which binomial is the additive inverse of 5 + 2C

Answers

Answer 1

Answer:

-5-2c

Step-by-step explanation:

The additive inverse of a term must be the opposite of it.

●-(5+2c)

●-5-2c

Answer 2

Answer:

Step-by-step explanation:

The additive inverse is just the opposite of the binomial in terms of the signs. The additive inverse of 5 + 2C is -(5 + 2C) which is, without parenthesis,        -5 - 2C.


Related Questions

Classify the following triangle. Check all that apply.
A. Obtuse
B. Isosceles
C. Scalene
D. Equilateral
E. Acute
F. Right

Answers

Answer:

isosceles

Step-by-step explanation:

Volume of a Triangular Prism
Instructions: Find the volume of each figure. Round your answers to the nearest tenth, if necessary.

Answers

Answer:

348 km³

Step-by-step explanation:

The volume of the triangular prism can be calculated using the formula, Volume = base area of the prism*the length of the prism

Base area of the prism = area of triangle =  ½*base of the triangle*height of the triangle

Base of the triangle = 12 km

Height of the traingle = 5.8

Therefore,

Base area = ½*12*5.8

= 6*5.8

Base area = 34.8 km²

Length of prism = 10 km

Volume of prism = base area*prism length

= 34.8*10

Volume of triangular prism = 348 km³

PLs answer ASAP will make you brainlist

Answers

Answer:

[tex]\boxed{\sf A. \ 36}[/tex]

Step-by-step explanation:

The triangles are congruent. The sides are proportional.

Let x be the length of FQ.

[tex]\frac{24}{18} =\frac{x}{27}[/tex]

[tex]\sf Multiply \ both \ sides \ by \ 27.[/tex]

[tex]\frac{24}{18}(27)=\frac{x}{27}(27)[/tex]

[tex]36=x[/tex]

Sunland Mining Company purchased land on February 1, 2020, at a cost of $975,900. It estimated that a total of 57,600 tons of mineral was available for mining. After it has removed all the natural resources, the company will be required to restore the property to its previous state because of strict environmental protection laws. It estimates the fair value of this restoration obligation at $110,700. It believes it will be able to sell the property afterwards for $123,000. It incurred developmental costs of $246,000 before it was able to do any mining. In 2020, resources removed totaled 28,800 tons. The company sold 21,120 tons.

Answers

Sunland Mining Company purchased land on February 1, 2020, at a cost of $975,900. It estimated that a total of 57,600 tons of mineral was available for mining. After it has removed all the natural resources, the company will be required to restore the property to its previous state because of strict environmental protection laws. It estimates the fair value of this restoration obligation at $110,700. It believes it will be able to sell the property afterwards for $123,000. It incurred developmental costs of $246,000 before it was able to do any mining. In 2020, resources removed totaled 28,800 tons. The company sold 21,120 tons.

Calculate :

a. Per unit mineral cost.

b. Total material cost of December 31, 2020, inventory

c.  Total materials cost in cost of goods sold at December 31, 2014.

Answer:

a. Per unit mineral cost  is $21

b. Total material Cost of ending inventory is $161280

c. Total materials cost in cost of goods sold is  $443520

Step-by-step explanation:

The Per unit mineral cost can be computed as follows:

Details                                           Amount ($)

Cost of land                                  975900

Add: Restoration obligation         110700

Add: Development cost              246000  

                                                     1332600

Less: Resale value of property    123000

Total cost of land                         1209600  

Divide:Total estimated cost            57600  

of minerals    

Per unit mineral cost                               21

b. The ending inventory cost on December 31, 2020 can be calculated as follows:

Ending inventory = Total mined tons - sold tons

Ending inventory = 28800 - 21120

Ending inventory = 7680

Cost per ton= $21

Cost of ending inventory = 7680 × $21

Cost of ending inventory = $161280

c.To calculate the cost of goods sold in December 2020; we have:

Cost per ton = $21

Total units sold = 21120

Cost of goods sold = 21120 × $21

Cost of goods sold = $443520

What the answer now hurry up and answer fast question

Answers

Answer:

927.0 cm²

Step-by-step explanation:

Step 1: find Z

m < Z = 180 - (28 + 118) (sum of ∆)

= 180 - 146

Z = 34°

Step 2: Find side XY using the law of sines

[tex] \frac{XY}{sin(34)} = \frac{42}{sin(28)} [/tex]

Cross multiply

[tex] XY*sin(28) = 42*sin(34) [/tex]

[tex]XY*0.469 = 42*0.559[/tex]

Divide both sides by 0.469

[tex]\frac{XY*0.469}{0.469} = \frac{42*0.559}{0.469}[/tex]

[tex]XY = 50.06[/tex]

XY ≈ 50 cm

Step 3: find the area.

