If (2 − 3i) + (x + yi) = 6, what is x + yi? 4 + 3i 4 − 3i -4 − 3i -4 + 3i 4x + 3i

Answers

Answer 1
If (2 − 3i) + (x + yi) = 6, to get x + yi we subtract (2-3i) from both sides of the equation.

(2 − 3i) + (x + yi) - (2 − 3i) = 6 -(2 − 3i) 
(x + yi) = 6 - (2 - 3i)
Open the parenthesis taking care of the signs 
(x + yi) = 6 - (2 - 3i)
            = 6 - 2 + 3i
            = 4 + 3i

Related Questions

Hey can you please help me posted picture of question

Answers

If you observe, the graph of G(x) is first reflected along x-axis and then shifted down by 3 units to obtain F(x).

Reflection along x-axis can be obtained by multiplying the function by -1.

So, G(x) reflected along x-axis will be: - x²

Next the function is shifted down by 3 units. So this can be obtained by subtracting 3 from the function.

So, we can write 

F(x) = -x² - 3

Thus, option C is the correct answer

The area of an artist's square canvas can hold 113 square inches of paint. What is the approximate length of one side of the canvas? (Approximate to the nearest hundredth inch.)
10.62 inches
10.63 inches
10.64 inches
10.65 inches

Answers

10.63

You'll need a calculator to find this exactly. 

Answer:

The approximate length of one side of the canvas is 10.63 inches

Step-by-step explanation:

Given :The area of an artist's square canvas can hold 113 square inches of paint.

To Find :What is the approximate length of one side of the canvas?

Solution:

Canvas is in the shape of square

Area of square = [tex]Side^2[/tex]

Let the side of the canvas be x

Area of canvas = [tex]x^2[/tex]

Since we are given that The area of an artist's square canvas can hold 113 square inches

So,  [tex]113=x^2[/tex]

[tex]\sqrt{113}=x[/tex]

[tex]10.630=x[/tex]

So, the approximate length of one side of the canvas is 10.63 inches

Hence Option B is correct.

What is the output of the function f(p) = 3p – 2 when the input is 2?

Answers

Put 2 where p is, then do the arithmetic.
  f(2) = 3×2 -2
  f(2) = 6 -2 = 4

The output of the function is 4 when the input is 2.

The radius of a cone can be found using the formula r=3⁢Vπ⁢h , where V stands for the volume of the cone and h stands for the height. If r=3 , h=8 , and π is 3.14, find the volume (V). Round the answer to the nearest hundredths place.

Answers

The right expression for r is give as follows:

r = Sqrt [(3V)/(πh)]

Making the V the subject of the formula
r^2 = (3V)/(πh)
V = πr^2h/3

Substituting,
V= 3.14*3^2*8/3 = 75.36 sq. units

Using the formula for the radius of a cone and the given values of r = 3, h = 8, and [tex]\pi[/tex] = 3.14, the volume of the cone is calculated to be approximately 25.12 [tex]cm^3[/tex].

To find the volume V of a cone, we need to solve for V in the given formula [tex]\( r = \frac{3V}{\pi h} \). With \( r = 3 \),[/tex]  h = 8, and  [tex]\pi = 3.14[/tex], let's proceed as follows:

Rearrange the Formula

1. Given that [tex]\( r = \frac{3V}{\pi h} \)[/tex], isolate V to get:

 [tex]\[ V = \frac{r \cdot \pi \cdot h}{3} \][/tex]

2. Using r=3, h=8, and [tex]\( \pi = 3.14 \)[/tex]:

 [tex]\[ V = \frac{3 \cdot 3.14 \cdot 8}{3} \][/tex]

3. Simplify and solve:

[tex]\[ V = 3.14 \cdot 8 \approx 25.12 \][/tex]

Rounding to the nearest hundredths place, the value for the volume V is approximately 25.12 cubic units.

if you change the sign of a point’s x -coordinate from positive to negative, how will the location of the point change?

Answers

the complete question in the attached figure

we know that
If you add a negative to the x-coordinate of a point, then the point will move to another quadrant
example
if the point is on the first quadrant
then 
the point will move to the second quadrant

if the point is on the fourth quadrant
then 
the point will move to the third quadrant

in both cases the y-coordinate remains the same
hence

the answer is
The point will cross over the y-axis

Answer:

The point will cross over the y-axis

Step-by-step explanation:

Hope it help because i Just Answer the same question and got it before i come on Brainly

Adair had 6 1/2 cups of tomato juice. He used 4/5 of the juice to make soup. How many cups of tomato juice did Adair use to make soup?

