation :

inequality given is x + 2 ‹ 8

take the +2 and move it to the back to 8, so it will be -2.

then you will directly get x ‹ 8 - 2

so the answer will be x ‹ 6.

I'm not sure whether you had the answer choice z is actually x, but if it does the answer is x ‹ 6 and not z ‹ 6

1 There are 10 girls and 5 boys in a class

What is the ratio of the number of girls to the number of boys?

What is the ratio of the number of boys to the number of girls?​

Answers

Ratios are written as fractions:

The ratio of girls to boys would be girls / boys = 10/5 which can be reduces to 2/1

The ratio of boys to girls would be boys / girls = 5/10 which can be reduced to 1/2

I need to figure this out for a quiz in APEX. I can get the rest if I understand how to do this one.

Answers

Answer:

the answer is b

Step-by-step explanation

1 1/2 - 2/3 ÷ 4 2/5 × 3/4

Answers

Answer:

145/36

Step-by-step explanation:

(29/6) / (6/5) = 145/36

Answer:

29/6÷ 4(3/10)

145/36

Step-by-step explanation:

Allison hikes 4/3 miles in 1/2 hour. What is her unit rate in miles per hour?

Answers

Answer:

ok so we now that half a hour is 30 minutes so in 30 minutes she walked 4/3 of a miles so lets just multiply that by 2

8/3 or 2 2/3 or a miles a hour

2.6667 mph

Hope This Helps!!!

1
Caleb finishes breakfast at 7:15 AM. Tell
what time he started breakfast if it took
the given number of minutes.
a. 10 minutes
b. 15 minutes
C. 20 minutes
d. 25 minutes
e. 26 minutes

Answers

Answer:

a. 7:05 am

b. 7:00 am

c. 6:55 am

d. 6:50 am

e. 6:49 am

Find the quotient of 2 7/8 and 3 5/6

Answers

The answer to your problem is 30

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Given the following question:

[tex]2\frac{7}{8} \div3\frac{5}{6}[/tex]

To find the answer we need to convert the mixed numbers into improper fractions, then we apply KCF (Keep, Change, Flip) to the equation and then we solve.

[tex]2\frac{7}{8} \div3\frac{5}{6}[/tex]
[tex]2\frac{7}{8} =8\times2=16+7=23=\frac{23}{8}[/tex]
[tex]3\frac{5}{6} =6\times3=18+5=23=\frac{23}{6}[/tex]
[tex]\frac{28}{8} \div\frac{23}{6}[/tex]

Apply KCF:
[tex]\frac{28}{8} \div\frac{23}{6}[/tex]
[tex]\frac{28}{8} \times\frac{6}{23}[/tex]
[tex]28\times6=168[/tex]
[tex]8\times23=184[/tex]
[tex]=\frac{168}{184}[/tex]

Simplify by reducing:
[tex]\frac{168}{184}[/tex]
[tex]=\frac{168}{184}\div46=\frac{3}{4}[/tex]
[tex]=\frac{3}{4}[/tex]

Your answer is "3/4."

Hope this helps.

pls help me
Question 2 Part C (5 points): Mrs. Hinson is replacing her rectangular driveway with pavers. The area of her driveway is 64m² - 9n² square units. Mrs. Hinson needs to find the dimensions of her driveway so she knows how many pavers to buy.


Help Mrs. Hinson by factoring the area completely. To receive full credit, you must show all work.


WORK:
ANSWER: The dimensions are...

Answers

Let's factor out

[tex]\\ \rm\Rrightarrow 64m^2-9n^2[/tex]

[tex]\\ \rm\Rrightarrow (8m)^2-(3n)^2[/tex]

[tex]\\ \rm\Rrightarrow (8m-3n)(8m+3n)[/tex]

Done

Length=8m-3nBreadth=8m+3n

Joan’s finishing time for the Bolder Boulder 10K race was 1.83 standard deviations faster than the women’s average for her age group. There were 375 women who ran in her age group. Assuming a normal distribution, how many women ran faster than Joan?

Answers

He ran faster than 8375 woman

By using normal Distribution we found 15 women ran faster than Joan

What is Standard Deviation?