Area of ∆ = ½*XY*YZ*sin(Y)

XY ≈ 50 cm

= ½*50*42*sin(118)

= 25*42*0.8829

Area = 927.045

Area ≈ 927.0 cm² (nearest tenth)

given that sin x equals to a over b then what is tan x ​

Answers

Answer:

Hey there!

Sine is equal to opposite/hypotenuse

Tangent is equal to opposite/adjacent

opposite=a

hypotenuse=b

adjacent=c

Thus, tangent x= a/c.

Hope this helps :)

Answer:

tan x = a/sqrt(b^2 - a^2)

Step-by-step explanation:

sin x = a/b = opp/hyp

tan x = opp/adj

adj^2 + opp^2 = hyp^2

adj^2 + a^2 = b^2

adj = sqrt(b^2 - a^2)

tan x = a/sqrt(b^2 - a^2)

Identify whether the relations given in the options are functions or not.

Answers

Answer:

Graphs 1, 2, and 3 are not functions. Graph 4 is a function.

Step-by-step explanation:

Use the vertical line test.

Imagine a vertical line moving from left to right.

If in any position of the vertical line, it intersects more than one point on the graph, then it is not a function.

In graphs 1 and 2 it is clear that there are many vertical lines than would intersect the graph at more than one point.

In graphs 3, a vertical line would intersect the vertical parts of the graph at more than 1 point, so graph 3 is not a function.

The only function is graph 4.

The relations given in options 1, 2, and 3 are not functions only Graph 4 is a function.

What is the function?

A function is an expression, or rule that defined the relation between two variables.

If we use the vertical line test.

Imagine a vertical line moving from left to right.

If in any position of the vertical line, it intersects more than one point on the graph, then it is not a function.

In graphs 1 and 2 it is clear that there are many vertical lines than would intersect the graph at more than one point.

In graph 3, a vertical line would intersect the vertical parts of the graph at more than 1 point, so graph 3 is not a function.

Learn more about function here;

https://brainly.com/question/21145944

A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of pi

Answers

Answer:

288π

Step-by-step explanation:

V=4 /3πr^3 is the formula. We have the diameter, so the radius is half (6). We now have V=4 /3π(6)^3 = 4/3π216 = 288π.

Suppose there is a bond in ABC Company that that pays coupons of 8.5%, and suppose that these coupons are paid annually.


Suppose the face value of the ABC bond is $1000 and the maturity is 11 years.


a) If the appropriate discount rate for this bond is 6%, what would you be willing to pay for ABC’s bond?


b) If a comparable company, XYZ, has a 7.0% coupon bond with a maturity of 9 years and a face value of 1000, and that bond is trading in the market for $994.50, what would you be willing to pay for ABC’s bond?


c) Suppose you find that the true fair value for ABC bond is $1200.00, but you see that the bond trading for $1051.00, what would you recommend?

Answers

Answer:

$1197.17185

Step-by-step explanation:

ABC bond :

Par value of bond (FV) = 1000

Period (n) = 11 years

Coupon rate (r) = 8.5% annually

Discount rate (r) = 6% = 0.06

The coupon price = 8.5% of par value

Coupon price (C) = 0.085 * 1000 = 85

Current price of bond can be computed using the relation:

= C * [1 - 1 / (1 + r)^n] / r + (FV / (1 + r)^n)

85 * [1 - 1/(1+0.06)^11]/0.06 + 1000/(1 + 0.06)^11

85 * 7.8868745 + 526.78752

670.38433 + 526.78752 = $1197.17185

Rewrite [tex]\frac{200x - 300}{x}[/tex] as a sum of two fractions, and simplify.

Answers

Answer:

We can rewrite this as [tex]\frac{200x}{x} + \frac{-300}{x}[/tex].

[tex]\frac{200x}{x}[/tex] simplifies to 200 after eliminating x from the numerator and denominator and [tex]\frac{-300}{x}[/tex] becomes [tex]-\frac{300}{x}[/tex] so the final answer is [tex]200 - \frac{300}{x}[/tex].

x=y-y and 2x+4y=10 solve using substitution​

Answers

Answer:

(0, 2.5)

Step-by-step explanation:

Well we substitute y-y into x in the following equation,

2x + 4y = 10

2(y-y) + 4y = 10

2y - 2y + 4y = 10

Combine like terms

2y - 2y = 0

4y = 10

10/4

y = 2.5

If y is 2.5 we can plug those into y.

