Multiply as indicated. Write the product in standard form.
(2+i)^2

Answers

Answer 1

Answer:

3 + 4i

Step-by-step explanation:


Related Questions

Please help me please help meeee please

Answers

Answer:

The answer is D

Step-by-step explanation:

What is the value of s?

Answers

Answer:

17

Step-by-step explanation:

It's a right triangle so you use the Pythagorean Theorem

[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]

a and b are the sides and c is always the hypoteneuse, which is the longest side and opposite from the right angle

so [tex]8^{2}[/tex]+[tex]15^{2}[/tex]=[tex]c^{2}[/tex]

64+225=[tex]c{2}[/tex]

289=[tex]c^{2}[/tex]  take the square root of both sides to get rid of the squared

[tex]\sqrt{289}[/tex]=c

c=17

If 2 gallons of milk cost $8.00, how much is 1 quart of milk?

Answers

Answer to question

Would be $4

the value of y varies directly with X. Which function represents the relationship between X and Y if y equals 15/6 when x equals 20​

Answers

Answer:

y = (1/8)x

Step-by-step explanation:

The relevant basic formula is y = kx, where k is the constant of proportionality.

We must find k.  To do this, let y = 15/6 and x = 20 in the above formula:

15/6 = k(20)

We solve for k by dividing both sides by 20:  15/(6*20) = k = 1/8

Then the specific formula for this situation is y = (1/8)x

What is 66% of 350? helpp​

Answers

Answer:

231

Step-by-step explanation:

Answer:

Write 66% as  

66/100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

66/100

of 350 =  

66/100× 350

 

Therefore, the answer is 231

If you are using a calculator, simply enter 66÷100×350 which will give you 231 as the answer.

Step-by-step explanation:

Four times a number, increased by 10, is -2
what is the number?

Answers

Answer:

-3

Step-by-step explanation:

-3 × 4 = -12

-12 + 10 = -2

when graphed the first equation in a system of equations is shown here. The equations below are options for the second equation. which of these options would create a system of equations that has NO SOLUTION select all that apply

Answers

A and B I think are the correct answers

does the right riemann sum underestimate or overestimate

Answers

That depends on the function in question.

If f(x) is integrable and non-decreasing, then the right Riemann sum overestimates the integral of f.

If f is non-increasing, the right Riemann sum underestimates the integral.

What is 2 2/3×3 1/4 as a fraction form

Answers

the fraction form is 26/3 or 8 2/3

A line goes through the points (5, -1) and (7, -5). What is a possible equation to a new line that is perpendicular?

Answers

Step-by-step explanation:Equation of line perpendicular to , x=4 is

y +k=0

As, keep in mind , the equation of line perpendicular to , ax + by +c=0 is b x - a y +c=0

As, given the line perpendicular to, x =4, passes through the point (5,7).

So, y+k =0, passes through (5,7).

→ 7 +k=0

→ k= -7

So, line perpendicular to x=4, which passes through the point (5,7) is →y-7=0 that is y=7.

If f is an always positive, differentiable function and y = ln(f(sin x)), what is y’ when x=4 ?

Answers

Answer:

cos(4) f'(sin 4)/f(sin 4) is y' at x=4

Step-by-step explanation:

We can't actually find the numerical value for this without more information.

We are given:

y=ln(f(sin x))

This is equivalent to

e^y=f(sin x)

Differentiate both sides:

y' e^y=cos(x) f'(sin x)

Divide both sides by e^y:

y' =cos(x) f'(sin x)/e^y

Rewrite in terms of x using that e^y=f(sin x):

y' =cos(x) f'(sin x)/f(sin x)

Now replace x with 4:

cos(4) f'(sin 4)/f(sin 4) is y' at x=4

Equations and Inequalities: Tutorial
Each year, the junior class at East High School sells discount cards as a fundraiser. Each $20 discount card is valid for a year
and provides discounts at many area businesses.
This year's juniors are analyzing the revenue, or earnings, from past years and this year. If n represents the number of cards
that students sold last year, match each algebraic expression to what it represents.
Drag the tiles to the correct boxes. Not all tiles will be used.
Tiles
20n
n + 200
20n + 200
20(n + 200)
200n
Pairs
revenue from last year
number of cards sold this year if students sell 200 more cards than last year
revenue this year if students sell 200 more cards than last year

Answers

Answer: revenue from last year 20n

number of cards sold this year if students sell 200 more cards than last year n + 200

revenue this year if student sell 200 more cards than last year 20(n + 200)

Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The given pairs can be matched as shown below.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given that n represents the number of cards that students sold last year. Also, it is given that each card is sold for $20. Therefore, the given pairs can be matched as shown below.

