please assist me with these problems​

Please Assist Me With These Problems

Answers

Answer 1

Part (a)

Answer: y1 and y3 are perpendicular

This is because the two slopes 2 and -1/2 multiply to -1. Perpendicular slopes multiply to -1 assuming neither line is vertical or horizontal.

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

Part (b)

Graph each line to see where they cross. The three points of intersection are

(0,4)

(2,-2)

(4,2)

The order of the points doesn't matter.

You could also form three systems of equations pairing up the equations, and solving each system. That way you can find the points of intersection. Graphing may be a better and faster route in my opinion. See the diagram below.

Please Assist Me With These Problems
Answer 2

Answer:  c) y₁ and y₃ are perpendicular

Step-by-step explanation:

Perpendicular (⊥) means the lines have opposite (change the sign) and reciprocal (flip the fraction) slopes.

 y₁ = 2x - 6

        ↓

  m= 2

m⊥= -(1/2)

                          y₂ = -3x + 4

                                  ↓

                             m= -3

                           m⊥= +(1/3)

                                                         y₃ = -(1/2)x + 4

                                                                   ↓

                                                          m= -(1/2)

                                                       m⊥= +2

y₁ and y₃ have opposite reciprocal slopes so they are perpendicular to each other.


Related Questions

Gavin drew a circle with a circumference of 10π centimeters. Which best represents the area of Gavin's circle in square centimeters?

Answers

Answer:

78.5cm^2

Step-by-step explanation:

Circumference equation = 2πr with radius r

10π = 2πr so r = 10π/2π = 5

Area of circle = πr^2

π * 5^2 = π * 25 = 25π = 78.53981... = 78.5 cm^2

you are helping your sister plan her sweet 16. the venue you want to host it at charges $75 for every 3 guest as well as a rental deposit of $200 write an equation to determine the total party cost

Answers

Answer:

y = 25x + 200

Step-by-step explanation:

y =  the total cost of the party

x = the number of guests

75/3 = 25

25 is the cost per guest.

Helping in the name of Jesus.

c or b???????????????

c or b???????????????

Answers

Answer:

i think it's b4

Step-by-step explanation:

Look at this table what value is missing from the table ?

Look at this table what value is missing from the table ?

Answers

Ok, it seems that the table gives the values of a function that reltes time and speed, to complete it we are gonna need to find that function.

if you saved your 76$ monthly allowance for 3 years, how much money would you have?

Answers

76x is the equation to use where x = months. 3 years = 36 months. 76(36)= 2,736. So after three years, you would have $2736 saved
you would have 2736 dollars.

What base could be written in the blank to make the exponential function model 15% decay? y=(_)t1/2

Answers

The exponential function that models a 15% decay is: y = (0.85)^t^(1/2)

To find the base that could be written in the blank to make the exponential function model a 15% decay, we can start by understanding the nature of exponential decay.

The general formula for exponential decay is given by:

y = A(1 - r)^t

Where:

y represents the final amount or value after time t.

A is the initial amount or value.

r is the decay rate (expressed as a decimal).

t is the time.

In this case, we want to find the decay rate (r) that corresponds to a 15% decay. A 15% decay means that the final amount is 85% of the initial amount. So, we can write the equation as:

y = A(1 - 0.15)^t

Simplifying further:

y = A(0.85)^t

Comparing this equation to the given form y = (_)t^(1/2), we see that the base in the blank must be 0.85.

Therefore, the exponential function that models a 15% decay is:

y = (0.85)^t^(1/2)

This equation represents a scenario where the initial value or amount (A) is being reduced by 15% over time (t), with the exponent of 1/2 indicating that the decay occurs at a square root rate.

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Pat's income is 20 % more than Adam. How much percent is Adam's income less than Pat's?

Answers

Adam's income is 16.67% less than Pat's income.

