g={(-9,6),(-6,4),(2,-6),(6,-5)}
h(x)=3x-4
find the following
g^-1(-6)=
h^-1(x)=
(h^-1·h)(3)=

Answers

Answer 1
a) The ordered pair with -6 as the dependent value is (2, -6).
  g^-1(-6) = 2


b) Swap x and y and solve for y.
  x = 3y -4
  x +4 = 3y
  (x +4)/3 = y
Then the inverse function can be written as
  h^-1(x) = (x +4)/3


c) You have shown the product of h^-1(x) and h(x). We have to assume that is what you intend.
  h^-1(3) = (3 +4)/3 = 7/3
  h(3) = 3×3 -4 = 5
  (h^-1·h)(3) = h^-1(3)·h(3) = (7/3)·5
  (h^-1·h)(3) = 35/3

If you intend (h^-1◦h)(3), that value is 3.

Related Questions

10 point! Please Help! ASAP!!

How many more cubic inches of juice will cup B hold than cup A when both are completely full? Round your answer to the nearest tenth.

A 8.8 cubic inches
B 10.1 cubic inches
C 14.7 cubic inches
D 22.3 cubic inches

Answers

The answer for the given equation is C
Find the volume of each cup.

Volume of cup A = [tex] \frac{1}{3} \pi r^{2} h[/tex]

V = [tex] \frac{1}{3} (3.14)(1)^2(4)[/tex]
V = [tex]4.187[/tex]

Volume of cup B = [tex] \pi r^2h[/tex]

V = [tex](3.14)(1)^2(6)[/tex]
V = [tex]18.84[/tex]

Now subtract the volume of cup A from cup B.

18.84 - 4.187 = 14.653

cup B will hold 14.7 cubic inches more juice than cup A.

The answer is C.

Hope this helps :)

Can you please help me with this one please

Answers

The volume of this box is indeed 84 in^3.  What were you looking for beyond that?

Base:  (7 in)(3 in) = 21 in^2
Height:  4 in
volume = (21 in^2)(4 in) = 84 in^3 (answer)

The volume of this box is indeed 84 in^3.  What were you looking for beyond that?

Base:  (7 in)(3 in) = 21 in^2

Height:  4 in

volume = (21 in^2)(4 in) = 84 in^3 (answer)

find the difference. express your answer in simplest form. (5s/s^2-10s+25) - (25/s^2-10s+25)

Answers

To solve this problem  you must apply the proccedure shown below:

 1. You have the following expression:

 (5s/s^2-10s+25) - (25/s^2-10s+25)

 2. As you can see, they have the same denominator, therefore, you can rewrite it as below:

 (5s-25)/ (25/s^2-10s+25)

 3. When you factor ir, you obtain:

 5(s-25)/(s-5)(s-5)

 3. Simplifying:

 5/(s-5)

What is the simplified form of square root 64x^16?
A. 8x^4
B. 8x^8
C. 32x^4
D. 32x^8

Answers


   [tex] \sqrt{64x^{16} } [/tex] 
We know that the root of 64 is 8 and the root of 16 is 4.
= [tex]8x^{4} [/tex]

The simplified form of [tex] \sqrt{64x^{16} } [/tex] is [tex]8x^{4} [/tex].

A giant pencil, in the shape of a cylinder, has a length of 36 inches and a diameter of 6 inches. On top, it has a cone-shaped tip with a height of 4 inches. What is the volume of the pencil terms of pi?

Answers

r=3
Vcyl.=36(9π)=324π
Vcone=4(9π)=36π
V pencil=324π+36π=360π

what is the answer to 5+2x10

Answers

We are given expression :  5+2x10.

It can be read as 5 plus 2 times 10.

Now, we need to see, what operation should carry out first.

Please note: We always follow the order of operations.

The order of operations could be follow by the rule  PEMDAS.

It stands for Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

We don't have Parentheses, Exponents in the given problem.

So, we would start order of operations: first multiplication and then addition.

So, we need to multiply 2 × 10 first.

2 × 10 = 20.

Now, we need to apply addition operation.

Therefore, 5+2x10 = 5+20.

On adding 5 and 20, we get 25.

So, the final answer is 25.

