Simplify: (1 + 3i) + (7 - 2i)

Answers

Answer 1

Answer:

8+i

Step-by-step explanation:

Answer 2

Answer:

8 + 1 i

if im wrong soooooorrrrrrryyyyyy

Step-by-step explanation:


Related Questions

Vito is a pitcher on his baseball team. This season he has allowed an average of 0.8 hits per inning pitched. If Vito pitcher 160 innings this season how many hits did he allow?

Answers

Answer:

200

Step-by-step explanation:

.8x = 160

A rectangular flower garden in Samantha's backyard has 100 feet around its edge. The width of the garden is 20 feet.
What is the length of the garden?

Answers

Answer:

Step-by-step explanation:

Total= 100 Ft

Width= 20

Length=?

Total - Width = Length

100 - 20 =

80 Length Of the Garden

help plz will mark brainliest :)​

Answers

Answer:

c

Step-by-step explanation:

subtract b from both sides

divide by x

c2-3c-10c2+5c-14c2-c-2c2-15​

Answers

Answer:

-13c4 - c3 - 15c2 - 12

 ——————————————————————

           c2        

If the linear model applies the function f(x) = 1.3x + 9.2, what is the predicted value and residual
when the tree is 3 years old with a height of 14?

A) Predicted value: 13.1
Residual: 0.9
B) Predicted value: 11.8 Residual: 0.2
C) Predicted value: 15.7 Residual: 1.3
D) Predicted value: 18.3 Residual: 0.7

Answers

Answer:

A) Predicted value: 13.1   Residual: 0.9

Step-by-step explanation:

By definition:

residual = observed - predicted

The linear model is:

f(x) = 1.3x + 9.2

where f(x) is the height and x is the age of the tree.

Replacing with x = 3:

f(x) = 1.3(3) + 9.2 = 13.1 ft

which is the predicted value. The observed value is 14 ft, then:

residual = 14 - 13.1 = 0.9 ft

Mr. Morris asked Rob to shovel the snow from his driveway every day that it snowed during the month of January. He agreed to pay Rob $0.01 for the first day, $0.02 for the second day, $0.04 for the third day, $0.08 for the fourth day, and so on. If it snowed for 13 days in January, how much would Mr. Morris pay Rob on the 13th day?

Do not answer if you do not know. Only good answers with explanations.

Answers

Answer:

Total amount to be paid on 13th day is $40.96.

Step-by-step explanation:

Mr. Morris pays Rob $0.01, $0.02, $0.04 ..... on 1st, 2nd , 3rd .... day respectively.

We can clearly see that the next number is becoming double of the previous value.

The above sequence of numbers are in a Geometric Progression with  

First term, a = 0.01 and

Common ratio, r = 2

We have to find the total amount paid on 13th day.

We know that the [tex]n^{th}[/tex] term of a GP is given by:

[tex]a_{n} =ar^{n-1}[/tex]

Where, a is the first term of GP

r is the common ratio

We have to find the [tex]13^{th}[/tex] term of the GP as per question statement.

Putting the values in the formula above:

n = 13

a = 0.01 and

r = 2  

[tex]a_{13} = 0.01 \times 2^{13-1}\\\Rightarrow 0.01 \times 2^{12} \\\Rightarrow 0.01 \times 4096\\\Rightarrow 40.96[/tex]

Total amount to be paid on 13th day is $40.96.

How many combinations of 6 students can a teacher choose from 30 students?
657,720
593,775
180
427,518,000

Answers

Answer: 593775

Step-by-step explanation: 30C6 =30x29x28x27x26x25 / 6x5x4x3x2x1 =593775

05.01 MC)
What is the equation in point-slope form of the line passing through (0, 5) and (−2, 11)? (5 points)

Question 4 options:

1)

y − 5 = −3(x + 2)

2)

y − 5 = 3(x + 2)

3)

y − 11 = −3(x − 2)

4)

y − 11 = −3(x + 2)

Answers

the answer is number 2)


A garden table and a bench cost $910 combined. The garden table costs $60 more than the bench. What is the cost of the
bench?

Answers

Answer:

You could subtract 910 from 60 which would give you 850 and that would be your answer.

Step-by-step explanation:

Answer: $850

Step-by-step explanation: take 910 - 60

If a wiggling string has a natural frequency of 34.5 Hz to produce 4 harmonics, what is the period of the string?

Answers

Answer:

[tex] T = \frac{1}{f}[/tex]

And replacing we got:

[tex] T = \frac{1}{34.5 Hz}= 0.0290 s[/tex]

And then we can conclude that with the conditions given the period of the string would be 0.0290 s

Step-by-step explanation:

For this case we know the frequency associated to the 4 harmonic.

We know that by definition the frequency is the inverse of the period:

[tex] f= \frac{1}{T}[/tex]

If we solve for the period we got:

[tex] T = \frac{1}{f}[/tex]

And replacing we got:

[tex] T = \frac{1}{34.5 Hz}= 0.0290 s[/tex]

And then we can conclude that with the conditions given the period of the string would be 0.0290 s

Another angle math problem. I just don’t get it ‍♀️ Help please.

