2. Write (2+5i)(3-1) as a complex number in standard form a+bi.
real part + imaginary part

Answers

Answer 1

Answer:4+10i

Step-by-step explanation:

6+15i-2-5i

4+10i


Related Questions

This Question: 1 pt
17 of 29
Emma has $160 cash to spend at a music store. How much can she spend on items if there is a 7% sales tax?
Emma can spend on items.
(Round to the nearest cent as needed.)

Answers

Answer:

i would say $148.80

Step-by-step explanation:

tax would amount to 11.20 so when you subyract that from the total then the rest is what she can spend.

Each year, the number of students taught by Mr. Wright increases by 2. The first year, he taught 18 students. The total number of students taught after 25 years can be represented using the expression . How many students has Mr. Wright taught in 25 years?

Answers

Answer: 452 students

25 x 18 = 450 + 2= 452

Answer:

C

Step-by-step explanation:

Correct on edge 2020

in a school of 40 students 10% are boys. How many boys are there

Answers

Answer:

4boys

Step-by-step explanation:

40 of 10% 40×10/100 =4 remember percentage is always over 100

don’t send links; PLEASE HELP FAST I WILL DO ANYTHING, I’LL GIVE U 2K ON BLOXBURG

Answers

Answer:

i think its 90

Step-by-step explanation:

you would multiply the right box which is 2 x 3 ( i got 3 because its half of 6 which is at the top) then you would multiply the left box which is 3 x 5

2 x 3 = 6

3 x 5 = 15

15 x 6 = 90

i dont need the 2k on bloxburg

if its right could i get brainliest?

the difference of 4 and 5 times h ​

Answers

Answer:

4-5h

Step-by-step explanation:

difference = minus sign

and 5 times h

Answer:

Step-by-step explanation:

There are two answers to this making the question slightly ambiguous.

1) 4 - 5*h

2) (4 - 5)*h

It is impossible to tell which answer is the correct one. However, if I had to guess, I would say it is 4-5*h

I’ll give 35 points and brainliest answer asap please it’s due tomorrow

Answers

Answer:

try 72.2

Step-by-step explanation:

surface area is 3.8x3.8x6

but minus one side is 3.8x3.8x5 = 72.2

Answer:

72.2 square meters

Step-by-step explanation:

multiply the length by the width

3.8 x 3.8 = 14.44

in a cube there are 6 sides; however, it says Sarah is painting all the sides except for one so she is only painting 5 sides

14.44 x 5 = 72.2

Which expression is equivalent to 16 + 2 ⋅ 36?

Answers

4(2x+3)(2x-3)
Have a nice day

Is the ratios 2.5 : 8 and 7.5 : 24 are they equivalent?

Answers

Answer:

Yes, they are equivalent.

Step-by-step explanation:

To get from 2.5 : 8 to 7.5 : 24, you have to multiply by both sides by 3.

So they are equivalent.

PLEASE HELP 20 POINTS!

which model shows 1/4 ÷ 3?

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A

which of the following is true about the function below? 1/√x-6

Answers

Answer:

Assuming the x-6 is under the square root sign, the value must be greater than 6 because you can not have 0 in the domain. That narrows it down to either B or C but since the denominator can not be anything less than 0, your answers will always be positive so that means the answer is Its domain is (6,∞)

Answer:

Its domain is (6,∞) and its range is (0,∞) your welcome :3

The National Safety Council publishes information about automobile accidents in Accident Facts. According to that document, the probability is .40 that a traffic fatality involves an intoxication or alcohol-impaired driver or nonoccupant. In eight traffic fatalities, find the probability that the number which involve an intoxicated or alcohol-impaired driver or nonoccupant is

Answers

Answer:

[tex]P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}[/tex]

In which x is the number of which we want to find the probability.

Step-by-step explanation:

For each traffic fatality, there are only two possible outcomes. EIther it involved an intoxicated or alcohol-impaired driver or nonoccupant, or it didn't. Traffic fatalities are independent of other traffic fatalities, which means that the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability is .40 that a traffic fatality involves an intoxication or alcohol-impaired driver or nonoccupant.

This means that [tex]p = 0.4[/tex]

Eight traffic fatalities

This means that [tex]n = 8[/tex]

Find the probability that the number which involve an intoxicated or alcohol-impaired driver or nonoccupant is

This is P(X = x), in which x is the number of which we want to find the probability. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}[/tex]

Based on the binomial probability principle, the probability involving the number of non-occupant is [tex] P(x = k) = 8Ck \times 0.40^{k} \times 0.60^{8-k} [/tex]

Let :

Number of alcohol - impaired or non-occupant = kNumber of trials, n = 8Probability of success, p = 0.40q = 1 - p = 1 - 0.40 = 0.60

Using the binomial probability relation :

[tex] P(x = x) = nCx \times p^{x} \times q^{n-x} [/tex]

x = k

Substituting the values into the relation :

[tex] P(x = k) = nCk \times 0.40^{k} \times 0.60^{n-k} [/tex]

Hence, the required probability expression is [tex] P(x = k) = 8Ck \times 0.40^{k} \times 0.60^{8-k} [/tex]

Learn more :https://brainly.com/question/23287510

solve[5x-6/7] = -8 for x
please help

Answers

Answer:

7=7

Step-by-step explanation:

1 Let x=\frac{13}{5}x=  

5

13

​  

.

5\times \frac{13}{5}-6=7

5×  

5

13

​  

−6=7

2 Cancel 55.

13-6=7

13−6=7

3 Simplify  13-613−6  to  77.

7=7

7=7

hope this helps.

