d. (3+5i) (6-i) = Show your work.​

Answers

Answer 1

Answer:

4i + 9 < simplified version

Step-by-step explanation:

3 + 5i + 6 - i =

4i + 9

Answer 2
To multiply this using FOIL:

(3+5i)(6-i)

step 1) 3•6 = 18
step 2) 3• -1i = -3i
Remember: if there is no coefficient, there is technically a 1 there so it’s easier to picture if you put that one in front of the variable.
step 3) 5i•6 = 30i
step 4) 5i• -1i= -5i^2

that turns into the expression 18-3i+30i-5i^2
then you can gather like terms (the -3i and 30i) 18+27i-5i^2

Remember that when you have and i that’s squared, it turns into -1.

So, the new expression is 18+27i-5(-1)
Remember to use order of operations and multiply first -5(-1)=5

18+27i+5

Then combine the constants (18 and 5)

The answer is: 23+27i

Related Questions

A customer pays $7.14 for oranges and $5.16 for pears. How many pounds of fruit does the
customer buy?

Answers

Answer:

10 pounds

Step-by-step explanation:

Weight of oranges bought = $7.14 ÷ $1.19

                                            = 6 pounds

Weight of pears bought = $5.16 ÷ $1.29

                                        = 4 pounds

Total weight of fruits bought = 6 + 4

                                                = 10 pounds

question is in the photo

Answers

Hope this helped :)
Check the image below for working

how many feet are there in two and one half miles

Answers

Answer:

Step-by-step explanation:

13200 feet

Plz help me with this i beg of you. I will mark you brainliest!!!

Answers

Answer:

13/15

Step-by-step explanation:

love the pic of deku

well the common denominator is 15, so multiply 1/5 by 3 and get 3/15, then multiply 2/3 by 5 and get 10/15. now add that and get 13/15 as your answer.

Gianni used 6 gb out of 8 gb includes in his cell phone plan. What percent of his data did he use

Answers

Answer:

75%

Step-by-step explanation:

If he used 6 out of 8 gb of his cell phone plan we can write that as a fraction as 6/8.

We can simplify 6/8 to 3/4. And 3/4 when divided is equal to 0.75 which when written as a fraction is 75%.

I hope this helps!

Avery is renting a car and needs to compare the prices of the two car rental companies. Hertz charges $42 per day and an additional $32 in service charges. Enterprise charges $46 per day and an additional $24 in service changes.



Part A: Write an equations for EACH company that represents the total charges for renting a car for a certain number of days. For both questions (one for Hertz and one for Enterprise), define the variable used.



Part B: Use the equations you made in Part A. Which company charges more for renting a car for 6 days? Show your work and justify your answer.



Part C: If Avery decides to rent the car for only 4 days, which company is less expensive? How much money will Avery save? Show your work and explain your reasoning.

Answers

Part B: since it’s not a bad thing to say i it’s okay so far so i don’t want me too late so i’m don’t have a problem to do that again lol lol i’m i i i i love mommy merry merry valentines gift to kiss mommy merry mommy daddy daddy love you buddy love you mommy merry christmas merry merry love you merry merry love

6.
Given the graph, select yes or no for each
statement.
-2
2
X
2
a. The domain is (-∞, 4].
b. The range is (-∞, 4].
Yes
O
O
No
O
O

Answers

Select no for both a and b.

Disclaimer:

The graph is not attached to the question.

And the function is also not clear.

Assume that the given question is f(x) = -4x².

Refer to the answer below.

The given function does not have any undefined points or domain constraints.

Therefore, the domain for this function f(x) is the set of all real numbers.

The minimum value of the function f(x) is -∞.

The maximum value of the function f(x) is 0.

Therefore, the range is (-∞, 0].

Option a:

The domain is (-∞, 4].

So, the answer is no for this option.

Option b:

The range is (-∞, 4].

So, the answer is no for this option.

Refer to the attached graph for this function.

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Emilia's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 100 espressos in all, 10 of which were single-shot. What percentage of the espressos were single-shot?

Answers

it’s 10% because 10 divided by 100 is 0.1 and then you make it into a percent by moving the decimal to the left two times.

Write an equation for S to N and then graph your equation using the axes below PLEASE HELP

Answers

The equation for S to N will be S = 110N + 1800. Then the graph of the line is given below.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let S be the total sales and N be the number of copies of history books. Then the equation will be

S = 110N + 1800

Then the graph of the line is given below.

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add the following fractions and simplify the answer if possible.on your answer sheet draw and color each scoop of ice cream based on the flavor for each answer.​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Top down, left to right, the sums are ...

