Multiply (2 – 7i)(9 + 5i)

Answers

Answer 1
Final answer:

To multiply complex numbers, use the distributive property and combine like terms.

Explanation:

To multiply (2 - 7i)(9 + 5i), you can use the distributive property. Multiply the first terms, then multiply the outer terms, the inner terms, and finally the last terms. Then combine the like terms and simplify.

(2 - 7i)(9 + 5i) = 2 * 9 + 2 * 5i - 7i * 9 - 7i * 5i

= 18 + 10i - 63i - 35i²

= 18 + 10i - 63i + 35

= 53 - 53i

So, (2 - 7i)(9 + 5i) = 53 - 53i


Related Questions

24 students will be divided into 4 equal-sized teams. Each student will count off, beginning with the number 1 as the first team. If Nate is the 11th student to count off, to which team number will he be assigned?

Answers

1    2    3    4
5    6    7    8
9    10  11  12

team 3

At 6:00 a.m., the outside temperature was –14.4⁰. By noon, the outside temperature had dropped 8.1⁰. What was the outside temperature at noon? 6.3⁰ –6.3⁰ 22.5⁰ –22.5⁰

Answers

-14.4 - 8.1 = - 22.5

The outside temperature at noon is - 22.5 degrees
The answer is -22.5. All you do is subtract 8.1 from -14.4. It is really easy
 -14.4
-  8.1
---------
-22.5

Bonds issued by Raxin Accounting have a total yield of 11.4% annually, while Raxin Accounting stocks have a total yield of 14.4% annually. If you invest $2,600 in Raxin Accounting bonds and $2,000 in Raxin Accounting stocks, which investment will have a greater return after nine years, and how much greater will it be

Answers

Answer:

A. in edge

Step-by-step explanation:

$75.69

Final answer:

After nine years, investing $2,600 in Raxin Accounting bonds will yield a greater return than investing $2,000 in their stocks, specifically $579.30 more due to the effect of compound interest.

Explanation:

If you invest $2,600 in Raxin Accounting bonds with a total yield of 11.4% annually and $2,000 in Raxin Accounting stocks with a total yield of 14.4% annually, we can calculate the future value of both investments after nine years using the formula for compound interest: Future Value = Principal × (1 + rate)^time.

For bonds: Future Value = $2,600 × (1 + 0.114)^9 = $2,600 × 2.7845 = $7,239.70

For stocks: Future Value = $2,000 × (1 + 0.144)^9 = $2,000 × 3.3302 = $6,660.40

Comparing the future values, the investment in Raxin Accounting bonds will yield a greater return after nine years, specifically $579.30 more than the investment in stocks.

Identify the lateral area and surface area of a regular triangular pyramid with base edge length 14 cm and slant height 15 cm.

I already have the lateral area figured out (315), I don't understand how to get the surface area. XP I always get it wrong.

Answers

Answer:

315 cm<2 399.9 cm<2

Step-by-step explanation:

Answer:

L = 315 cm2 ; S = 399.9 cm2

Step-by-step explanation:

Lucky guess on my quiz!

A movie ticket costs $9.75. two years ago, a movie ticket cost $7.50. by how many dollars has the price of a movie ticket increased?
a. $17.25
b. $16.75
c. $2.75
d. $2.25

Answers

I think d. $2.25 is correct?
D. 2.25 Movie proces keep going up. Sadly. Soon it will be 20.00 a ticket.

x ^{sqrt{logx}}=10^{8} ...?

