can anyone write me the steps of how to graph y=(x-9)^, please?

Answers

Answer 1

Answer:

first step is to put the (x-9)^2 into a standard form which is y=x^2−18x+81 then choose two integers larger than the x-value of the vertex point.next choose two integers smaller than the x-value of the vertex point. lastly substitute these values in place of "x" in the equation and solve for "y".

Step-by-step explanation:

x | y

7 | 4

8 | 1

9 | 0

10 | 1

11 | 4

4=(11-9)^2

1=(10-9)^2

0=(9-9)^2

1=(8-9)^2

4=(7-9)^2


Related Questions

How many batches of cookies can Robert make?

Answers

Answer:

5 batches

Step-by-step explanation:

For this you need to divide the 2 fractions, and what ever you get will be the answer.

[tex]4\frac{1}{2}[/tex]÷[tex]\frac{3}{4}[/tex]

First make the mixed fraction into a improper fraction.

[tex]\frac{9}{2}[/tex]×[tex]\frac{4}{3}[/tex]=[tex]\frac{36}{6} =\frac{5}{1} =5[/tex]

Final answer

5 batches

If it takes 2 hours to travel a distance of 120 km, how long would it take to travel 210km if the rate remained the same?

Answers

Answer:

about 3.5 hrs

Step-by-step explanation:

Which expressions are equivalent to One-half + 3 c + StartFraction 4 Over 5 EndFractionCheck all that apply. 3 c + StartFraction 4 Over 5 EndFraction + one-half 1 + 2 + 3c + 4 +5 StartFraction 4 Over 5 EndFraction + one-half + 3 c 2 + 3c + 4 One-half + StartFraction 4 Over 5 EndFraction + 3 c

Answers

Question:

Which expressions are equivalent to ½ + 3c + ⅘.

Check all that apply.

Answer:

½ + 3c + ⅘ is equivalent to

1. ⅒(30c + 13)

2. 3c + 13/10

Step-by-step explanation:

The options are not well presented.

However, I'll give simplify the given expression in the question above.

Given: ½ + 3c + ⅘.

Required: Simplify

We start by collecting like terms

3c + ½ + ⅘

From this point, the expression can be solved in two ways

1. Solve fractions

This gives [Find LCM]

3c + (5 + 8)/10

3c + 13/10

3c + ⅒(13)

This can still be solved further [Find LCM]

(30c + 13)/10

⅒(30c + 13)

Hence ⅒(30c + 13) is equivalent to ½ + 3c + ⅘.

2. Convert fractions to decimal

½ + 3c + ⅘ becomes

0.5 + 3c + 0.8

Collect like terms

3c + 0.5 + 0.8

3c + 1.3

Convert decimal to fraction

3c + 13/10

3c + ⅒(13)

This can still be solved further [Find LCM]

(30c + 13)/10

⅒(30c + 13)

Hence ⅒(30c + 13) is equivalent to ½ + 3c + ⅘.

This is as far as the expression can be evaluated

Answer:

1,3.and 5

Step-by-step explanation:

What is the solution of this equation w+7=13

Answers

Answer:

6

Step-by-step explanation:

Answer:

w=6

Step-by-step explanation:

(backwards method)

13-7=6

so

w=6

If you answer a question put the number of the question in your answer. Thanks

Answers

Answer:

You'll find the answer below each.

Step-by-step explanation:

1-4 you can use this formula: [tex]V=l*h*w[/tex]

1.

[tex]V=l*w*h\\V=(6ft)(4ft)(1ft)\\V=24ft^3[/tex]

2.

[tex]V=l*h*w\\V=(2yd)(\frac{1}{2}yd )(2yd)\\V=2yd^3[/tex]

3.

[tex]V=l*h*w\\V=(12\frac{1}{2}mm)(3mm)(4mm)\\V=150mm^3[/tex]

4.

[tex]V=l*h*w\\V=(2cm)(8.5cm)(2cm)\\V=34cm^3[/tex]

5-7 you need these 2 formulas: [tex]A=\frac{bh}{2}[/tex] and [tex]V=Bh[/tex] or you can use one formula which is: [tex]V=\frac{bh}{2}*h[/tex]

Let me explain. The first formula is for finding the area of the base of the triangle and the second formula is for finding the volume of the prism using the area previously mentioned. The first h is with respect to the triangle and the second h is with respect to the prism.

5.

