Find the sum of the complex numbers (3+3i)+(8+7i)

Answers

Answer 1

Answer:

11 + 10i

Step-by-step explanation:

Just treat i like any other variable, and combine like terms. Hope that helps!


Related Questions

PLEASE HELP WILL MARK BRAINLIEST!

Answers

9514 1404 393

Answer:

  7.5

Step-by-step explanation:

Corresponding sides are proportional, so ...

  UV/VW = LM/MN

  x/6 = 15/12

  x = 6(15/12) = 15/2

  x = 7.5

1) What is the opposite of adding 5?
2) What is the opposite of subtracting 20?
3) What is the opposite of multiplying by 1/2?
4) What is the opposite of dividing by 10?


I need help pleasereee

Answers

Answer:

1. subtracting 5

2. adding 20

3. dividing by 1/2

4. multiplying by 10

1) subtracting 5
2) adding 20
3) dividing by 1/2
4) multiplying by 10

help me please i am struggle with this

Answers

The Answer is H I solved it out

In a test of a heat-seeking rocket, a first rocket is launched at 2000 fts and the heat-seeking rocket is launched along the same flight path 20 s later at a speed of 3000 fts. Find
the timest, and t, of flight of the rockets until the heat-seeking rocket destroys the first rocket
What are the times of the flight?

Answers

Answer:

Time of flight of first rocket = 60 seconds

Time of flight of second rocket = 40 seconds

Step-by-step explanation:

Let the time of flight of first rocket be t1.

Since the second rocket is launched 20 seconds later, then it means that;

t1 = t2 + 20

Where t2 is the time of flight of the second rocket.

When destruction has occurred, it means that both of the rockets would have covered the same distance.

We know that;

Distance = speed × time

Thus;

2000t1 = 3000t2

We know that t1 = t2 + 20

Thus;

2000(t2 + 20) = 3000t2

2000t2 + 40000 = 3000t2

3000t2 - 2000t2 = 40000

1000t2 = 40000

t2 = 40000/1000

t2 = 40 seconds

Thus;

t1 = 40 + 20

t1 = 60 seconds

when a number is added to 1/5 of itself, the result is 24. the equation that models this problem is n+1/5n=24. what is the value of n?

Answers

+
1
5
n
=
24


5
n
+
n
5
=
24


6
5
n
=
24


n
=
24
×
5
6


n
=
20

How many solutions are there for the system of nonlinear equations
represented by this graph?
10
8
0
4
2
-
BE
-10-8
-6
0
-2
-2
2
4
8
10
4
-
-8
-10
O A. Two
O B. None
C. One

Answers

The correct answer is 2 Solutions , see it’s how many times the two lines intersect, so 2

Probabilityyyyyyyyyyyyyyy

Answers

Answer:

Reduce if needed, asked or necessary

Step-by-step explanation:

1. 4/10

2. 2/6

3. 4/10

4. more likely

Answer:

Since Probability Is Usually Written In Fraction Form OR Ratios

(Although It Really Doesn't Matter):

1.  4/10 (2/5)

2.  2/6  (1/3)

3.  6/10 (3/5)

(All Fraction Form)

Last Question:

I can't really see the bottom but probably its 'More likely' since you can already see a bunch of red marbles.

Step-by-step explanation:

This is the basic fraction form :  ____ / ____

Based on what they ask, like the probability of picking out a black marble, count the number of black marbles in the particular bag and put that number as the numerator. The denominator is the total amount of marbles in that particular bag. Hope this helps!

i need help solving this .

Answers

Answer:b

Step-by-step explanation:

Answer:

just be smart trust me u dont need us to give u the answer ur super smart

Step-by-step explanation:

make me brainliest to help people be encourage

What is the product of x(x + 1)?
1. 2x + x
2. x2+ 2x
3. 212 + x
4. x2 + x

Answers

Answer:

4. x²+x

Step-by-step explanation:

the product of x(x + 1) = (x)(x) + (x)(1)

= x²+x

Cuanto es 91972×898972819

Answers

Answer:

82,680,328,109,068

Step-by-step explanation:

Use the on-line Big Number calculator

There are 9 people in an office with 4 different phone lines. If all the lines begin to ring at once, how many groups of 4 people can answer these lines?

Answers

Two groups of four people can answer the lines

Assume that there is a 8​% rate of disk drive failure in a year. a. If all your computer data is stored on a hard disk drive with a copy stored on a second hard disk​ drive, what is the probability that during a​ year, you can avoid catastrophe with at least one working​ drive?

Answers

Answer:

0.9936 = 99.36% probability that during a​ year, you can avoid catastrophe with at least one working​ drive

Step-by-step explanation:

For each disk, there are only two possible outcomes. Either it works, or it does not. The probability of a disk working is independent of any other disk, which means that the binomial probability distribution is used 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.

Assume that there is a 8​% rate of disk drive failure in a year.