2x + 4(2.5) =10

2x + 10 = 10

-10

2x = 0

0/2

x = 0

Sketch the graph of y = (x - 3)2 - 16, then select the graph that corresponds
to your sketch.
10
-20
20
-5
5
. 10
10
20
A. Graph A
B. Graph B
C. Graph C
Ο Ο
D. Graph D

Answers

Answer:

Please look at the attached graph and select the appropriate answer.

Step-by-step explanation:

Make sure that the graph shows a parabola with branches up, and the vertex situated at the point (3, -16) which corresponds to the double root  x = 3, and the vertical shift that lowers that vertex 16 units below the x-axis.

Please look at the attached picture.

Answer:     Graph   B

Step-by-step explanation:

Help again 《Brainlist》

A six faced dice with numbers 1 thru 6 is thrown twice. No fee is charges to the throws. If the organizer of the game has to payout as many dollars as the result every time an even sum comes up and will receive from the player as many dollars as the result if the sum is odd, in the very long run, when 1 million throws are made,
approximately how much is the winning or loss to the organizer?​

Answers

Answer:

win-263889 loss-236111

Step-by-step explanation:

1:the guys throws the dice twice no charge for this

2:for every face the first time there is a chance of getting the others or the same face e.g round 1-1 round 2-(either 123456)

3:I drew a probability tree to get the sum

like if I got 1and1 then sum is 2 I did it for the rest

4:I got P of (even)=17/36 and for (odd)=19/36

5:then the organizer has to pay if it's even and there 1 million throws Wich means the probability he will lose is the probability of getting an even sum for 500000 throws and for winning is the probability of getting odd sums in those 500,000 throws

6: 500k is because only after it's thrown twice were there charges

I need the answer and maybe someone can tell me how to do it? Please and Thanks!! :))

Answers

Answer:

83

Step-by-step explanation:

The 126 angle is an exterior angle of the triangle.

The 43 and x angles are the two remote interior angles of the 126 angle.

Theorem:

The measure of an exterior angle of a triangle equals the sum of the measures of the remote interior angles.

x + 43 = 126

x = 83

Answer:

x = 83

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

126 = x+43

Subtract 43 from each side

126-43 = x+43-43

83 = x

Anita plans to cover a solid cone with construction paper for a science project. The cone has a diameter of 11 inches and a slant height of 28.5 inches. How many square inches of paper will she need to cover the entire cone? (Use 3.14 for Pi and round to the nearest hundredth. Recall the formula S A = pi r l + pi r squared.) 492.20 in.2 587.18 in.2 982.82 in.2 984..39 in.2

Answers

Answer:

587.18 in²

Step-by-step explanation:

In the above question, we are given the following values

Diameter = 11 inches

Radius = Diameter/2 = 11 inches/2 = 5.5 inches

Slant height = 28.5 inches.

We were asked to find how many square inches of paper will she need to cover the ENTIRE cone.

To solve for this, we would use formula for Total Surface Area of a Cone

Total Surface Area of a Cone = πrl + πr²

= πr(r + l)

Using 3.14 for π

Total Surface Area of a Cone

= 3.14 × 5.5( 5.5 + 28.5)

= 3.14 × 5.5 × (34)

= 587.18 in²

Therefore, Anita will need 587.18 square inches of paper to cover the entire cone.

Answer:

B

Step-by-step explanation: Just trust me bro

Which triangle’s area can be calculated using the trigonometric area formula?

Answers

Answer: Triangle LKM, HGJ,

Explanation:

In order for a triangle to be calculated by using trigonometric area formula that triangle must be given 2 sides and 1 angle (SAS)

Answer:

Triangle klm

Step-by-step explanation:

edg 2020

what is the measure of arc angle EG

Answers

Answer:

80 = EG

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

40 = 1/2 EG

Multiply each side by 2

80 = EG

Answer:

80 deg

Step-by-step explanation:

Theorem:

The measure of an inscribed angle is half the measure of the intercepted arc.

m<EFG = (1/2)m(arc)EG

40 deg = (1/2)m(arc)EG

m(arc)EG = 2 * 40 deg

m(arc)EG = 80 deg

Which is the mean for this data? 1,2,5,5,6,6,7,8

Answers

Answer:

5

Step-by-step explanation:

First you need to add all the digits so 1 +2+5+5+6+6+7+8 = 40

Then, divide that by the number of digits which is 8.

