Can you help please? Thanks

Can You Help Please? Thanks

Answers

Answer 1

The hypοtenuse's length is c = 17.

Hοw dο yοu figure οut hοw lοng the hypοtenuse is?

Add the square rοοts οf the οther sides tο find the hypοtenuse. Tο find the shοrter side, subtract the squares οf the οther sides, then take the square rοοt.

Using the Pythagοrean theοrem, we can calculate the length οf the right triangle's missing side:

\(a^2 + b^2 = c^2\)

where a, b, and c are the lengths οf the triangle's legs, and c is the length οf the hypοtenuse.

The lengths οf the twο legs are given in this case: a = 8 and b = 15. Sο we can plug the fοllοwing values intο the equatiοn:

\(8^2 + 15^2 = c^2\)

\(64 + 225 = c^2\)

\(289 = c^2\)

When we take the square rοοt οf bοth sides, we get:

\(c = \sqrt{(289)} = 17\)

As a result, the hypοtenuse length is c = 17.

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Related Questions

1Last year, a city received 16.4 inches of snow. This year, the same city received 7.91 inches of snow
What was the difference in the amounts of snowfall?
08.49 inches
8.51 inches
9.87 inches
9.51 inches

Answers

Answer: 8.49 inches

Step-by-step explanation:

16.4-7.91=8.49 inches

9.87 inches is correct

please help due in 3 min

please help due in 3 min

Answers

Answer:

(h*h)(10) is the same as h(10)*h(10). Let's find the value of h(10) first. To do this, replace every x with 10 like so

Step-by-step explanation:

h(x) = 6-x

h(10) = 6-10

h(10) = -4

So,

h(10)*h(10) = (-4)*(-4)

h(10)*h(10) = 16

The final answer is 16

Answer:

h≤6 that should be the answer

Is this a function or not a function?
(6, 3) (5, 3) (4, 3) (3, 3)

Answers

No not a function cus the all have the same x axis

Please help me with this homework

Please help me with this homework

Answers

Answer:

7. A=48

8.B=30

9. C=188

10. D=18

11. X=32

12.Y=40

Step-by-step explanation:

Answer:

7. \(a=48\)

8. \(b=30\)

9. \(c = 188\)

10. \(d = 18\)

11. \(x = 32\)

12. \(y = 40\)

Step-by-step explanation:

Let's do something called cross-multiplication. It's exactly what it sounds like, we multiply the top number with the denominator across the multiplication.

\(\frac{33}{a} = \frac{11}{16}\)

\(11 a = 33(16)\)

\(11a = 528\)

Now we can simplify.

\(a=48\)

So we got the answer for the first one. We can keep doing the same thing for the others.

the owner of a natural foods store made 20 lb of a dried fruit and granola blend that is 50% dried fruit by mixing a dried fruit and granola blend that is 20% dried fruit with a blend that is 60% dried fruit. how many pounds of each type were used to get the desired blend?

Answers

Answer:

see below

Step-by-step explanation:

20 lb of a dried fruit and granola blend 50% dried fruit

mixing 20% dried fruit x lbs

60% dried fruit y lbs

x+y=20 so x=20-y

0.2x+0.6y =0.5*20 =10

0.2(20-y) +0.6y=10

4 -0.2y+0.6y =10

0.4y =6

y=15

x=5

write the first five terms of the sequence with the given nth term. an = − 4 5 n

Answers

the first five terms of the sequence are:

-4/5, -8/5, -12/5, -16/5, -4

To find the first five terms of the sequence with the nth term given by an = -4/5n, we substitute the values of n from 1 to 5 into the nth term expression.

For n = 1:

a1 = -4/5(1) = -4/5

For n = 2:

a2 = -4/5(2) = -8/5

For n = 3:

a3 = -4/5(3) = -12/5

For n = 4:

a4 = -4/5(4) = -16/5

For n = 5:

a5 = -4/5(5) = -20/5 = -4

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Find an exponential function of the form f(x) = ba-x + c that has the given horizontal asymptote and y-intercept and passes through point P. (Exact answers only; decimal approximations will be marked incorrect.)

y = 72; y-intercept 429; P (1, 645/4)

a =
b =
c =

Answers

The exponential function that satisfies the given conditions is\(f(x) = 357e^{(-x)} + 72.\)

What is the exponential function that meets the given criteria?

