help me out??? first pic is the graph second is the answer choices

Help Me Out??? First Pic Is The Graph Second Is The Answer Choices
Help Me Out??? First Pic Is The Graph Second Is The Answer Choices

Answers

Answer 1

Answer: Choice D.   2x^2+2y^2 = 32

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Explanation:

The highest point of this circle is (0,4). The lowest point is (0,-4). The midpoint between the two mentioned points is (0,0). This is the center of the circle. You'll find that (0,0) is also the midpoint of the left-most and right-most points on this circle.

(h,k) = (0,0) is the center

r = 4 is the radius as it is the distance from the center to the edge of the circle

(x-h)^2 + (y-k)^2 = r^2

(x-0)^2 + (y-0)^2 = 4^2

x^2+y^2 = 16 is one way to express the equation of the circle

For some reason, your teacher has decided to multiply both sides by 2. I'm not exactly sure why. But doing so leads to...

x^2+y^2 = 16

2(x^2+y^2) = 2*16

2x^2+2y^2 = 32

This matches up with choice D.

Answer 2

Answer:

D.

Step-by-step explanation:

According to the graph, the circle has a center of (0, 0) and a radius of 4. That means that the equation of the circle will be (x - 0)^2 + (y + 0)^2 = 4^2.

x^2 + y^2 = 16

A. If you divided all terms by 20, the radius would become 16 / 20 = 8 / 10 = 0.8. That is not 1, so choice A is incorrect.

B. If you multiplied all terms by 6, the radius would be 16 * 6 = 96, which is not 144. Choice B is incorrect.

C. This choice is obviously incorrect, since it should be + y instead of - y.

D. This choice is correct. All terms are multiplied by 2.

Hope this helps!

Help Me Out??? First Pic Is The Graph Second Is The Answer Choices

Related Questions

winthrop has $4.40 worth of nickles and dimes. If winthrop has 3.5 times as many nickles as he has dimes, how many dimes does he have?

Answers

Answer:

16

Step-by-step explanation:

If n is number of nickles and d is number of dimes:

5n + 10d = 440

n = 3.5d

Substitute:

5(3.5)d + 10d = 440

17.5d + 10d = 440

27.5d = 440

d = 16

What is the value of r? What is the length of EB?

Answers

Answer:

r=9

EF = 55

Step-by-step explanation:

CF = ED

9r - 6 = 8r+3

Subtract 8r from each side

9r-8r - 6 = 8r-8r+3

r-6 =3

Add 6 to each side

r-6+6 = 3+6

r = 9

EF= CD = 4r+19

            = 4*9+19

              =36+ 19

               =55

Compare the functions shown below: f(x) x y −3 −27 −2 −8 −1 −1 0 0 1 1 2 8 3 27 4 64 g(x) linear graph with y intercept of negative 1 and x intercept of negative 2 h(x) = (x + 4)2 + 2 What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x = 0 to x = 4? f(x), g(x), h(x) g(x), f(x), h(x) h(x), g(x), f(x) g(x), h(x), f(x)

Answers

Hey There!!

To get the average rate of change, we simply have to use this formula:

ARC = (y2 -y1) / (x2 - x1)

For the first function:

ARC = (64 - 0) / (4 - 0) = 16

For the second function, since it's a line, the ARC would just be equal to the slope

m = ARC = (-1 - 0) / (0 - (-2)) = -0.5

For the third function:

h(0) = 18

h(4) = 66

ARC = (66 - 18) / (4 - 0) = 12 Therefore, the order of the functions from lest to greatest according to the average rate of change on the interval from x= 0 to x = 4 is:

g(x)

h(x)

f(x)

Hope This Helps!!

