I need help asap!! (Geometry)

I Need Help Asap!! (Geometry)

Answers

Answer 1

Answer:

Below

Step-by-step explanation:

Flower bed A

C = 2πr

C = 2π(5)

C = 2(5)π

C= 10π

A= πr²

A= π(5)²

A= π25

A= 25π

____________________________________________________

Flower bed B

C = 2πr

C = 2π(6)

C = 2(6)π

C = 12π

A = πr²

A = π(6)²

A = π36

A = 36π


Related Questions

Write the equation of the line in fully simplified slope-intercept form.

Answers

The equation of the line in fully simplified slope-intercept form is y = -x - 8.

How to find the equation of the line?

It is assumed that a line in the graph will pass through some points on the x and y-axes.

We must determine the line's fully simplified intercept.

we know the standard form of a line that is

y = mx + b

here, m is a slope and b is the constant

On the graph, there are the y-intercept (0,-8) and the x-intercept (-8,0).

The slope of the line passing through these points is:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ [/tex]

[tex]slope = \frac{ 8 - 0}{ 0 - 8} [/tex]

slope = 8/(-8)

slope = -1

then find the value of b

if x = 0 y = -8 then

y = mx +b

-8 = -1(0) + b

-8 = b

the value of b is -8

After inserting the values for m and c, the line's equation will be.

y = - x - 8

Hence y = -x - 8 is the equation of the line in fully simplified slope-intercept form.

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Two interior decorating teams are competing in a kitchen remodel competition. Their remodels are graded on the following categories, each worth 18 points; time to complete, design, and total cost. Time to complete is worth 75% of their final score, design is 15%, and total cost is 10%. Whoever has the largest final score wins $150,000. Suppose Team A received 15 points for time to complete, 9 points for design, and 14 points for total cost. Suppose Team B received 17 points for time to complete, 7 points for design, and 13 points for total cost. Using technology, determine which team won the competition. Team A won by 1.9 points. Team A won by 1.1 points. Team B won by 1.9 points. Team B won by 1.1 points.

Answers

Answer:

listen there is a lack of information the information you give isn't enough

The correct answer is Team B won by 1.1 points.

To determine which team won the competition, we need to calculate the final scores for both Team A and Team B based on the given weights for each category and the points they received in each category.

For Team A:

- Time to complete (75% of 15 points) = 0.75 * 15 = 11.25 points

- Design (15% of 9 points) = 0.15 * 9 = 1.35 points

- Total cost (10% of 14 points) = 0.10 * 14 = 1.4 points

Total score for Team A = 11.25 + 1.35 + 1.4 = 14 points

For Team B:

- Time to complete (75% of 17 points) = 0.75 * 17 = 12.75 points

- Design (15% of 7 points) = 0.15 * 7 = 1.05 points

- Total cost (10% of 13 points) = 0.10 * 13 = 1.3 points

Total score for Team B = 12.75 + 1.05 + 1.3 = 15.1 points

Now, we compare the total scores of both teams. Team A has a total score of 14 points, while Team B has a total score of 15.1 points. Therefore, Team B won by 1.1 points.

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Solve the inequality for .x.
-1/
6
x+4> −3x −8
Simplify your answer as much as possible

Answers

Answer:

x>-3

Step-by-step explanation:

collect like terms by changing the signs ..

x+4>-3x-8:to: x+3x>-8-4

Hence find the value of x

:4x>-12

4x/4 >-12/4

x>-4

PLEASE HELPP
Subject: Trigonometry

Answers

Answer:

51.3

Step-by-step explanation:

[tex]\tan y=10/8 \\ \\ y=\arctan(10/8) \\ \\ \approx 51.3^{\circ}[/tex]

Answer:

45

Step-by-step explanation:

Find the measures of the interior angles of the triangle

please help

Answers

Answer: x = 88 degrees

Step-by-step explanation:

The angles of a triangle add up to 180 degrees.

So

48 + x + (x - 44) = 180

48 + 2x - 44 = 180

2x + 4 = 180

2x = 176

x = 88

Angle B = 88 degrees

Angle C = 44 degrees

what bigger 3/5 or 0.85

Answers

Answer:

0.85 is bigger

Step-by-step explanation:

To compare fractions you need to bring them to the same format.

