There is a linear relationship between the number of roses blooming in the garden and the number of days that pass. After 4 days, there are 22 rose blooms left, and after 8 days, there are 10 rose blooms left.

Which of the following graphs represents the relationship?

There Is A Linear Relationship Between The Number Of Roses Blooming In The Garden And The Number Of Days
There Is A Linear Relationship Between The Number Of Roses Blooming In The Garden And The Number Of Days
There Is A Linear Relationship Between The Number Of Roses Blooming In The Garden And The Number Of Days
There Is A Linear Relationship Between The Number Of Roses Blooming In The Garden And The Number Of Days

Answers

Answer 1

Answer:

The first graph is correct.

Step-by-step explanation:

After 4 days, there are 22 rose blooms left -------(4, 22)

and after 8 days, there are 10 rose blooms left -----(8 , 10)

Equation of straight line:

y =ax +b

input (4, 22) and (8, 10)

22 = 4a + b  ----(1)

10 = 8a +b  ------(2)

solve to find a , b

(2) - (1)

-12 = 4a, a= -3

find b, b = 34

Equation is : y= -3x + 34

When you set x = 0, y is 34.

The first graph is correct.


Related Questions

A fair 6-sided die is rolled 550 times. What is a reasonable prediction for the number of times the event of landing on an even number will occur?

A: 92
B: 150
C: 275
D: 325

Thanks!

Answers

Answer:

b beach you know

Step-by-step explanation:

I took the test

Answer
(c)

Explanation
If it is rolled 550 times and there are six sides there are 3 even numbers if you have ever seen a die it there is a 123456 but there are 3 even numbers 2:4:6 so you would take half of 550 which would be (c) 275



Hope this helps :)

Brainlist pls

There are approximately 7.48 liquid gallons in a cubic foot. If a cylindrical water tank holds 1,300 liquid gallons and has a radius of 2.6 feet, what is the approximate height of the water tank? Approximate using π = 3.14 and round to the nearest tenth.

2.0 feet
8.2 feet
61.2 feet
114.5 feet

Answers

The height of the water tank is 8.2ft

What is volume of a cylinder?

A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance. These bases are normally circular in shape (like a circle) and the center of the two bases are joined by a line segment, which is called the axis.

The volume of a cylinder = πr²h

there are 7.48 liquid gallons in a cubic foot.

therefore in 1100 liquid gallons there will be 1300/7.48 = 173.7 ft³

147.1 = 3.14 × 2.6² ×h

147.1 = 21.2h

h = 173.7/21.2

h = 8.2ft(nearest tenth)

therefore the height of the tank is 8.2ft

Your welcome!

In a pile of playing cards, there are six hearts, twelve clubs, and six diamonds. What is the probability that you will draw a heart?
1/2
1/6
1/4
1/3

Answers

Answer:

Step-by-step explanation:

1/4 because all equal 24 together

and so

12 is half so pulling a club would be 1/2

6 is a fourth so pulling a diamond or heart would be 1/4

because 6x2=12 so pulling a diamond or heart would be 50 - 50 from pulling a heart/diamond or a club

6=cards

2=diamonds and hearts

The probability of drawing a heart from the pile of 52 cards is 0.25.

The ratio of the number of favorable outcomes to the total number of outcomes of an event is defined as probability.

We know, the probability of an event = Number of favorable outcomes/Total number of outcomes.

As it is given that there are 6 hearts, 12 clubs, and 6 diamonds in a pile of playing cards.

Therefore, the total number of outcomes = 6+12+6= 24

and number of favorable outcomes = 6

Now, the probability of an event = 6/24

= 1/4

= 0.25

Therefore, the probability of drawing a heart is 0.25.

To learn more about the probability, visit:

brainly.com/question/11234923.

help me :DDDD thank u if u did

Answers

Answer:

20 in³

Step-by-step explanation:

To find the volume of a rectangular prism, you simply multiply the length x width x height of the prism.

volume = width x length x height

volume = 2 in x 10 in x 1 in

volume = 20 in³

Question 12(Multiple Choice Worth 2 points)
(Three-Column Tables MC)

The relationship between the number of pies-to-cakes chosen by middle school students as their favorite dessert is shown in the table.


