PLEASE HELP!?!?!

a. c + 7 less than or equal to 3


b. c – 3 > 1


c. c – 7 < 3


Matching


Match the inequality to the graph of its solution.

PLEASE HELP!?!?!a. C + 7 Less Than Or Equal To 3b. C 3 &gt; 1c. C 7 &lt; 3MatchingMatch The Inequality

Answers

Answer 1
It’s b hope that helped have a great night

Related Questions

If (3m-5) is a factor of 9m^2 -9m -10, then which is the other factor

Answers

Answer:

(3m+2)

Step-by-step explanation: trust me I gotchu

Round 47.58051 to the nearest thousandths

Answers

Answer:

47.581

Step-by-step explanation:

can't explain I just know how to do it

The frequency table represents the job status of a number of high school students. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 12, 38, 50. The third column is labeled not looking for a job with entries 28, 72, 100. The fourth column is labeled total with entries 40, 110, 150. Which shows the conditional relative frequency table by column? A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.3, nearly equal to 0.33, 1.0. The third column is labeled not looking for job with entries 0.7, nearly equal to 0.65, 1.0. the fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column is blank with entries currently employed, not currently employed, total. The second column is labeled Looking for a job with entries 0.12, 0.38, 050. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.00. The fourth column is labeled total with entries 0.4, 1.1, 1.5. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.24, 0.76, 1.0. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 0.08, nearly equal to 0.25, nearly equal to 0.33. The third column is labeled not looking for a job with entries nearly equal to 0.19, 0.48, nearly equal to 0.67. The f

Answers

Answer:

C on edge

hope this helps

Step-by-step explanation:

The answer was C for me on Edg.

The frequency table represents the job status of a number of high school students. A 4-column table with

1. A target is divided into 100 squares colored in dark blue, white, and light blue. Amber throws a beanbag that lands on the target.
co
9 25
dark blue
What is the probability that it will land on a dark blue square?
26
white
light blue

1. A target is divided into 100 squares colored in dark blue, white, and light blue. Amber throws a beanbag

Answers

The probability of landing on the dark blue target is 2/5.

Finding probability

Probability is the ratio of required to the total possible outcomes of an event.

The required outcome = dark blue= 25Total possible outcomes= entire sample Space = 100

P(dark blue ) = 40/100

divide through by 20

P(dark blue ) = 2/5

Therefore, the probability of landing on target is 2/5

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h(x) = x² +1 k(x)=x-2
(h+k)(2) =
Will give Brainly

h(x) = x +1 k(x)=x-2(h+k)(2) =Will give Brainly

Answers

Answer:

(h + k) (2) = 5

Step-by-step explanation:

\(h(x) = x{^2} + 1 \space\ \space\ \space\ \space\ \space\ \space\ \space\ k(x) = x -2\\\\\)

(h + k) (x) = h(x) + k(x)

               = x² + 1  +  x - 2

               = x² + x -1

∴ (h + k) (2) = (2)² + 2 -1

                  = 5

What is 4 1/6 divided by 10 in simplest form

Answers

Answer:

5/12

Step-by-step explanation:

Make 4 1/6 into an improper fraction which would equal to 25/6

now in order to divide fractions, you have to make the whole number into a fraction by putting 1 underneath it= 10/1

now do K.C.F=Keep Change Flip

25/6 times 1/10= 25/60

you can simplify 25/60 to get a more simplified answer, 5 fits in both so 25 divided by 5 is 5 and 60 divided by 5 is 12 so your answer is

5/12

The solution to the expression is A = 5/12

Given data ,

Let the expression be represented as A

Now , the value of A is

Let the first fraction be represented as p

The value of p = 4 1/6

Let the second number be represented as q

The value of q = 10

So, A = p/q

On simplifying the equation , we get

A = p divided by the value of q

And , A = ( 25/6 )/10

A = 25/60

The simplest form of the value of A = 5/12

Therefore , the value of A is 5/12

Hence , the expression is A = 5/12

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How do u do 2 and 4 I’m really trying to get my grades up I’m failing 3 classes

