For i^2 =-1, (3-i)^2 = ?

A. 8
B. 10
C. 8-6i
D. 8 + 6i
E. 10-6i

Answers

Answer 1
C. 8- 6i
(3- i) to the power of 2 (expand the expression)

9- 6 i + i to the power of 2
calculate

9 - 6i - 1
calculate

8- 6i.


Related Questions

for each parallel lines. you are given the measure of one angle

Answers

Answer:

The question is not complete

An electric company charges each of its customers a monthly fee of $19 to maintain the account and nine cents per kilowatt hour what is an equation that relates the monthly cost c in dollars of power consumed P in kilowatt hours 

Answers

Answer:

c = 19 + 0.09P

Step-by-step explanation:

The total cost is the $19 monthly fee plus the amount per hour.

c = 19 + 0.09P

Pls help me answer this math question!! 15 points as well!!

Thanks to whoever answers it correctly.

Pls help me answer this math question!! 15 points as well!! Thanks to whoever answers it correctly.

Answers

Answer:

Step-by-step explanation:

Hope this helps

Pls help me answer this math question!! 15 points as well!! Thanks to whoever answers it correctly.

Combine Like Terms. Need help really please
Answer:
-3y² + 2x +2+3x

Answers

Answer: \(-3y^{2} +5x+2\)

Step-by-step explanation:

\(-3y^{2} +2x+2+3x\\2x+3x=5x\\\)

that is all that you can combine so it makes the answer \(-3y^{2} +5x+2\)

Help please!! Based on Pythagorean identities, which equation is true ??

Help please!! Based on Pythagorean identities, which equation is true ??

Answers

Answer:

Last answer: \(cot^{2} \alpha - csc^{2} \alpha = -1\)

sorry couldn't find theata so I just used alpha.

using the data on this scatter plot ​

using the data on this scatter plot

Answers

Answer:

\( - 8(45) + 482 = - 360 + 482 = 122\)

A manufacturer has determined that for every 1000 units it produces, 3 will be faulty. What is the probability that an order of 50 units will have one or more faulty units

Answers

Answer:

0.1393 = 13.93% probability that an order of 50 units will have one or more faulty units.

Step-by-step explanation:

Mean for a number of units, which means that the Poisson distribution is used to solve this question.

Poisson Distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given interval.

Mean:

3 defective for 1000, how many for 50?

3 - 1000

\(\mu\) - 50

Applying cross multiplication:

\(\mu = \frac{3*50}{1000} = 0.15\)

What is the probability that an order of 50 units will have one or more faulty units?

This is:

\(P(X \geq 1) = 1 - P(X = 0)\)

In which

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-0.15}*(0.15)^{0}}{(0)!} = 0.8607\)

\(P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8607 = 0.1393\)

0.1393 = 13.93% probability that an order of 50 units will have one or more faulty units.

The Steckels decide to spend less on food and on entertainment in order to put more money into savings. Which graph could represent the Steckels’ new budget?

Answers

Answer:

The graph answer choices are needed to answer this question, otherwise no one can help you.

Step-by-step explanation:

What are the intercepts of the graph of

the equation 4y - x = 8

Answers

Answer:

x intercept: (-8,0)

y intercept: (0,2)

Given that cos x = 3/5 and 0

Answers

Answer:

What do we have to do in this? Find x? Let me know I'll explain it in the comment section

If the owner of a sole proprietorship is sued by a customer who slipped and fell in her store,
the sole proprietor is personally liable for damages the injured woman is awarded by the courts
the sole proprietor is not liable under any circumstance
the sole proprietor is covered by a Small Business Administration insurance policy
the sole proprietor is liable only for a small fraction of any damages

Answers

Answer:

the sole proprietor is personally liable for damages the injured woman is awarded by the courts.

Step-by-step explanation:

A trapezoid has an area given by A =1-2(b1-b2)h,where b1,is the length of one base, b2 is the length of the other
base, and h is the height. If the trapezoid has an area of 14 square units, solve for b in terms of the other variables.

Answers

The value of \(b_{1}\) is 69/4h and value of \(b_{2}\) is 43/4h if the area of trapezoid is 14 square units.

Given that area is equal to 1-2(\(b_{1} -b_{2}\))h and area is 14 square units.