Let's assume Adam's income is $100

Then Pat's income is 20% more than Adam's income, which means Pat's income is:

                 $100 + $20 = $120

Now, we need to find out how much percent Adam's income is less than Pat's income. We can use the following formula to calculate the percentage decrease:

Percentage decrease = (Decrease in value / Original value) x 100

Decrease in value is the difference between Pat's income and Adam's income, which is:

                            $120 - $100 = $20

The original value is Pat's income, which is $120

So, the percentage decrease in Adam's income compared to Pat's is:

(20 ÷ 120) × 100

= 0.16666 × 100

= 16.666%

= 16.67% (approx)

Therefore, Adam's income is 16.67% less than Pat's income.

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a certain number plus two is five find the number​

Answers

x=3

Step-by-step explanation:

x+2=5

x=5-2

x=3

PLEASE WILL NAME BRAINLIST
The table shows the length y (in inches) of a person’s hair after x months.

months x: 0 3 6
hair Length y:11.0 12.5 14.0

a. Write and graph a linear function that relates y to x .
y=
b. Interpret the slope and the y-intercept

The slope indicates that the hair length increases by what
inch per month. The y-intercept indicates that the initial hair length is what
inches.

Answers

The difference between 11.0 and 12.5 is 1.5 and same with 12.5 and 14.0, so 1.5 is what the hair increases by every THREE months but if you want to find PER month, you are going to divide 1.5 by those 3 months to get .5 inches per month, so your slope will be 1/2

Which of the following is most likely the next step in the series?
B

Which of the following is most likely the next step in the series?B

Answers

Answer:

C

Step-by-step explanation:

The pattern seems to go as follows:

1. Top left portion is in blue

2. Top left portion is in blue as well as the rest of the upper half filled with red.

3. Another portion of blue is added directly underneath the red.

This leads me to believe that the colors are alternating from blue to red to blue to finally, red. This makes your answer C. Please let me know if you still need help!

The answer would be C because if you match the color with the number, then C would make the most sense and would be the correct answer. For example, the circle started of with a blue triangle and with number 1 then it had a red triangle with number 2 , and hence if you follow and match the color and the numbers. It would lead you to your answer.

Therefore, the correct answer is C. Hopefully this helps.

True or false? ( 1x77x36x89x868x757x=68x88x88x765x7)

Answers

Answer:

false

Step-by-step explanation:

Answer:

TRUE

Step-by-step explanation:

Im sorry if im wrong

math math math math math math math​

math math math math math math math

Answers

The angle m∠JIX is 90 degrees.

How to find angles in line intersection?

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

How to find the angles?

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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If 16= seven
nine = IV,
XLV =9
105= fourteen
and two = III

Then what is LXXXVIII?

Answers

Answer:

88

Step-by-step explanation:

L = 50, X = 10, V = 5, I = 1

LXXXVIII is: \((50*1)+(10*3)+(5*1)+3\)

This is going off of pure roman numerals, I don't know if there's a special system behind this.

edit: nvm there is

The value of  LXXXVIII will be equal to 88

What will be the value of  LXXXVIII?

We know that  

L=50

X=10

V=5

I=1

So from the above values

\(\rm LXXXVIII=(50\times1)+(10\times3)+(5\times1) +(3\times1)=88\)

Thus the value of  LXXXVIII will be equal to 88

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Triangle FGH, with vertices F(-5,-7), G(-2,-5), and H(-6,-2), is drawn inside a rectangle, as shown below.

Answers

The area of the triangle FGH is equal to  13√10 unit²

Given that the vertices;

F(-5,-7), G(-2,-5), and H(-6,-2)

We have to find the area of the triangle as;

Area of triangle = 1/2bh²

Here,

Area of triangle FGH = 1/2 (GH) (FG)²

Now,

Length of FG =  √26

Length of GH =  √10

Then,

Area of triangle FGH = 1/2 (GH) (FG)²

Area of triangle = 1/2 × √10 × √26²

Area of triangle = 1/2 × √10 × 26

Area of triangle FGH = 13√10

Therefore,

The area of the triangle FGH = 13√10 unit²

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Find the x-intercept of the line graphed by the equation x - 7y = 7. (0, 14) (7, 0) (14, 0) (0, 7)