By ☆Itsbrazts☆

Answer:

slope of f(x) is 16 slope of g(x) is -1/2 and tho slope of h(x) 12.5

Step-by-step explanation:

Which of these r-values represents the strongest correlation?
A. -0.7
B. -0.8
C. -0.6
D. -0.5

Answers

I guess the answer is D because it is the most far from -1 rather than the other

Answer: The answer should be D.-0.5

What type of right triangle would you use this formula for and why?

c=2a​

Answers

Answer:

30 60 90 triangle

the hypotenuse is twice the length of the shorter leg length.

HELP! 8TH GRADE MATH. I WILL NAME BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

y = -|x| + 1

Start with the absolute value function: y = |x|. Reflect it over the x-axis by making it y = -|x|. Finally, shift up 1 unit by adding one, getting a final answer of y = -|x| + 1.

GRADE
Perimeter: Change in Dimensions
A rectangle ABCD has a width of 3 inches and a length of 7 inches.
a) What is the Perimeter of the rectangle?
BINDEX
b) What is the Perimeter of the new rectangle if you double the width of rectangle ABCD? How did you find
it? How many times bigger or smaller did the new Perimeter get? (You can divide the new Perimeter over the
old one to find the times of increase/decrease)
c) What is the Perimeter of the new rectangle if you double the width and length of rectangle ABCD? How did
you find it? How many times bigger or smaller did the new Perimeter get compared to the perimeter of
rectangle ABCD?
d) Now choose a different shape of your liking and give it your own dimensions. Answer questions a), b), c)
and d) for the shape you chose.
e) Can you generalize what happens to the Perimeter if you change one of the dimensions of a shape and
what happens when you change both dimensions of the shape?
lick "Create lournal Fntn" tn antar un

Answers

Answer:

A) 20 in

B) 26 in and it got bigger by 1.3 times

C) 40 in and it got bigger by 2 times

Step-by-step explanation:

A) so the formula for finding perimeter is P= 2(L+W) so its (3+7)*2 = 20

B) if you double 3, 3*2=6 then it is 2*(6+7) = 26. 26/20= 13/20= 1.3 times more

C) if you double 3, 3*2=6 and 7, 7*2= 14 then it is (14+6)*2 = 40. 40/20=2/1 = 2 times more.

Also i couldnt solve D for you but try to solve it using what I wrote below.

Hope it helps :)

Small roads with lower speed limits are known as:
O A. interstate highways.
O B. secondary roads.
C. streets
O D. county roads.​

Answers

Answer:

  B. secondary roads

Step-by-step explanation:

While all of streets, county roads, and secondary roads are generally designed to carry less traffic and/or have lower speed limits than interstate highways, the generic name for such roads is ...

  secondary roads.

Calcule o valor dos produtos a) (-4). (-7/8) b) (-4). (-7/8) n sei pq tá repetido tá aqui na folha ;-; c) (-4).(+ 3,5) d) (-2).(-3/4). (-1/7) PRA HOJEE

Answers

Answer:

a) (-4). (-7/8) = 28/8

b) (-4). (-7/8)= 28/8

c) (-4).(+ 3/5) = -12/5

d) (-2).(-3/4). (-1/7) = (6/4)(-1/7)= -6/28

Step-by-step explanation:

a) (-4). (-7/8) = 28/8

b) (-4). (-7/8)= 28/8

c) (-4).(+ 3/5) = -12/5

d) (-2).(-3/4). (-1/7) = (6/4)(-1/7)= -6/28

É repetido talvez com sinal alterado para mostrar a diferença na resposta. Se o sinal for alterado, a resposta também se tornará negativa. Seria - 28/8.

Quando um número negativo é multiplicado por um número negativo, obtém um número positivo. Mas quando um número positivo é multiplicado por um número negativo, dá uma resposta negativa.

Sempre se lembre

negativo * negativo = positivo

positivo * negativo = negativo

negativo * positivo = negativo

positivo * positivo = positivo

Em palavras simples, dois sinais diferentes dão um sinal negativo e dois sinais semelhantes dão um sinal positivo na multiplicação.