How do u do 2 and 4 Im really trying to get my grades up Im failing 3 classes

Answers

4200 for number 2, thank me later

What is 3 3/5 X 2 1/4

Answers

Answer:

Step-by-step explanation:

answer is below

What is 3 3/5 X 2 1/4

A=(a+b)h divided by2

Answers

Hi you are so sorry for the phone number I have to text to call when I get back to work lol lol I’m so happy for your family love your love and miss y’all too much love y’all so happy birthday love y’all so much love y’all so happy birthday love

In order for you to carry a bag on the plane, it must fit inside the carry-on Baggage Check Box. The carry-on Baggage Check Box has dimensions of approximately 22 inches x 14 inches x 9 inches. Your black bag has a height of 18 inches, a depth of 12 inches and a width of 8 inches. Your blue bag has a height of 18 inches, a depth of 15 inches and a width of 10 inches.


What is the volume of the Carry-on Baggage Check Box?
22×14x9= 2772 inches3



What is the volume of the black bag?




What is the volume of the blue bag?


Which bag will definitely fit in the Check Box? Explain.


You notice these two old suitcases stacked in the closet. The smaller suitcase is 25 inches x 8 inches x 9 inches and the larger suitcase is 75 inches x 20 inches x 18 inches.



The bigger suitcase is how many times larger than the smaller suitcase? HINT: You will need to divide on this one.








You decide to use the larger suitcase to transport rectangular prism watermelons back home. The watermelons are about 720 cubic inches. If one of the watermelons is about 10 inches long and 9 inches wide, about how tall would it be? (Hint: V=LxWxH, so plug in 720=10x9xH and solve for H).







If the watermelons are about 720 cubic inches, what is the MAXIMUM amount of watermelons you’ll be able to bring home in your larger suitcase, assuming all you have in the suitcase is the watermelons. (Hint: Divide the larger suitcase volume and the volume of the watermelon).

Answers

1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.

What is volume?

Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.

For the given dimensions of the bags we have:

1. The volume of the black bag is:

18 x 12 x 8 = 1728 cubic inches

2. The volume of the blue bag is:

18 x 15 x 10 = 2700 cubic inches

3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.

4. The ratio of bigger suitcase to smaller suitcase is:

75 x 20 x 18 = 27000 cubic inches

25 x 8 x 9 = 1800 cubic inches

27000 / 1800 = 27

The bigger suitcase is 27 times larger than the smaller suitcase.

5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:

720 = 10 x 9 x H

720 = 90H

H = 8 inches

The maximum amount of watermelons that can fit are:

27000 / 720 = 37.5 watermelons = 37 watermelons.

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helppppp meeee please

helppppp meeee please

Answers

Answer:

1. vertically opposite angles

2. 76

3. 36

4. acute triangles

Determine the amplitude of function

Determine the amplitude of function

Answers

The amplitudes of functions are a) 8 and b) 6.

Given are the functions we need to determine the amplitude of function,

a) y = 8 Sin (x/2) + 3

b) y = 6 Cos x + 2

So,

To determine the amplitude of a trigonometric function, you can follow these steps:

For a sine function of the form y = A×sin(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

For a cosine function of the form y = A×cos(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

Let's apply these steps to the given functions:

a) y = 8×sin(x/2) + 3

The coefficient of sin in this function is 8, so the amplitude is |8| = 8.

Therefore, the amplitude of function a) is 8.

b) y = 6×cos(x) + 2

The coefficient of cos in this function is 6, so the amplitude is |6| = 6.

Therefore, the amplitude of function b) is 6.

Hence the amplitudes of functions are a) 8 and b) 6.

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Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 5?

Answers

Answer:

1/5

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

probability that the ticket drawn has a number which is a multiple of 5 =

Number of tickets that are a multiple of 5 / total number of tickets

Multiple of 5 = 5, 10, 15, 20

there would be 4 tickets that would be a multiple of 5

= 4/20

To transform to the simplest form. divide both the numerator and the denominator by 4

= 1/5

118 x 2 what is the sum

Answers

Answer:

236

Step-by-step explanation:

the sum would be 236

Which of the following best describes the lines y-3x=4x and 6-2y=8x
○perpendicular
○parallel
○skew
○intersecting

Answers

Answer:

Intersecting (fourth answer choice)

Step-by-step explanation:

If the lines are perpendicular, parallel, or intersecting, they are not skew.  Thus, we need to check if the lines can be classified as either perpendicular, parallel, or intersecting first.  If the lines are classified as neither, then they are skew.

