For the function represented in the graph, determine the domain or range, as requested.

For The Function Represented In The Graph, Determine The Domain Or Range, As Requested.

Answers

Answer 1

Answer:

Given that,

To find the the domain or range of the given function represented in the graph.

Explanation:

we know that,

The domain is the set of all the input values of a function and range is the possible output given by the function.

A domain of a function refers to "all the values" that go into a function. The domain of a function is the set of all possible inputs for the function. ( that is all possible x values)

From the graph, the possible x values are,

\([-2,4]\)

The domain of the function is,

\([-2,4]\)

The range of a function is the set of all its outputs. (that is all possible y values).

From the graph, all possible y values are,

\([-4,2]\)

The range of the function is,

\([-4,2]\)

Answer is:

The domain of the function is,

\([-2,4]\)

The range of the function is,

\([-4,2]\)


Related Questions

The average monthly cost of basic cable TV was $9.73 in 1985 and has increased by about $1.35 each year since then. Let t be the number of years since 1985.
1. Use function notation to write an equation giving the monthly cost of basic cable TV as a function of t.
f(t)=____t+____
2. Using the function from above what is the average monthly cost of basic cable TV for this year?
3. Using the function from 1, what year was the average monthly cost of basic cable TV $23.23?​

Answers

Answer:

$50.23

Step-by-step explanation:

f(t)=1.35(t)+9.73

First I found out how many years are after 1985 so you would do 2020-1985 which equals 30.

I plug it in for t.

f(t)=1.35(30)+9.73

Then you multiply 1.35 and 30 which would leave us with.

f(t)=40.5+9.73

Add them and you get $50.23

Geraint has 2p and 50p coins in the ratio 20 : 3

Write the ratio of the value of the 2p coins to the value of 50p coins in its
simplest form.

Answers

the answer is 1p:25p :)

Help please guys I'm not sure of the answer for all of these
Needed asap im working on it now pls fast
Complete the tree diagram to show all of the possible flavour outcomes.

Select your answers.
They want you to pick the correct flavour to each number in the select option near the number
and the graph for it is on there so you work your answer from there

Help please guys I'm not sure of the answer for all of these Needed asap im working on it now pls fastComplete
Help please guys I'm not sure of the answer for all of these Needed asap im working on it now pls fastComplete

Answers

Answer:

oh i'm so sorry i do not know that

Step-by-step explanation:

Simplify the expression given below. x+2/4x^2+5x+1 *4x+1/4x^2-4

Answers

Answer:

5/12x

Step-by-step explanation:

x+2/4x^2+5x+1 *4x+1/4x^2-4

x+2/16x+5x+1*4x+1/16x-4

x+2/21x+1 (4x+1/16x-4)

-x .   -x .    

2/20x+1 (4x+1/16x-4)

-1 .      -1 .

20x(4x+1/16x-4)

(80x+20x/320x-80x)

100x/240x

5/12x

Please answer now! i will mark brainliest!

Please answer now! i will mark brainliest!

Answers

Answer:

I would round to 3, so the length of the sidewalk would be about 8 x 3 = 24 feet.

Step-by-step explanation:

\(2\frac{5}{6}\) is closer to 3 and if you convert it to decimal which will be 2.83 with a bar on top of 3, it's still close to 3.

Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36

Answers

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Mr. Lowe is setting up his room for art class. He has 6 boxes of crayons with 24 crayons each, 3 packages of pencils with 20 pencils each, and 9 packages of paint brushes with 15 brushes each. What is the difference between the total number of crayons and the total number of paint brushes?

Answers

so first we need to find the total number of crayons

to do that we're going to multiply 6 by 24 cause each box has 24 crayons

24 × 6 = 144

so the answer of total number of crayons is 144 crayons

next we're going to find the total number of paint brushes

to do that we're going to multiply 9 by 15 cause each package has 15 paint brushes

9 × 15 = 135

so the answer of total number of paint brushes is 135 crayons

finally we're going to calculate the difference

so its 144 crayons subtracted by 135 paint brushes

144 - 135 = 9

so the difference of total number of crayons and total number of paint brushes is 9

hope that helped :))

The difference between the crayons and the paintbrush the total. I just see which one is greater

ABCD is a non-isosceles trapezoid with AB || CD. PQRS is a quadrilateral formeby joining, in order, the midpoints of the sides of ABCD. Prove that PQRS is a parallelogram.