The exponential function that satisfies the given conditions is \(f(x) = 357e^{(-x)} + 72\).

This function has a horizontal asymptote at y = 72, indicating that as x approaches infinity, the function approaches a value of 72. The y-intercept is 429, which means that when x = 0, f(x) equals 429.

The function also passes through the point P (1, 645/4), which means that when x = 1, f(x) equals 645/4.

The value of a, which determines the overall scaling of the function, is not explicitly given. However, it can be calculated by substituting the coordinates of point P into the function and solving for a.

By substituting x = 1 and f(x) = 645/4 into the function, we can solve for a and find that a = 5/4.

In summary, the exponential function that satisfies the given conditions is \(f(x) = 357e^{(-x)} + 72\), with a = 5/4.

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How much parent nuclide remains after three half-lives have elapsed? A. 0% B. 6.25% C. 12.5% D. 30% 29. If a sample of radioactive material contains 17% daughter nuclide, what percentage of parent nuclide is present in the sample? A. 0% B. 17% C. 50% D. 83% 30. The isotope used to determine the absolute age of organic remains is A. carbon-14 B. carbon-12 C. uranium-235 D. uranium-238 31. The half-life of carbon-14 is 5730 years. How old is a bone fragment if the proportion of carbon-14 remaining is 25%? A. 2865 a B. 5760 a C. 11 460 a D. 17 190 a

Answers

Answer:

In order of the questions asked, the answers are, C, D, A, C

Step-by-step explanation:

After three half-lives have elapsed, 12.5% of the original nuclide remains, so the answer is C.

if 17 % is daughter nuclide, then 83% is parent nuclide, so , the answer is D

the isotope for dating organic remains is A. carbon-14

for 25% of original, 2 half-lives must have passed, so we get (2)(5730) = 11460

so the answer is C


\( \frac{ - 4}{5} + - 31 \times \frac{3}{5} \)
help​

Answers

Hey there!

ANSWER: \(\frac{-97}{5}\)EXPLANATION:

\(\frac{-4}{5}+-31*\frac{3}{5}\)

Keep denominator same and add parenthesis to 3/5.

\(\frac{-4}{5}+-31*(\frac{3}{5})\)

Here is your answer.

\(\frac{-97}{5} (ANSWER)\)

Hope this helps!

\(\text {-TestedHyperr}\)

What happens when you see 42 (17 – 15) / (3 + 1) – 5 ? What do you do first? The mnemonic PEMDAS or Please Excuse My Dear Aunt Sally can help you remember the order of operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. If your expression doesn't have every type of operation, the order of operations is still the same. If it is missing one, just skip it and move on to the next operation. Which operation is done first to evaluate this expression: 5 + 7 x 2 - 9

Answers

Answer:

The operations done first are:

a)  42 (17 – 15) / (3 + 1) – 5 ; (17 -15) or (3 + 1) (parenthesis) are done first

b)  42 (17 – 15) / (3 + 1) – 5 ; 7 × 2 (multiplication) is done first

Step-by-step explanation:

from the mnemonic PEDMAS, the order of operations are: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

hence in the first expression : 42 (17 – 15) / (3 + 1) – 5, the parenthesis (bracket is simplified first as follows:

(17 - 15) = (2) ;  and (3 + 1) = (4) ;  hence the expression will be simplified as follows: 42 (2) / (4) - 5.

Next, since there is no exponent in the expression, Multiplication follows:

42 (2) = 42 × 2 = 84 ; hence he expression becomes: 84 / 4 - 5

Next division follows : 84/4 = 21, therefore the expression becomes

21 - 5.

Finally, subtraction follows : 21 - 5 = 16

b)  5 + 7 x 2 - 9;

first, multiplication is done: 7 × 2 = 14, hence the expression becomes :

5 + 14 - 9.

Next in the order is addition : 5 + 14 = 19, hence, the expression becomes:

19 - 9.