First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where

m is the slope,and b is the y-intercept.

Converting y - 3x = 4x to slope-intercept form:

(y - 3x = 4x) + 3x

y = 7x

Thus, the slope of this line is 7 and the y-intercept is 0.

Converting 6 - 2y = 8x to slope-intercept form:

(6 - 2y = 8x) - 6

(-2y = 8x - 6) / -2

y = -4x + 3

Thus, the slope of this line is -4 and the y-intercept is 3.

Checking if y = 7x and y = -4x + 3 are perpendicular lines:

The slopes of perpendicular lines are negative reciprocals of each other.  

We can show this in the following formula:

m2 = -1 / m1, where

m1 is the slope of one line,and m2 is the slope of the other line.

Thus, we only have to plug in one of the slopes for m1.  Let's do -4.  

m2 = -1 / -4

m2 = 1/4

Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.

 Checking if y = 7x and y = -4x + 3 are parallel lines:

The slopes of parallel lines are equal to each other.

Because 7 and -4 are not equal, the two lines are not parallel.

Checking if the lines intersect:

The intersection point of two lines have the same x and y coordinate.  To determine if the two lines intersect, we treat them like a system of equations.

Method to solve the system:  Elimination:

We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:

add the two equations, eliminate the ys, and solve for x:

-1 (y = 7x)

-y = -7x

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

    -y = -7x

+

    y = -4x + 3

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

(0 = -11x + 3) - 3

(-3 = -11x) / 11

3/11 = x

Now we can plug in 3/11 for x in y = 7x to find y:

y = 7(3/11)

y = 21/11

Thus, x = 3/11 and y = 21/11

We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3.  If we get the same answer on both sides of the equation for both equations, the lines intersect:

Checking solutions (x = 3/11 and y = 21/11) for y = 7x:

21/11 = 7(3/11)

21/11 = 21/11

Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:

21/11 = -4(3/11) + 3

21/11 = -12/11 + (3 * 11/11)

21/11 = -12/11 + 33/11

21/11 = 21/11

Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).

This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.

Colton works at Little Ceasar's for $6.75/hour. If he works 20 hours this week, what is his gross pay for the week?

Answers

From the question,

6. 75 dollars ............................... 1 hour

135 dollars = 6.75 x 20..................................... 20 hours

Mary, Margaret, Ron, and Nick are to share a scholarship. Ron receives 1/3 of the scholarship; Nick gets 1/4 of the scholarship; Mary receives the same as Nick, and Margaret receives $72,000.

Find each person's share in the scholarship as well as the original scholarship amount

Answers

Thus, Ron's share is $24,000, Nick's share is $18,000, Mary's share is $18,000, and Margaret's share is $72,000.

Let's denote the original scholarship amount as "P."

According to the given information, Margaret receives $72,000, which means the remaining scholarship amount for the other three individuals is P - $72,000.

Ron receives 1/3 of the scholarship, which can be represented as (1/3)(P - $72,000). Nick receives 1/4 of the scholarship, which can be represented as (1/4)(P - $72,000). Mary receives the same as Nick, so Mary's share is also (1/4)(P - $72,000).

Now, we can sum up all the shares to equal the original scholarship amount:

Ron's share + Nick's share + Mary's share + Margaret's share = P

(1/3)(P - $72,000) + (1/4)(P - $72,000) + (1/4)(P - $72,000) + $72,000 = P

To simplify the equation, we can combine like terms:

(P/3 - $24,000) + (P/4 - $18,000) + (P/4 - $18,000) + $72,000 = P

Combining the fractions and constants:

(4P + 3P - 3P + 12P)/12 - $24,000 - $18,000 - $18,000 + $72,000 = P

16P/12 - $48,000 = P

Multiplying both sides of the equation by 12 to eliminate the denominator:

16P - $576,000 = 12P

Subtracting 12P from both sides of the equation:

4P = $576,000

Dividing both sides of the equation by 4:

P = $144,000

Therefore, the original scholarship amount is $144,000.

