What is the x axis label what is the y axis label the order pair ????? Is found in the scatter plot

What Is The X Axis Label What Is The Y Axis Label The Order Pair ????? Is Found In The Scatter Plot

Answers

Answer 1

Answer:

AA BB CC DD EE FF GG HH II JJ KK LL MM NN OO PP QQ RR TT UU VV WW XX YY ZZ

Step-by-step explanation:

Answer 2

Answer:

height goes on the  x–axis and, arm span goes on the y-axis, and the order pair is (30,27)

Step-by-step explanation:


Related Questions

A restaurant offers 5 appetizers and 10 main courses. In how many ways can a person order a​ two-course meal? Use the Fundamental Counting Principle with two groups of items.

Answers

Answer:

5x10=50

Step-by-step explanation:

baba booey

The sum is two numbers is 65. The difference of the two numbers is 17. Write systems of equations and find two numbers

Answers

Answer:

41 and 24

Step-by-step explanation:

x+y=65 -------(A)

x-y=17 -------- (B)

(A)+(B)

(x+y)+(x-y)=65+17

2x=82

x=41

(B)===>

41-y=17

y=41-17

y=24

The adjusted multiple coefficient of determination is adjusted for

Answers

The number of independent variables

What is the equation of the line?

Answers

Answer:

y= -4/3x

Step-by-step explanation:

rise over run

up 4, left 3

or

down 4, right 3

The lengths of a certain species of beetles are normally distributed with a mean of 1.9 centimeters and a standard deviation of 0.2 centimeters.

What is the z-score of a beetle of this species with a length of 2.38 centimeters?

Answers

Answer: the z score is 2.4

Step-by-step explanation:

Since the lengths of the certain species of beetles are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = length of the beetle species.

µ = mean length

σ = standard deviation

From the information given,

µ = 1.9 centimeters

σ = 0.2 centimeters

For a species with a length of 2.38 centimeters, the z score is

z = (2.38 - 1.9)/0.2

z = 0.48/0.2

z = 2.4

Vera is an ecologist who studies the change in the bear population of Siberia over time. The relationship between the elapsed time, t, in years, since Vera began studying the population, and the total number of bears, N(t), is modeled by the function:

Answers

Answer:

Every year, the bear population    shrinks    by a factor of    2/3   .

Explanation:

The concrete question and the function or data were omitted.

I found the complete question on the internet. Please, find attached the picture with the complete question

You must complete the  sentence about the yearly rate of change of the bear population, telling whether it grows or shrinks and by what factor.

Thus, the goal is to interpret the rate of change in an exponential model.

The exponential model is:

       [tex]N(t)=2187\cdot \bigg(\dfrac{2}{3}\bigg)^t[/tex]

Let's analyze that function.

When t = 0, (2/3)⁰ = 1 and N(0) = 2,187 × 1 = 2,187

Thus, the population of bears starts with 2,187 individuals.

For t = 1, the population will be N(1) = 2,187 × (2/3).

For t = 2, the population will be N(2) = 2,187 × (2/3)²

And so on, every year the population of bears is multiplied by a factor of 2/3.

Since, 2/3 is less than 1, every year the population will be decreasing (decaying), by a factor of 2/3.

Thus, the answer, i.e. the complete sentence, is:

Every year, the bear population    shrinks    by a factor of    2/3   .

Answer:

shrinks/ 2/3

Step-by-step explanation:

At the beginning of an environmental study, a forest covered an area of 1500 km2 . Since then, this area has decreased by 9.8% each year.Let t be the number of years since the start of the study. Let y be the area that the forest covers in km2.
Write an exponential function showing the relationship between y and t.

Answers

Answer:

[tex]A(t)=(0.902)^t \cdot 1500[/tex] [tex][km^2][/tex]

Step-by-step explanation:

In this problem, the initial area of the  forest at time t = 0 is

[tex]A_0 = 1500 km^2[/tex]

After every year, the area of the forest decreases by 9.8%: this means that the area of the forest every year is (100%-9.8%=90.2%) of the area of the previous year.