[tex]V=\frac{bh}{2}*h\\V=\frac{(8in)(6in)}{2}* 18in\\V=\frac{48in^2}{2}*18in\\ V=48in^2*9in\\V=432in^3[/tex]

6.

[tex]V=\frac{bh}{2}*h \\V=\frac{(11m)(5m)}{2}*35m \\V=\frac{55m^2}{2}*35m\\ V=\frac{1925m^3}{2}\\ V=962.50m^3[/tex]

7.

[tex]V=\frac{bh}{2}*h \\V=\frac{(5mm)(8mm)}{2}*12mm\\V=\frac{40mm^2}{2}*12mm\\ V=40mm^2*6mm\\V=240mm^3[/tex]

For the last one, we have a special case.

This formula is a bit odd and long.

[tex]V=\frac{1}{4}h(\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex]

a=8yd

b=15yd

c=17yd

h=11yd

[tex]V=\frac{1}{4}(11yd)(\sqrt{-(8yd)^4+2[(8yd)(15yd))]^2+2[(8yd)(17yd)]^2-(15yd)^4+2[(15yd)(17yd)]^2}[/tex][tex]-(17)^4[/tex]

As you can see this is long. I'll just jump to the answer.

Answer: [tex]660yd^3[/tex]

Answer:

He is correct

Step-by-step explanation:

Probability & Sampling:Question 4
If the probability of a chance event is 0, it is
to happen
when compared to a chance event with a probability of 1.
Select one:
both more and less likely
less likely
more likely
equally likely

Answers

Answer:

more likely

Step-by-step explanation:

I need a lot of help with number 2

Answers

Answer:

I. 168

Step-by-step explanation:

Break the shapes down and get the area of each of them individually then add them together

A basketball has a volume of 23047 cm
What is the diameter of this basketball?
4 of 5 QUESTIONS
24 cm
16.6 cm
27.7 cm
12 cm
SUBMIT

Answers

Answer:

17.65693585 = r

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

23047 = 4/3 (3.14) r^3

23047 = 4.1866666666 r^3

Divide by 4.186666 on each side

23047/4.18666666 = 4.1866666666/4.18666666 *r^3

5504.856688 = r^3

Take the cubed root on each side

(5504.856688)^1/3 = r^3^(1/3)

17.65693585 = r

x + 18 greater than or equals 26

Answers

Answer:

x + 18 ≥ 26

Step-by-step explanation:

"greater than or equals": ≥

x + 18 ≥ 26 is your answer.

If you are trying to solve it so you isolate x, subtract 18 from both sides:

x + 18 (-18) 26 (-18)

x 26 - 18

x 8

x ≥ 8 is your answer.

~

Answer:

x+18 ≥ 26

Step-by-step explanation:

≤ is the less than or equals sign

≥ is the greater than or equals sign

x+18 ≥ 26

(This also means x must be ≥ 8)

HELP ASAP GIVING BRAINLIST!!!!!!!!!!!!

Answers

Problem 11

Answer: -4x^2 - 6  (choice 3)

Work Shown:

P = 4x^2-x+1

Q = -6x^2+x-4

P+Q = sum of P and Q

P+Q = (4x^2-x+1)+(-6x^2+x-4)

P+Q = (4x^2-6x^2)+(-x+x)+(1-4)

P+Q = -2x^2+0x-3

P+Q = -2x^2 - 3

2*(P+Q) = twice the sum of P and Q

2*(P+Q) = 2*(-2x^2 - 3)

2*(P+Q) = 2(-2x^2) + 2(-3)

2*(P+Q) = -4x^2 - 6

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

Problem 12

Answer: 6x^3 + 4x^2 - 34  (choice 1)

Work Shown:

y = 3x^3 + x^2 - 5

z = x^2 - 12

2(y+z) = 2(3x^3 + x^2 - 5      +   x^2-12)

2(y+z) = 2(3x^3 + 2x^2 - 17)

2(y+z) = 2(3x^3) + 2(2x^2) + 2(-17)

2(y+z) = 6x^3 + 4x^2 - 34

Answer:

11. 3

12. 1

Step-by-step explanation:

11.

[tex](4x^2-x+1)+(-6x^2+x-4)\\4x^2-x+1-6x^2+x-4\\-2x^2-3[/tex]

Double that

[tex](2)(-2x^2-3)\\-4x^4-6[/tex]

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

12.