Therefore, 40/8 = 5, which is the answer.

I hope this helped!

Find the area of the triangle.

Answers

Answer:

10.5 cm^2

Step-by-step explanation:

Since we have two sides and the angle between those sides, we can use the alternative area formula:

[tex]A=\frac{1}{2}ab\sin(C)[/tex]

a and b are the two sides while C is the angle in between the two sides.

Plug in the numbers:

[tex]A=\frac{1}{2}(7)(6)\sin(150)[/tex]

Recall the unit circle. Sin(150) is 1/2.

[tex]A=21(\frac{1}{2})[/tex]

[tex]A=21/2=10.5cm^2[/tex]

Si tienes 24 tubos de 6 metros de longitud cada uno para unir dos puntos que conducen agua , si los tubos fueran de 8 metros ¿ cuantos tubos se necesitarían?

Answers

Answer:

Se necesitarían:

18 tubos

Step-by-step explanation:

La longitud total de la tubería con 24 tubos de 6 metros cada uno es:

24*6 = 144 metros

si los tubos fuesen de 8 metros:

144/8 = 18

Se necesitarían:

18 tubos

A Prince came to an Evil Wizard to ask for the release of his beloved Princess, who is locked behind one of three doors. The Evil Wizard offered to release the Princess if the Prince was able to correctly guess which door she was behind. And with this offer, the Evil Wizard gave three hints: 1) The Princess is locked behind door 1 2) A fire-breathing Dragon is locked behind door 2. 3) There is also someone locked behind door 3 The Prince realized that all three hints were false, and with the help of logic, understood which door the Princess was locked behind. Which door was it?

Answers

Answer:

Princess is behind 2

Step-by-step explanation:

If all 3 hints are false, then the princess is not behind 1  ( so it must be 2 or 3)

The dragon is not behind 2 ( so it must be 1 or 3)  

The is no one behind 3  

That means the princess cannot be behind 3 and the dragon cannot be behind 3

The princess is behind 2 and the dragon is behind 1

Simplify $\frac{2\sqrt[3]9}{1 + \sqrt[3]3 + \sqrt[3]9}.$

Answers

Let [tex]x=\sqrt[3]{3}[/tex] and [tex]x^2=\sqrt[3]{9}[/tex]. Then

[tex]\dfrac{2\sqrt[3]{9}}{1+\sqrt[3]{3}+\sqrt[3]{9}}=\dfrac{2x^2}{1+x+x^2}[/tex]

Multiply the numerator and denominator by [tex]1-x[/tex]. The motivation for this is the rule for factoring a difference of cubes:

[tex]a^3-b^3=(a-b)(a^2+ab+b^2)[/tex]

Doing so gives

[tex]\dfrac{2x^2(1-x)}{(1+x+x^2)(1-x)}=\dfrac{2x^2(1-x)}{1-x^3}[/tex]

so that

[tex]\dfrac{2\sqrt[3]{9}}{1+\sqrt[3]{3}+\sqrt[3]{9}}=\dfrac{2\sqrt[3]{9}(1-\sqrt[3]{3})}{1-3}=\sqrt[3]{9}(\sqrt[3]{3}-1)=3-\sqrt[3]{9}[/tex]

Please help me with this question. refer to the image first.

5. The diagram below shows three circles. Circle A has a radius of 2 cm and circle B has a
radius of 1 cm.

PQ is a common tangent and all circles touch one another. Find the radius of the smallest
circle. PL5​

Answers

Answer: The radius of the small circle is about 0.85 cm - 0.95 cm

Explanation: I am not completely sure but I drew the same figure with the same lengths as given and between both circles there is almost a gam of 2.5 - 3 cm and when we draw a circle between them the diameter is about 1.7 - 1.9 so dividing the diameter by 2 to get the radius we get 0.85 cm - 0.95 cm.

Answer:

o.85 to 0.95

Step-by-step explanation:

I got to go so I don' have time to explain!

Find the tangent of the angle in between the lines 2x+3y–5=0 and 5x=7y+3?

