If a = –2 + 2i and b = -5i, then find the value of the ab^3 in
fully simplified form.

Answers

Answer 1

Answer:

Step-by-step explanation:

Rewrite the equation

Start multiplying

Simplify

If A = 2 + 2i And B = -5i, Then Find The Value Of The Ab^3 Infully Simplified Form.
Answer 2

The value of ab³ in simplified form is equal to -250(i + 1).

What is an equation?

Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation. For an unknown quantity represented by an unknown variable, equations are then solved to determine its value. A statement is not even an equation if there is no "equal to" sign in it.

From the given values in the question,

a = -2 + 2i

b = -5i

ab³ = (-2 + 2i) × (-5 i)³

=  (-2 + 2i) (-125 i³)

=  (-2 + 2i) (-125 (-i))

=  (-2 + 2i) (+125 i)

= 125 i(-2) + 125 i(2i)

= -250 i + 250 i²

= -250 i -250 or,

ab³ = -250 (i+1)

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Related Questions

What is the percent increase 41,700 and 63,00

Answers

Answer:

51.0791%

Step-by-step explanation:

Calculate percentage change

from V1 = 41700 to V2 = 63000

(V2−V1)|V1|×100

=(63000−41700)|41700|×100

=2130041700×100

=0.510791×100

=51.0791%change

=51.0791%increase

CAN SOMEONE PLEASE HELP! I WILL MARK BRIANLIEST

Answers

Answer:

yes is is proportional

x=ydivided by 3.5

Step-by-step explanation:

Answer: multiplying by 3.5

Step-by-step explanation: because if you divide 7 by 2 you will 3.5

what would the value of X be on this one?

Answers

Answer:

i think it's 51 because if you add 106 and 23 together it's 129 then 180-129= 51

Step-by-step explanation:

Write an equation in slope-intercept form for a line with m = 3 and includes the
point (0, 2).

Answers

Answer:

y=3x+2

Step-by-step explanation:

dont put  0 because it dont make sense

if you put 0 n the equation, you will not will get the right equation

The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?

Answers

Answer:

$52.50

Step-by-step explanation:

Set up the ratio:

[tex]\frac{24.50}{7}[/tex]

Simplify in order to find the cost per gallon.

The cost per gallon is $3.50 because 7 divided by 7 is one and 24.50 divided by seven is 3.5.

Now you have this left:

[tex]\frac{3.50}{1}[/tex]

Multiply the denominator by 15 since Robert needs 15 gallons.

Then, multiply the top by 15 because whatever you do to the denominator, you have to do to the top.

Now you have this left:

[tex]\frac{3.5}{1}[/tex] = [tex]\frac{52.50}{15}[/tex]

Therefore, Robert needs to pay $52.50 in order to recieve 15 gallons of gasoline.

Select "Rational" or "Irrational" to classify each number

Answers

Answer:

rational

Step-by-step explanation:

I'm coochie man

What numbers? please go into further explanation

An exterior angle of a triangle is 152°. If the non-adjacent angles are congruent, then what are the measures of all of the interior angles of the triangle?

a. 62°, 59°, 59°
b. 90°, 45°, 45°
c. 152°, 14°, 14°
d. 28°, 76°, 76°

Answers

9514 1404 393

Answer:

  d.  28°, 76°, 76°

Step-by-step explanation:

The sum of the "non-adjacent" interior angles of the triangle is equal to the exterior angle, so is 152°. If those angles are congruent, each is half of 152°, or 76°. The remaining angle is the supplement to 152°, so is 180-152 = 28 degrees.

The interior angles are 28°, 76°, 76°.

ABC and DEF are similar. Find the missing side length.

Answers

Answer:

The missing side length is 5

Step-by-step explanation:

Basically 32 to 4 and 56 to 7 is 8 to 1, so you divide 40 by 8 to get the answer, 5

Find the slope of the line y
=2x + 3/7

Answers

Answer:2

Step-by-step explanation:

Number by x

Answer:

Below!

Step-by-step explanation:

The equation y = 2x + 3/7 is in slope-intercept form: y = mx + b, where m = slope and b = y-intercept.

Note that m is the coefficient of x, and b is the constant.

The coefficient of x is 2, and the constant is 3/7.

Hence, these are the answers.

[tex]\rule{350}{4}[/tex]

[tex]\frak{-Dream-}[/tex]

) Al repartir laminas entre mis amigos, pude darle 5 a
cada uno y me sobran 2. Pero luego llegaron 2 amigos
más, por lo que las repartí de nuevo y pude darle
láminas a cada uno. ¿cuántos amigos había al principio y
cuántas láminas tenia?​

Answers

Answer:

Había cinco amigos al principio y siete laminas en total. (Using google translate)

Step-by-step explanation:

pude darle 5 a cada = 5 amigos

5 a cada uno y me sobran 2 amigos más, por lo que las repartí de nuevo y pude darle = siete laminas

Jim stands on a dock that is 3 3/4 feet above the lake. He dives down 12 1/2 feet below the dock. What is Jims vertical location relative to the lake surface?