1) Convert 3/5 to decimal:

3/5 = 30/50 = 60/100 = 0.60

Compare:

0.60 < 0.85 as 60 < 85

2) Convert 0.85 to fraction:

0.85 = 85/100 = 17/20

Bring 3/5 to the same denominator:

3/5 = (3*4)/(5*4) = 12/20

Compare:

12/20 < 17/20 as 12 < 17 (comparing the numerators)

How long will it take you to ski a distance of 36 miles at the speed of 5 miles per 45 minutes

Answers

To ski a distance of 36 miles at the speed of 5 miles per 45 minutes, will take 324 min

The formula and procedure we will use to solve this exercise is:

t = x/v

Where:

x = distancet = timev = velocity

Information about the problem:

v = 5 miles per 45 minutesx = 36 milest = ?

Calculating the velocity we have:

v = x/t

v= 5 miles/45 min

v = 0.111 miles/ min

Applying the time formula from the uniformly rectilinear motion (URM), we have:

t = x/v

t = 36 miles/0.111 miles/ min

t = 324 min

What is velocity?

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

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Divide £800 in the ratio 6 : 1 : 3

Answers

Answer:

6: 480

1: 80

3: 240

I hope this is what you meant, and I hope I was able to help you!

miriam reduced a square photo by cutting 3 inches away from the length and the width so it will fit in her photo album. the area of the reduced photo is 64 square inches. in the equation (x – 3)2

Answers

Original sides of the square before reducing was 11 inches.

What is a quadratic equation ?

A quadratic equation has highest degree of two and it has 2 roots.

According to the given question Miriam reduced a square photo by cutting 3 inches away from the length and the width so it will fit in her photo album.

Assuming sides of the square to be x inches.

∴ From the given data

( x - 3 )( x - 3 ) = 64         ( area of a square is product any two sides )

x² - 6x + 9 = 64

x² - 6x - 55 = 0

x² - 11x + 5x - 55 = 0

x( x - 11 ) + 5( x-11 ) = 0

(x - 11 )( x + 5) = 0

∴ x = 11 or x = -5.                  ( length of something can not be negative )

So, the original length of the sides of the square is 11 inches.

Original area is

= (11×11)

= 121 sq inches.

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MARKING BRAINLEIST IF CORRECT

Answer choices:


1. Alternate Interior Angles Theorem; 2 Definition of Congruence

1. Alternate Exterior Angles Theorem; 2. Substitution Property

1. Definition of Congruence; 2. Alternate Interior Angles Theorem

1. Substitution Property; 2. Alternate Exterior Angles Theorem

Answers

Answer:

I think it's B (or A?)

Step-by-step explanation:

For alternate interior, they are alternate interior angles

Then for 2, they are equal and congruent, but they are SUBSTITITUING the angle numbers to the equation.

pls brainliest if I'm right :D

This scale drawing of a rectangular rug
has dimensions 8 inches by 5 inches.
The actual rug is measure with a scale
factor of 4:1.
8 in
5 in
x ft
y ft.
S Enter the value of x and y for the actual rug width.
X =
y =

Answers

x would be 20 inches and y would be 32 inches.

what is the perimeter of a polygon that has the coordinates of (-3,2) (2,2) (2,-4) (-1,-4) (-1,-2) (-3,-2) (-3,2)

Answers

The perimeter of a polygon is 24 units.

In this question, we have been given the coordinates of a polygon.

we need to find the perimeter of a polygon.

Let A= (-3,2), B = (2,2), C = (2,-4), D = (-1,-4), E = (-1,-2), F = (-3,-2)

First we find the length of each side of a polygon.

|AB| = √5² + 0²

|AB| = 5

|BC| = √0² + (-6)²

|BC| = 6

|CD| = √(-3)²+0²

|CD| = 3

|DE| = √0²+2²

|DE| =  2

|EF| = √(-2)²+0²

|EF| = 2

|FA| = √0²+4²

|FA| = 4

The perimeter of a polygon would be,

P = AB + BC + CD + DE + EF + FA

P = 5 + 6 + 3 + 2 + 2 + 4

P = 24 units

Therefore, the perimeter of a polygon is 24 units.

