Can someone help me with this one too

Can Someone Help Me With This One Too

Answers

Answer 1

Answer:

A. [tex] 3 {}^{9} [/tex]

Step-by-step explanation:

[tex]3 {}^{4} \times {3}^{5} = {3}^{4 + 5} = 3 {}^{9} [/tex]

Hope this helps ;) ❤❤❤

Answer 2

Answer:

[tex]\boxed{3^9}[/tex]

Step-by-step explanation:

[tex]3^5 \times 3^4[/tex]

Apply the law of exponents : [tex]a^b \times a^c = a^{b+c}[/tex]

The exponent product rule states that, when multiplying two exponents that have the same base, you can add the exponents.

[tex]3^{5+4}[/tex]

[tex]3^9[/tex]


Related Questions

Determine whether the data set is a population or a sample. Explain your reasoning. The temperature in four state capitals out of 50 Choose the correct answer below. A. ​Population, because it is a collection of temperatures for all of the state nbspcapitals. B. ​Sample, because it is a collection of temperatures for all of the state nbspcapitals comma but there are other countries. C. ​Sample, because the collection of temperatures for four state capitals is a subset of all state capitals. D. ​Population, because it is a subset of all state capitals.

Answers

Answer:

The correct answer is C. ​Sample, because the collection of temperatures for four state capitals is a subset of all state capitals.

Step-by-step explanation:

we cannot fully understand this answer without first defining the parameters that are involved in the questions, the two key terms are; Population or sample.

Population: a population contains all the set of data which is in consideration and

Sample: Sample is the range of values in an experiment.

The main difference between a population :A population basically includes all  the elements from a set of data while  a sample only consists of  one or more observations drawn from the population.

we can say safely that a sample is a subset of a population.

Since we it have been stated that the temperatures of from four states capitals out of 50 states then our explanation supports our answer.

What is the solution to the system of equations?
2/3x - 1/3y = -2
-2x + y = -6

There is no solution.
There are infinitely many solutions.
There is only one solution, (2, –2).
There is only one solution, (–2, –10).

Answers

Answer:

There is no solution.

Rewrite -2x + y = -6 so it starts with y =...

y = 2x - 6

Substitute that in 2/3x - 1/3y = -2 gives:

2/3x - 1/3*(2x -6) = -2

2/3x - 2/3x + 2 = -2

0 + 2 = -2

This statement is not true, and that means there is no solution.

need help A S A P NOWWWWW

Answers

Answer:

x = 73

Step-by-step explanation:

The measure of the sum of the arcs in a circle = 360°.

Sum the given arc measures and equate to 360, that is

95 + 52 + 67 + 2x = 360

214 + 2x = 360 ( subtract 214 from both sides )

2x = 146 ( divide both sides by 2 )

x = 73

Find SP when CP=Rs.400 and proft%=4%

Answers

Answer:

[tex]\boxed{Selling\ Price = Rs.\ 424}[/tex]

Step-by-step explanation:

Cost Price = Rs. 400

Profit = 4 % of Cost Price

=> [tex]\frac{4}{100} * 600[/tex]

=> 4 * 6

=> Profit = Rs. 24

Now, Selling Price = Cost Price + Profit

Selling Price = 400+24

Selling Price = Rs. 424

Answer:

Selling price = ₹ 416

Step-by-step explanation:

Cost Price = ₹ 400

Profit% = 4 %

Profit  =  4 % of  cost price

          = [tex]\frac{4}{100}*400\\\\[/tex]

          = 4 * 4

          = ₹ 16

Selling price = Cost price + profit

                    = 400 + 16

                    = ₹ 416

Text: these two triangles are similar

Values from left to right: 10, 12, 9

What is the area of the shaded area

Answers

Answer:

26.25 cm²

Step-by-step explanation:

The area of the shaded part is the area of the shaded triangle subtract the area of the white triangle.

Since the triangles are similar then the ratios of corresponding sides are equal.

let the height of the white triangle be h, then

[tex]\frac{12}{9}[/tex] = [tex]\frac{10}{h}[/tex] ( cross- multiply )

12h = 90 ( divide both sides by 12 )

h = 7.5

shaded area = [tex]\frac{1}{2}[/tex] × 12 × 10 - [tex]\frac{1}{2}[/tex] × 9 × 7.5 = 60 - 33.75 = 26.25 cm²

PLEASE help me...! I am really stuck on this question.