(2a^3 b^4) ^4=
What is the answer to this problem ?

Answers

Answer: 16a^12 b^16

Step-by-step explanation:

Everything in the parenthesis to the 4th power.

2a^4= 16a

3*4=12

b^4*4=b^16

Help

solve 2x+4=10

Brainliest

Answers

❤️ The answer is attached

achievements.

Answer:

x=3

Step-by-step explanation:

2x+4=10

subtracting both side by 4.

2x+4-4=10-4

2x=6

x=6/2=3

what is the value of x ?

Answers

Answer:

the letter "x" is often used in algebra to mean a value that is not known yet. It is called a 'varaible' or sometimes unknown.

Answer:

It is 65, B

Step-by-step explanation:  because  180-115=65 tell me if you dont get it

x is less than or equal to 25.


Question options:

x ≥ 25


x > 25


x ≤ 25


x < 25

Answers

Answer:

3rd one

Step-by-step explanation:

since its less you would do this symbol: <

and it says equal to so that means you would put a line under the symbol

23, 75, 79, 99, 105, 110, 110, 142, 149, 168, 168, 170, 183, 195, 202
Find the IQR, show your work.

HELP!

Answers

Answer:

the IQR is 71

Step-by-step explanation:

the Xl is 99 and the Xu is 170. Xu-Xl=71

How many planes are shown in the figure?

Answers

Answer:

5

Step-by-step explanation:

5

Answer:

5

Step-by-step explanation:

a rectangular banner has an area of 36.75 square feet, The length of the banner is 15 feet. What is its width

Answers

Answer:

w=A

l=36.75

15=2.45ft

Step-by-step explanation: there you go :>

Answer:

2.45ft

Step-by-step explanation:

w=A

l=36.75

15=2.45ft

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 16, 8,4,... 16,8,4,... \text{Find the 10th term.} Find the 10th term.

Answers

Answer:

0.03125

To the nearest thousandth = 0.031

Solve for x.
4x + 1 = 3x - 2
x= [?]

Answers

4x + 1 - 3x -2 =0
<=> x - 1 = 0
<=> x = 1

A shoe box is 4 inches wide, 3 inches deep, and 12 inches long. What is the volume?

I know it's 144 but 144 what?​

Answers

Answer:

144in square

Step-by-step explanation:

What is the answer to questions 5 + 3? Please answer due midnight.

Answers

Answer: 8

Step-by-step explanation: np:)

Giving Brainliest Go FASTTTTT

Answers

ANSWER

8, M<D=80°

M<E=60°

M<F=40°

X=5

Y=18

Scale factor of triangle ABC : triangle DEF= 3

9, X=20

Y=16

Z=10

m<D=61°

m<E=75°

m<G=112°

m<B=112°

scale factor ABCD : EFGH = 1.6

g Based on historical data, your manager believes that 32% of the company's orders come from first-time customers. A random sample of 146 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is greater than than 0.43

Answers

Answer:

0.0022 = 0.22% probability that the sample proportion is greater than than 0.43

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Based on historical data, your manager believes that 32% of the company's orders come from first-time customers.

This means that [tex]p = 0.32[/tex]

Mean and standard deviation:

Sample of 146 means that [tex]n = 146[/tex]

[tex]\mu = p = 0.32[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.32*0.68}{146}} = 0.0386[/tex]

What is the probability that the sample proportion is greater than than 0.43?

This is 1 subtracted by the pvalue of Z when X = 0.43. So

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

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.43 - 0.32}{0.0386}[/tex]

[tex]Z = 2.85[/tex]

[tex]Z = 2.85[/tex] has a pvalue of 0.9978

1 - 0.9978 = 0.0022

0.0022 = 0.22% probability that the sample proportion is greater than than 0.43

Together, Dien and Jane can eat 2/3 of a pizza in 4 seconds. How long would it take each of them to eat the whole pizza alone if Jane can eat a pizza 5 seconds faster than Dien?

Answers

Answer:

Dien - 15 seconds, Jane - 10 seconds

Step-by-step explanation:

Together:

2/3 of pizza ⇒ 4 secondsFull pizza ⇒ 4 ÷ 2/3 = 6 seconds

Dien needs  x seconds to eat pizza

Jane needs  x - 5 seconds to eat pizza

In one second, Dien can eat 1/x, Jane can eat 1/(x - 5), together 1/6 of a pizza

1/x + 1/(x - 5) = 1/6x(x - 5) = 6(x + x - 5)x² - 5x - 12x + 30 = 0x² - 17x + 30 = 0(x - 15)(x - 2) = 0x = 15 (x = 2 is discounted as not realistic)

Dien can eat a pizza in 15 seconds, Jane can eat a pizza in 10 seconds

3 tons = ________ how many pounds

Answers

Answer:

6000 pounds

Step-by-step explanation:

calculator

Answer:

6000lbs

Step-by-step explanation:

3*2000=6000

ivan drove 871 miles in 13 hours. At the same rate how many miles will he drive in 9 hours( HELP)

Answers

Step-by-step explanation:

speed = distance/time

speed = 871÷13

speed = 67 mph

distance = speed x time

distance = 67mph X 9hrs

distance = 603 m

Answer:

603miles

Step-by-step explanation:

871=13

?=9

cross multiply

871x9=13?

7839=13?

7839/13=13?/13

603=?

?=603

I need help solving this​

Answers

The answer would be 108 ft^2

Reduce the ratio to its lowest form.
42 : 49

Answers

Answer:

6:7

Step-by-step explanation:

divide both sides by 7...

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