Finally, subtraction follows: 19 - 9 = 10

Answer:

multiply

Step-by-step explanation:

Can someone please help me out I’ll mark you as brainlist

Can someone please help me out Ill mark you as brainlist

Answers

Answer: z=10, y=7

Step-by-step explanation:

z+30=40

y+10=17

solve for z by isolating z, Subtract 30 from both sides

z+30-30=40-30

z=10

solve for y by isolating y, Subtract 10 from both sides

y+10-10=17-10

y=7

what is the maximum possible area of an isosceles triangle if the two equal sides are each 15 cm long?

Answers

The entire space or area occupied by an isosceles triangle's sides in a two-dimensional space is known as the triangle's area. Thus the area will be "112.5 cm²".

what is the maximum possible area of an isosceles triangle if the two equal sides are each 15 cm long?

The area is a function of the apex angle β according to

Area = (1/2)(2 cm)²×sin(β)

This will be a maximum for β = 90°. The corresponding length of the third side is  2√2 cm ≈ 2.2828 cm.

The entire space or area occupied by an isosceles triangle's sides in a two-dimensional space is known as the triangle's area. A triangle with two equal sides, which also means two equal angles, is referred to as an isosceles triangle. The following characteristics of an isosceles triangle set it apart from other kinds of triangles: The vertex angle, also known as the apex angle, is the angle formed by the two equal sides of an isosceles triangle. The base is the side that the vertex angle faces, and the base angles are equal.

The vertex angle and the base are both divided in half by the perpendicular from the vertex angle.

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on a monday a friend says he will meet you again in 31 days. what day of the week will that be? sunday monday tuesday wednesday thursday friday saturday

Answers

If someone says they will meet you again in 31 days on a Monday, then that meeting would occur on a week day of Thursday. so, the correct answer is E).

To determine the day of the week that is 31 days from a Monday, we can use the fact that there are seven days in a week. Since 31 is not evenly divisible by 7, we cannot simply add or subtract a certain number of days to find the day of the week.

Instead, we must use modular arithmetic. Specifically, we can take the remainder of 31 divided by 7, which is 3. This means that after 31 days, we will be three days ahead of Monday, so the day will be Thursday. Therefore, the day of the week that is 31 days from a Monday is Thursday. So, the correct option is E).

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help me please
asap please
please
please

help me pleaseasap pleasepleaseplease

Answers

Answer:

i have no idea what the answer is

Step-by-step explanation:

I need help on Area plz

I need help on Area plz

Answers

Answer:139 cm squared

Step-by-step explanation:

First separate it:

10x3

7x7

4x15

These are the 3 rectangles that make up this shape

Then multiply

10x3=30

7x7=49

4x15=60

Then add your answers

30+49+60=139cm squared

The following algebraic expression is given: 1 xy + 5y + 2x + 10 2.1 What do you notice about all 4 terms?​

Answers

Answer: linear combo of terms involving x & y, with respective numbers determining their contribution to the expression

consider the ascending geometric sequence a1,a2,a3,… , where all the terms are positive. in this sequence, (a5)2

Answers

The expression for the square of the fifth term in the ascending geometric sequence is a1^2 * r^8.

To determine the expression for the square of the fifth term in the ascending geometric sequence, let's denote the common ratio as r and the first term as a1.

The general formula for the nth term of a geometric sequence is given by:

an = a1 * r^(n-1)

In this case, we are interested in the fifth term, so n = 5:

a5 = a1 * r^(5-1)

  = a1 * r^4

To find the square of the fifth term, we square the expression for a5:

(a5)^2 = (a1 * r^4)^2

      = a1^2 * (r^4)^2

      = a1^2 * r^8

Therefore, the expression for the square of the fifth term in the ascending geometric sequence is a1^2 * r^8.

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Write an equation in slope-intercept form of the line that passes through the points (-2,10) and (5. – 11).

Answers

Answer:

y=-3x+4

Step-by-step explanation:

I just use desmos to graph it and find the line of fit.



A poll of teenagers in one town showed that 43 % play a team sport. It also showed that 21% play varsity team sports. Find the probability that a teenager plays varsity sports, given that the teenager plays a team sport.

Answers

The probability that a teenager plays varsity sports, given that they play a team sport, is approximately 0.4884 or 48.84%.