Answers

Adair used 4/5 of 6 1/2 cups of tomato juice. To figure out this amount, we must multiply 4/5 by 6 1/2.

However, first we must convert 6 1/2 from a mixed number to an improper fraction to simplify the multiplication process. To do this, we have to multiply the whole number (6) by the denominator (2) and then add the numerator (1).

6*2=12, 12+1=13. Therefore, 6 1/2 = 13/2.

Now, we must multiply 4/5 by 13/2 to figure out how much tomato juice Adair used. To do this, we must multiply the two numerators and the two denominators together and simplify the resulting fraction.

4/5 * 13/2 = 4*13/5*2=52/10

To simplify 52/10, we must find the GCF, or greatest common factor of 52 and 10, which is 2.

52/2 = 26, 10/2 = 5, 52/10 = 26/5.

Therefore, Adair used 26/5, or 5 1/5 cups of tomato juice in his soup.

Hope this helps!
Final answer:

To find how many cups of tomato juice Adair used to make soup, we multiply the fraction representing the portion of tomato juice used (4/5) by the total amount of tomato juice Adair had (6 1/2 cups). The answer is 5 1/5 cups.

Explanation:

To find how many cups of tomato juice Adair used to make soup, we need to multiply the fraction representing the portion of tomato juice used (4/5) by the total amount of tomato juice Adair had (6 1/2 cups). First, we can convert 6 1/2 cups to an improper fraction: 6 1/2 = 13/2 cups. Next, we multiply the fractions: 4/5 * 13/2 = 52/10 = 5 2/10 = 5 1/5 cups.

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Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. –2y2 + 6y = –2

–0.61, 6.61

–0.3, 3.3

–3.3, 0.3

–11.5, 14.5

Answers

For this case we have the following equation:
 -2y2 + 6y = -2
 Rewriting we have:
 -2y2 + 6y + 2 = 0
 Using the quadratic formula we have:
 x = (- b +/- root (b ^ 2 - 4 * a * c)) / (2 * a)
 Substituting values:
 x = (- (6) +/- root ((6) ^ 2 - 4 * (- 2) * (2))) / (2 * (- 2))
 Rewriting:
 x = (- 6 +/- root (36 + 16)) / (- 4)
 x = (- 6 +/- root (52)) / (- 4)
 x = (- 6 +/- root (4 * 13)) / (- 4)
 x = (- 6 +/- 2 * root (13)) / (- 4)
 x = (- 3 +/- root (13)) / (- 2)
 The roots are:
 x1 = (- 3 - root (13)) / (- 2)
 x2 = (- 3 + root (13)) / (- 2)
 Rewriting:
 x1 = -0.3
 x2 = 3.3
 Answer:
 
–0.3, 3.3

two cylindrical candles have a scale factor of 3:5. The larger candle has a volume of 40(3.14) cubic inches. Fund the volume of thel the smaller candle. Write your answer in term of (3.14)

Answers


[tex]5 = 40\pi \\ 3 =( (40 \div 5) \times 3)\pi \\ = 24\pi[/tex]

The volume of the smaller candle is 8.64π cubic inches.

How to find the volume

The volume of a cylinder is given by the formula

V = π r² h,

where

r is the radius and

h is the height.

The scale factor is given as 3:5, which means the ratio of the volumes is (3³ : 5³)

Using the ratio, let volume of the the smaller candle. be x

3³ : 5³

x  :  40π

cross multiply

x = 40π * 3³ / 5³

x = 40π * 27 / 125

x = 8.64π cubic inches.

If a body moves in a straight line according to the law s = 24t + 3t2 - t3 , where s is the distance measured in meters from the origin and t is the time in seconds after it starts to move, calculate the body's velocity as a function of time. A. V = 30t - t2 B. V = 24 + 6t - 3t2 C. V = 24 + 3t - t2 D. V = 30t - 3t2

Answers

Remember that the velocity as a function of time is the derivative of the position as a function of time. 
To solve this we are going to take the derivative of our position function [tex]s=24t+3t^2-t^3[/tex]. To do that er are going to apply the power rule of calculus: [tex] \frac{dy}{dx} x^n=nx^{n-1}[/tex]

[tex] \frac{dy}{dx} 24t+\frac{dy}{dx}3t^2-\frac{dy}{dx}t^3[/tex]
[tex]24+2(3)t-3t^2[/tex]
[tex]v=24+6t-3t^2[/tex]

We can conclude that the correct answer is: B. V = 24 + 6t - 3t2

Farmer Ed has 8500 meters of fencing and wants to enclose a rectangular plot that borders on a river. If farmer Ed does not fence the side along the river, what is the largest are that can be enclosed?