So for instance, after 1 year, the area is

[tex]A_1 = A_0 \cdot \frac{90.2}{100}=0.902 A_0[/tex]

After 2 years,

[tex]A_2=0.902 A_1 = 0.902(0.902A_0)=(0.902)^2 A_0[/tex]

And so on. So, after t years, the area of the forest will be

[tex]A(t)=(0.902)^t A_0[/tex]

And by substituting the value of A0, we can find an explicit expression:

[tex]A(t)=(0.902)^t \cdot 1500[/tex] [tex][km^2][/tex]

Si Ana diese 10 libros a Alicia, ambas tendrían la misma cantidad de libros. Si Ana tuviera 10 libros más, tendría el doble que Alicia. Calcula cuantos libros tiene cada una.

Answers

Answer:

Ana tiene 50 libros y Alicia 30.

I just need help with this table

Answers

Answer:

from the looks of it, all you have to do is, for f(x), is plug it in as an exponent. in order (top to bottom), it should be: 64, 2048, 4096, 8192.

g(x) is being squared and then multiplied, so it should be (from top to bottom): 720, 2420, 2880, 3380

Step-by-step explanation:

a circle with area 36 pi has a sector with central angle of f 11/6 pi radians

Answers

Answer:

33 π

Step-by-step explanation:

Given,

Area of circle = 36 π

Central angle of sector,θ = 11/6 rad

Area of the sector = ?

we know,

A = π r²

36 π = π r²

r = 6

Area of sector

[tex]A = \frac{1}{2} r^2 \theta [/tex]

[tex]A = \frac{1}{2} \times 6^2 \times (\frac{11}{6}\pi)[/tex]

[tex]A = 33\pi \ sqr. units[/tex]

HELP PLEASE :(

Three-Dimensional Geometry
Geometric Design
1. Kathrine, Giana, and Jackson are designing jewelry boxes to sell at the art fair. The
dimensions of their boxes are:
Kathrine: 5in x 5in x 5in
Giana: 10in X 12in X 2in
Jackson: 10in X 5in x 4in
If a customer at the art fair is wants to buy the jewelry box that will hold the most amount
of jewelry, whose jewelry box should they purchase?

Answers

Answer: The customer should buy Giana’s jewelry box.

Step-by-step explanation:

The jewelry boxes are rectangular prisms, in order to find the box that would hold the most amount of jewelry we need to find the volumes of each box.

V= l.w.h

Katherine’s box: 5x5x5= 125

Giana’s box: 10x12x2= 240

Jackson’s box: 10x5x4= 200

Joey is trying to prove that CATS is an isosceles trapezoid. He starts by providing that line segment AT is parallel to line segment CS and that line segment AS is about the same as line segment CT. Based on that information, is this enough to prove that CATS is an isosceles trapezoid

Answers

Answer:

Yes the information i.e. AT ║ CS and diagonals AS = CT are sufficient to prove that CATS is an isosceles trapezoid.

CATS is an isosceles trapezoid. (Proved)

Step-by-step explanation:

Yes the information i.e. AT ║ CS and diagonals AS = CT are sufficient to prove that CATS is an isosceles trapezoid.

Proof :

Taking Δ CAT and Δ STA,

(i) CT = AS (Given)

(ii) AT is the common side and

(iii) ∠ ACT = ∠ TSA

{Since AT ║ CS and the angles are obtained from the same base AT}

Therefore, by the criteria Side-Side-Angle i.e. SSA, we can say Δ CAT ≅ Δ STA.

Hence, AC = ST {Corresponding sides}

Therefore, CATS is an isosceles trapezoid. (Proved)

Product of 3x - 1 and 4x²-3x+ 8

Answers

Answer:

8x squared- 6x+16 is the answer

Which is bigger? 3kg or 40000mg

Answers

Answer:

3kg

Step-by-step explanation

kg is heavier

The area of the shaded circle below is 78.5 square inches. The area of the large circle is 314 square inches.A shaded circle is inside of a larger unshaded circle.What is the probability that a point chosen at random will be in the shaded region

Answers

Answer:

The probability that a point chosen at random will be in the shaded region is 0.25

Step-by-step explanation:

We have been given a small shaded circle inside a larger un-shaded circle. This is shown in the image attached below.

The area of smaller circle is 78.5 squares inches and the area of larger circle is 314 square inches. We have to find the probability that a point chosen at random will be in the shaded region.

