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

Find 7/12 of 36

I want a good answer!!!

Answers

Answer:

option a 21 is the right answer

Step-by-step explanation:

7/12.36

12 into 3 is 36

so 12 1's are and 12 3's are

now it'll become 7 into 3

which is 21

therefore 21 is the answer

PLEASE HELP ME if m<2 =38° , then what is m<1?

Answers

Answer:

Answer is 142 hope it helps

What is the equation of the line going through the points (2, 4) and (4, 12)

Answers

Answer:

m= 4

b= -12

( 4, -12)

Step-by-step explanation:

m= y2- y1/ x2-x1

m= 12 - 4/ 4 - 2

m= 8/ 2

m= 4

y= 4x + b

(2,4)

4= 4(4) + b

4= 16 + b

-16+4= b

-12= b

b= -12

carmen is taller than ramon but shorter than ricardo. carmen is shorter than ryan who is taller than ricardo. who is the tallest? who is the shortest?

Answers

Answer:

ramon is the shortest

ryan is the tallest

carmen is taller than ramon

carmen is shorter than ricardo

carmen is shorter than ryan

ryan is taller than ricardo

Which subject is used most heavily in game design?
a.
Science
c.
Social studies
b.
Language arts
d.
Math

Answers

Answer:

nose

Step-by-step explanation:

perdno

Answer:

Language arts

Step-by-step explanation:

Make P the subject of the formula
pliz pliz ans this​
A= P(1+(r/100))^t

Answers

Answer:

P = A / (1 + r/100)ᵗ

Step-by-step explanation:

A = P(1 + r/100)ᵗ

We can make P the subject of the above expression as follow:

A = P(1 + r/100)ᵗ

Divide both side by (1 + r/100)ᵗ

P = A / (1 + r/100)ᵗ

Therefore, making P the subject of

A = P(1 + r/100)ᵗ, we have

P = A / (1 + r/100)ᵗ

The function d = 16t2 models the distance d, in feet, that an object falls in t seconds. Find the inverse function and use the inverse function

o estimate the time it takes an object to fall 100 feet. (1 point)

Answers

Answer:

[tex]t = \frac{1}{4}\sqrt d[/tex]

Time to reach 100ft is 2.5 seconds

Step-by-step explanation:

Given

[tex]d = 16t^2[/tex]

Solving (a): Determine the inverse function

[tex]d = 16t^2[/tex]

Swap the positions of d and t

[tex]t = 16d^2[/tex]

Make d the subject

[tex]\frac{t}{16} = d^2[/tex]

Take positive square root of both sides

[tex]\sqrt{\frac{t}{16}} = d[/tex]

[tex]d = \sqrt{\frac{t}{16}}[/tex]

[tex]d = \frac{1}{4}\sqrt t[/tex]

Swap the positions of d and t

[tex]t = \frac{1}{4}\sqrt d[/tex] --- The inverse function

Solving (b): Find t when d =100

Substitute 100 for d in [tex]t = \frac{1}{4}\sqrt d[/tex]

[tex]t = \frac{1}{4}\sqrt {100[/tex]

[tex]t = \frac{1}{4}* 10[/tex]

[tex]t = \frac{1* 10}{4}[/tex]

[tex]t = \frac{10}{4}[/tex]

[tex]t = 2.5[/tex]

find the graph below, find the slope of the line. Write your answer as a decimal.

Answers

(0,2) and (4,0) are points on the line.
Slope = (0-2)/(4-0) =-½

What are the coordinates of the image if this pre-image is reflected over the y axis?

Answers

Answer:

A (2, 4)

B (-6, 4)

C (-6, 2)

D (2, 2)

Step-by-step explanation:

If it is being reflecting across the y-axis, the rule is this:

(x, y) ---> (-x, y)

So...

A (-2, 4) ---> (2, 4)

B (6, 4) ---> (-6, 4)

C (6, 2) ---> (-6, 2)

D (-2, 2) ---> (2, 2)

3×(3+12÷3)−4 Can someone please answer this?

Answers

Answer:

first is 12÷3=4 .....second is 3+4=7 .......third is 3×7=21.............fourth is 21-4=17

Step-by-step explanation:

hope this help

Sam invested $7500, some at 7% interest and the rest at 10%. How much did he invest at each rate if he received $570.00 in interest in one year?

Answers

Answer:

.

