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Answer 1

Answer:

Function A rate = 5/1

Function B rate = -4.5

Function A because its rate is positive while Function B's rate is negative


Related Questions

What is the area of this figure?
8 yd
9 yd
11 yd
9 yd
7 yd
17 yd
6 yd
11 yd

Answers

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A line with a slope of -7 passes through the points (4,5) and (5,g). What is the value of g?

Answers

Answer:

I think the answer would be -2 . hope it helps u .

From Monday through​ Friday, works in the on and in the on another . On Saturday and​ Sunday, ​50% of the days. How many days does work in a​ week? What percent of Monday through Friday does ​work?

Answers

Complete question :

From Monday through Friday, James works in the library on 2 days and in the cafeteria on another day. On Saturday and Sunday, James washes cars 50% of the days. How many days does James work in a week? What percent of the days from Monday through Friday does he work?

Answer:

4 days ;

60%

Step-by-step explanation:

From Monday to Friday

Number of days in library = 2

Number of days in cafeteria = 1

50% of days in weekends

Number of weekend days = 2

50% of 2 = 0.5 * 2 = 1 day

Total. Number of days worked = (2 +1 + 1) = 4 days

What percent of the days from Monday through Friday does he work?

Number of days workwd from. Monday to Friday = 3

Total number of days from Monday to Friday = 5

Percentage of days worked from Monday to Friday

= number of days worked / total number of days

= 3 /5 * 100%

= 0.6 * 100%

= 60%

Solve for x.
0 < 3x – 6 < 18
O 0sxs8
2 O x<0 or x = 8
Oxs 2 or x 28

Answers

Answer:

2 ≤ x ≤ 8

Step-by-step explanation:

0 ≤ 3x - 6 ≤ 18

0 ≤ 3x - 6

6 ≤ 3x

2 ≤ x

3x - 6 ≤ 18

3x ≤ 18 + 6

3x ≤ 24

x ≤ 8

Combined:

2 ≤ x ≤ 8

Answer:

2 ≤ x≤ 8

2nd option:)

Step-by-step explanation:

A triangular prism has a base that is an isosceles triangle with sides ​14 cm, 14cm ​, base 9 cm ​, and height 13 cm. The height of the prism is 32 cm. What is the surface area of this​ prism?

Answers

Answer:

Surface area of prism = 1301 cm²

Step-by-step explanation:

A triangular pyramid has 3 rectangular sides and 2 triangular sides.

Now, we are told that the triangular side is isosceles.

This means that two of the rectangular sides which share a side with the equal side of the triangle are equal as well as the 2 triangular sides.

Surface area of prism = 2(area of triangular face) + 2(area of rectangle sharing one side with the equal side of the triangle) + (area of rectangle sharing side with the unequal side of the triangle).

Area of triangle = ½ × base × height

Area of triangle = ½ × 9 × 13 = 58.5 cm²

Since height of prism is 32 cm, then;

area of rectangle sharing one side with the equal side of the triangle = 32 × 14 = 448 cm²

area of rectangle sharing side with the unequal side of the triangle = 32 × 9 = 288 cm²

Thus;

Surface area of prism = 2(58.5) + 2(448) + 288

Surface area of prism = 1301 cm²

Let {X;};_₁ be independent standard normal random variables. Let =1 Y = (X₁ + X3 + X5 + X7)² + (X2 + X4+ X6 + X8)². Determine a value c such that the random variable cY will have a x² distribution.

Answers

To determine the value of c such that the random variable cY follows a chi-squared (x²) distribution, we need to compare the moments of cY with the moments of a standard x² distribution.

The random variable Y is defined as Y = (X₁ + X₃ + X₅ + X₇)² + (X₂ + X₄ + X₆ + X₈)², where X₁, X₃, X₅, X₇, X₂, X₄, X₆, and X₈ are independent standard normal random variables.

The x² distribution is characterized by its degrees of freedom, which determine the shape and variability of the distribution. For a standard x² distribution, the degrees of freedom are equal to the number of squared independent standard normal variables that are summed together.