Answer:

25 (assuming the x means multiplication)

Step-by-step explanation:

Start by using PEMDAS (Parenthesis, exponents, multiplication and division from right to left, addition and subtraction from right to left) you would start with multiplication or 2x10 which is 20 and then you have 5+20 left and that is obviously just 25

The sum of two numbers is 55. One number is 4 times as large as the other. What are the numbers? PLEASE HELP

Answers

11 and 44 because 44 is 4 times as much bigger than 11

Answer:

44 and 11

Step-by-step explanation:

A circle has an area of 78.5 square inches. What is the diameter of the circle?

Answers

We have to know the formula to finding the area of a circle. Since the area is clearly rounded, we can use 3.14 for pi.
R^2•3.14=78.5
Let’s divide both sides by 3.14.
R^2=25
5•5
5
So the radius is 5. The diameter is double the radius. The diameter of the circle is 10.
Final answer:

To determine the diameter of a circle with an area of 78.5 square inches, we solve for the radius using the area formula (A = πr²). We find the radius to be 5 inches, and since the diameter is twice the radius, the diameter is 10 inches.

Explanation:

The student has asked how to determine the diameter of a circle if the area is known to be 78.5 square inches. To find the diameter, we first need to calculate the radius using the area formula for a circle, which is A = πr², or area equals pi times the radius squared. Pi (π) is approximately 3.14159, but for most calculations, we can use 3.14 for simplicity.

To solve for the radius, we rearrange the formula to r² = A / π. Plugging in the given area of 78.5 square inches:

r² = 78.5 / 3.14 = 25

Next, we take the square root of both sides to find the radius: r = √25 = 5 inches.

Now that we have the radius, we can determine the diameter by multiplying the radius by 2, as the diameter is twice the length of the radius. Thus, the diameter of the circle is 10 inches.

Find the product of 2x4(2x2 + 3x + 4)

Answers

Answer:

The answer is 4x^6 + 6x^5 + 8x^4

Step-by-step explanation:

2x^4(2x^2 + 3x + 4)                 Note: You add the exponents for multiplactation

4x^6 + 6x ^5 + 8x^4                 Note: the exponent is 5 instead of 4 for the 2nd                                                                 :)                                                 term of the soultion because there is a x on 3

                                             

I hope this helps you

The base of a pryramid can be any polygon how many faces does a pentagonal pyramid have ? Describe the shapes of the faces 22 points plz help give a good answer

Answers

The pentagonal pyramid will have 6 faces: 5 triangular and 1 pentagonal.  We know what one face is - the pentagonal base.  Since a pentagon has five edges, and the other triangular faces extend from these edges to the point of the pyramid, there must be 5 other sides.  I have also attached images of this pyramid both regular and flattened out so you can picture what it looks like.

A pentagonal pyramid has six faces: one pentagonal base and five triangular lateral faces. Each side of the pentagonal base connects to the apex forming five triangular faces. The total number of faces is six.

A pyramid is a three-dimensional geometric shape with a polygon as its base and triangular faces that meet at a single point called the apex.

A pentagonal pyramid has a base in the shape of a pentagon.

The total number of faces in a pentagonal pyramid equals the number of sides on the base (5) plus one more for the base itself, giving a total of six faces.

Thus, a pentagonal pyramid consists of six faces - one pentagonal base and five triangular lateral faces.

how much green ooze was carried all??

Answers

There is 4 1/2 cups of green ooze

Answer:

[tex]5[/tex] cups.

Step-by-step explanation:

We have been given a line plot, which represents the cups of green ooze. We are asked to find the total number of cups.

To find the total number of cups, we will add all the given quantities as shown below:

[tex]2\times\frac{1}{4}+2\times\frac{3}{8}+2\times\frac{1}{2}+3\times\frac{5}{8}+\frac{7}{8}[/tex]

[tex]\frac{2\times1}{4}+\frac{2\times3}{8}+\frac{2\times1}{2}+\frac{3\times5}{8}+\frac{7}{8}[/tex]

[tex]\frac{2}{4}+\frac{6}{8}+\frac{2}{2}+\frac{15}{8}+\frac{7}{8}[/tex]

Make a common denominator:

[tex]\frac{2\times2}{4\times2}+\frac{6}{8}+\frac{2\times 4}{2\times 4}+\frac{15}{8}+\frac{7}{8}[/tex]

[tex]\frac{4}{8}+\frac{6}{8}+\frac{8}{8}+\frac{15}{8}+\frac{7}{8}[/tex]

Add numerators:

[tex]\frac{4+6+8+15+7}{8}[/tex]

[tex]\frac{40}{8}[/tex]

[tex]5[/tex]

Therefore, there are [tex]5[/tex] cups of green ooze in all.