Ron's share: (1/3)($144,000 - $72,000) = $24,000

Nick's share: (1/4)($144,000 - $72,000) = $18,000

Mary's share: (1/4)($144,000 - $72,000) = $18,000

Margaret's share: $72,000

Thus, Ron's share is $24,000, Nick's share is $18,000, Mary's share is $18,000, and Margaret's share is $72,000.

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The points E, F, G and H all lie on the same line segment, in that order, such that the
ratio of EF FG: GH is equal to 1: 5:3. If EH
:
= 54, find EG.

Answers

The ratio of EG = 36.

Let's assign variables to the lengths of the line segments:

EF = x

FG = 5x

GH = 3x

We know that EH = EF + FG + GH.

Substituting the given values, we have:

54 = x + 5x + 3x

Combining like terms, we get:

54 = 9x

To isolate x, we divide both sides of the equation by 9:

54/9 = x

Simplifying, we find:

6 = x

EF = 6, FG = 5(6) = 30, and GH = 3(6) = 18.

Since EG is the sum of EF and FG, we can calculate it as follows:

EG = EF + FG = 6 + 30

= 36

EG = 36.

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PLEASE HELP ITS MATH THANK YOUUUU

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer:

35 : w = 1 : 2

obviously w = 70

Step-by-step explanation:

Hopefully this helps you :)

Have a nice day.

apokibunnyavatar

The graph of a cube root function f is shown.

The graph of g is a vertical shrink by a factor of 1/2 of the graph of f. Graph the function g.

The graph of a cube root function f is shown.The graph of g is a vertical shrink by a factor of 1/2 of

Answers

A graph of the cube root function g(x) = 1/2x³ is shown in the image below.

What is a dilation?

In Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

This ultimately implies that, the dimension (size) or side lengths of the dilated geometric object would be stretched or shrunk depending on the scale factor that is applied.

When the parent cube root function f(x) = x³ is vertically shrunk by a scale factor of 1/2, the transformed function g(x) is given by;

g(x) = kf(x)

g(x) = 1/2f(x)

g(x) = 1/2x³.

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The graph of a cube root function f is shown.The graph of g is a vertical shrink by a factor of 1/2 of

x-intercept of 3 and y-intercept of 8
How do you write a lunar equation given this information and how do you write the equation in slope form

Answers

Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

(x, y) is any point,m is the slope,and b is the y-intercept.

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Since the x-intercept is 3, the entire coordinates of the x-intercept are (3, 0)

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

We know that the entire coordinates of the x-intercept are (3, 0) and the entire coordinates of the y-intercept are (0, 8).

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

Choose the correct graph of the function

Choose the correct graph of the function

Answers

The second one is a valid function

help asap ty
will possibly mark brainliest.

help asap ty will possibly mark brainliest.

Answers

Answer:

Step-by-step explanation:

Letter B is the correct answer

Initial population is 200, tripled every hour

200 x 3 = 600

First hour 200

Second hour = 600 + 200 = 800

Third hour 800x3 = 2400 + 800 = 3200

and so on.

find the exact value of each of the remaining trigonometric functions of 0. rationalize denominators when applicable.
sin 0 = v3/6 given that cos 0 = 0

Answers

Given that cos (0) = 0, we can use the Pythagorean identity sin^2(x) + cos^2(x) = 1 to find the value of sin (0).

sin^2(0) + cos^2(0) = 1

sin^2(0) = 1 - cos^2(0)

sin^2(0) = 1 - 0^2

sin^2(0) = 1

So, sin (0) = sqrt(sin^2(0)) = sqrt (1) = 1.

However, the given value is sin (0) = v3/6. This means that sin (0) = sqrt (3)/2, which is the value of sin (60). Therefore, the correct value of sin (0) is sqrt (3)/2, not 1.

trigonometry, the branch of mathematics deal with specific functions of angles and their application to calculations. There is total six functions of an angle commonly used in trigonometry.

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PLEASE HELP WITH FACTORING PROBLEM/SHOW WORK!