In this case, Y is a sum of squared independent standard normal variables. By expanding Y, we can see that it consists of two terms, each squared separately. Each term represents the sum of four independent standard normal variables. Therefore, each term follows a x² distribution with 4 degrees of freedom.

To make cY follow a x² distribution, we need to equate the degrees of freedom of cY with 4. By comparing the moments of cY with the moments of a standard x² distribution with 4 degrees of freedom, we can solve for the value of c. The moments of cY will depend on the value of c, and by setting them equal to the corresponding moments of a x² distribution, we can find the specific value of c.

In summary, to determine the value of c such that the random variable cY follows a x² distribution, we need to compare the moments of cY with the moments of a standard x² distribution. By equating the degrees of freedom and comparing the corresponding moments, we can find the value of c.

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Given the following, draw the graph and describe the transformations involved.

f (x) = 1/2cos(x - π/2) -1 for - 2π ≤ x < = 2π

Answers

The graph of f(x) = 1/2cos(x - π/2) -1 for -2π ≤ x ≤ 2π is a cosine curve with a maximum value of y = -1/2 and a minimum value of y = -3/2, shifted to the right by π/2 units and compressed vertically by a factor of 1/2.

To draw the graph of the function f(x) = 1/2cos(x - π/2) -1 for -2π ≤ x ≤ 2π, we first need to understand the transformations involved.

The function f(x) = cos(x) has a period of 2π and an amplitude of 1. The function f(x) = cos(x - π/2) is obtained by shifting the graph of f(x) = cos(x) to the right by π/2 units.

This means that the maximum value of f(x) = cos(x - π/2) occurs at x = 0, instead of x = π/2 as in f(x) = cos(x).

Multiplying the function by 1/2 compresses the graph vertically, which reduces the amplitude to 1/2. Finally, subtracting 1 from the function shifts the graph down by 1 unit.

Combining all these transformations, we can see that the graph of f(x) = 1/2cos(x - π/2) -1 for -2π ≤ x ≤ 2π is obtained by taking the graph of y = cos(x), shifting it to the right by π/2 units, compressing it vertically by a factor of 1/2, and then shifting it down by 1 unit.

To draw the graph, we can start with the graph of y = cos(x), which has a maximum value of 1 at x = 0 and a minimum value of -1 at x = π and x = -π. Shifting this graph to the right by π/2 units gives us a maximum value of 1 at x = π/2 and a minimum value of -1 at x = 3π/2 and x = -π/2.

     |

     |

 1.5 |                                      .

     |                              .

     |                    .

 1.0 |              .

     |       .

     | .

 0.5 x

     | .

     |       .

 0.0 |              .

     |                    .

     |                          .

-0.5 |                               .

     |                                      .

     |

-1.0 +-------------------------------------------------------

    -2π    -3π/2   -π    -π/2    0    π/2     π     3π/2     2π

Compressing this graph vertically by a factor of 1/2 reduces the maximum value to 1/2 and the minimum value to -1/2.  Finally, shifting the graph down by 1 unit moves the maximum value to y = -1/2 and the minimum value to y = -3/2.

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A recipe needs tablespoon salt
This same recipe is made 5 times.
How much total is needed?

Answers

Answer: c) 1 1/4

Step-by-step explanation: you do 1/4 times 5 .You make 5 a fraction which is 5/1.So now you do 1/4 times 5/1 which is 5/4.And you change it to a mixed number which is 1 1/4.

To factor 9x2 - 4, you can first rewrite the expression as:

Answers

Answer:

Option C is correct.

(3x)² - 2²

Answer: It is D or C

Step-by-step

I think it is D or C because 9 times 2 is 18. 18 minus 4 is 14. And all the other equations equal something else. The first one is 3- 2times 2 and that is 4 so that would be one. The second is x minus 4 that would be 8. Then the next would be 9 minus 4. That is 5 so it is either C or D.

really need help if correct i will mark brainliest

Answers

Answer:

11.375

Step-by-step explanation:

Answer:

4

Explanation:

The amount of calculation, if done by hand, will be quite effortful to input.