Answers

I think 22 degrees not sure sorry

Answer:

68°

Step-by-step explanation:

Complementary = 90 - 22

each Stone in Ali's collection weighs about 4 oz her collection way about 24 lb in all how many stones are in Ali's collection​

Answers

Answer:

The answer is 96

Step-by-step explanation:

4 oz = 0.25 lb so 0.25*24 = 96

Find the area of the shape shown below.

Answers

Answer:

42

Step-by-step explanation:

12+(5(12))/3

42

Answer:

42

Step-by-step explanation:

[tex]A = \frac{a+b}{2} h[/tex]

[tex]A = \frac{1+6}{2} 12[/tex]

[tex]A = \frac{7}{2}12[/tex]

[tex]A=7*6[/tex]

[tex]A = 42[/tex]

need answer as soon as possible

Answers

Answer:

I think it would be 65 degrees

Step-by-step explanation:

If the side of Line q and line k is 115 degrees and its the same for line m and line k, then all you have to do is take 180 and subtract 115 from it to get the other side of the angle.

9) A cooler contains eight bottles of sports
drink: four lemon-lime flavored and four
orange flavored. You randomly grab a
bottle and give it to your friend. Then,
you randomly grab a bottle for yourself.
You and your friend both get lemon-lime.
Are the events independent or dependent?
What is the probability?

Answers

Answer:

dependent. 2/8=1/4

Step-by-step explanation:

asapppp

What is the lateral area of the rectangular prism
shown below?
a. 128 ft2
b. 135 ft2
c. 238 ft2
d. 504 ft2

Answers

i believe you multiple all three together and you get d. 504

Find the area of the shape shown below.

Answers

Answer:

44.5

Step-by-step explanation:

(1 x 12) + (5 x 13)/2 = 44.5

Answer: 44,5 cm2

Step-by-step explanation:

Rektangel:

1 × 12 = 12 cm2

triangel:

13 × 5 = 65 cm2

78 ÷ 2 = 32,5 cm2

Area:

32,5 + 12 = 44,5 cm2

I will give you all five stars ⭐⭐⭐⭐⭐

Answers

Answer:

omg really;O

Step-by-step explanation:

Makayla has 90 minutes to answer 36 questions on a school survey. How many minutes per
question does she have?

Answers

Answer:

Makayla has 2 and a half minutes to answer each question.

Step-by-step explanation:

To get two and half you will have to divide 90 from 36 then you get 2 and a half minutes. hope this helps =D

By  using division as mathematical operation,

Makayla need 2 and half minutes to answer each question

What is division?

"The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication. In simple words, division can be defined as the splitting of a large group into smaller groups such that every group will have an equal number of items. It is an operation used for equal grouping and equal sharing in mathematics."

We have

Number of minutes to answer 36 questions = 90

We have to divide 90 by 36

= [tex]\frac{90}{36}[/tex]

= 2.5 minutes

Hence, By  using division as mathematical operation, Makayla need

2 and half minutes to answer each question.

Learn more about division here

https://brainly.in/question/5910014

#SPJ2

a) From where Jacob and his family have set up camp to the base of the mountain is 2,000 feet.
The angle of elevation formed from the campsite to the top of the mountain is 54. How tall
is the mountain?
b)
Jacob and his dad end up hiking up to the top. If the base of the mountain is 2.600 feet wide,
what is the total distance that Jacob and his dad hiked from their campsite to the top of the
mountain?
c)
From the top of the mountain, Jacob sees a building at an angle of depression of 24 to the
bottom of the building. How far away from the campsite is the building?

Answers

Answer:

A.) 2752.8 feet

B.) 5044.3 feet

C.) 6182.9 feet

Step-by-step explanation:

A.) Given that the camp to the base of the mountain is 2,000 feet. And the angle of elevation is 54 degrees

Using SohCahToa, to calculate the height

Tan 54 = height/2000

Height = 2000 tan54 = 2752.8 feet

B.) Given that the base of the mountain is 2600 feet wide.

Let use pythagorean theorem to find the slant length

Adjacent = 2600/2 = 1300 feet

Slant length = root ( 1300^2 + 2752.8^2)

Slant length = 3044.3 feet

The total distance that Jacob and his dad hiked from their campsite to the top of the mountain will be

3044.3 + 2000 = 5044.3 feet

C.) Given that the angle of depression is 24 degrees while the height is 2752.8 feet

Using pythagorean theorem again

Tan 24 = 2752.8/distance

Distance = 2752.8/tan24

Distance = 6182.9 feet

The height of the mountain for the following conditions are as follows:

A.) 2752.8 feet

B.) 5044.3 feet

C.) 6182.9 feet

What is Angle of Elevation?

The angle of elevation is an angle that is formed between the horizontal line and the line of sight.

A.) Given that the camp to the base of the mountain is 2,000 feet. And the angle of elevation is 54⁰

To calculate the height

Tan 54⁰ = height/2000

Height = 2000 X tan54⁰ = 2752.8 feet

B.) Given that the base of the mountain is 2600 feet wide.