Answers

Answer:

D

Step-by-step explanation:

the domain of 3^x  is (-∞,∞) and the range is (0,∞)

the domain of 3^x-5 is (-∞,∞) and the range is (-5,∞)

the domain doesn't change, the range (-5,∞)

A village P is 10km from a lorry station,Q on a bearing 065°.another village R is 8km from Q on a bearing 155°.calculate; a.the distance of R from P to the nearest kilometer and b.the bearing of R from P to the nearest degree.

Answers

Answer:

RP = 12.8 km

38 degrees

Step-by-step explanation:

RP = [tex]\sqrt{8^{2} + 10\\^{2} } \\[/tex]

RP = 12.8 km

angle = Inv sin = 8/12.8

angle 38.7°

Oscar says to Vanesa: "I am five times the age you were when I was the age you are; and when you are the age I am, our ages will add up to 72 years." How old is Vanessa? Please

Answers

Answer:

Vanessa is 60 and the other person is 12

Step-by-step explanation:

X + 5x = 72

6x = 72

x = 12

12 x 5 = 60

vanessa is 60

the other person is 12

60 + 12 = 72

Answer:

18

Step-by-step explanation:

Let's say x is Oscar's age, and y is Vanessa's age.

When Oscar was Vanessa's age, Vanessa was y−(x−y) = 2y−x years old.  Oscar is five times older than this:

x = 5 (2y − x)

x = 10y − 5x

6x = 10y

3x = 5y

When Vanessa is Oscar's age, Oscar will be x+(x−y) = 2x−y years old.  The sum of their ages will by 72.

2x−y + x = 72

3x − y = 72

Substituting:

5y − y = 72

4y = 72

y = 18

Vanessa is 18.  Which means Oscar is 30.

Let's check our answer.  When Oscar was 18, Vanessa was 6.  Oscar is 5 times older than that (30).  When Vanessa is 30, Oscar will be 42, and their ages will add up to 72.

Identify the true statement about a curvilinear relationship. Multiple Choice The variables vary independently of one another. The relationship results in a flat line when graphed. The relationship is sometimes referred to as a monotonic function. The direction of the relationship changes at least once.

Answers

Answer:

The direction of relationship changes at least once.

Step-by-step explanation:

Curvilinear relationship is a relationship between two variables where if one variable increases the other variable also increases but up to certain point after which one variable increases and other decreases. This type of relationship is referred as non monotonic function.

Paige launched a ball using a catapult she built. The height of the ball (in meters above the ground) ttt seconds after launch is modeled by h(t)=-5t^2+40th(t)=−5t 2 +40th, left parenthesis, t, right parenthesis, equals, minus, 5, t, squared, plus, 40, t Paige wants to know when the ball will hit the ground. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation. h(t)=h(t)=h, left parenthesis, t, right parenthesis, equals 2) How many seconds after launch does the ball hit the ground? seconds

Answers

Answer:

1) Factor form : [tex]h(t)=-5t(t-8)[/tex]

2) 8 second after launch.

Step-by-step explanation:

The height of the ball (in meters above the ground) t seconds after launch is modeled by

[tex]h(t)=-5t^2+40t[/tex]

To find the time when ball hit the ground, we need to find the factor form of the given function.

[tex]h(t)=-5t(t-8)[/tex]

When ball hi the ground, then height of the ball from the ground is 0.

[tex]h(t)=0[/tex]

[tex]-5t(t-8)=0[/tex]

Using zero product property, we get

[tex]-5t=0\Rightarrow t=0[/tex]

[tex]t-8=0\Rightarrow t=8[/tex]

Ball hit the ground at t=0 and t=8. It means ball hit the ground in starting and 8 second after launch.

Answer:

-5t(t - 8) and it hit 8 seconds after launch.

What is the 52nd term of -11,-2,7,16,25,34

Answers

Answer:

448

Step-by-step explanation:

Formula

tn = a + (n - 1)d

Givens

a = - 11

n = 52

d = 9

Solution

t52 = -11 + (51)*9

t52 = - 11 + 459

t52 = 448

Issac surveyed the employees at the law firm each employee was asked to record their highest level of education completed. Two hundred sixty six woolens completed the survey . How many of those people completed graduate school?

Answers

Complete Question :

Isaac surveyed the employees at a law firm. Each employee was asked to record their highest level of education completed. The

results are shown in the table below.

