4. If (3 + bi) + (7 – 2i) = 10 + 6i, find the value of b.

Answers

Answer 1

Answer:

b = 8

Step-by-step explanation:

The real part of the givens add correctly.

bi - 2i = 6i         Add 2i to both sides.

bi = 6i + 2i

bi = 8i               The i's will cancel

b = 8


Related Questions

SOMEONE PLZZ HELP, I HAVE A TEST AND DONT KNOW HOW TO DO THIS!!

Answers

I believe it is C.
Good luck!

brainliest for answer

Answers

Answer:

b=2f+6

b=2*9+6

b=18+6

b=24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

2 x 9 + 6 = 24

Please help me!!!!


Ernest bought some cans of paint and 4/5 of a liter of special paint additive formulated to reduce mildew. Before painting his house, he used all of the additive to put 2/5 of a liter of additive in each can. How many cans of paint did Ernest buy?

Answers

Answer:

He bought 2 cans of paint

Step-by-step explanation:

If he put ⅖ in each, and ⅘ total, he would have had 2 cans

Quantity of special paint additive Ernest bought = [tex] \tt \frac{4}{5} \: of \: a \: litre [/tex]

Quantity of additive he put in each can = [tex] \tt \frac{2}{5} \: of \: a \: litre [/tex]

Number of cans of paint he bought :

[tex] =\tt \frac{4}{5} \div \frac{2}{5} [/tex]

[tex] = \tt\frac{4}{5} \times \frac{5}{2} [/tex]

[tex] = \tt\frac{4 \times 5}{5 \times 2} [/tex]

[tex] =\tt \frac{20}{10} [/tex]

[tex]\color{plum} = \tt2 \: paint \: cans[/tex]

▪︎Therefore, Ernest bought 2 paint cans.

What kind of sequence is this?
161, 161, 161, 161, ...
arithmetic
geometric
both
neither

Answers

Answer:

arithmetic sequence

is my answer

what is the equivalent property of 8(4x - 3)

Answers

Answer:

=32x−24

Step-by-step explanation:

Write formula for the following mathematical statement.
The force acting on a body is equal to the product of the mass of the body and the acceleration produced by it

Answers

Answer:

F=ma

Step-by-step explanation:

F is force and its measured in Newtons (N)

m is mass measured in kg

a is acceleration measured in metres per second per second

Sonya makes a pattern of values for x and a pattern of values for y. Which
ordered pair continues the patterns and has an x-value of 6?

Answers

Answer: (6, 9)

Step-by-step explanation:

We have the pairs:

x   y

0  0

2   3

4   6

These can be written as points (0, 0), (2, 3) and (4, 6)

This seems to be a linear relationship:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In the cases where the point (0, 0) belongs to the graph, we have a proportional relationship, which is written as:

y = k*x

In this case we have that point, then this is a proportional relationship.

Now we could just replace the values of one of the points (not the (0,0) point) in the equation in order to find the value of x.

If we use the point (2, 3) we get:

y = 3

x = 2

then:

3 = k*2

3/2 = k

Then the relationship is:

y = (3/2)*x

Now we want to know the ordered pair such that x = 6, then we just eed to replace x by 6 in the above equation:

y = (3/2)*6 = 9

Then we have x = 6 and y = 9

The correct option is (6, 9)

Forty families gathered for a fund-raising event. Suppose the individual contribution for each family is normally distributed with a mean and a standard deviation of $120 and $24, respectively. The organizers would call this event a success if the total contributions exceed $5,200. What is the probability that this fund-raising event is a success?

Answers

Answer:

3.51% probability that this fund-raising event is a success

Step-by-step explanation:

In a set with mean  and standard deviation , the zscore of a measure X is given by:

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.

3.51% possibility (20 characters aaa)

graph the line that passes through the point (5,3) and (5,1) and determine the equation of the line

Answers

Answer:

Step-by-step explanation:

There is no change in x-coordinate. The line is parallel to y-axis.

Equation of line : x = 5

3/4 x 25 please bro and i need to make this longerrrr

Answers

Answer:

18.75

Step-by-step explanation:

18.75

2. Two boxes are being shipped at a facility. One
box weighs 25.09 pounds, and the other box
weighs 25.018. Which box weighs more? Explain
and prove your answer.