Pie 36 42 60
Cake D 7 C
Total 42 A B


What is the value of C in the table?
6
10
49
70

Answers

Answer:

The value of C in the table is 0. Total number of cake lovers = Total - (number of students who chose pie) = 138 - (36 + 42 + 60) = 138 - 138 = 0

Step-by-step explanation:

The value of C in the given table is 10. Therefore, option B is the correct answer.

What is proportionality?

The property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

From the given table,

42/7 = 60/C (Using proportionality)

6=60/C

C=10

Therefore, option B is the correct answer.

Learn more about proportionalities visit:

brainly.com/question/3254974

#SPJ2

This pattern can be represented by the explicit function f(x) = 3x^2
True or False?
Explain.

Answers

Answer:

False

Step-by-step explanation:

3 X 1 = 3 and 2 X 3 = 6 But 3 x 3 is not 11 and 4 X 3 is not 18

True
I took the test

ANSWER BOTH PLS 20 POINT <3

Answers

Answer:d is the correct answer

Answer: D and 10 am.

Step-by-step explanation:

Find the 24th term.
-9, 0, 9, 18, 27, ...
24th term = [? ]

Answers

Answer:

198

Step-by-step explanation:

Answer: 198

Step-by-step explanation:

Firstly, you must find the nth term.

the sequence is: -9, 0, 9, 18, 27, ...

find the difference between each term. in this sequence, the difference is 9, so it is 9n

then you must find the difference between the sequence 9n and this sequence. 9n is:

9, 18, 27, 36, 45, ...

now find the difference between 9n and our sequence.

adjustment = -18

so the nth term is 9n - 18

now you need to substitute 24, as that is the term you would like to find out, in place of n.

so, our n term looks like this: 9(24)-18

9 x 24 = 216

216 - 18 = 198

hence, the answer is 198.

hope this helps.

Pls help asap!!! WILL GIVE BRAINLIEST!!!
Julio made curtains from a roll of material that was 76.5 yards long. He made 18 identical curtains and had 10.8 yards of material left over. What was the length in yards of the material Julio used per curtain?

Answers

Answer:

3.65

Step-by-step explanation:

First do 76.5-10.8=65.7

Then do 65.7/18= 3.65

answer:

3.65 yards per curtain

step by step:

76.5-10.8= 65.7

65.7 / 18 = 3.65

if 7 is the tenths place of 637.739 what digit is 10 times the value of the underlined digit (7)

Answers

Answer: 7 since it is in the tenths place it is 0.7 and that times 10 is 7

Step-by-step explanation:

Answer: 7 I just took test and got it right

PLEAS HELP ASAPPP!! WILL MARK BRAINLIEST
Determine the length of sides AB and BC in triangle ABC.

Answers

Answer is AB= 9.68, BC = 7.04

Explanation

Since triangle ABC is similar to DEF
We know AC to DF is the ratio we can use to find unknown sides

6.71 /6.1 = 1.1 ratio or dilation from pre image DEF to image ABC

AB is our unknown
8.8 is our pre image x 1.1 dilation = 9.68

BC is our unknown
6.4 is our pre image x 1.1 dilation = 7.04





help me thank you :D

Answers

Answer:3

Step-by-step explanation:as u know area is multiplication so u multiply 3/5 by 5 or 5/1 And get 3 (Here like this)

What is the volume of this object? Enter answer as a mixed number.

u3

Answers

Answer:

31 1/4 OR 31.25

Step-by-step explanation:

2 1/2 X 2 1/2 X 5 = 31 1/4

L X W X H

Answer:

6 1/4

Step-by-step explanation:

I think this answer it's 6 1/4 I'm not sure.

If it is correct please give me Brainliest.

Find volume of these figures. Best answer will receive brainliest. 100 points. ASAP

Answers

Answer:

Question 4 — 132 yard³

Question 5 — 190 inch³

Question 6 — 744 foot³

Question 7 — 972 foot³

Question 8 — 90 yard³

Question 9 — 1118 inch³

Step-by-step explanation (Question 4):

The shape of the object is in ‘L’ shape. So, the object can be divided into two rectangles. A vertical and a horizontal Cuboid (Rectangular Prism).

