Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.



29 i

29 i - 20

- 21 i

29

Answers

Answer 1
(2 - 5i) (2 + 5i) (i)
(4 + 10i - 10i -25) (i)
(4 - 25) (i)
-21i

Related Questions

Each week Samantha can pay as much $15 for her school at lunch. Write an inequality showing how much Samantha spends at lunch. I NEED HELP WITH THIS PLEASE!!!!!!!

Answers

Answer:

x ≤ 15 - weekly

x ≤ 3 - daily

Step-by-step explanation: sorry, not much info to answer this :(

A model robot uses the scale 1 inch : 2 feet. If the model robot was 5 inches tall, the real robot would be __ feet tall​

Answers

Answer: 10 feet

The ratios:

1 inch : 2 feet

5 inch : x feet

Finding x:

1 * 5 = 5

2 * 5 = 10

             The real robot would be 10 feet tall.

Answer:

10 inches

Step-by-step explanation:

because 1 in= 2 ft
we can multiply 5 by 2 which is 10

your answer is 10 ft tall.

NEED HELP!! THX! please answer part b, I already have part a.

Answers

Answer:

See below ~

Step-by-step explanation:

3.25% is the interest rate, meaning it won't be constant, but a coefficient of the function$15,000 is a constant as the interest gets added to it

The function can be written as :

aₙ₊₁ = 0.325aₙ + 15000

Please help with algebra

Answers

Answer:

54%

Step-by-step explanation:


Dakota deposited $500 in an account earning 10% interest compounded annually.
To the nearest cent, how much interest will she earn in 3 years?

Answers

Answer:

After 3 years, Dakota will have $674.09 total.

on a linear graph, the rate of change is called the ____ of a line

Answers

Answer:

On a linear graph, the rate of change is called the slope of a line

Step-by-step explanation:

Hope this helps

The complete statement is, on a linear graph, the rate of change is called the slope of a line.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

From the above concepts we now know that, on a linear graph, the rate of change is called the slope of a line.

It can also be defined as, (y₂ - y₁)/(x₂ - x₁).

learn more about lines and slopes here :

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Find the exact area of the shaded region.

Answers

Answer:

33

Step-by-step explanation:

area of large triangle = 117

117-(30)-(12*5/2)-(8*6/2)

= 33

The exact area of the shaded region is 33 units²

What is area?

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure.

Given is a figure, we need to find the area of the shaded region.

For finding the same, we will first find the area of the big triangle and then find the areas of the small parts in it having shape, triangle and a rectangle,

The area of the big triangle = 1/2 x 18 x 13 = 117 units²

The area of the two small triangles =

1/2 x 6 x 8 = 24 units²

and

1/2 x 12 x 5 = 30 units²

Now, the area of the square = 5 x 6 = 30 units²

The area of the shaded region = 117-(24+30+30) = 33 units²

Hence, the exact area of the shaded region is 33 units²

Learn more about areas, click;

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Please help, I don't understand. I wish you all good luck :)

Answers

Answer:

83.6

Step-by-step explanation:

just use your calculator

Answer:

83.6

Step-by-step explanation:

It's simple, just type it in the calculator and you'll get the answer

What inequality is graphed on the number line below?

Answers

Answer:

C) b ≤ 3

Step-by-step explanation:

The endpoint of the graph is the midpoint between 2 and 4, so it is 3.

This point is included since indicated as full circle.

The graph includes the line to the left of 3:

b ≤ 3 is the correct one

PLEASE HELP ANSWER
I will give 20 points

Answers

1) 9x^2 - 25
2) 36x^2 - 49
3) 16g^2 - 9
4) 81f^2 - 4

5) (10x - 1) (10x + 1)
6) (5k - 9) (5k + 9)
7) (8r - 7s) (8r + 7s)
8) (11 - 12x) (11 + 12x)

what is. the solution to this equation: 6r=33​

Answers

Answer:

5.5

Step-by-step explanation:

6 x 5.5 = 33

The solution for r is 5.5

Answer:

r = 5.5

Step-by-step explanation:

6r=33

1. divide both sides by 6

6/6=1

33/6= 5.5

2. r=5.5

The sum of two numbers are 21the second number is six times the first numberwhat are the two numbers

Answers

Answer:

3+18=21

Step-by-step explanation:

first see the second number

let us assume as x & y

3+ (3×6)= 21

3+18=21Step-by-step explanation:

Answer:

3+18

Step-by-step explanation:

3x6 is 18, so 18 is 6 times the first number. If you add 3 and 18, its equal to 21.

answeeeer plssssss..