Answers

x-7y=7
To find the x-intercept, substitute y=0
x-7×0=7
x-0=7
x=7
∴ the x-intercept of the line is (7,0)

Dawn was driving at a steady speed of 67 mph for 10 minutes. How far did she travel in that time?​

Answers

Answer:

11 1/6 miles

Step-by-step explanation:

10 min = 1/6hr

67 * 1/6 = 11 1/6 miles

In western music, an octave is divided into 12 pitches. For the film Close Encounters of the Third Kind, director Steven Spielberg asked composer John Williams to write a five-note theme, which aliens would use to communicate with people on Earth. Disregarding rhythm and octave changes, how many five-note themes are possible if no note is repeated?

Answers

Answer:

This should be a permutation

Step-by-step explanation:

P (n, r) = n!/(n-r)!

P (12,5) = 12!/(12-5)!

P (12,5) = 12!/7!

P(12,5) = 95040

I WILL GIVE THE BRAINIEST

A high school class is planning a field trip to an art museum in their city. The class collected a total of $1259 from all of the students, which will go towards renting a bus, museum admission, and lunch
However, a week before the trip 9 students had to drop out and their portion of the collected money had to be given back to them. Due to this, the students that are all still going must contribute an
Now let a be the number of students who went on the trip and s9 be the original number of students who had planned to go on the trip
What equation can be written to determine the number of students that went on this trip?

I WILL GIVE THE BRAINIESTA high school class is planning a field trip to an art museum in their city.

Answers

An equation can be written to determine the number of students that went on this trip is: C. \(\frac{1259}{s} + 12=\frac{1259}{s+9}\)

How to write an equation to determine the number of students that went on this trip?

In order to write an equation to determine the number of students that went on this trip, we would have to assign a variable and an expression to the number of students who went on the trip and the original number of students who had planned to go on the trip as follows;

Let the variable s represent the number of students who went on the trip.Let the expression s + 9 represent the original number of students who had planned to go on the trip.

Since a total of $1259 was collected from all of the students with 9 students dropping out and their portion of the money collected given back to them while the students that are all still going must contribute an additional $12, an equation to determine the number of students that went on this trip is given by;

\(\frac{1259}{s} + 12=\frac{1259}{s+9}\)

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Complete Question:

A high school class is planning a field trip to an art museum in their city. The class collected a total of $1259 from all of the students, which will go towards renting a bus, museum admission, and lunch.

However, a week before the trip 9 students had to drop out and their portion of the collected money had to be given back to them. Due to this, the students that are all still going must contribute an additional $12 each to cover all of the cost.

Now let s be the number of students who went on the trip and s + 9 be the original number of students who had planned to go on the trip

What equation can be written to determine the number of students that went on this trip?

what is the equivalent ratio of 2 over 9?​

Answers

There’s many answers such as 4/18 or 8/36

On the coordinate plane, plot the following points. Then, connect the points in order from A to E then back to A to form a figure. what is the area of the figure?
A (1, 2) B (1, 7) C (9, 7)
D (9, 3) E (6, 5)

On the coordinate plane, plot the following points. Then, connect the points in order from A to E then

Answers

The calculated area of the figure is 59/2 square units

Calculating the area of the figure

From the question, we have the following coordinates that can be used in our computation:

A (1, 2) B (1, 7) C (9, 7) D (9, 3) E (6, 5)

The area is then calculated as

Area = 1/2 * | (x1y2 + x2y3 + ... + xny1) - (y1x2 + y2x3 + ... + ynx1) |

So, we have

Area = 1/2 * | (1 * 7 + 1 * 7 + 9 * 3 + 9 * 5 + 6 * 1) - (2 * 1 + 7 * 9 + 7 * 9 + 3 * 6 + 5 * 1) |