Answers

Given:

Jim stands on a dock that is [tex]3\dfrac{3}{4}[/tex] feet above the lake. He dives down [tex]12\dfrac{1}{2}[/tex] feet below the dock.

To find:

The Jims vertical location relative to the lake surface.

Solution:

We have,

Vertical location of dock relative to the lake surface [tex]=3\dfrac{3}{4}[/tex] feet

He dives down [tex]12\dfrac{1}{2}[/tex] feet below the dock. So,

Vertical location relative to the lake surface [tex]=3\dfrac{3}{4}-12\dfrac{1}{2}[/tex]

[tex]=\dfrac{3\times 4+3}{4}-\dfrac{12\times 2+1}{2}[/tex]

[tex]=\dfrac{12+3}{4}-\dfrac{24+1}{2}[/tex]

[tex]=\dfrac{15}{4}-\dfrac{25}{2}[/tex]

Taking LCM, we get

[tex]=\dfrac{15-50}{4}[/tex]

[tex]=\dfrac{-35}{4}[/tex]

[tex]=-8\dfrac{3}{4}[/tex]

Here, negative sign means Jim location is below the lake surface.

Therefore, Jim is [tex]8\dfrac{3}{4}[/tex] feet below the lake surface.

Answer:-8 3/4

Step-by-step explanation:

I just took the cahoot

WHICH ONE DO I PICK?

Answers

AAS theorem I believe

PLS HELP ME OMG I'm doing properties of equality

Answers

Please take a picture more clear and post it again

Hey, if there is anyone that likes Miraculous ladybug as much as me, you can dial my number and i can pretend to be adrien, chat noir, alya, marinette, or ladybug. (I like acting out chat noir the best) 3856026122

Answers

Answer:

This is amazing and funny but I would rather not give a stranger my phone number but i would if I wasnt such protective

Step-by-step explanation:

Answer:

cool

Step -by-step explanation:

brain list me please

can you please help me with these two questions thank u

Answers

Answer:

the answer to question 1 is 24 and the answer to number 2 is 1

Answer:

frist one is 24. second is 1

Step-by-step explanation:

Draw a graph of the line that goes through the points (-4, 7) and (0, 3)
What is the y-intercept and slope of the line you've drawn?

Answers

Answer:

y = -x + 3

Step-by-step explanation:

Use this formula to get the slope [tex]\frac{y2 - y1}{x2 - x1}[/tex]

PLUG IN

[tex]\frac{3 - 7}{0 - -4} \\\\\frac{-4}{4} \\[/tex]

-4/4 = -1

The slope is -1

To find the y- intercept plug your slope and one of your points in this y=mx+b

We will use (0,3)

3 = -1(0) + b (b represents y-intercept)

3 = b

The equation would look like this

y = -x + 3

Hope this helps ya!!

can someone find the slope and y intercept ?

Answers

Answer:

Slope = -5/4

Y-Intercept = (0, -4)

Step-by-step explanation:

Step One: Determine two points.

In order to find slope, we have to find the amount of horizontal units (left and right) and vertical units (up and down) that two points are apart. We can choose any two points along this line to compare, so I'll use (0, -4) and (5, 0) since they align perfectly on the grid.

Step Two: Find the difference between the two points.

To find the differences, all we have to do is subtract the second point's X value from the first point's X value. So in this case, we would subtract 5 from 0, which gives us -5.

Next, we have to find the difference in our Y values, so we'll do the same thing here. We'll have 0 - (-4) (or 0 + 4, since subtracting a negative number is technically just addition), which ends up being 4.

Step Three: Put the differences into slope form.

Our slope form is Y/X, or you can think of it as "Rise/Run". We remember that our Y difference was -5, and our X difference was 4, so our end slope would be -5/4.

Step Four: Find the Y-Intercept

Since you have access to a graph of the line, the easiest way is to look at your graph and find the point where the line crosses the Y-axis (the black, vertical line where X = 0). From the graph, we can tell that the blue line crosses the Y-axis at (0, -4), so our Y-Intercept would be (0, -4)

HELP PLS THIS IS A TEST QUESTION


Which linear inequality is represented by the graph?
y<1/2x+2
y>1/2x+2
y<1/3x+2
y>1/3x+2

Answers

Answer:

y<1/2+2

Step-by-step explanation:

Answer:

I think the answer is A because I learned about slope last year

PLEASE HELP ASAP
Write the slope-intercept form of an equation of the line that passes through the
given point and is perpendicular to the graph of the equation..
(-3, -2), y = x + 2 .

Answers

Answer:

y=-x-5

Step-by-step explanation:

How much interest is earned on $470 at 4% for 36 months?

Answers

Answer:

The interest earned on $470 at 4% for 36 months is $56.4

Step-by-step explanation:

We are given

Principal Amount P₀= $470

Rate r = 4% = 0.04

Time t = 36 months = 3 years

We need to find interest I

The formula used is: [tex]I=P_ort[/tex]

Putting values and finding Interest I

[tex]I=P_ort\\I=470(0.04)(3)\\I=56.4[/tex]

The interest earned on $470 at 4% for 36 months is $56.4

please help me.
im dying

Answers

Answer:

19/37

Step-by-step explanation:

47/148 + 29/148 = 76/148 = 38/74 = 19/37

Use the diagram to solve. What is 260% of 6?

