help me with 5! I really need the help ​

Help Me With 5! I Really Need The Help

Answers

Answer 1

1. The x intercept is 0 or 6

x-cordinate vertex = 3 , y-cordinate vertex = 9

2. x intercepts are 4 and -5

x-cordinate vertex = -1 and y-cordinate vertex = -20

What is intercept and vertex of a quadratic graph?

The x intercept of a quadratic graph are the roots of the quadratic equation. The vertex of a quadratic equation is the maximum or minimum point on the equation's parabola.

To find the x coordinate of the vertex , we use

x = -b/2a

and the y cordinate is found by substituting the value of -b/2a for x

1. y = x( x -6)

when y = 0

the roots of the equation = x = 0 or 6

and the x coordinate vertex = -(-6)/2 = 6/2 = 3

the y cordinate vertex = y = 3(3-6) = 3 × 3 = 9

2. y = (x-4)(x+5)

when y = 0

x = 4 or -5

and the x coordinate vertex = -1/1 = -1

y cordinate vertex = (-1-4)(-1+5)

= -5× +4 = -20

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Related Questions

If anyone is reading this, rn i would be so flipping happy if u got this for me ive been waiting for so long and got nothing please answer correctly please

Answers

Answer: The answer is A.

Step-by-step explanation: Because I am smart don't underestimate me.

Answer:

C

Step-by-step explanation: (look at attachment)

3x + 4 = -2x -2

By looking at the y-intercepts, you automatically know the answer is C.

The y-intercept of the pink line is 4 because of 3x + 4.

The y-intercept of the blue line is -2, because of -2x - 2.

At the candy store, Bianca bought 1 kilogram of gummy bears and 2 kilograms of jelly beans for $38.00. James bought 2 kilograms of gummy bears and 3 kilograms of jelly beans for $62.75. What is the cost of 1 kilogram of jelly beans?

Answers

Answer:

$13.25 .

Step-by-step explanation:

In case 1 he buys 1 kg of gummy bears and 2 kg of jelly beans .

So By the given condition :-

••••This will serve as equation (1) .

In case 2 he buys 2 kg of gummy bears and 3kg of jelly beans .

So by given condition :-

•••••This will serve as equation (2) .

Solving equation (1) and (2)

From equation (1)

x=38-2y .

we obtain,

2(38-2y)+3y=62.75

76-4y+3y=62.75

y=76-62.75=13.25 .

So cost of 1 kg of jelly bean is $13.25 .

please help I have no idea how to do this and I want to sleep​

Answers

Answer: D

Step-by-step explanation:

Zach won because 3 16/24 is less than 3 15/24. Then, 3.666666 is less than 3.625

the range of normal resting hr is between 70 and 73 beats per minute for these subjects. did average hr increase, decrease, or not change with exercise?

Answers

Assume that the normal resting HR range of 70-73 beats per minute applies to the subjects both before and after exercise.

Assume that the average HR of the subjects before exercise falls within this range, then any increase or decrease in average HR with exercise would be relative to this baseline.

The average heart rate (HR) changed with exercise.

We would need to compare the resting HR to the HR after exercise. Without this information, we cannot conclusively determine whether the average HR increased, decreased, or remained the same with exercise.

Assume that the normal resting HR range of 70-73 beats per minute applies to the subjects both before and after exercise.

Assume that the average HR of the subjects before exercise falls within this range, then any increase or decrease in average HR with exercise would be relative to this baseline.

The average HR of the subjects before exercise was 72 beats per minute, and the average HR after exercise was 80 beats per minute.

We could conclude that the average HR increased with exercise. Conversely, if the average HR after exercise was 68 beats per minute, we could conclude that the average HR decreased with exercise.

Without further information about the HR of the subjects before and after exercise.

We cannot determine whether the average HR increased, decreased, or remained the same with exercise.

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Which single basic motion will make these figures coincide?

Answers

The single basic motion that will make the figures coincide are
1) a linear motion.

2) Linear motion

3) Rotational motion

4) Translational motion

5) Rotational motion

6) translational motion

What are the basic motions in Physics?

Here are some basic motions in physics:

Linear motion: This is the motion of an object in a straight line, such as a car moving down a highway or a ball being thrown straight up.

Circular motion: This is the motion of an object moving in a circle, such as a car driving around a roundabout or a satellite orbiting the Earth.