4. Rosa plays games at a fair. She can buy 8 game tokens for $ 1. Each game cost 2 tokens. How many games can she play with 120 tokens? Write a rule and complete the table.

Please help with the bottom one too

Answers

Answer:

60 tokens and the rule is the number of tokens divided by 2

20 cups of oats and the number of cups of raisins times 2

Final answer:

Rosa can play a total of 60 games with 120 tokens.

Explanation:

To determine the number of games Rosa can play with 120 tokens, we need to divide the total number of tokens by the number of tokens required to play a game. Since each game costs 2 tokens, we divide 120 by 2. This gives us the number of games Rosa can play, which is 60.



We can also write a rule to calculate the number of games Rosa can play. Let G represent the number of games, and T represent the number of tokens. The rule would be: G = T ÷ 2. We can substitute T with 120 to find G: G = 120 ÷ 2 = 60.



Here is a table that shows the number of games Rosa can play for different numbers of tokens:




 
   Number of Tokens
   Number of Games
 
 
   2
   1
 
 
   4
   2
 
 
   6
   3
 
 
   8
   4
 
 
   10
   5
 
 
   ...
   ...
 

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HURRY BRAINLIEST ALREADY TAKEN BUT WOULDN'T IT BE NICE TO KNOW YOU HELPED SOMEONE? :)
Is this right? Problem attached

Answers

The distance between Angela's house and the gas station, is the distance between the points (4,3) and (10,8). To find that distance, we are going to use the distance formula: [tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} [/tex]

From our two points we can infer that [tex]x_1=4[/tex], [tex]y_1=3[/tex], [tex]x_2=10[/tex], and [tex]y_2=8[/tex]. So lets replace those values in our ditance formula:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} [/tex]
[tex]d= \sqrt{(10-4)^2+(8-3)^2} [/tex]
[tex]d= \sqrt{(6)^2+(5)^2}[/tex]
[tex]d= \sqrt{36+25}[/tex]
[tex]d= \sqrt{61} [/tex]

We can conclude that the gas station is [tex] \sqrt{61} [/tex] units, which is approximately 7.8 units, from her house.  

HELP ME PLEASE!!!!!!



The body of a 154-pound person contains approximately 2 X 10^-1 milligrams of gold and 6 X 10^1 milligrams of aluminum. Based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body?

Answers

The number of milligrams of aluminium in the body is 300 times the number of milligrams of gold in the body.

Given amount of gold is = g =  [tex]2 * 10^{-1}[/tex] mg.

Given amount of aluminium is = a = [tex]6*10^1[/tex] mg.

Let the number of milligrams of aluminium in the body is "k" times the number of milligrams of gold in the body.

So, a = kg

[tex]k=\frac{a}{g}\\k=\frac{6\cdot10^{1}}{2\cdot10^{-1}}\\k=300[/tex]

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Final answer:

The body of a 154-pound person contains approximately 300 times more milligrams of aluminum than milligrams of gold. This is found by dividing the amount of aluminum (60 milligrams) by the amount of gold (0.2 milligrams).

Explanation:

To find out how many times the number of milligrams of aluminum is compared to that of gold in a 154-pound human body, we need to divide the amount of aluminum by the amount of gold. The problem states that there are 2 X 10^-1 milligrams of gold and 6 X 10^1 milligrams of aluminum. If we simplify these expressions, we get 0.2 milligrams of gold and 60 milligrams of aluminum.

Next step is to divide the number of milligrams of aluminum by the number of milligrams of gold. Hence, 60 ÷ 0.2 gives us 300.

Therefore, the body of a 154-pound person contains approximately 300 times more aluminum than gold.