So 100 - 8 = 92% probability of working, which means that [tex]p = 0.92[/tex]

Two disks are used:

This means that [tex]n = 2[/tex]

What is the probability that during a​ year, you can avoid catastrophe with at least one working​ drive?

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

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

[tex]P(X = 0) = C_{2,0}.(0.92)^{0}.(0.08)^{2} = 0.0064[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0064 = 0.9936[/tex]

0.9936 = 99.36% probability that during a​ year, you can avoid catastrophe with at least one working​ drive

How would I draw the reflection over the line y=2x+5?

Answers

Answer:

Step-by-step explanation:

Need help with this really fast

Answers

Answer:

6

Step-by-step explanation:

You can apply the proportion of 9/6 to 4 to get 6:

6*(9/6)= 9

So

4*(9/6) = Length LA

6= Length LA

Answer:

Option C, or [tex]2\frac{2}{3}[/tex]

Explanation:

We can see that the Line FM in the smaller triangle dialates to Line LK in the bigger triangle by the scale factor of:

FM/LK

6/9 or 2/3

So we would know that to find out the value of LA in the bigger triangle we would have to dialate it’s corresponding side FI in the smaller triangle by the same scale factor:

4 * 2/3

=> [tex]2\frac{2}{3}[/tex] = LA

Hope this helps!

8. The point in a distribution below which 75% of the cases lie in the?
A 3rd decile
B. 7th percentile C. 3rd quartile D. 1st quartile​

Answers

Answer:

C. 3rd quartile

Step-by-step explanation:

Percentile:

A data belonging to the xth percentile means that the data is greater than x% of the values of the data-set, and smaller than (100 - x)%.

Point below 75% of the cases lie:

This is the 75th percentile, which is the 3rd quartile, as 75 = 3*100/4. Thus, the correct answer is given by option c.

pls answer fast I need to submit in 5 mins !!
What is the volume of the prism?



Enter your answer, as a mixed number in simplest form, in the box.

Answers

40 5/8 cubic centimeters

The firmula for the volume of a rectangular prism is:
lwh
l= length
w= width
h= height

Use the formula with the given dimensions:
(6 1/2) (2 1/2) (2 1/2)
= (16 1/4) (2 1/2)
= 325/8 or simplified to 40 5/8

Volume is measured in cubic units, cubic CENTIMETERS in this case.

Hope this helps!

Given: triangle ABC with side lengths a, b, and c, and height h
Prove: Area = 1/2absin C

Answers

Answer:

Step-by-step explanation:

                    Statements                                        Reasons

1). ΔABC with side lengths a, b, c, and h      1). Given

2). Area = [tex]\frac{1}{2}bh[/tex]                                                 2). Triangle area formula

3). [tex]\text{sin}C=\frac{h}{a}[/tex]                                                    3). Definition of sine

4). asin(C) = h                                                4). Multiplication property of

                                                                          equality.

5). Area = [tex]\frac{1}{2}ba\text{sin}C[/tex]                                         5). Substitution property

6). Area = [tex]\frac{1}{2}ab\text{sin}C[/tex]                                         6). Commutative property of

                                                                           multiplication.

Hence, proved.

Whole numbers are closed under addition because the sum of two whole numbers is always a whole number. Explain how the process of checking polynomial division supports the fact that polynomials are closed under multiplication and addition.

Answers

Answer:

Sample Answer: If there is no remainder, then the dividend is equal to the quotient times the divisor.

The quotient and divisor are both polynomials, and their product, the dividend, is a polynomial.

If there is a remainder, then it gets added on to the product of the quotient and the divisor.

The sum of the remainder and the product of the quotient and divisor is the dividend, which is a polynomial.

Step-by-step explanation:

for sure enjoy!

Answer:

If there is no remainder, then the dividend is equal to the quotient times the divisor.

The quotient and divisor are both polynomials, and their product, the dividend, is a polynomial.

If there is a remainder, then it gets added on to the product of the quotient and the divisor.

The sum of the remainder and the product of the quotient and divisor is the dividend, which is a polynomial.

By converting to an exponential expression, solve log2 (x + 5) = 4

Answers

Step-by-step explanation:

just insert a base of two at on both sides and solve.

The solution of the logarithmic equation ㏒ (x + 5) / ㏒ 2 = 4 will be 11.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The logarithmic equation is given below.

㏒₂(x + 5) = 4

Simplify the equation, then we have

㏒ (x + 5) / ㏒ 2 = 4

㏒ (x + 5) = 4 × ㏒ 2

㏒ (x + 5) = ㏒ 2⁴

Take antilog on both sides, then we have

(x + 5) = 2⁴

(x + 5) = 16

x = 11

The solution of the logarithmic equation ㏒ (x + 5) / ㏒ 2 = 4 will be 11.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

27
78%
Work out the area of this circle.
Take a to be 3.142 and write down all the digits given by your calculator.
21
0
Type here to search
I

Answers

Answer: See explanation

Step-by-step explanation:

Your question isn't complete and well written but I'll give examples on the calculation of the area of a circle.