[tex]y=3x^3+x^2-5\\z=x^2-12[/tex]

[tex]2(y+z)\\2(3x^3+x^2-5+x^2-12)\\2(3x^3+2x^2-17)\\6x^3+4x^2-34[/tex]

What are the three cues to remember for dribbling with mature form in basketball?

Answers

Answer:

Thee three cues are

1. Control the ball with he finger-pads

2. Always dribble at waist level

3. One's eyes should be up to see the team members and defenders while dribbling

Step-by-step explanation:

To dribble a basketball requires, keeping one's head up to see the on going game around. Endeavor to shield defenders from the ball with the aid of the non dribbling arm and body

When bouncing the ball, keep it low, and extend the arms and snap the wrists, while controlling the ball with your fingers rather than the palm

The three cues are

1. Handle the ball with the finger pads, not with the  palm of the hands nor with the fingertips

2. Dribbling should be done only at the waist level  

3. When dribbling a ball, one should keep his eyes up to see the game ongoing.

Bur oak and hickory trees are deciduous,which means that they lose their leaves seasonally. A bur oak is 25 1/2 feet tall and grows 1 1/2 feet each year. A hickory is 30 feet tall and grows 1 1/2 feet each year. Complete the chart to show the heights of the two trees each year for five years.

Answers

First we must calculate, for each tree the increment for each year:

bur oak:

Initial: 25.5 ft

1 year = 25.5 + 1.5 = 27

2 year = 27 + 1.5 = 28.5

3 year = 28.5 + 1.5 = 30

4 year = 30 + 1.5 = 31.5

5 year = 31.5 + 1.5 = 33

 hickory:

Initial: 30 ft

1 year = 30 + 1.5 = 31.5

2 year = 31.5 + 1.5 = 33

3 year = 33 + 1.5 = 34.5

4 year = 34.5 + 1.5 = 36

5 year = 36 + 1.5 = 37.5

Year  |  bur oak (ft)  |  hickory (ft)

  0              25.5              30

  1                 27               31.5

  2               28.5              33

  3                30               34.5

  4               31.5               36

  5                33               37.5

I need this done please help in the picture

Answers

Answer

7.85

but I not sure JutMon21 know the problem

Answer:

I got 7.85

Step-by-step explanation:

First, I took the center angle which is 90 degrees in this case and divided by 360 and I got 0.25 Then, I multiplied that number by the radius which is 5 and I got 1.25. After that I multiplied 1.25 with 2π and the final answer that I got is 7.85

WILL MARK THE BRAINLIEST!!!! What is a function?

Answers

Answer:

In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.

Step-by-step explanation:

Johnny had a math test and he started at 2:18 p.M. It took 75 minutes to complete the test. He had a dentist's appointment at 4:30 p.M. How much time, in minutes, did he have between the end of the test and his appointment time

Answers

Answer:

57 minutes

Step-by-step explanation:

First, add 75 minutes to the time he started the test. Then, subtract the time you get from the time for his dentist appointment.

75 minutes is the same as 1 hour 15 minutes (1 hour = 60 minutes)

  H    M

  2   :  18

+  1   :  15

   3  :  33

He ended the test by 3:33 PM.

 H    M

 4  :  30

- 3  :  33

 0 :  57

Therefore, he had 57 minutes between the end of the test and his appointment.

You roll a die 30 times. The table shows the results. Find the experimental probability of rolling each number. Write each probability as a fraction in simplest form. For which number is the experimental probability of rolling the number the same as the theoretical probability?

Answers

Answer:

i need this answer too someone please answer lol

You pick a card at random. Without putting the first card back, you pick a second card at random. 1 2 3 4 5 6 7 8 What is the probability of picking a 1 and then picking an odd number? Write your answer as a percentage rounded to the nearest tenth.

Answers

Answer:

%12.8 for the card withe the number 1

%37.8 for the odd number

Step-by-step explanation:

you only have a number one card so thats 1/8 and when converted to percentage is  %12.8

theres 3 odd numbers not counting the 1 so thats 3/8  coverted to percent is %37.8

to find percentage to multiply the Numerator by Denominator and multiply by 100

Feel free to ask for more help :)

Can anyone pls help me out in dis!!!

Answers

Answer:

1. Since you have to square the number of units to use the Pythagorean theorem, the dashes represent the number you would use in the equation(without squaring afterwards) . So if its 3 units long, there are 9 dashes. (3^2=9)

2. You can't use the number of boxes because that wouldn't give you the correct answer for C, since all of the variables have to be squared first for the formula to work.