Width = 2x
Length = 8,500-2x

Answers

Let x and y be width and length of the plot to be fenced. Therefore,

Area (A) = xy m^2

If the side bordering the river is x, then
Circumference (C) = 8500 = x+2y => x = 8500-2y

Substituting for w in the equation for A;
A = (8500-2y)y = 8500y -2y^2

For maximum area, derivative of A with respect to y is 0. That is;
dA/dy = 0 = 8500 -4y => 4y = 8500 => y = 8500/4 = 2125 m
And, x = 8500-2y = 8500 -2*2125 = 4250 m

Therefore,
One side = 4,250 m and second side = 2,125 m.
Largest area, A = 4250*2125 = 9,031,250 m^2

In general, the y-intercept of the function F(x)=a•b^x is the point what????

Answers

F(0) = a

The y-intercept is the point (0, a).

Get Brainliest if you answer What was Hammurabi's most important achievement as the ruler of Babylon? A. He built extensive canals, which carried water to many parts of his kingdom. B. He established permanent armies, which he used to control his empire. C. He appointed governors to rule over conquered cities. D. He was responsible for a codification of laws that influenced later societies.

Answers

Thee answer would be D

Answer:

Its D

Step-by-step explanation:

I did the quiz

James bought $175 in accessories for his video game console. He spent $15 on a new power cord and the rest of his money on 5 new video games. Each video game cost the same amount. Write two equations you could use to find the cost of each video game.

Answers

Hello!

I believe two equations you can make to represent the question are...

(175-15)/5
and
5x+15=175

The first equation, (175-15)/5, makes you subtract 15 from 175 to get 160. You'll then divide 160 by 5 to get 32.

The second equation, 5x+15=175, makes you subtract 15 from 15 and 175, so you'll equation will look like this...
5x=160
You'll then divide 5x and 160 by 5 to get x=32.

So for both equations, you'll get an answer of 32.

I hope this helps!

The solution is, two equations are: (175-15)/5 and, 5x+15=175

the cost of each video game is 32.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here, we have,

two equations we can make to represent the question are...

(175-15)/5

and

5x+15=175

The first equation, (175-15)/5, makes you subtract 15 from 175 to get 160. You'll then divide 160 by 5 to get 32.

The second equation, 5x+15=175, makes you subtract 15 from 15 and 175, so you'll equation will look like this...

5x=160

You'll then divide 5x and 160 by 5 to get x=32.

So for both equations, we'll get an answer of 32.

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Complete the equation of the line whose slope is − 2 and y-intercept is ( 0 , 3 )

Answers

Y-3= -2(x-0)

This is the equation in slope point form.

What is the value of n for the equation 1n+4n+16n2−6n=4n−6?

Answers

Final answer:

To find the value of 'n' for the given equation, we first combine like terms to get 16n^2 - n = 4n - 6. Then, set the equation to zero to solve for 'n'. The resulting quadratic equation, 16n^2 - 5n + 6 = 0, can be solved by factoring, completing the square, or applying the quadratic formula.

Explanation:

The student's equation is 1n + 4n + 16n2 − 6n = 4n − 6. To simplify and solve for n, we need to consolidate like terms and find the value of n that satisfies the equation.

First, we start by adding the like n terms. This gives us:

5n + 16n2 − 6n

Next, we combine the like terms:

16n2 − n (since 5n - 6n gives us -n)

Now, we set the equation equal to the right side of the original equation:

16n2 − n = 4n − 6

To find the value of n, we have to set the equation to zero and solve for n:

16n2 − 5n + 6 = 0

The student must now use techniques such as factoring, completing the square, or the quadratic formula to find the value(s) of n that satisfy the quadratic equation.

Final answer:

The value of n varies in different Chemistry contexts, such as in sequence manipulations, when converting to scientific notation, in electron configurations indicating n = 3 for a 3p electron, and when determining the total number of orbitals for n = 4.