Highest Level of Education Completed

Education Level

Percentage

High School

5%

Community College

10%

Four-Year College

60%

Graduate School

25%

Two-hundred sixty people completed the survey. How many of those people completed graduate school?

Answer:

65 people

Step-by-step explanation:

Given the following :

Number of survey participants = 260

Percentage that completed graduate school = 25%

Number of participants who completed graduate school ;

Total Number of participants × percentage that completed graduate school

260 participants × 25%

260 × 0.25

= 65

Answer:

65 people

Step-by-step explanation:

I took the test and that was the correct answer

11. John has a life insurance policy that will pay his family $32,000 per year if he dies. If interest rates are at 2.5% when the insurance company has to pay, what is the amount of the lump sum that the insurance company must put into a bank account?

Answers

Answer:

$1280000

Step-by-step explanation:

Given that :

John has a life insurance policy that will pay his family $32,000 per year if he dies

If interest rates are at 2.5% when the insurance company has to pay

The amount of the lump sum that the insurance company must out into a bank account can be determined by the division of the amount to be paid by the interest rate.

i.e

the amount of the lump sum = $32000/2.5%

the amount of the lump sum = $32000/0.025

the amount of the lump sum = $1280000

PLEASE SHOW YOUR WORK!!! ASAP best answer gets brainliest

Answers

Answer:

weak positive

Step-by-step explanation:

it is positive because it is going up to the right and weak because no points are together

How many natural 4-digit numbers exist in which all of the digits are even?

Answers

Answer:

256

Step-by-step explanation:

the first digit cannot be 0, so there are only 4 even numbers

For the second, third, and fourth digits, there are 5 available numbers.

Thus, the number of 4-digit numbers containing only even digits is 4 x 5 x 5 x 5 = 500

2nd place ( hundred place) can also be filled up by 4 number : 2, 4, 6, 8 and same logic applies to 3rd ( 10th ) and 4th( unit) .

so number of ways is 4*4*4*4= 256 ways .

The people who responded to a survey reported that they had either brown, green, blue, or hazel eyes. The results of the survey are shown in the table. A 2-column table has 4 rows. The first column is labeled Eye Color with entries brown, green, blue, hazel. The second column is labeled Number of People with entries 20, 6, 17, 7. What is the probability that a person chosen at random from this group has brown or green eyes? StartFraction 3 Over 25 EndFraction StartFraction 7 Over 25 EndFraction StartFraction 13 Over 25 EndFraction StartFraction 17 Over 25 EndFraction

Answers

Answer:

[tex]P(Brown\ or\ Green) = \frac{13}{25}[/tex]

Step-by-step explanation:

Given

[tex]n(Brown) = 20[/tex]

[tex]n(Green) = 6[/tex]

[tex]n(Blue) = 17[/tex]

[tex]n(Hazel) = 7[/tex]

Required

Determine the probability of Brown or Green eyes

First, the total number of respondents have to be calculated;

[tex]Total = 20 + 6 + 7 + 17[/tex]

[tex]Total = 50[/tex]

The events described above is a mutually exclusive event and as such, the required probability will be calculated by;

[tex]P(Brown\ or\ Green) = P(Brown) + P(Green)[/tex]

Calculating P(Brown)

[tex]P(Brown) = \frac{n(Brown)}{Total}[/tex]

Substitute 20 for n(Brown) and 50 for Total

[tex]P(Brown) = \frac{20}{50}[/tex]

Calculating P(Green)

[tex]P(Green) = \frac{n(Green)}{Total}[/tex]

Substitute 6 for n(Green) and 50 for Total

[tex]P(Green) = \frac{6}{50}[/tex]

So;

[tex]P(Brown\ or\ Green) = P(Brown) + P(Green)[/tex]

[tex]P(Brown\ or\ Green) = \frac{20}{50} + \frac{6}{20}[/tex]

Take LCM

[tex]P(Brown\ or\ Green) = \frac{20+6}{50}[/tex]

[tex]P(Brown\ or\ Green) = \frac{26}{50}[/tex]

Divide the numerator and denominator by 2

[tex]P(Brown\ or\ Green) = \frac{13}{25}[/tex]

Answer:

13/25

Step-by-step explanation:

Total number of people = 50

Probability of choosing a person with brown eyes [P(A)] = 20/50

Probability of choosing a person with green eyes [P(B)] = 6/50

Using the addition rule of mutual exclusive events (since they have specified brown OR blue, we use this formula):

P(A U B) = P(A) + P(B)

=> P(A U B) = 20/50 + 6/50 = 26/50 = 13/25

Therefore the probability of a person choosing a group that has brown or green eyes = 13/25

Also I got it right on edge haha, if you're still worried!!!!!!!!

