1) Simplify the expression
(3-4i)(1+5i)-(2-i)

2) Simplify the expression
^3√27x^6y^4

PLEASE SHOW WORK!

Answers

Answer 1

Answer:

21 + 12i

Step-by-step explanation:

Given

(3 - 4i)(1 + 5i) - (2 - i) expand the product of factors

= 3 + 11i - 20i² - 2 + i

= 3 + 11i + 20 - 2 + i  collect like terms

= 21 + 12i


Related Questions

Jordan started a new diet when he weighed 300 pounds. He lost an average of 5 pounds per week. Which of the following equations represents this situation?​

Answers

I believe the answer is 300-5x
x being the amount of weeks


please answer i will give a thanks!

Answers

Answer:

21cm^2

Step-by-step explanation:

Formula for area of triangle = (base x height) / 2

in this triangle: base = 7        Height = 6

= (7 x 6) / 2

= 42 /2

= 21cm^2

There were 350 apples on the tree in March. By September there were 420 apples on the tree.
What was the percentage of change of apples on the tree? Round your answer to the nearest
tenth. *

Answers

Answer:

Step-by-step explanation:

20%

Answer:

The correct answer is 20.0% increase.

Step-by-step explanation:

In this situation, you would need to find how to find the percentage of change.

Therefore, you will need to first use subtraction, division and then multiplication to justify your answer.

--

First, find out how much the original number increased by.

[tex]420-350=70[/tex]

Next, divide the 70 with the original number, which is 350.

[tex]7[/tex] ÷ [tex]350=0.2[/tex]

Finally, to turn your decimal into a whole number, multiply by 100.

[tex]0.2[/tex] × [tex]100=20[/tex]

--

Remember to add the percent (%) symbol after receiving your final product.

20%

find f^-1(x) where
f(x)=3x+2/x

Answers

Answer:

x = -3y + 2

-3y = x - 2

f^-1(x) = y = -(x-2)/3

Step-by-step explanation:

The inverse here is just straight line so it is a function

A store is advertising that it offers a 14% discount had on everything purchased at the store. When Aiza (آئزہ) had paid $670.80 for her purchase, what was the originally marked price for her item (or items) in dollars?
A. 780
B. 1284.50
C. 701.60
D. 1089.00

Answers

Answer:

780

Step-by-step explanation:

A salon offers three services–manicures, massages, and hair styling. Five clients
come in for all three services. Forty clients come in for both hair styling and
manicures. Thirty-five clients come in for both manicures and massages. Fifteen
clients come in for both hair styling and massages. Ten clients come
in only for massages. Five clients only come in for hair styling and only two
clients come in for just manicures. How many total clients are represented by
the data?

Answers

Answer:

Well... The data represents 97 clients.

Step-by-step explanation:

I also included a picture to explain.

Please help me with this.​

Answers

Answer:

(3,-7)

Step-by-step explanation:

The point where they cross is the solution

(3,-7) would be your answer:))

In today’s lesson you voted a sheet of paper multiple times. Identify the rectangles that were scaled copies of your original rectangle sheet of paper. Use the image to help.

Answers

I think that the answer will be

C,E

Scarlett stopped at a campground along the Appalachian trail. The campground had a 1 2 acre area for tents, divided into 6 equal campsites. Scarlett picked one of the sections to pitch her tent. Which expression would give you the size of Scarlett’s campsite? Check all that apply.

Answers

Answer:

A and D 1/2 divided by 6 and 6/12 divided by 6

Step-by-step explanation:

I just took the assignment

two thirds of a number increased by five. write in algebraic expression

Answers

Answer:

[tex]\frac{2}{3}[/tex] n + 5

Step-by-step explanation:

let n be the number , then the algebraic expression is

[tex]\frac{2}{3}[/tex] n + 5

the difference of a number and its absolute value.

Answers

Answer:

he sum of the first number and the square of the second number is 18. The difference between the square of the second number and twice the first number is 12.

I know the first set of equations would be x+y2=18 and y2−2x=12, and we can get x=2 and y=2 or y=−2.

My question is about how to understand difference when making equations. I know it means subtraction but would you ever use absolute values when making the equation?