Length of the Vertical Cuboid = 16 yards

Width of the Vertical Cuboid = 3 yards

Height of the Vertical Cuboid = 2 yards

Area of the Vertical Cuboid = Length * Breadth * Height

                                                = 16 * 3 * 2

                                                = 96 yard³

Length of the Horizontal Cuboid = ( 8 - 2 ) = 6 yards

Width of the Horizontal Cuboid = 3 yards

Height of the Horizontal Cuboid = 2 yards

Area of the Horizontal Cuboid = Length * Breadth * Height

                                                     = 6 * 3 * 2

                                                     = 36 yard³

As per the above information we can figure out that the total area of the figure is —

Area of the Horizontal Cuboid + Area of the Vertical Cuboid

36 + 96 = 132 yard³


Step-by-step explanation (Question 5):

The shape of the object is in ‘L’ shape. So, the object can be divided into two rectangles. A vertical and a horizontal Cuboid (Rectangular Prism).

Length of the Vertical Cuboid = 11 inches

Width of the Vertical Cuboid = 5 inches

Height of the Vertical Cuboid = 2 inches

Area of the Vertical Cuboid = Length * Breadth * Height

                                                = 11 * 5 * 2

                                                = 110 inch³

Length of the Horizontal Cuboid = ( 15 - 5 ) = 10 inches

Width of the Horizontal Cuboid = 2 inches

Height of the Horizontal Cuboid = 4 inches

Area of the Horizontal Cuboid = Length * Breadth * Height

                                                     = 10 * 2 * 4

                                                     = 80 inch³

As per the above information we can figure out that the total area of the figure is —

Area of the Horizontal Cuboid + Area of the Vertical Cuboid

80 + 110 = 190 inch³


Step-by-step explanation (Question 6):

The shape of the object is in ‘L’ shape. So, the object can be divided into two rectangles. A vertical and a horizontal Cuboid (Rectangular Prism).

Length of the Vertical Cuboid = 12 foot

Width of the Vertical Cuboid = 3 foot

Height of the Vertical Cuboid =  ( 5 + 4 ) = 9 foot

Area of the Vertical Cuboid = Length * Breadth * Height

                                                = 12 * 3 * 9

                                                = 324 foot³

Length of the Horizontal Cuboid = 12 foot

Width of the Horizontal Cuboid = ( 10 - 3 ) = 7 foot

Height of the Horizontal Cuboid = 5 foot

Area of the Horizontal Cuboid = Length * Breadth * Height

                                                     = 12 * 7 * 5

                                                     = 420 foot³

As per the above information we can figure out that the total area of the figure is —

Area of the Horizontal Cuboid + Area of the Vertical Cuboid

420 + 324 = 744 foot³


Step-by-step explanation (Question 7):

The shape of the object is in ‘L’ shape. So, the object can be divided into two rectangles. A vertical and a horizontal Cuboid (Rectangular Prism).

Length of the Vertical Cuboid = 18 foot

Width of the Vertical Cuboid = 2 foot

Height of the Vertical Cuboid = 12 foot

Area of the Vertical Cuboid = Length * Breadth * Height

                                                = 18 * 2 * 12

                                                = 432 foot³

Length of the Horizontal Cuboid = 18 foot

Width of the Horizontal Cuboid = 5 foot

Height of the Horizontal Cuboid = 6 foot

Area of the Horizontal Cuboid = Length * Breadth * Height

                                                     = 18 * 5 * 6

                                                     = 540 foot³

As per the above information we can figure out that the total area of the figure is —

Area of the Horizontal Cuboid + Area of the Vertical Cuboid

540 + 432 = 972 foot³


Step-by-step explanation (Question 8):

The shape of the object is in ‘L’ shape. So, the object can be divided into two rectangles. A vertical and a horizontal Cuboid (Rectangular Prism).