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HELP ASAP!!
The graph shows one of the linear equations for a system of equations. Which equation represents the second linear equation for the system of equations that has the solution which corresponds to a point at (2, 0)?
A) -x - 3y = 2
B) x + 3y = -2
C) 5x + y/2 = 10
D) 5x + y/2 = -10

Answers

C. It is the only equation where you can put in that ordered pair and get a correct statement. 

Answer:

c

Step-by-step explanation:

all tickets for a concert are the same price.the ticket agency adds a fixed fee to every order.a person who orders 5 tickets pays $93.a person who buys 3 tickets pays $53

Answers

X will be ticket cost Y is ticket agency fee 5X+y = $93 3x+y = $57 To solve, multiply the second by negative 1. -3x-y = -$57 Then subtract the second from the first. 5X+y = $93 -3x-y = -$57 To give you 2x=$36 Divide both sides by 2 to get x=$18 If x=$18, then plug it in to get your solution for y! 5($18) +y =$93 $90+y=$93 Y=$3 3($18)+y = $57 $53 +y =$57 Y=$3


Final answer:

The question can be solved using a system of linear equations. The price of each ticket is found to be $20, and the fixed fee added by the ticket agency is $13.

Explanation:

The subject of this question concerns solving a system of linear equations. Given the two scenarios, buying 5 tickets for $93 and buying 3 tickets for $53, we can represent these as equations where 't' represents the price of a ticket and 'f' represents the fixed fee. The equations thus become:

5t + f = 933t + f = 53

To solve this system of equations, we could subtract the second equation from the first, which would eliminate 'f' and yield an equation only in terms of 't'. This would look like:

2t = 40

From here, we can see that t (the price of each ticket) equals $20. We can then substitute 't' into one of the equations to find the fixed fee 'f', which in this case equals $13.

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Which expression is NOT equivalent to 8 times −5 and 1/4?

Drag this expression to the box.

Answers

The correct answer is 8×(-6) - 8×3/4.

Simplifying this problem is the same as the problem 8× - 6 3/4, not 8× -5 1/4.

Answer:

Step-by-step explanation:

which is a table of values for y = x - 12

Answers

we have that
y=x-12
so

for x=-5
y=-5-12----> y=-17

for x=-8
y=-8-12----> y=-20

for x=-7
y=-7-12----> y=-19

the answer is
x     y
-5  -17
-8  -20
-7  -19

Answer:

The second one

Step-by-step explanation:

-5 -17

-8 -20

-7 -19

PLEASE HELP ME 19 POINTS What is the perimeter of quadrilateral MNOP ?
16 units
18 units
22 units
36 units

Answers

The answer is 22. Add the 2 dudes of 6 to get 12. Use Pythagorean theorem to get 5 as each diagonal side. So 10 plus 12=22.

The value of the perimeter of quadrilateral MNOP is,

= 22 units

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

A quadrilateral MNOP is shown in figure.

M = (- 2, 2)

N = (2, 5)

O = (8, 5)

P = (4, 2)

Now, We can formulate;

MP = 6 units

PO = √(8 - 4)² + (5 - 2)²

PO = √ 25

PO = 5

Thus, The value of the perimeter of quadrilateral MNOP is,

= 2 (MP + PO)

= 2 (6 + 5)

= 2 x 11

= 22 units

So, The value of the perimeter of quadrilateral MNOP is,

= 22 units

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C equals 5/9 F32 the nearest whole degree what is the temperature in the degrees Fahrenheit when it is 90 degrees Celsius

Answers

The temperature in degrees Fahrenheit when it is 90 °C is approximately 194 °F. Therefore, option d is the correct answer.

Let's use the correct formula [tex]F = \frac{9}{5}C +32[/tex] to find the temperature in degrees Fahrenheit when it is 90 °C.

[tex]F = \frac{9}{5} *90+32[/tex]

Now, let's calculate:

[tex]F = \frac{9}{5} *90+32[/tex]

F=162+32

F=194

Therefore, the temperature in degrees Fahrenheit when it is 90 °C is approximately 194 °F.

So, the correct answer is D. 194 °F.

PLZ HELP 20 POINTS!

What is7√2 in simplest radical form?

