Donte simplified the expression below.

4(1+3i)-(8-5i)
4+3i-8+5i
-4+8i

What mistake did he make?

Donte Simplified The Expression Below.4(1+3i)-(8-5i)4+3i-8+5i-4+8iWhat Mistake Did He Make?

Answers

Answer 1
He did not apply distributive property correctly for 4(1 + 3i)

Instead of 3i, it should be 12i.
Answer 2

Answer:

A. He did not apply the distributive property correctly for 4(1+3i)

Step-by-step explanation:


Related Questions

3,-30,300,-3000 is it geometric or not geometric if so whats the common ratio r=?

Answers

Step-by-step explanation:

everything can be found in the picture

In the graphing tool, move the sliders for y=k(square root of x) and y= (square root of kx). Find a value of k where the graphs coincide. At what value of k does this occur? What happens to each of the equations when k is negative?

Answers

1+1+1+1+1++1+1++1+1+1+1+1+1+1

An actuary was analyzing the loss experienced by flooding on houses and concluded that it was uniformly distributed on [0, 1000]. After taking another look at the data, he realized the loss amounts used were in real dollars. He then determined that the inflation rate was at 6.5%. Assume that the rest of his analysis still holds true. Calculate the probability that the loss in nominal dollars is less than 1000, given that the loss in nominal dollars is greater than 200.

Answers

Answer:

100%  probability that the loss in nominal dollars is less than 1000, given that the loss in nominal dollars is greater than 200.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Uniformly distributed on [0, 1000].

This means that [tex]a = 0, b = 1000[/tex]

Given that the loss in nominal dollars is greater than 200.

This means that [tex]a = 200[/tex]

Calculate the probability that the loss in nominal dollars is less than 1000

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

[tex]P(X < 1000) = \frac{1000 - 200}{1000 - 200} = 1[/tex]

100%  probability that the loss in nominal dollars is less than 1000, given that the loss in nominal dollars is greater than 200.

PLS HELP ASAP !!! PLSSSSSSS

Answers

Answer:

Here is the answer

Step-by-step explanation:

Does the answer help for you?

Help and explain please and thanyouu

Answers

Answer:

f(-3.2) = - 7.2

Step-by-step explanation:

f(x) = [x] - 4

f(-3.2) will be ;

Here, we put - 3.2 in place of x as the question is interpreted as the value of f(x) when x = - 3.2

Therefore, we have ;

f(-3.2) = - 3.2 - 4

f(-3.2) = - 7.2

The retail cost of a TV is 50 ​% more than its wholesale cost.​ Therefore, the retail cost is​ ____ times the wholesale cost.

Answers

Answer:

Let the retail cost be x and the wholesale cost be y

Step-by-step explanation:

x = y + 0.50y

x = 1.50y

Therefore the retail cost is 1.50 times the wholesale cost.

Determine if the data of described below is quantitative or qualitative. Explain. Voltage measurements from your home​

Answers

Answer: This data is quantitative data because the measurement of voltage deals with numerical values.

The distance from place A to place B is 100 yards. What is this distance in terms of feet?


A. 100 ft.
B. 200 ft.
C. 250 ft.
D. 300 ft.

Answers

Answer:

D

Step-by-step explanation:

one yard is 3 feet

100x3=300

The answer is d because 3yrds=1ft so 3x100=300

I’ll mark brainliest

Answers

Answer:

A.) y = -7/4x - 7

Step-by-step explanation:

The line's slope is -7/4 and its y-intercept is located at the point (0, -7).

You can use a graph app or website where you can type in the equation then it will draw it for you.

Steven had 1200 East spend 40% of it how much money did he spend ​

Answers

Answer:

steven spend 480

Step-by-step explanation:

What is the volume of the shape in the picture?

Answers

Answer:

455

Explain your answer:

The temperature today will be at most 50°F. Write Inequality

Answers

Let h be high temperature for today.

We are told that today high temperature will be at least 50 degrees. This means the high temperature will be greater than or equal to 50 degrees.

Let us represent this information by our inequality.