Probability is defined as the ratio of Favorable outcome to the Total outcomes. In this case the favorable outcome is that the point should be inside the shaded region i.e. in an Area of 78.5 square inches. And the total outcome is that the point can be anywhere inside the larger circle i.e. within an Area of 314 square inches. Thus the probability that a point chosen at random will be inside the shaded region will be:

[tex]Probability = \frac{\text{Favorable Outcome}}{\text{Total Outcome}} \\\\ = \frac{78.5}{314}\\\\=0.25[/tex]

Thus, the the probability that a point chosen at random will be in the shaded region is 0.25. This means there is a 25% chance that a randomly chosen point will be inside the shaded region.

A farmer has determined that a crop of strwberries yields a yearly profit of $1.50 per square yard. If strawberries are planted on a triangul;ar piece of land whose sides are 50 yards, 75 yards, and 100 yards, how much profit to the nearest hundred dollars, would the farmer expect to make from this piece of land during the next harvest.

Answers

Answer:

  $2700

Step-by-step explanation:

Using Heron's formula, we can find the area of the triangle to be ...

  A = √(s(s -a)(s -b)(s -c)) . . . . where s=(a+b+c)/2 and a, b, c are the sides

Here, we have ...

  s = (50 +75 +100)/2 = 225/2 = 112.5

  A = √(112.5 · 62.5 · 37.5 · 12.5) ≈ 1815.461 . . . square yards

Then the profit is expected to be ...

  (1815.451 yd²)($1.50/yd²) = $2723.19 ≈ $2700

The farmer expects a profit of about $2700 from that crop.

The product of a number and 5. The answer is 15. What’s the equation and solution

Answers

Answer:

3 * 5 = 15

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

[tex]5a = 15\\\frac{5a}{5} = \frac{15}{5} \\a = 3[/tex]

5 * 3 = 15

Emma took a taxi from the airport to her house.
She paid a flat fee of $5 plus $3.70 per mile.
The fare came to $42.

For Emma's taxi ride, which equation gives the correct distance (d) in miles

Answers

I think it’s 6 miles I’m not sure actually
5 + 3.70d = 42

Subtract 5 from both sides.
5 + 3.70 = 42
-5 -5
____________
3.70d = 37

Divide both sides by 3.70
3.70d = 37
_____ ___
3.70 3.70

d= 10

Check: substitute 10 for d

5 + 3.70(10) = 42 ??
5 + 37 = 42 ??

42 = 42 :)

(03.01 LC)
The leg of a right triangle is 2 units and the hypotenuse is 5 units. What is the length, in units,
of the other leg of the triangle? (1 point)
C3
C /21

Answers

Answer:

The length of the other leg is 4.58 units.

Step-by-step explanation:

A² + B² = C²       Use Pythagorean Theorem

2² + B² = 5²       Simplify

4 + B² = 25

-4           -4         Subtract 4 from both sides

B² = 21                Take the square root of both sides

B = 4.58 units

If this answer is correct, please make me Brainliest!

Answer:

4.58 units is your answer

Step-by-step explanation:

When Sanchez left his house this morning, his cell phone was 30% charged and it then started to lose 3% charge for each hour thereafter. Write an equation for the function B(t), representing the charge remaining in Sanchez's battery, as a percentage, t hours after he left his house.

Answers

Answer:

The equation that represents the battery charge in Sanchez's phone as a percentage t hours after he left his house is B(t) = 30 - 3*t.

Step-by-step explanation:

The initial state of the battery on Sanchez's phone is 30% so in time t equals zero the battery should be at that value and as time progresses the battery should lose battery charge at a rate of 3% for each hour. We can write this in an equation form by taking the initial state and subtract it by the rate multiplied by the value of time. We have:

B(t) = 30 - 3*t

The equation that represents the battery charge in Sanchez's phone as a percentage t hours after he left his house is B(t) = 30 - 3*t.

To help with packing, Ana needs to find the volume of her suitcase to determine how much she could pack. Her suitcase is a rectangular prism, with dimensions of 19 inches tall, 13 inches wide, and 7
1
2 inches deep. What is the total volume of her suitcase? Explain how you found the volume.