Answers

9.8 I think... I hope this helps in any way

URGENTAbel uses a probability simulator to roll a six-sided number cube 100 times and to flip a coin 100 times. The results of the experiment are shown below: Number on the Cube
Number of Times Rolled
1 l 12
2 l 18
3 l 30
4 l 22
5 l 10
6 l 8
Heads:34 Tails:66
Using Abel's simulation, what is the probability of rolling a 2 on the number cube and the coin landing on tails?
84/10,000
1,188/10,000
18/100
66/100

Answers

The running of the simulation serves to give us an approximate probability of each of the outcomes, so in this case, P(Tails)=66/100 and P(2)=18/100.
The probability of two independent things occurring can be written as P(A)*P(B).
Therefore, the probability of a 2 and tails is (66/100)*(18/100)=0.1188= 1188/10000

a parking garage charges $2.00 for the first hour and $0.50 for each fraction of an hour thereafter. Which statement describes the relationship between the parking fee and the amount of time a person parks in the garage? A. the parking fee depends on the amount of time a person uses the garage B. The amount of time a person uses the garage depends on the parking fee C. the parking fee and the amount of time a person uses the garage are independent D. the relationship cannot be determined

Answers

The answer is A. The parking fee depends on the amount of time a person is parked

6 grade math plz help

Answers

A. Lily made $75.36 more than Layla.
B. She is incorrect.

A. First find out how many cupcakes each made. To do so, you multiply 8 by 60 to find how many minutes are in those 8 hours, then divide by the number of minutes it took for each batch.
Next you'd multiply the answer you get by the number of cupcakes in each batch, to get how many they made total.
After that, you find how many each of them sold.
Then, you multiply how many they sold, by how much each costed.
Finally, you subtract the smaller value from the larger value to find the difference, and who made the most money.

Lily: First, 8*60 = 480. Divide 480 by 10 (how long each batch took) to get 48. Multiply 48 by 7 to get how many cupcakes she made (336).
Next, divide 336 by 3, to get 112, then multiply by 2 to find how many she sold (2/3 of 336 = 224).
Then, multiply 224 by $1.29 to find how much she made ($288.96).

Layla: First, 8*60 = 480 and divide 480 by 12 (again, how long each batch took) to get 40.
Multiply 40 by 8 (cupcakes per batch) to get 320.
Divide 320 by 4 to get 80, then multiply 80 by 3 to get how many she sold (240).
Multiply $0.89 by 240 to get her total ($213.60).
Finally, subtract Layla's total from Lily's total to find out how much more Lily made.

B. Since Layla made 240 cupcakes, and she thinks selling each for a dollar will make her total larger than Lily's, multiply $1.00 by 240, to get $240.00, thus proving her hypothesis was incorrect.

I hope this helps!


Which point is a solution to the system of equations graphed below?

Answers

I would say, "6.5, 5." 

Simplify the expression

Answers

Notice that we have a difference of squares in the numerator of our expression. In the denominator we have a quadratic expression of the form [tex]ax^2+bx+c[/tex]. So we can factor both numerator and denominator and cancel common terms:
[tex] \frac{w^2-9}{w^2-4w-21}= \frac{w^2-3^2}{(w+3)(w-7)} = \frac{(w+3)(w-3)}{(w+3)(w-7)}= \frac{w-3}{w-7} [/tex]

We can conclude that the correct answer is the fourth one: [tex]\frac{w-3}{w-7}[/tex] 

Which statement is true about the parts of this expression?

7.5y - z/9 + 50 +2y

A) The constant is 7.5.B) The coefficients are 7.5 and -9.C) The variables are and y.D) The like terms are 7.5y and 2y.

Answers

A) The constant is 7.5.  FALSE.  7.5 is a coefficient, not a constant.

B) The coefficients are 7.5 and -9.  FALSE.  The coefficients are 7.5, -1/9 and 2.  50, being a constant, could be regarded as a coefficient in this case.

C) The variables are x and y.  FALSE.  There are three variables:  x, y and z.

D) The like terms are 7.5y and 2y.  TRUE.  The variable (y) is the same in each term.

Answer:

D

Step-by-step explanation:

a=false

b=false

c=false

d=true

edge.