Step-by-step explanation:

1over 4 power negative 5

Answers

Answer:

4 to the 5th power (4^5)


Anne Deno invests $6,500 in a 1-year certificate of deposit that earns interest at an annual rate of 3.25
percent compounded daily. The amount per $1.00 is 1.033032. How much interest will she earn at the end
one year?

Answers

Answer:

big 18

Step-by-step explanation:

Mariana jogged 1/2 of a mile to get from school to the park. Then she jogged 3/10 of of mile to get to the store.
What is the total number of miles Mariana jogged

Answers

Answer:

Okay, I think the easiest way to approach this problem is to first convert the mixed fractions to irregular fractions:

8

1

8

=

8

8

+

1

8

=

65

8

7

2

5

=

7

5

+

2

5

=

37

5

We want the total number of miles, so our equation is:

distance=

65

8

+

37

5

The LCD of 5 and 8 is 5*8=40, so:

distance=

325

40

+

296

40

distance=

621

40

=

15

21

40

miles.

Hope this helps!

Step-by-step explanation:

4(2x - y) - 3x + 2y

Answers

Answer:

5x - 2y

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

4(2x - y) - 3x + 2y

Step 2: Simplify

Distribute 4:                                                                                                    8x - 4y - 3x + 2yCombine like terms (x):                                                                                  5x - 4y + 2yCombine like terms (y):                                                                                  5x - 2y
The answer is 5x-2y 1. 4(2x-y) -3x+2y 2. 8x-4y-3x+2y

find the following (a) 20% of 1 kg in grams​

Answers

Answer:

20% of 1kg.(1000g)

20/100×1000g

200g

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]

-6.5m + 14.3< -22.75

Answers

Answer:

[tex]m > 5.7[/tex]

hope this helps consider downloading photomath

Marquis and Nikki are saving up for new iPads. Marquis has already saved up $130 and earns $25 a week mowing lawns in his neighborhood. Nikki has $55 in birthday money. She earns $40 a week babysitting her cousins after school. Write an equation to determine when they will have saved up the same amount of money. Use w for weeks

Answers

Answer:

you would add 25, 130,55, and 40 all together and than get ur answer

Step-by-step explanation:

PLEASE HELP, multiple choice! Will give brainliest!!

Answers

9514 1404 393

Answer:

  (d)  x = 3

Step-by-step explanation:

The "vertex form" of the equation of a parabola is ...

  y = a(x -h)² +k

In this form, the vertex has coordinates (h, k).

Comparing the form to your equation, you see that h=3, k=4, so the vertex is (h, k) = (3, 4).

The line of symmetry is a vertical line through the vertex. It will have the same x-value as the x-coordinate of the vertex:

  x = 3

_____

In short, the equation of the line of symmetry has its constant equal to the opposite of the value added to x. Here, the added constant is -3, so the line of symmetry is x=3.

The values h and k in the vertex-form equation represent the amount of translation right and up from the parent function graph. When the graph is translated 3 units to the right, the line of symmetry moves from x=0 to x=3.

8x + 3 – 13
31 - 21 - 11

Answers

Answer:  8x+10

-1

Step-by-step explanation:

Match each expression with the equivalent expanded expression

Answers

-3 (2/3x-1)= -2x+3

1/3(9+81) =30

0.5(2x+3)=x+1.5

-5(2x+3/5)=-10x-3

2(4x-2)=8x-4

Ellen is playing a video game in which she captures butterflies. There are 6 butterflies onscreen, but the number of butterflies doubles every minute. After 4 minutes, she was able to capture 8 of the butterflies.


Part 1 out of 2
Enter an expression for the number of butterflies after 4 minutes. Use a power of 2 in your answer.

Answers

Answer:

(2 x 4) - 8

Step-by-step explanation:

A hula hoop has an circumference 150.72 cm. What is the area of the hula hoop? (round to the nearest hundredth)

Answers

Answer:

Area = 1808.64 cm

Step-by-step explanation:

Circumference of a circle = 2πr

Circumference = 150.72

π = 3.14

r = radius

150.72 = 2 x 3.14 x r

150.72 = 6.28 r

r = 150.72/6.28

r = 24cm

Radius = 24

Area of a circle = πr²

Area = 3.14 x 24²

Area = 3.14 x 576

Area =1808.64 cm

Answer:

1808.64 cm

Step-by-step explanation:

tried it on khan and it worked

How can this expression be written another way?
60x - 24
Factor using the distributive property and the greatest common factor to write an equivalent expression
Enter your answer by filling in the boxes.