Hope this helps :))))))))))))))

Someone plz Help its due now!!! In a histogram, if I have 0-2 does this count everything up to 2, or does this count 2?

Answers

Answer:

everything

Step-by-step explanation:

because in statistics we represent data in classes and you can't have a class of one number since the histogram a class has to have limits hope it helps

What is the real interest rate if the nominal interest rate is 1 when the rate of inflation is 2

Answers

Answer:

Real interest rate = -1%

Step-by-step explanation:

Real interest rate=Nominal interest rate - inflation rate

From the above,

Nominal interest rate=1%

Inflation rate=2%

Real interest rate=Nominal interest rate - inflation rate

=1% - 2%

= -1%

Real interest rate = -1%

Real interest rate shows you what it really costs borrowers to pay back their loans.

if the real interest rate is greater than zero, the amount you pay back is worth more in real terms than the money you borrowed.

if the real interest rate is below zero as in the above case, the amount you will pay back is less worth in real terms than the money you borrowed.

HELP MEEEEEEE please

Answers

Answer:

scale factor = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Consider the ratio of corresponding sides, image to original, that is

scale factor = [tex]\frac{T'V'}{TV}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]

The table below shows the students in an Algebra 1 class. What is the probability that a randomly chosen student will be a girl? (Note: If your fraction will reduce, you need to reduce it.)

Answers

18/30 = 3/5
This means there is a 3/5 chance that a randomly chosen student is a girl.

Please help ill rate 5 stars and give brainlyest​

Answers

Answer:

Option C.

Step-by-step explanation:

It is given that, a menu at a local diner has

Appetizers = 12

Entrees = 8

Choice of desserts = 4

We need to find the different meal combinations which are possible if you select one appetizer, one entree and one dessert form the menu.

Total ways to select an Appetizers = 12

Total ways to select an entrees = 8

Total ways to select a desserts = 4

Now,

Total combinations for different meal [tex]=12\times 8\times 4=384[/tex]

Therefore, the correct option is C.

Answer:

see below

Step-by-step explanation:

the answer is c

The measure of one base angle is an isosceles triangle is 20 degree. the measure of the largest angle in the triangle is

Answers

Answer:

140°

Step-by-step explanation:

Every triangles angles when combined equals 180°

In an isosceles triangle there are 2 acute angles and one obtuse angles.

It was given that the base angle/acute angle is 20°

This brings us to our equation. 20° + 20° + x = 180°

20 + 20 = 40

40 + x = 180

Now we solve algebraically:

180-40= 140

Therefore the answer is x = 140°

I hope this helps!

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

the trig function you would use to find x would be cosine becuase its adjacent/ hypotenuse.

solving it would give you 49 becuase its cosine(x)=13/20 and you have to multiply by the inverse of cosine

to solve for y you would use sine of y which would be opposite/ hypotenuse = 13/20

in the circle, m∠S=33°, mRS=120, and RU is a tangent. the diagram is not drawn to scale. what is m∠U? Please help!

Answers

Answer:

27°

Step-by-step explanation:

arc RT = 66

1/2(120 - 66) = 27

Answer:

∠ U = 27°

Step-by-step explanation:

The inscribed angle S is half the measure of its intercepted arc, thus

arc RT = 2 × ∠ U = 2 × 33³ = 66°

The secant- tangent angle U is half the measure of the difference of the measures of the intercepted arcs, that is

∠ U = 0.5( RS - RT) = 0.5(120 - 66)° = 0.5 ×54° = 27°

Rewrite y=x^2-8x+15 in vertex form. Then state whether the vertex is a maximum or a minimum and give it´s coordinates.

Answers

Answer:

[tex]\large \boxed{\sf \ \ y=(x-4)^2-1 \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex]y = x^2-8x+15\\ \\\text{*** we need to complete the square ***} \\ \\y=(x-4)^2-4^2+15=(x-4)^2-16+15=(x-4)^2-1[/tex]

And then the vertex is (4, -1) and as a > 0 the vertex is a minimum.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Rearrange this formula Α= πr2 for the area of a circle to solve for r in-terms of A.
What is the new formula?