To find the probability that a teenager plays varsity sports given that they play a team sport, we can use conditional probability.

Let's denote:

A: Playing varsity sports

B: Playing a team sport

We are given:

P(B) = 43% = 0.43 (Probability of playing a team sport)

P(A) = 21% = 0.21 (Probability of playing varsity sports)

We need to find PA(|B), which represents the probability of playing varsity sports given that the teenager plays a team sport.

The conditional probability formula is:

P(A|B) = P(A ∩ B) / P(B)

P(A ∩ B) represents the probability of both A and B occurring simultaneously.

In this case, the probability of a teenager playing varsity sports and a team sport simultaneously is not given directly. However, we can make an assumption that all teenagers who play varsity sports also play a team sport. Under this assumption, we can say that P(A ∩ B) = P(A) = 0.21.

Now we can calculate P(A|B):

P(A|B) = P(A ∩ B) / P(B)

       = 0.21 / 0.43

      ≈ 0.4884

Therefore, the probability that a teenager plays varsity sports, given that they play a team sport, is approximately 0.4884 or 48.84%.

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3x
+
9y = -9
x + y = 1

Answers

Answer:

x=3, y= -2

Step-by-step explanation:

3x + 9y = -9

x + y = 1

Multiply the second equation by -3

-3x-3y = -3

Add this to the first equation to get rid of the x's

3x + 9y = -9

-3x -3 y = -3

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

     6y = -12

Divide by 6

6y/6 = -12/-6

y = -2

3x + 9y = -9

x + y = 1

Multiply the second equation by -9

-9x-9y = -9

Add this to the first equation to get rid of the y's

3x + 9y = -9

-9x -9 y = -9

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

     -6x = -18

Divide by -6

-6x/-6 = -18/-6

x = 3

Answer:

Here

the given equations are:-

3x + 9y = -9

or,3(x +3y)= -9

or,x+ 3y = -3 ................. (1)

x + y = 1 ................... (2)

Now , subtracting equation (2) from (1) , we ger:-

x + 3y = -3

x + y = 1

- - -

__________

0 + 2y = -2

or, y = -1

putting value of y in equation (2) , we get:-

x +(-2) = 1

or, x - 2 = 1

or x = 3

HENCE,

x = 3 and y = -1 are the values of x and y .

Thank me later.

Q1 What would you add to both sides of the equation in order to
solve the quadratic equation by completing the square?
a² - 5a = -4

Answers

Answer:

See below

Step-by-step explanation:

Take 1/2 of the 'a' coefficient, square it and add it

     a^2 -5a    + (-2.5)^2   = -4  +(- 2.5^2)

      (a - 2.5)^2 = 2.25  

I need help please:)

I need help please:)

Answers

Answer:

C D J

Step-by-step explanation:

the 2nd and 3rd quadrants have values of x that are less than 0.

Solve the following equation for y, simplifying all fractions: 6x + 10y = - 80 a) y = 3 X - 8 5 3 X 8 b) y alw c) y -x + 8 w л | о л | d) y = x – 8

Answers

Solving a linear equation with 2 variables

First isolate y term

10 y = -6x - 80

Now divide by 10

y = (-6/10)x -(80/10)

y = (-3/5)x - 8

a cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. the base of the can has an area of 75 \text{ cm}^275 cm 2 75, start text, space, c, m, end text, squared, and the height of the can is 10 \text{ cm}10 cm10, start text, space, c, m, end text. if 110 \text{ cm}^3110 cm 3 110, start text, space, c, m, end text, cubed of syrup is needed to fill the can to the top, which of the following is closest to the total volume of the pieces of fruit in the can?

Answers

The total volume of the fruits is 640 when Syrup is poured over fruit pieces in a cylindrical can and then the lid is closed. The can's height is 10 cm, and its base has a surface area of 75 cm².

Given that,

Syrup is poured over fruit pieces in a cylindrical can and then the lid is closed. The can's height is 10 cm, and its base has a surface area of 75 cm².

We have to find which of the following comes closest to the total volume of the fruit pieces in the can if 110 cm³ of syrup is required to fill the can completely.