Length of the Vertical Cuboid = 3 yards

Width of the Vertical Cuboid = ( 8 - 6 ) = 2 yards

Height of the Vertical Cuboid = 5 yards

Area of the Vertical Cuboid = Length * Breadth * Height

                                                = 3 * 2 * 5

                                                = 30 yard³

Length of the Horizontal Cuboid = 6 yards

Width of the Horizontal Cuboid = 2 yards

Height of the Horizontal Cuboid = 5 yards

Area of the Horizontal Cuboid = Length * Breadth * Height

                                                     = 6 * 2 * 5

                                                     = 60 yard³

As per the above information we can figure out that the total area of the figure is —

Area of the Horizontal Cuboid + Area of the Vertical Cuboid

60 + 30 = 90 yard³


Step-by-step explanation (Question 9):

The shape of the object is in ‘L’ shape. So, the object can be divided into two rectangles. A vertical and a horizontal Cuboid (Rectangular Prism).

Length of the Vertical Cuboid = 13 inches

Width of the Vertical Cuboid = 4 inches

Height of the Vertical Cuboid = 11 inches

Area of the Vertical Cuboid = Length * Breadth * Height

                                                = 13 * 4 * 11

                                                = 572 inch³

Length of the Horizontal Cuboid = 13 inches

Width of the Horizontal Cuboid = 6 inches

Height of the Horizontal Cuboid = 7 inches

Area of the Horizontal Cuboid = Length * Breadth * Height

                                                     = 13 * 6 * 7

                                                     = 546 inch³

As per the above information we can figure out that the total area of the figure is —

Area of the Horizontal Cuboid + Area of the Vertical Cuboid

546 + 572 = 1118 inch³



Hope my answer helps you.

:)

Please mark my answer as the BRAINLIEST. Plssssssssssssssssssss

What is the number of possible outcomes if two quarters are tossed at the same time and the numbers of heads and tails are counted?
Responses
A 2
B 6
C 3
D 4

Answers

Answer: 4

Step-by-step explanation:

c1: c2:

H - H

T - T

T - H

H - T

The answer is D. 4 each quarter has 2 sides and there are 2 quarters so you multiply it 2•2=4

Example: you role two dice how many outcomes are there?

There are two dice with six sides so you would multiply 6•6 to get 36

A scatter plot is shown.
Which of these statements are true for the scatter plot? Select all that apply.

The scatter plot shows a negative association
The scatter plot shows a nonlinear association
The scatter plot shows two clusters of a data
The scatter plot shows a positive association
The scatter plot shows an outlinear

Answers

Answer: The scatter plot shows a nonlinear association

The scatter plot shows a negative association

Step-by-step explanation:

The scatter plot shows a non-linear association

The length of a rectangle swimming pool is 3 1/4 yards. If the area is 9 3/4 square yards, what is the width of the swimming pool?
A- 3 yards
B- 31 11/16 yards
C- 6 1/2 yards
D- 2 3/4 yards

Answers

Answer:

Let's start by using the formula for the area of a rectangle:

area = length x width

We know that the length is 3 1/4 yards and the area is 9 3/4 square yards, so we can substitute those values in and solve for the width:

9 3/4 = (13/4) x width

To isolate the variable, we can multiply both sides by the reciprocal of 13/4, which is 4/13:

(9 3/4) x (4/13) = (13/4) x (4/13) x width

3 = width

Therefore, the width of the swimming pool is 3 yards, which is option A.

Option A, 3 Yards. How do I know? I took the test.

The following system of linear equations is shown in the graph.

y equals one fourth times x minus 1
x − 4y = 4

How many solutions does the system of linear equations have?

No solution
Infinitely many solutions
One solution at (4, 0)
One solution at (0, −1)

Answers

Answer:

Step-by-step explanation:

its B. trust me fr fr

Where would -4,9 be on a coordinate grid
A-1st
B-2nd
C-3rd
D-4th

Answers

To determine the location of the point (-4,9) on a coordinate grid, we need to use the x-coordinate and y-coordinate values of the point.

The x-coordinate represents the horizontal position of the point, while the y-coordinate represents the vertical position of the point.