1.) Revenue from last year

Revenue = Number of tickets sold last year × Cost of each ticket

               = n × $20

               = 20n

2.) Number of cards sold this year if students sell 200 more cards than last year

Number of cards sold this year = Number of tickets sold last year + 200

                                                    = n + 200

3.) Revenue this year if students sell 200 more cards than last year

Revenue this year = Number of cards sold this year × Cost of each ticket

                               = (n + 200) × 20

                               = 20(n+200)

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ2

Evaluate the expression for a = -13.

Answers

Answer: -4

Step-by-step explanation: (9)+(-13)                                                                         9+−13                                                                                                                           9−13                                                                                                                           −4                                                                            

What is the perimeter of PQR? Show your work.​

Answers

Perimeter of triangle x 5/3 to get a answer which should be 75

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x - 5)?
-
o
-5
-4
-3
-1
0
1
2
3
4
5
f
.
-5
-4
-3
-2.
-1
o
3
o
1
2
4
5
+
+
-4
-5
-3
-2
-1
+
1
o
+
2.
+
3
+
4
5
Ол
O
3
-5
-4
-3
-2
-1
o
1
2.
3
4
5

Answers

Answer:

3 8-4× less than 6 ×-5 and then you solve the equation

Please answer ASAP!! And not just for points..thank ya:)

Answers

Answer:

It should be 24

Step-by-step explanation:

Sorry if this is wrong

Step-by-step explanation:

Separate it into 2 figures.

the first figure would be 3 m tall and 8 m wide. The second figure would be 5 m tall and 4 m wide.

3 × 8 = 24

5 × 4 = 20

20 + 24 = 44

The area of the figure is 44 square meters.

What is the output of y= 2/3x −4 when the input is 18?

Answers

Answer:

output = 8

Step-by-step explanation:

1. To solve for the output of the equation, we plug in the value of the input, 18, and simplify.

Keep in mind that the input is x, and the output is y.

2. (Solving)

[tex]y=\frac{2}{3}(18)-4[/tex] [tex]y = \frac{36}{3}-4[/tex] [tex]y = 12 - 4[/tex] [tex]y = 8[/tex]

Therefore, the output is 8.

An equation is formed when two equal expressions. The output of y= 2/3x −4 when the input is 18 is 8.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The output of y= (2/3)x −4 when the input is 18 are,

y = (2/3)x - 4

y = (2/3)18 - 4

y = 12 - 4

y = 8

Hence, the output of y= 2/3x −4 when the input is 18 is 8.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ2

PLS HELP ASAP ILL GIVE BRAINLKEST PLS ANSWER ITS FOR TOMORROW TEST PLSSS THANKS

Answers

A number "n" is a minimum of 6 .

n is greater than (>) or equal to (=) 6 .

n can be 6 or more.

10a) Beatrice has an income of
$40 000 in one year.
She pays no tax on the first
$10 000 of her income;
10% tax on the next $10 000 of her income;
25% tax on the rest of her income.

Calculate:
a) the total amount of tax Beatrice pays,

b)the total amount of tax as a percentage of the $40 000.

10b) Beatrice pays a yearly rent of $10 800.
After she has paid her tax, rent and bills, she has $12 000.
Calculate how much Beatrice spends on bills.

Answers

Answer:

  a) $6000 tax

  b) 15%

  c) $11,200 for bills

Step-by-step explanation:

a)

Beatrice pays 10% on the second $10,000 of her income, which is ...

  0.10×$10,000 = $1000

and she pays 25% on the amount over $20,000, which tax is ...

  0.25×($40,000 -20,000) = $5000

The total amount of tax Beatrice pays on her $40,000 income is ...

  $1000 +5000 = $6000 . . . . tax on $40,000

__

b)

The tax as a percentage of $40,000 is ...

  $6,000/$40,000 × 100% = 15% . . . . percentage of income paid in tax

__

c)

The amount left after tax, rent, and bills is ...

  $40,000 -tax -rent -bills = $12,000

  bills = $28,000 -tax -rent

  bills = $28,000 -6,000 -10,800 = $11,200

Beatrice spends $11,200 on bills.

help please i need help

Answers

Answer:

what do you need help on with this and maybe i can help....