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Ari has a total of 22 coins consisting of pennies and nickels. The total value of the coins is $0.54 Which equation can be used to find the number of pennies Ari has?

Answers

n = the number of nickels
p = the number of pennies

Total number of coins she has = 22.

n + p = 22

First equation

Each penny is one cent and a nickel is worth 5 cents

And the total is $0.54

Second equation. 0.05n + 0.01p = 0.54

n + p = 22
0.05n + 0.01p = 0.54

Multiply the top equation by -0.05 which gives us

-0.05n - 0.05p = -1.1
0.05n + 0.01p = 0.54

The n terms cancel out which leaves the p value

-0.04p = -0.56

Divide by the -0.04p and you get p=14


Substitute the value of p back into the top equation.

Which is n + 14 = 22

Subtract 14 and you get n = 8

Ari has 8 nickels and 14 pennies

Given y =
2x+1/4x-3
•Solve for x.
•evaluate x when y = 1

Answers

Answer:

Solve for x:

x= 1/ 2 (2y-1)+ 3y/ 2 (2y-1)

Evaluate: x= 2

Step-by-step explanation:

please help, I suck at math and I cant play no games til I finish everything..sad.

Answers

Answer:

true;the expression s are the same for all values of the variables

In what situation would a geometric model be better than a binomial model

Answers

Answer:

a geometric model shows the lay out of places like earth it tells us where our best water sources are.

Find the area of the figure. Write the answer is radical form

Answers

The Area of the given figure in the radical form is [tex]96\sqrt[4]{x^{9} }[/tex] .

Area of a rectangle can be found by using the formula

Area = length*breadth

in the given question

length of the rectangle

= [tex](4x)^{\frac{3}{2} }[/tex]

On simplifying we get

[tex](4x)^{\frac{3}{2} }=(2^{2} x)^{\frac{3}{2} }\\ \\ =2^{2*\frac{3}{2} } *x^{\frac{3}{2} } }[/tex]      ( as (a.b)ⁿ=aⁿ.bⁿ  )

[tex]=2^{3} *x^{\frac{3}{2} } }\\ \\ =8*x^{\frac{3}{2} } }[/tex]

breadth of the rectangle = [tex]12x^{\frac{3}{4} }[/tex]

The required area = length * breadth

Substituting the values we get

Area = [tex]8*x^{\frac{3}{2} } }[/tex] * [tex]12x^{\frac{3}{4} }[/tex]

=96*[tex]x^{\frac{3}{2}+\frac{3}{4} }[/tex]

taking LCM of exponents as 4 and solving further we get ,

=[tex]96x^{\frac{9}{4} }[/tex]

Expressing in  radical form we get ,

Area = [tex]96\sqrt[4]{x^{9} }[/tex]

Therefore ,  the Area of the figure in the radical form is [tex]96\sqrt[4]{x^{9} }[/tex] .

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in a geometric series, the sum of the first three terms is 14.25 and the sum of the first four terms is 24.375. find the exact value of the first term and the common ratio. give your answer in the format ‘u1,r’, without spaces.

Answers

The first term of the Geometric Series = 3 and its common ratio = 3/2.

What is a geometric Series?

An unlimited number of terms with a fixed ratio between each term make up a geometric series.

For 'n' termed GP with a = first term and r = common ratio, [tex]S_{n}=\frac{a(r^{n}-1)}{r-1}[/tex]

Given:

Sum of first three terms of a G.P. = 14.25Sum of first four terms of the G.P. = 24.375

To find: First term of the GP and the common ratio.

