\int (x+1)\sqrt(2x-1)dx

Answers

Answer 1

Answer:

[tex]\int (x+ 1) \sqrt{2x-1} dx = \frac{1}{3}(x+1) (2x - 1)^{\frac{3}{2} } - \ \frac{1}{15}(2x-1)^{\frac{5}{2}} + C[/tex]

Step-by-step explanation:

[tex]\int (x+1)\sqrt {(2x-1)} dx\\Integrate \ using \ integration \ by\ parts \\\\u = x + 1, v'= \sqrt{2x - 1}\\\\v'= \sqrt{2x - 1}\\\\integrate \ both \ sides \\\\\int v'= \int \sqrt{2x- 1}dx\\\\v = \int ( 2x - 1)^{\frac{1}{2} } \ dx\\\\v = \frac{(2x - 1)^{\frac{1}{2} + 1}}{\frac{1}{2} + 1}} \times \frac{1}{2}\\\\v= \frac{(2x - 1)^{\frac{3}{2}}}{\frac{3}{2}} \times \frac{1}{2}\\\\v = \frac{2 \times (2x - 1)^{\frac{3}{2}}}{3} \times \frac{1}{2}\\\\v = \frac{(2x - 1)^{\frac{3}{2}}}{3}[/tex]

[tex]\int (x+1)\sqrt(2x-1)dx\\\\ = uv - \int v du[/tex]                              

[tex]= (x +1 ) \cdot \frac{(2x - 1)^{\frac{3}{2}}}{3} - \int \frac{(2x - 1)^{\frac{3}{2}}}{3} dx \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ u = x + 1 => du = dx \ ][/tex]    

[tex]= \frac{1}{3}(x+1) (2x - 1)^{\frac{3}{2} } - \ \frac{1}{3} \int (2x - 1)^{\frac{3}{2}}} dx\\\\= \frac{1}{3}(x+1) (2x - 1)^{\frac{3}{2} } - \ \frac{1}{3} \times ( \frac{(2x-1)^{\frac{3}{2} + 1}}{\frac{3}{2} + 1}) \times \frac{1}{2}\\\\= \frac{1}{3}(x+1) (2x - 1)^{\frac{3}{2} } - \ \frac{1}{3} \times ( \frac{(2x-1)^{\frac{5}{2}}}{\frac{5}{2} }) \times \frac{1}{2}\\\\= \frac{1}{3}(x+1) (2x - 1)^{\frac{3}{2} } - \ \frac{1}{15} \times (2x-1)^{\frac{5}{2}} + C\\\\[/tex]


Related Questions

FastForward has net income of $19,090 and assets at the beginning of the year of $209,000. Its assets at the end of the year total $264,000. Compute its return on assets.

Answers

Given:

Net income = $19,090

Assets at the beginning of the year = $209,000.

Assets at the end of the year total = $264,000.

To find:

The return on assets.

Solution:

Formula used:

[tex]\text{Return of assets}=\dfrac{\text{Net income}}{\text{Average of assets at the beginning and at the end}}[/tex]

Using the above formula, we get

[tex]\text{Return of assets}=\dfrac{19090}{\dfrac{20900+264000}{2}}[/tex]

[tex]\text{Return of assets}=\dfrac{19090}{\dfrac{473000}{2}}[/tex]

[tex]\text{Return of assets}=\dfrac{19090}{236500}[/tex]

[tex]\text{Return of assets}\approx 0.0807[/tex]

The percentage form of 0.0807 is 8.07%.

Therefore, the return on assets is 8.07%.

how to solve for
LN and what are the variables

Answers

Answer:

v See below. v

Step-by-step explanation:

LM = MN

11x - 21 = 8x + 15

[tex]3x-21=15\\3x=36\\[/tex]

x = 12

LM = 11(12) - 21 = 132 - 21 = 111

MN = 8(12) + 15 = 96 + 15 = 111

LN = 111 + 111 = 222

Write the equations for a line parallel to the line:
y=-4/3x-4
That goes through the point (-7,-6)
Write your equation in slope intercept form, using reduced fractions for the slope and intercept if necessary.