We know that,

Total volume of the cylinder can is equal to the sum of the total volume of fruits and total volume of Syrup.

So,

The total volume of the fruits is we have to find take x

The total volume of the cylinder is base× height=75×10

The total volume of the syrup is 110

So,

75×10=x+110

x=750-110

x=640

Therefore, The total volume of the fruits is 640 when Syrup is poured over fruit pieces in a cylindrical can and then the lid is closed. The can's height is 10 cm, and its base has a surface area of 75 cm².

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Please answer the both questions in the photos below ( will mark brainliest if available + 30p )

Please answer the both questions in the photos below ( will mark brainliest if available + 30p )
Please answer the both questions in the photos below ( will mark brainliest if available + 30p )

Answers

The classification of the system of linear equations 4x + y = 4 and y = -4x + 4 is: consistent and independent. The Option B is correct.

Why is the equation's classification consistent independent?

We have a consistent independent equation when a system of linear equations has exactly one solution. When this occurs, the graphs of the system's lines cross at exactly one point.

For our question, we can start by rearranging the first equation to isolate y:

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

We can see that the second equation is already in the form y = mx + b, where m is the slope and b is the y-intercept. So we can identify that the slope of the second equation is -4 and the y-intercept is 4.

Now we can compare the slopes and y-intercepts of the two equations to determine the classification of the system of equations:

If the slopes are the same and the y-intercepts are different, the system is inconsistent and there is no solution.If the slopes are different, the system is consistent and there is a unique solution.If the slopes are the same and the y-intercepts are the same, the system is consistent and there are infinitely many solutions.

In this case, we can see that the slopes of the two equations are different (-4 and 0) and the y-intercepts are the same (4). Therefore, the system is consistent and there is a unique solution. So the classification of the system of linear equations 4x + y = 4 and y = -4x + 4 is: consistent and independent

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Alonzo raises sheep and goats. Alonzo sells each sheep for $125 and each goat for $75. Alonzo raised 14 sheep and goats this year and sold them all for a total of $1,500. How many sheep and how many goats did Alonzo sell? ​

Answers

y = -3/2x + 5/2

Explanation-

slope intercept form is y = mx + b

so we have to solve the equation for y

2y = 5 - 3x

y = 5/2 -3/2x

or

y = -3/2x + 5/2

~ I hope this helped, and I would appreciate Brainliest. ♡ ~ ( I request this to all the lengthy answers I give ! )

Irving tives in Appletown, and plans to drive alone Highway 42 , a straight Metway that leads to Bananatown, located 119 miles east and 19 miles north. Carol thes in Coconutvitle, located 76 miles east and 49 miles south of Appletown. Highway 86 funs directly north from Coconitvilie, and functions with Highway 42 before heading further north to Durianvilie. Carol and Irving are planning to meet up at park-and-ride at the yunction of the highways and carpool to Bananatown. Inving leaves Appletown at fam, driving his wwal 45 miles per hour. If Carol leaves leaves Coconutville at 9am, how fast will she need to drive to arrive at the park-and-ride the same time as trving? miles per hour Include a sketch with the work you turn in

Answers

Carol will need to drive at a speed of approximately 63.4 miles per hour to arrive at the park-and-ride at the same time as Irving.

To find out how fast Carol needs to drive, we need to calculate the distance each person travels and then divide it by the time they spend driving.

First, let's calculate the distance Irving travels. He drives along Highway 42, which is a straight line, and his destination is 119 miles east and 19 miles north of Appletown. Using the Pythagorean theorem, we can find the straight-line distance as follows:

Distance = √(119^2 + 19^2) = √(14161 + 361) = √14522 ≈ 120.4 miles

Next, we calculate the time it takes for Irving to reach the park-and-ride by dividing the distance by his speed:

Time = Distance / Speed = 120.4 miles / 45 mph ≈ 2.67 hours

Now, let's calculate the distance Carol travels. She starts from Coconutville, which is 76 miles east and 49 miles south of Appletown. To reach the park-and-ride, she needs to travel north along Highway 86 and then join Highway 42. This forms a right-angled triangle. We can find the distance Carol travels using the Pythagorean theorem:

Distance = √(76^2 + 49^2) = √(5776 + 2401) = √8177 ≈ 90.4 miles

Since Carol leaves at 9 am and Irving leaves at 7 am, Carol has 2 hours less time to reach the park-and-ride. Therefore, we need to calculate Carol's required speed to cover the distance in this shorter time:

Speed = Distance / Time = 90.4 miles / 2 hours = 45.2 mph

To arrive at the park-and-ride at the same time as Irving, Carol will need to drive at a speed of approximately 63.4 miles per hour.

