The table shows information about the number of sweatshirts sold and money collected at a fundraiser for school athletic programs. For exercise 7-12 use the table

The Table Shows Information About The Number Of Sweatshirts Sold And Money Collected At A Fundraiser

Answers

Answer 1


…………………………………………….not really sure about the last question

The Table Shows Information About The Number Of Sweatshirts Sold And Money Collected At A Fundraiser

Related Questions

SA = 2nr 2 + 2nrh (Use 3.14 for 2.) Jill needs wrapping paper for a cylindrical gift that is 10 inches high and measures 4 inches across the base. How much wrapping paper will she need? i need help ToT​

Answers

Answer:

6.16

Step-by-step explanation:

if I am 6ft 3in tall. and you are 5'3 How much taller or shorter am I than you? How did you find your answer?

Answers

answer: if you are 6’3 and i am 5’3 you will be 12 inches taller than me or a whole foot taller

explaination:

there is 12 inches in a foot. so if i am 5’3 and i add 12 inches to that i will ger 6’3. which is how tall you are

someone 10 points...?​

someone 10 points...?

Answers

Answer:

Frequently consuming unusually large amounts of food in one sitting and feeling that eating behavior is out of control is a binge eating disorder and a binge eating is when you eat a lot of snacks but u know how to control how much to eat.

Step-by-step explanation:

i forgot to make it an answer my bad

can someone help me with this?

can someone help me with this?

Answers

Answer:

204 in²

Given:

Base: 17 inch

Height: 24 inch

Area of Triangle:

1/2 * Base * Height

1/2 * 17 * 24

1/2 * 408

204 in²

You are designing a simulation for which day of the week people are born. You assign numbers
to each day of the week from, Sunday = 0 through Saturday = 6. You decide to use a sample
size of 20.
Use the random number table to conduct your first trial, working from left to right.
39017 66124 37046 59285 15208 47185 76426 23648
51239 88346 59268 71307 37420 69307 98648 45960
Which chart matches the results from your first trial?

Answers

Answer:

The chart should have the pattern 3332333

Step-by-step explanation:

An architect created four different designs for a theater’s seating as shown in the table below.

The table is titled Theater Seating. The table has three columns and four rows. The first column is labeled Design, the second column is labeled Number of Rows, and the third column is labeled Number of Seats. A, fourteen rows, one hundred ninety-six seats. B, twenty rows, two hundred twenty seats. C, eighteen rows, two hundred thirty-four seats. D, twenty-five rows, three hundred seats.

If the length of each row is the same in each design, which design has the greatest ratio of the number of seats per row?

Answers

Design A has the highest seating efficiency in terms of maximizing the number of seats per row. the correct answer is design A.

To determine which design has the greatest ratio of the number of seats per row, we need to calculate the ratio for each design.

The ratio of the number of seats per row is obtained by dividing the total number of seats by the number of rows in each design.

For design A:

Number of rows = 14

Number of seats = 196

Seats per row = 196 / 14 = 14

For design B:

Number of rows = 20

Number of seats = 220

Seats per row = 220 / 20 = 11

For design C:

Number of rows = 18

Number of seats = 234

Seats per row = 234 / 18 = 13

For design D:

Number of rows = 25

Number of seats = 300

Seats per row = 300 / 25 = 12

Comparing the ratios, we find that design A has the greatest ratio of the number of seats per row with a value of 14. Therefore, design A has the highest seating efficiency in terms of maximizing the number of seats per row.

Thus, the correct answer is design A.

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Converting Real Life Scale.. -Page 2-
NEED HELP ASAPPP 50 POINTS

(picture is linked belowww)


tysm like fr <33

Converting Real Life Scale.. -Page 2-NEED HELP ASAPPP 50 POINTS(picture is linked belowww)tysm like fr

Answers

The table with the scale measurements is given by the image shown at the end of the answer.

How to obtain the measurements?

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

': feet.'': inches.