Answers

Answer:

y = -4/3x -46/3

Step-by-step explanation:

The question tells us to write an equation that is:

- parallel to the given line

- goes through the point (-7, -6)

Parallel lines will have the same slope, because if the slope was different, they would eventually intersect and not be parallel lines anymore.

We are going to use the point-slope form to find the other line.

Point-slope form uses a point that the graph will cross through and the slope of the graph to find the graph in y = mx + b form (also called slope-intercept form).

(I attached the point-slope form as an image below)

m = slope

x1 = x coordinate of the point

y1 = y coordinate of the point

We are going to substitute our slope into the form first:

y - y1 = (-4/3)(x - x1)

Next let's put in our point (-7, -6):

(Remember! -7 is our x coordinate & -6 is our y coordinate :-) )

y - (-6) = -4/3(x - (-7))

(cancel out the negatives to make them positive)

y + 6 = -4/3 (x +7)

Now solve for x using basic algebra:

y + 6 = -4/3 (x +7)

(distribue the -4/3)

y + 6 = -4/3x - 28/3

(subtract 6 from both sides)

y = -4/3x -46/3

That's your answer!

Hope it helps (●'◡'●)

Answer:

Step-by-step explanation:

y + 6 = -4/3(x + 7)

y + 6 = -4/3x - 28/3

y + 18/3 = -4/3x - 28/3

y = -4/3x - 46/3

Suppose the figure KLMN is dilated using a scale factor of 1/3 with the center of dilation at the origin. Which are the ordered pairs for the image?

1. K’(-1,3), L’(-3,0), M’(⅔, -8/3), N’(2, 4/3)

2. K’(-9,27), L’(-27,0), M’(6, -24), N’(18, 12)

3. K’(0,6), L’(-6,-3), M’(-1, -5), N’(3, 1)

4. K’(3,-1), L’(0,-3), M’(-8/3, ⅔), N’(4/3,2)

Answers

Answer:

K’(-1,3), L’(-3,0), M’(⅔, -8/3), N’(2, 4/3)

Step-by-step explanation:

Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to answer a list of questions.



Part A: For what one value of are the perimeters of the quadrilaterals the same? (Hint: The perimeter of a quadrilateral is the sum of its sides.)

Part B: For what one value of are the areas of the quadrilaterals the same? (Hint: The area of a quadrilateral is the product of its base and height.)

Answers

Answer:

For the perimeters, x must be equal to 2.

For the areas, it is either undefined, or something.

Step-by-step explanation:

You can first find the perimeters for both sides.

For the left shape, we add the two sides of 6 and x + 4 to get x + 10.

Then we multiply x + 10 by 2 because there are 4 sides, and we only got 2 sides.

The perimeter of the first shape is 2x + 20.

The second shape can be solved by doing the same thing by adding 2 and 3x + 4 to get 3x + 6.

3x + 6 times 2 is 6x + 12.

The second perimeter is 6x + 12.

If both sides are supposed to be equal, then we can write these two expressions we solved for like:

6x + 12 = 2x + 20.

Subtraction property of equality

6x + 12 - 12 = 2x + 20 - 12

Simplify

6x = 2x + 8

Again

6x - 2x = 2x - 2x + 8

Simplify

4x = 8

Division property of equality

4/4x = 8/4

Simplify

x = 2

So if x = 2, the perimeters will be the same.

You can confirm this by plugging it back into either equation.

For the areas, we just multiply the length and width for both shapes, so we get

6(x+4)  =  2(3x+4)

Since they are supposed to be equal.

We simplify and get

6x + 24 = 6x + 8

We know this is false and is not possible, since we can remove the 6x because it is on both sides.

We also know that 24 is not equal to 8 (who thought!)

:D

24 ≠ 8

So it is undefined or whatever you call it.