English

a) (-4). (-7/8) = 28/8

b) (-4). (-7/8)= 28/8

c) (-4).(+ 3/5) = -12/5

d) (-2).(-3/4). (-1/7) = (6/4)(-1/7)= -6/28

Its repeated maybe with a changed sign to show the difference in the answer. If the sign is changed the answer would also become negative . It would become - 28/8.

When a negative number is multiplied with a negative number it gives a positive number. But when a positive number is multiplied with a negative number it gives a negative answer.

Always remember  

negative * negative= positive  

positive *negative=negative

negative *positive =negative

positive * positive =  positive

In simple words two unlike signs give a negative sign and two similar signs give a positive sign in multiplication.

If 300men can do a piece of work in 16days,how many men would do 1/5 of the work in 15days?

Answers

Answer:

60men

Step-by-step explanation:

300 men - 15 days - 1 work

men? - 15 days - 1/5 of work

When 1 man does 1/5 of work,

how many days needed = (15 × 1/5) × 300 = 900days

Men needed to complete 1/5 work in 15 days = 900 ÷ 15 = 60men

If f'(x) = 12x^3 - 2x^2 - 17 and f(1) = 8 , find f(x).

Answers

Answer:

f(x) =  3x⁴ - [tex]\frac{2X^{3} }{3}[/tex] - 17x +  [tex]\frac{68}{3}[/tex]

Step-by-step explanation:

To find f'(x), we will follow the steps below:

We will start by integrating both-side of the equation

∫f'(x) = ∫(12x^3 - 2x^2 - 17)dx

f(x)  = 3x⁴ - [tex]\frac{2X^{3} }{3}[/tex] - 17x + C

Then we go ahead and find C

f(1) = 8

so we will replace x by 1 in the above equation and solve for c

f(1)  = 3(1)⁴ - [tex]\frac{2(1)^{3} }{3}[/tex] - 17(1) + C

8 = 3 - [tex]\frac{2}{3}[/tex] - 17 + C

C =8 - 3 + 17 + [tex]\frac{2}{3}[/tex]

C = 22 +  [tex]\frac{2}{3}[/tex]

C =[tex]\frac{66 + 2}{3}[/tex]

C = [tex]\frac{68}{3}[/tex]

f(x) =  3x⁴ - [tex]\frac{2X^{3} }{3}[/tex] - 17x +  [tex]\frac{68}{3}[/tex]

Please answer this question now

Answers

Answer:

e =7.1

Step-by-step explanation:

[tex]Hypotenuse = 10\\Opposite =e\\Adjacent =7\\\\Using\:Pythagoras\:Theorem\\Hypotenuse^2=Opposite^2+Adjacent^2\\10^2 =e^2 + 7^2\\100 =e^2+49\\100-49=e^2\\\\51 =e^2\\\sqrt{51} =\sqrt{e^2}\\ e = 7.141\\\\e = 7.1[/tex]

What is the function rule for the line

Answers

C)

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

x= -3
f(0)= -2

Which table represents a function?

Answers

Answer:

Table 4 represents a function.

Step-by-step explanation:

Functions require that each x-value has a unique y-value. In the other tables you see a value repeated in the x column, with a different value in the y column.

what is the 8th term of the geometric sequence with this explicit formula ?

Answers

Answer: C.) - 896

Step-by-step explanation:

Given the explicit formula :

An = 7 × (-2)^(n-1)

The 8th term of the geometric sequence using the formula will be :

n = 8

A8 = 7 × (-2)^(8-1)

A8 = 7 × (-2)^7

A8 = 7 × (-128)

A8 = - 896

Help me with these 2 questions please

Answers

Answer:

1st one= B 25 cents

2nd one= D 2 miles

Step-by-step explanation:

1.

8x3=24

6/24=25

= 25 cents

2.