Step-by-step explanation:

The double number lines show the ratio of cups to gallons.
64
0
Cups 4+
Gallons +
0
4
How many cups are in 3 gallons?
cups

Answers

Answer:

Step-by-step explanation:

The answer is There are 3 gallons

find -2- (-0.7) PLEASE HELPPPP

Answers

Answer:

-1.3

Step-by-step explanation:

Answer:

-2-(-0.7)

= -2-(-0.7)

= -2 + 0.7

= -1.3

Step-by-step explanation:

minus into minus is plus

-2 is greater so we are going to put "-" sign

and get the aswer by adding

to pu this in number line just estimate the closest whole number on line and and also check the mines integers left is minus and right is plus side thanks

pleas mark me as brainliest i told every thing in detail

A hockey team has a 75% chance of winning against the opposing team in each game of a playoff series. To win the series, the team must be the first to win 4 games.
A) Design a simulation for this event,
B) what counts as a successful outcome?
C) Estimate the probability using your simulation.
Can anyone help me? I’m kind of confused on this problem

Answers

Answer:

C. Estimate the probability using your simulation.

Step-by-step explanation:

can someone help me with algebra 2 with an explanation?

Answers

Answer: This took me a long time to type, hope you read it and find it helpful and easy to understand...

1. [tex]x=1[/tex]

2. [tex]x=\frac{3}{2}[/tex]

3. [tex]x=1[/tex]

4. [tex]x=\frac{6}{5}[/tex]

Step-by-step explanation:

1.

[tex]\frac{1}{x}-\frac{x-2}{3x}=\frac{4}{3x}[/tex]

To make it easier to add / subtract fractions, we are looking for common denominators. I can see that if I move the fraction on the left with a denominator 3x to the right, I'll be able to add two equations with like denominator.

Let's add [tex]\frac{x-2}{3x}[/tex]

[tex]\frac{1}{x}=\frac{4}{3x}+\frac{x-2}{3x}[/tex]

Add the numerators and keep the same denominator.

[tex]\frac{1}{x}=\frac{4+x-2}{3x}[/tex]

[tex]\frac{1}{x}=\frac{2+x}{3x}[/tex]

To get rid of the denominator x on the left side, we can multiply by x.

[tex](x)\frac{1}{x}=\frac{2+x}{3x}(x)[/tex]

[tex]1=\frac{2+x}{3}[/tex]

Now multiply by 3.

[tex](3)1=\frac{2+x}{3}(3)[/tex]

[tex]3=2+x[/tex]

Subtract 2.

[tex]3-2=x\\1=x[/tex]

The value of x is 1.

Proof.

[tex]\frac{1}{x}-\frac{x-2}{3x}=\frac{4}{3x}[/tex]

[tex]\frac{1}{1}-\frac{1-2}{3(1)}=\frac{4}{3(1)}[/tex]

[tex]1-\frac{-1}{3}=\frac{4}{3}[/tex]

[tex]1+\frac{1}{3}=\frac{4}{3}[/tex]

[tex]\frac{1*3+1}{3} =\frac{4}{3}\\\frac{4}{3}=\frac{4}{3}[/tex]

I can't show the proof to the following problems because I have a 5000 character limit.

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

2.

[tex]\frac{5x-5}{x^2-4x} -\frac{5}{x^2-4x}=\frac{1}{x}[/tex]

Again, we have like denominators, therefore, we can simply subtract the numerators and keep the same denominator.

[tex]\frac{5x-5-5}{x^2-4x}=\frac{1}{x}[/tex]

[tex]\frac{5x-10}{x^2-4x}=\frac{1}{x}[/tex]

Again, we can multiply by x to get rid of the x in the denominator.

[tex](x)\frac{5x-10}{x^2-4x}=\frac{1}{x}(x)[/tex]

Do not distribute the x in the numerator yet because we're gonna eliminate it later.

[tex]\frac{(x)(5x-10)}{x^2-4x}=1[/tex]

Factor the denominator.

[tex]\frac{(x)(5x-10)}{(x)(x-4)}=1[/tex]

Simplify x's.

[tex]\frac{5x-10}{x-4} =1[/tex]

Multiply by x-4 to get rid of the denominator.

[tex](x-4)\frac{5x-10}{x-4} =1(x-4)[/tex]

[tex]5x-10=x-4[/tex]

Add 10

[tex]5x=x-4+10[/tex]

Subtract x

[tex]5x-x=-4+10[/tex]

Combine like terms;

[tex]4x=6[/tex]

Divide by 4.