(1) If the regression line equation of y on x is : û :
= 0.2x + 3, the value
ofy from the table when x=5 is 4.6, then the value of the error in the
value of y is ...
a 0.6
b 0.4 C 0.3
d 0.1

Answers

Answer:

0.6

Step-by-step explanation:

Given the regression equation :

y = 0.2x + 3,

The actual value of y when x = 5 is 4.6

The predicted of y using the model when x = 5 is :

Put x = 5 in the equation :

y = 0.2(5) + 3

y = 1 + 3

y = 4

The error in the value of y predicted is :

Error = Actual value - Predicted value

Error = 4.6 - 4

Error = 0.6

PLZZZZ HELPP WILL GIVE BRAINLIEST


Two sides and the non-included right angle of one right triangle are congruent to the corresponding parts of another right triangle. Which congruence theorem can be used to prove that the triangles are congruent?

AAS
SSS
SAS
HL

Answers

Answer:

HL

Step-by-step explanation:

Since both triangles are right angle triangles that means one angle is 90°. other two sides are given congruent .

that means lengths of hypotenuse and the leg of the one right angle triangle is equal to the corresponding other hypotenuse and leg of other triangle.

This fulfills the condition of HL congruency.

I need help on this graphing question if anyone can, please help me

Answers

Answer/Step-by-step explanation:

Given:

f(x) = 2x + 2

Domain = {-5, -1, 2, 3}

To write the range of f using set notation, substitute each domain value into f(x) = 2x + 2 to get each corresponding range value that will make up the set.

Thus:

✔️f(-5) = 2(-5) + 2

= -10 + 2

f(-5) = -8

✔️f(-1) = 2(-1) + 2

= -2 + 2

f(-1) = 0

✔️f(2) = 2(2) + 2

= 4 + 2

f(-1) = 6

✔️f(3) = 2(3) + 2

= 6 + 2

f(3) = 8

Range of f using set notation = {-8, 0, 6, 8}

✔️Graph f by plotting the domain values on the x-axis against the corresponding range values on the y-axis as shown in the attachment below:

*See attachment for the graph of f

A recipe for chocolate chip cookies calls for 3 1/3 cups of flour. If you are making 2 1/4 recipes, how many cups of flour are needed.

Answers

Answer:

THIS IS THE ANSWER

Step-by-step explanation:

1 1/2 = 3/2

2 1/3 = 7/3

3/2 * 7/3 = 21/6 = 3 3/5 = 3 1/2 cups

PLEASE MARK ME AS A BRAINLIST!

How long will it take 500 dollars to double if it is invested at 7% interest compounded semi-annually

Answers

Answer:

11 half years

Step-by-step explanation:

The formula for compound interest is

A = P(1+r/n)^(nt), with r representing the interest rate, n being the number of times interest is applied over the time period, and t being the amount of time periods.

If we make the time period a half year (so interest is compounded once per time period), n=2. Then, our interest rate is 7%, or 0.07 (to convert from percent to decimal, simply divide by 100). Our starting amount is 500, and we want it to double, making it 1000. Our formula is thus

1000 = 500 (1+0.07)^(t)

divide both sides by 500

2 = (1+0.07)^(t)

2 = (1.07)^(t)

Using logarithms, we can say that

[tex]log_{1.07} 2 = t[/tex]

and using a calculator, we get

10.24 = t

Since interest is only compounded once per time period, though, we have to round up to make sure it doubles, so t = 11

SOMEONE PLS HELP ME I WILL MAKE U BRAINLIST ! In a survey sample of 83 respondents, about 30.1 percent of the samplework less than 40 hours per week. What is the estimated standard error for the group of respondents who work 40 hours or more per week?
(*round to two decimal places)

Answers

Answer:

Answer = √(0.301 × 0.699 / 83) ≈ 0.050

A 68 percent confidence interval for the proportion of persons who work less than 40 hours per week is (0.251, 0.351), or equivalently (25.1%, 35.1%)

Step-by-step explanation:

√(0.301 × 0.699 / 83) ≈ 0.050

We have a large sample size of n = 83 respondents. Let p be the true proportion of persons who work less than 40 hours per week. A point estimate of p is  because about 30.1 percent of the sample work less than 40 hours per week. We can estimate the standard deviation of  as . A  confidence interval is given by , then, a 68% confidence interval is , i.e., , i.e., (0.251, 0.351).  is the value that satisfies that there is an area of 0.16 above this and under the standard normal curve.The standard error for a proportion is √(pq/n), where q=1−p.