Answers

1. we will first draw a non isosceles trapezoid with ABIICD , then

PLEASE HELP IM SICK AND I DONT UNDERSTAND.DUE IN 30 MINS!!!!!!

PLEASE HELP IM SICK AND I DONT UNDERSTAND.DUE IN 30 MINS!!!!!!

Answers

The value of x is -12 and the pair of interior angles are: 130 and 50 degrees.

Given, a transversal is passed by the parallel lines.

Hence consecutive interior angles are formed.

Each pair of internal angles on the same side of a transversal are supplementary, or they add up to 180°, if the transversal meets two parallel lines.

therefore, x+142 + x + 62 = 180°

arrange the variables one side

2x + 142 + 62 = 180

add the constants.

2x + 204 = 180

2x = 180-204

2x = -24

x = -12

interior angle 1 = x+142

= -12+142

= 130°

interior angle 2 = x+62

= -12+62

= 50°

Hence the value of x is -12.

Learn more about Parallel lines here:

brainly.com/question/24607467

#SPJ1

How many tiles can fit in a rectangular floor with length 14 ft and width 6 ft if the the square tiles has an edge of 3/4 ft.

Answers

A rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.

To determine how many square tiles can fit in a rectangular floor, we need to calculate the total number of tiles that can fit both horizontally and vertically.

Given:

Length of the rectangular floor = 14 ft

Width of the rectangular floor = 6 ft

Edge length of square tile = 3/4 ft

First, let's calculate the number of tiles that can fit horizontally:

Length of the rectangular floor / Edge length of square tile = 14 ft / (3/4 ft) = 14 ft × (4/3 ft) = 56/3 ft

Since we want a whole number of tiles, we need to round down or take the floor value:

Number of tiles horizontally = floor(56/3) = 18 tiles

Next, let's calculate the number of tiles that can fit vertically:

Width of the rectangular floor / Edge length of square tile = 6 ft / (3/4 ft) = 6 ft × (4/3 ft) = 24/3 ft

Again, we round down or take the floor value:

Number of tiles vertically = floor(24/3) = 8 tiles

To find the total number of tiles, we multiply the number of tiles horizontally by the number of tiles vertically:

Total number of tiles = Number of tiles horizontally × Number of tiles vertically = 18 tiles × 8 tiles = 144 tiles

Therefore, in a rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.

for such more question on length

https://brainly.com/question/20339811

#SPJ8

Which function is best represented by the graph?

Which function is best represented by the graph?

Answers

Answer:This would be option letter C

Step-by-step explanation:The diagram is a gram of external geofram so the position Is fFX(4) ^N

Answer:

D

Step-by-step explanation:

f(x)= -x^2+4

Draw graph of -x^2 and shift it 4 units above

Graph one cycle of the curve represented by the equation y = –2 sin(1/2x) +1.

Answers

Answer:

those should be the answers which you are looking for

Step-by-step explanation:

Graph one cycle of the curve represented by the equation y = 2 sin(1/2x) +1.
Graph one cycle of the curve represented by the equation y = 2 sin(1/2x) +1.

Aaliyah is drawing a ball from one bag and a tile from another bag. The first bag contains 4 green balls and 4 yellow balls. The second bag
contains tiles numbered 1 through 5.
What is the probability that she draws a green ball and a tile numbered with 4?

Answers

Step-by-step explanation:

P(green AND 4)

= P(green) × P(4)

= (4/8) × (1/5)

= 1/10

Using probabilities of independent events, it is found that there is a 0.1 = 10% probability that she draws a green ball and a tile numbered with 4.

-------------------

A probability is the number of desired outcomes divided by the number of total outcomes.If two events, A and B, are independent, the probability of both happening together is the multiplication of the probabilities of each happening.

-------------------

Event A: Green ball, 4 out of the 8 balls are green, thus, \(P(A) = \frac{4}{8} = 0.5\)Event B: Tile numbered with 4, which is one of the five, thus, \(P(B) = \frac{1}{5} = 0.2\)

The probability of both events is given by:

\(P(A \cap B) = P(A) \times P(B) = 0.5(0.2) = 0.1\)

0.1 = 10% probability that she draws a green ball and a tile numbered with 4.