For the first table, we have that every inch on the table represents one feet in real life, hence:

2'' on the paper represents 2' in real life.2' on the paper represents 24' in real life. (as one feet = 12 inches, hence 24 inches = 24 feet according to the scale).0.5'' on the paper represents 0.5' in real life.9'' on the paper represents 9' in real life.

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

2'' on the paper represents 4' in real life.2' on the paper represents 48' in real life.0.5'' on the paper represents 1' in real life.9'' on the paper represents 18' in real life.

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Converting Real Life Scale.. -Page 2-NEED HELP ASAPPP 50 POINTS(picture is linked belowww)tysm like fr

a. 2 - 4 x 6 + 8 + 2 =
b. 6 + 2 x 4 - 8 + 10 =

Answers

The answer would be

A.) ~-12~

because 2-24=-22 -22+8+2=-12  

B.)~16~

because 6+8-8+10 and -8+8=0 so 6+10=16

Hope this helps

Have a great day/night

Feel free to ask any questions

let f ( x ) = ∫ x 2 0 ( sin t ) d t . at how many points in the closed interval [ 0 , √ π ] does the instantaneous rate of change of f equal the average rate of change of f on that interval

Answers

The instantaneous rate of change of f equals the average rate of change of f at 2 points in the closed interval [0, √π]: x = 0.673 and x = 1.325.

How did we get the values?

To find the points in the closed interval where the instantaneous rate of change of f equals the average rate of change of f, we need to set up the equation for the derivative of f and the formula for the average rate of change of f on the interval.

First, we can evaluate the integral to get:

f(x) = ∫x^2 0 (sin t) dt = 1 - cos x^2

Next, we can find the derivative of f:

f'(x) = sin x^2 * 2x

To find the average rate of change of f on the interval [0, √π], we can use the formula:

Average rate of change of f = [f(√π) - f(0)] / (√π - 0)

= [1 - cos π] / √π

= 2 / √π

Now, we can set up the equation:

f'(x) = 2 / √π

sin x^2 * 2x = 2 / √π

sin x^2 = 1 / (√π x)

We can solve for x numerically using a graphing calculator or computer software. The solutions are approximately x = 0.673 and x = 1.325. Since these solutions are within the interval [0, √π], they are valid solutions.

Therefore, the instantaneous rate of change of f equals the average rate of change of f at 2 points in the closed interval [0, √π]: x = 0.673 and x = 1.325.

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a gardener has 322 tulip bulbs she wants to plant rows of 15 bulbs how many bulbs can be planted how many bulbs will she have left over​

Answers

Answer:315 bulbs planted and 7 left over

Step-by-step explanation:322/15 = 21.44

Roughly around 21 rows.

21 x 15 = 315 bulbs planted

322 - 315 = 7 bulbs left over

the points on the graph below show the total cost for different numbers of tickets to a concert. as shown, 1 ticket costs $20, 2 tickets cost $40, 3 tickets cost $60, and 4 tickets cost $80. what is the slope of the dashed line on the graph? responses 120 1 20 1 20 12 1 2 1 2 2 2 20

Answers

The slope of the dashed line on the graph is 1 (rise/run). This can be determined by dividing the difference in the cost of tickets (20) by the difference in the number of tickets (1).

The slope of the dashed line on the graph is 1. To determine the slope, you need to divide the rise (difference in the cost of tickets) by the run (difference in the number of tickets). In this case, the difference in the cost of tickets is 20 (from $20 for 1 ticket to $40 for 2 tickets). The difference in the number of tickets is 1 (from 1 ticket to 2 tickets). Therefore, the slope of the dashed line on the graph is 1 (20/1). This means that the cost of tickets increases by $20 for every additional ticket purchased. For example, if you purchase 3 tickets, the total cost will be $60 (3 tickets x $20 = $60). If you purchase 4 tickets, the total cost will be $80 (4 tickets x $20 = $80).