Let use pythagorean theorem to find the slant length

Adjacent = 2600/2 = 1300 feet

Slant length = √ ( 1300^2 + 2752.8^2)

Slant length = 3044.3 feet

The total distance that Jacob and his dad hiked from their campsite to the top of the mountain will be

3044.3 + 2000 = 5044.3 feet

C.) Given that the angle of depression is 24⁰ while the height is 2752.8 feet

Using Pythagorean theorem again

Tan 24⁰ = 2752.8/distance

Distance = 2752.8/tan24⁰

Distance = 6182.9 feet

Thus, the height of the mountain for the following conditions are as follows:

A.) 2752.8 feet

B.) 5044.3 feet

C.) 6182.9 feet

Learn more about Angle of Elevation from:

https://brainly.com/question/16716174

#SPJ5

Find the measure of x.
15(x+2)
X=-1
x = 7
X = 9
x=13

Answers

Answer:

x=7

Step-by-step explanation:

7+2 = 9. 9*15 = 135 degrees

The answer is x=7. 135=15(x+2). Then you’ll get 135=15x+30. You subtract 30 from each side leaving 105=15x. To get x by itself, you then divide 15 on both sides, making the answer x=7.

Find the area of the kite.
56 mm 2
40 mm 2
30 mm 2
80 mm 2

Answers

Answer:

30 mm 2

Step-by-step explanation:

The answer is 40 mm 2

What is the length of AR if the radius of the circle is 6 cm?

Answers

Step-by-step explanation:

[tex]arc \: length \: = \frac{theta}{360} \times 2\pi \: r \\ here \: theta \: = 105 \: degrees \: \: \: \: and \\ radius \: = 6 \: cm \\ on \: substituting \: the \: values \: in \: formula \\ = \frac{105}{360} \times 2\pi \: \times 6 \\ = \frac{105}{360} \times 12\pi \\ = \frac{105}{30} \times \pi \\ = 3.5 \times \pi \\ = 3.5 \times 3.14 \\ = 10.99 \\ arc \: length \: = 11.0 \: \: (approximately)[/tex]

What are the solutions of 3x2 - x + 7 = 0?

Answers

Answer:

x =(1-√-83)/6=(1-i√ 83 )/6= 0.1667-1.5184

x =(1+√-83)/6=(1+i√ 83 )/6= 0.1667+1.5184

Step-by-step explanation:

3x2-x+7=0  

Two solutions were found :

x =(1-√-83)/6=(1-i√ 83 )/6= 0.1667-1.5184i

x =(1+√-83)/6=(1+i√ 83 )/6= 0.1667+1.5184i

PLEASE HELP!!! will give brainliest

Answers

-0.25 is ur answer :)

When Lori was born she weighed 7 1/2 pounds. There
are 16 ounces in every pound. What was Lori's weight
in ounces? Solve this problem any way you choose.​

Answers

Answer:

Lori weight in ounces is 120

Step-by-step explanation:

(7 x 16)+ (1/2 x 16) = 120

you need to pay 8% tax on a car that costs $12,00. what will you end up paying in total?

Answers

Answer:

12960

Step-by-step explanation:

12,000 × .08 = 960

12,000 + 960 = 12,960

You multiply 12,000 by 0.8 and you get 960
Then you do 12000 plus 960 and then you get your answer

How to solve this equation and check it. a - 2.5 = 4.5?

Answers

Answer:

Step-by-step explanation:

a - 2.5 = 4.5

     2.5 = 2.5

a = 7.0 or 7

7.0 - 2.5 = 4.5

4.5 = 4.5

SOLVED
its 160

The table shows the number of mobile cellular subscriptions per 100 people in Australia for different years.

Year | Cellular subscriptions / 100 people

1993 | 4 12 25 33 57 72 90 101 101 108

1995 | 12

1997 | 25

1999 | 33

2001 | 57

2003 | 72

2005 | 90

2007 | 101

2009 | 101

2011 | 108

The quadratic regression equation using the years since 1990 for the input variable and the number of cellular subscriptions for the output variable is y=−0.107x^2+9.008x−28.851

What is the predicted number of cellular subscriptions per 100 people in Australia in 2030?

Round your answer to the nearest whole number. Enter your answer in the box.
Nvm its 160

Answers

Answer:

160

Step-by-step explanation:

x represents the years since 1990, so at 2030, x =  2030 - 1990 = 40. Replacing this value into the quadratic regression equation, we get:

y = -0.107(40)^2 + 9.008(40) - 28.851 = 160

which is the predicted number of cellular subscriptions per 100 people in Australia in 2030

Which 2 numbers have a least common multiple of 36?


Answers

Answer:

9 and 12,

Step-by-step explanation:

Answer:

nine and twelve (A)

Step-by-step explanation:

The Least Common Multiple of six and fifteen is thirty and the LCM of eight and eighteen is 72, this leaves only A which is correct.

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