A similar problem is given at https://brainly.com/question/24174994

Refer to image for my question

Refer to image for my question

Answers

Answer:I think it Is the second

Step-by-step explanation:

Professor Melendez has 10 students in her college algebra class. Their ages are shown below.

19, 27, 19, 18, 18, 18, 47, 19, 20, 18

The mean age of the students in the class is 22.3. The median age of the students is 19.

There are two outliers in the data from Professor Melendez’s class: 27 and 47.

When the outliers are removed, what is the mean age of the remaining students? Round your answer to the nearest tenth
What is the median age of the remaining students?

Answers

The answer is 18.5 is the new median.

Answer:

Mean: 18.6 years old

Median: 18.5 years old

Step-by-step explanation:

Mean = average (add all numbers then divide by the number of numbers in the data set)

To find the mean, start by adding all of the numbers except for the outliers.

19 + 19 + 19 + 18 + 18 + 18 + 18 + 20 = 149

We added 8 numbers, so divide the sum by 8.

149/8 = 18.6

Therefore, the mean without outliers is 18.6 years old.

Median = middle (order numbers from least to greatest, then find the middle)

To find the median, order the numbers from least to greatest.

18, 18, 18, 18, 19, 19, 19, 20

Now, find the middle.

(Since there are an even number of numbers, select the two numbers in the middle.)

18, 18, 18, 18, 19, 19, 19, 20

Now, add these numbers and divide by 2.

18 + 19 = 37

37/2 = 18.5

Therefore, the median without outliers is 18.5 years old.

A​ 12-sided die is rolled. The set of equally likely outcomes is​ {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number greater than 20

Answers

Answer:

1 in 6, i think

Step-by-step explanation:

Answer:

0%

Step-by-step explanation:

There is no answer higher then 12 it's impossible to roll a 20

PLEAS ANSWER ASAP I WILL GIVE BRIAINLYIST

The coordinates of the vertices of a polygon are (-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1).

What is the perimeter of the polygon to the nearest tenth of a unit?

A.16.0 units

B.17.2 units

C.15.4 units

D.18.8 units

PLEAS ANSWER ASAP I WILL GIVE BRIAINLYISTThe coordinates of the vertices of a polygon are (-3, 1), (-3,

Answers

The perimeter of the polygon, with the specified coordinate points , found using Pythagorean Theorem  iis  approximately 16 units

What is the Pythagorean Theorem?

The Pythagorean Theorem indicates that the square of the distance between points on the coordinate plans is the sum of the square of the horizontal and vertical distances between the  point.

The coordinates of the vertices of the polygon are;

(-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1)

The length of the sides are therefore;

3 - 1 = 2,

√((-1 - (-3))² + (5 - 3)²) = 2·√2

√((2 - (-1))² + (4 - 5)²) = √(10)

4 - 1 = 3

2 - (-3) = 5

The perimeter is therefore;

2 + 2·√2 +  √(10) + 3 + 5  ≈ 16

The perimeter of the polygon is approximately 16 units

Learn more about the perimeter of a polygon here:

https://brainly.com/question/15569329

#SPJ1

Two functions are defined as follows.
•f(x) = x2 – 2x – 1
•g(x) = 2x - 1
Determine a simplified expression to represent (f.g)(x). Use the on-screen keyboard to type the correct answer in the box.
(f•g)(x)=​

PLEASE HELP, I HAVE LIMITED TIME!

Two functions are defined as follows. f(x) = x2 2x 1 g(x) = 2x - 1 Determine a simplified expression

Answers

(fog)(x) = f(g(x)) = f(2x -1) = (2x - 1)^2 - 2(2x - 1) - 1 = 4x^2 - 4x + 1 - 4x + 2 - 1 = 4x^2 - 8x + 2

The value of f(g(x)) is 4x² – 8x+ 2 .

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

f(x) = x² – 2x – 1

g(x) = 2x - 1

So, f(g(x))

=f(2x - 1)

=(2x-1)² – 2(2x-1) – 1

=4x² – 4x + 1 -4x + 2 -1

=4x² – 8x+ 2

hence, the value of f.g(x) is  4x² – 8x+ 2 .