Explanation:

The student question involves determining the value of n (the principal quantum number) in different scenarios within the field of Chemistry. Here are examples covering various cases:

For the expression of n terms leading to 2n², it's concluded by manipulating terms within a sequence.When converting numbers like 60.474 × 10-4 to scientific notation, n becomes more positive by 1 if the value of N decreases.The electron configuration of an atom indicates the last electron added is a 3p electron, which implies n = 3.For n = 4, an atom has s, p, d, and f subshells, leading to a total of 16 orbitals.

what is the positive solution to the equation 0=⅓x²-3

Answers

Add 3, multiply by 3, and take the positive square root.
  3 = (1/3)x²
  9 = x²
  √9 = 3 = x

The positive solution to the equation is x = 3.

A survey was conducted at Springdale High to find the number of hours students sleep at night. The histogram shows the data collected in this survey. Which statement about the number of hours students sleep is true? Seventeen students sleep between 6 and 8 hours at night. Seventeen students sleep for 6 hours at night. Ten students sleep for 4 hours at night. Six students sleep between 2 and 4 hours at night. Four students sleep for 10 hours at night.

Answers

17 students sleep between 6 and 8

he actual weights of 10 sample “1 lb packages” of meat are found to be: sample 1 2 3 4 5 6 7 8 9 10 weight 1.01 1.03 0.98 0.99 1.01 1.02 0.98 1.05 0.97 0.98 What is the mean of the actual weights?

Answers

To do this problem, add up all the numbers and divide by the amount of numbers:

1.01+1.03+.98+.99+1.01+1.02+.98+1.05+.97+.98
10.02

Now divide by 10 (the amount of samples)

10.02/10
1.002

The Mean of the Data Set is 1.002

Hope this helps!
1.01 + 1.03 + 0.98 + 0.99 + 1.01 + 1.02 + 0.98 + 1.05 + 0.97 + 0.98 = 10.02

10.02 / 10= 1.002

Answer: 1.002

9.
Leola Hain purchases 220 shares of Circuit City stock at $42.75 per share.

Find the annual dividend if the dividend per share is $0.0625.

$43

$55

$9,460

$9,405

Answers

42.75 + 0.0625*220 = 56.5

$55 is the answer

If there are 4 math​ courses, 3 psychology​ courses, and 5 english courses offered in​ non-overlapping times so that you could select one of each for your​ schedule, how many different schedules would be​ possible?

Answers


[tex]4 \times 3 \times 5 = 60[/tex]

Answer:

there are many different answers that is because there are four different ways to answer this one question.

Step-by-step explanation:

4*3*5=60

4-+5+3=12

1) 435 2) 435 3) 435

A bag of rice weights 3.18 lbs find its mass in kilograms

Answers

[tex]\bf \begin{array}{ccll} lbs&kgs\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 2.2&1\\ 3.18&k \end{array}\implies \cfrac{2.2}{3.18}=\cfrac{1}{k}\implies k=\cfrac{3.18\cdot 1}{2.2}[/tex]

Han has 410,000 in a retirement accounts that earns 15,785 each year find the simple interest rate for this investment

Answers

the simple interest rate on this investment is.0385 or 3.85%:
Interest = principle * rate * time
I=prt
r=I/(pt)=15785/(410,000*1)= .0385

The simple interest rate on this investment is.0385 or 3.85%:

What is Simple Interest?

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

Given:

Han has 410,000 in a retirement accounts that earns 15,785 each year.

Using Simple Interest

Interest = principle x rate x time / 100

Rate = Interest / ( principle x time )

Rate = 15785/(410,000x1)

Rate = 0.0385

Rate= 3.85 %

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During the first stages of an epidemic, the number of sick people increases exponentially with time. Suppose that at = 0 days there are 2 people sick. By the time = 3, 40 people are sick. a) Let be the number of sick people at time . Find an exponential equation = expressing in terms of .



b) How many people will be sick by the time = 6?