1/3 +3/6 = 2/6 +3/6 = 5/6 . . . pink

1 1/5 + 1 2/10 = 1 1/5 + 1 1/5 = (1 +1) +(1/5 +1/5) = 2 2/5 . . . green

2 2/6 +1 2/8 = 2 1/3 +1 1/4 = (2 +1) +(4/12 +3/12) = 3 7/12 . . . violet

1/7 +2/3 = 3/21 +14/21 = 17/21 . . . yellow

2 3/4 +2/6 = 2 9/12 +4/12 = 2 13/12 = 3 1/12 . . . brown

What is the domain of the function y=x-1 ​

Answers

Answer:

All rational numbers or all numbers

Step-by-step explanation:

The function is a linear positive slope equation, which looks like the screenie below. Lines always travel forever, and since it is a linear line with a slope, it will be forever going in both directions.

Domain is the x-values that a function has, while range is the y-values.

Since the domain and range are infinite, it is all real numbers.

Hope this helps!

Edit: forgot the image

I zoomed out 2 million units out so you get what im saying kinda

how many grams are in 50g li

Answers

answer: 50

explanation: 50g is already in grams (g is an abbreviation for gram)

Need the value of X. Thank you!

Answers

Ok let's begin

These are adjacent complementary angles, these two guys together equal 90 degrees.

so we line them up into an equation

5x-18+4x+45 = 90

9x = 90 - 27

9x = 63

x = 7

Hope this helps

What is the probability of picking a green marble and rolling an even number?

Answers

The probability of getting a green marble and rolling an even number is

4/29.

What is defined as the compound events?

A compound event is one that includes more than one sample point.

Compound events are slightly more complicated than simple events. Such events involve the possibility of multiple events occurring concurrently.The probabilities of the both events are multiplied to find compound events.

For the given question, we must multiply the probability of selecting a green marble and going to roll an even number.

The total marbles contained in the jar are;

10 red marbles, 8 green marbles, 5 blue marbles, and 6 white marbles

The formula for probability is;

P(event) = favourable outcome/total outcome

There are six sides to a die/number cube. Each has a 1/6 chance of happening.

There are three even numbers in this situation. The probability of an even number is:

P(even) = 3/6 = 1/2

The probability of selecting the green marble;

P (green marble) = 8/29

We must now determine the likelihood of both events occurring. So multiply both  probabilities to get the following answer:

8/29 × 1/2 = 4/29

The probability of selecting a green marble as well as rolling an even number are 4/29.

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The complete question is-

A jar contains 10 red marbles, 8 green marbles, 5 blue marbles, and 6 white marbles. You also have a number cube. What is the probability of choosing a green marble and rolling an even number?

Answer:21/72 for IXL

Step-by-step explanation:

a female grizzly bear weighs 500 pounds. after hibernating for 6 months, she weighs only 350 pounds. what is the mean monthly change in weight

Answers

First you find how much weight it lost

500 - 350 = 150

Then, to find the mean change you divide the weight lost by the number of months

150 : 6 = 25

25 is the monthly change

Find the exact value of sin-1 √3/2

Answers

Answer:

θ= 60° or 120°Step-by-step explanation: if im wrong im srry

Given that line CD is a perpendicular bisector of triangle ABC, if side AB has a length of 6 and side AC has a length of 12 what is the length of side CD? Write your answer to the
nearest hundredth ie 179.50.

Answers

Using the Pythagorean Theorem, the length of CD, to the nearest hundredth, is: 11.62.

How to Apply the Pythagorean Theorem?

The measure of the longest side of a right triangle when squared will be equal to the sum of the squares of the other smaller sides of the right triangle.

Given the following:

Side AB = 6

Side AC = 12

Based on the perpendicular bisector theorem, AD = 1/2(AB) = 1/2(6) = 3.

Using the Pythagorean theorem, we have:

Length of CD = √(AC² - AD²)

Length of CD = √(12² - 3²)

Length of CD = √(144 - 9)

Length of CD = 11.62

Thus, using the Pythagorean Theorem, the length of CD, to the nearest hundredth, is: 11.62.

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Length of rhombus is 13cm and sum of the lengths of diagonal is 34cm. The area of the rhombus is?