Therefore, our desired inequality will be .  

h [tex]\geq[/tex] 50 degrees

A production plant cost-control engineer is responsible for cost reduction. One of the costly items in his plant is the amount of water used by the production facilities each month. He decided to investigate water usage by collecting seventeen observations orn his plant's water usage and other variables
Variable Description
Temperature Average monthly temperate (F)
Production Amount of production (pounds)
Days Number of plant operating days in the month
Persons Number of persons on the monthly plant payroll
Water Monthly water usage (gallons)
The output is shown below Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.876 0.767 0.689 17 ANOVA cance F Regression Residual Total 4 12 16 2448834.0 612208.5 743797.5 61983.1 192631.5 9.88 0.0009 Coefficients 6360.34 13.87 0.21 126.69 21.82 Standard Error 1314.39 5.16 0.05 48.02 7.28 t Stat P-value 4.84 0.0004 .69 0.0197 .65 0.0006 2.64 0.0216 .00 0.0112 Lower 95% 3496.5 Upper 95% 9224.15 25.11 0.31 22.06 5.95 Lower 95.0% 3496.52 2.63 0.11 231.32 37.69 uper 95.0% 9224.15 25.11 0.31 22.06 5.95 Intercept Temperature Production 2.63 0.11 -231.32 37.69 Persons
What is a, the standard error of the estimate? Include 2 decimal places.

Answers

Answer:

248.96

Step-by-step explanation:

From this regression output we have the MS Residual or mean squared error to be equal to 61983.1

the question requires us to find the standard error of the estimate. The standard error of the estimate can be gotten by finding the square root of the MSE.

[tex]\sqrt{61983.1}[/tex]

= 248.96

the standard error of the estimate = 248.96

thank you!

the average of three numbers is 6. the average of the first and second is 7, what is the value of the third number?​

Answers

Answer:

4

Step-by-step explanation:

the sum of the first two numbers is 7*2=14 and the sum of the three numbers is 6*3=18 then you subtract the answers giving you 4

My wife and I are Racing around a 400m track going opposite directions. I am running at 8 m/s and she has a head start of 50 meters running at 5 m/s, how long does it take for us to reach the same point ? Explain.

Answers

Answer:

They both meet after 27 s.

Step-by-step explanation:

Length of track = 400 m

speed of man, v = 8 m/s

speed of woman, v' = 5 m/s

Woman is 50 m ahead of man.

Let the time taken to meet is t.

Let the man covered a distance d in time t o the woman covered a distance 400 - 50- d.

[tex]\frac{d}{8}=\frac{400-50-d}{5}\\\\5 d = 8 (350-d)\\\\13 d = 2800\\\\d = 215.4 m[/tex]

The time taken is

[tex]t=\frac{215.4}8}\\\\\\t=27 s[/tex]

for the function g defined above, a is a constant and g(4) = 8 what is the value of g(-4)

Answers

Answer:

-8

Step-by-step explanation:

g(4)=8

8÷4=2

g=2

g(-4)=2(-4)

=(-8)

holp it can help you.

Sorry for the blurry picture anyone can help?? That’ll be nice

Answers

Answer:

Option 2

Step-by-step explanation:

Since both triangles are similar, that means that the larger triangle's sides are greater than the smaller triangle's sides by a factor. We can see that 10 corresponds to x, so in the proportion 10 and x must be on the same side. That rules out option one and three. Now, we see that 7 corresponds to 14 and 6 corresponds with 12, so the other side must have 6 and 12 on the same side or 7 and 14 on the same side. We see that the only option that satisfies this criteria is Option 2.

Answer:

Option 2 - [tex]\frac{10}{x} =\frac{7}{14}[/tex]

Step-by-step explanation:

So, lets just look at the two traingles, find the difference, then see if the graphs will give us the same difference.

So lets see.

One side of triangle ABC is 6. The same side of triangle DEF is 12.

Another side of triangle ABC is 7. THe same side of trinalge DEF is 14.

The final side of trinalge ABC is 10. The same side of triangle DEF is x.

We only need to compare a single side of these to find the difference:

12/6=2

14/7=2

This is very simple.

However, lets shift this into what they wrote.

So we know that the difference between each side is 2.

ALL sides are like this.

We know that both 12/6 and 14/7 equal the same thing, so tecnically, they are equal:

12/6=14/7

This is the same with 10/x as well.

So:

10/x=14/7

10/x=12/6

So we know that the difference from ABC to DEF is 2. But the difference from DEF to ABC is the opposite, 1/2.

Knowing this:

x/10=6/12 is the same thing as 10/x=12/6. And x/10=7/14 is the same thing as 10/x=14/7

So our answers can also be:

x/10=7/14

x/10=6/12

This looks like option 2.

