Mathematics College

please help asap
perform the indicated operation. Write the answer in the form a+bi.
(3-10i)(2+4i)

20 points

Answers

Answer 1

Answer:

  46 -8i

Step-by-step explanation:

Multiplication of complex numbers is done in a fashion similar to multiplication of any binomials. The difference is that i² = -1, so some terms can be combined.

  (3 -10i)(2 +4i) = 3(2 +4i) -10i(2 +4i)

  = 6 +12i -20i -40i² = 6 -8i +40

  = 46 -8i

_____

Your calculator may be able to help.

Please Help Asap Perform The Indicated Operation. Write The Answer In The Form A+bi.(3-10i)(2+4i)20 Points

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The total surface area of a cone whose radius is halved and slant height is doubled:-
[tex]\huge \pink{\frak{ Options - }}\\ \large{\tt{ \dashrightarrow 2 \pi r(l + r)}} \\ \large{\tt{ \dashrightarrow \pi r(l + \frac{r}{4} )}} \\\large{\tt{ \dashrightarrow \pi r(l + r)}} \\ \large{\tt{ \dashrightarrow 2\pi rl}} \\ [/tex] [tex] \orange{\rule{100mm}{3.2pt}}[/tex] [tex]\large \gray{\sf \leadsto{ No \: Spam}}[/tex] [tex]\large{\sf \gray{ \leadsto Answer \: should \: explain}}[/tex] ​

Answers

Formula is

[tex]\\ \rm\Rrightarrow TSA=\pi(r+\ell)[/tex]

Now

r is r/2l is 2l

[tex]\\ \rm\Rrightarrow TSA=\pi\left(\dfrac{r}{2}\right)\left(\dfrac{r}{2}+2\ell\right)[/tex]

[tex]\\ \rm\Rrightarrow TSA=\dfrac{\pi r}{2}\left(\dfrac{r+4\ell}{2}\right)[/tex]

[tex]\\ \rm\Rrightarrow TSA=\dfrac{\pi r}{2}\times 2\left(\dfrac{r}{4}+\ell\right)[/tex]

[tex]\\ \rm\Rrightarrow TSA=\pi r(\ell+\dfrac{r}{4})[/tex]

7 > 2 - 4 all possible solutions

Answers

Answer:

The inequality is true. There is only one solution: 7 > -4

Step-by-step explanation:

Subtract 2 and 4. You get -2. Then 7 > -2

i really need help on this question ​

Answers

Answer:

0.0000000001

Step-by-step explanation:

A board 6 ft 11 in long is cut from a board 10 ft 5 in long. Find the length of the remaining
piece of board.

Answers

Answer:

3' 6" left

Step-by-step explanation:

6' 11" = 83"

10' 5" = 125"

125 - 83 = 42"

42" = 3' 6"

Explain a way you could calculate exactly when smartphone manufacturers were shipping 500 million smartphones to stores around the world.

Answers

Answer:

When you see the 500m spike in the graph.

Multiply: 329 x 684
I need to put a comma or not
hel pleaseee

Answers

You can normally calculate, but what I use is :

329 x 684 = 329 x (700-16)

= 329 x 100 x 7 - 329 x 16
= 32900 x 7 - 329 x 16
= 230300 - 5364 = 225036.

I NEED HELP PLEASELELLSLLSKFOR SOM POINTS

Answers

Answer:

A

Step-by-step explanation:

Looking at the median data, there is a higher amount of people waiting in line for coffee on Wednesday, than there is on Sunday.

The town of Ferndale has four candidates running for mayor: the town barber, Darrell; the fire chief, Clough the grocer, Abel; and a
homemaker, Belle. A poll of 1000 of the voters shows the following results:
DABC = 225
CABD = 190
CADB = 210
BADC = 375
Is there a winner using the plurality method?

Answers

Bad b said she from China town


Please i need your help

Answers

Answer:

1. YES, BECAUSE WITH TAX, IT WOULD BE 9.88

2. MOVE THE DECIMAL OVER TO THE LEFT BY ONE PLACE

ANSWER IS 5.356

Step-by-step explanation:

IF TAX IS 13% YOU MULTIPLE 8.75 BY 1.13. YOU GET 1.13 FROM THE ORIGINAL PRICE PLUS .13 IN TAX.

Write the equation of a line in slope intercept
form of a line that has a slope of 2/3 and contains (-6,3)

Answers

Answer:  y = (2/3)x + 7

Step-by-step explanation:

Slope intercept form is usually write as y = mx + b, where m is the slope, b is the y-intercept.

(-6,3): -6 is the x, 3 is the y.