1.6 km= 1 mile

so 1/2 of a mile =

0.8 km

1/4 of an hour = 15 minutes

0.8km= 15 minutes

15x3= 45  minutes

0.8km x 3= 2.4km

2.4km = 2 miles

hope it helps hunney xx

2) The senior classes at High School A and High School B planned separate trips to the local
amusement park. The senior class at High School A rented and filled 2 vans and 14 buses with
294 students. High School B rented and filled 3 vans and 7 buses with 161 students. Each van
and each bus carried the same number of students. Find the number of students in each van and
in each bus.
A) Van: 9, Bus: 28 B) Van: 11, Bus: 27
C) Van: 20, Bus: 7 D) Van: 7, Bus: 20

Answers

Answer:

D) Van: 7, Bus: 20

Step-by-step explanation:

Add the amount of students together (455 students in total)

Then I added the amount of buses and vans together (5 Vans and 21 Buses)

Then I plugged in each answer

5 x 7 = 35

455 - 35 = 420

420 / 21 = 20

If it rains, I do not go sailing. It rains 10 % 10\% 10% of days; I go sailing 3 % 3\% 3% of days. If it does not rain, what is the (conditional) probability that I go sailing? Written "p(I go sailing | it does not rain)''

Answers

Answer:

0.03333 or 1/30

Step-by-step explanation:

Let A =" I go sailing" and B = "it does not rain"

P(A) = 0.03

P(B) =0.90

Since I never go sailing when it rains, P(A and B) =0.03.

Therefore, the (conditional) probability that I go sailing, given that it does not rain is:

[tex]P(A|B)=\frac{P(A\ and\ B)}{P(B)} \\P(A|B)=\frac{0.03}{0.90}=0.033333[/tex]

The probability is 0.03333 or 1/30.

Brock wants to compete for the featherweight boxing title, but the upper limit for that weight class is 126 pounds. He currently weighs 134 pounds. Brock can lose 3 pounds per day if he does vigorous workouts. The number of days, d, that Brock will need to work out to compete at the featherweight level is represented by the inequality 134 – 3d < 126. Select the fewest number of days he would have to work out to compete at the featherweight level. A. 1 B. 2 C. 3 D. 4 E. 5

Answers

Answer:

C. 3

Step-by-step explanation:

Brock weighs 134 pounds, he will lose 3 pounds a day until he is 126 pounds

D will represent the number of days he will work out.

134 - 3d < 126

134 - 3(3) < 126

134 - 9 = 125

125 < 126

3 days

We can say that Brock needs to workout for minimum 3 days to compete at feather weight level.

Pleas answer it now in two minutes

Answers

Answer:

30

Step-by-step explanation:

cos^-1(square root of 3 divided by 2)

What is the approximate angle between two position vectors if their terminal points are (5, -2) and (7, 3)?

Answers

Hi,

Answer:

[tex]Angle=\frac{pi}{4}[/tex] = π/4 = 45°

Have a good day.

According to a commercial, 4 out of 5 dentist recommend a certain brand of toothpaste. Suppose There are 120 dentist in your area. What is the expected number of dentist who recommend the brand? What is the standard deviation?

Answers

4/5 recommend, so about 4/5(120) = 96 doctors recommend the brand.


The area of a rectangle is 42 ft squared, and the length of the rectangle is 5 ft more than twice the width. Find the dimensions of the rectangle. length and width.​

Answers

Answer:

Length = 12 ft

Width = [tex] \frac{7}{2} ft[/tex]

Step-by-step explanation:

Given,

Area of rectangle = [tex]42 \: {ft}^{2} [/tex]

Width = X

Length = 2x + 5

Now,

[tex]x(2x + 5) = 42[/tex]

[tex]2 {x}^{2} + 5x = 42[/tex]

[tex]2 {x}^{2} + 5x - 42 = 0[/tex]

[tex]2 {x}^{2} + 12x - 7x - 42 = 0[/tex]

[tex]2x(x + 6) - 7(x + 6) = 0[/tex]

[tex](2x - 7)(x + 6) = 0[/tex]

Either

[tex]2x - 7 = 0[/tex]

[tex]2x = 0 + 7[/tex]

[tex]2x = 7[/tex]

[tex]x = \frac{7}{2} [/tex]

Or,

[tex]x + 6 = 0[/tex]

[tex]x = 0 - 6[/tex]

[tex]x = - 6[/tex]

Negative value can't be taken.