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Error Analysis A contractor purchases 4 dozen pairs of padded work gloves for $59.52. He incorrectly calculates the unit
price as $14.88 per pair for the expense report. What is the correct unit price? What is the error?

Answers

Answer:

The correct unit price would be; $1.23. and The contractor divided 103.32 by 7, resulting in an error of unit price.

We have given that contractor purchases 7 dozen pairs of padded work gloves for $103.32.

Therefore,

1 dozen = 12 units

7 dozen = 12 × 7 = 84 units

The Correct unit price will be;

= 103.32 ÷ 84 = $1.23

The contractor's unit price incorrect because he did solution as 103.32 ÷ 7 dozen.

The price he calculated is for the price for 1 dozen, not 1 unit price.

The correct unit price would be; $1.23. and The contractor divided 103.32 by 7, resulting in an error of unit price.

I do not know I need more points so ya hope you find the answer but I did this for the points

Write a polynomial that represents the perimeter of the triangle with side lengths of 4x^2-9x+12, x+3, x^2+3x+7

Answers

Answer:

It would be A i took the test

Step-by-step explanation:

Ming spent $18 on three colored markers,
How much did each marker cost?

Answers

Answer:

6!!

Step-by-step explanation:

Its 6 because 6x3+18

Duh~

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I need help with this question. oxygen must diffuse through which structure listed below on its way from the alveolus to the hemoglobin of a red blood cell? If limestone is not lined with firebrick explain what would happen a balloon uses hot air to provide its lifting capacity. Prior to its release, it is tethered to the ground by a steel cable. If the gondola, weights, passengers, and material weigh 2000 lb, determine the tension in the cable when the balloon is inflated as a sphere having a diameter of 60 ft. Assume that the hot air has a specific weight of 0.040 lb/ft3 and ambient air has a specific weight of 0.070 lb.ft3 Write a paragraph analyzing the central ideas in "Sonnet 71 by William Shakespeare. Be sure to explain how the sonnets form supports the development of the central ideas, and examine whether the ideas in the poem remain consistent. The perpendicular bisector of FN is AB. What is the length of AN ? Pain that start at colicky and than localized to RUQ with anorexia and nausea may be sign of which of the following gastrointestinal disease? DiverticulitisGERDcholecystisAppendictis Lewis must communicate important policy changes to his sales reps on the road. He would also like their active participation and immediate feedback. The proper medium for this message would be which of the following?a. A virtual meetingb. Posting an announcement on the office bulletin boardc. Forwarding a letter or e-maild. One that targets the secondary audience What is the expected value of the probability distribution of the discrete random variable X?xP(X = x)1.233.095.057.019.3011.2113.11A. =11.09B. =7.26C. =9.23D. =71.08 whereas the damage that occurs in fatty liver is reversible, the damage that occurs in alcoholic hepatitis is never reversible. (true or false) If any of the underlined segments has an error, select the answer choice that CORRECTS the error. If there is no error, select "No change." I almost got nothing done yesterday: I did one small chore, but other than that I just sat around and watched movies all day. almost got done nothing got nothing almost done got almost nothing done No change 11. C2 JUN 06 Q3Classify the type of reaction occurring below.CHCHCHCHOHCH,CHCHC=CH + HOCH,12.a) Draw the displayed formula, and name the ester formed when ethanoic acid reacts with propan-1-olin the presence of a suitable catalyst.Name:b) State the name of a suitable catalyst for this reaction.[1]24...[2]..