Answers

Answer:

sqrt( A / pi ) =r

Step-by-step explanation:

Α= pi r^2

Divide each side by pi

A / pi = r^2

Take the square root of each side

sqrt( A / pi ) = sqrt(r^2)

sqrt( A / pi ) =r

Answer: A/2pi = r

all you have to do is single out the r to get the new equation

A collection of 108 coins containing only quarters and nickels is worth $21. A table titled Coin Collection showing Number of Coins, Value, and Total. The first row shows Nickels, and has n, 0.05, and 0.05 n. The second row shows, Quarters, and has q, 0.25, and 0.25 q. The third row shows total, and has not entries. Which value could replace q on the chart? 21 108 21 – n 108 – n

Answers

Answer:

q = 108-n

Step-by-step explanation:

Given: 108 coins containing only quarters and nickels

q = 108-n

since total number of coins is 108, and n= number of nickels

If you want to know how many of each kind of coin, read on:

First solve the number of quarters and nickels.

If all 108 coins are quarters, the value is 108*0.25 = $27

Since this value exceed the actual by 27-21 = $6,

we replace a number of quarters by nickels.

Each replacement will reduce the value by 25 - 5 = 20 cents = 0.2 dollars.

So it will take 6/0.2 = 30 replacements.

Therefore there are 108-35 = 78 quarters and 30 nickels.

The solution is : q = 108-n, is the value could replace q on the chart.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Given:

108 coins containing only quarters and nickels

q = 108-n

since total number of coins is 108, and n= number of nickels

If you want to know how many of each kind of coin, read on:

First solve the number of quarters and nickels.

If all 108 coins are quarters, the value is 108*0.25 = $27

Since this value exceed the actual by 27-21 = $6,

we replace a number of quarters by nickels.

Each replacement will reduce the value by 25 - 5 = 20 cents = 0.2 dollars.

So it will take 6/0.2 = 30 replacements.

Therefore there are 108-35 = 78 quarters and 30 nickels.

The solution is : q = 108-n, is the value could replace q on the chart.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ7

PLEASE HELP ASAPPPP!!!


Solve the right triangle given that mA =30°, mC = 90° and a = 15. Then round your result to ONE decimal place

Answers

Answer:

m∠B = 60°

b = 26 units

c = 30 units

Step-by-step explanation:

In a right triangle ACB,

By applying Sine rule,

[tex]\frac{\text{SinA}}{a}=\frac{\text{SinB}}{b}=\frac{SinC}{c}[/tex]

m∠A = 30°, m∠C = 90°

m∠A + m∠B + m∠C = 180°

30° + m∠B + 90° = 180°

m∠B = 180° - 120°

m∠B = 60°

Therefore, [tex]\frac{\text{Sin30}}{15}=\frac{\text{Sin90}}{c}=\frac{\text{Sin60}}{b}[/tex]

[tex]\frac{1}{30}=\frac{\text{Sin90}}{c}=\frac{\text{Sin60}}{b}[/tex]

[tex]\frac{1}{30} =\frac{1}{c}=\frac{\frac{\sqrt{3}}{2}}{b}[/tex]

[tex]\frac{1}{30}=\frac{1}{c}=\frac{\sqrt{3}}{2b}[/tex]

[tex]\frac{1}{30} =\frac{1}{c}[/tex] ⇒ c = 30 units

[tex]\frac{1}{30}=\frac{\sqrt{3}}{2b}[/tex]

b = 15√3

b = 25.98

b ≈ 26 units

I dont know how to solve this question using proportions:
212.7 = 16.8% of​

Answers

Answer:

17,725/14.

Step-by-step explanation:

Let's say that the blank is represented by x.

Since the question asks what is 16.8% of x, we can set up a proportion where 16.8 out of 100 is equivalent to 212.7 out of x. The 100 represents the "whole" number, which corresponds to x. The 212.7 IS the 16.8 of x.

[tex]\frac{16.8}{100} =\frac{212.7}{x}[/tex]

16.8 * x = 212.7 * 100

16.8x = 21,270

x = 21,270 / 16.8

x = 212,700 / 168

x = 17,725 / 14 = 1,266.071429

To check our work, 1,266.071429 * 0.168 = 212.7.

Hope this helps!

Can someone help fast please

Answers

Answer:

B

Step-by-step explanation:

Just reduce your x's and y's. The x^-1 cancels with the x^5, and the y^-9 and y^-3 get simplified. After some basic simplifying, you get answer B.