So, width = [tex] \frac{7}{2} ft[/tex]

Again,

Finding the value of length,

Length = [tex]2x + 5[/tex]

[tex]2 \times \frac{7}{2} + 5[/tex]

[tex]7 + 5[/tex]

[tex]12[/tex]

Length = 12 ft

Answer:

length = 12 ft, width = 3.5 ft

Step-by-step explanation:

w = width

l = length = 2w + 5

A = wl = w(2w + 5) = 42

2w² + 5w - 42 = 0

(w + 6)(2w - 7) = 0

w + 6 = 0, w = -6 (dimension cannot be negative)

2w - 7 = 0, w = 3.5

l = 2(3.5) + 5 = 12

HELLLPPPP I need a explication on whether or not these angle relationships are possible

Answers

Answer:

Step-by-step explanation:

5x+30 is a corresponding angle with 4x-9 so set them equal to each other. 4x-9+2x+3 will equal 180

Answer:

no, the values would be above 180º

Step-by-step explanation:

if...

(4x - 9) + (2x + 3) + y = 180

(5x + 30) + y = 180

then...

(4x - 9) + (2x + 3) = 5x + 30

so...

6x - 6 = 5x + 30

x = 36

plug it in.

4(36) - 9 = 135

2(36) + 3 = 75

already you can see the sum of these two angles surpasses 180 which is not possible for a triangle.

What is the simplified expression for 3 y squared minus 6 y z minus 7 + 4 y squared minus 4 y z + 2 minus y squared z? y squared minus y squared z minus 10 y z minus 5 y squared minus y squared z minus 5 y z minus 5 7 y squared minus y squared z minus 10 y z minus 5 7 y squared minus y squared z minus 2 y z minus 5

Answers

Answer:

7y^2 - y^2z - 10yz-5

C. 7 y squared minus y squared z minus 10 y z minus 5

Step-by-step explanation:

A. y squared minus y squared z minus 10 y z minus 5

B. y squared minus y squared z minus 5 y z minus 5

C. 7 y squared minus y squared z minus 10 y z minus 5

D. 7 y squared minus y squared z minus 2 y z minus 5

Given:

3y^2 - 6yz - 7 + 4y^2 - 4yz + 2 - y^2z

Collect like terms in the expression

3y^2 + 4y^2 - 6yz - 4yz - y^2z - 7 + 2

Simplify

7y^2 - 10yz - y^2z - 5

Rewritten as

7y^2 - y^2z - 10yz-5

Option C. 7 y squared minus y squared z minus 10 y z minus 5

Is the answer

Answer:

C. 7 y squared minus y squared z minus 10 y z minus 5

Step-by-step explanation:

I took the cumulative exam...

Also I want the person above me to get brainliest... :)

Help me with 5c-4c+c

Answers

5c-4c+c=2c

Step-by-step explanation:

Since there is only addition and subtraction and no other operations, just work from left to right.

5c-4c = c

c+c=2c

Done!

Answer:

2c

Step-by-step explanation:

Because this whole equation consists of numbers with c's and addition and subtraction, you can just add and subtract as if they were regular numbers!

5c-4c+c

c+c

2c

Hope this helped!! :)

how would you solve for x here

Answers

Answer:

x=-1.30068.......

Step-by-step explanation:

x( 3x^2 - 2) = -4

Distribute

3x^3 - 2x = -4

Add 4 to each side

3x^3 - 2x +4 = 0

Plot using a graphing calculator

x=-1.30068.......

answer pls in the pic

Answers

Answer:

Hey there!

6 increased by a scale factor of 1.5 is 9.

9 increased by a scale factor of 1.5 is 13.5.