Answers

[tex]x ^{\sqrt{\log{x}}}=10^{8} \\ \\ \log{x ^{\sqrt{\log{x}}}}=\log{10^{8}} \\ \\ \sqrt{\log{x}}\log{x}=8\log{10} \\ \\ \log{x}=t \\ \\ \sqrt{t} \times t=8 \\ \\t^{\frac{3}{2}}=2^3 \\ \\ ( \sqrt{t} )^3=2^3 \\ \\ \sqrt{t} =2 \\ \\ (\sqrt{t})^2 =2^2 \\ \\ t=4[/tex]

[tex]\log{x}=4 \\ \\ 10^{\log{x}}=10^4 \\ \\ x=10^4[/tex]

Simplify: 4xy + 3x2y - 5xy - 8xy

Answers

-3xy 
Im pretty sure this is right.
4xy + 3x2y - 5xy - 8xy collect the like terms
4xy-5xy-8xy+3x2y
4xy-13xy+3x2y
-9xy+3x2y

If CDFG is a kite, find the measure of Angle D.

a. 124
b. 120
c. 118
d. 122

Answers

Well, according to the attached picture,  angle D is equal to angle G, which means that :
 [tex]G + D + C+ F = 360 D + D + C + F = 360 2D + C+ F = 360[/tex]
After this, you can easily plug and solve the ones you have, and the answer will be 244/2 =
122.
So, the correct option is D
Final answer:

Without additional details about the kite CDFG, such as angle measures or side lengths, it is impossible to provide an exact measure for Angle D.

Explanation:

The question asks to find the measure of angle D in a kite named CDFG. Without additional information such as angle measures or side lengths, it is impossible to determine the exact measure of Angle D. However, we know in a kite, there are two pairs of adjacent sides that are equal, and one pair of opposite angles (the angles between the unequal sides) are equal. Typically, the diagonals of a kite are perpendicular, and one of the diagonals bisects the other. This information still does not provide enough context to solve for the measure of angle D without more specific details about the lengths of the sides or measures of other angles.

Shannon has a recipe for fruit punch that makes 12 quarts of punch. how many 3/4 quart servings will the recipe make

Answers

The answer is 16 - 3/4 quarts servings.

Solve this equation
p+2=-6

Answers

P+2=-6
minus 2 on both sides
P=-8
^^^is your answer, hope this helps!
You can do -6-2 and get -8
To double check substitute -8 to p and get -6

What is 125 in exponential form?

Answers

Number = 125
Here, ∛125 = 5
so, in exponential form, it would be: 5³

So, your final answer is 5³

Hope this helps!

If carmen ran 2 miles and melanie ran 4 miles, who ran farther?

Answers

Melanie, because 4 > 2.
melanie ran more as 4 is larger than 2.

hope this helps you

How to solve -13=5(1 4m)-2m?

Answers

First, you would multiply: -13 = 70m - 2m. Then, you subtract the like terms, which would be 70m - 2m: -13 = 68m. You are looking for what m is, so you would divide 68 on both sides: m = - 13 / 68. In math, people would usually like fractions more than decimals, but if you are looking for the decimal number, it would be m ≈ - 0.19.

The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greater integer, which system of inequalities could represent the values of a and b?
A. a + b ≥ 30 b ≥ a + 10
B.a + b ≥ 30 b ≤ a – 10
c. a + b ≤ 30 b ≥ a + 10
D. a + b ≤ 30 b ≤ a – 10

Answers

I hope this helps you

Option A, with inequalities a + b ≥ 30 and b ≥ a + 10, correctly describes these conditions.

We are given that the sum of two positive integers, a and b, where b is greater, is at least 30, which can be represented as a + b ≥ 30.

The difference between the two integers is also at least 10, and since b is the greater integer, this relationship is given by b - a ≥ 10.

The correct system of inequalities that represents these conditions is Option A:
a + b ≥ 30
b ≥ a + 10

Option B is incorrect because it suggests b is less than or equal to a - 10, which doesn't make sense in this context since b is the greater integer.

Options C and D are incorrect because they suggest that the sum of a and b is less than or equal to 30, which contradicts the given that the sum is at least 30.

16 more than eight of a certain number is twenty four more than 6 times of thatnumber.

Answers

We can write this in algebraic terms as:
16+8x = 24+6x
so
2x = 8
x = 4
The number is 4.

How do i find the area between the two curves

Answers

A=22/10

A=integral(a,b) [f(x)-g(x)]dx

Since the function is even (the function is mirrored over the y axis) we can evaluate the integral from 0 to 1 and then multiply our answer by 2 since we have the same area on each side of the y axis.