Percent
Total
100%
100%
20%
20%
20%
260%




A. 3.6
B. 9.6
C. 15.6
D. 21.6

Answers

Answer:

3.6

Step-by-step explanation:

260% of 6

100%= 0.06

100% times 2 is 0.06 X 2= 0.12

200%= 0.12

10%= 0.6

60%= 3.6

200% + 60%=

0.12 + 3.6= 3.72

The closest to 3.72 is 3.6

So the answer is 3.6

Answer:

To find this, multiply 6 by the decimal value of the percent.

6*2.6=15.6

Final answer: 15.6

Step-by-step explanation:

Dexter is curious as to whether there is a relationship between a person’s height and thumb length. Fourteen of his classmates volunteered to be measured. He listed his data in a table.

Examine the data set and determine the relationship, if any, between height, h, and thumb length, t. Use your model to predict the thumb length of a person who is 174 cm tall.

Answers

The answer to this question is 7.404

Determine if the figure below has rotational symmetry, line symmetry or both and
describe the transformation that mas the figure onto itself. BE SPECIFIC. You must
name the center of rotation and degree of rotation if it has rotational symmetry or
lines of reflection if it has line symmetry

Answers

Answer:

A) Given that the figure is a rectangle, it has a rotational symmetry and by rotating the figure 180° about the center of the figure, the preimage and image will coincide

The figure also has a line symmetry for the vertical line x = 5, and a line symmetry for the horizontal line y = 5

Therefore the figure has both symmetry

B) The transformation that maps the figure unto itself are therefore;

1) Rotating the figure 180° about the point (5, 5) which is the center of the figure

2) Reflection of the figure across the line x = 5 and also reflection of the figure across the line y = 5

Step-by-step explanation:

MATHY MATHEMATICIANS PLEASE ANSWER MY PRAYER AND THIS QUESTION TOO>>>>I WILL OFFER YOU MY BRAINIEST BRIANLY.

The water level of a river was measured each day during a two-week period. The graph models the linear relationship between the water level of the river in feet and the number of days the water level was measured. Which statement best describes the y-intercept of the graph?

(Graph and answer choices below)

Answers

Answer:

C

Step-by-step explanation:

A circular tablecloth is 6 feet in diameter. How many feet of ribbon would be required
to edge the circumference of this tablecloth? Use 3.14 as the value of pi. Round to
the nearest whole number.

Answers

Answer:

You'll need 18.85 feet of ribbon.

Step-by-step explanation:

The circumference is [tex]\pi d[/tex].

[tex]\pi * 6 = 18.85[/tex]

Joe pays $25.10 for 2.5 pounds of wall-paper. What is the price, in dollars and cents, per pound of wall paper?

Answers

Answer:

10.04

Step-by-step explanation:

25.10/2.5=10.04

Answer:

10.04

Step-by-step explanation:

All you do is divide 25.10 by 2.5, the total($25.10) by the amount(2.5) then that is where

25.10 divided by 2.5 comes from, therefore your answer is 10.04

What is 45 percent of 37 A. 0.1665 B. 1.665 C. 16.65 or D 166.5

Answers

Answer:

The answer is C. 16.65 Hope that helps :)

45 percent of 37 is equal to 16.65. The correct answer is C) 16.65.

To find 45 percent of 37, we can multiply 37 by 0.45 since 45 percent is equivalent to 0.45 as a decimal.

37 * 0.45 = 16.65

Therefore, 45 percent of 37 is equal to 16.65.

The correct answer is C) 16.65.

The calculation represents taking 45 percent (or 0.45) of the value 37, resulting in the product 16.65. This means that if you were to take 45 percent of 37, you would obtain the value 16.65. It's essential to understand how to convert percentages to decimals to perform accurate calculations involving percentages.

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Solve the system of equations below.
y=3x
2x + y = 15

Answers

Answer:

x=3

Step-by-step explanation:

2x+(3x)=15

5x=15

x=3

solving for y:

3(3)=9

y=9

Answer:

(y,x) (9,3)

Step-by-step explanation

What is the measure of ∠ABD?

Answers

Answer:

m∠ABD = 114°

Step-by-step explanation:

Given measurements of interior angles are:

m∠D = 2n°

m∠C = 60°

m∠ABD = (4n+6)°

The measurement of exterior angle of a triangle is equal to the sum of two opposite interior angles.

This can be mathematically expressed as:

m∠ABD = m∠C+m∠D

Putting the respective values

[tex]4n+6 = 2n+60\\4n-2n+6 = 60\\2n+6 = 60\\2n = 60-6\\2n = 54\\\frac{2n}{2} = \frac{54}{2}\\n = 27[/tex]

Putting n=27 in (4n+6)°

[tex]=4(27) + 6\\= 108+6 = 114[/tex]

Hence,

m∠ABD = 114°

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