Anton is buying supplies for a charity event.
A pack of 50 paper cups costs £1.89.
A pack of 10 paper plates costs 49p.
Anton has £15 to spend.
Anton buys 250 paper cups and spends the rest on paper plates.
How many paper plates can he buy?
Someone please help me work out the answer to how it’s 110 paper plates.
I’ll award brainiest❤️❤️.

Answers

Answer:

110 paper plates

Step-by-step explanation:

Given values:

1 Pack of paper cups (50) = 1.89

1 pack of paper plates (10) = 0.49

Anton has 15.00 to spend

If Anton were to buy 250 paper cups, that would cost him 5 packs since each pack is 50 cups. 5 packs would cost him 1.89 x 5 or 9.45. He now has 5.55 left to spend on paper plates.

Each pack of paper plates is 0.49. To find how many packs he can buy with the remaining amount of money, divide the money buy the cost.

5.55/0.49 ≈ 11.32

Since you can't buy .32 packs, Anton can buy 11 packs, or 110 paper plates.

on parallelogram ABCD below, if A (4,1), B (8, 5), C(6, -3) and D(2, -3). what are the coordinates of point E

Answers

The best answer to go with is b you’re welcome my guy

Given the second-order linear homogeneous ordinary differential equa- tion with variable coefficients dạy d.x2 2.0 (1 – 2:2) d?y dy +m(m+1)y = 0, MER, 0, dc use y(x) = ananth to obtain n=0 8 P}(k)aoxk-2 + P3(k)a1.mk-1 + branth - 0, n=0 - where Pi} (k), P2 (k) are polynomials of degree 2 to be determined. Find the roots of the polynomial equation P) (k) = 0 and comment on the coefficients ao and a, in light of the smaller one of these two roots. Next, using the smaller root, establish an explicit expression for the general term bn, and thus derive a recurrence relation between an+2 and an Finally, using the recurrence relation you have found above, obtain the first three terms of two linearly independent series solutions in their simplest form, one with even and one with odd powers of x.

Answers

Answer:.

Step-by-step explanation:

Convert 5pie/3 radians to degree measure

Answers

Answer:

300°

Step-by-step explanation:

That'd be 5pi/3 radians.  Note that 3pi/3 radians corresponds to 180° and that 6pi/3 corresponds to 360°.  Thus 5pi/3 is in Quadrant IV, meaning that the angle in degrees is between 270° and 360°.  

The "radians to degrees" conversion factor is (180°/pi), and so

5pi/3 radians works out to:

5pi/3 · 180°       5· 180°

----------------- = ---------- = 300°

          3 pi             3

According to exponent rules, when we multiply the same base we _____ the exponents

Answers

Answer:

Add

Step-by-step explanation:

When MULTIPLY exponents with same base, you Keep the base and + ADD the exponents.

[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \huge{ \tt{{ \: add \: }}}}}}[/tex]

According to exponent rules, when we multiply the same base we Add the exponents.

Choose the most appropriate completion of the sentence. In order to indicate a strong correlation between variables, the correlation coefficient will be
near -1 or 1
near 1
near 1/2
near - 1
near 0
near 10

Answers

To indicate a strong correlation between variables, the correlation coefficient will be close to its extreme values of -1 or 1, suggesting a high degree of linear relationship between the variables.

The correlation coefficient, also known as Pearson's correlation coefficient, ranges from -1 to 1.The correlation coefficient quantifies both the magnitude and direction of the linear association between two variables, providing a measure of the strength of their relationship.

When the correlation coefficient is close to -1, it suggests a strong inverse relationship between the variables, indicating that as one variable increases, the other variable tends to decrease consistently.

On the other hand, a correlation coefficient close to 1 indicates a strong positive correlation, where an increase in one variable is associated with an increase in the other variable.

A correlation coefficient near 0, or close to 0.5, does not indicate a strong correlation between the variables. A value close to 0 suggests a weak or no linear relationship between the variables, while a value close to 0.5 indicates a moderate correlation.

Therefore, to indicate a strong correlation between variables, we look for correlation coefficients that are near -1 or 1, indicating a strong negative or positive linear relationship, respectively.