1. Let's assume that a circle has a radius of 14cm and we want to know the area.

Area of a circle = πr²

where π = 3.142

r = radius = 14cm

Area = πr² = 3.142 × 14²

= 3.142 × 196

= 615.382cm²

2. Let's assume that we are given a diameter of 10cm and told to calculate the area of the circle.

Note that Diameter is twice the radius.

Area of a circle = πr²

where π = 3.142

r = radius = Diameter/2 = 10cm/2 = 5cm

Area = πr² = 3.142 × 5²

= 3.142 × 25

= 78.55cm²

the average of two number is xy.if one number is x the other i​

Answers

Answer:

z = (2xy-x)

Step-by-step explanation:

Let the first number be x and the other number is z.

According to question,

The average of two number is xy i.e.

[tex]\dfrac{x+z}{2}=xy\\\\x+z=2xy\\\\z=2xy-x[/tex]

So, the value of z is (2xy-x) i.e. the other number is (2xy-x).

F(x) =-2x-4 find x if f(x)=14

Answers

Answer:

14=-2x-4

18=-2x

x=-9

Hope This Helps!!!

Can someone give me the letter to all answers 1-4 or at least one 3

Answers

Answer:

hello there here are your answers:

1) a- 12, 18, 24, 30, 36

2) b- 31

3) a-communitive property of addition

4) a- 6a

Step-by-step explanation:

1: go through all the numbers and add 6 like 12+6=16 etc.

2: the common difference is 4 so 27+4 =31

3: communitive property because you can change the number in any order and still get the same sum

4: 6a because only 24ab has a b in it


A driver must decide whether to buy a new car for $24,000 or lease the same car over a four-year period. Under the terms of the lease, she can make a down payment
of $3000 and have monthly payments of $150. At the end of the four years, the leased car has a residual value (the amount she pays if she chooses to buy the car at
the end of the lease period) of $11,000. Assume she can sell the new car at the end of the four years at the same residual value. Is it less expensive to buy or
to lease?

Answers

Answer:

3000 is the answer this question.

sets A and B have 3 and 6 elements respectively. what can be the minimum number of elements in AUB

Answers

Answer:

6

Step-by-step explanation:

n(AUB) = n(A) + n(B) - n(AnB)

n(AUB) can have the minimum number of elements if n(AnB) has the maximum number of elements.

n(AnB) maximum = 3

so n(AUB) = 3+6-3 = 6

What is the coefficient of x2 in the expansion of (x + 2)??
O A.
2
OB.
3
O C.
4
OD.
6

Answers

x+2 in expansion of (x+2) ?

A

For a particular species of wolf, 55% are female, 20% hunt in medium-sized packs, and 15% are both female and hunt in medium-sized packs. What is the percent of wolves that are female but do not hunt in medium-sized packs?

Answers

20% is the answer
55%-20%-15%=20%

On Monday, 27 adults visited an amusement park. On Tuesday, 23 adults visited the amusement park. The enterance fee for the adults is Rs. 100. How much amount is collected from the adults in these two days?

PLEASE TELL FULL SOLUTION. ​

Answers

Answer:

5000

Step-by-step explanation:

Add the number of adults first: 27+23=50

Then multiply the number of adults by 100 for the fee.

50*100 = 5000

Answer:

within the two days a total of 5000$ where collected in the two days

Solution:

R= 100 per adult

1 adult = 100

27(R)+ 23(R) = 27(100)+ 23(100)

27(100)+23(100) =5000

or add both 27 and 23 and multiple by 100

50•100 = 5000

Identify an equation in point-slope from for the line perpendicular to y=-4x-1 that passes through (-2, 4)​

Answers

Answer:

y - 4 = ¼(x + 2)

Step-by-step explanation:

Point-slope form equation is given as y - b = m(x - a). Where,

(a, b) = a point on the line = (-2, 4)

m = slope = ¼ (sleep of the line perpendicular to y = -4x - 1 is the negative reciprocal of its slope value, -4 which is ¼)

✔️To write the equation, substitute (a, b) = (-2, 4), and m = ¼ into the point-slope equation, y - b = m(x - a).

y - 4 = ¼(x - (-2))

y - 4 = ¼(x + 2)

None of the options are correct

Using a weight of 12 for the most recent observation, 13 for the second most recent observation, and 16 for third most recent observation, compute a three-week weighted moving average for the time series. (Round your answers to two decimal places.)

Answers

Answer: Hi some data is missing attached below is the missing data

answer:

WMA = 174.53

Step-by-step explanation:

Determine the three-week weighted moving average with weights

( 1/2, 1/3, 1/6 )

Weighted moving average ( WMA ) = 174.53

MSE = ∑ (xi - WMA)^2 / n

        = 9.71

attached below is the detailed solution/table

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