Answers

Answer: 47 centimeters

1.735E-7 square kilometers

Step-by-step explanation:

13cm + 34 cm= 47 cm

A circle of radius = 23.5 or diameter = 47 or circumference = 147.7 centimeters has an area of: 1.735E-7 square kilometers (km²) 0.1735 square meters (m²) 1735 square centimeters (cm²)

(Hope this helps)

Write an equation for the problem and estimate the solution of 5,806 + 7,327 + 1633

Answers

7000( 327 + 439) = 14766 is the equation for the problem and estimated solution is 15000.

What is an equation?

When two expressions have the same value, a statement in mathematics is said to be an equation if it contains the equal sign. Discover the meaning of the term, the concept of variables, and mathematical equation examples.

3 + 3 + 3 + 3 = 12

It can be rewritten as 3 * 4 = 12

These sentences use numbers. A number sentence tells you a mathematical truth by using a string of numbers, mathematical operations, and an equal sign. It's a fundamental piece of information, much like a phrase in a written document.

5,806 + 7,327 + 1633 = 14766 or approx. 15000 approx.

Equation for the problem:-

7,327 + (5,806 +  1633) = 14766

7,327 + 7439 = 14766

7000 + 327 + 7000 + 439 = 14766

7000( 327 + 439) = 14766

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7 is what percent of 8

Answers

Answer:

87.5%

Step-by-step explanation:

.

..

...

....

......

......

....

....

7 is 87.5 percent of 8.

Here, we have,

given that,

7 is what percent of 8

now, let,

x% of 8 is 7.

we know that,

of means multiply

now, we have,

x% of 8 is 7..

=> x% × 8 = 7.

=> x% = 7/8

=> x% = 0.875

=> x = 0.875 * 100

=> x = 87.5

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What can 1/3 be rewritten as?

Answers

Answer:

2/6,

Step-by-step explanation:

it can be rewritten as 0.3 or 2/3

Alguém pode me ajudar???

Answers

Answer: con que cariño?

Step-by-step explanation:

Suppose that fund-raisers at a university call recent graduates to request donations for campus outreach programs. They report the following information for last year's graduates.
Size of donation $0 $10 $25 $50
Proportion of call 0.40 0.30 0.25 0.05
Three attempts were made to contact each graduate. A donation of $0 was recorded both for those who were contacted but who declined to make a donation and for those who were not reached in three attempts. Consider the variable
x = amount
of donation for the population of last year's graduates of this university.
(a) Write a few sentences describing what you think you might see if the value of x was observed for each of 1000 graduates.
You would expect roughly of the graduates to donate nothing, roughly to donate $10, roughly to donate $25, and roughly to donate $50. The frequencies would be close to, but not exactly, these values. The four frequencies would add to .
(b) What is the most common value of x in this population?
$
(c) What is P(x ≥ 25)?
(d) What is P(x > 0)?

Answers

Answer:

Following are the solution to the given points:

Step-by-step explanation:

In point a:

It's also expected that approximately [tex]1000 \times 0.40 =400[/tex] of both, the students contribute zero, approximately [tex]1000 \times 0.30 =300[/tex] to donors $10, approximately [tex]1000 \times 0.25 = 250[/tex] donors $25, and then about [tex]1000 \times 0.05 = 500[/tex] dollars $50 donors. Its frequencies would be similar to and not precisely, the probability. The four levels will stack up to a thousand.

In point b:

It is the population, in which the key value of x is a $0 donation ( 40 percent of students do this).

In point c:

[tex]\to P(X \geq 25) \\\\\to 0.25+0.05 \\\\\to 0.30[/tex]

In point d:

[tex]\to P(X>0)\\\\ \to 1-P(X=0)\\\\ \to 1- 0.40\\\\\to 0.60\\\\[/tex]

Yancey Smith works part-time as a sales assistant. Last week
he earned $240.00. This week he earned $325.00. Yancey is
single and claims 2 allowances. Using the percentage method,
how much more will be withheld this week for federal
income tax?

Answers

The required amount to be held this week for federal tax is $12.75.
               

Here,
Last week's earnings = $240
Difference with marked amount = $240 - $195 = $45
This comes under type 2
So tax = 14 + 15% of 45
   tax = 14.40 + 6.75
   tax = $21.15

This week's earnings = $325
The difference with marked amount = $325 - $195 = 130
Tax = 14 + 15% of 130
Tax = 14.40 + 19.5
Tax = 33.9
the amount held this week = 33.9 - 21.15
                                         = $12.75

Thus, the required amount to be held this week for federal tax is $12.75.