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how do you round 0.955 to the nearest tenth

Answers

Answer:

1.0

Step-by-step explanation:

If you have any questions feel free to ask in the comments

Answer: 1.0

Step-by-step explanation:

Given:  "0.995 inches" ; round to the nearest TENTH of an inch.

(which means; round to the nearest "first decimal point" ; and to include the actual first decimal point (and that decimal point only, the "tenths place").

We are given the number:  "0.955" .  This is given to the nearest THOUSANDS.  

We examine the "tenths place":  "0.9" .  So we know our choices are:

"0.9" (round down to the nearest tenths place); or, "1.0" (round up to the nearest tenths place).  

           →  We examine the number: "0.955" ; and look to the next value, the "hundredths place".  

           → If that digit is 5 or greater (i.e. 5 to 9), we "round up" ; and the correct answer is:  "1.0" .  If that number is "4" or less (i.e. 0 to 4), we round down; and the correct answer is:  "0.9".

________________________________________

In the case of our give value:  "0.955" .  The digit to the right of "9" is "5" ; so, as previously mentioned, we "round up" ;  to:  "1.0".

Do not forget to include the units.

______________________________________________________

The answer is:  1.0 inches.

_________________________________________________

Izzy has 354 grapes and 600 red grapes. The man in the store is selling apples. How many grapes are there in all?

Answers

354+600=954
:)))
SHEEEEEEEESH

in order to conduct an experiment, subjects are randomly selected from a group of subjects. how many different groups of subjects are possible?

Answers

The number of different groups of subjects possible when randomly selecting from a group of subjects can be determined using the concept of combinations. The total number of possible groups can be calculated by finding the number of combinations of subjects that can be formed from the given group.

When selecting subjects from a group, the order of selection doesn't matter. We can use the combination formula to calculate the number of different groups. If there are 'n' subjects in the group and we want to select 'r' subjects, the number of different groups can be calculated as C(n, r), which is given by

n! / (r! * (n - r)!).

For example, if there are 10 subjects in the group and we want to select 3 subjects, the number of different groups of subjects possible would be

C(10, 3) = 10! / (3! * (10 - 3)!),

which simplifies to 10! / (3! * 7!).

Evaluating this expression will give you the total number of different groups of subjects that can be formed through random selection.

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Which of the following is a correct interpretation of the expression -4- (-7)?
Choose 1 answer:
The number that is
to the left of -7 on the number line
B
The number that is 4 to the right of -7 on the number line
The number that is 7 to the left of -4 on the number line
D
The number that is 7 to the right of -4 on the number line

Answers

Answer:

I think option (d) is right answer

Answer:

c

Step-by-step explanation:

PLEASE HELP!!1!!1!!11!!1!! I WILL MARK BRAINLIEST!!!!!!!!!111!111!!1!!11!

Answers

Answer:

s

Step-by-step explanation:

Answer:

fourth option) 5/8 lb

I need help with this math translation :')

Answers

The type of transformation in this problem is given as follows:

Vertical translation.

What are the translation rules?

The four translation rules are defined as follows:

Left a units: x -> x - a. -> horizontal translation.Right a units: x -> x + a. -> horizontal translation.Up a units: y -> y + a. -> vertical translation.Down a units: y -> y - a. -> vertical translation.

For this problem, we have a translation of 2 units up, which is called a vertical translation.

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The probability of not spinning a 5 and flipping heads and the spinner has 5 outcomes

Answers

Answer:

So the odds of flipping a coin 5 times and getting 5 heads are 1/2 ^5 (half to the power of 5). Which gives us 1/32 or just over a 3% chance.

Step-by-step explanation:

7th grade math!

Can somebody plz help answer these questions correctly (only if u done this type of math before) thx :3
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD

Answers

Answer:

angle w = 70 degrees

angle x = 60 degrees

angle y = 70 degrees

angle z = 60 degrees

Step-by-step explanation:

You need to understand the properties of supplementary angles and corresponding angles.

how many meters are their in centimeter​

Answers

Answer:

You mean how many centimerters are in a meter?

In that case 100.

Step-by-step explanation:

to know if two figures are _______ you have to analyze they have to have the same shape but not the same size​

Answers

Answer:

Similar!

Step-by-step explanation:

Hope this helps!