Hope this helps!

what is the equation of the line that has a gradient of 3 and passes through the point (-1,3)

Answers

Answer:

d

Step-by-step explanation:

Determine whether the events are independent.Numbers are written on slips of paper in a hat; one person pulls out a slip of paper without replacing it, then a second person pulls out a slip of paper.Independent Not independent

Answers

Answer:

Not independent

Explanation:

Two events are not independent/dependent if the result of one event affects the outcome of the other. In the case above, numbers are picked without replacement, therefore if one slip is picked then the other slip will be picked(slips are picked only once not twice or more as in independent events). Events would be independent if there was a replacement.

If three workers can paint a room in two hours and approximately how long does it take for workers to paint the same room assume the time needed to paint the room is inversely proportional to the number of workers

Answers

Answer:

The time taken by the four workers to paint the room is 1.5 hours.

Step-by-step explanation:

3 workers can paint a room in 2 hours

So, 1 worker can paint the same room in 6 hours.

Now the number of workers is 4.

So, the time in which the 4 workers can paint the same room is

= 6/4 = 1.5 hours

The difference between the measures of two complementary angles is 56 determine the measures of the two angles. The larger angle has a measure of? And the smaller angle has a measure of?

Answers

Answer:

Larger angle= 73, smaller angle= 17

Step-by-step explanation:

I wrote an equation, and x is the measure of one of the angles

90=2x-56

90+56=2x-56+56

146=2x

73=x

One of the angles is 73, so subtract 53 from 73 to find the second angle. 73+56=17

You can make sure it adds up to a complementary angle by seeing if 17+73=90

in the parallelogram below x=?

Answers

Answer:

20

Step-by-step explanation:

In a parallelogram diagonals bisect each other.

[tex] \therefore \: 6x - 57 = 3x + 3 \\ \\ \therefore \: 6x - 3x = 57 + 3 \\ \\ \therefore \: 3x = 60 \\ \\ \therefore \: x = \frac{60}{30} \\ \\ \therefore \: x = 20[/tex]

A married couple filing jointly with a taxable income of $240,000 and a $7000 tax credit. The tax owed is?

Answers

Answer:

247000 ?

Step-by-step explanation:

If I understand this right then that should be the answer. I added 240000 and 7000

Assume that when adults with smartphones are randomly​ selected, 54​% use them in meetings or classes. If 5 adult smartphone users are randomly​ selected, find the probability that exactly 3 of them use their smartphones in meetings or classes.

Answers

Answer:

Es el 60%

Step-by-step explanation:

A high school currently has a 30% dropout rate. They’ve been tasked to decrease that
rate by 20%. Find the equivalent percentage point drop.

Answers

I really don't know but I guess 59

Leigh plans to estimate the area of the figure on the grid by identifying the full and partial squares that make up the figure.

Answers

Just count out the square from each part if u do that correctly then u add all of them so the answer will be the third one

Can I get help with this?

Answers

9514 1404 393

Answer:

  y +3 = 1/5x

Step-by-step explanation:

The point-slope form of the equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

You have y-intercept point (0, -3) and slope -1/5, so the equation is ...

  y -(-3) = -1/5(x -0)

  y +3 = -1/5x

Explain why the triangles are similar and write a similarity statement.

Answers

Answer:

The triangles are congruent, because;

Angle H and K are Opposite Side Interior Angles which are congruent,

Angle GJH and LJK are vertical angles which an be said to be congruent

Therefore;

Triangles that have 2 or more vertices congruent are said to be congruent.

Hope this helps!

Will mark Brainlest help plsssss​

Answers

Answer:

Step-by-step explanation:

f(0) = [tex]0^{3} +1=1[/tex]

f(-2)= [tex](-2)^{3} +1=-7[/tex]

f(x+1) = [tex](x+1)^{3} +1=x^{3} +3x^{2} +3x+2[/tex]

Use the method of disk or washer to set up, but do not evaluate, an integral for a volume of the solid obtained by rotating the region bounded by the given curves about the given line.

y=√x and y=x and y=1

Answers

Answer:

V =  π /2   volume units

Step-by-step explanation:

Volume of    y = √x   bounded by  y = x   and y = 1

y = √x

limits of integration   ( see Annex )

By simple inspection limits of integration are   x = 0    to  x = 1

or  y = √x     and    y = x

solving these two equations

x = 0    y = 0       x = 1      y = ± 1

V = ∫ π*f(x)²*dx    

V  =  π * ∫₀¹ x*dx   =    π * x²/2 |₀¹

V =   π * (1/2) - 0

V =  π /2   volume units

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