Projectile motion: This is the motion of an object that is thrown, launched, or dropped and then moves under the influence of gravity alone. Examples include a cannonball being fired or a basketball being shot.

Oscillatory motion: This is the motion of an object that repeats the same motion over and over again, such as a pendulum swinging back and forth or a guitar string vibrating.

Rotational motion: This is the motion of an object that rotates around a fixed axis, such as a spinning top or a bicycle wheel.

Translational motion: This is the motion of an object that moves from one place to another, such as a train moving from one station to the next.

Wave motion: This is the motion of a disturbance that travels through a medium, such as sound waves or ocean waves.

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I NEED HELP ON THIS ASAP!!!!

Answers

Step-by-step explanation:

f(x) = 12 × 4^x = 3×4 × 4^x = 3 × 4^(x + 1)

on day 0 (x = 0) the new participants are 3×4 = 12, as each of the 3 founders is sending the message out to 4 friends. so, 12 contacted friends as new participants.

on day 1 (x = 1), the new participants are 3×4×4 = 48, as each of the 12 new participants of day 0 are sending out 4 new messages.

on day 2 (x = 2), the new participants are 3×4×4×4 = 192, as each of the 48 new participants of day 1 are sending out 4 new messages.

and so on.

every new day the number of new participants of the previous day sends out 4 new messages, so, the number of the new participants of the new day is 4 times the number of new participants of the previous day.

so, the result of the previous day is multiplied by 4. and that is multiplied by 4. and that again. and so on.

but the starting value is 12. therefore, we need the 3×4 at the beginning, and we keep it, of course, as the foundation for all the future multiplications by 4.

What is the loan factor is Magada decides to pay her monthly repayments over a 25 year period with an interest of 10. 75%

Answers

Magada's loan factor is approximately 0.006367. This means that for every $1 borrowed, Magada will have to pay approximately $0.006367 per month for the next 25 years to repay the loan with an interest rate of 10.75%.

To calculate the loan factor, we first need to calculate the monthly interest rate and the total number of monthly payments.

Monthly interest rate = Annual interest rate / 12

= 10.75% / 12

= 0.8958%

Monthly payments = Number of years * 12

= 25 * 12

= 300

Now, we can use loan factor formula, which is:

Loan factor = [monthly interest rate * (1 + monthly interest rate)^n] / [(1 + monthly interest rate)^n - 1]

Substituting the values, we get:

Loan factor = [0.008958 * (1 + 0.008958)^300] / [(1 + 0.008958)^300 - 1]

= 0.006367

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Help me please….
it’s due tomorrow!!!

Answers

I hope this helps! I have attached the completed worksheet below:

Which simulation is a representation of independent events?

Answers

The independent events are the ones in the third option, spinning the spiner twice.

Which simulation represents independent events?

Two events are called independent if the outcome of the first event does not affect the outcome of the second event.

From the given options, the only two that are independent are spining the spinner two times.

For example in the case of the candy, when you pull one candy and eat it, you can't pull it again, so the outcomes for the second event are modified.

In the case of the spinner that does not happen, that is why the events are independent.

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Kaylee borrows 700 dollars from her dad to buy a new phone. She has to pay him back in 2 years with a 2% simple intrest rate. How much interest will she have to pay?

Answers

The interest she will have to pay is $28.

Lauren gets a 12% commission for every piece of jewelry she sells. How much will she earn if she sells a $3,200 bracelet?

Answers

Answer:

$384

Step-by-step explanation:

$3,200 x 0.12 = $384

She would make $384, just do $3,200(the cost of the item) times 0.12 and there is your answer. :)

At a bankruptcy sale, stereo sets were advertised at 60% off. Sales tax is 7%. How
much would be paid in all for a stereo regularly selling for $68.95? 27-58

Answers

The required payment is $46•1965.

what is tax?

A tax is a mandatory fee or financial charge that a government imposes on a person or a business in order to raise money for public projects like building the greatest infrastructure and services. Different public expenditure programmes are then funded with the funds that have been raised.

According to the established law, it will attract harsh repercussions if one does not pay taxes or refuses to contribute.

what are the types of tax?