Congruent. 2 shapes are congruent if they are the same shape but not same size

Test at 20% significance level whether one of the drugs is more effective than the other.
(a) The absolute value of the critical value of this test is
(b) The absolute value of the calculated test statistic
(c) The p-value of this test is

Answers

Given,Test at 20% significance level whether one of the drugs is more effective than the other.

We need to calculate the absolute value of the critical value of this test, the absolute value of the calculated test statistic, and the p-value of this test.Solution:(a) The absolute value of the critical value of this test isThe level of significance is 20%.The degree of freedom is (r-1)(c-1) = (3-1)(2-1) = 2

From the chi-square table, the critical value for a chi-square distribution with 2 degrees of freedom and a level of significance of 0.20 is 3.219(i.e. critical value = 3.219)The absolute value of the critical value of this test is 3.219.(b) The absolute value of the calculated test statistic

The table is shown below:  We have, Total = 69 Test at 20% significance level whether one of the drugs is more effective than the other.To check the difference in effectiveness, we will use a chi-square goodness of fit test.

The null hypothesis H0: The two drugs are equally effective.

The alternative hypothesis Ha: One of the drugs is more effective.

The expected values of the two drugs are:  Expected Value of Drug A = (32+18) / 3 = 16 Expected Value of Drug B = (32+1) / 3 = 11 The calculations are summarized in the table below:  The formula to calculate the chi-square value is, chi-square = ∑ (O - E)2 / E The calculated value of chi-square is 6.07.The absolute value of the calculated test statistic is 6.07.(c) The p-value of this test isThe degree of freedom is (r-1)(c-1) = (3-1)(2-1) = 2

The level of significance is 20%.From the chi-square table, the p-value for a chi-square distribution with 2 degrees of freedom and a chi-square value of 6.07 is 0.047 (i.e. p-value = 0.047)The p-value of this test is 0.047.

Answer:(a) The absolute value of the critical value of this test is 3.219.(b) The absolute value of the calculated test statistic is 6.07.(c) The p-value of this test is 0.047.

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We fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that one drug is more effective than the other at the 20% level of significance.

Below is the table of values for the drugs drug A and drug B

Group A 7 10 13 15 8 7 6 10 9 11 10 11

Group B 6 12 9 11 8 8 9 12 10 14

(a) The absolute value of the critical value of this test

The absolute value of the critical value of this test is given by the formula:

[tex]`z = |zα/2|`[/tex]

where α = 0.2;

degree of freedom = `n1+n2-2` = `12+10-2` = `20`

From the standard normal table, the value of zα/2 at 0.2 is 1.645

Therefore, the absolute value of the critical value of this test is; `|1.645| = 1.645`.

(b) The absolute value of the calculated test statistic

The formula for the test statistic is given by;

[tex]`t=bar x1 -bar x2)/((s^2/n1)+(s^2/n2))`[/tex]

where `bar x1` and `bar x2` are the sample means of the two groups,

`s^2` is the pooled variance, n1 and n2 are the sample sizes of the two groups

and [tex]`s^2 = ((n1 -1) s1^2 + (n2 -1) s2^2 )/(n1 + n2 - 2)`[/tex]

Using the data given, we get:

Group A 7 10 13 15 8 7 6 10 9 11 10 11

`n1` = 12

[tex]`bar x1` = `(7+10+13+15+8+7+6+10+9+11+10+11)/12 = 9.583`[/tex]

and `s1` = 2.818

Group B 6 12 9 11 8 8 9 12 10 14

`n2` = 10

[tex]`bar x2` = `(6+12+9+11+8+8+9+12+10+14)/10 = 9.9`[/tex]

and `s2` = 2.205

[tex]`s^2` = `((12-1)2.818^2 + (10-1)2.205^2)/(12+10-2)` = `((11)(7.95)+(9)(4.86))/20` = `6.2155`[/tex]

Therefore, [tex]`t= |9.583 - 9.9| / (6.2155[(1/12)+(1/10)])`= 0.3164[/tex]

The absolute value of the calculated test statistic is 0.3164

(c) The p-value of this test is

The p-value of this test is 0.76 (rounded to two decimal places)

This indicates that the p-value is higher than the significance level, 0.2.