PLEASE HELP WITH FACTORING PROBLEM/SHOW WORK!

Answers

Answer:

(3x+2)(x-5)

Step-by-step explanation:

Factor by grouping

\(3x^2-13x-10\\=3x^2-15x+2x-10\\=3x(x-5)+2(x-5)\\=(3x+2)(x-5)\)


The wholesale price for a bookcase is $144. A certain furniture store marks up the wholesale price by 23%. Find the price of the bookcase in the furniture store.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

177.12

Step-by-step explanation:

multiply 144 by 0.23 = 33.12

add 33.12 to 144

awnser is 177.12

how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly

Answers

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Where should he plot he third point

Where should he plot he third point

Answers

Answer:

I think he should plot the point at (4, 2)

The attachment is a repost showing what I see if Jeff attaches the 3rd point to the listed points.

Where should he plot he third point

the sum of x and 7 .............

Answers

Answer:

7x

Step-by-step explanation:

Use induction to prove that for any
n∈N
, the following formula holds:
1+2+3+…+(n−1)+n= 2n(n+1)

Answers

Mathematical induction is a method used to prove statements for all positive integers.

To prove the formula 1 + 2 + 3 + ... + (n-1) + n = n(n+1)/2 using induction,

we first show it holds for the base case n = 1.

When n = 1, the formula becomes 1 = 1(1+1)/2, which is true.

Then, we assume the formula holds for some integer k, and prove it holds for k+1.

Inductive step: Assume that the formula holds for some integer k, i.e., 1 + 2 + ... + (k-1) + k = k(k+1)/2. We need to prove that the formula also holds for k+1.

So, 1 + 2 + ... + (k-1) + k + (k+1) = k(k+1)/2 + (k+1) = (k+1)(k+2)/2, which shows that the formula holds for k+1 as well.

By repeating this process, we conclude the formula holds for all positive integers.