Evaluate

Area = 1/2 * 59

So, we have

Area = 59/2

Hence, the area is 59/2 square units

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A total if 713 tickets were sold. They were either adult or student tickets. There were 63 more student tickets sold than adult tickets. How many adult tickets were sold

Answers

There were 325 adult tickets sold that day student had 388 tickets

So, total no. of tickets = 713

Let the no. of tickets sold to adults be x

Then the no. of tickets sold to student = x + 63

Now, we have the equation as

⇒ x + x + 63 = 713

⇒ 2x = 713 - 63

⇒ 2x = 650

⇒ x = 650/2

⇒ x = 325 tickets

What is an equation?

An equals symbol (=) is fundamental in equations. You can think of an equation as having a left-hand side and a right-hand side as there will be a mathematical expression on either side.

Imagine a set of scales to represent an equation. To solve it, each side must be balanced, even if you place different amounts on the left or right.

There is always an unknown in an algebraic equation. A symbol, such as x, y, or z, is used to symbolize this.

Here's an illustration of an equation:

y + 5 = 10

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Point A is located in which quadrant? On a coordinate plane, point A is at (negative 3, 5). Quadrant I Quadrant II Quadrant III Quadrant IV

Answers

Point a is located in Quadrant 1

Answer:

quadrant 2

Step-by-step explanation:

A survey asked people whether their pets are picky eaters. For theseresults, are being a picky eater and being a dog independent ordependent events? Justify your answer.PickyNot picky TotalCats111425Dogs61925Total173350A. Independent;P(picky) = 34%P(doglpicky) = 35%Since these probabilities are nearly equal, the events areindependent.B. Dependent;P(picky) = 34%P(pickyldog) = 24%Since these probabilities are not equal, the events aredependent.c. Dependent;P(picky) = 34%P(doglpicky) = 35%Since these probabilities are not equal, the events aredependent

A survey asked people whether their pets are picky eaters. For theseresults, are being a picky eater

Answers

Given:

The data table of the survey of pets is given.

Required:

Find results, are being a picky eater and being a dog with independent or dependent events.

Explanation:

The total number of pets = 50

The number of picky eater pets = 17

The probability of an event is given by the formula:

\(P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}\)

The probability of randomly choosing a picky eater is:

\(\begin{gathered} P(picky)=\frac{17}{50} \\ P(picky)=0.34 \\ P(picky)=34\% \end{gathered}\)

The total number of dogs = 25

The number of picky eater cats = 6

The probability of a picky eater dog

\(\begin{gathered} P(picky\text{ \mid cat \rparen=}\frac{6}{25} \\ P(picky\text{ \mid cat \rparen=0.24} \\ P(picky\text{ \mid cat \rparen=24}\% \end{gathered}\)

We notice that both results are different. The fact that the pet selected is a dog changes the probability of P(picky).

This means the events are dependent.

Final Answer:

Option B is the correct answer.

Which of the following is true about the linear function 4x+2y=12
1.it has a slope of -2 and a y intercept of 6
2. It has a slope of -2 and a y intercept of 12
3 it has a slope of -1/2 and a y intercept of 6
4 it has a slope of -4 and a y intercept of 12

Answers

Answer:

i believe is 4

Step-by-step explanation:

If you 2y=-4x+12

need to get the Y by it self

The correct answer is that it has a SLOPE of -2 and a y-intercept of 6 so the answer is #1

40% of the plants in Marcy's garden are root vegetables. If 20 plants are root vegetables, how many plants are in Marcy's garden in all?

Answers

Answer:

dont do anything if im wrong but i thinks its 50 plants

Step-by-step explanation:

E

Please help me i don't know
this is 7 grade math :(

Please help me i don't know this is 7 grade math :(

Answers

Answer: D, 1728

Step-by-step explanation: multiply the base, width and height

However, we must leave one inch at the top so 10 becomes 9

Working out- 24x8x9=1728

Which of the following is the fourth vertex needed to create a rectangle with vertices located at (−15, 3), (−15, −6), and (25, −6)?
(−6, 25)
(−25, −3)
(6, −25)
(25, 3)

Answers

The missing fourth vertex needed to create a rectangle is (25, 3) option D.