For example, if I said the difference between a number x and 7 is 3, then wouldn't there be two answers? I would think of it as |x−7|=3 and then we could get two answers: x=10 and x=4. My rationale is that on the number line, the distance between either of my x values and 7 is 3.

In the quoted question I began with, then I could get the numbers of x=10 and y=22–√ or y=−22–√ but that's only if I did |y2−2x=12| and I don't feel that's right.

Step-by-step explanation:

If a number is non-negative (0 and above), the difference between it and its absolute value would be 0. If the number is negative, the difference between it and its absolute value would be twice the absolute value.

For example, | -1 | = 1. 1 - (-1) = 2

Find the slope for (10, 22) and (3, 14)

Answers

Answer:

slope: m=8/7

Step-by-step explanation:

Choose the best answer to classify the following number as Rational, Irrational, a Natural Number, or not a Real Number: 0/7

Answers

Answer:

a natural number

Step-by-step explanation:

0/7=0

and then '0' is included in natural numbers from, 0,1,2,3,4,.........

When solved for x, which inequality represents the number line?
A) 12x − 8 > 8 + 4x
B) 12x − 8 > 8 − 4x
C) 12x + 8 > 8 + 4x
D) 12x + 8 > 8 − 4x

Answers

I think its C, i could be wrong but im pretty sure its C

Hhhhhhhhhtuubvyjjjnnbhjjjjj

Greg drives at 50 mph for 2 hours.
How far did he drive?
O 20 mi
O 75 mi
0 125 mi
O 150 mi

Answers

Answer:

125 mi po Hindi kopo sure

You saved $500 this year. Each year you plan to save 5% more than the previous year. How much do you expect to save after 8 more years?
A. $738.73
B. $5513.28
C. $5013.28
D. $5788.95

Answers

Answer:

1st year

50hdnjxwmmwdbbd

djjrjeuie

Answer:

a. 738.73

Step-by-step explanation:

hope that’s righttt.

What I did was 500x0.05 and with the answer I did x0.5 again and added it to the previous year until the 8th time each was 738.73 correct me if I’m wrong

edit so it’s wrong….not sure what I did wrong

The monthly utility bills in a city have a mean of $70 and a standard deviation of $8. Find the s-scores that correspond to utility bills of $60, $71 and $9. What can you conclude

Z-Score for:
$60:
$71:
$92:

Answers

92 because I'm really good at math

The z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.

What is Z-score?

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

[tex]Z = \dfrac{X- \mu}{\sigma}[/tex]

Where Z is the Z-score,

X is the data point,

μ is the mean and σ is the standard variable.

As it is given that the standard deviation of the monthly utility bills is $8, while the mean is $70. Therefore, the z-score can be written as,

A.) X= 60

[tex]Z = \dfrac{X- \mu}{\sigma}=\dfrac{60- 70}{8} = -1.25[/tex]

B.) X = 71

[tex]Z = \dfrac{X- \mu}{\sigma} = \dfrac{71- 70}{8}=0.125[/tex]

C.) X = 92

[tex]Z = \dfrac{X- \mu}{\sigma}= \dfrac{92- 70}{8}=2.25[/tex]

Hence, the z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.

Learn more about Z-score:

https://brainly.com/question/13299273

9 X 34
Distributive property

Answers

Answer:

306

Step-by-step explanation:

Answer:

the answer is 306 but the distributive property is not needed for this problem

Please, help me in this!

Answers

QUESTION 1 :
Every 12 stairs she trips up 1
So 204 / 12 = 17

Answer : she climbs 204 stairs. And trips 17 times

QUESTION 2
96/ 12 = 8

Answer : she climbs 96 stairs and trips 8 times

QUESTION 3 :
24 x 12 = 288

Answer : she’s climbed 288 stairs and trips 24 times




please help me someone

Answers

That’s the answer
Just like this

Match each expression on the left to the equivalent decimal.
4.6
5.6
5.7
6.7

2.63 + 3.07
9.4 - 4.8
3.92 + 1.68
8.5 - 1.8

Answers

Answer:

1. 5.7

2. 4.6

3. 5.6

4. 6.7

Step-by-step explanation:

Solve 5x + 14 = k for x

Answers

Answer:

[tex]x = \frac{k - 14}{5} \\ [/tex]

Step-by-step explanation:

[tex]5x + 14 = k \\ 5x = k - 14 \\ x = \frac{k - 14}{5} \\ [/tex]

(10x-18) (8x+14) value of x

Answers

Answer: 80 x^3 - 4x^2- 252x

Step-by-step explanation:

Answer:

80^2 − 4 − 252

Step-by-step explanation:

in pic

(Credit: Symbolab)

(hope this helps can I pls have brainlist (crown)☺️)

Helppppppppppppppppppppppppppppppppppppppppp pls

Answers

Answer:

Coffee Beans to Go is cheaper, selling coffee at $4.75 per pound.

Step-by-step explanation:

The graph is cruddy and hard to see but! when you go to 2 pounds and then up the the cost, it's $9.50. 9.50/2= 4.75. kapeesh??

Evaluate 3p - 59 for p =6 and q = 4.

Answers

My answer:

−p2−4q+r2 =−(−5)2−4(4)+(−10)2 .

Dr. Reyes is examining whether exercise is linked to mood. She recruits a sample of college students and asks them to answer whether they exercised at least three times last week (yes or no) and to rate their mood in the last week (1: Not happy at all to 5: Very happy). Her results show that students who exercised in the last week also reported happier moods. Can Dr. Reyes make a causal inference from her study

Answers

The answer to whether Dr. Reyes can make a causal inference from the study is;

No, she can't make a casual inference from the study because she met only one of the three criteria's for causality.

To answer this question, we need to know the conditions for causality in statistics research because causality gives the relationships such that a change in one variable would have to result in a change in another variable.

Now, the three conditions are;

1) Covariation; This condition means that the causal variable must have to vary with with the variable it is assumed to cause in a systematic manner.

2) Temporal precedence; Thus condition simply means that cause must precede effect. In summary it denotes that the variable that has the causal effect must come before the effect that it is meant to cause.

3) Control for extraneous variables; This condition means that results of an experiment or research must not be due to factors outside of the experiment/research

     Now, in our question, he fulfilled the covariation condition because the

result of the research is tied to the responses from the sample students.

However, she did not fulfill the temporal precedence because the cause of

their moods did not precede the effects in his research.

Also, she did not fulfill the condition of control of extraneous variables

because other factors outside of the research itself may have affected their

moods.

Read more at; https://brainly.com/question/10811163

Help I need this pls provide expnation too thx

Answers

There are infinitely many solutions. I took geometry a year ago and it was easy algebra isn’t that hard if you need anymore help let me know

Write an equation of the line that passes through the point (4, –5) with slope 2.

Answers

Answer:

y + 5 = 2(x−4)

Step-by-step explanation:

slope = 2

y = mx + b

-5 = 2(4) + b

-5 = 8 + b

-8    -8

------------------

-13 = b

y = 2x - 13, in other words --> y + 5 = 2(x−4)

So, y + 5 = 2(x − 4) is the equation of the line that passes through (4, -5).

Answer:

y + 5 = 2(x−4)

Step-by-step explanation:

y = mx + b

-5 = 2(4) + b

-5 = 8 + b

subtract 8 on both sides

-13 = b

Solve the Scientific Notation

(4 x 10⁴) (2 x 10³) ​

Answers

Answer
(4 x 10^4) = 40000
(2 x 10^3) = 2000

[tex]\mathsf{(4 \times 10^4)(2\times 10^3)}\\\\\mathsf{= (4\times 10\times10\times10\times 10)(2\times 10\times 10\times 10)}\\\\\mathsf{= (4\times 100\times100)(2\times 100\times 10)}\\\\\mathsf{= (4\times \bold{10,000})(2\times \bf {1,000)}}\\\\\mathsf{= \bf (40,000)(2,000)}\\\\\mathsf{= 80,000,000}\\\\\mathsf{\approx 8\times 10^7}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{8\times 10^7}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

y= tan(X-π/5) tìm tập xác định của hs

Answers

Answer:

?

Step-by-step explanation:

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