To solve b, we plug in x, y and m into the equation:

y = mx + b

3 = (2/3)(-6) + b

3 = -4 + b

7 = b

Then we plug m and b in, we get:

y = mx + b

y = (2/3)x + 7

Oxford backslap soaps a soaps Sox a

Answers

Answer:

what

Step-by-step explanation:

Examine the following typical corporate bond listing: Bonds Case Nat.Chg. 1 NYTel 7- 33 69 18 3 101 4 8 In the name column, NYTel is the abbreviated name of the company (New York Telephone) issuing the bond. What does the number 7, represent? interest or coupon rate b. maturity date of the bond C current yield of the bond d. the difference in price from the previous close

Answers

According to this typical corporate bond listing of New York Telephone, the number 7, represents A. interest or coupon rate.

What is a bond interest rate?

The bond interest rate is the annual interest (coupon) rate paid on a bond.  

The amount of interest is expressed as a percentage of the face value.

The bond interest (rate or amount) represents the periodic compensation that is due in exchange for the bondholder's agreement to lend their funds to the entity for some period.

Thus, the number 7, represents A. interest or coupon rate., not the maturity date, current yield, or the difference in price.

Learn more about bond interest rates at https://brainly.com/question/13990294

Answer: interest or coupon rate

Step-by-step explanation:

got 100% on the test

help pleaseeee e

What are real numbers and what are their subsets?
-What applications do real numbers have in our daily lives?
2. Make a summary (one page) of your search and what you learned in APA style format

Answers

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line. The adjective real in this context was introduced in the 17th century by René Descartes, who distinguished between real and imaginary roots of polynomials.

In addition to measuring distance, real numbers can be used to measure quantities such as time, mass, energy, velocity, and many more. Real numbers can be thought of as points on an infinitely long line called the number line or real line, where the points corresponding to integers are equally spaced

Select whether to use the Pythagorean Theorem or its converse in each situation.

Pythagorean Theorem

Converse

Anight triangle has sides

of length 3 cm and 4 cm.

What is the length of its

hypotenuse?

A triangle has sides of

length 10 m, 15 m, and 8 m,

Is it a right triangle?

A square has sides of length

2 om. What is the length of

its diagonal?

A right triangle has one side

that is 15 ft. Its hypotenuse

is 17 ft. How long is the

other side?

Answers

the side is 15ft long

89divided by 5 I NEED HELP

Answers

Answer:

17.8

Step-by-step explanation:

What is the volume of the sphere? Please

Answers

Answer:

   3053.6 mm³

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = 4/3πr³ . . . . . where r is the radius, half the diameter

__

For the given sphere, the volume is ...

  V = 4/3π(9 mm)³ = 972π mm³ ≈ 3053.6 mm³

A pie is split into 3 equally sized
pieces.
Each piece has an area of 79 in?
What is the total area of the pie?

Answers

the total area of the pie is 237

please help me answer this asap thank you
find the value of x

Answers

Answer:

[tex]\boxed{\tt x=20}[/tex]

Step-by-step explanation:

[tex]\tt 2x=5(8)[/tex] ← (Multiply the numbers)[tex]\tt 2x=40[/tex][tex]\tt \cfrac{2x}{2} =\cfrac{40}{2}[/tex] ← (Divide both sides by 2)[tex]\tt x=20[/tex]

~

What is the number of years it will take the investment to double? if Moe invests $ 7,500 in an account that pays 2.4% interest compounded monthly. Round your final answer to two decimal places.

Answers

Answer:

  28.91 years

Step-by-step explanation:

The investment value is multiplied each year by the factor ...

  (1 +r/12)^12

  = (1 +0.024/12)^12 = 1.002^12 ≈ 1.024265768

When the investment is multiplied by this factor for x years, the multiplication factor becomes 1.024265768^x. We want to know the value of x that makes this equal to 2:

  2 = 1.024265768^x

  log(2) = x·log(1.024265768) . . . . . take logarithms

  x = log(2)/log(1.024265768) ≈ 28.91

It will take 28.91 years for the investment to double at 2.4% compounded monthly.

A principal of $4800 is invested at 5.5% interest, compounded annually. How much will the investment be worth after 5 years?

Answers

Answer:

A = $6273.41

Step-by-step explanation:

[tex]\displaystyle A = P \big{(}1+ \frac{r}{n} \big{)} ^{nt}[/tex]

A = Amount of the investment in the futureP = Principal value (initial amount)r = Interest rate n = Number of times interest is compounded per yeart = Time (years)

Substitute all of the known values into this equation.

[tex]\displaystyle A = 4800\big{(}1 + \frac{.055}{1}\big{)} ^{(1)(5)[/tex]

Solving for A in this equation gives us an answer of:

[tex]A = 6273.41[/tex]

Therefore, the investment will be worth $6273.41 after 5 years.