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please help me. I have a mock tomorrow:/

please help me. I have a mock tomorrow:/

Answers

Answer:

Angle DAC and EAB are the same. (Shared Angle)

Angle AEB and ADC are the same. (Corresponding Angle)

Angle EBA and DCA are the same. (Corresponding Angle)

Since all three angles of triangle ABE is the same as triangle ACD, they are similar.

Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. How many $9$'s do we have to add to make the expected value equal to $6$

Answers

Value of the given statement:

4.365638What is Probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

According to the given information:

1) There are a total of 10 slips after adding.

8 slip with 3 on it

2 slips with 9  on it

 value = Probability of 3 x 3 plus Probability of 9 x 9.

=  (8 / 11)  x 3 + (2/ 11)  x 9

24 / 11 + 24 / 11 = 4.36

2 )No of total slips after addition = 12

8 slip with 3 on it

4 slips with 9  on it

 value = Probability of 3 x 3 plus Probability of 9 x 9.

=  (8 / 12)  x 3 + (4 / 12)  x 9

2 + 3 = 5

3 )Let n be the required number

No of total slips after addition = 10+n

8 slip with 3 on it

2 + n  slips with 9  on it

value = Probability of 3 x 3 plus Probability of 9 x 9.

=  (8 / 10+n )  x 3 + (2+n  / 10+n )  x 9 = 6

24 + 18 + 9n / 10 + n  = 6

42 + 9n = 60 + 6n

3 n = 18

n = 6

4 )Let n be the required number

No of total slips after addition = 10+n

8 slip with 3 on it

2 + n  slips with 9  on it

expectation value = probability of 3 x 3 + probability of 9 x 9

=  (8 / 10+n )  x 3 + (2+n  / 10+n )  x 9 = 8

24 + 18 + 9n / 10 + n  = 8

42 + 9n = 80 + 8n

n = 38

Minimum of 38 has to be added .

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I understand that the question you are looking for is:

1:Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. What is the expected value of the number shown if we add one additional $9$ to the bag? 2:Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. What is the expected value of the number shown if we add two additional $9$'s (instead of just one) to the bag? 3:Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. How many $9$'s do we have to add to make the expected value equal to $6$? 4:Suppose we have a bag with $10$ slips of paper in it. Eight slips have a $3$ on them and the other two have a $9$ on them. How many $9$'s do I have to add before the expected value is at least $8$?

A guacamole recipe calls for 28 ounces of peeled and seeded avocadoes. The total cost of the tomatoes is $_____ if the as-purchased unit cost of Avocado's is $1.21 per pound and the yield percentage is 72%.

Answers

The total cost of seeded avocadoes is $1.52 (approx).

Given data:

As-purchased unit cost of avocado = $1.21 per pound

Yield percentage = 72%

Convert the given quantity of avocadoes into pounds.

1 ounce = 1/16 pounds28 ounces = (28/16) pounds= 1.75 pounds

Find out the cost of 1 pound of avocado

As per the given data, the as-purchased unit cost of Avocado's is $1.21 per pound.

Find out the cost of 1.75 pounds of avocado= (1.75 x 1.21) dollars= $2.1175.

Calculate the yield amount.

After calculating the yield percentage, we can find the amount of avocado we can use after we remove the peel and seed.

Yield amount = (yield percentage × amount as purchased)/100Yield amount

= (72 × 1.75) / 100= 1.26 pounds.

Find out the cost of yield amount

Cost of yield amount = (cost of 1.75 pounds of avocado × yield amount)/1.75

Cost of yield amount = ($2.1175 × 1.26) / 1.75

Cost of yield amount = $1.5246

Hence, the total cost of 28 ounces of peeled and seeded avocadoes is $1.52 (approx).

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Please due in 20 min I’ll mark as brainliest or extra points please and no links pleaseee!!!