1)you can use any side as the__ of a triangle.
2)An ___ is a region blinded by an arc and the two radii to the arcs endpoints.
3)the distance from the center to a vertex is the ___ of a regular polygon.
4)two arcs of a circle with exactly one point in common are ___.

9) A triangle has legs measuring 5ft and 12ft, and hypotenuse measuring 13ft. What is the area?

13) is the picture above.

17) what is the area of a regular hexagon with a perimeter of 240cm?

I have more questions but will post separately because they are all pictures!!!!

Answers

Answers:
(1) Base
(2) Sector of a circle
(3) Radius
(4) Adjacent arcs
(9) 30
(13) 256 ft^2
(17) 4156.92 cm^2

Explanations:
(1) It's a common convention that you can choose any side of a triangle as a base, but in specific cases like in the right-angled triangle, the base should always be the adjacent leg with which the 90 degree angle is made. In other words, in the case of right-angled triangle, the two legs of a triangle must be perpendicular to one another (meaning make 90 degrees angle). But in general triangles you can choose any side as a base of a triangle.

(2) The image is attached below. As you can see that a sector of a circle is actually the region which is shaded. Two radii that meet at the end points of an arc yield a region within a circle know as "sector". Hence the correct fill in the blank is the "sector of a circle." 

(3) The radius of a regular polygon is the distance from the center to any vertex. It is the same for each and every vertex. The radius is also the radius of the polygon's circumcircle, which is the circle that passes through every vertex. In this role, it is sometimes called the circumradius. Hence the correct answer is "radius."

(4) Adjacent arcs in simple words are the arc that lie next to each other. They have one point in common being next to each other. Hence the correct answer is adjacent arcs. One interesting fact is that a circle is made up of very large number of adjacent arcs.

(9) As the hypotenuse is mentioned, it means that it is a right-angled triangle; therefore:

Area of a right angled triangle = 1/2 * base * height
Area of a right angled triangle = 1/2 * 5* 12 = 30 ft^2

(13) The picture consists of FOUR right-angled triangles (making a parallelogram) therefore the area would be:
Area = 4 * 1/2 * base * height
Area = 4 * 1/2 * 12.8* 10 = 256 ft^2

(17) The general formula for the area of a polygon is:
Area = [tex] \frac{3 \sqrt{3} a^2 }{2} [/tex]

Where P = perimeter = 6a (hexagon)
=> a = P/6 

Plug in the values
Area = [tex]\frac{ \sqrt{3} P^2 }{24} = \frac{ \sqrt{3} (240)^2 }{24} = 4156.92 cm^2[/tex]

The cage is 4 feet tall, 22 inches, wide, and 2 yards long. What is the volume of the cage in cubic inches?

Answers

Convert everything to inches.
4 ft × 12 = 48 in
2 yds × 36 = 72 in

Multiply 48 × 22 × 72 = 76032.

The volume of the cage is 76,032 in³.

Step One
Convert all the non inch measurements to inches.

4 feet [ 12 inches / 1 foot] = 48 inches      [The feet as units cancel]
22 inches = 22 inches. No conversion needed.
2 yards [ 3 feet / yard ] * [ 12 inches / foot ]  = 72 inches.

Step Two
Find the volume

V = L * W * H
V = 48 * 22 * 72
V = 76032 cubic inches. <<<<<< Answer

The running back for the Bulldogs football team carried the ball 3 times for a total loss of 6 3/4 yards. Find the average change in field position on each run. Enter the average change as a simplified mixed number.

Answers

-6 3\4 / 3 = -2 1/4
Average of -2 1/4 yards per play
Final answer:

The average change in field position per run is -2 1/4 yards. This is found by dividing the total yardage lost (6 3/4 yards) by the number of runs (3).

Explanation:

The subject of this problem is calculating the average. In this case, we are looking for the average yardage lost by the running back on each run. The running back for the Bulldogs football team has carried the ball 3 times for a total loss of 6 3/4 yards.

To find the average change in field position on each run, divide the total loss by the number of runs:

Convert the mixed number 6 3/4 to an improper fraction. This gives us 27/4. Divide the numerator (27) by the denominator (4). This gives us -6.75. Divide -6.75 by 3 (the number of runs). This gives us -2.25. Convert -2.25 to a mixed number, which gives us -2 1/4.