Learn more about function here:

https://brainly.com/question/22056199

#SPJ5

First person gets brainliest lol

Answers

Answer:

YAY

Step-by-step explanation:

Answer:

ayyy im late.. but anyway soo

What type of infection is controlled with antibiotics?

Answers

Answer:

Bacterial infection

Step-by-step explanation:

Antibiotics are most effective against bacterial infections.

Answer:

Bacterial infection

Antibiotics are most effective against bacterial infections

The area of a sqaure is given by x², where x is the length of one side. Marys original garden was in the shape of a sqaure. She has decided to double the area of her garden. Enter an expression that represents the area of Marys new garden. An expression that represents the area is ?​

Answers

Answer:

2x^2

Step-by-step explanation:

X^2*2= 2x^2

Big brain strat :)

7. Newton buys a board game for $9.99
and a pack of trading cards for $2.99.
He gives the cashier a $20 bill. How
much change does he receive?
AWNSER ASAPP

Answers

Answer: Hello, there!  Your Answer is Below^^

7.O2 Would be The Correct Answer.

Step-by-step explanation:

So I Subtracted 20 - 12.98 And Got the Answer $ 7.02

To Add Or subtract Decimals Here's what you can do to find your Answer

Line up the numbers vertically so that the decimal points all lie on a vertical line.  

Add extra zeros to the right of the number so that each number has the same number of digits to the right of the decimal place. Step 3: Subtract the numbers as you would whole numbers.

Hope this Helps!!

Have a great day!!!

what value is 3 times the sum of 21 and 36

Answers

Answer:

171

Step-by-step explanation:

21+36=57

57x3=171

A Construction Plant Hirer is considering changing its strategy for plant purchasing. The
following table lists the company's current and potential strategies.
Current strategy New strategy
Total capital cost £2,500,000 £2,900,000
Maintenance cost £120,000 per year for
first 2 years, then
increasing by £20, 000 a
year
£20,000 per year
Rental income £870,000 per year for
first 3 years, then
reducing by £40,000 per
year
£1,000,000 per year for 3
years
Life of equipment 8 years 3 years
Resale value £800,000 £1,500,000
Discount rate to be used in the analysis is 9%.
1. Based on financial appraisal techniques alone, advise the company on what strategy to
adopt.
2. Calculate the minimum resale value needed for the losing strategy in order for you to
change your recommendation.
Interest Table for 9%
Year Compound Present Compound Sinking Present Capital
or amount of value of amount of fund worth of recovery
period a single a single a uniform deposit a uniform
sum sum series series
1 1.090 0.917 1.000 1.000 0.917 1.090
2 1.188 0.842 2.090 0.478 1.759 0.568
3 1.295 0.772 3.278 0.305 2.531 0.395
4 1.412 0.708 4.573 0.219 3.240 0.309
5 1.539 0.650 5.985 0.167 3.890 0.257
6 1.677 0.596 7.523 0.133 4.486 0.223
7 1.828 0.547 9.200 0.109 5.033 0.199
8 1.993 0.502 11.028 0.091 5.535 0.181
9 2.172 0.460 13.021 0.077 5.995 0.167
10 2.367 0.422 15.193 0.066 6.418 0.156
11 2.580 0.388 17.560 0.057 6.805 0.147
12 2.813 0.356 20.141 0.050 7.161 0.140
13 3.066 0.326 22.953 0.044 7.487 0.134
14 3.342 0.299 26.019 0.038 7.786 0.128
15 3.642 0.275 29.361 0.034 8.061 0.124
16 3.970 0.252 33.003 0.030 8.313 0.120
17 4.328 0.231 36.974 0.027 8.544 0.117
18 4.717 0.212 41.301 0.024 8.756 0.114
19 5.142 0.194 46.018 0.022 8.950 0.112
20 5.604 0.178 51.160 0.020 9.129 0.110
21 6.109 0.164 56.765 0.018 9.292 0.108
22 6.659 0.150 62.873 0.016 9.442 0.106
23 7.258 0.138 69.532 0.014 9.580 0.104
24 7.911 0.126 76.790 0.013 9.707 0.103
25 8.623 0.116 84.701 0.012 9.823 0.102
26 9.399 0.106 93.324 0.011 9.929 0.101
27 10.245 0.098 102.723 0.010 10.027 0.100
28 11.167 0.090 112.968 0.009 10.116 0.099
29 12.172 0.082 124.135 0.008 10.198 0.098
30 13.268 0.075 136.308 0.007 10.274 0.097
35 20.414 0.049 215.711 0.005 10.567 0.095
40 31.409 0.032 337.882 0.003 10.757 0.093
45 48.327 0.021 525.859 0.002 10.881 0.092
50 74.358 0.013 815.084 0.001 10.962 0.091