Hope this answer helps you :)

Have a great day

Mark brainliest

rewrite the polynomial in the form ax^2 + bx + c then identify the values of a, b, and c
x^2/8 - 8

Answers

Answer:

[tex]x^{2} -16[/tex]

a = 1

b=0

c= -16

i assume the next question is to factor that...

(x-4)(x+4)

Step-by-step explanation:

The number of users of a certain website (in millions) from 2004 through 2011 follows:
Year Period Users (Millions)
2004 1 1
2005 2 5
2006 3 11
2007 4 58
2008 5 145
2009 6 359
2010 7 607
2011 8 846
Using Minitab or Excel, develop a quadratic trend equation that can be used to forecast users (in millions). (Round your numerical values to one decimal place.)

Answers

Answer:

y = 26.3x² - 116.9x + 109.6

Step-by-step explanation:

Given the data ;

Year Period Users (Millions)

2004 1 1

2005 2 5

2006 3 11

2007 4 58

2008 5 145

2009 6 359

2010 7 607

2011 8 846

A quadratic regression model can be obtained using a quadratic regression calculator ; The quadratic regression modeled obtained is in the form :

y = Ax² + Bx + C

y = 26.3x² - 116.9x + 109.6

Joshua asked each of his friends how many coins they donated to the school fundraiser. The range of this set is 110 and the lowest number of coins is 98. what is the greatest number of coins donated

Answers

Answer:

208

Step-by-step explanation:

use the formula x-98=110 since range is the highest number of the group subtracted by the lowest.

What is the value of x?

Answers

Answer:

Step-by-step explanation:

the ratio of 24 to 36 is the same as  x to 12

[tex]\frac{24}{36}[/tex] = [tex]\frac{x}{12}[/tex]

then

12*([tex]\frac{24}{36}[/tex])=x

[tex]\frac{24}{3}[/tex] = x

8 = x  

that's it :)

Simplify the expression using the order of operations agreements.
-8÷2+2×8=

Answers

Answer:

12

Step-by-step explanation:

PEMDAS is the order

P = parenthesis

E = exponent

M = *

D = division

A = +

S = -

so first 8*2 = 16

and then -8/2 = -4

and then -4 + 16

= 12

BODMAS can be used:
1. Division; -8 divided by 2 = -4
2. Multiplication; 2 times 8 = 16
3. Add; -4 plus 16 = 12

Therefore the answer is 12.

If p and q are whole numbers such that p×q=37, find the value of p+q​

Answers

Answer:

6x6

Step-by-step explanation:

Fifteen dozen eggs were needed for baking four wedding cakes. The first cake
needed one dozen eggs, and each successive cake needed twice as many eggs as the
previous cake. How many eggs were used to make the fourth cake?

Answers

Answer:

96 eggs

Step-by-step explanation:

A dozen is equal to 12 eggs, so 15 dozen is equal to 180 eggs

(Because 15*12 = 180)

We already know how many eggs are required for the 1st cake: 12 eggs.

Then it says "each successive cake needs twice as many eggs as the previos cake".

(Successive means the cake directly after the previous cake)

Here's how we find the number of eggs needed for the 2nd cake:

The 1st cake needed 12 eggs, and because the 2nd cake is directly after the 1st cake, we are going to need two times the amount of 12 eggs.

This equation represents the above scenario:

12*2 = 24

So we need 24 eggs for the 2nd cake.

Now we repeat this process for the 3rd cake, finding twice the amount of eggs from the 2nd cake to find the amount of eggs needed for the 3rd cake:

24*2 = 48

And we repeat it once more for the 4th cake, using the eggs from the 3rd cake:

48*2 = 96

So here's the list of how many eggs are required for each of the cakes:

1st cake: 12

2nd cake: 24

3rd cake: 48

4th cake: 96

If you add all the eggs from each of the cakes, you will get 180, which is the number of eggs needed for all four cakes. So our answer is correct.