Val is going to plant y vegetable soods in one garden and 4y + 7 vegetable seeds in another. How
many seeds is Val going to plant?
CD
Val is going to plant seeds.
(Simplify your answer)

Answers

Answer:

5y + 7

Step-by-step explanation:

Given:

Seeds planted in one garden = y vegetable seeds

Seeds planted in another garden =  4y + 7 vegetable seeds

To Find:

The number of seeds Val is going to plant = ?

Solution:

Let the total number of seeds that Val is going to plant be x.

Then

x =  number of seeds planted in garden one +  number of seeds planted in the other garden

Now substitute the values, we get

x = y + (4y+7)

x = 5y + 7

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please

Answers

Answer:

11.2 mi

Step-by-step explanation:

1. We can use the Pythagorean Theorem (a^2 + b^2 = c^2) to find the missing leg, b, of the triangle.

\(9^2 + b^2 = 14.4^2\)

2. (Solving)

Step 1: Simplify both sides of the equation.

\((9*9)+b^2 = 14.4 * 14.14\) \(81 + b^2 = 207.36\)  \(b^2 + 81 = 207.36\)

Step 2: Subtract 81 from both sides.

\(b^2 + 81 - 81 = 207.36-81\) \(b^2 = 126.36\)

Step 3: Take the square root of both sides and round to the nearest tenth.

\(\sqrt{b^2} = \sqrt{126.36}\) \(b = \sqrt{126.36}\) b ≈ 11.2

Therefore, x = 11.2 mi.

>> Answer

___________

\( \: \)

\(\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}\)

Step by step :

x² = (14,4)² - (9)²

x² = 207,36 - 81

x² = 126,36

x = 11,2mi✔

can yall help me please wiil give brainliest

can yall help me please wiil give brainliest

Answers

Answer:

Mass

Step-by-step explanation:

When data are positively skewed, the mean will usually be:a) equal to the median.b) positive.c) smaller than the median.d) greater than the median.

Answers

When data are positively skewed, the mean will usually be:d) greater than the median.

Meaning of Median

The median is the value in the middle of the value series which is arranged using data in order from the smallest to the largest, for example in a series of 3, 4, 7 the median is 4.

The median is the value that can divide the data into two equal parts. With a note, that the data must be sorted first from the smallest to the largest.

In addition, the median can also be used to determine the average of a data set, but it cannot be equated with the mean.

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A square prism and a cylinder have the same height. The area of the cross-section of the square prism is 157 square units, and the area of the cross-section of the cylinder is 50m
square units. Based on this information, which argument can be made?
The volume of the square prism is
the volume of the cylinder.
The volume of the square prism is half the volume of the cylinder.
The volume of the square prism is equal to the volume of the cylinder.
The volume of the square prism is twice the volume of the cylinder.

Answers

Answer:

The volume of the sqaure prism is eqaul to the volume of the cylinder.

Answer: B

Step-by-step explanation:

A player kicks a football off the ground so that if travels with a velocity of 32 miles per hour at an angle of 34° with the ground. Find the magnitude of the horizontal and vertical components.

Answers

As a result, the horizontal component of velocity has a magnitude of 11.8 m/s\ while the vertical component of velocity has a value of 8.0 m/s.

What is velocity?

The pace at which an item changes its position is described by a vector quantity called velocity. It is described as the rate at which displacement changes in relation to time The amount and direction of velocity are both present. Speed refers to the velocity's magnitude.

The football's velocity in this scenario is 32 miles per hour, or around 14.3 meters per second.

We can use trigonometry to determine the sizes of a velocity vector's horizontal and vertical components.

Vₓ = V cos (theta), where V is the magnitude of the velocity vector and theta is the angle that the velocity vector makes with the horizontal axis, gives the horizontal component of velocity.

Vy = V sin (theta), where V is the magnitude of the velocity vector and theta is the angle that the velocity vector makes with the horizontal axis, gives the vertical component of velocity.

In this instance, we are aware of the football's velocity, which is 32 miles per hour, or around 14.3 meters per second6. It makes a 34 degree 6 angle with the ground.