The  average amount of variability in our data set is known as Standard Deviation.

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

standard deviations from the mean is used to measure Z-score

If data point's score is identical to the mean score then the z score will be zero

 Standard deviations a score X is above or below the mean measures z-score measures

From z- table we find the p values respectively.

By given , Joan’s finishing time for the Bolder Boulder 10K race was 1.83 standard deviations faster than the women’s average for her age group.

So,  Z - score = 1.83

From z - table,

If  Z =1.83 , then p-value is 0.9591.

It means that Joan was faster than 95.91% of the participants and slower than 100-95.91 = 4.09% of the participants.

Since, There were 375 women who ran in her age group.

we computed that, 4.09% faster than Joan

Number of women run faster than Joan is, = 375/100*4.09= , nearly = 15

Thus, 15 women ran faster than Joan.

To learn more on Standard Deviation click:

https://brainly.com/question/16555520

#SPJ2

60 PTS!! We often use functions to model or represent situations and relationships. These
representations can be as equations, graphs, tables, or even verbal descriptions.
What does it mean to "represent" something? In what other situations have you heard that term used, and how was its meaning in those situations similar to its usage in
algebra?

Answers

Answer:

one variabk depends on another variable  to help

A function is a relation between two sets of variables such that one variable depends on another variable. We can represent different types of functions in different ways. Usually, functions are represented using formulas or graphs. There are four ways for the representation of a function

Algebraically= mathematical  model

Numerically=table of values or chart

Visually=continuous graph or scooter plot

Verbally=Word description

Step-by-step explanation:

In ΔVWX, x = 97 cm, v = 48 cm and ∠W=28°. Find the length of w, to the nearest centimeter.

Answers

The answer would be 59. This is for law of cosines (sas)

The requried length of side w is approximately 44 cm to the nearest centimeter.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc, in algebraic operations.


To find the length of side w in ΔVWX, we can use the law of sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in the triangle. In other words:

w/sin(W) = x/sin(X)

where X is the angle opposite side x.

We are given x = 97 cm, v = 48 cm, and W = 28°. To find X, we can use the fact that the sum of the angles in a triangle is 180°:

X = 180° - W - V

X = 180° - 28° - 180°/2

X = 72°

Now we can plug in the values into the law of sines equation:

w/sin(28°) = 97/sin(72°)

Solving for w, we get:

w = sin(28°) * 97 / sin(72°) = 43.9 cm

Therefore, the length of side w is approximately 44 cm to the nearest centimeter.

Learn more about trigonometry equations here:

brainly.com/question/22624805

#SPJ3

A boat heading out to sea starts out at Point A, at a horizontal distance
of 1390 feet from a lighthouse/the shore. From that point, the boat's
crew measures the angle of elevation to the lighthouse's beacon-light
from that point to be 7º. At some later time, the crew measures the
angle of elevation from point B to be 4°. Find the distance from point
A to point B. Round your answer to the nearest foot if necessary.

Answers

Step-by-step explanation:

I assume the boat is going straight out on the same horizontal line.

we have 2 right-angled triangles.

at point A

there is the ground distance from A to the lighthouse. which is 1390 ft.

then there is the height of the lighthouse.

and the line of sight from A to the lighthouse light.

the angle at A is 7°.

the angle at the bottom of the lighthouse is 90°.

therefore, the angle at the lighthouse light = 180 - 90 - 7 = 83°.

at point B

the ground distance from B to the lighthouse.

the height of the lighthouse again.

and the line of sight of B to the lighthouse light.

the angle at B = 4°.

the angle at the lighthouse bottom is again 90°.

therefore, the Angie at the lighthouse light is 180 - 90 - 4 = 86°.

we need the law of sine to solve this and find the missing side lengths.

a/sin(A) = b/sin(B) = c/sin(C)

with the sides and the correlated angles being opposite.

the first we need to do is finding the height of the lighthouse via triangle A, so that we can use it then also in triangle B.