Hope this helps (●'◡'●)

A graph has time (years) on the x-axis and height (inches) on the y-axis. A line goes through points (2, 5) and (4, 10).
The graph shows the height of a tree over time. What can you deduce the rate of change to be from 2 years to 4 years ?
2 inch per year
2.5 inches per year
5 inches per year
10 inches per year

Answers

Answer:

2.5 inches per year

Step-by-step explanation:

We can deduce the rate of change by obtaining the slope or gradient of thw points given :

Gradient = Rise / Run.

Point A (2, 5) ; point B (4, 10)

x1 = 2 ; y1 = 5 ;x2 = 4 ; y2 = 10

Rise = y2 - y1 = 10 - 5 = 5

Run = x2 - x1 = 4 - 2 = 2

Rate of change = Gradient = 5 /2 = 2.5

Which is 2.5 inches per year

Answer: 2.5

Step-by-step explanation: Took the assignment on edge

You are dealt one card from a 52-card deck.

a) Find the odds in favor of getting a red king.

b) Find the odds against getting a red king.

Answers

Answer:

(a)So, there are 2 kings in red- one of hearts and the other of diamonds. Therefore, the probability of selecting a red king from a deck of cards= 2/52 or 1/26.

(b) There are 6 red face cards in a 52-card deck (so 46 other cards). PROBABILITIES compare the number of favorable outcomes to the total number of possible outcomes: The PROBABILITY of getting a red face card is 6/52 = 3/26.

The odds in favor of getting a red king will be 1/26. And the odds against getting a red king will be 25/26.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

You are dealt one card from a 52-card deck.

Total events = 52

The odds in favor of getting a red king will be

Favorable events = 2

Then the probability will be

P = 2/52

P = 1/26

The odds against getting a red king will be

q = 1 – P

q = 1 – 1/26

q = 25/26

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

3s + 4t = 22
8s + 8t = 48
What is s and what is t
(Similtaneous Equations)

Answers

9514 1404 393

Answer:

   (s, t) = (2, 4)

Step-by-step explanation:

We can eliminate the t variable by subtracting the first equation from half the second.

  (1/2)(8s +8t) -(3s +4t) = (1/2)(48) -(22)

  s = 2

  3(2) +4t = 22

  4t = 16

  t = 4

The solution is (s, t) = (2, 4).

express the ratio as a fraction in it's lowest terms.3kg to 800g​

Answers

Answer:

15 / 4

Step-by-step explanation:

1 kg = 1000 g

3 kg

= 3 x 1000

= 3000 g

3kg to 800g

= 3kg : 800g

= 3000 : 800

= 30 : 8

= 30 / 8

= 15 / 4

15/4 is the fraction representing the ratio of 3 kilograms to 800 grams.

To express the ratio of 3 kilograms to 800 grams as a fraction in its lowest terms.

we need to convert both the quantities to the same units. Since 1 kg is equal to 1000 g, we can convert 3 kg to grams as follows:

3 kg = 3 * 1000 g = 3000 g

Now, we have the quantities in the same unit, and the ratio becomes:

3000 g to 800 g

To express this ratio as a fraction, we place the quantities over each other:

3000 g

-------

800 g

Now, to simplify the fraction to its lowest terms, we find the greatest common divisor (GCD) of the two numbers (3000 and 800) and divide both the numerator and denominator by this GCD.

The GCD of 3000 and 800 is 200, so dividing both by 200 gives us:

3000 ÷ 200 = 15

800 ÷ 200 = 4

Therefore, the ratio 3 kg to 800 g expressed as a fraction in its lowest terms is 15/4.

In summary, we first converted the units to the same (grams) to make the ratio easier to handle. Then, we represented the ratio as a fraction and simplified it to its lowest terms using the GCD method. The final answer, 15/4, is the fraction representing the ratio of 3 kilograms to 800 grams.

To know more about Fraction here

https://brainly.com/question/32865816

#SPJ2

30 students in grade 8 finished their summer packet before August 15.
This was 12% of all the students. How many students are in grade 8?

Answers

Step-by-step explanation:

12/100=30/x

12x=3000

x=250

hiii! !!