Answers

Answer:

1,852.5 in³

Step-by-step explanation:

Volume of a rectangular prism:

Length × width × height (depth)

19 × 13 × 7½

1852.5 inches³

(1)=−10
h(2)=−2
h(n)=h(n−2)⋅h(n−1)

h(3)=

Answers

Answer:

6

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

h(3)=h(1)*h(2)=

(-10)*(-2)=

20

Paul withdrew $17.25 from his savings account every week for 3 weeks. Which expression is the best choice to help him determine the total amount of money he withdrew
(3)(−17.25) = −51.75; he withdrew $51.75

(−3)(17.25) = −51.75; he withdrew $51.75

(3)(17.25) = 51.75; he withdrew $51.75

(−3)(−17.25) = 51.75; he withdrew $51.75

Answers

(3)(-17.25)= -51.75

I think thats the right one

Answer:

A

Step-by-step explanation:

I hape that works

The depth of a river at a certain point is modeled by the function W defined above, where W(t) is measured in feet and time T is measured in hours

Answers

Answer:

(a) The meaning of W'(8) is the rate of change of the depth of the water at time t = 8 hours is -0.8 ft/hr

(b) The tangent line equation is Y = 0.79×t +6.143

Therefore, W(3.5) ≤ 9 as 0.79×3.5 +6.143 = 8.908 < 9

(c) [tex]\lim_{t \to 2 }\frac{W(t) - t^3 + \frac{1}{4} }{t -2}[/tex] is [tex]\frac{\sqrt{3} \pi -96 }{8}[/tex]

Step-by-step explanation:

Here we have

[tex]W(t) = \begin{cases}\frac{17}{2}-\frac{3}{2}\cos \left (\frac{\pi t}{6} \right ) & \text{ if } 0\leq t\leq 6 \\ 10-\frac{1}{5}\left (t-6 \right )^{2} & \text{ if } 6< t\leq 10 \end{cases}[/tex]

(a) To find W'(8) we have

W(8) = [tex]10-\frac{1}{5}\left (8-6 \right )^{2}[/tex]

Therefore, W'(8) given by the following relation;

[tex]W'(t) = \frac{\mathrm{d} \left (10-\frac{1}{5}\left (t-6 \right )^{2} \right )}{\mathrm{d} t} = - \frac{2t-12}{5}[/tex]

∴[tex]W'(8) =- \frac{2\times 8-12}{5} = -0.8 \ ft/hr[/tex]

The meaning of W'(8) is the rate of change of the depth of the water at time t = 8 hours = -0.8 ft/hr

b) Here we have the line tangent is given by the slope of the graph at the point t = 3, therefore we have

W'(t), t = 3 = [tex]\frac{\pi \sin(\frac{\pi t}{6} )}{4}[/tex]

The tangent line equation is Y = 0.79×t +6.143

Therefore, W(3.5) ≤ 9 as 0.79×3.5 +6.143 = 8.908 < 9

c) [tex]\lim_{t \to 2 }\frac{W(t) - t^3 + \frac{1}{4} }{t -2}[/tex] where W(t) = [tex]\frac{17}{2}-\frac{3}{2}\cos \left (\frac{\pi t}{6} \right )[/tex]

[tex]\lim_{t \to 2 }\frac{W(t) - t^3 + \frac{1}{4} }{t -2}[/tex]  = [tex]\frac{\sqrt{3} \pi -96 }{8}[/tex].

Help me please please help

Answers

Answer:

80

Step-by-step explanation:

The sides of a triangle always add up to 180. 80+20+?=180

Answer:

C, 80 degrees

Step-by-step explanation:

Together, all of the interior angles in a triangle add up to 180 degrees. Therefore, the missing angle is the two other angles subtracted from 180 degrees. 180-20-80=80 degrees, or answer choice C. Hope this helps!

1. Identifique a abscissa e a ordenada dos pontos abaixo.

A(3,-5) abscissa__________ ordenada______________

B(-1,0) abscissa__________ ordenada______________

C(-3,5;-2) abscissa__________ ordenada______________

D(0,-1) abscissa__________ ordenada______________

Answers

Answer:

A(3,-5) abscissa:3 ordenada: -5

B(-1,0) abscissa: -1 ordenada: 0  

C(-3,5;-2) abscissa: -3.5 ordenada -2

D(0,-1) abscisa: 0 ordenada:- 1

Step-by-step explanation:

What we must take into account is that the abscissa is the value of x and the ordinate is the value of y. There is always a number of the (x,y), that is, the abscissa is the first value and the ordinate is the second value, therefore:

Answer:

We need to identify  abscissa and ordenada in each of the pairs given.