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That is, don't simply set min 1 and min2 to-2 and -5, which are the two smallest values, but rather write a program that implements the algorithm from the flowchart and correctly sets min1 and min2 before reaching the return (min1, min2)" statement.As before, you can test your program by clicking the "Run" button to the right of the code to see the results of any "print" statements, such as the one on line 10 which prints min1 and min2 before ending the function. However, please be sure that you do not modify the last two lines of the code block 1. def test(): # do not change this line! 2. list = [4, 5, 1, 9, -2, 0, 3, -5] # do not change this line! 3. min1 = list[0] 4. min2 = list[1] 5.6. #write your code here so that it sets 7. #min1 and min2 to the two smallest numbers 8. # be sure to indent your code! 9.10. print(min1, min2) 11. return (min1, min2) # do not change this line! 12. # do not write any code below here 13.14. test() # do not change this line! 15. # do not remove this line! Hints: The Python code for this algorithm is very similar to the pseudocode! Just be sure you are using the correct syntax. As in previous activities, don't forget that you can use the "print" function to print out intermediate values as your code is performing operations so that you can see what is happening You are given the following information on Parrothead Enterprises: Debt: 9,600 7.1 percent coupon bonds outstanding, with 24 years to maturity and a quoted price of 105.5. These bonds pay interest semiannually and have a par value of $1,000. Common stock: 255,000 shares of common stock selling for $65.10 per share. The stock has a beta of .96 and will pay a dividend of $3.30 next year. The dividend is expected to grow by 5.1 percent per year indefinitely. Preferred stock: 8,600 shares of 4.55 percent preferred stock selling at $94.60 per share. The par value is $100 per share. Market: 11.4 percent expected return, risk-free rate of 3.9 percent, and a 21 percent tax rate. Calculate the company's WACC. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) What would be some characteristics of a Cold War as opposed to a Hot War Draw a picture of the standard normal curve and shade the area that corresponds to the requested probabilities. Then use the standard normal table to find the following probabilities. Enter the probabilities as decimals. Enter the final answer only. 1.P(z>1.38)= 2.P(1.233 2.43)= 7.P(z>2.43)= Given: f(x) = x2, g(x) = x + 6, h(x) = 7Find f(g[h(x)]).5516926 A sample of oxygen gas has a volume of 45.8 mL when its pressure is 0.492 atm. Whatwill the volume of the gas be at a pressure of 0.954 atmospheres, if the temperatureremains constant?Select one:O a. 23.6Ob. 0.0102O c. 88.8O d. 0.0113 While sitting at your desk, you drop your pencil onto the floor. You bend over to pick up the pencil. In order to straighten up and continue your exam you must use which muscles? Once you have finished revising your peer's essay, continue to demonstrate your understanding of grammar andpunctuation by writing an essay containing all of the grammatical concepts outlined above. Your essay should be short,just 250 words, and it can be written on any subject. A gift package contains 6 wedges of cheese . If each wedges is 2/3 onuce what is the totel weight in pounds of cheese? 50. At a booth at the school carnival in past years, they've found that 32% of students win a stuffed toy ($3.25), 10% of students win a jumprope ($1.70), and 8% of students win a t-shirt ($7.80). The remaining students do not win a prize. If 200 students play the game at the booth, how much money should the carnival committee expect to pay for prizes for that booth A new machine will cost $25,000. The machine is expectedto last 4 years and have no salvage value. If the interest rate is 12%, determine the return and the risk associated with the purchase. The following projections have been made.Scenario 1 2 3probability 0.3 0.4 0.3annual savings $7000 $8500 $9500 An Administrator wants to make a list of all prospects who complete the Contact Us form but only wants them to be added the first time they complete the form. If a prospect is ever removed from the list, they shouldn't be able to get added back to it. What is the best way to create this type of list Which expression is equivalent to the expression below? StartFraction 6 c squared + 3 c Over negative 4 c + 2 EndFraction divided by StartFraction 2 c + 1 Over 4 c minus 2 EndFraction StartFraction 3 c (2 c minus 1) Over 2 c + 1 EndFraction StartFraction negative 3 c (2 c + 1) squared Over 4 (2 c minus 1) squared EndFraction 3c 3c In the line I stole the king's diamond, what word should the actor stress to create the interpretation that he/she is proud of this action? A.) Stole B.) Diamond C.) King's D.) I