[tex]\frac{4x}{4}=\frac{6}{4}[/tex]

[tex]x=\frac{6}{4}[/tex]

Simplify by 2.

6/2 = 3

4/2 = 2

[tex]x=\frac{3}{2}[/tex]

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

3.

[tex]\frac{x^2-7x+10}{x}+\frac{1}{x}=x+4[/tex]

Same denominator, add numerators.

[tex]\frac{x^2-7x+10+1}{x}=x+4[/tex]

[tex]\frac{x^2-7x+11}{x}=x+4[/tex]

Multiply by x to get rid of the x.

[tex](x)\frac{x^2-7x+11}{x}=(x+4)(x)[/tex]

[tex]x^2-7x+11=x^2+4x[/tex]

Subtract [tex]-x^2-4x[/tex]

[tex]x^2-7x+11-x^2-4x=0[/tex]

Combine like terms;

[tex]-11x+11=0[/tex]

Subtract 11.

[tex]-11x=-11[/tex]

Divide by -11

[tex]x=\frac{-11}{-11} \\x=1[/tex]

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

4.

[tex]\frac{x^2+7x+10}{5x-30}+\frac{x}{x-6}=\frac{x^2-13x+40}{5x-30}[/tex]

It's easier if you move the operation with denominator x+6 to the right side with negative sign and bring the operation on the right side to the left side with negative sign as well.

[tex]\frac{x^2+7x+10}{5x-30}-\frac{x^2-13x+40}{5x-30}=-\frac{x}{x-6}[/tex]

Now, since we have the same denominators, we can simply subtract numerators.

[tex]\frac{x^2+7x+10-(x^2-13x+40)}{5x-30} =-\frac{x}{x-6}[/tex]

Distribute the negative sign.

[tex]\frac{x^2+7x+10-x^2+13x-40}{5x-30} =-\frac{x}{x-6}[/tex]

Combine like terms;

[tex]\frac{20x-30}{5x-30}=-\frac{x}{x-6}[/tex]

Factor.

I can see that I can factor a 5 on both numerator and numerator. This will allow me to simplify them.

[tex]\frac{(5)(4x-6)}{(5)(x-6)} =-\frac{x}{x-6}[/tex]

Simplify.

[tex]\frac{4x-6}{x-6}=-\frac{x}{x-6}[/tex]

Multiply by x-6

[tex](x-6)\frac{4x-6}{x-6}=-\frac{x}{x-6}(x-6)[/tex]

This will simplify the denominators.

[tex]4x-6=-x[/tex]

Add x and 6.

[tex]4x+x=6\\[/tex]

Combine like terms;

[tex]5x=6[/tex]

Divide by 5.

[tex]x=\frac{6}{5}[/tex]

Elsie starts a food blog. In the first month, there are 46 new subscribers. Each month after that, the number of new subscribers
increases by 15 more than the number of new subscribers in the previous month. At this rate, what will be the total number of
subscribers after 8 months?

788

394

151

848

Answers

Answer:C 151

Step-by-step explanation:

7 * 15=105 + 46=151

Answer: 788

Step-by-step explanation:

A spinner has 5 equal sections labeled 1 through 5. The bar graph shows the results of spinning the spinner 100 times. Which statement is true about not spinning a 1?

Answers

Answer:

The experimental probability is less than the theoretical probability.

Step-by-step explanation:

The probability of not spinning a 1 is the complement is 0.8.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The theoretical probability of not spinning a 1 is 4/5 or 0.8.

This is because there are 4 sections labeled 2 through 5 that are not labeled 1, out of a total of 5 sections.

The probability of spinning a 1 is 1/5 or 0.2.

So the probability of not spinning a 1 is the complement of that, which is 4/5 or 0.8.

or

= 1 - 1/5

= 4/5

= 0.8

Thus,

The probability of not spinning a 1 is the complement is 0.8.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ3

Round your answer to the nearest hundredth_
A
?
6
4

Answers

Answer:

Step-by-step explanation:

arc sin (4/6) = 41.81

The slope field shown below is for the differential equation

y ' = 2x
y ' = 4 - 2x
y ' = y
y ' = x + y

Thank you in advance!

Answers

Answer:

y' = y

Step-by-step explanation:

The slopes are independent of x.  So the only possible answer is y' = y.