[1] G and L organize the GL partnership. Each contributes $50 for his partnership interest. The partnership purchases an apartment building for $1,000, making a $100 down payment and paying the remainder of the price with a mortgage loan. The principal of the mortgage loan is payable in a single payment after 12 years. The gross income and deductions of the partnership for each of the first few years are expected to be as follows:Rent: $240Cash operating expenses $150Interest expense 90Depreciation expense 50($290)Loss ($50)The partnership agreement allocates all depreciation to L. All other gross income and deductions are allocated to the partners equally.The partnership agreement provides that all income, gains, losses and deductions will be reflected in the partners capital accounts (which will be maintained in accordance with Reg. Sec. 1.704-1(b)(2)(iv)); and each partner will be entitled on liquidation (of either the partnership or the partners interest) to distribution of an amount equal to his positive capital account balance.Assume that the partnership operates for two years, and then sells the building at the beginning of year 3 for, alternatively, $1,100 or $800. How will the partnerships income, gain, loss and deduction (including depreciation deductions) be allocated between G and L, and will the allocations be respected for federal income tax purposes, in the following alternative variations?(a) The partnership is a general partnership, the mortgage lender has full recourse against the partnership and the partners, and any partner having a deficit in his capital account when either the partnership or his interest is liquidated must then make an additional capital contribution equal to that deficit.(b) The partnership is a limited partnership with G as the general partner and L as the limited partner; the mortgage loan is recourse; and the partnership agreement says nothing about capital account deficit restoration on liquidation of a partners interest.(c) Same as (b), except L is obligated to restore any deficit in his capital account to the extent that it does not exceed $50, and there is a "QIO" provision [within the meaning of Reg Sec. 1.704-1(b)(2)(ii)(d)] in the partnership agreement.(i) Would the year 2 allocations have economic effect or alternate economic effect if: (1) as of the end of year 2 of operations, the partnership plans in year 3 to borrow $60 on a recourse basis and distribute the cash proceeds of the loan equally to G and L, and (2) the partnership reasonably expects to earn $60 net income in year 3?(ii) What if, in year 3, the partnership borrows $60 and distributes $30 to each of G and L as planned, but unexpectedly earns only $40 (net income)? (NH4)2S is a strong electrolyte. Determine the concentration of each of the individual ions in a 0.550 M (NH4)2S solution. A gardener has 100 meters of fencing to enclose two adjacent rectangular gardens, as shown in the figure. 4x + 3y = 100 (a) Write the area of the enclosed region as a function of x. 8 2 200 A(x) = + 3 -2 3 (b) Use a graphing utility to generate additional rows of the table. (Round your answers to one decimal place.) X y Area 2 92 3 30.7 368 3 122.7 4 28 224 6 25.3 > 304 8 22.7 362.7 10 | 20 400 12 17.3 416 14 || 14.7 410.7 Use the table to estimate the dimensions that will produce a maximum area. (Round your answers to one decimal place.) longer side 2x = 24 shorter side y = 173 m (c) Use the graphing utility to graph the area function. A(X) A(X) 400 400 300 300 200 200) 100 100 LUL X 5 10 15 20 25 o 5 10 15 20 25 A(X) A(X) 400 400) 300 300 200 200 100) 100 5 10 15 20 25 5 10 15 20 25 Use the graph to estimate the dimensions that will produce a maximum area. (Round your answers to one decimal place.) longer side 2x = 25 m shorter side y = 16.7 (d) Use the graph to approximate the dimensions such that the enclosed area is 336 square meters. (Round your answers to one decimal place.) Smaller value of x: longer side y = 23.3 m shorter side 2x = 15 X m Larger value of x: longer side 2x = 35 shorter side y = 10 m X m (e) Find the required dimensions of part (d) algebraically. (Round your answers to one decimal place.) Smaller value of x: longer side m shorter side 2x = 15 x m y = 23.3 Larger value of x: longer side 2x = 35 shorter side EE y = 10 x m Donna donates stock in Chipper Corporation to the American Red Cross on September 10, 2018. She purchased the stock for $18,100 on December 28, 2017, and it had a fair market value of $27,000 when she made the donation a. What is Donna's charitable contribution deduction? b. Assume instead that the stock had a fair market value of $15,000 (rather than $27,000) when it was donated to the American Red Cross. Wha s Donna's charitable contribution deduction?