1390/sin(83) = height/sin(7)

lighthouse height = 1390×sin(7)/sin(83) = 170.6705397... ft

now, we can use that in triangle B to get the ground distance to the lighthouse :

height/sin(4) = ground distance/sin(86)

ground distance = height×sin(86)/sin(4) =

= 2,440.702427... ft

the distance from A to B is the difference between that ground distance and the original distance of 1390 ft :

2,440.702427... - 1390 = 1,050.702427... ft ≈

≈ 1,051 ft

Please help me this is really confusing

Answers

Answer:

$4,637.50

Step-by-step explanation:

Help!I can’t figure this out.

Answers

Answer:

i beilive it is 1/1

Step-by-step explanation:

WHAT I KNOW

CAN YOU DO THIS? LET'S HAVE A GUESSING GAME ON POLYGONS.
__________1. I AM A POLYGON WITH FOUR EQUAL SIDES AND 4 RIGHT CORNERS. WHAT AM I?
__________2.I HAVE THREE SIDES AND THREE ANGLES. WHAT AM I?
__________3. I HAVE TWO PAIRS OF PARALLEL SIDES AND FOUR RIGHT ANGLES. WHAT SHAPE AM I?
__________4. I AM A POLYGON WITH 4 SIDES AND ONE PAIR OF WHICH IS PARALLEL. WHAT AM I?
__________5. I HAVE TWO OF OPPOSITE SIDES WHICH ARE PARALLEL. WHAT AM I?
PLS ANSWER​

Answers

Answer:

1. Square

A square has 4 side of equal lengths, and all right angles.

2. Triangle

A triangle has 3 sides and 3 angles. It could either be an isosceles, equilateral or obtuse triangle.

3. Rectangle

A rectangle has 4 sides. 2 are parallel and the other 2 are parallel. All angles are 90 degrees.

4. Trapezoid

This shape has 4 sides. Only 1 pair of sides is parallel. The other 2 sides are not parallel

5. Parallelogram

It has 4 sides, and both pair of opposite sides are parallel.

when your cousin was born, she was 21 4/5 inches long. when your friends was born he was 21 3/4 inches long. who was longer at birth? how much longer?​

Answers

Answer:

The cousin would be longer.

Step-by-step explanation:

4/5 = .8, and 3/4= .75, making the cousin longer at birth.

Two containers are mathematically similar. Their volumes are 54 cm3 and 128cm3.
The height ofthe s maller containeris 4.5cm.
Calculate the height of the larger container.

Answers

Answer:

6 cm

Step-by-step explanation:

If the linear scale factor of two solids is k, then the volume scale factor is k^3.

The volume scale factor is 128/54 = 64/27 = (4/3)^3.

The linear scale factor is 4/3.

4.5 cm * 4/3 = 6 cm

Answer: The height of the larger container is 6 cm.

The sum of 2 numbers is equal to 10. The difference between those same two numbers is equal to -4 find the numbers.

Answers

Answer:

3 and 7

Step-by-step explanation:

For problems like these I take the largest number in this case 10, and start writing out what 2 numbers would give me 10. 0+10, 1+9, 2+8, 3+7...while doing that I subtract the numbers as well. thus 3+7=10 3-7=-4

The slope field for a differential equation is shown in the figure. Determine the general solution of this equation.

100 POINTS
slope field with positive slopes in quadrant 1 and 4, negative slopes in quadrants 2 and 3, horizontal slopes along the y axis

y=Cx2
x=Cy2
x2 – y2 = C2
x2 + y2 = C2

Answers

Answer:

[tex]y=Cx^2[/tex]

Step-by-step explanation:

Clearly, [tex]\frac{dy}{dx}[/tex] is a function of x, so we can eliminate the second option.

The slope field does not resemble a circle nor hyperbola, so we can eliminate the last two options.

This leaves us with [tex]y=Cx^2[/tex] as our general solution.

a) Work out the value of angle x.
O
X =
b) Give reasons for your answer.


I need help with questions B guys please.

I tried many reasons but it is not working

Answers

answer:

the total angle of a triangle is 180°

since all of the sides of the triangle are even, then it means that all the angles are also equal

180 divided by 3 (because theres 3 angles) = 60

since one of the interior angle of the triangle is 60, the congruent angle of x also equals to 60° and also 60+60+60=180 (straight line)

i made a little diagram above for you, i hope it helps you and goodluck!! :)

The value of angle x is 60° in the triangle.