Therefore,

Vₓ= V cos (theta) * cos (34 degrees) = 14.3 m/s * 11.8 m/s

Vy = V sin (theta) * sin (34 degrees) = 14.3 m/s * 8.0 m/s

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2.) Write the standard number 0.00007396
in scientific notation.

A 7.396 x 10-3
B 7.396 x 10-7
C 7.396 x 10-4
D7.396 x 10-5

Answers

Answer:

7.396 × 10-5

Step-by-step explanation:

To convert 0.00007396 into scientific notation, follow these steps:

Move the decimal 5 times to right in the number so that the resulting number, m = 7.396, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -5

Write in the scientific notation form, m × 10n

= 7.396 × 10-5

Answer:D

0.00007395999999999999 7.396x10-5 7.396e-5 7.396 x 10-5

What is the distance from Point A to Point B? Round your answer to the nearest tenth if necessary.
(Hint: sketch a right triangle and use the Pythagorean theorem.)

What is the distance from Point A to Point B? Round your answer to the nearest tenth if necessary.(Hint:

Answers

Answer:

the ans is 6.4

Step-by-step explanation:

using the distance formula

d^2= (x2-x1)^2 + (y2-y1)^2

d^2= (8-4)^2 + (8-3)^2

d^2= (4)^2 + (5)^2

d^2= 16+ 25

d^2= 41

d= sqrt of 41*

d= 6.4units

Find the exact solution of the initial value problem. Indicate the interval of existence:
y′ = (1+y2) , y(0) = 1

Answers

The exact solution to the initial value problem\(y′= (1+y^2), y(0) = 1 is y + (1/3)y^3 = x + 4/3,\) with an interval of existence of (-∞, ∞).

The given initial value problem is y′ = \((1+y^2),\) with the initial condition y(0) = 1.

To find the exact solution, we can use separation of variables.

1. Start by separating the variables:

\((1+y^2)dy = dx\)

2. Integrate both sides with respect to their respective variables:

∫\((1+y^2)dy\) = ∫dx

3. Integrate the left side:

\(y + (1/3)y^3 = x + C\)

where C is the constant of integration.

4. Substitute the initial condition y(0) = 1:

\(1 + (1/3)(1)^3 = 0 + C\)
1 + (1/3) = C

C = 4/3

5. Substitute the value of C back into the equation:

\(y + (1/3)y^3 = x + 4/3\)

This is the exact solution to the initial value problem.

The interval of existence is determined by the domain of the solution. In this case, the solution is valid for all real numbers, so the interval of existence is (-∞, ∞).

In summary, the exact solution to the initial value problem y′ \(= (1+y^2), y(0) = 1 is y + (1/3)y^3 = x + 4/3,\)with an interval of existence of (-∞, ∞).

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The gravitational potential energy of an object is given by the formula P = mgh.

Which equation is correctly solved for the height, h?

h = P + mg
h = P - mg
h = P/mg
h = Pmg

Answers

Answer:

c

Step-by-step explanation:

....................

Please I need help with this. ANYONE!!

Please I need help with this. ANYONE!!

Answers

Answer:

x=17  z=69

Step-by-step explanation:

5x-16 + 9x-42 = 180 (straight line = 180 degrees)

Add like terms

14x - 58 = 180

\(\frac{14x}{14}=\frac{238}{14}\)

x = 17

Plug x back in

5x - 16 = z (angles are equal)

5(17) - 16 = z

85 - 16 = z

z = 69

find the radius of convergence, r, of the series. [infinity] n = 1 xn n46n

Answers

The radius of convergence, r, of the series. [infinity] n = 1 xn n46n is 1 as the series is convergent for |x|<1.

Therefore, the radius of convergence, r, of the series is 1.

It's important to note that the interval of convergence may include the endpoints or be open at one or both ends, depending on the behavior of the series at those points.

Determining the behavior at the endpoints requires additional analysis, often involving separate convergence tests.