Answers

Answer:

tanФ = 2.6363636

Step-by-step explanation:

To find the tangent of the angle in-between the lines we will follow the steps below:

We are going to use the formula;

tanФ = |m₂ - m₁  / 1 + m₁m₂|

We can get the slope m₁ from the first equation

2x+3y–5=0

we will re-arrange it in the form y=mx + c

3y = -2x + 5

Divide through by 3

y = -[tex]\frac{2}{3}[/tex]x + [tex]\frac{5}{3}[/tex]

comparing the above equation with y=mx + c

m₁ =  -[tex]\frac{2}{3}[/tex]

We will proceed to find the second slope m₂ using the second equation

5x=7y+3

we will re-arrange it in the form y=mx + c

7y = 5x -3

divide through by 7

y = [tex]\frac{5}{7}[/tex] x -  [tex]\frac{3}{7}[/tex]

comparing the above with y=mx + x

m₂ = [tex]\frac{5}{7}[/tex]

we can now go ahead and substitute into the formula

tanФ = |m₂ - m₁  / 1 + m₁m₂|

tanФ = | [tex]\frac{5}{7}[/tex] -  (-[tex]\frac{2}{3}[/tex] ) / 1 +  (-[tex]\frac{2}{3}[/tex]₁)( [tex]\frac{5}{7}[/tex])|

tanФ = | [tex]\frac{5}{7}[/tex] +[tex]\frac{2}{3}[/tex]  / 1 -  [tex]\frac{10}{21}[/tex]|

tanФ = | [tex]\frac{29}{21}[/tex] / [tex]\frac{11}{21}[/tex]|

tanФ = | [tex]\frac{29}{21}[/tex] × [tex]\frac{21}{11}[/tex]|

21 will cancel-out 21

tanФ =[tex]\frac{29}{11}[/tex]

tanФ = 2.636363

which is the equation of a line that passes through the point (3,2) and is parallel to the line in the graph?​

Answers

Answer:

A. 3x - 2y = 5

Step-by-step explanation:

Given line in the graph has the following properties:

using point (2,3)

m = slope = (y2-y1)/(x2-x1) = (5-2)/(2-0) = 3/2

New line passes through y0(3,2), so use the point-slope form

(y-y0) = m (x-x0)

substitute in value y0(3,2)

y - 2 = (3/2) (x - 3)

multiply by 2 on each side

2y - 4 = 3x - 9

simplify and rearrange

3x - 2y = -4 + 9 =5

3x - 2y = 5

Find the slope and y-intercept of each line:
a. (x+2)(x+3)=(x-2)(x-3)+y
b. x=my+b

Please show workings, and I won't accept nonsense answers! Don't answer the question if you don't know what it means!!​

Answers

Answer:

See below

Step-by-step explanation:

Part A:

[tex](x+2)(x+3) = (x+2)(x-3) + y[/tex]

Resolving Parenthesis

[tex]x^2+3x+2x+6=x^2-3x-2x+6+y\\x^2+5x+6 = x^2-5x+6+y[/tex]

Subtracting [tex]x^2[/tex] and 6 to both sides

[tex]5x= -5x+y[/tex]

Adding 5x to both sides

[tex]y = 5x+5x\\y = 10x[/tex]

Comparing it with [tex]y = mx+b[/tex] where m is the slope while b is the y-intercept

So,

Slope = m = 10

Y-intercept = b = 0

Part B:

[tex]x = my+b[/tex]

Subtracting b to both sides

[tex]my = x-b[/tex]

Dividing both sides by m

[tex]y = \frac{x-b}{m}\\ y = \frac{x}{m} - \frac{b}{m}[/tex]

Comparing it with [tex]y = mx+b[/tex] where m is the slope while b is the y-intercept

So,

Slope = m = [tex]\frac{1}{m}[/tex]

Y-intercept = b = [tex]-\frac{b}{m}[/tex]

11/10= x+2/5 Please Explain

Answers

Answer:

x=7/10

Step-by-step explanation:

2/5=4/10

11/10=x+4/10

11/10-4/10=x

7/10=x

Answer:

x=7/10 or 0.7

Step-by-step explanation:

I turned the fractions into decimals

so

1.1=x+0.4

subtract 0.4 from 1.1 to get 0.7

Turn it into a fraction which is 7/10

Will give BRAINLIEST to best answer One way to explore a career opportunity is to work as a trainee in your field of interest to gain practical experience. In this experience you would be known as a(n). A intern B. mentor C. tutor D. volunteer

Answers

Answer:

A. Intern

Step-by-step explanation:

Usually as a intern, you go around gaining experience about something. For example, if your a fresh graduate , you would first be hired as an intern to gain experience in the job you want.