Answers

ok well- what time do you need it to be answered by?

|x+1|+|x-2|=3

can someone give an easy explanation plssss

Answers

Answer:

The numbers inside |x| is always positive

Step-by-step explanation:

|x+1| --->  x+1
|x-2| --->  x+2
               = 3

Find value of a and b. ​

Answers

Answer:

a = 65

b = 65

Step-by-step explanation:

a = 65 becasue of corresponding angles.

a and b are opposite angles of a parallelogram.

b = a = 65

Answer:

a=65° b=65°

Step-by-step explanation:

from the diagram,

b=65° (alternative angles are equal)

a=65° (corresponding angles are equal)

The lifetime of a certain type of light bulb can be approximated by a normal distribution. The list

gives the number of days a bulb can last for 10 light bulbs selected at random. Find the mean and

standard deviation of the data set. Then sketch a normal curve to represent the distribution.

25, 24, 32, 16, 22, 34. 19. 27, 18, 29

Answers

The standard deviation of the dataset is the square root of the variance

The mean and the standard deviation of the dataset are 24.6 and  5.70, respectively

How to determine the mean?

The dataset is given as;

25, 24, 32, 16, 22, 34. 19. 27, 18, 29

Calculate the mean using:

μ = Sum/Count

So, we have:

μ = (25+ 24+ 32+ 16+ 22+ 34+ 19+ 27+ 18+ 29)/10

Evaluate

μ = 24.6

How to determine the standard deviation?

The standard deviation is then calculated using:

[tex]\sigma =\sqrt{ \frac{\sum(x - \mu)^2}{n}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{(25 - 24.6)^2 + .................. + (27- 24.6)^2 + (18- 24.6)^2 + (29- 24.6)^2}{10}}[/tex]

Evaluate

[tex]\sigma = \sqrt{32.44}[/tex]

Evaluate the square root

[tex]\sigma = 5.70[/tex]

Hence, the mean and the standard deviation of the dataset are 24.6 and  5.70, respectively

Read more about variance at:

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1. What is the of the combined rectangles below?​

Answers

Answer:

please where's the diagram

find side x using sine rule

Answers

Answer:

x = 10.76 cm

Step-by-step explanation:

[tex]\frac{7}{sin(40^{o} )} =\frac{x}{sin(81^{o} )}[/tex]

[tex]x=\frac{7sin(81^{0}) }{sin(40^{o} )} =10.76cm[/tex]

Hope this helps

Write a second equation for the system so it has infinitely many solutions.

Write a second equation whose graph goes through (0,2) so that the system has no solutions.

Write a second equation whose graph goes through (2,2) so that the system has one solution at (4,3).

Answers

Answer:

See below ↓

Step-by-step explanation:

Our equation :

y = 3/2x - 3

(A) Infinitely Many Solutions

y = 3/2x - 3The slope and y-intercept have to be equal in order for it to have infinitely many solutions

(B) No solution

y = 3/2x + 1The slope has to be equal and the y-intercept has to be different in order for it to have no solution

(C) One solution at (4, 3)

x has to equal 4y = 3/2x - 3 and y = 2x - 1In both of these equations, (4, 3) is a solution

For each ordered pair determine whether it is a solution to Y= -8

Ordered pairs:
(-8,2)
(1,9)
(4,-8)
(0,-3)

Answers

Answer:

(4,-8) is the only correct solution because it is the only one to have a Y value of -8

A small class has 10 students, 5 of whom are girls and 5 of whom are boys. The teacher is going to choose two of the students at random. What is the
probability that the first student chosen will be a girl and the second will be a boy? Write your answer as a fraction in simplest form?