For a pair (x, y), x is the abscissa and y is the ordenada.

A (3,-5) abscissa_____3____ ordenada______-5_______

B (-1,0) abscissa____-1____ ordenada_______0_____

C (-3,5;-2) abscissa_____-3.5____ ordenada_____-2______

D (0,-1) abscissa_____0___ ordenada___-1_______

A rectangular box is going to be made with a volume of 274 cm3. The base of the box will be a square and the top will be open. The cost of the material for the base is 0.3 cents per square centimeter, and the cost of the material for the sides is 0.1 cents per square centimeter. Determine the dimensions of the box that will minimize the cost of manufacturing it. What is the minimum cost?

Answers

Answer:

The dimensions of the box are 5.67 cm by 5.67 cm by 8.51 cm.

The total minimum cost = 28.97 cents.

Step-by-step explanation:

Let the base dimensions are a cm by a cm and the height is h cm.

So, a²h = 274 ............. (1)

And, total cost, C = 0.3a² + 0.1 × 4ah = 0.3a² + 0.4ah

C = 0.3a² + 0.4 × (274/a) ................. (2)

Now, for minimum total cost, the condition is [tex]\frac{dC}{da} = 0 = 0.6a - \frac{0.4 \times 274}{a^{2} }[/tex]

⇒ [tex]a^{3} = \frac{0.4 \times 274}{0.6} = 182.67[/tex]

a = 5.67 cm

So, [tex]h = \frac{274}{a^{2}} = 8.51[/tex] cm.

Therefore, the dimensions of the box are 5.67 cm by 5.67 cm by 8.51 cm.

And the total minimum cost = [tex]C_{min} = 0.3 (5.67)^{2} + 0.4 \times \frac{274}{5.67} = 28.97[/tex] cents. (Answer)

Answer:

0.29

Step-by-step explanation:

I NEED HELP WITH ANGLES!!

Answers

They are both 50 degrees

if the diameter of a nickel is 0.835 in and the width of each nickel is 0.077 in what is the approximate surface area of the 2$ roll of nickels round your answer to the nearest hundredth

Answers

Answer:

Step-by-step explanation:

The roll of nickels forms a cylinder

cylinder area includes the sides and the round areas

round areas  = pi r^2   there is two   so    2 pi r^2

                                                                    = 2 pi (.835/2)^2

and the side area  pi x d x h

                               pi x .835 ( .077 x 40)     (there are 40 nickels in $ 2

Add the areas to get the total ......

To find the total surface area of a $2 roll of nickels, we calculate the surface area of one nickel and then multiply by 40 (the number of nickels in a $2 roll), resulting in an approximate surface area of 47.84 in² when rounded to the nearest hundredth.

To calculate the approximate surface area of a $2 roll of nickels, we must first determine how many nickels are in a $2 roll. Knowing that each nickel is worth 5 cents, a $2 roll would contain 40 nickels ($2.00 / $0.05 = 40). The surface area of a nickel includes the area of the circles on both sides and the area of the edge. The formula for the area of a circle is πr² (where r is the radius) and the formula for the area of the side (cylinder height) is 2πrh (where h is the width).

The diameter of a nickel is 0.835 inches, so the radius is half of that or 0.4175 inches. Using these measurements:

Area of one side = π(0.4175²) = 0.5477 in² (approx).Area of both sides = 2 * 0.5477 in² = 1.0954 in².Surface area of the edge = 2π(0.4175)(0.077) = 0.1006 in² (approx).Total surface area of one nickel = 1.0954 in² + 0.1006 in² = 1.196 in².

Therefore, the total approximate surface area for a $2 roll of 40 nickels = 40 * 1.196 in² = 47.84 in².