Answers

t = days passed

r = rate of growth

by 0 day, or t = 0, there are 2 folks sick,

[tex]\bf \qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\to &2\\ P=\textit{initial amount}\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\to &0\\ \end{cases} \\\\\\ 2=P(1+r)^0\implies 2=P\cdot 1\implies 2=P\qquad \boxed{A=2(1+r)^t}[/tex]

 by the third day, t = 3, there are 40 folks sick,

[tex]\bf \qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\to &40\\ P=\textit{initial amount}\to &2\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\to &3\\ \end{cases} \\\\\\ 40=2(1+r)^3\implies 20=(1+r)^3\implies \sqrt[3]{20}=1+r \\\\\\ \sqrt[3]{20}-1=r\implies 1.7\approx r\qquad \boxed{A=2(2.7)^t}[/tex]

how many folks are there sick by t = 6?   [tex]\bf \stackrel{that~many}{A=2(2.7)^6}[/tex]

In a string of 100 christmas lights, there is
a.015 chance that a given bulb will fail within the first year of use (if one bulb fails, it does not affect the others). find the approximate probability that six or more bulbs will fail within the first year. (round your answer to 4 decimal places.) probability

Answers

We want to find [tex]\mathbb P(X\ge6)[/tex], where [tex]X[/tex] is a binomial distribution with [tex]n=100[/tex] and [tex]p=0.015[/tex]. So

[tex]\mathbb P(X\ge6)=1-\mathbb P(X<6)=1-\displaystyle\sum_{x=0}^5\binom{100}x0.015^x(1-0.015)^{100-x}\approx0.0041[/tex]

The approximate probability that six or more bulbs will fail within the first year is approximately 0.1461, rounded to four decimal places.

To find the approximate probability that six or more bulbs will fail within the first year, we can use the binomial probability formula:

P(X ≥ k) = 1 - P(X < k)

where:

P(X ≥ k) is the probability of getting "k" or more successes (bulbs failing).

P(X < k) is the probability of getting less than "k" successes (bulbs failing).

In this case, "k" is 6 (six or more bulbs failing), and the probability of a bulb failing in the first year is 0.015.

Now, let's calculate the probability of getting less than six failures (k < 6):

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

Using the binomial probability formula:

P(X = k) = C(n, k) *[tex]p^k * (1 - p)^{n - k}[/tex]

where:

C(n, k) is the binomial coefficient (n choose k).

n is the number of trials (total bulbs, which is 100 in this case).

p is the probability of success (a bulb failing, which is 0.015).

k is the number of successes (bulbs failing).

Now, calculate P(X < 6):

P(X = 0) = C(100, 0) * 0.015⁰ * (1 - 0.015)^(100 - 0)

P(X = 1) = C(100, 1) * 0.015¹ * (1 - 0.015)^(100 - 1)

P(X = 2) = C(100, 2) * 0.015² * (1 - 0.015)^(100 - 2)

P(X = 3) = C(100, 3) * 0.015³ * (1 - 0.015)^(100 - 3)

P(X = 4) = C(100, 4) * 0.015⁴ * (1 - 0.015)^(100 - 4)

P(X = 5) = C(100, 5) * 0.015⁵ * (1 - 0.015)^(100 - 5)

After calculating each term, add them up:

P(X < 6) ≈ 0.8539

Now, find the probability of getting six or more failures:

P(X ≥ 6) = 1 - P(X < 6)

P(X ≥ 6) ≈ 1 - 0.8539 ≈ 0.1461

So, the approximate probability that six or more bulbs will fail within the first year is approximately 0.1461, rounded to four decimal places.

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ABC Bookstore sells new books according to the demand function P = -Q + 25, where P is the price and Q is the quantity. If the bookstore charges $18 for a new book, how many new books can the store expect to sell?

Answers

P = -Q + 2518 = -Q + 2518-25 = -Q-7 = -Q-7/-1 = -Q/-1Q = 7
Therefore, the store can expect to sell 7 new books if they will charge $18 for the new books. 

Answer:

P = -Q + 2518 = -Q + 2518-25 = -Q-7 = -Q-7/-1 = -Q/-1Q = 7

Therefore, the store can expect to sell 7 new books if they will charge $18 for the new books.



The median number of business trips for 6 employees in a certain quarter is 10. The range of number of business trips for those employees that quarter is 9. The fewest business trips could be 0. True, false, or not enough information?

Answers

Answer:

  False

Step-by-step explanation:

You want to know if it is true that the fewest number of business trips could be zero if the median of 6 values is 10 and their range is 9.

Median

The median of 6 numbers is the average of the middle two when they are sorted into increasing order. That means the smallest number that can be the upper end of the range is 10. (In that case, 4 of the 6 values would be 10.)

Since the lower end of the range is 9 less than the upper end, the fewest number of business trips cannot be less than 10-9 = 1.