Give two examples of addition of two mixed numbers with different denominators
SHOW ALL STEPS

Answers

Answer:

First Example: 3 1/2 + 4 3/4, Second Example: 6 3/8 + 7 9/15

Extra Example: 8 4/20 + 3 5/10

Step-by-step explanation:

First Example:

1/2 + 3/4

1/2 is equal to 2/4 so it is now compatible to be added to 3/4.

2/4 + 3/4

= 5/4

Now for the mixed numbers since its 3 and 4, 3 + 4 = 7.

Final answer is 7 5/4.

Second Example:

3/8 + 9/15

9/15 can be reduced to 3/5

Now the equation is 3/8 + 3/5

= 15/40 + 24/40 is an equivalent equation

15/40 + 24/40  

= 39/40

Now for the mixed numbers since its 6 and 7, 6 + 7 = 13

Final answer is 13 39/40.

I am going to include one last example just in case you need one:

Third Example:

4/20 + 5/10

We can reduce these to

1/5 + 1/2

= 2/10 + 5/10 is the equivalent equation

2/10 + 5/10

= 7/10

Now for the mixed numbers since its 8 and 3, 8 + 3 = 11.

Final answer is 11 7/10.

I Hope this helps!

6v^2x^3y^7 and 20v^8x^5

Answers

Answer:

LCD????

[tex]2v^2x^3[/tex]

Step-by-step explanation:

I.- Sean los polinomios:
P(x) = 5x5 +4x3 –x +2 Q (X) = -3x4 -7x3 +9x -6 R(x) = 7x5 +3x2 + 8x -2
Halla:
1) P(X) + Q(X) 2) R (X) - P(X) 3) P(X) + R(X) - Q(X)
II.- Resuelve:
1) M= (x-1) (x-1) (x-1) - x3 +1

2) W= (x2 +x +1) (x2 -x +1)

Answers

Answer:

Step-by-step explanation:

M

Need help on the last problem

Answers

no. of right answers = 60

no. of wrong answers = 40

a cat measures 76 cm from its nose to its tail the length of a lion is 3 times as long as a car how long is a lion? Give your answer in meters

Answers

Answer:

ok so if the lion is 3 times bigger we have to multiply the length of the cat by

3

3*76=228

so the lion is 228 cm long

now we divide by 100 for meters

228 divided by 100=2.28 meters

Hope This Helps!!!

Answer:

2.28 Meters

Step-by-step explanation:

If the lion is 3 times as long as the cat and the cat is 76cm long you just multiply 76*3=228 convert that to meters and it gives you 2.28 meters in length for the lion

PLEASE HELP WILL MARK BRAINLIST AND GIVE 20 POINTS

Answers

Answer:

The first one

Step-by-step explanation:

You just need to find the slope in the average of all the dots.

Answer:

the first option, y=3/7x-3

Step-by-step explanation:

the scatterplot begins around y=-3, so therefore the y-intercept is -3. The slope is obviously not higher than 1, so it is y=3/7x-3.

Pls answer
Subtract -37 from -53

Answers

Answer:

-37 subtract -53

-53 subtract -37 = -16

Step-by-step explanation:

Answer:

The answer is 16

Step-by-step explanation:

-37-(-53) = -37 + 53

You can flip it to 53 - 37 which equals 16.

Hope this helps! :)