There are two main categories of taxes: direct taxes and indirect taxes. Both taxes are implemented in different ways. Some of them, like the dreaded income tax, corporate tax, wealth tax, etc., you pay directly, while others, like sales tax, service tax, value added tax, etc., you pay indirectly.

according to question,

Advertising percentage is 60%

Sale tax percentage is 7%

Selling price is $68•95

The amount after those payments=required

First you add the payment but they are in percentage

60%+7%=67%

So,

67% is the amount of payment

67×$68•95/100

$4619•65/100

=$46•1965

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Solving systems by eliminations; finding the coeficients
please write all the problems down, 10 points for each problem, and Brainliest

Answers

The solution to the given system of equations is x = 5, y = -1.

The system of equations is given as follows:

7x - 2y = 37    ....(i)

4x + y = 19     ....(ii)

To eliminate y, we need to multiply the second equation by 2 so that the coefficients of y in both equations become opposites:

7x - 2y = 37

8x + 2y = 38

Now we can add the two equations together to eliminate y:

15x = 75

x = 5

Now we can substitute x = 5 into equation (ii) to solve for y.

4x + y = 19

4(5) + y = 19

20 + y = 19

y = -1

Thus, the solution to the system of equations is:

x = 5, y = -1

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#15 Please HELP!!!!!!!!!!!!!!!

Answers

The calculated measure of the arc PM is 19 degrees

Calculating the measures of the arc PM

From the question, we have the following parameters that can be used in our computation:

The circle

The angles created by secants and tangents that intersect outside a circle, which states that

The size of the angle formed by these two lines is equivalent to half the numerical difference between the measures of the arcs that they cut out from the circle.

So, we have

PM = 1/2 * (59 - 21)

Evaluate

PM = 19

Hence, the measure of the arc is 19 degrees

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Solve the following proportions

Answers

Answer:

x = 6 , y = 1.5

Step-by-step explanation:

1

[tex]\frac{3}{4}[/tex] = [tex]\frac{x}{8}[/tex] ( cross- multiply )

4x = 3 × 8 = 24 ( divide both sides by 4 )

x = 6

2

[tex]\frac{5}{y}[/tex] = [tex]\frac{10}{3}[/tex] ( cross- multiply )

10y = 5 × 3 = 15 ( divide both sides by 10 )

y = 1.5

Find the equation of the circle with center at (3,-4) that passes through (-1,-4)

Answers

The equation of the circle with center at (3,-4) that passes through (-1,-4) is (x - 3)²+ (y + 4)² = 16

The equation of a circle with center (a, b) and radius r is given by:

(x - a)² + (y - b)² = r²

We are given that the center of the circle is (3, -4), so we can substitute a = 3 and b = -4 in the above equation to get:

(x - 3)² + (y + 4)² = r²

We also know that the circle passes through the point (-1, -4).

Substituting this point into the above equation, we get:

(-1 - 3)²+ (-4 + 4)² = r²

16 = r²

r = 4

Hence, the equation of the circle with center at (3,-4) that passes through (-1,-4) is (x - 3)²+ (y + 4)² = 16

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A boat is heading towards a lighthouse, whose beacon-light is 111 feet above the water. From point A, the boat’s crew measures the angle of elevation to the beacon, 6∘ before they draw closer. They measure the angle of elevation a second time from point B at some later time to be 13∘ . Find the distance from point A to point B. Round your answer to the nearest tenth of a foot if necessary.

Answers

The distance from point A to point B is approximately 926.4 feet.

What is angle?

An angle is a measure of the amount of rotation between two lines, rays, or line segments that share a common endpoint, called the vertex. It is typically measured in degrees or radians.

According to question:

Let's call the distance between point A and the lighthouse "x" and the distance between point B and the lighthouse "y". We want to find the value of "y".

From point A, the crew measures the angle of elevation to the lighthouse to be 6. This means that the angle formed between the horizontal line passing through point A and the line connecting point A to the top of the lighthouse is 6. We can draw a right triangle ABC where point A is the bottom left corner, point B is the bottom right corner, and point C is the top of the lighthouse. The line segment AC represents the height of the lighthouse (111 feet) and the line segment AB represents the distance between point A and the lighthouse (x).

Using trigonometry, we know that:

tan(6) = AC/AB

tan(6) = 111/x

x = 111/tan(6)

Now, from point B, the crew measures the angle of elevation to the lighthouse to be 13. This means that the angle formed between the horizontal line passing through point B and the line connecting point B to the top of the lighthouse is 13. We can draw a right triangle BCD where point B is the bottom left corner, point C is the top of the lighthouse (the same point as in the previous triangle), and point D is the bottom right corner. The line segment CD represents the height of the lighthouse (111 feet) and the line segment BD represents the distance between point B and the lighthouse (y).