Therefore, -2 1/4 yards is the average change in field position on each run.

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Other Questions
Which factors would explain this pattern among predator and prey populations in this area?A- When the prey population decreases, there is less food for predators.B- When the prey population increases, there is more food for predators.C- When the prey population increases, there is less food for predators.D- When the prey population decreases, there is more food for predators. When sue's friends decide to go to a movie instead of a restaurant, sue goes along with them because she is afraid her friends will reject her if she doesn't. sue's behavior is being influenced by? Where did slaves have harder lives? A. Rural farms B. Shops and merchant businesses C. Urban areas D. Large plantations Which was true of labor unions during the harding administration? Please help! Vectors and angles A ship is sailing through the water in the English Channel with a velocity of 22 knots along a bearing of 157 (knots being a unit used to measure the speed of aircrafts and boats). The current has a velocity of 5 knots along a bearing of 213. Find the resultant velocity and direction of the ship. (Remember that bearing is measured clockwise from the north axis).1) 25 knots at 166.5 degree2) 27 knots at 350 degree3) 166.5 knots at 25 degree4) 350 knots at 27 degree Find the margin of error for each sample. Then find an interval likely to contain the true population proportion. a. 15% of 457 teachers b. 56% of 87 musicians Full answers please The steepness, or grade, of a highway or railroad is expressed as a percent. In the photo of the cog railway at Pikes Peak, in Colorado, the grade is 18%. Thus, for every 100 ft of horizontal run, the train rises 18 ft. Find the angle of the inclination of the railway. What is the correct meaning of the word particular?Millie looked through all of the markers until she found the particular shade to color the flowersA) extremely rareB) separate and distinct C) easily seen or noticed D) commonly occurring The formula for the illegal drug cocaine is c17h21no4 (303.39 g/mol). what is the percentage of hydrogen in the compound? 21.09% 4.618% 67.30% 6.991% 3.959% How is refraction different from reflection?A. Refraction occurs only within the same mediumB. The light travels at the same speed as before it wasC. The angle of refraction is measured from the flat surface rather than from the normalD. The angle of refraction is not necessarily equal to the angle of incidence A big ice shelf has broken in two. The shelf had been in one piece for 3,000 years! Now, scientists are trying to find out why it split. Scientists know that the air has been warmer. This made the ice thinner. Scientists are studying why the air is getting warmer. They think that it could be because of the dirt that is put into the air. However, they need to know more. For now, scientists will watch the temperature. They will see if it stays warm, or if it starts to cool down again. Do It! The scientists are _________. A lonely B curious C unpleasant D proud Hello there! What is the role of the Mitochondria? Thanks! Some Legal Rights of a JuvenileRight to a lawyerRight to provide witnesses and evidenceRight to remain silentRight to appeal What can you conclude about the information given here?A)Juveniles have far fewer rights than adults.B)Adults have far fewer rights than juveniles.C)Juveniles and adults have some of the same legal rights.D)The legal system is meant to keep juveniles from a fair trial. a student is infected by a common cold virus ran a low-grade fever. After a few days, the students temperature returned to normal and the student was free of cold symptoms. the fever served as The coordinate grid shows the plot of four equations. A coordinate plane is shown with four lines graphed. Line A crosses the x axis at negative 3.2 and has a slope of 4. Line B crosses the x axis at 3 and the y axis at 6. Line C crosses the x axis at 1.5 and the y axis at negative 6. Line D crosses the x axis at negative 3 and the y axis at 3. Which set of equations has (2, 2) as its solution? A and D B and D A and C B and C A photo of a painting measures 13 inches by 17 inches. The scale factor is 1 3 . What size is the painting? In 1979, a major accident at Three Mile Island causeda.the death of over one million people.b.loose faith in Carters economic plans for America.c.questions to arise over the use of nuclear energy.d.the energy crisis experience by America in the 1970s.Please select the best answer from the choices providedABCD What makes Rohan the protagonist of "The Catch? What baroque artist from a Protestant country did not produce work from a Catholic Church? To convert a distance of 1.25 miles to feet, which ratio could you multiply by? Remember that 1 mile = 5280 feet.