We know that area of trapezoid is equal to (a+b)h/2.

We have to put the given equation equal to 14 to get our first equation.

14=1-2(\(b_{1} -b_{2}\))h

14=1-2\(b_{1}\)h+2\(b_{2}\)h

2\(b_{1}\)h-2\(b_{2}\)h=-13------------1

Now put the value of area in the formula of area of trapezoid.

14=\((b_{1} +b_{2})h/2\)

\(b_{1}\)h+\(b_{2}h\)=28-----------------2

Multiply equation 2 by 2 and then subtract 2 from 1

\(2b_{1}h -2b_{2}h -2b_{1}h-2b_{2}h\)=-13-56

-4\(b_{2}h\)=-43

\(b_{2}\)=43/4h

Put the value of \(b_{2}\) in 2 to get the value of \(b_{1}\).

\(b_{1} h+43/4h*h=28\)

\(b_{1}\)=69/4h

Hence The value of \(b_{1}\) is 69/4h and value of \(b_{2}\) is 51/4h if the area of trapezoid is 14 square units.

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In circle O O, O P = 2 OP=2 and the length of ⌢ = 7 9 π PQ ⌢ ​ = 9 7 ​ π. Find the area shaded below. Express your answer as a fraction times π π.

Answers

The measure of angle POQ is given as follows:

30º.

What is the area of a circle?

The area of a circle of radius r is given by π multiplied by the radius squared, as follows:

A = πr²

The radius of the circle in this problem is given as follows:

r = OP = 2.

(distance of the center O to point P on the circumference).

Hence the area of the circle is given as follows:

A = 4π.

The area of the sector is given as follows:

π/3.

The ratio of the area of the sector and the area of the circumference is given as follows:

(π/3)/(4π) = 1/12.

The entire area has a measure of 360º, hence the angle measure is obtained as follows:

1/12 x 360 = 30º.

Missing Information

The problem is given by the image presented at the end of the answer.

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In circle O O, O P = 2 OP=2 and the length of = 7 9 PQ = 9 7 . Find the area shaded below. Express your

17.55 what is this rounded to nearest pound

Answers

Answer:18

Step-by-step explanation:

The 17.55 rounded to nearest pound is 18.

Millie lives in home valued at $195,000 and her mortgage is $160,000. She has $3200 in her saving accounts. What is her net worth?

Answers

685,000

Step-by-step explanation:

195000

160000

3200

685000

An astronaut was exploring the moon of a distant planet, and found some glowing goo at the bottom of a very deep crater. She brought a 10-gram sample of the goo to her laboratory. She found that when the goo was exposed to light, the total amount of goo increased by 100% every hour.
Giving Brainliest
How much goo will she have after 1 hour? After 2 hours? After 3 hours? After n hours?

Answers

Answer:

after 1 hr = 20 after 2 hrs = 40 after 3 hrs = 80 160 n 3 hrs

The steps to prove the Law of Sines with reference to ∆ABC are given. Arrange the steps in the correct order.

Answers

1). Draw a perpendicular from point A to side BC. Let AD = h

2). sin A = h/c and sin C = h/a

3). h = c Sin A, h = a sin C

4). c Sin A =a sin C

5). Divide both side by Sin A * Sin C

6). c Sin A/(Sin A * Sin C) =a sin C/(Sin A * Sin C)

7). c/sin C = a/Sin A

8). Similarly prove that,  c/sin C = b/Sin B

9).  c/sin C =  b/Sin B = a/Sin A

correct on plato

The number 0.000 000 000 034 2 is equivalent to which of the following
expressions?
A. 3.42 x 10^-18
B. 3.42 x 10^-11
C. 3.42 x 10^-10
D. 3.42 x 10^11
E. 3.42 x 10^13

Answers

Answer: 3.42x10^11

Step-by-step explanation:

The number 0.0000000000342 is equivalent to 3.42 × 10^-11. Hence, option B is the correct answer.

This type of conversion is called scientific notation.

Firstly we have to place a decimal between the two non-zero numbers which is 3.42.

And then, count the number of decimals that were moved. That is 11.