Hunter earned a grade of 5% on his multiple-choice math final that had a total of 60 problems. How many problems on the final exam did Hunter answer correctly?

Answers

Answer:

3

Step-by-step explanation:

From the information given in the statement, you can find the number of problems that Hunter answered correctly by calculating the 5% of 60. This because 5% is the grade that he got which means that he only had 5% of his answers correctly and 60 is the total number of problems:

60*5%= 3

According to this, Hunter answered correctly 3 problems on the final exam.

Simplify the expression to a polynomial in standard form:
(x – 3)(x2 – 7x - 2)

Answers

Answer: x to the third power minus 10x to the second power plus 19x plus 6 .

The amount of money that Li spends on video games depends on how
many games he purchases. If Li has at most $90 to spend on games for his
Xbox 360 and the games cost $22.50 each, what is the domain of this
function?

Answers

Answer:

x < 4

Step-by-step explanation:

The function is represented by this equation:

22.5x = y

Where x is the number of games he buys and y is the amount of money that he spends. We know that y cannot be greater than 90, because Li only has 90 dollars. So, if y is less than 90, 22.5x must be less than 90 as well.

22.5x < 90

x < 90/22.5

x < 4

Compute the requested value. Choose the correct answer.
If the cost is $58.00 and the selling price is $63.00, then what is the percent of increase?
It is
%

Answers

Answer:

8% percent I think

Step-by-step explanation:

Other Questions
How long does it take for Earth to make one rotation on its axis? A. 1 day B. 1 month C. 1 hour D. 1 year (HELP) A region periodically experiences ample rainfall and ideal temperatures. If thepopulation also experiences little disease at that time, the region is mostlikely to have a(n) ___. a. decreasing food supply b. decreasing population c. increasing popularity d. increasing carrying capacity i really need help guys can some one plz help me it's for 10 points 3 + 8 = 152x 8y = 10 Jos represents the linear function f(x) = 5x 7 with words.Multiply each element in the domain by negative 7 and add 5.Correct his error. Which is the graph of f(x) = 2(3)*? A square pyramid is sliced parallel to the base and halfway up the pyramid. Which of these describes the cross section?A square smaller than the baseA quadrilateral that is not a squareA square the same size as the baseA triangle with a height the same as the pyramid Help me with this please Refer to the article "The Value of Money" in your Money, Money, Money magazine for a complete version of this text.Which excerpts from "The Value of Money" show a cause-and-effect relationship?Select Yes or No for each excerpt.YesNo"More demand for a product increases how much of the product is produced."Yes No "Governments printing and circulating more money is a way for them to increase inflation on purpose."Yes No"This cycle of increased spending and increased production is good for an economy."Yes No"This means that wages have not kept up with inflation when it comes to housing prices."Yes No Can someone give me a writing idea? What is the common difference of the arithmetic sequence?7,2, -3, -8. - 13....A)-20B)--55D)20 inverse of f(x)=50000(0.8)^x The ratio of the length to the width of a rectangle is 3:2. What is the width of the rectangle if thelength is 24?a:36b:12c:16d:23 Bless ur heart ( ur a huge help) Who killed Julius Caesar? Market researchers have determined nine categories of lifestyles for computer users. One of the categories is described as "Mouse Potatoes," who like the Internet for entertainment and can't wait to buy the latest in "techno-entertainment." In terms of the diffusion process, how would "Mouse Potatoes" be classified? Danielle Corporation manufactures and sells a single product. The company uses units as the measure of activity in its budgets and performance reports. During May, the company budgeted for 8,200 units, but its actual level of activity was 8,250 units. The company has provided the following data concerning the formulas used in its budgeting and its actual results for May:Data used in budgetingFixed element per month Variable element per unitRevenue $34.20Direct labor $0 $6.20Direct materials 0 13.80Manufacturing overhead 37,000 1.70Total expenses $62,500 $21.90Selling and administrative expenses 25,500 0.20Actual results for May:Revenue $228,900Direct labor $41,130Direct materials $93,235Manufacturing overhead $43,500Selling and administrative expenses $30,470The direct materials in the flexible budget for May would be closest to:________.a. $89,735.b. $92,230.c. $90,420.d. $91,020. A great reformer. How far do you agree with this view of Napoleon? Solve this system of linear equations. Separatethe x- and y-values with a comma.-9x = 16 - y12x = -5 - y Benvolio can be described as a foil for Mercutio because Benvolio *