We get A=2*int.(0, 1)[(x^2)-(-2x^4)]dx

Now we can integrate by term.

2*[int.(0, 1)[x^2]dx+int(0, 1)[2x^4]dx]

Now factor out constants.

2*[int(0,1)[x^2]dx+2int(0,1)[x^4]dx]

Now integrate.

2*[(x^3/3)|(0,1) + 2*(x^5/5)|(0,1)]

Now solve.

2*[(1/3)+2*(1/5)]

=22/10

Hope you can decipher what I wrote!

Final answer:

To find the area between two curves, calculate the definite integral of the difference between the two functions over the interval of interest.

Explanation:

To find the area between two curves, you need to calculate the definite integral of the difference between the two functions over the interval of interest. Let's say the two curves are f(x) and g(x), and you want to find the area between them from x = a to x = b. You can write the integral as follows:

Area = ∫(f(x) - g(x)) dx from a to b

Then you can evaluate this integral using integration techniques, such as u-substitution or integration by parts, to find the area between the two curves.

The following scatter plot shows the billions of dollars spent by travelers in the United States since 1993.

Write an equation for the line of best fit and then predict how much money travelers will spend in 2008.

A.y=2x+380 travelers will spend about $410 billion in the year 2008.

B.y=2x+320 travelers will spend about $350 billion in the year 2008.

C.y=20x+320 travelers will spend about $620 billion in the year 2008.

D.y=20x+380 travelers will spend about $680 billion in the year 2008.

Answers

Answer:

C

Step-by-step explanation:

In the situation, simple interest is calculated yearly. How much interest was earned?
Principal: $12,000; Time: 3 years; Interest rate: 15%; Interest: ?
A$1800
B$5400
C$12,000
D$17,400
E$36,000

Answers

B is the answer, 5,400 is the interest
12,000×3×0.15 =5,400 ......... ........

Whats the value of 6 5 x 22 - 9 ÷ 3?

Answers

The answer is 1,427.
Hope it helps!

65 x 22 - 9 ÷ 3 = 1430 - 3 = 1427


The list of a certain tool is x dollars. In store A the original selling price of the tool was $50 less than the list price, and the current selling price is 10% less than the original selling price. In store B the original selling price of the tool was 10% less than the list price, and the current selling price is $50 less than the original selling price.

A) Quality A is greater
B) Quality B is greater
C) The two quantities are equal

Answers

In my opinion quality of A is greater.

To compare the selling prices in store A and store B for the tool described:

Let's denote the list price of the tool as x dollars.

In Store A:

- Original selling price = List price - $50

- Current selling price = 90% of the original selling price

In Store B:

- Original selling price = 90% of the list price

- Current selling price = Original selling price - $50

Now, we can calculate the selling prices for both stores and compare:

For Store A:

Original selling price in Store A = x - 50

Current selling price in Store A = 0.9(x - 50)

For Store B:

Original selling price in Store B = 0.9x

Current selling price in Store B = 0.9x - 50

To determine which quantity is greater, we need to compare the expressions for the current selling prices in both stores. We will simplify the expressions to make the comparison easier.

Store A:

0.9(x - 50) = 0.9x - 45

Store B:

0.9x - 50

Comparing the simplified expressions, we see that:

0.9x - 45 is greater than 0.9x - 50

Therefore, Store A has a greater current selling price for the tool compared to Store B.

So, the correct answer is:

A) Quality A is greater.

Name an angle complementary to A B C D

Answers

An angle complementary to angle BOC is angle AOE. Complementary angles total to 90 degrees.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

How much of the circle is shaded? Write your answer as a fraction in simplest form.

Answers

I hope this helps you

Answer:

[tex]13/28[/tex]

Step-by-step explanation:

Let

x-----> the shaded area

we know that

[tex]x+\frac{1}{4}+\frac{2}{7}=1[/tex]

Because the complete circle represent the [tex]100\%[/tex]

and

[tex]100\%=100/100=1[/tex]

solve for x

Multiply by [tex]28[/tex] both sides

[tex]28x+7+8=28[/tex]

[tex]28x=28-15[/tex]

[tex]28x=13[/tex]

Divide by [tex]28[/tex] both sides

[tex]x=13/28[/tex] ----> fraction irreducible



Translate the phrase into a math expression.twenty divided by the sum of 4 and 1.