What is triangle?

Triangle is defined as the polygons of the three-sided and three-sided variety. The fundamental equation for a triangle's area is A = 1/2 b h, where b and h are the product of the triangle's base and height. All triangle shapes, including scalene, isosceles, and equilateral triangles, can be calculated using this formula.

The exterior angle of a triangle is equal to the sum of the interior angles at the other two vertices, and angle x is one of the triangle's exterior angles.

Given that all three angles in a triangle are equal and all three sides of the triangle are even, the total angle of the triangle is 180°.

Since one of the interior angles of the triangle is 60°, the congruent angle of x is also 60°, therefore 60+60+60=180. (straight line).

So, the value of x is 60°

Thus, the value of angle x is 60° in the triangle.

To learn more about triangle, refer to the link below:

https://brainly.com/question/2773823

#SPJ2

Due to manufacturing error, three cans of regular soda were accidentally filled with diet soda and placed in a 12-pack. Suppose that two cans are randomly selected from the 12-pack: a) Determine the probability that both contain diet soda. b) Determine the probability that exactly one is diet

Answers

Answer:

a) 2/44 = 0.045

b) 9/22 = 0.409

Step-by-step explanation:

a) The probability the first can is diet soda is 3/12.

The probability the second can is diet soda is 2/11.

The probability of both is (3/12) (2/11) = 2/44 ≈ 0.045.

Alternatively, you can use combinations:

₃C₂ × ₉C₀ / (₁₂C₂) = 2/44

b) If the first can is diet soda, and the second can isn't, the probability is (3/12) (9/11) = 9/44.

If the first can isn't diet soda, and the second can is, the probability is (9/12) (3/11) = 9/44.

The total probability is 9/44 + 9/44 = 9/22 ≈ 0.409.

Alternatively, using combinations:

₃C₁ × ₉C₁ / (₁₂C₂) = 9/22

In a survey, 150 people said they prefer shopping online. 75% said they prefer shopping online. How many people were surveyed?


A. 300
B. 225
C. 200
D. 125

Answers

The answer is C. 200

Please mark as brainliest

HELP ASAP PLEASE!!

Does this image show an enlargement or a reduction?


An equilateral triangle with a side length of 3.4. An arrow points to a smaller equilateral triangle with a side length of 1.7


Enter your answer in the first Blank.


What scale factor was used?

Answers

Answer:

the image shows reduction

Step-by-step explanation:

1.7

Answer:

0.5

Step-by-step explanation:

First divide 1.7 to 3.4 and then you get your answer

Hope this helps :)

Let ​f(x)=x2−4 and ​g(x)=7−x. Perform the composition or operation indicated.
​(fg)(8​)

Answers

Answer:

[tex](f\circ g)(8)=-3[/tex]

Step-by-step explanation:

Composite Function

Given f(x) and g(x) real functions, the composite function named [tex](f\circ g)(x)[/tex] is defined as:

[tex](f\circ g)(x)=f(g(x))[/tex]

For practical purposes, it can be found by substituting g into f.

The functions are defined as follows:

[tex]f(x)=x^2-4[/tex]

[tex]g(x)=7-x[/tex]

To find [tex](f\circ g)(8)[/tex], we evaluate g in x=8 and then apply the composition formula.

[tex]g(8)=7-8=-1[/tex]

[tex](f\circ g)(8)=f(g(8))[/tex]

[tex](f\circ g)(8)=f(-1)[/tex]

[tex](f\circ g)(8)=(-1)^2-4=1-4[/tex]

[tex]\boxed{(f\circ g)(8)=-3}[/tex]

Use cross products to identify the equation needed to solve this proportion:
5x = 18
2x = 45
9x = 10
2x = 14

Answers

Answer:

2x=45

Step-by-step explanation:

i did it

PLZZZZZZZZZZ HELP ME ILL MAKE YOU BEANLIEST ANSWER PLLZZZZZ THANK YOUUUU!!!!!!!