Complete the table of values and sketch the graph of y = -3(2) x

Answers

X Y
— —
-2 12
-1 6
0 0
1 -6
2 -12

Multiple choice question) Suppose the credit limit on your credit card is $4,925. What is the largest balance you should carry on this card to maintain an acceptable debt ratio? 43% Is the debt ratio

A. $2,807.25

B. $2,462.50

C.$2,177.75

Answers

Answer:

The answer is C

Step-by-step explanation:

4,925 x 0.43 = 2,117.75

A gym employee is payed monthly. After working for 3 Months, he had earned $4,500. To determine how much money he will make over a six month period, he created the table below. After how many months will the gym employee have made $19,500?

Answers

Total earnings :
Month 1 =1500
Month 2=3000
Month 3=4,500
Month 4=6000
Month 5=7500
Month 6=9000

After how many months will the gym employee have made 19,500 ? 19,500 divide by 1,500 (how much he earned in a month ) equals to 13. So he earned 19,500 during 13 months


Explanation : we know that he earned 4.5k for 3 months so we have to find out how much he earned in 1 month by dividing 4500 and 3 . 4500:3 = 1500 . To find how much he got in 2 months , we multiply 1500 by 2 . And so on

Solve for x. Please look at the picture and answer it. Thank you.

Answers

Answer:

I think 12.2

Step-by-step explanation:

58+(8x-18)+(4x-4) = 180

58+(-18-4)+(8x+4x) = 180

58-22+8x+4x = 180

58-22+12x = 180

36+12x = 180     1. -36 on both sides

12x = 146           2. / 12 on both sides

x = 12.2

Select all the correct answers.

Brian set his compass equal to the radius of circle C and drew two circles centered at points A and B on circle C. He labeled the points of intersection of the two circles as shown.



To complete his construction, Brian only needs to use his straightedge to draw some chords of circle C.

Which figures could Brian be constructing?

equilateral triangle MNQ inscribed in circle C
equilateral triangle ANP inscribed in circle C
regular hexagon AMNBPQ inscribed in circle C
square MNPQ inscribed in circle C
square ANBQ inscribed in circle C

Answers

Answer: equilateral triangle ANP inscribed in circle C, regular hexagon AMNBPQ inscribed in circle C

Step-by-step explanation:

By looking through our choices, we can eliminate which choices could be wrong and which choices could be right.

Δ MNQ does form a triangle, however, it DOES NOT form a equilateral triangle.

Δ ANP does form a triangle and it is ALSO an equilateral triangle.

Hexagon AMNBPQ does form a hexagon and it is ALSO a regular polygon as we can see all the sides and angles within the polygon are congruent to one another.

MNPQ does form a quadrilateral, however, it DOES NOT form a square. It is instead a rectangle.

ANBQ does form a quadrilateral, however, it DOES NOT form a square. It is instead a rectangle.

The quotient of 25 and 5 increased by3

Answers

Answer:

8, the answer is 8

Answer:the anwer is 8

Step-by-step explanation:

its 8

PLEASE HELP ME!!!!!!!!!!! VE ()) You roll a 6-sided die two times. 1) What is the probability of rolling a number greater than 3 and then rolling a number greater than 3? ()) Write your answer as a percentage. % Submit​

Answers

Answer:

25%

Step-by-step explanation:

Ok, so a die is rolled twice. The probability of rolling a number greater than three is 3/6 or 1/2 because 4, 5, and 6 are greater than three.

The probability of rolling a number greater than three the second time is also 3/6 or 1/2.

To get the answer of rolling both greater than three in a row, you simply multiply then together:

1/2 * 1/2= 1/4 So there is 1/4 chance or probability a number greater than 3 would be rolled twice in a row.

1/4 is the same as 25%

Calculate greatest common divisor by step approach and reduce to lowest terms: 180/440

Answers

Answer:

the (GCF) greatest common factor is 20

Step-by-step explanation:

Answer:

divide both the numerator and denominator by the GCD .

440/20

180/20

reduced fraction : 22/9

therefore, 440/180 simplified to lowest terms is 22/9

Which mathematical word describes both 27X and 6X in the expression 27X plus 6X

Answers

The mathematical word that describes both 27X and 6X in the expression 27X + 6X is term

How to determine the mathematical word?

The expression is given as:

27X plus 6X

Rewrite the expression as:

27X + 6X

In the above expression, 27X and 6X are the terms of the expression.

Hence. the mathematical word is term

Read more about expressions at:

https://brainly.com/question/723406

If y varies inversely of the square of x and y= 1/72 when x=3 find y when x =5

Answers

Answer:

[tex]y = \frac{1}{200}[/tex]

Step-by-step explanation:

[tex]y[/tex] ∝ [tex]\frac{k}{x^{2} }[/tex] (k is a constant we need)

[tex]\frac{1}{72} = \frac{k}{3^{2} }[/tex]

[tex]k = 0.125[/tex]

[tex]y = \frac{0.125}{5^{2} }[/tex]

[tex]y=\frac{1}{200}[/tex]

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