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Find six rational numbers between 3/5 and 3/4

Answers

Answer:

six rational number are

3/5 × 4= 12/20

3/4 ×5 =15/20

we have to find six rational number between 12/20 and 15/20, so we have to multiply numerator and denominator by 7

12×7= 84

20×7=140

15/20×7=105/140

85 ,86 , 87 ,88 89 90

140, 140, 140, 140, 140 ,140

Answer:

[tex]\sf \dfrac{121}{200} \ ; \ \dfrac{122}{200} \ ; \ \dfrac{123}{200} \ ; \ \dfrac{124}{200} \ ; \ \dfrac{125}{200} \ ; \ \dfrac{126}{200}[/tex]

Step-by-step explanation:

To find six rational numbers between the given numbers,

Check if both rational numbers have the same denominator. If not find the LCM of the denominators.

         LCM of 5 and 4 is 20.

Find equivalent fractions using the LCM.

            [tex]\sf \dfrac{3}{5}=\dfrac{3*4}{5*4}=\dfrac{12}{20}\\\\\\\dfrac{3}{4}=\dfrac{3*5}{4*5}=\dfrac{15}{20}[/tex]

Now, multiply numerator and the denominator of each of the rational number by 10

            [tex]\sf \dfrac{12*10}{20*10}=\dfrac{120}{200}\\\\\dfrac{15*10}{20*10}=\dfrac{150}{200}[/tex]

[tex]\sf \text{six rational numbers between} \ \dfrac{3}{5} \ and \ \dfrac{3}{4}\ are :[/tex]

       [tex]\sf \dfrac{121}{200} \ ; \ \dfrac{122}{200} \ ; \ \dfrac{123}{200} \ ; \ \dfrac{124}{200} \ ; \ \dfrac{125}{200} \ ; \ \dfrac{126}{200}[/tex]

What it the value of the digit in the ones place in each numbers? 431

Answers

Answer: 1

Step-by-step explanation:

The ones place is the place furthest to the right before the decimal. In this case, the decimal is implied because 431 is a whole number. 431 can also be written as 431.0 which more clearly shows this.

The ones place contains the value 1.

In case you need it later,

The tens place is 3 and the hundreds place is 4.

Factor 105^2-8^2 into two prime factors. List your answer in descending numerical order. 105^2-8^2= ( ) ( )

Answers

Answer:

the two prime factors is (113) (97)

Step-by-step explanation:

The computation of the two prime factors is  is shown below:

The given expression is

105^2 - 8^2

Here we used the formula i.e.

a^2 - b^2 = (a + b) (a - b)

where,

a = 105

b = 8

Now

= (105 + 8) (105 - 8)

= (113) (97)

Hence, the two prime factors in descending order is (113) (97)

If you add two to twice a number, the result is twelve. What is the number?

Answers

The unknown number will be 5 if we add two to twice a number, the result is twelve.

Let the unknown number be x.

Then the twice of the known number be 2x.

According to the given question.

If we add two to twice a unknown number, the result is twelve.

So, from the given scenario we can say that

2 + 2x = 12

Now we have a linear equation in one variable 2 + 2x = 12 and we have to solve it for x which gives us the unknown number.

Therefore,

2 + 2x = 12

⇒ 2x = 12 - 2   (subtracting 2 from both the sides)

⇒ 2x = 10

⇒ x = 10/2

⇒ x = 5

Hence, the unknown number will be 5 if we add two to twice a number, the result is twelve.

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HELP! will give brainliest ONLY if correct. 50 POINTS!!

Identify the type of function graphed to the right.

O linear
O exponential
O other

For an increase of 1 in the x-value, what is the increase in the y-value?

Answers

Answer:

A

Step-by-step explanation:

Answer:

The first part is Linear and 2. The second part is exponential and 3.

Step-by-step explanation:

The first graph is linear and they are asking for "2" in the bottom answer box because it grows by 2 every time.

The second graph is exponential growth and they are asking for "3" in the bottom box.

Have a terrific day, Hope this helps!!


Kareem is flying two kites. He has 104 feet of string out to one kite and 120 feet out to the other kite. The angle formed by the two strings is 36° as shown in
the figure below. Find the distance between the kites.
120
104
36 degrees
Carry your intermediate computations to at least four decimal places.
Round your answer to the nearest tenth of a foot.
Submit Assignment
Type here to search
O
BI
2020 McGraw Education. All Rights Reserved. Terms of Use | Pracy i Accent
11:10 PM
12/11/2020
DEL

Answers

Answer: Manuel is flying two kites. He has

102

feet of string out to one kite and

111

feet out to the other kite. The angle between the strings is

36°

as shown in the figure below. Find the distance between the kites

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