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

Answers

Answer 1

Answer:

3 + 4i

Step-by-step explanation:


Related Questions

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

Answers

Answer to question

Would be $4

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.

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

Answers

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

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

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

what is the x intercept?

Answers

Answerrrrrrrrrr:

- 7/6

help please i need help

Answers

Answer:

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

Step-by-step explanation:

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.

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:

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

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

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

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

Answers

Answer:

520/400

so y = 520/400 + b

Step-by-step explanation:

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

Please help me please help meeee please

Answers

Answer:

The answer is D

Step-by-step explanation:

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.

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

every summand of an expression is called a???

Answers

Answer:

I think it's called a term.

Hope this helps :)

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

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.

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.

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]

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

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.

:)

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

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.

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