Answers

The answer is
20/(4+1) = 20/5 = 4

I'm studying for a test, and I can't seem to remember how to find missing coordinates. Here's one example of the question,

Fill in the other coordinate for the line 3x-5y=2 (2,) I need to find Y. I thought that my answer was 4/5 (4over5) I did, 3 times 2, (6) -6 on both sides, so then I had -5y = -4. So I divided both by 5. . . But that doesn't sound right to me! Anyone know what I'm doing wrong? Or right? Thanks!

Here's another one by the way . . Y = 3x + 2 (1,)

Answers

Usually, we use the slope formula to find the slope of a line when we know two points on the line. But if we already know the slope of a line, we can use the slope formula to find a missing coordinate of a point on the line.

What is the product for 38 and 40 in math?

Answers

38 * 40 = 1520

hope that helps:))
Product of 38 & 40 is equal to 1520

So, your answer is 1520

How do I write an equation for: 7, 7.5, 7.75, 7.875, ...? Do I use the geometric sequence formula or recursion formula? Please help! ...?

Answers

The solution to the problem is as follows:

Take the differences to look for a pattern. 


7.875 - 7.75 = 0.125 

7.75 - 7.5 = 0.25 

7.5 - 7 = 0.50 

It should be apparent that it is half the previous difference so 

next in sequence will be 7.875 + (0.125 / 2) which is 7.9375


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

The function for the cost of materials to make a hat is f(x) = one half x + 1, where x is the number of hats. The function for the selling price of those hats is g(f(x)), where g(x) = x + 2. Find the selling price of 10 hats. A. 6 b. 8 c. 10 d. 12

Answers

Final answer:

The selling price for 10 hats, calculated by applying the cost function f(x) to find the cost and then the selling price function g(x), is $8.

Explanation:

The selling price of 10 hats can be found by first calculating the cost of materials to make those hats using the function f(x) = 0.5x + 1, and then applying the g(f(x)) function to find the selling price, where g(x) = x + 2.

First, we calculate the cost for making 10 hats:
f(10) = 0.5  imes 10 + 1 = 5 + 1 = 6.

Now, we use the selling price function g to calculate the selling price for 10 hats:
g(f(10)) = g(6) = 6 + 2 = 8.

Therefore, the selling price for 10 hats is $8.

Decrease £248 by 30 percent

Answers

173.60 pounds in english pounds
100-30=70
decreased by 30% means 70% of it

70% of 248=0.7 times 248=173.6

it is £173.6

Which expression is a factor of 2xy + 6x – 3y – 9?
2x – 3
2y + 3
x – 2
y – 3
...?

Answers

Answer:

(2x-3) is the answer.

Step-by-step explanation:

The given expression is :

[tex]2xy+6x-3y-9[/tex]

Grouping these terms we get-

[tex]2x(y+3)-3(y+3)[/tex]

So, the factors are :

[tex](2x-3)(y+3)[/tex]

Hence, out of the given options (2x-3) is the answer.

And he other factor is (y+3) that is not mentioned in the options.

Final answer:

The factor of the expression 2xy + 6x - 3y - 9 is 2x - 3, which is found by factoring the expression by grouping.

Explanation:

The expression given is 2xy + 6x − 3y − 9. To determine which expression is a factor of it, we can attempt factoring by grouping. Grouping the terms as (2xy + 6x) and (− 3y − 9) and factoring out the common factors from each group gives us:

2x(y + 3)−3(y + 3)

We can see that (y + 3) is a common factor between the two groups. Factoring this out, we get:

(2x − 3)(y + 3)

This shows that 2x − 3 is a factor of the given expression.

Name the ordered pair that point b represents in the graph

Answers

(x,y) (2,1)
the x variable is right two and the y variable is up one 

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