Answers

Answer:

factor using 12 (gcf)

12(5x-2)

While this ratio changes over time, 1 Euro is currently valued at 1.21 U.S. Dollars. Use proportions to find the cost in U.S. Dollars of an item costing 48.14 Euros. Then, find the cost in Euros of an item that costs 97.72 US Dollars. Fill in the four blanks below.
Proportion equation used for answer below:_________
48.14 Euros=__________ US Dollars
Proportion equation used for answer below:__________
97.72 US Dollars = _________ Euros

Answers

Answer:

48.14= $58.25

$97.92= 81.27 euro

Step-by-step explanation:

Giving the following information:

1 Euro is currently valued at 1.21 U.S. Dollars.

First, we need to calculate the dollar value of 48.14 euros.

Proportion equation used for answer below: 1e= 1.21d

48.14*1.21= $58.25

Now, the euro value of 97.72 dollars.

Proportion equation used for answer below: (1:1.21) 0.83

1 dollar equals 0.83 euro.

97.92*0.83= 81.27 euro

Solve each equation for the given variable using your best guess and check skills after checking your guess by plugging it in to the equation, modify your guess if needed until you make a true statement and equality.REAL ANSWERS ONLY ​

Answers

Step-by-step explanation:

1)

4n+1=17

4n=16

n=4

2)

17=3x+2

3x=15

x=5

3)

5y-10=40

5y=50

y=10

Please help with explanation

1/3 of Cheryl’s savings was the same as 3/4 of Hilda’s savings.Cheryl saved $36.

(a) Find the ratio of Cheryl’s savings to Hilda’s savings.

(b) How much did Hilda save?

Answers

Answer:

a) the ratio is 9:4

b) Hilda did save $16.

Step-by-step explanation:

Let's define the variables:

C = Cheryl's savings.

H = Hilda's savings.

We know that:

(1/3)*C = (3/4)*H

We also know that Cheryl saved $36, then we have:

C = $36

Now we can replace that in the above equation to get:

(1/3)*$36 = (3/4)*H

$12 = (3/4)*H

$12*(4/3) = H = $16

Then Hilda did save $16.

And the ratio between of Cheryl's savings to Hilda's savings is:

36 : 16

We can simplify this if we divide both by 2.

(36/2) : 16/2

18 : 8

Again, we can divide both by 2:

(18/2) : (8/2)

9 : 4

Then the ratio is 9 : 4

An angle that is one half its arc is a/n
angle.
Select one:
O a. exterior
O b. interior
O c. inscribed
O d. central

Answers

The answer is inscribed


The measure of an inscribed angle is half the measure of the intercepted arc. That is, m∠ABC=12m∠AOC. This leads to the corollary that in a circle any two inscribed angles with the same intercepted arcs are congruent.

Find the volume of the conical paper cup.
3 cm
7 cm
O A. 49 pi cm ^3
B. 7 pi cm^3
C. 21 pi cm ^3
O D. 63 pi cm^3

Answers

Answer:

C. 21π cm³

Step-by-step explanation:

Use volume formula for cone

[tex]V = \pi r^{2} \frac{h}{3}[/tex]

r = 3cm

h = 7cm

[tex]V = \pi (3)^{2} * \frac{7}{3}[/tex]

[tex]V = \pi 9 * \frac{7}{3}[/tex]

[tex]V = \pi \frac{63}{3}[/tex]

[tex]V = 21 \pi[/tex]

Answer:

C

Step-by-step explanation:

credit goes to the person up top

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The area of the base of the sculpture is 15 square meters and ithas a height of 10 meters.What is the volume of the sculpture in cubic meters?O 50 mO 75 mO 150 m3O 450 mHELP ASAP ILL GIVE BRAINLIEST Which equation represents a line which is parallel to the line y = 82 - 4?O I + 8y = -16Oy - 83 = -1Submit AnswerOz - 8y = -40O 8x +y = 3PLEASEEEEEE HELLOPOOPO Select the correct answer.Which function has an inverse function?OA. F(x) = |x-4|+ 1OB. F(x) = 25x^2+70x+49OC. F(x) = x^4OD. F(x) = x+3/7 1. Draw the Great Pyramid of Cheops in Egypt also known as the Great Pyramid of Giza. It is the oldest and largest of the three pyramids in the Giza pyramid complex bordering present-day Giza in Greater Cairo, Egypt. It has a square base with side length of approximately 800 ft. Its triangular faces are equilateral. 2. Compute the height of its triangular face. Express in simplified radical form 3. Is it possible to compute the height of the pyramid? 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