Answers

If greenfield company has a piece of manufacturing equipment with a book value of $40,000 and a remaining useful life of four years.  the total increase or decrease in income by replacing the current equipment with the new equipment is:$22,000 decrease.

Here, we have,

to find the increase or decrease in income

Annual Savings $76,000

($19,000 × 4 years)

Add Proceeds from Sale of Machine $22,000

Total  $98,000

Total increase or decrease in income = $98,000 - $120,000

Total increase or decrease in income = $22,000 (Decrease)

Therefore the decrease in income is $22,000.

Learn more about decrease in income here:

brainly.com/question/28344066

#SPJ1

complete question:

granfield company has a piece of manufacturing equipment with a book value of $40,000 and a remaining useful life of four years. at the end of the four years the equipment will have a zero-salvage value. granfield can purchase new equipment for $120,000 and receive $22,000 in return for trading in its current equipment. the current equipment has variable manufacturing costs of $39,000 per year. the new equipment will reduce variable manufacturing costs by $19,000 per year over its four-year life. the total increase or decrease in income by replacing the current equipment with the new equipment is:

-8x+y=6
-8x+3y=-14

How would you solve this using the elimination method? Thanks!

Answers

Answer:

x = -1,375

y = -5

Step-by-step explanation:

{-8x + y = 6, / : (-1)

{-8x + 3y = -14;

Multiply the first equation by -1, so that we could eliminate 8x:

+ {8x - y = -6,

{-8x + 3y = -14;

----------------------

4y = - 20 / : 4

y = -5

Now, make x the subject from the first equation (you can do it from the 2nd one instead):

8x = -6 + y / : 8

x = -0,75 + 0,125y

x = -0,75 + 0,125 × (-5) = -0,75 - 0,625 = -1,375

Jill has $7.85 in dimes and quarters. She has 12 more
quarters than dimes. Write a system of equations that
could represents the situation if D represents the
number of dimes and Q the number of quarters?

Answers

she has $7.85 in quarters and dimes

quarters = 25c

dimes = 10c

she has 12 more

so, we know she has AT LEAST 12 quarters

25 x 12 = 300 = $3.00

but we also know its not possible for her to have more dimes quarters

( im not rlly sure what to do, bc you havent given me multiple choices, but i hope this helps )

How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions ​

How many solutions does this system have? no solutions one unique solution O O two solutions O or an

Answers

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

A hiking trail is shown as 14 cm on a map.

The scale is 1 : 150000

How far in km is it in real life?

Answers

Answer:

21km

Step-by-step explanation:

1km=100000cm

14x150000=2100000cm=21km

The distance in real life in kilometers by the given scale factor will be 21 kilometers.

What is the scale factor?

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The scale factor is done due to the unpractical measurement of any figure.

As per the given,

Scale factor = 1 : 150000

It means 1 cm will convert to 150000 cm.

In real life = 14 x 150000 = 2100000 cm

2100000 cm = 21000 m = 21 kilometer

Hence "The distance in real life in kilometers by the given scale factor will be 21 kilometers".

To learn more about scale factors,

brainly.com/question/22312172

#SPJ6

PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

it will be choice 3

Step-by-step explanation:

as if you bend each shape of each of them the only choice that will give you a pyramide with a omitted side

The volume of a sphere is 4500π m3. What is the surface area of the sphere to the nearest square meter?

Answers

Answer:

2827 m²

Step-by-step explanation:

The equation for volume of a sphere is:

\(V=\frac{4}{3}\pi r^3\)

Using this equation and the given volume of the sphere, we can find the radius of the sphere.