Using trigonometry, we know that:

tan(13) = CD/BD

tan(13) = 111/y

y = 111/tan(13)

Therefore, the distance between point A and point B is:

y - x = 111/tan(13) - 111/tan(6)

Using a calculator, we get:

y - x ≈ 926.4 feet

Rounding to the nearest tenth of a foot, the distance from point A to point B is approximately 926.4 feet.

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a recent poll of 300 executives' exercise habits revealed that 95 run and 127 bike. 49 reported that they bike and run for exercise. if one of these is executives is randomly selected, what is the probability that they run or bike for exercise? leave your answer as a number between 0 and 1. round to two decimal places.

Answers

The probability that they run or bike for exercise is 0.91

The probability that a randomly selected executive runs or bikes for exercise can be calculated by adding the probability of running and biking for exercise, subtracting the probability of running and biking for exercise simultaneously (which would be double counted).

This can be expressed mathematically as:

A recent poll of 300 executives revealed how they exercise.

95 reported running, 127 reported biking and 49 reported that they both bike and run for exercise.

If one of these executives is randomly selected, the probability that they run or bike for exercise is 0.91.

This can be calculated by adding the probability of running and biking for exercise, subtracting the probability of running and biking for exercise simultaneously (which would be double counted).

This shows that the majority of executives prefer to exercise by running or biking.

P(Run or Bike for exercise) = P(Run) + P(Bike) - P(Run and Bike)

Plugging in our given values, we get:

P(Run or Bike for exercise) = P(Run) + P(Bike) - P(Run and Bike)

P(Run or Bike for exercise) = 95/300 + 127/300 - 49/300

P(Run or Bike for exercise) = 0.91

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A large pizza at a Pizza Palace costs $11.50 plus $0.90 per topping. The cost for a Large pizza at Tasty Pizza costs $13.25 $0.55 per topping. Let n represent the number of toppings. Let c represent the total cost for the pizza.

a) Write a system of equations to model this scenario
b) then solve the system (using the SUBSTITUTION method) to find the number of toppings where the cost is the same. Be sure to **show all work**

Answers

Answer:

Step-by-step explanation:

a) The system of equations modeling this scenario is as follows:

C = 11.50 + 0.9n

C = 13.25 + 0.55n.

b) The number of toppings where the cost is the same at either Pizza Palace or Tasty Pizza is 5.

What is a system of equations?

A system of equations is two or more equations solved concurrently.

A system of equations is also called simultaneous equations because the equations are solved at the same time or simultaneously.

                              Pizza Palace    Tasty Pizza

Pizza cost per unit       $11.50             $13.25

Topping cost per unit  $0.90              $0.55

Let the number of toppings = n

Let the total cost for the pizza at each pizza place = c

Equations:

The total cost at Pizza Palace C = 11.50 + 0.9n... Equation 1

The total cost at Tasty Pizza, C = 13.25 + 0.55n... Equation 2

For the total cost, c, to be the same at the pizza places, Equation 1 must equate Equation 2:

That is, C = C.

Substituting the values of C:

11.50 + 0.9n = 13.25 + 0.55n

0.35n = 1.75

n = 5

determinate wether each set of side lengths forma a right triangle 11.24,26

Answers

The given set of side lengths 11, 24, and 26 does not form a right triangle.

Determining whether the set of side lengths form a right triangle

To determine whether the set of side lengths form a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we have side lengths 11, 24, and 26. Let's check whether they satisfy the Pythagorean theorem.

Using the theorem, we have:

26^2 = 11^2 + 24^2

Simplifying the right-hand side, we get:

676 = 121 + 576

Therefore, the equation is false, and the set of side lengths satisfies the Pythagorean theorem.

This means that the given set of side lengths does not form a right triangle.

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What is 953−105×4+118

Answers

Answer:

651

Step-by-step explanation:

105*4=420

953-420=533

533+118=651

Average movie prices in the United States are, in general, lower than in other countries. It would cost $78.40 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $74.05. How much does an average movie ticket cost in each of these countries?​

Answers

Solving the equations we get the average cost of movie tickets for Japan is $17.42 and Switzerland is $13.07.

What is equation?

An equation is a mathematical statement which is made by two expressions connected by an equal sign. For example, 3x – 8 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 8.