Step-by-step explanation:

Which statement about the lines below is true?
4y = -16 and 3x = 27
Select all that apply.
A Line 4y = -16 is horizontal.
B. Line 3x = 27 is vertical.
O
C. For both lines, all points on the line have an x- and a y-coordinate.
D. For either line, one of the coordinates of all the points is always the same value.

Answers

Answer:

All these statements are true.  See explanations, below.

Step-by-step explanation:

A Line 4y = -16 is horizontal.  TRUE.  Note that y = -4 here.

B. Line 3x = 27 is vertical.  TRUE.  Note that x = 9, which is a vertical line.  

C. For both lines, all points on the line have an x- and a y-coordinate.  TRUE.  But for 4y = -16, the y-coordinate is always the same:  -4; for x = 9, the x-coordinate is always the same.

D. For either line, one of the coordinates of all the points is always the same value.  TRUE (See C above)

A ball is thrown in the air from ground level. The height of the ball in meters at time t seconds is given by the function [tex]\sf h(t)=-4.9t^2+30t.[/tex]. At what times does the ball hit the ground? ( be sure to use proper units!)

please, show your work!
Thank you!

Answers

Answer:

t = 6.15 seconds

Step-by-step explanation:

A ball is thrown upward with an initial velocity of 35 meters per second from a cliff that is 30 meters high. The height of the ball is given by the quadratic equation h=-4.9t^2+35t+30 where h is in meters and t in the time in seconds since the ball was thrown, find the time it takes the ball to hit the ground. Round you answer to the nearest tenth of a second.

-----------------

h(t) =-4.9t^2+35t+30

----

When the ball hits the ground its height is zero.

So, solve -4.9t^2+35t+30 = 0

Use the quadratic formula:

t = [-35 +- sqrt(35^2-4*-4.9*30)]/(2(-4.9))

----

t = [-35 +- sqrt(637)]/(-9.8)

---

To get a positive solution:

t = [-35-25.24]/(-9.8)

t = 6.15 seconds

========================

Answer:

The ball hits the ground when h(t) (the height) is equal to 0.

0=-4.9t^2+30t

0=t(-4.9t+30)

t=0 and t=6.1224…

So, the ball hits the ground when it is thrown (0 seconds) and after about 6.1224 seconds.

:)

every summand of an expression is called a???

Answers

Answer:

I think it's called a term.

Hope this helps :)

what is the x intercept?

Answers

Answerrrrrrrrrr:

- 7/6

4 * 4 * 4 * 5 * 5
help please

Answers

Answer:

=1600

Step-by-step explanation:

=4*4*4*5*5

=16*4*25

=64*25

=1600

Hope this helps, have a nice day/night! :D

ANSWER ASAP PLEASE!!!!!
What is the domain of the square root function graphed below?
A. x is less than or equal to -1
B. x is greater than or equal to -1
C. x is less than or equal to 0
D. x is greater than or equal to 0

Answers

Answer:

Step-by-step explanation:

A. If you need proof message me.

Answer:

D

Step-by-step explanation:

its correct

Find the sum: -1 + 4 + 9 + ... + 64

Answers

Answer:

= 78

Step-by-step explanation:

Step One:

1 + 4= 5

Step Two:

5+9= 14

Step Three:

14+64= 78

= 78

Hope it helps :)

Answer: 441

Step-by-step explanation:

The formula for an arithmetic sum is

[tex]$\frac{\text{number of terms}}2 \cdot (\text{first term + last term})$[/tex]

We know that the [tex]\text{first term + last term} = -1 + 64 = 63[/tex]. So now all we need is the [tex]\text{number of terms}[/tex]. Well, if you draw each number onto the number line, you get something like

---|------|------|------|------|------|-----|------|-----|------|-----|------|-------|----------

 -1      0      1      2      3     4     5     6     7     8     9     10     11  ...

You can see that your numbers are spaced 5 apart, and they go from -1 all the way up to 64. So what you're really asking is, "how many segments of five can I draw from -1 up to 64?" The length of the line from -1 to 64 is 65 (think about it), so the number of line segments is 65/5 = 13. However, we didn't count 64 itself, since there's no line segment past it! So really there are 14 terms in this sequence. Thus the total sum is

[tex]$\frac {14}2 \cdot (63) = \boxed{441}.$[/tex]

Q.10). ABC is a triangle right angled at C. A line through mid point M of hypotenuse AB and parallel to BC intersects AC at D.
Show that:
(I) D is the mid point of AC.
(ii) MD ⏊ AC.
(iii) CM = MA = 1/2 AB​

Answers

Answer:

In attachment I have answered this problem.↑↑

Hope this helps.