Finding the Radius

\(V=\frac{4}{3}\pi r^3\)

\(4500\pi = \frac{4}{3}\pi r^3\)

Divide both sides by π

\(4500=\frac{4}{3}(r^3)\)

Multiply both sides by 3

\(13500=4( r^3)\)

Divide both sides by 4

\(3375=r^3\)

Take the cube root of both sides

\(r=15\)

Thus the radius of the sphere is 15m. We can use this information to find the surface area of the sphere.

Finding the Surface Area

The equation for surface area of a sphere is \(4\pi r^2\). Substituting the value we found for the radius into the equation, we find:

\(SA=4\pi r^2\\SA=4\pi 15^2\\SA=4\pi 225\\SA=900\pi\\SA\approx2827$ m^2\)

The surface area of the sphere, rounded to the nearest square meter, is 2827 m².

Other Questions
Select the sentence with a verb phrase. He likes pizza better than tacos. Jude must be playing in his room. Mara runs faster than her brother does. We finished washing all the dishes. What are the three properties of a mixture A spring has an maximum displacement of 6m and a period of 8s. What is its position as a function of time? The people and institutions the bosses controlled were called theA. political areasB. political machineC. political bosesD. political neighborhoods When senators decide it is time to vote on a bill, they begin a procedure called a __________ to indicate the time for discussion is over. A. filibuster B. gerrymander C. cloture D. closed door session Organophosphate pesticides work by inhibiting ace tylcholinesterase, the enzyme that breaks down the neurotransmitter acetylcholine. Explain how these toxins would affect EPSPs produced by acetylcholine. Patty goes to the mall at 10:30 A.M. and meets a friend at a movie at 12:15 P.M. Patty wants to shop and have 50 minutes for lunch before meeting her friend.How much time can Patty spend shopping? Is a vote unanimous if there is an abstention?. Find the eighth term of each sequence. 43,41,39,37,35, ............ A force of 150 newtons was necessary to lift a tree. A total of 250 joules of work was done. How far was the tree lifted? Wood is a renewable fuel Oa. when it is harvested no faster than it is replenished. b. because of its high net energy yield. Oc. because of the low price of processing. Od. when it is harvested exclusively from forests. e. if it is taken from slow-growing trees that are large and burn easily. A cereal company wants to use the most efficient packaging for their new product. They are considering a cylindrical-shaped box and a cubeshaped box. Compare the ratios of the volume to the surface area of the containers to determine which packaging will be more efficient.a. How can you measure the cereal box's efficiency? In the red heart, write a note for the roles and responsibilities of parents well attended and followed in child rearing and caring. which of the following statements about patents is not true? multiple choice a patent can be enforced in court. a patent can be obtained when an invention is useful, novel, and nonobvious. a patent over a product translates into a permanent monopoly position. a patent is a form of intellectual property. Edgar has test scores of 87, 92, 90, 84, 88, and 91. What is the lowest grade Edger can get on the next test to have an A average (90 or higher)?A. 100B. 96C. 94D. 98 The current level of a broad stock market index is 1,589. Its dividend yield is 3% and the standard deviation of index returns is 20%.An American call option on the stock expires in 0.6 years. Its strike price is $1,590. The risk-free rate is 7% (annual, continuously compounded).Value the option using a binomial model with 2 periods of length 0.3 years each.Part 1What is the value of d, the down-movement factor?Part 2What is the risk-neutral probability of an up movement?Part 3What is the option payoff in 0.6 years if the stock price went up twice in a row?Part 4What is the value of the option in 0.3 years if the stock price has gone up once?Part 5What is the value of the option in 0.3 years if the stock price has gone down once?Part 6What is the current value of the option? Help me with the 11 and 12 please a nurse performs cardiopulmonary resuscitation (cpr) on a 92-year-old with brittle bones and breaks a rib during the procedure, which then punctures a lung. the patient recovers completely without any residual problems and sues the nurse for pain and suffering and for malpractice. which key point will the prosecution attempt to prove against the nurse? which two statements describe the ocean floor A. there are underwater mountain chains B. there are many active undersea volcanoes C. it has only smooth surfaces between continental shelves D. it is covered with underwater forest of tall trees Suppose there are 16 students in your class. If the teacher draws 2 names at random, what is the probability that you and your best friend will be chosen?1/151/1201/83/31