Define the term vertices?

Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.

Here, the width of one side of the rectangle;

⇒ +3 - (-6) = 9 unit                (left side y-coordinates)

Similarly the length of the rectangle;

⇒ 25 - (-15) = 40 unit             (up-side x-coordinates)

Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)

So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:

⇒ (25, -6+9) = (25, 3)

⇒ (-15+40, 3) = (25, 3)

Therefore, the missing fourth vertex is (25, 3)

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1.
Anthony has a sink that is shaped like a half-sphere. The sink has a volume of 3000/3 π, in^3?. One day, his sink
clogged. He has to use one of two cylindrical cups to scoop the water out of the sink. The sink is completely
full when Anthony begins scooping.
(a) One cup has a diameter of 5 in, and a height of 6 in. How many cups of water must Anthony scoop
out of the sink with this cup to empty it? Round the number of scoops to the nearest whole
number. Show all your work.
(b) One cup has a diameter of 6 in, and a height of 6 in. How many cups of water must he scoop out of
the sink with this cup to empty it? Round the number of scoops to the nearest whole number.Show all your work

Answers

Answer:

a) 27
b) 19

Step-by-step explanation:

a) Calculate the volume of the the cup using volume of cylinder equation: \(V = \pi r^{2} h\)

Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches (\(in^3\)).
You're given diameter, so use equation \(d/2 = r\) to find radius.
Substituting these equations will give you: \(V = \pi (d/2)^2 h\)
However, the given volume of the sink is 3000/3\(\pi\) or 1000\(\pi\), meaning that you should modify your results to match this value. Do not substitute \(\pi\) for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 \(\pi\)
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
\(Vsink / V cup =\) # of cups.
Note the the \(\pi\) will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.

Solve for x −ax + 2b > 8

Answers

Answer:

x < -( 8-2b) /a  a > 0

Step-by-step explanation:

−ax + 2b > 8

Subtract 2b from each side

−ax + 2b-2b > 8-2b

-ax > 8 -2b

Divide each side by -a, remembering to flip the inequality ( assuming a>0)

-ax/-a < ( 8-2b) /-a

x < -( 8-2b) /a  a > 0

Answer: \(x<\frac{-8+2b}{a}\)

                  \(a>0\)

Step-by-step explanation:

\(-ax+2b>8\)

\(\mathrm{Subtract\:}2b\mathrm{\:from\:both\:sides}\)

\(-ax>8-2b\)

\(\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\)

\(\left(-ax\right)\left(-1\right)<8\left(-1\right)-2b\left(-1\right)\)

\(ax<-8+2b\)

\(\mathrm{Divide\:both\:sides\:by\:}a\)

\(\frac{ax}{a}<-\frac{8}{a}+\frac{2b}{a};\quad \:a>0\)

\(x<\frac{-8+2b}{a};\quad \:a>0\)

243, 81, 27, 9, 3, 1
Which of the following is the next term in the geometric sequence show above?

A. \\\ -3
B. \\\\ -1
C. \ -1/3
D. \\\\\\\ 0
E. \\\\\\ 1/3

Answers

Answer:

E. 1/3

Step-by-step explanation:

In this sequence, the numbers are descending and are 1/3 of the previous number.