Finding:

As, [tex]S_{n}=\frac{a(r^{n}-1)}{r-1}[/tex], for n =3,

[tex]S_{3}=\frac{a(r^{3}-1)}{r-1}=14.25[/tex] (eqn 1)

=> Similarly for n = 4,

[tex]S_{4}=\frac{a(r^{4}-1)}{r-1} = 24.375[/tex]

On dividing [tex]S_3 by S_4[/tex], we get:

[tex]\frac{14.25}{24.375}=\frac{r^{3}-1}{r^{4}-1}[/tex]

=> On solving the equations, we get:

[tex]14.25r^{4}-24.375r^{3}+10.125=0[/tex]

r = 3/2 (on factorizing the equation)

Now, substituting this in eqn 1

=> [tex]14.25=\frac{a((\frac{3}{2})^{2}-1)}{\frac{3}{2}-1}[/tex]

=> a = 3 on further solving the equation for a.

Hence, the first term of the Geometric Series = 3 and its common ratio = 3/2.

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Find the value of y+12 when y=7?

Answers

Answer:

19

Step-by-step explanation:

When y = 7

Replace 7 with y.

[tex]7 + 12 = 19[/tex]

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b) Harri hires a pedalo for 45 minutes.
He takes the pedalo out at 2:45 pm.
At what time must he return the pedalo?

Answers

Answer:

He returns the pedalo after 3.00 pm

Melody works at The Accokeek Ice Cream Hut. She earns $14 per hour. This week,
her boss had to cut her schedule, so she only worked 80% of the number of hours
she normally works. However, to compensate her, she was given a bonus of $30.
At the end of the week, Melody had earned $198.

Answers

The number of hours Melody worked this week was 15.

The hourly earnings of Melody at the Accokeek Ice Cream Hut are $14.Let the number of working hours in a week be "x".The number of hours Melody actually worked this week is 80 percent of "x".The number of hours Melody actually worked this week is 0.8x.The amount of compensation Melody received is $30.The total amount Melody earned at the end of the week was $198.The amount Melody should get at the end of the week is the sum of the compensation amount and the earnings for the number of hours she worked.198 = 30 + 14*0.8x168 = 11.2xx = 15Thus, Melody worked for 15 hours.

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Create a data set of 9 numbers that has a mean of 10 and a maximum of 15​

Answers

Answer:  {5, 6, 7, 8, 10, 12, 13, 14, 15}

Other answers are possible.

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

Explanation:

Let's say 10 is the median, and we'll have four values above it and four below. This gives 4+1+4 = 9 total items. One such example could be {6,7,8,9,10,11,12,13,14}. This is the set of whole numbers from 6 to 14 inclusive.

Due to the symmetry of that list, the mean = median = 10

The only problem is the max is 14, when we want it to be 15. We can fix this by adding 1 to each of the upper four values {11,12,13,14} to get {12,13,14,15}.

To balance things out, subtract 1 from each of the lower four values. So we go from {6,7,8,9} to {5,6,7,8}. This balancing is to keep the mean the same at 10.

Therefore, the set  {6,7,8,9,10,11,12,13,14} becomes {5,6,7,8,10,12,13,14,15} which is one possible answer.

There are infinitely many other possible answers. The data set does not have to be symmetric like this.

Machine A makes 12.75 ounces of popcorn in 3 minutes. Machine B makes 18 ounces of popcorn in 4 minutes.
If each machine makes popcorn for 10 minutes, will there be enough popcorn for eight 9-ounce bags? Explain.
A.


Yes; Machine A and Machine B make 77.5 ounces in 10 minutes. 77.5 > 72, so there will be enough popcorn.
B.


Yes; Machine A and Machine B make 87.5 ounces in 10 minutes. 87.5 > 72, so there will be enough popcorn.
C.


No; Machine A and Machine B make 67.5 ounces in 10 minutes. 67.5 < 72, so there will not be enough popcorn.
D.


No; Machine A and Machine B make 30.75 ounces in 10 minutes. 30.75 < 72, so there will not be enough popcorn.

Answers

Answer:

C

Step-by-step explanation:

machine a makes 4.25 ounces per minute and B makes 4.5 ounces per minute.

10. Solve the equation by completing the square. Round to the nearest hundredth if necessary. x²-3x - 3=0
-3.75, 6.75
2.72,0.28
0.87, 2.29
3.79,-0.79

Answers

The roots of the equation [tex]x^{2}[/tex]-3x-3=0 by completing the square method are 3.79 and -0.79.