In this case, the x-coordinate is -4, which means the point is 4 units to the left of the origin. The y-coordinate is 9, which means the point is 9 units up from the origin.

Therefore, the point (-4,9) is located in the 2nd quadrant of the coordinate grid, since it is to the left of the origin (in the negative x-direction) and above the origin (in the positive y-direction).

So, the correct answer is B-2nd.

PLS HELP ASAP!!! WILL GIVE BRAINLIEST
The original selling price of an antique clock was c, dollars.
The selling price at a later date was represented by the expression 1.2(0.85c).
Which description could explain what happened to the price of the antique clock?

(A) The price decreased by 20% and then increased by 85%
(B) The price decreased by 80% and then increased by 15%
(C) The price decreased by 15% and then increased by 20%
(D) The price decreased by 15% and then increased by 85%

Answers

Answer:

(C) The price decreased by 15% and then increased by 20%

Step-by-step explanation:

0.85c = c - 0.15c  

This means that c was decreased by 0.15c which is equal to 15%.

Being multiplied by 1.2 makes the number increase. think about 1.2 as 120%. In other words, being increased by 20%.

The price was decreased by 15% first and then increased by 20%

C

I need help with this it too hard and I'm also trying to get caught up thankssss

Answers

Answer:

the picture is to blurry to interpret

Jerome photographed an aquarium that measured 12 inches by 18 inches by 24 inches. Lim photographed an aquarium that was 12 inches by 30 inches by 12 inches. Both aquariums are rectangular prisms. How much more volume does Jerome’s aquarium have than Lim’s?
(Answer quick please, 11:30pm-12:30pm)

Answers

Answer:

the answer is 864 in3

Step-by-step explanation:

The volume of Jerome's aquarium is:

12 x 18 x 24 = 5,184 cubic inches

The volume of Lim's aquarium is:

12 x 30 x 12 = 4,320 cubic inches

To find how much more volume Jerome's aquarium has than Lim's, we can subtract the volume of Lim's aquarium from the volume of Jerome's aquarium:

5,184 - 4,320 = 864 cubic inches

Therefore, Jerome's aquarium has 864 cubic inches more volume than Lim's aquarium.

When given a set of cards laying face down that spell F, R, A, C, T, I, O, N, determine the probability of randomly drawing a vowel.

three sevenths
five sevenths
three eighths
five eighths
PLEASE HELP ASAP!!!!!

Answers

Answer:

3/8

Step-by-step explanation:

3/8 are vowels                                      

There are eight letters in the word “fraction” and three of those letters are vowels. Therefore, your answer will be three eighths.

Romi and her friends ran in a terrain race. Their distance, in miles, from the starting line over time, in minutes, is shown on the graph.




Which of the following descriptions could represent the graph?


From the starting line, Romi ran 4 miles in 40 minutes, rested for 20 minutes, jogged back 2 miles toward the starting line in 40 minutes, rested for 20 minutes, and walked the last 2 miles back to the starting line.


From the starting line, Romi ran 4 miles in 40 minutes, rested for 40 minutes, jogged back 1 mile toward the starting line in 20 minutes, rested for 20 minutes, and jogged the last 3 miles back to the starting line.


From the starting line, Romi ran 2 miles in 20 minutes, rested for 20 minutes, jogged 2 more miles away from the starting line in 40 minutes, rested for 40 minutes, and jogged the last 4 miles back to the starting line.


From the starting line, Romi ran 2 miles in 20 minutes, rested for 40 minutes, jogged 1 more mile away from the starting line in 40 minutes, rested for 20 minutes, and jogged the last 4 miles back to the starting line.

Answers

Answer:

option c is the correct answer

please help me I'm behind and hopefully y'all can read it this time

Answers

Answer:

Step-by-step explanation:

1- 45m(squared)
2- 4.5 m(squared)
3- 314.16 (this is rounded to the neared hundreds

Which of the following quotients are true? Select all that apply.