Answers

Answer:

i think 25.09 weighs more

Step-by-step explanation: well simply 25.018 has more decimal places down therefore making it a smaller number

sorry if you get it wrong :c

3. Technology required. Gateway Arch in St. Louis, Missouri, is 630 feet tall. Priya can look

up at a 50 degree angle to see the top of the arch. How far away from the base of the

arch is she standing?

Answers

Tan(50°) = 630/x
x = 630/tan(50°) = 528 ft

Priya is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.

What is trigonometry?

In the field of mathematics known as trigonometry, correlations between angles and length ratios are studied. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given parameters:

Height of the Gateway Arch in St. Missouri = 630 feet.

Priya have to look up at a 50° angle to see the top of the arch.

Now from definition of tanθ in trigonometry:

tan50° = height of the Gateway Arch in St. Missouri ÷ distance of Gateway Arch in St. Missouri

hence, distance of Gateway Arch in St. Missouri = height of Gateway Arch in St. Missouri ÷  tan50°

= 630 feet  ÷  tan50°

= 528.63 feet.

Hence, she is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.

Learn more about trigonometry here:

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Help quick plzzzzz Plzzzzzzzzzzzzz

Answers

12873t456473892220-209873

15+5=20? I think hope it helps

Find the radius of the circle. The center of the circle is (2, -3) and a point that lies on the circle is (-1, -2).

Answers

Answer:

[tex]\displaystyle r = \sqrt{10}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Geometry

Definition of a radius - the center of a circle to any point to the circumference

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Center (2, -3) → x₁ = 2, y₁ = -3

Circumference point (-1, -2) → x₂ = -1, y₂ = -2

In this case, the distance d from the center to the circumference point would be the radius r of the circle.

Step 2: Find Radius r

[Distance Formula] Define equation [Radius]:                                               [tex]\displaystyle r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Substitute in points [Radius]:                                                                         [tex]\displaystyle r = \sqrt{(-1-2)^2+(-2--3)^2}[/tex][Radius] [√Radical] (Parenthesis) Simplify:                                                     [tex]\displaystyle r = \sqrt{(-1-2)^2+(-2+3)^2}[/tex][Radius] [√Radical] (Parenthesis) Subtract/Add:                                           [tex]\displaystyle r = \sqrt{(-3)^2+(1)^2}[/tex][Radius] [√Radical] Evaluate exponents:                                                       [tex]\displaystyle r = \sqrt{9+1}[/tex][Radius] [√Radical] Add:                                                                                 [tex]\displaystyle r = \sqrt{10}[/tex]

Reflect a figure with vertices A(1,2) B (3,6), C(-1,2), and D(-2,-2)
across the x-axis. Find the coordinates of the new image.

A) C(-1,2) --> C' (-1,-2)
B) B(3,6) --> B' (3,-6)
C) A(1,2) --> A' (1,-2)
D) D(-2,-2)--> D' (-2,2)

Answers

Answer:

1,2 = 1,negative2

3,6 = 3,negative 6

-1,2 = negative 1, negative 2

-2,-2 = negative2, 2

Step-by-step explanation:

Sorry all i could do was reflect the coordinates across the x-axis.

The figure reflected along x-axis will have vertices A(1, -2), B (3, -6), C(-1, -2), and D(-2, 2).

What is reflection along the x-axis?

When we reflect a figure along the x-axis the coordinate point of y changes its sign, (x, y) becomes (x, - y).

Think of holding the x-axis with two fingers and rotating it.

Given, we reflect a figure with vertices A(1,2) B (3,6), C(-1,2), and D(-2,-2)

across the x-axis.

∴ The rotated coordinate will be A(1, -2), B (3, -6), C(-1, -2), and D(-2, 2).

learn more about translation here :

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What is the Unknown number in proportion

Answers

Answer:

8*7/4=7x

56/4=7x

14=7x

x=2

Step-by-step explanation:

what unfortunate mistake did the champion ice skater make with his gold medal

Answers

Answer:

He Had It Bronzed

Step-by-step explanation:

Hope this help pls mark as brainlest!!

A 90-foot wire runs from the top of a cell phone tower to the ground 63 feet from the base of the tower. approximately how tall is the cell phone tower?