And then, determine whether the decimal point is to be moved to the left or right to return to the original number. If the decimal is moved right then the exponent is negative. If the decimal is moved left then the exponent is positive.

Here, the exponent is moved right and the decimal will be negative.

In this case, it is written as 3.42 × 10^-11.

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4. Freddie purchased a pair of never worn Vintage 1997 Nike Air Jordan XII Playoff Black Varsity
Shoe Size 12 for $380. The shoes have shown an average growth rate of 14% per year.
What would be the growth factor (multiplier)?
If the trend continues how much would the shoes be
worth 5 years after Freddie purchased the shoes?

Answers

It would trend continues how much it would be in shoes

The growth factor is 1.14. And the worth for 5 years after Freddie purchased the shoes will be $731.66.

What is an exponent?

Consider the function:

y = a (1 + r) ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

Freddie bought a couple of never worn One of a kind 1997 Nike Air Jordan XII Season finisher Dark Varsity Shoe Size 12 for $380. The shoes have shown a normal development pace of 14% each year.

The growth factor is given as,

Growth factor = 1 + r

Growth factor = 1 + 0.14

Growth factor = 1.14

Then the worth 5 years after Freddie purchased the shoes will be given as,

A = 380 x (1.14)⁵

A = $731.66

The growth factor is 1.14. And the worth for 5 years after Freddie purchased the shoes will be $731.66.

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70 Points. Find the value of z. Then find the value of the interior angles.

Answers

Answer:

where is the picture?I think you forgot to put it

Do this worksheets if someone do I will make him or her brainly if correct.

Do this worksheets if someone do I will make him or her brainly if correct.
Do this worksheets if someone do I will make him or her brainly if correct.

Answers

Answer:

\(1) \frac{37.5}{100} \)

\(2) \frac{9}{40} \times 100 = 22.5 \% \)

\(3) \frac{7}{10} \times 100 = 70\%\)

\(4) \frac{7}{8} \times 100 = 87.5\%\)

\(5) \frac{12}{25} \times 100 = 48\%\)

Find the area of the figure below.



Enter the answer as square inches.

Find the area of the figure below.Enter the answer as square inches.

Answers

Answer:

42

Step-by-step explanation:

Rectangle: A = 6 x 5 = 30

Triangle: A = 1/2(6 x 4) = 12

Area of figure: 30 + 12 = 42

P -5, 1 R 4,4..find the slope

Answers

Answer:

The slope between (-5,1) and (4,4) is 1/3

Step-by-step explanation:

When you're given 2 points and you must find the slope between those 2 points, you can find the distance between the y values and the x values.

For example in this case, the distance in our first y value is 3. So we know that y is always above x so we have 3/x so far.

Next to find the x values you do the exact same, and we get a distance of 9 from -5 to +4.

Now we have 3/9 which should be simplified to 1/3. When plotting this point, you'll use the strategy Rise over Run or Rise/Run.

(Side Note: Y is always above X so we know the Rise must be Y and the X must be Run.)

Y/X = Rise/Run

Hope this helps! :)

calculate the derivative of x^3cosx

Answers

Since g(x) is the product of two terms, we can use the Product Rule to find the derivative.

We essentially have

\(g(x)=f(x)\cdot h(x)\)

where,

\(\begin{gathered} f(x)=x^3\text{ and} \\ h(x)=cosx \end{gathered}\)

Thus, the Product Rule states that the derivative is equal to:

\(f^{\prime}(x)h(x)+f(x)h^{\prime}(x)\)

To differentiate f(x), we can use the Power Rule, where the exponent becomes the coefficient, and we decrement the power.

Therefore,

\(f^{\prime}(x)=3x^2\)

And from our knowledge of derivatives of trig functions

\(h^{\prime}(x)=-\sin x\)

We can now plug these values into the product rule expression to get

\(3x^2(\cos x)+x^3(-\sin x)\)

We can rewrite this as

\(3x^2(\cos x)-x^3(\sin x)\)

Hence,

\(3x^2\cos x-x^3\sin x\)

Therefore, the derivative is

\(3x^2\cos x-x^3\sin x\)

Cory has $24 more than twice as much as Stan. Together they have $150. How much money dose each have ?