243 / 3 = 81

81 / 3 = 27

9 / 3 = 3

3 / 3 = 1

1 / 3 = 1 / 3 (the next term)

Other Questions
You've brought 5 cakes to the schooldance and you want to be sure there'senough cake for everyone.Here's a formula for this scenario:y=xa/5X = number of people at the dancey = number of slices per cakea = number of slices each person will eat Which of the following is not true aboutboth scientific laws and scientifictheories?Both are based on hypothesesBoth can be used to make predictionsBoth are used to explain why a phenomenonhappensBoth can be modified if new evidence arises The Ohio Corporation had a 2018 taxable income of $50,000,000 from operations after all operating costs but before (1) interest charges of $500,000, (2) dividends received of $45,000, (3) dividends paid of $10,000,000, and (4) income taxes. Using the tax schedule in Table 2.3, what is Ohio's income tax liability? What are Ohio's average and marginal tax rates on taxable income from operations? Multiple Choice: a. $6.416,667, 12.83%, 35%, respectively b. $17,329,725, 34.66%, 35%, respectively c. $13,829725, 2766%, 35%, respectively d. $17,340,750, 34 68%, 35%, respectively the nurse is caring for a 15-year-old client who is undergoing chemotherapy for leukemia. which would the nurse recognize that adolescents with health problems are most concerned about? The entropy of an isolated system must be conserved, so it never changes.a. Trueb. Fasle When exercising in your target heart zone, your heart rate should be in what percentage of your maximum heart rate?. suppose that judah wants to become a virtuous person but does not know where to begin. which of the following routes would a virtue ethicist be likely to recommend?group of answer choiceshe should go out into the world and begin to randomly select character traits, until at a certain point, through trial and error, he would have discovered virtue.he should look for an individual who embodies virtue and then imitate this person, much like an apprentice learns from a master of some skill.he should pray to a divine creator for the necessary moral knowledge.he should read and reread the works of immanuel kant until the truth about what it means to be virtuous becomes manifest. 6. (1) Propaganda is information that is methodically spread in order to persuade audiences to adopt a certain opinion. (2) Advertising is an ever-present form of propaganda in our lives. (3) Four common propaganda techniques are present in the advertising we see and hear every day. (4) One technique, the testimonial, involves having a well-known person appear on behalf of the product being sold. (5) Advertisers assume, for example, that if we admire a sports star, well want to eat the cereal he or she endorses. (6) Another common propaganda technique, the bandwagon, makes us want to be one of the gang. (7) Everybodys switching to . . . Dont be left out . . . and All across America, people are discovering . . . are phrases that signal a bandwagon approach. (8) The plain-folks propaganda technique is especially popular on TV. (9) In plain-folks commercials, we see and hear regular consumers talk about their experience using a certain phone company, headache remedy, or brand of coffee. (10) The fourth common propaganda technique, the transfer, encourages us to link two unrelated objects in our mind. (11) When a powerful cougar prowls around a shiny new car, for example, advertisers hope we will transfer our sense of the wild cats speed, strength, and beauty to our vision of their product. MAIN IDEA in most jurisdictions around the world where probation is an established sanction, the agency responsible for probation does each of the following except: The scholastic assessment test is standardized to be normally distributed with a mean =500 and a standard deviation =100. What percentage of SAT scores fallsa. between 500 and 600b. between 400 and 600c. between 500 and 700d. between 300 and 700e. above 600f. below 300 What is the criticism in A Modest Proposal? Altering a books content is an example ofediting an amendment starting a revolution writing a constitution censoring information a schizophrenic client is being assessed by the nurse. the client is demonstrating positive symptoms. which symptoms would be considered positive? what happened to the lusitania cirrhosis and korsakoff's syndrome are two of the consequences of chronic __________ consumption. As humans, do our energy needs and obtaining of that energy differ from other animals don has a garden that has a width that is 5 feet less than 4 times the length. the garden length is x feet. Write an expression that could be used to find the width, W, of the garden given the length. _____ is the process of taking many things and separating them into categories.a. Comparingb. Contrastingc. Classifyingd. Dividing if a company needs a storage solution that has the fastest recording and retrieval time along with high storage capacity, what storage solution should the company use? mark draws one card from a standard deck of 52. he receives $0.45 for a diamond and $0.60 for a queen, but $0.80 for the queen of diamonds. how much could he pay to play this game per draw if he expects to break even in the long run?