It is False that the fewest number could be 0.

__

Additional comment

The numbers of trips could be ...

  1, 1, 10, 10, 10, 10

This 6-element data set has a median of 10 and a range of 9.

What is the quotient when 0.75 is divided by 5?

Answers

0.15
(its just 0.75 ÷ 5)
What I got was: 0.75÷5=0.15

What is the value of x, if 105% of 90 is equal to 200% of x?

Answers

x = 47.25 because 105/200 equals 0.525. 0.525 times 90 equals 47.25

From the given equation

105% * 90 = 200% * x

105/100 * 90 = 200/100 * x

105*90 = 200*x

x = 105*90/200

X = 21*9/4

X = 189/4

x = 47.25

Value of x = 47.25 or 47 1/4

a hiker walks 12 miles north. then she walks 9 miles west. What is the shortest distance the hiker can travel to return tonher starting point

Answers

If we were to draw the distance walked, it would be the "legs"  of a right triangle. So, to determine the return distance we calculate the hypotenuse which equals:
hypotenuse^2 = 12^2 + 9^2 = 225 return distance = 15 miles.

The scale factor of the dilation of figure ABCD is

Answers

D' = (-2, 0) = 2*(-1, 0) = 2*D

The scale factor is 2.
Other Questions
The bodies of multicellular fungi are made of long strands called Which of the following is a domestic business activity? What is one reason Mikhail Gorbachev was important? He was a Russian diplomat who created more tension between the US and the USSR.He was a Russian spy who helped to bring down the Berlin Wall. He was a Russian immigrant who developed the Star Wars program. He was a Russian leader who wanted to improve relations with the West. Find the measure of an angle between 0 and 360 that is coterminal with 370 Which is true about effective business writing? is primarily informative and persuasive in nature leaves readers with many questions ignores formatting concerns because content must be accurate is always short find the interquartile range for the data set: 10,3,8,6,9,12,13 a waxing moon means the moon is becoming a waht Locate and cite the 2012 united states court of appeals (d.c. circuit) wherein a man appealed his conviction for multiple offenses including racketeering and conspiracy, related to his participation in a series of bank robberies. Anne plans to increase the prices of all the items in her store by 5%. To the nearest cent, how much will the artist save if the artist buys a canvas and a frame that each measure 24 by 36 inches before the price increase goes into effect Light and shadow can ____________ an object, giving it a three-dimensional appearance Which sentence has correct punctuation? Someday I'll visit these countries: France, Italy, and Japan. My friend has visited: France, Italy, and Japan. Some of my favorite countries are: France, Italy, and Japan. I simply love: France, Italy, and Japan. In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x2 to the number of x-intercepts in the graph of g(x) = -x2 -5. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x). How do skeletal muscles work, please help For spherical mirrors, how many reference rays are used to find the image point? A two B three C four D six What is the role of mRNA in expressing specialized structures A rectangular piece of sheet metal has a length that is 6 in. less than twice the width. a square piece 3 in. on a side is cut from each corner. the sides are then turned up to form an uncovered box of volume 1536 in. cubed find the length and width of the original piece of metal. Radical Expressions and Data Analysis Unit PortfolioALGEBRA 1 BDirections: Complete each of the tasks outlined below. Task 1For 7 days keep track of the number of pieces of mail you receive at your home.a. Put your data into a frequency table having intervals of 04, 59, 1014, and 1519.b. Use the frequency table to create a histogram of the data.c. Doyounoticeanypatternsinthehistogram?Task 2a. Pick 9 different dog breeds and find their average weights. List each breed and weight. Find the mean, median, and mode of the data. Which measure of central tendency best describes the data? Explain your answer.b. How much would a 10th dog have to weight for the average weight in part (a) to be 250 pounds? Explain how you determined your answer.Task 3Pick a city in Maryland and determine the average high temperatures for each month. Record this in a table.a. Create a box-and-whisker plot for the data.b. What is the median temperature?c. 75%ofthetemperaturesarebelowwhatvalue?Howdoyouknow? d. 75% of the temperatures are above what value? How do you know? e. What conclusions can you draw about the temperature in Maryland? This landform results when water exists a constricted channel and loses velocity. The equation h(t) = 16t^2 + 19t + 110 gives the height of a rock, in feet, t seconds after it is thrown from a cliff.What is the initial velocity when the rock is thrown? What is the importance of the Two Treatises of Government