Answers

Answer:

99 and 51

Step-by-step explanation:

The problem would be shown as:
2x+24 + x = 150

x is the amount of money Stan has.

Do the math and X=42. Then Plug everything in:

The answer is Cory has $108, Stan has $42.

Graph stuff
Will mark brainliest
:)

Graph stuffWill mark brainliest :)

Answers

The quadratic equation y = x² - 8 · x + 18 represents the parabola shown in the figure.

How to derive the quadratic equation behind the graph of the parabola

In this problem we find a representation of a parabola, which is described algebraically by quadratic equations, that is, polynomials of the form:

y = a · x² + b · x + c

Where a, b, c are the coefficients of the polynomial.

We can determine the value of the coefficients from the knowledge of three points set on Cartesian plane. First, select the points from Cartesian plane:

(x₁, y₁) = (0, 18), (x₂, y₂) = (4, 2), (x₃, y₃) = (7, 11)

Second, create a system of linear equations with three variables and three equations by replacing the variables x and y on the quadratic equation:

c = 18

16 · a + 4 · b + c = 2

49 · a + 7 · b + c = 11

Third, solve the system by numerical methods:

(a, b, c) = (1, - 8, 18)

Fourth, write the resulting quadratic equation:

y = x² - 8 · x + 18

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Graph stuffWill mark brainliest :)

Draw a model of 1/2 x 1/4

Answers

Hey you answer is 1/8 :)
hope this helps

Answer:

I hope this helps :)

Step-by-step explanation:

uh I think this is what you want


1/2 times 1/4 = 1/8


multiply numerators: 1 times 1 = 1

multiply the denominators: 2 times 4 = 8

in total: 1/8

Draw a model of 1/2 x 1/4

HELP ME ITS DUE TODAY AND I NEED HELP PLS IM BEGGING

HELP ME ITS DUE TODAY AND I NEED HELP PLS IM BEGGING

Answers

2) the answer is -1 for this one because it goes from 5/3/1/d

Use f(x) = 1
2
x and f -1(x) = 2x to solve the problems.

f(2) =
1

f−1(1) =
⇒ 2

f−1(f(2)) =
⇒ 2

f−1(−2) =
1
⇒ -4

f(−4) =
2
⇒ -2

f(f−1(−2)) =
2
⇒ -2

In general, f−1(f(x)) = f(f−1(x)) =

Answers

Using the function f(x) = 1/2 x and the inverse of the function f⁻¹(x) = 2x, the solutions of the given are :

f(2) = 1, f⁻¹(1) = 2, f⁻¹(f(2)) = 2

f⁻¹(-2) = -4, f(-4) = -2, f(f⁻¹(-2)) = -2

Given a function,

f(x) = 1/2 x

And an inverse function,

f⁻¹(x) = 2x

We have to find the values of the following.

f(2) = 1/2 × 2 = 1

f⁻¹(1) = 2 × 1 = 2

f⁻¹(f(2)) = f⁻¹(1) = 2 × 1 = 2

f⁻¹(-2) = 2 × -2 = -4

f(-4) = 1/2 × 4 = -2

f(f⁻¹(-2)) = f (-4) = 1/2 × 4 = -2

So, in general, f⁻¹(f(x)) = f(f⁻¹(x))

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A number cube is rolled. Event A is rolling an odd number, and event B is rolling a factor of 12. What is P(AU B)?

Answers

Answer:  1

Explanation:

A = set of odd numbers = {1,3,5}

B = set of factors of 12 = {1,2,3,4,6}

A U B = union of set A and set B

A U B = {1,3,5} union {1,2,3,4,6}

A U B = {1,3,5,       1,2,3,4,6}

A U B = {1,2,3,4,5,6}

The set union operation combines two sets into one bigger set. Duplicates are tossed out.

There are 6 elements in the set A U B = {1,2,3,4,5,6} out of 6 faces of the number cube.

Therefore, the probability event  A U B happens is 6/6 = 1 = 100%; i.e. it is guaranteed to happen. Each face of the number cube is either odd, a factor of 12, or both.

Side notes:

A U B can be read out as "event A or event B"; so P(A U B) is "the probability event A happens or B happens or both".A intersect B = {1,3} = values that are in both set A and set B at the same time. These are both odd and a factor of 12.
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