Therefore, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that one drug is more effective than the other at the 20% level of significance.

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Explain how you can tell whether the sum of two integers is positive or negative, before adding them.

Answers

Answer:

The sum of any integer and its opposite is equal to zero. adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.

Answer:

Step-by-step explanation:

The sum will have the same sign as the integer with the greater magnitude.

Example:  the sum of -11 and 5 is -6, where the 6 takes the sign of -11 (which has a greater magnitude than does 5).

The vectors vi = 3 and v2 = -3 are 2 -2. linearly independent with 1 Select one: V3 = 7 2 None of these O -8 =-3 -2 O V3 = -3 -3 V3 = -3 3 2

Answers

Among the given options, none of them correctly represent v₃ as a linearly independent vector.

 How is this so ?

To determine if a set of vectors is linearly independent,we can set up a linear combination equation where the   coefficients are variables.

In this case,we will introduce a   third vector v₃ = [a, b] and check if there exist non-zero values for a and b that satisfy the equation -

c₁ * v₁ + c₂ * v₂ + c₃ * v₃   = 0

where c₁, c₂, and c₃ are the coefficients  of the vectors.

Let's substitute the given   vectors into the equation  -

c₁ * [3, 2] + c₂ *   [-3, -2] + c₃ * [a, b]  = [0, 0]

[3c₁ -   3c₂ + ac₃, 2c1 - 2c₂ + bc₃] = [0, 0]

To determine if there exist   non-zero values for a and b that satisfy the equation,we can set up a system of equations -

3c₁ - 3c₂ +   ac₃ = 0

2c₁ - 2c₂ + bc₃ = 0

Solving   the system of equations, we find that for any non-zero values of a and b,the coefficients c₁, c₂, and c₃ must be zero to satisfy the equation.

This means that the   vectors v₁ = [3, 2] and v₂ = [-3, -2] are linearly independent.

Among the given options, none of them correctly represent v₃ as a linearly independent vector.

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plz help 5x + 2 = x – 10

Answers

Answer:

x= -3

Step-by-step explanation:

5x + 2 = x - 10

4x + 2 = -10

4× = 10 - 2

4x = -12

x= -3

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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 244 feet and a standard deviation of 45 feet. Use Onlinestatbook or GeoGebra to answer the following questions. Write your answers in percent form. Round your percentages to two decimal places.a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 210 feet?PP(fewer than 210 feet) = ?b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 228 feet?PP(more than 228 feet) = ? Which of the following is true of the image produced by a single diverging lens? a. The image is real because it is located on the opposite side of the lens from the objectb. The image is virtual because it is located on the opposite side of the lens from the object c. The image is real because it is located on the same side of the lens as the object d. The image is virtual because it is located on the same side of the lens as the object The spot exchange rate is 1.57 dollars per pound. The 30-dayforward exchange rate is 1.61 dollars per pound. Compute thepercent per annum premium or discount. Draw a flowchart showing the general logic for finding the highest value in an array. 6. Draw a flowchart showing the general logic for finding the lowest value in an array. Which of the Uranian moons displays the widest range of surface terrains, suggesting some catastrophic disruption? ind a set of parametric equations for the rectangular equation y = 3x - 5 x = t + 1, y = 3t - 2 x = t - 1, y = 4t^2 - 9t - 6 x = t - 1, y = 3t + 2 x = t, y = 4t^2 - t - 5 x = t, y = 3t - 5 using Montecarlo create an R code to solve problemConsider a call option with S0=50),\(K=51 , r=.05 , =.3 and T=.5 . Use the Monte Carlo estimation of stock price to estimate Delta, Gamma and vega for the standard call option and compare it with the formulas given in the book.The following is given code just modify it```{r}ST=50*exp((.05-.3^2/2)*.5+.3*sqrt(.5)*rnorm(10))payoff=(51-ST)*(51-ST>0)STpayoffexp(-.05*.5)*mean(payoff)ST=50*exp((.05-.3^2/2)*.5+.3*sqrt(.5)*rnorm(10000))payoff=(51-ST)*(51-ST>0)exp(-.05*.5)*mean(payoff) Professor Wendy Smith has been offered the following deal: A law firm would like to retain her for an up-front payment of $50,000. In return, for the next year the firm would have access to eight hours of her time every month. Smith's rate is $550 per hour and her opportunity cost of capital is 15% per year. What does the IRR rule advise regarding this opportunity? What about the NPV rule? Complete the steps below using cell references to given data or previous calculations. In some cases, a simple cell reference is all you need. To copy/paste a formula across a row or down a column, an absolute cell reference or a mixed cell reference may be preferred. If a specific Excel function is to be used, the directions will specify the use of that function. Do not type in numerical data into a cell or function. Instead, make a reference to the cell in which the data is found. Make your computations only in the blue cells highlighted below. In all cases, unless otherwise directed, use the earliest appearance of the data in your formulas, usually the Given Data section. Here are some DNA fragments that have been isolated by gel electrophoresis after being cut with restriction enzymes A. 5'-ACTGACATAGGCACCCCTTAA-3' 3'-TGACTGTATCCGTGGGG-5 B. 5'-TGACTGTATCCGTGGGG-3 3'-ACTGACATAGGCACCCCTTAA-5' C. 5 '-GGCATACTAGATCCACGTTAA-3 3'-CCGTATGATCTAGGTGC-5' D. 5 '-GGCATACTAGATCCACGAATT-3' 3 '-CCGTATGATCTAGGTGC-5 E. 5 '-GGCATACTAGATCCACGGATC-3' 3 '-CCGTATGATCTAGGTGC-5 a. Which pair of these fragments has appropriate complementary sticky ends to get joined together in a recombinant DNA molecule? b. What enzyme would we use to join up the DNA backbones to make the make the recombinant molecule? Fermat's Little Theorem a. State and prove Fermat's Little Theorem. b. State and prove/disprove the contrapositive of Fermat's Little Theorem. c. In plain language, explain what Fermat's Little Theorem means and discuss the importance it's importance in Mathematics. Non-cardiogenic pulmonary edema is the most profound effect from exposure to: Select one :a. Mustard agent b. Chlorine vapor c. Lewisite d. Phosgene oxime. Stella Liebeck, an elderly grandmother, received third-degree burns when she spilled coffee purchased at a McDonald's drive-through. At trial, experts testified that McDonald's coffee was too hot to be consumed at the point of purchase, was hotter than any other restaurant's coffee or coffee brewed at home, and was so hot that third-degree burns would result within three to five seconds of coming into contact with the skin. McDonald's also conceded that the coffee was brewed extremely hot for commercial (profit) reasons, because most customers wanted coffee to be hot throughout their commute. After finding the company liable, the jury awarded Mrs. Liebeck two days' worth of coffee sales at McDonald's, an amount equivalent to $2.7 million, in punitive damages. The award, although reduced to much less than that, set off a firestorm of criticism that has not died down to this day. Hence, now why your coffee cups say "Caution Hot". Do you believe that it's possible for coffee to be unreasonably dangerous? Find this information through the internet and write your answers and cite your sources. What was the tort committed here? . Was there duty owed? Do you believe that the jury's award of $2.7 million for third-degree burns was excessive? Why do you believe that such an award is necessary? Can you identify any standards which have changed in the industry based upon this case? What ethical issues come to mind when you think of this case? impact on the dispatch rules on the operation performance andrelate back to Operations Strategy A Sad Tale: The Demise of Arthur AndersenIn January 2002, there were five major public accounting firms: Arthur Andersen, Deloitte Touche, KPMG, Price Waterhouse-Coopers, and Ernst & Young. By late