*Heads up you can also search this up* ^^

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Nhng yu t t tng XHCN c xut hin t khi no ? Find the best way to fix this grammatically incorrect sentence:In the nursery. After the spring rain. Smelled clean.A. In the nursery, after the spring rain, the nursery smelled clean.B. The nursery smelled clean after the spring rain.C. After the spring rain; the nursery smelled clean.D. In the nursery, it smelled clean as a result of the spring rain.E. The nursery, after the spring rain, smelled clean. Square ABCD has vertices at A(1,3), B(0,7), C(4,6), and D(3,2).What is the area of the square when rounded to the nearest whole number? the style of policing where an officer who approaches a greoup of teenagers drinking beer checks everyones id and arrest everyone who is underage whould be In aDC source, which has more cuwent?(i)R L Circuit(ii)RC Circuit (series)(iii)LC Cirenit (series)(iv)RLC Circuit (series) A three-year interest rate swap has a level notional amount of 300,000. Each settlement period is one year and the variable rate is the one-year spot interest rate at the beginning of the settlement period. One year has elapsed and the one-year spot interest rate at the start of year 2 is 4.45%.Time to Maturity 1 2 3 4 5Price of zero coupon bond with Maturity value 1 0.97 0.93 0.88 0.82 0.75Calculate the net swap payment by the payer at the end of the second year.A. 400B. 300C. 200D. 100E. 0Hint : Find the swap rate R using the table and then use R and the one-year spot rate at the start of year 2 to find the net swap payment at the end of year 2. QS 4-20B Recording estimates of future returns LO P6 ProBuilder reports merchandise sales of $92,000 and cost of merchandise sales of $32,200 in its first year of operations ending June 30. It makes fiscal-year-end adjusting entries for estimated future returns and allowances equal to 2% of sales, or $1,840, and 2% of cost of sales, or $644. a. & b. Prepare the June 30 fiscal-year-end adjusting journal entry for future returns and allowances related to sales and cost of sales. 7. The revenue for the school play is given by: R= -50t^2 + 300t , where t is the ticket price in dollars. The cost to produce the play is given by: C = 600-50t. Determine the ticket price that will allow the school play to break even. (Note: breaking even means that revenue = cost.) Sketch the graphs of both equations as seen on your calculator (indicate the window you usedin the space provided). In 25 words or fewer, why do you think Bacon's contribution mattered? Imagine you are summarizing "The Alaskan Sled Dog: A Genetic Breed Apart" as part of a research project on the topic. Determine which details should be included in a summary of the text and which details should be omitted from the summary.Sled dogs do not necessarilylook similar because appearanceis not a direct function ofperformance.Huson's research proves thatsled dogs are unique by virtueof their performance abilities.The research will allow isolationof the genes that mark theattributes of sled dogs and maybenefit human research.Breeds such as the AlaskanMalamute and the SiberianHusky have contributed genesto the sled dog makeup.Traits such as speed, endurance,and work ethic have beenselectively bred into sled dogsfrom various breeds. If 3 3/4m of cloth was used for one suit, how many suits can be made with 30m cloth Five students and two teachers pose for a picture.in how many ways can they line up side by side for a picture. 2. In how many ways can they line up if they must have the teachers on both sides of the picture? 3.what is the probability that the two teachers occupy two of the three middle slots? Why was the war guilt clause inserted Practice the present tense! Write 5 sentences, using 5 different verbs, about a friend, or sibling. Say what they are like, where they live, where they go, or what they do. Do NOT use the verb "gustar." Make sure you comment on two other posts. You can do it! The risk-free rate is 3%. The beta is 1.4, the alpha is 0.6 and the average return is 12%. What is the market return? How is it calculated? Property rights exist in order to:O A. allow people to use their property as they see fO B. ensure that property is always used productiveO c. give the government the ability to regulate proO D. set limits on the types of property businesses ~~~~NEED HELP ASAP~~~~Block A slides into block B along a frictionless surface. They are moving in the direction from left o the right. Block A= 3kg Block B= 4kg Block A velocity before collision =30m/s. Block B velocity before collision = 15 m/s The velocity of block B after the collision is 20m/s.a.) What is the velocity of block A after collision?b.) Is the collision elastic? Show work to explain answer why or why not. For each of the following characteristics, indicate whether it describes a perfectly competitive firm, a monopolistically competitive firm, both, or neither. (Note: If the characteristic describes neither, leave the entire row unchecked.) Characteristic Perfectly Competitive Monopolistically Competitive Sells a product differentiated from those of its competitors Has marginal revenue less than price Earns economic profit in the long run Produces at the minimum average total cost in the long run Equates marginal revenue and marginal cost Charges a price above marginal cost cover your mouth isnt something to joke about Which of the following would BEST fit into the category of a social bill? A.a new law against public smokingB.a new law for military spendingC.a new law for taxing American citizensD.a new law for funding welfare programsPlease select the best answer from the choices providedABCD Explain by Research how a basic generator works ? using diagram