Given that the equation is [tex]x^{2}[/tex]-3x-3=0.

We are required to find the roots of the equation by completing the square method.

Equation is basically the relationship between two or more variables that are expressed in equal to form. It may be linear equation, quadratic equation,cubic equation and many more depending on the power of the variables that are present in the equation.

The equation is  [tex]x^{2}[/tex]-3x-3=0.

[tex]x^{2}[/tex]-3x=3

[tex](x+3/2)^{2}[/tex]=-(c-[tex]b^{2}[/tex]/4)

So,

[tex](x-3/2)^{2}[/tex]=-[-3-[tex](-3)^{2}[/tex]/4]

[tex](x-3/2)^{2}[/tex]=-[-3-9/4]

[tex](x-3/2)^{2}[/tex]=21/4

x-3/2=±[tex]\sqrt{21}[/tex]/2

x=([tex]\sqrt{21}[/tex]+3)/2,(-[tex]\sqrt{21}[/tex]+3)/2

x=(4.58+3)/2, (-4.58+3)/2

x=7.58/2, -1.58/2

x=3.79,-0.79

Hence the roots of the equation [tex]x^{2}[/tex]-3x-3=0 by completing the square method are 3.79 and -0.79.

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Answer:

by completing the square method the answer is 3.79 and -0.79.

Step-by-step explanation:

above

HELP ASAP
Find E, the midpoint of RD if R (4,-5) and D (2,3)

Answers

Answer:

(3, - 1 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = R (4, - 5 ) and (x₂, y₂ ) = D (2, 3 )

midpoint = ( [tex]\frac{4+2}{2}[/tex] , [tex]\frac{-5+3}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex] , [tex]\frac{-2}{2}[/tex] ) = (3, - 1 )

A. 2z-1+3z=0
B. 5z-1=0
1) How can we get Equation B from Equation A?
Choose 1 answer
Add/subtract the same quantity to/from both sides.
Add/subtract a quantity to/from only one side.
Rewrite one side for both) by combining like terms.
Rewrite one side for both) using the distributive property.
2) Based on the previous answer, are the equations equivalent? In other words, do they have the
same solution?
Choose 1 answer:
Yes
No

Answers

Answer:

1.) like terms and 2.) since all you did was combine like terms you didn't change the value, it's the same as before just "fixed" so yes

Of 6.5 hectoliters of fuel, the private spilled 350 milliliters. how many liters did the private spill?

Answers

The private spilled 0.35 litres of fuel

How to calculate the amount of litres spilled ?

The first step is to convert 6.5 hectolitres to litres

= 6.5 × 100

= 650 litres

Next is to convert millilitres to litres

= 350/1000

= 0.35 litres

Hence the number of litres spilled is 0.35 litres

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For each of the following functions, evaluate: f(-4), f(-2), f(0), f(2), and f(4)
17.)f(x)=3x-7
19.) ƒ(x)=−2x²+5x+1

Answers

Answer for 17. f(-4)= -19 , f(-2) = -13 , f(0)= -7 , f(2) =-1 , f(4) =5
Answer for 19. f(-4)= -51 , f(-2) = -17 , f(0)= 1 , f(2) =3 , f(4) =-11

Replace the x with the given number for example. It's just like solving for x in equations.
f(x)=3x-7
f(-4)=3(-4)-7
= -12 - 7
= -19

They are 9 guitars sold in a week with a total of 3,611 dollars. Electrics are 479 each and acustics are 339 each. How many of each guitars were sold"?

Answers

5 Acoustic & 4 Electric.

See image for step by step.

1 Compare the coordinates of the corresponding vertices of ALMN and AL'M'N' in
the Example. Describe the effect of the 270° counterclockwise rotation on the
vertices. What other rotation of ALMN would have the same effect?