fall of that year, the number had been reduced to four. Arthur Andersen became the first major public accounting firm to be found guilty of a felony (a conviction later overturned), and as a result it virtually ceased to exist.That such a fate could befall Andersen is especially sad given its early history. When Andersen and Company was established in 1918, it was led by Arthur Andersen, an acknowledged man of principle, and the company had a credo that became firmly embedded in the culture: "Think Straight and Talk Straight." Andersen became an industry leader partly based on high ethical principles and integrity.How did a one-time industry leader find itself in a position where it received a corporate death penalty over ethical issues? First, the market changed. During the 1980s, a boom in mergers and acquisitions and the emergence of information technology fueled the growth of an extremely profitable consulting practice at Andersen. The profits from consulting contracts soon exceeded the profits from auditing,removed him from auditing responsibilities at Enron-in response to a request from Enron management.Playing Hardball and LosingThe SEC was determined to make an example of Andersen. The U.S. Justice Department began a criminal investigation, but investigators were willing to explore some "settlement options" in return for Andersen's cooperation. However, Andersen's senior management appeared arrogant and failed to grasp the political mood in Congress and in the country after a series of business scandals that had brought more than one large company to bankruptcy.After several months of sparring with the Andersen senior management team, the Justice Department charged Andersen with a felony offense-obstruction of justice. Andersen was found guilty in 2002 of illegally instructing its employees to destroy documents relating to Enron, even as the government was conducting inquiries into Enron's finances. During the trial, government lawyers argued that by instructing its staff to "undertake an unprecedented campaign of document destruction," Andersen had obstructed the government's investigation.Since a firm convicted of a felony cannot audit a publicly held company, the conviction spelled the end for Andersen. But even before the guilty verdict, there had been a massive defection of Andersen clients to other accounting firms. The evidence presented at trial showed a breakdown in Andersen's internal controls, a lack of leadership, and an environment in Andersen's Houston office that fostered recklessness and unethical behavior by some partners.In 2005, the United States Supreme Court unanimously overturned the Andersen conviction on the grounds that the jury was given overly broad instructions by the federal judge who presided over the case. But by then it was too late. Most of the Andersen partners had either retired or gone to work for former competitors, and the company had all but ceased to exist.Can the demise of Andersen be blamed on the fact that the market began rewarding consulting services of the kind Andersen could provide? in panel (a), which of the following statements is not correct? a. at e1, the economy is in full employment. b. at e2, unemployment rate rises and jobs are scarce. c. at e2, the economy faces a stagflation crisis. d. at e1, the actual unemployment rate is equal to the natural rate of unemployment. Who was really responsible for the Cold War? Conducting your own investigation, discuss and analyse ONE of the following issues (choose one only): a. A financial market heavily affected by imperfect information. Identify a specific real- world market (e.g. current lending market conditions in Greece) as your case study. Carefully identify and explain the key problems arising from asymmetric information and uncertainty in that market. Support your analysis with evidence, including data. Analyse existing policies and discuss policy alternatives to improve economic efficiency. Support your analysis with data. b. A negative externality. Find a real world example of a substantial negative externality. Present your case very carefully explaining the key issue using evidence. Discuss policy alternatives for bringing a Pareto-improvement into the economy. Compare your policy alternatives with the actual policy being used (if any). Compare it with policies used in other parts of the world. Conclude on the best policy option, or the cost-benefit of each. c. A positive externality. Find a real world example of a substantial positive externality. Present your case very carefully explaining the key issue using evidence. Discuss policy alternatives for bringing a Pareto-improvement into the economy. Compare your policy alternatives with the actual policy being used (if any). Compare it with policies used in other parts of the world. Conclude on the best policy option, or the cost-benefit of each d. A case in which the provision of a (non-existent) public good could be justified. Identify specific real-world case in space-time (e.g. the current need of providing a bridge in Margaret River, WA). Carefully present your case, explaining why the public good is inexistent and the economic efficiency implications of its provision. Discuss a method for obtaining information to conclusively confirm that the public good should be provided. Propose a detailed plan for providing the public good; discuss alternative policies that can be used for it and how alike public goods have been provided in other locations. Which is considered the most sensitive short term interest rate? Which mRNA modification is likely absent if the mRNA is degrading prematurely from the 5 end of the mRNA?A) RNA editingB) addition of the 3 polyadenylated tailC) removal of intronsD) addition of the 7-methylguanosine cap to the 5 endE) splicing together of exons t: Which of the following are risk factors for elder abuse? A psychopathology, especially alcohol and substance abuse family history of violence social isolation D all of the above