A. 1/2 ÷ 2 = 4


B. 1/3 ÷ 4 = 4/3


C. 1/2 ÷ 6 = 1/12


D. 1/5 ÷ 2 = 10


E. 1/8 ÷ 3 = 1/24

Answers

Answer:

Step-by-step explanation:

A. 1/2 ÷ 2 = 4

1/2 ÷ 2/1 = 1/2 × 1/2 = 1/4 not 4

B. 1/3 ÷ 4 = 4/3

1/3 ÷ 4/1 = 1/3 ×1/4 = 1/12 not 4/3

C. 1/2 ÷ 6 = 1 1/2

1/2 ÷ 6/1 = 1/2 × 1/6 = 1/12

D. 1/5 ÷ 2 = 10

1/5 ÷ 2/1 = 1/5 × 1/2 = 1/10

E. 1/8 ÷ 3 = 1 1/4

1/8 ÷ 3/1 = 1/8 × 1/3 = 1/24

Answer:

The correct quotients among the given options are:

B. 1/3 ÷ 4 = 4/3

C. 1/2 ÷ 6 = 1/12

E. 1/8 ÷ 3 = 1/24

Preimage polygon VWYZ and image polygon V′W′Y′Z′ are shown on a coordinate plane.



What transformation takes polygon VWYZ to polygon V′W′Y′Z′?

Vertical translation
90° clockwise rotation
Reflection across the y-axis
Reflection across the x-axis

Answers

Answer: reflection across the x-axis

Step-by-step explanation: It would either be a reflection or a translation, but because of the locations of the image compared to the pre-image it has to be a reflection. For example, Y and Y' are equidistant from the x-axis. If this was a translation the whole image would have "slid" down and Y' would be where Z' is.

Answer: THe answer is verticle translation and NOT a reflection over an axis because the letters on the corner of the box would be opposite not equal.

Step-by-step explanation: i did the test

A group of students was surveyed in a middle school class. They were asked how many hours they work on math homework each week. The results from the survey were recorded.


Number of Hours Total Number of Students
0 1
1 3
2 2
3 10
4 9
5 7
6 3


Determine the probability that a student studied for exactly 4 hours. Round to the nearest hundredth.
0.74
0.35
0.26
0.11
PLEASE HELP ASAP!!!!!

Answers

To determine the probability that a student studied for exactly 4 hours, we need to divide the number of students who studied for 4 hours by the total number of students surveyed.

From the given data, we can see that the total number of students surveyed is:

1 + 3 + 2 + 10 + 9 + 7 + 3 = 35

And the number of students who studied for 4 hours is:

9

Therefore, the probability that a student studied for exactly 4 hours is:

9/35 = 0.26 (rounded to the nearest hundredth)

So the correct answer is 0.26.

PLS HELP ASAP! WILL GIVE BRAINLIEST!!!
A tree measured 8 3/4 feet in height. Over the next 6 3/8 years, the tree grew to a height of 51 1/4 feet.
During the 6 3/8 years, what was the average yearly growth rate of the tree?

(A) 6 2/3 feet per year
(B) 42 1/2 feet per year
(C) 5 1/4 feet per year
(D) 6 1/4 feet per year

Answers

Answer:

i think the answer is C im only writing it like this bc it wont just let me put C lol

When Emily went to work, it was 83.8 degrees outside. When she was done working, it was 67.9 degrees outside. What was the change in temperature?

Answers

Answer:

The difference in temperature is 15.9 degrees.

Step-by-step explanation:

83.8 - 67.9 = 15.9

Answer: 83.8

             -67.9 = 15.9

Other Questions
The future earnings, dividends, and common stock price of Callahan Technologies Inc. are expected to grow 5% per year. Callahan's common stock currently sells for $25.75 per share; its last dividend was $2.40; and it will pay a $2.52 dividend at the end of the current year. a. Using the DCF approach, what is its cost of common equity? Round your answer to two decimal places. Do not round your intermediate calculations. b. If the firm's beta is 1.40, the risk-free rate is 6%, and the average return on the market is 14%, what will be the firm's cost of common equity using the CAPM approach? Round your answer to two decimal places. c. If the firm's bonds earn a return of 9%, based on the bond-yield-plus-risk-premium approach, what will be rs? Use the midpoint of the risk premium range discussed in Section 10-5 in your calculations. Round your answer to two decimal places. d. If you have equal confidence in the inputs used for the three approaches, what is your estimate of Callahan's cost of common equity? Round your answer to two decimal places. Do not round your intermediate calculations. If interest rates in the U.S. and euro are 4% and 6% respectively and the spot rate for Euro ($/) is $1.1550, what is the 90-day equilibrium forward rate for ?Calculate the percentage forward premium/discount. A small juice company spends $1200 per day on business expenses plus $1. 10 per bottle of juice them make. They charge $2. 50 for each bottle of juice they produce. How many bottles of juice must the company sell in a day for the company to break-even? what is the difference between simple interest and compound interest why do you end up with more money with compound interest In the German Pradikat category system, normal harvest wines, usually "dry", are known as: a. Kabinett b. Spatlese c. Auslese d. Beernauslese Mrs. Hanson is filling containers in her bakery with flour. How much flour will fit into two of the containers? based on the information in the above table, the price of a is $3, the price of b is $2, and the price of c is $5. if mary has $22 to spend, what combination of products a, b, and c should she buy in order to maximize her satisfaction? pls help me w this its due tomorrow an analysis of future events performed by the probability of those events and the potential outcomes is called Question 1 of 20:Select the best answer for the question.1. What's an example of being proactive in your workouts?A. Wearing appropriate running shoes for your environmentO B. Choosing to use the next available cardio machineO C. Going on a run without planning your path ahead of timeO D. Working out twice as long as expected since you're not fatiguedO Mark for review (Will be highlighted on the review page) 5. government intervention during banking failures which of the following occurred during the credit crisis? check all that apply. the federal reserve tried but failed to bail out american international group. the federal reserve rescued bear stearns by coordinating their acquisition by jpmorgan chase. the federal reserve and treasury had a laissez faire approach to the credit crisis. the supreme court ruled that the federal reserve had exceeded its authority by assisting bear stearns because the financial institution was a securities firm and not a commercial bank. What is the solution to 9/x+81 > 45? (T/F) A key element in a research experiment is random assignment of participants to groups. Two electric motors (A and B) are being considered to drive a centrifugal pump. Each motor is capable of delivering 50 horsepower (output) to the pumping operation. It is expected that the motors will be in use 1,000 hours per year. If electricity costs $0.07 per kilowatt-hour and 1 hp = 0.746 kW, which motor should be selected if MARR = 8% per year? Refer to the data below.Motor A Motor BInitial cost $1,200 $1,000Electrical efficiency 0.82 0.77Annual maintenance $60 $100Life 5 years 5 years the fossil known as lucy is particularly remarkable because: a shift in cultural values away from accumulating material possessions to spending time with family and friends benefit those who market: A 25 kg child plays on a swing having support ropes that are 2.20 m long. A friend pulls her back until the ropes are from the vertical and releases her from rest. (a) What is the potential energy for the child just as she is released compared with the potential energy at the bottom of the swing? (b) How fast will she be moving at the bottom of the swing? (c) How much work does the tension in the ropes do as the child swings from the initial position to the bottom? economists have estimated an income elasticity for sourdough bread (from the farmer's market) to be -1.2. therefore, an increase in income in an area will cause the price of this good to , the quantity to , and overall spending on this good to . group of answer choices increase, decrease, uncertain. increase, increase, increase. decrease, increase, uncertain. decrease, decrease, decrease. f(x) = x2 + 4; interval [0, 5]; n = 5; use left endpoints bmw car manufacturer has decided to make a significant investment into expanding its presence in the usa by setting up a large assembly facility in ohio. it has estimated its initial set up costs to be $250,000,000. forecast net income from the project is detailed as follows: year 1 $25,000,000 year 2 $60,000,000 year 3 $65,000,000 year 4 $72,000,000 year 5 $81,000,000 a) calculate the projected payback time for the project to the nearest month. b) calculate the net present value of the project using a discount factor of 5%. comment on the attractiveness of the project.