Answer:

B:Mentor

Step-by-step explanation:

What is the simplified form of m-4+m

Answers

Answer:

2m - 4

Step-by-step explanation:

Add m and m.

Hope this helps :)

Answer:

[tex]\boxed{2m+4}[/tex]

Step-by-step explanation:

[tex]m-4+m[/tex]

Combine like terms.

[tex]m+m-4[/tex]

[tex]2m-4[/tex]

If you flip a coin three times in the air, what is the probability that tails lands up all three times? A. 1/2 B. 1/8 C. 1/4 D. 1/6

Answers

Answer: A) 1/2

Step-by-step explanation:

Answer:

If you flip a coin three times in the air, what is the probability that tails lands up all three times?

Step-by-step explanation:

1/2

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The function (x) = 6x is vertically shrunk by a factor of and translated 9 units in the negative y- direction. Select the correct graph of the resulting function. Question 9 options: A) image B) image C) image D) image In this video, we see that a _____ magnetic field can create an electric current. In this video, we see that a _____ magnetic field can create an electric current. Changing Perpendicular Strong Dipole For which situations is it appropriate to use a sample? Select three options. Ifx + iy = 11+i/1-iprove that, x + y = 1 I need Help!!!If you were an educational reformer, describe two types of reforms you would propose in order to change education in our society. Explain why you would make these changes.Grade 10 Which of the following are financial measures of performance? a controllable margin b. product quality c. labor production 1. What is the value of x? Show all of your work. Respond to the following based on your reading1. are chemical messengers secreted by glands.2. Exocrine glands, such as sweat glands, secrete fluids through ducts.glands secrete hormones directly into the bloodstream3. The gland plays an important role in puberty and growth4 Epinephrine, triggering the "fight or flight response, is produced by theglands, which sit on top of the kidneys.5. Most glands that secrete hormones operate using feedback mechanisms.When hormone concentrations are high, the gland will produceofthe hormone6. Many cells produce chemicals called hormone-Eke substances thatimpact inflammation and reproduction7. The gland that helps regulate growth, body temperature, and the level ofcalcium in the blood is called the8. Describe the function and compare steroidal and nonsteroidal hormones. Howdoes each type of hormone interact with the cell? What other molecules arerequired for or involved in their function? plz help me plz if u get it correct i will mark brainlist if i can ne ol Ealin. Tutorial30 of 44B Save & EDirectionsRead the instructions for this self-checked activity. Type in your response to each question, and check your answers. At theend of the activity, write a brief evaluation of your work.ActivityA student drew this model to show the flow of convection currents on Earth.90 desending dry, cold air66.52ascending warm,moist airascending warm,moist airequator266.590 desending dry, cold airPart A The cart now moves toward the right with an acceleration toward the right of 2.50 m/s2. What does spring scale Fz read? Show your calculations, and explain. Who was the Japanese ere allied with during World War ll? Drag the tiles to the correct boxes to complete the pairs Identify the audience for each type of nonfiction text. [Business report] [academic paper] [music review] [coffee roasting data] Guitarist Investor in a company cafe owner college professor Charlie used a regression calculator to generate the equation f(x) = 0.15x + 20.1 for the ordered pairs (2, 15), (4, 21), (6, 26), (8, 20), and (10, 14).Is a linear representation the best way to represent the data? If it is, explain why. If not, explain why and suggest a better alternative. 21. What is the most likely outcome of decreasing the frequency of incident light on a diffraction grating? A. lines become narrower B. distance between lines increases C. lines become thicker D. distance between lines decreases Characteristics of Epic Poetry Traffic jams, tailgaters, traffic restrictions, and slow-moving vehicles are examples of incidents and interactions that can cause _____________ by drivers on the roadway.Less commuting time to work or schoolLower stress levelsMore time to reflectAnger The amount Q of water emptied by a pipe varies directly as the square of the diameter d. A pipe 5 inches in diameter will empty 50 gal of water over a fixed time period.Assuming the same kind of flow, how many gallons of water are emptied in the same amount of time by a pipe that is 2 inches in diameter?gallons are emptied. Tres camiones transportan diferentes semillas:el primero lleva 1200 kg de arroz; el segundo 1100 kg de frijol y el tercero 550 kg de trigo. Si estas deben almacenarse en la menor cantidad de costales con la mayor capacidad posible de semillas, y sin que se combinen, determina cunto se debe pagar por los costales si el precio de cada uno es de $5 n the kite, AC = 10 and BD = 6. What is the area of kite ABCD? 15 square units 30 square units 45 square units 60 square units