Answers

Answer:

the chances are most likely going to be 50/50

Step-by-step explanation:

50

50

Answer: 1/5

Step-by-step explanation:

Please help with this and how to solve it.

Answers

Answer:

angle HMS = 62 degrees

x = 13 degrees

AT = 28

Step-by-step explanation:

angle SHM and angle HMS are both inside the triangle SMH.

We want to find the angle of HMS. We know that the sum of the angles in the triangle adds up to 180 degrees. There are two angles that we already know.

Angle SHM = 28 (given)

Angle HSM = 90 (because it is a right angle which is always 90 degrees, right angles are formed at two perpendicular lines)

Angle HMS = x (we let angle HMS be a variable as we don't know the value for it)

x + 90 + 28 = 180

x = 62 ddegrees

HMS is 62 degrees

TSA is a right angle in triangle AST because it is formed by two perpendicular lines. Right angles always equal 90 degrees.

10x - 40 = 90

10x = 130

x = 13 degrees

AT and HT are both congruent sides. We know this because the figure we are given is a kite. In a kite, we have two pairs of sides that are congruent to each other.  HT is congruent to AT while HM is congruent to AM.

So,

8x - 4 = 2x + 20

Subtraact 2 x from both sides

6x - 4 = 20

Add 4 to both sides

6x = 24

Divide 6 on both sides.

x = 4

Plug x back to AT.

AT = 2(4) + 20 = 28

Which of the following are prime factors of both 24 and 42? Select all that apply.

Answers

Answer:

2 and 3

Step-by-step explanation:

So, 24=2x2x2x3

42=2x3x7

3 and 2

Answer:

2 and 3

Step-by-step explanation:

prime factors for 42: 2, 3, and 7

prime factors for 24: 2,2,2 and 3

Kendrick wants to write the number .000065 in scientific notation. What exponent should he use for the power of 10?

Answers

the exponent should -5 because the decimal was moved to the right 5 spaces.

50 = 3x+14 solve for x

Answers

First subtract 14 from both sides and that leaves us with 36=3x. Now we do 36 divided by 3 and that gives us x which is 12

X=12

(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here's the solution :

[tex]\qquad \sf  \dashrightarrow \:(2 {x}^{2} + 5x - 7) + (3 - 4 {x}^{2} + 6x)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2{x}^{2} + 5x - 7 + 3 - 4 {x}^{2} + 6x[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 {x}^{2} - 4 {x}^{2} + 5x + 6x - 7 + 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 2 {x}^{2} + 11x - 4[/tex]

how many degrees is 17/9 of a semicircle

Answers

Answer:

340°

Step-by-step explanation:

To convert radians to degrees, multiply by [tex]\frac{180}{\pi }[/tex] since a full circle is 360° or

2[tex]\pi[/tex] radians.

[tex](\frac{17}{\pi } )[/tex] x [tex]\frac{180}{\pi }[/tex]

Factor [tex]\pi[/tex] out 0f 17[tex]\pi[/tex]

[tex]\frac{\pi (17)}{9}[/tex] x [tex]\frac{180}{\pi }[/tex]

Cancel the common factor "[tex]\pi[/tex]"

Rewrite the expression as:

[tex]\frac{17}{9}[/tex] x 180

Factor 9 out of 180.

[tex]\frac{17}{9}[/tex] x(9(20))

Cancel out the common factor "9"

Rewrite the expression as:

17 x 20

=340°

The list of all ordered pairs in the given relation R on the set T is (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), _____, (4, 4), (5, 5), and (6, 6).

Answers

Answer:

1,1. 4,4. 5,5 and. 6,6

Step-by-step explanation:

Because they are all the same numbers :)

2. How many lines of symmetry does this shape have?

Answers

Answer:

it has three lines of symmetry

Step-by-step explanation:

Answer:

one line of symmetry

Step-by-step explanation:

PLS HELP ASAP FIRST CORRECT ANSWER GETS BRAINLIEST​

Answers

Using Pythagorean, a^2 + b^2 = c^2
16 +x^2 = 36.69
Then subtract the 16 from 36.69, which is 23.69
And finally take the square root of that, giving you 4.87
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