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the uncertainty in the position of an electron along an x axis is given as 34 pm. what is the least uncertainty in any simultaneous measurement of the momentum component px of this electron? There are small, medium, and large shirts in blue, white, or gray. How many different possible outcomes are there?92123 when a bystander is speaking to someone what could be his/her gesture A.Raise both hands at chest levelB.Extend armC.Point to the windowD.Taise one hand,palm uppatulong po plss What are some ways Louisiana has become culturally diverse? Check all that apply. Louisiana hosts more than a thousand cultural events annually. European immigrants began moving to Louisiana in the 2000s. Tourism is booming in Louisiana, along with restaurants and theaters. Over a hundred heritage celebrations are held in the state each year. Music festivals often reflect the different ethnic groups living in the state. Draw all the lines of symmetry for this shape.Line 1 how was each monopoly situation successfully eliminated? How did the northwest ordinance influence the expansion of the United States Write the equation for photosynthesis. A glass column is filled with mercury and inverted in a pool of mercury. The mercury column stabilizes at aheight of 687 mm above the pool of mercury (Hg). What is the pressure of the atmosphere around the poolin atmospheres (atm)? What are the 4 roles of government in the economy quizlet? 2. A student sat on the corner and watched the car go by. He noticed the ratio of cars to pickup trucks was 12 to 15. If 20 cars went by, how many pickup trucks went by? (1 Point) pls help Question 6 (1 point) What is the formula for diboron hexahydride? The responsibilities of the operations manager include:. Companies can maximize and carry out effective interactive marketing by ________.A. giving the customer a reason to respond, offering personalized content, offering something not available by direct mail, making it easy to unsubscribe, and combining it with other media formsB. giving the customer a reason to respond, offering personalized content, offering something not available by direct mail, making it easy to unsubscribe, and avoiding the requirement to use other media formsC. giving the customer a reason to respond, offering personalized content, offering something that is also available by direct mail, making it difficult to unsubscribe, and combining it with other media formsD. giving the customer a reason to respond, offering personalized content, offering something that is also available by direct mail, making it easy to unsubscribe, and combining it with other media formsE. giving the customer a reason to respond, offering nonspecific content, offering something not available by direct mail, making it easy to unsubscribe, and combining it with other media forms A baseball dropped from the roof of a tall building takes 3. 1 seconds to hit the ground. How tall is the building? [neglect friction. ]. Carambola de Honduras. Slinger Wayne, a U.S.-based private equity firm, is trying to determine what it should pay for a tool manufacturing firm in Honduras named Carambola. Slinger Wayne estimates that Carambola will generate a free cash flow of 15 million Honduran lempiras (Lp) next year, and that this free cash flow will continue to grow at a constant rate of 6.5% per annum indefinitely. A private equity firm like Slinger Wayne, however, is not interested in owning a company for long, and plans to sell Carambola at the end of three years for approximately 10 times Carambola's free cash flow in that year. The current spot exchange rate is Lp14.0078/$, but the Honduran inflation rate is expected to remain at a relatively high rate of 18.0% per annum compared to the U.S. dollar inflation rate of only 4.5% per annum. Slinger Wayne expects to earn at least a 20% annual rate of return on international investments like Carambola. a. What is Carambola worth if the Honduran lempira were to remain fixed over the three-year investment period? b. What is Carambola worth if the Honduran lempira were to change in value over time according to purchasing power parity? a. Calculate the free cash flows in Honduran lempiras (Lp) below: (Round to the nearest whole number.) Year 0 Year 1 Year 2 Year 3 Carambola's expected free cash flow Lp 15,000,000 Lp 15,975,000 Lp 17,013,375 Expected sale value in year 3 Lp 170,133,750 Total expected cash flow Lp 15,000,000 Lp 15,975,000 Lp 187,147,125 Expected exchange rate (Lp/$) Carambola's expected cash flow in US$ 14.0078 Assume that the Honduran lempira were to remain fixed over the three-year investment period. Calculate the free cash flows in U.S. dollars below: (Round to the nearest dollar.) Year 0 Year 1 Year 2 Year 3 Carambola's expected free cash flow Expected sale value in year 3 Total expected cash flow Expected exchange rate (Lp/$) Carambola's expected cash flow in US$ 14.0078 $ 14.0078 14.0078 14.0078 What do all living things use to produce their unique traits Question 6(Multiple Choice Worth 1 points)(04.05 LC)The graph shows a scatter plot for a set of data. Scatter plot with x-axis labeled width in centimeters and y-axis labeled with length in centimeters. The 20 points graphed are 1.3 and 1.7, 1.4 and 1.9, 1.4 and 1.8, 1.5 and 1.9, 1.9 and 2.3, 2.1 and 3.5, 2.1 and 2.8, 2.1 and 2.7, 2.2 and 3, 2.2 and 2.7, 2.3 and 3, 2.4 and 3.2, 2.4 and 2.9, 2.5 and 3.5, 2.5 and 3.3, 2.6 and 3.5, 2.6 and 3.4, 2.6 and 3.4, 2.7 and 3.2, and 2.8 and 3.8.What type of correlation exists? Is the model linear or non-linear? Scatter plot with x-axis labeled width in centimeters and y-axis labeled with length in centimeters. The 20 points graphed are 1.3 and 1.7, 1.4 and 1.9, 1.4 and 1.8, 1.5 and 1.9, 1.9 and 2.3, 2.1 and 3.5, 2.1 and 2.8, 2.1 and 2.7, 2.2 and 3, 2.2 and 2.7, 2.3 and 3, 2.4 and 3.2, 2.4 and 2.9, 2.5 and 3.5, 2.5 and 3.3, 2.6 and 3.5, 2.6 and 3.4, 2.6 and 3.4, 2.7 and 3.2, and 2.8 and 3.8. The graph shows a negative correlation, and it is a linear model. The graph shows a positive correlation, and it is a linear model. The graph shows a negative correlation, and it is a non-linear model. The graph shows a positive correlation, and it is a non-linear model. Tina Company paid $48,000 for two years rent and recorded the entire amount is a debit to Prepaid Rent. The adjusting entry on December 31 of that year would include Debit to Rent Expense of $18,000 Credit to Rent Expense of $18,000 c. Debit to Rent Expense of $24,000 4. Credit to Prepaid Rent of $24,000 How might finances contribute to a rise to stress level as you move from school to higher education institution