Answers

Answer:

Step-by-step explanation:

Height = √(90^2-63^2) = √4131 ≈ 64 ft

please help !!!! The leg of a right triangle is 2 units and the hypotenuse is 5 units. What is the length, in units, of the other leg of the triangle?
3

Square root of 29

Square root of 21

7

Answers

Answer:

[tex]\sqrt{21}[/tex]

Step-by-step explanation:

Use the pythagorean theoreom, a^2+b^2=c^2.

We know the hypontenuse and one of the sdes

a^2+2^2=5^2

a^2+4=25

subract four from both sides to isolate variable

a^2=21

square root both sides and you have the answer of sq root 21!

Edit: the answer for your next question is the last one b/c it satisfies the Pythagorean Theorem

I’ll give you 15 points if you know the answers to this question


Answers

It would be B)no.

Hope This Helps!

What is the measure of angle x?

A right angle is shown divided into two parts. The measure of one part of the right angle is 30 degrees. The measure of the other part is 3x.

10
20
30
40

Answers

Step-by-step explanation:

Right angle=90°

90-30= 3x

3x=60

x=20

Write the recursive and explicit formula for 10, 30, 90, 270...

Answers

you multiply the previous term by 3 each time

Answer:

Multiply by 3 each time

After 270 youll get 810 because i multiplied 270 by 3

The formula is  3 . 10 right? Correct me if im wrong.

PLEASE HELP! WILL GIVE YOU BRAINLEST
Alana is riding a Ferris Wheel with Brianna and either Lindsay, Emily, or Janelle.
Lindsay is at the movies.
Emily does not like caramel apples.
Janelle is afraid of heights and won't go on rides over 15 feet high.
.
.
Who is the third person riding the Ferris Wheel?
third person =

Answers

Answer:

Emily because Lindsay is at the movies so she can't ride the Ferris Wheel. Janelle is too afraid to go that high. Emily only doesn't like caramel apples so she can still go on the Ferris Wheel.

Answer:

Emily

Step-by-step explanation:

The third person riding on the ferris wheel is Emily. why? well Lindsey is at the movies so she can't be at the carnival riding the ferris weel, Janelle is afraid of heights so their is no way she would ride the ferris wheel, but Emily just doesn't like Carmel apples which would not stop her from riding the ferris wheel.

what is 16 to the power of a half

Answers

Answer:

4

Step-by-step explanation:

At a deli, Joe bought 2.2 pounds of coleslaw for $7.15. What was the unit price?

Answers

Answer:

$3.25 for 1 pound of coleslaw

Step-by-step explanation:

i think,.

A container has 360 gallons ; daniel took 1/3 of water to give to the animals in the ranch; how many gallons of water are left? I NEED IT TO BE EXPLAINED AND I WILL MAKE YOU THE BRAINLIEST

Answers

Answer: 240 gallons

Step-by-step explanation:

From the question, we are informed that the container has 360 gallons and that Daniel took 1/3 of water to give to the animals in the ranch. Therefore, the amount of water that Daniel took will be:

= 1/3 × 360

= 120 gallons

Since we have 360 gallons at the beginning and Daniel has taken 120 gallons, the amount of gallons that'll be left will be:

= 360 - 120

= 240 gallons

sophie uses 18 beads to make a neckalace , 3/6 of the beads are purple

Answers

Answer:

9 beads are purple

Step-by-step explanation:

we know that

To find out how many  beads are purple, multiply the total beads by the fraction of the beads that are purple

so

therefore

9 beads are purple

Another way to solve the problem is convert the fraction in percentage

we have

so

If the total are 18 beads

50% is 9 beads

therefore

9 beads are purple

5 x 1 3/45 * 1 3/4
What is the answer?​

Answers

Hopes this helps:

Answer: 9 1/3

Help ? PLEASE HURRY !

Answers

Answer:

Step-by-step explanation:

Sine of U = 8/17

opposite /hypotensue

Select the correct answer.
For which function is f(x) equal to f-1(x)?
A. F(x)=x+6/x-6\

B. F(x)= x+2/x-2

C. f(x) = x+1/x-1

D. f(x) = x+5/x-5

Answers

Answer: D

Step-by-step explanation: They are greater than the lengths of the sides of the base.

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