If you have any doubt, then you can ask me in the comments.

HELP MEEEEEEEE PLEASE

Answers

Answer:

Option A (3/4)

Step-by-step explanation:

Please mark Brainliest

Answer:

THATS CORREC T

Step-by-step explanation:

CAUSE A IS THE RIGHT ONE THE REST BIS WRONG BUT IT CAN E CONFUSING

(100,160), (500,680) in slope intercept form

Answers

Answer:

520/400

so y = 520/400 + b

Step-by-step explanation:

Other Questions
A clasping handshake may be used as an analogy for an enzyme-catalyzed reaction because it represents the specific manner in which an enzyme ________. folds to form secondary and tertiary structures interacts with water binds substrate is denatured by low pH Which of the following types of information is usually included in a letter to the editor?where the writer livesO how the writer voted in the last electionwhat other newspapers the writer readswhere the writer grew upA123456780)10 What city was the March to the Sea headed towards?SavannahColumbusAtlantaChickamauga Mrs. Burns purchased 12 ears of corn for $5.76. What is the price per ear of corn? your Journal EntryThe national debt seems to have a life of its own independent of human control,What are the implications of the national debt on public policy and how should we weigh the dangers that debt might pose? What was one effect of Japans transition to capitalism?Industrialization created high-paying jobs and increased workers rights. The expanding economy led to a decrease in the middle-class population.High taxes slowed farm productivity and caused many farmers to lose their land. The economy shifted from a focus on manufacturing to a focus on farming. True or False:Rachel used 12 centimeters of tape to wrap 3presents.Her unit rate is 12.Select one:TrueO FalseCheckNo links. A 1.1 kg ball drops vertically onto a floor, hitting with a speed of 23 m/s. It rebounds with an initial speed of 5.0 m/s. (a) What impulse acts on the ball during the contact Yo he escuchado que el papa de Luis Ramos es un Juez justoCan it also be said without using la palabra, "un" ? which is colder 0 C or 32 F Why was Benjamin Franklin nickname the first american HURRY !! Give brainlest !!! The _[blank]. Act gave the Interstate Commerce Commission the authority to regulate railroad faresand inspect the financial records of railroad companies. A scientist tracks wolf populations in two parks. One population consists of 20 wolves and is increasing by an average of 2 per year. The other consists of 15 wolves and is increasing by an average of 3 per year. Write an equation that can be used to determine how many years, y, it will take for the two populations to be equal. The band that looks like milk in the night sky isn't actually milk, of courseit's a galaxy. A galaxy is a huge cluster of stars, dust, gas, and other objects bound together in space. Our Solar System, which includes the sun, Earth, and other planets, is part of the Milky Way galaxy. The Milky Way is about 14 billion years old. Almost 10 billion years older than our Solar System!It took many years to discover the Milky Way. In the early 1500s, Nicolaus Copernicus was the first to show that Earth was an object orbiting the Sun. In the early 1600s, Galileo Galilei used a basic telescope to show that the Milky Way was made up of countless stars. Then, in the late 1700s, William Herschel tried to map out the shape of the Milky Way. He did not realize that large portions of the galaxy were hidden by gas and dust, so he could not identify the true shape. Edwin Hubble had access to many powerful telescopes and tools to observe more objects in space. His work provided evidence that the Milky Way was only one of many galaxies in the universe. He also identified the spiral shape of our galaxy.Why was Herschel unable to correctly map out the shape of the Milky Way? He couldn't calculate the actual age of the Milky Way galaxy. He couldn't see through the Milky Way's gas and dust particles. He didn't know that the Earth and sun are part of the galaxy. He didn't know that the Milky Way was made up of many stars. Help me urgently i have to submit a t today Rock candy is composed of large sugar crystals, which are made of sugar molecules. Growing the crystals in water with food dyes makes colored crystals. A friend has a plan to make jewelry using rock candy and claims that the jewelry will look like and last as long as jewelry made from gemstones. Use evidence about the bonding in ionic and molecular compounds to evaluate this claim. Freedom of speech may be limited during times of war.TrueFalse Write 49 as a product of primes Circle the word (A, B, C, or D) that is stressed differently from the others. 1. A. imposeB. valueC. behaveD. accept2. A. romanticB. culturalC. potentialD. decisive Which statements best describe the role of glucagon and insulin in this scenario