Thus, the area would be 9 times 13.5, or 121.5

Hope this helps :)

Answer:

121.5 [tex] {in}^{2} [/tex]

Step-by-step explanation:

Let's find the enlarged area:

[tex] = {(scale \: factor)}^{2} \times original \: area[/tex]

Plug the values

[tex] = {(1.5)}^{2} \times 6 \times 9[/tex]

Evaluate the power

[tex] = 2.25 \times 6 \times 9[/tex]

Calculate the product

[tex] = 121.5 \: {in}^{2} [/tex]

Hope this helps...

Best regards!!

Mrs.joshi bought a saree for Rs 1750.she sold it at a profit of 4%.what would be her profit or loss percent ?​

Answers

Answer: Rs 1820

Step-by-step explanation:

This is profit, thus is it a percentage increase of 4%. Thus, she sold the saree for 104% of what she bought it for, Rs 1750.  Thus, simply do 1.04*1750 to get 1820.

Hope it helps <3

Please help me with this question regarding TRIGONOMETRY!

Answers

Answer:

The answer is option 2.

Step-by-step explanation:

First, you have to find the length of CD using Tangent Rule, tanθ = opposite/adjacent:

[tex] \tan(θ) = \frac{oppo.}{adj.} [/tex]

[tex]let \: θ = 48[/tex]

[tex]let \: oppo. = cd[/tex]

[tex]let \: adj. = ad = 110[/tex]

[tex] \tan(48) = \frac{cd}{110} [/tex]

[tex]cd = 110 \tan(48)[/tex]

[tex]cd = 122.17 \: feet[/tex]

Next, you have to find the length of BC using Sine Rule:

[tex] \sin(θ) = \frac{oppo.}{hypo.} [/tex]

[tex]let \: θ = 65[/tex]

[tex]let \: oppo. = cd = 122.17[/tex]

[tex]let \: hypo. = bc[/tex]

[tex] \sin(65) = \frac{122.17}{bc} [/tex]

[tex]bc = \frac{122.17}{ \sin(65) } [/tex]

[tex]bc = 134.8 \: feet \: (near.tenth)[/tex]

Answer:

[tex]\boxed{134.8 \: \mathrm{ft}}[/tex]

Step-by-step explanation:

Let’s take triangle ACD.

Find length CD.

tan θ = [tex]\frac{opposite}{adjacent}[/tex]

tan (48) = [tex]\frac{CD}{110}[/tex]

110 tan (48) = CD

CD ≈ 122.167

Let’s take triangle BCD.

Find length BC.

sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

sin (65) = [tex]\frac{122.167}{BC}[/tex]

BC = [tex]\frac{122.167}{sin(65)}[/tex]