Rounded to the nearest hundredth, the surface area is 47.84 in².

in class 30 students,13of them are boys what parcentage of the class are girl give your answer to 1 decimal place

Answers

Answer:

56.7%

Step-by-step explanation:

First determine the number of girls

30-13 = 17

The fraction of girls is 17/30

Changing this to a decimal is

.566666666

Changing to a percent

56.666666%

To one decimal place

56.7%

Other Questions
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Even before meeting Mark, a computer programmer, Selena decides that she will not like him. Selenas beliefs are ________, and not liking Mark is ________. The only way to overcome a struggle is to be ___________________ and keep going when everyone else gives up.a) adjustb) conquerc) despited) distinguishede) inspiredf) miseryg) relentless estrella fugaz / estarse moviendo / ese planetaQuestion 2 with 1 blankbilogo / hablar / jefe / del laboratorioQuestion 3 with 1 blankhace dos das / qumico / salir / comer / bilogaQuestion 4 with 1 blanknosotros / ensearle / teora / grupoQuestion 5 with 1 blankyo / compartir / informacin / mis compaerosQuestion 6 with 1 blankayer / Mara / darle / contrasea / ManuelQuestion 7 with 1 blankanoche / ovni / volar / bosqueQuestion 8 with 1 blankt / grabar / CD / fotos de la fiesta E-85 __________A) was an international summit of 85 nations that met to restrict greenhouse gas emissions B) was an international summit of 85 nations that met to restrict CFC use C) is an ethanol-gasoline mixtureD) was an international summit of 85 nations that met to determine vehicle fuel efficiency standards E) is an isotope of uranium used to generate electricity necesito ayuda, Cmo es un smil diferente de otros tipos de lenguaje figurativo? 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The data table below shows their height at different ages:Age 8Age 12Age 16Age 20Age 24Paul4 ft 8 in5 ft 0 in5 ft 11 in6 ft 1 in6 ft 1 inBruce4 ft 6 in4 ft 11 in5 ft 10 in6 ft 1 in6 ft 1 inTom4 ft 9 in5 ft 0 in6 ft 0 in6 ft 2 in6 ft 2 inSteve4 ft 7 in4 ft 11 in5 ft 11 in6 ft 1 in6 ft 1 inWhat can be said about the growth trend for boys in Pauls family?a.All four boys grew at a steady, consistent rate between the ages of 8 and 24.b.All four boys had a growth spurt around the age of 20.c.Between the ages of 12 and 16, all four boys had the biggest jump in height.d.Between the ages of 8 and 12, all four boys had the biggest jump in height. The base area of a triangular pyramid is 22 square yards and the height of the pyramid is 15 yards. What is the volume of the triangular pyramid?V = 13Bh 2. When Florida first became a state, what was their economy based on? SELECT ALL THAT APPLY(10 Points) corncoalcropscattlefishing Average speed 5 km/h traveled at average speed of 60 km/h. What is the total distance from home to school is 35 kilometers and it took entire trip 1.5 hours Rogala Foods Inc. was formed in 2015 with the merger of Grouch Mayer and Tashamo Corporation. The company reported the following rounded amounts for the year ended January 3, 2016 (all amounts in millions):DebitsCreditsAccounts Receivable$1,130Allowance for Doubtful Accounts$33Sales (assume all on credit)18,400Required:Assume Rogala uses 1/4 of 1 percent of sales to estimate its Bad Debt Expense for the year. Prepare the adjusting journal entry required for the year, assuming no Bad Debt Expense has been recorded yet.Assume instead Rogala uses the aging of accounts receivable method and estimates that $81 of its Accounts Receivable will be uncollectible. Prepare the adjusting journal entry required at January 3, 2016, for recording Bad Debt Expense.Prepare the journal entry for unadjusted balance in Rogalas Allowance for Doubtful Accounts at January 3, 2016, was a debit balance of $21.If one of Rogalas customers declared bankruptcy, what journal entry would be used to write off its $10 balance? sarah can fit 115 books in 2 bookcases at that rate how many bookcases does she need to hold 360 books? In a group of 65 students when you have brown eyes and 30 have blue eyes. Find the Probability that a student pick from this group at random either has blue or brown eyes PLEASE ANSWERRRRRRRRRRRRRRRRRRAfter World War II, new agricultural technologies were a factor in what population change in Georgia?A. People migrated from the Atlantic Coast to western Georgia.B. People migrated from cities to rural areas.C. People migrated from rural areas to cities.D. People migrated from western Georgia to the Atlantic Coast. Should you use a buffer or can you be direct when refusing Mr. Wright's request? a.Business is no-nonsense and being gentle when refusing a gift is not necessary. Being direct doesn't hurt. b.A buffer helps by softening the blow, for example, when a donor's gift is rejected. When in doubt, use a buffer. c.Bad-news messages always require a buffer. It's the best option when a businessperson wants to be polite.