Overall, the radius of convergence provides valuable information about the interval for which a power series converges, helping to establish the domain of validity for the series expansion of a function.

The given series is:

∑n=1∞xn/n46n

To find the radius of convergence of the given series, we need to use the Ratio Test as follows:

limn→∞|xn+1xn|= limn→∞|x| n46(n+1)46= |x|

limn→∞1(1+1n)46=|x|

Hence, the given series is absolutely convergent for|x|<1.

As the series is convergent for |x|<1, the radius of convergence is 1.

Therefore, the radius of convergence, r, of the series is 1.

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The results of a student transportation survey are shown in the table.

Boys Girls

Bus 35 23

Bike 7 5

Walk) 3 7

Enter the number of girls in a population of 320 students that would ride the bus.

Answers

In a population of 320 students, approximately 128 girls would ride the bus based on the survey results.

Based on the given survey results, the total number of girls who ride the bus is 23. The proportion of girls who ride the bus can be calculated as:

23 girls / (35 boys + 23 girls) = 0.3966 or approximately 0.4

To find the number of girls who would ride the bus in a population of 320 students, we can set up a proportion:

0.4 = number of girls who ride the bus / 320 total students

Solving for the number of girls who ride the bus:

number of girls who ride the bus = 0.4 * 320 = 128 girls

Therefore, in a population of 320 students, approximately 128 girls would ride the bus based on the survey results.

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Round this number to the
nearest hundredth.
0.7456

Answers

Answer:

0.75

Step-by-step explanation:

it goes tenths hundredths thousandths....

Answer:

0.75

Step-by-step explanation:

4 is the hundredth in this number. The number after 4 is 5. The rule is if its 5 and over you round up and if not, you round down. In this case the number is 5 so we round up. So the number becomes 0.75 instead of 0.74

Sheri's house is 0.05 miles from Abdul's house. The post office is 0.1 mile from Abdul’s house. The school is 38mile from the post office.
If Sheri stops at Abdul’s house and the post office on her way to school, how far will Sheri walk in all?

Answers

Just add all the distances I think

Answer:

233

Step-by-step explanation:

if x and y are the tens digit and the units digit, respectively, of the product 725,278x67,066, what is the value of x+y?

Answers

Answer:

To find the tens and units digit of the product, we only need to focus on the last two digits of the product.

First, we multiply 8 x 6, which gives us 48. So the units digit is 8 and we carry-over the 4 to the tens digit.

Next, we multiply 7 x 6, which gives us 42. We add the carry-over 4, which gives us 46. So the tens digit is 6 and we carry-over the 4.

Continuing with the multiplication, we get:

6 x 0 = 0 (no carry-over)

6 x 7 = 42 (carry-over 4)

6 x 2 = 12 (carry-over 1)

Adding the carry-over, we get:

4 + 4 + 1 = 9

Therefore, x+y= 8 + 6 = 14

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Evaluate the expression (4p - m) where m=-4 and p=2Show the work plz. The function g is given in three equivalent forms.which form most quickly reveals the y-intercept?Choose 1 answer:A. G(x)=1/2(x-8)^2-8B. G(x)=1/2x^2-8x+24C. G(x)=1/2(x-12)(x-4)Part 2What is the y intercept?Y-intercept=(0, ?) 3.) Graph the function on the coordinate plane below(can you actually draw on the graph given please) How is Shariah in modern Iran and modern Saudi Arabia diffrent? The Seneca Falls Convention in New York was meant to address the issue of. Question 11 options: Mental Health Temperance Movement Women's Rights Abolition of Slavery. 5. Which is not an example of a third party?a. Reform partyb. Green partyC. Constitution partyd Blue party Given f(x) = 5x^4 x^2 + 6x 1. What is Limit of f (x) as x approaches negative 1? (c) Taking the Friedmann equation without the Cosmological Con- stant: kc2 ? a2 8AGP 3 a2 and a Hubble constant of 70 km/s/Mpc, determine the critical den- sity of the Universe at present, on the as Please in your words and thoughtsWhat have you heard about Medicare? Are you paying attention toany of the changes that are being talked about by politicians? Whyshould you care? please answer fast i dont get it A strong midlatitude cyclone that forms off the eastern seaboard of North America during the fall winter and spring and bring heavy rain, snow and sleet is called ahurricanetornadoNor'easterbackdoor cold front Less than four months into 2022, the US stock markets recorded its worst monthly performance since the dramatic stock market crash in early 2020 due to a COVID-19 outbreak. In particular, S&P500 was down about 8.8% while the Nasdaq Composite fell 13.3%. Still, the April Market weakness has investors concerned about the prospect of a much deeper market crash just around the corner (Forbes Advisor, 2022)One of your long-term clients, Mr Liam Mason, constructed a stock portfolio on 21st June 2021 and intended to sell the portfolio on 6th May 2022. His portfolio consists of any four U.S. stocks (among nine stocks listed in Exhibit 1) plus NexTier Oilfield Solutions, Inc. (NEX) stock. With the intense market volatility and his biggest concerns revolving around inflation, and geopolitical tensions exacerbated by Russias invasion of Ukraine, Mr Liam worried that U.S stock market would fall deeper in the near future. However, assuming he was confident that the stocks in his portfolio would outperform the market. Therefore, on 3rd February 2022, he asked you to set up a hedge against his portfolios market risk using CME E-Mini S&P500 index futures. He expected the hedge to be in effect at the close of trading on 3rd February 2022. The futures contract prices are presented in Exhibit 2, while the contract size of all futures is $USD50 per index point.This task aims to investigate how index futures can be used to reduce the market risk from holding the stock portfolio. In particular, you need to propose:a) Which futures contract your client should use (i.e. June 2022, September 2022 or December 2022 E-Mini S&P500 index futures). Justify your choice.b) The number of futures contracts for the hedge and report the position in futures contracts to be taken, in order to reduce the beta of Mr Liams stock portfolio to 0.2. Find the volume. Round to the nearest tenth if necessary Question 1 (Multiple Choice Worth 2 points)(Evaluating Algebraic Expressions LC)If w = 24, what is the value of 2w - 18? Discuss, in detail , the role of World Trade Organization (WTO)in executing the Port ( Privatization ) Act 1990. Q. In a recent release of economic indicators, personal income rose for the first time in nine months. An analyst will most likely conclude that the economy in the immediate future should be:weaker.stronger.unaffected. management needs to be prepared to deal with problems and seize opportunities as they arise. a company often identifies alternative courses of action to be taken if events undercut a strategic or tactical plan. these are called In what ways did developed states respond to the global financial crisis of 2008 and how effective have these responses been?Can write 1000 wrds of summary. Thank you Your audit firm has recently accepted a new client, Crafts PLC, a manufacturer of building materials (cement, mortar and bricks). The company has experienced rapid growth in the last three years. The company's financial year ends on 31 st December. Crafts PLC has yet to have its financial statements audited since the company has recently changed from a limited liability partnership to a PLC. Given the soaring demand for the building materials, the Crafts PLC requires high levels of inventory. This has led the company to request an increase in its bank overdraft facility. The company's financial analysts and bankers have suggested that an external audit is performed on Crafts PLC's financial statements for the year ending 31 st December 2021. The company's bankers have requested that an audit is undertaken on the financial On 31st December, Crafts PLC's inventory includes raw materials, work-in-progress and finished goods. Crafts PLC does not perform perpetual inventory counting. However, it does conduct a full inventory count but does intend to perform a full inventory count on 31 st December. Crafts PLC employs a standard costing system to calculate work in progress and finished goods. Required (a) Carefully examine the objectives of the audit planning stage, with emphasis on areas that will aid the auditor in gaining a comprehensive knowledge and understanding of the business? When the ego cannot solve problems directly, it uses ____________ as a technique to defend against anxiety and maintain self-esteem