BC ≈ 134.796

Other Questions
please hurry ! The Silk Road was abandoned after Vaco de Gama's maritime travels around the world. In what way would de Gama's findings affect the Ottoman Empire? a) Silk would no longer be a viable product to sell within the Ottoman Empire. b) The findings of de Gama would bring new imports to the Ottoman Empire. c) de Gamma's voyage would create another route to India, China, and Asia. d)Vasco de Gamma's findings would have no effect on the Ottoman Empire. Hope is the coach of the Wilson High School girls' soccer team. There are 3 minutes left in the game they are currently playing, and they are losing by 1 goal. In the past, when losing by 1 goal, Hope has pulled a defender out of the game and replaced her with a forward a total of 9 times. When in the same position, she has left the defender in the game 10 times. In the situations when Hope has pulled her defender, the team has lost 4 times, tied 2 times, and won 3 times. In situations when she has left her defender in the game, the team has lost 1 time, tied 3 times, and won 6 times. Based on the information above, if the goal is to either tie or win the game, should Hope pull the defender or leave her in the game? Which word best describes the central government that was created under the Articles of Confederation? A use case description is the best place to start for the design of the forms for a user interface. True False A teacher has provided his students with effective instructional delivery for a reading lesson in cause and effect. How can he determine that his students are able to complete a task on the concept independently and apply what has been learned: Mark is solving the following systems Step 1: He multiplies equation (1) by 7 and adds it to equation (3). Step 2: He multiplies equation (3) by 2 and adds it to equation (2). Which statement explains Marks mistake? He added equation (3) instead of equation (2) in step 1. He did not multiply equation (3) by the same number as equation (1). He did not eliminate the same variables in steps 1 and 2. He added equation the equations in step instead of subtracting them. Line j is a straight line. Which equation represents the relationship between the measures of Angle w and Angle z? A) Measure of angle w = measure of angle z b) Measure of angle w + measure of angle z = 90 degrees c) Measure of angle w + measure of angle z = 100 degrees d) Measure of angle w + measure of angle z = 180 degrees Herb has $20,000 in an interest-bearing time deposit with the Applebottom Bank and Trust Company. While earning a relatively attractive rate of interest, Herb had to agree to not withdraw any of the funds until the end of a three-year period. Herb's investment represents a(n): A: Our friend is staying with us this week, and we would like to take him to dinner. Do you know if Martinelli's serves anything vegetarian? B: They're a well-known restaurant in this area, so they _____ have a website. Why don't you check their menu online? Question 76 options: a) could be b) can't c) ought to d) must factor the equation using zero product property. x2+7x=-6 find the value of x in the triangle shown below Which values for h and k are used to write the function f of x = x squared + 12 x + 6 in vertex form?h=6, k=36h=6, k=36h=6, k=30h=6, k=30 A group conducted a poll of 2022likely voters just prior to an election. The results of the survey indicated that candidate A would receive 49% of the popular vote and candidate B would receive 46% of the popular vote. The margin of error was reported to be 5%. The group reported that the race was too close to call. Use the concept of a confidence interval to explain what this means. The city of Oak Ridge is considering the construction of a four kilometer (km) greenway walking trail. It will cost $1 comma 000 per km to build the trail and $340 per km per year to maintain it over its 22-year life. If the city's MARR is 11% per year, what is the equivalent uniform annual cost of this project? Assume the trail has no residual value at the end of 22 years. Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, one chip has the number 3, and the other chip has the number 5. Miguel must choose two chips, and if both chips have the same number, he wins $2. If the two chips he chooses have different numbers, he loses $1 ($1). Let X = the amount of money Miguel will receive or owe. Fill out the missing values in the table. (Hint: The total possible outcomes are six because there are four chips and you are choosing two of them.) Egg membranes from three eggs were carefully taken out and labeled as a, b , c. Each of these membranes were filled with 1% solution of sugar. Membrane A was immersed in 0.5% sugar solution, Membrane B was immersed in 1% sugar solution and Membrane c was immersed in 2% sugar solution. Predict the behavior of the three membranes? Suppose that a wing component on an aircraft is fabricated from an aluminum alloy that has a plane-strain fracture toughness of 26.0 MPa m0.5. It has been determined that fracture results at a stress of 112 MPa when the maximum internal crack length is 8.6 mm. For this same component and alloy, compute the stress level at which fracture will occur for a critical internal crack length of 3.0 mm. The graph of f(x) = 2x3 19x2 + 57x 54 is shown below.On a coordinate plane, a graph of a function is in quadrants 1 and 4. The function goes through the x-axis at (2, 0), (3, ), and (4.5, 0).How many roots of f(x) are rational numbers?0123Mark this and return if x= y^2/y^3 +1, what is the value of y in terms of x? Look at these two events. 2002 - Congress passes the McCain-Feingold Act. This law includes limits on the use of "issue ads by interestgroups during a campaign. 2007 - The Supreme Court declares that limiting the use of issue ads during a campaign is unconstitutional.Which of these arguments would a supporter of the Supreme Court's 2007 decision make?bOOOOThe McCain-Feingold Act violates freedom of speech.The Supreme Court has judicial authority over the President.Election advertising is regulated by the Electoral College.A lobbyist's rights are protected by the 14th Amendment.d