Answers

I think it would be AL’M’N, clockwise.
Other Questions
How do people celebrate Hispanic Heritage Month? Michael grabs a marble from a bag. There are 5 green marbles and 1 red marble. If he grabs the red marble he loses everything he bet on. The marbles are not put back into the bag. The max amount of times Michael can bet on the same game is 4. If he bets 300 and wins 578 (having 278 as winnings), he has the choice to bet again with everything he earned for 682. Then he has the choice to do so again for 945, then 1312 at max. At what point in the game should Michael stop playing to gain the most given the percent of risk of losing the game? What point in the game is the least beneficial for Michael's gains? First bet (300 -> 578) Second bet (578 -> 682) Third bet (682 -> 945) Fourth bet (945 -> 1312)If Michael wins every round he would go from 300 to 1312. If he loses, he doesn't gain any of the rewards and is 300 in debt. Discussion TopicDiscuss how the color scheme of a web page can relate to its content. Suggestways in which web designers can use color to make a statement about thesubject of a web page, a brand, or the website itself. On November 1, 20Y9, Lexi Martin established an interior decorating business, Heritage Designs. During the month, Lexi completed the following transactions related to the business:Nov. 1 Lexi transferred cash from a personal bank account to an account to be used for the business in exchange for common stock, $27,200.1 Paid rent for period of November 1 to end of month, $4,000.6 Purchased office equipment on account, $12,820.8 Purchased a truck for $30,800 paying $6,900 cash and giving a note payable for the remainder.10 Purchased supplies for cash, $1,650.12 Received cash for job completed, $8,000.15 Paid annual premiums on property and casualty insurance, $2,300.23 Recorded jobs completed on account and sent invoices to customers, $12,000.24 Received an invoice for truck expenses, to be paid in November, $1,190.Enter the following transactions on Page 2 of the two-column journal:Nov. 29 Paid utilities expense, $3,560.29 Paid miscellaneous expenses, $1,800.30 Received cash from customers on account, $7,500.30 Paid wages of employees, $4,750.30 Paid creditor a portion of the amount owed for equipment purchased on November 6, $6,230.30 Paid dividends, $2,000.General Journal?General Ledger?Unadjusted Trial Balance? how have airplanes changed the way the world does business? choose four answers.by making long trips less expensiveby shortening travel timeby opening up new trade markets worldwideby connecting business partners the fastestby increasing options for travel destinations The formula below relates distance, rate, and time. Solve this formula for t. A. 2z-1+3z=0B. 5z-1=01) How can we get Equation B from Equation A?Choose 1 answerAdd/subtract the same quantity to/from both sides.Add/subtract a quantity to/from only one side.Rewrite one side for both) by combining like terms.Rewrite one side for both) using the distributive property.2) Based on the previous answer, are the equations equivalent? In other words, do they have thesame solution?Choose 1 answer:YesNo tuttle enterprises is considering a project that has the following cash flow and weighted average cost of capital (wacc) data. what is the project's net present value (npv)? note that if a project's projected npv is negative, it should be rejected. wacc: 11.00% year 0 1 2 3 4 cash flows $1,000 $350 $350 $350 $350 Solve the inequality for .x.-1/6x+4> 3x 8Simplify your answer as much as possible Find the area of the figure. Write the answer is radical form is part of the keratin found in your hair and skin. it also helps with the formation of collagen (the most abundant protein in the human body), maintains the body's acid-base balance, and assists in cellular respiration (the process in which cells produce the energy they need to survive). microeconomic theory and applications, 13th edition, edgar k. browning and mark a. zupan, john wiley in a geometric series, the sum of the first three terms is 14.25 and the sum of the first four terms is 24.375. find the exact value of the first term and the common ratio. give your answer in the format u1,r, without spaces. velocity changes from 2m/s to 12m/s time taken is 5 seconds (with the guess method pleasee) Find the force exerted by a pressure of 40N/m acting over an area of 0.0025 cm Question 1 (5 points)SavedWhich description is best for this set of ordered pairs: (1,4) (2,5) (3,6) ?A) only a relationB) only a functionC) relation and functionD) a relation but not a function mary kay owns a nursery. the trucks, handcarts, and forklift she purchased for the business are called investments. A scientist is studying three different layers of sedimentary rock to learn how a particular mammal species has changed over time. In the rock layer that is closest to the Earth's surface, fossilized individuals