Answers

Try this
1) CD
2)ABE
3)BA
Other Questions
Which advance in biology resulted from developments in cell technology? somatic cells immortal cell lines aseptic technique tissue typing. A researcher determines an organism to be eukaryotic, unicellular, and autotrophic. in which taxonomic group should this organism be classified?o archaeakero protistao bacteriaoindo animalia Read the excerpt from "Mother Tongue."Those tests were constructed around items like fill-in-the-blank sentence completion, such as Even though Tom was ______, Mary thought he was _____. And the correct answer always seemed to be the most bland combinations of thoughts, for example, Even though Tom was foolish, Mary thought he was ridiculous. Well, according to my mother, there were very few limitations as to what Tom could have been and what Mary might have thought of him. So I never did well on tests like that.How does Tan build a central idea of her story in the excerpt?Tan discusses the types of questions on achievement tests to support the idea that the tests limit students ability to write well.Tan explains a question on a language achievement test to support the idea that the tests should include more interesting content.Tan gives an example of her experience with achievement tests to support the idea that they are not always accurate measures of language ability.Tan considers how her mother might answer a question on a test to support the idea that nonstandard English limits a persons ability to communicate. n his Book of Questions, Gregory Stock asks, "If you could spend one year in perfect happiness but afterward would remember nothing of the experience, would you [spend a year that way]?" How would you answer Stock's question? Address either the psychological or philosophical issues raised by your response. Which sentence should not be used in a summary of paragraphs 6 and 7? HELP!!!Using four or more complete sentences, discuss the standard of living in Russia. President Lincoln's plan for Reconstruction offered a general pardon to southerners whotook an oath of loyalty to the United States and accepted the Union's proclamationconcerning In the following situation, sharing the information would be considered gossiping. Allison just made the JV basketball team, but she's only a freshman, so the older girls don't talk to her much. She wants the girls to like her, so she's thinking about telling them why one of the guys on the varsity basketball team got suspended. She overheard two teachers talking about the situation when she was in the office. True False TRUE or FALSE. Write I If the statement is TRUE, write F if the statement isFALSE on the space provided before the number.1. A mixture is always made up of a combination of elements2. A mixture is not a chemical combining of substances3. In a mixture, the substances lose their identities4. The substances involved in a mixture cannot be separated by a simple physiprocess5. Salt and water can be separated through distillation6. Water for drinking can only be obtained from seawater by distillation7. The distillation of miscible liquids is only possible if the liquids have differboiling points.8. Mixtures have fixed melting and boiling points.9. Paper chromatography is a physical method for separating mixtures10. Crude oil is broken down by heat, vaporized, and allowed to condensevarious liquids such as gasoline. This process is called distillation Find the area of the polygon with the given vertices. G(2,2) H(3,-1) J(-2,-1) Which behavior would most likely have a positive influence on body image? A)checking body weight daily B)following current dietary fads on social media C)defining body image through magazines and television D)using consistent routines for health and beauty did the creek tribe adopt european culture say in simple words! What modifications did kepler make to copernicuss model? select two options. planetary orbits are elliptical. planets closer to the sun move faster. planets spin in an epicycle while orbiting earth. venus has phases due to its orbiting of the sun. earths rotation causes the rising and setting of the sun. Write a report analyzing the Cold War policy of containmentATLEAST 300 POINTS!!!!! Which graph shows the solutions of the system of equations 2x - y = 8 and x - y = 2?(Refer to both images for all answers) How does the conflict in the Animal Farm excerpt relateto the events in the historical passage?Snowball's quick escape under the hedge is similar tohow Stalin was expelled.Snowball's ideas about work relate to the Stalin'sefforts to gain total control.Napoleon removes Snowball for his own purposesjust as Stalin removed those in his own party.Snowball's dream for the animals on the farm is thesame as the dream of the Communist Party. A square is cut into identical rectangles. Find the perimeter of each rectangle if the perimeter of the square is 48 cm Click on the photo what is 0.75x 100 80 It took Allen 2 hours to plant 4 flats of flowers. How many hours would it take for him to plant 22 flats of flowers