of this species have hooves on both their front feet and their back feet. In the layer below, fossilized individuals have three padded toes on both their front feet and their back feet. In the bottom layer, fossilized individuals have four padded toes on their front feet and three padded toes on their back feet.Based on this information, individuals of this species today most likely have A. hooves on both their front feet and their back feet. B. four padded toes on their front feet and three padded toes on their back feet. C. four padded toes on both their front feet and their back feet. D. three padded toes on both their front feet and their back feet. HELP PLSS GIVING BRAINLYIST Read the following passage from Anne of Green Gables by Lucy Maud Montgomery. Answer the question that follows the text."Oh, you can talk as much as you like. I don't mind.""Oh, I'm so glad. I know you and I are going to get along together fine. It's such a relief to talk when one wants to and not be told that children should be seen and not heard. I've had that said to me a million times if I have once. And people laugh at me because I use big words. But if you have big ideas you have to use big words to express them, haven't you?""Well now, that seems reasonable," said Matthew."Mrs. Spencer said that my tongue must be hung in the middle. But it isn'tit's firmly fastened at one end. Mrs. Spencer said your place was named Green Gables. I asked her all about it. And she said there were trees all around it. I was gladder than ever. I just love trees. And there weren't any at all about the asylum, only a few poor weeny-teeny things out in front with little whitewashed cagey things about them. They just looked like orphans themselves, those trees did. It used to make me want to cry to look at them. I used to say to them, 'Oh, you POOR little things! If you were out in a great big woods with other trees all around you and little mosses and Junebells growing over your roots and a brook not far away and birds singing in you branches, you could grow, couldn't you? But you can't where you are. I know just exactly how you feel, little trees.' I felt sorry to leave them behind this morning. You do get so attached to things like that, don't you? Is there a brook anywhere near Green Gables? I forgot to ask Mrs. Spencer that.""Well now, yes, there's one right below the house.""Fancy. It's always been one of my dreams to live near a brook. I never expected I would, though. Dreams don't often come true, do they? Wouldn't it be nice if they did? But just now I feel pretty nearly perfectly happy. I can't feel exactly perfectly happy becausewell, what color would you call this?"She twitched one of her long glossy braids over her thin shoulder and held it up before Matthew's eyes. Matthew was not used to deciding on the tints of ladies' tresses, but in this case there couldn't be much doubt."It's red, ain't it?" he said.The girl let the braid drop back with a sigh that seemed to come from her very toes and to exhale forth all the sorrows of the ages."Yes, it's red," she said resignedly. "Now you see why I can't be perfectly happy. Nobody could who has red hair. I don't mind the other things so muchthe freckles and the green eyes and my skinniness. I can imagine them away. I can imagine that I have a beautiful rose-leaf complexion and lovely starry violet eyes. But I CANNOT imagine that red hair away. I do my best. I think to myself, 'Now my hair is a glorious black, black as the raven's wing.' But all the time I KNOW it is just plain red and it breaks my heart. It will be my lifelong sorrow. I read of a girl once in a novel who had a lifelong sorrow but it wasn't red hair. Her hair was pure gold rippling back from her alabaster brow. What is an alabaster brow? I never could find out. Can you tell me?""Well now, I'm afraid I can't," said Matthew, who was getting a little dizzy. He felt as he had once felt in his rash youth when another boy had enticed him on the merry-go-round at a picnic."Well, whatever it was it must have been something nice because she was divinely beautiful. Have you ever imagined what it must feel like to be divinely beautiful?""Well now, no, I haven't," confessed Matthew ingenuously."I have, often. Which would you rather be if you had the choice-divinely beautiful or dazzlingly clever or angelically good?""Well now, I-I don't know exactly.""Neither do I. I can never decide. But it doesn't make much real difference for it isn't likely I'll ever be either."In a minimum of one paragraph, explain what you learn about these characters from this interaction. Use details from the passage to support your response. sam is investing in a partnership with jerry. sam contributes equipment that originally cost $63,000, has a book value of $30,000, and a fair market value of $39,000. the entry that the partnership makes to record sam's initial contribution includes a