Let, the cost for 1 movie ticket in Japan = $x

the cost for 1 movie ticket in Switzerland = $y

It would cost $78.40 to buy three tickets in Japan plus two tickets in Switzerland.

So the first equation will be,

3x+2y= 78.40 ------------(1)

Three tickets in Switzerland plus two tickets in Japan would cost $74.05

From this the 2nd equation will be,

2x+3y= 74.05 --------------(2)

Multiplying equation (1) by 2 and multiplying equation (2) by 3 we get,

6x+4y= 156.8 --------------(3)

6x+9y= 222.15 ------------(4)

equation (4)- (3) gives,

5y= 65.35

y= 13.07

putting this value in equation (1) we get,

x= (78.40- 2× 13.07)/ 3

 = 17.42

Hence, the average cost of movie tickets for Japan is $17.42 and Switzerland is $13.07.

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Alfonso said that the perimeter of this
triangle is 66 centimeters. What was his error?

Answers

Required error is the perimeter of the triangle is 60 cm, not 66 cm as Alfonso said.

What is perimeter of a triangle?

The perimeter of a triangle is the total length of the three sides of the triangle. It is a fundamental geometric concept that is important in many applications, including architecture, engineering, and construction.

To calculate the perimeter of a triangle, you simply add up the lengths of its three sides. This is expressed by the following formula,

Perimeter = side a + side b + side c

where "a," "b," and "c" are the lengths of the three sides of the triangle.

Here Alfonso's error is that he added the three side lengths incorrectly. The correct way to find the perimeter of a triangle is to add up all three sides.

In this case, the three side lengths are 22 cm, 11 cm, and 27 cm. Adding them up, we get,

22 cm + 11 cm + 27 cm = 60 cm

Therefore, the perimeter of the triangle is 60 cm, not 66 cm as Alfonso said.

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Correct question is " There is a triangle whose sides are 22 cm, 11 cm and 27 cm.

Alfonso said that the perimeter of this

triangle is 66 centimeters. What was his error?"

Can someone help me asap? It’s due tomorrow. I will give brainiest if it’s correct.

A. 23

B. 61

C. 37

D. 14

Answers

Answer:  the answer is A. 14.

Step-by-step explanation: In each trial of the reenactment, Scott chooses one card from the stack and records its digit. Based on the given data, a digit of or 1 speaks to a objective scored, and a digit of 2 through 9 speaks to a missed endeavor.

Out of the 5 endeavors per amusement, on the off chance that Scott scores precisely 2 objectives, it implies he missed 3 endeavors. Subsequently, the likelihood of this occasion can be calculated as:

P(exactly 2 objectives) = (0.2)²(0.8)³ = 0.008192

This likelihood can be utilized to discover the anticipated number of diversions in which Scott scores precisely 2 objectives, by duplicating it by the overall number of diversions reenacted:

Anticipated number of recreations = P(exactly 2 objectives) × Add up to number of recreations = 0.008192 × 84 ≈ 0.68

Adjusting to the closest entire number, we get that Scott is anticipated to score precisely 2 objectives in 1 diversion out of the 84 recreated diversions.

Expand:3(×+2y)+4(2×-y)​

Answers

To expand the expression 3(×+2y)+4(2×-y), we need to distribute the coefficients 3 and 4 to the terms in the parentheses:

3(×+2y)+4(2×-y)

= 3× + 3(2y) + 4(2×) - 4y (using the distributive property)

= 3× + 6y + 8× - 4y (combining like terms)

= (3× + 8×) + (6y - 4y)

= 11× + 2y

Therefore, the expanded form of the expression 3(×+2y)+4(2×-y) is 11× + 2y.

Answer:

11x + 2y

Step-by-step explanation:

Expand the equation:

3(x + 2y) + 4(2x - y)

Multiply 3, by x & by 2y:

3(x + 2y) ===> 3x + 6y

Then, multiply 4, by 2x & by -y:

4(2x - y) ===> 8x - 4y

Finally, you add/subtract the two results from the parenthesis:

3x + 6y + 8x - 4y ===> 11x + 2y

Your final expanded result will be: 11x + 2y.

PLEASE HELP ME APSPPPPP!!!!!!!!!

Answers

Answer: the 3d shape would be a rectangle. the hight is 3. and the diameter is 10

Step-by-step explanation:

I need some help pretty please

Answers

Answer:

Step-by-step explanation:

Change in Y/Change in X

5- -1/6- -2

5+1/6+2

6/8

3/4

3. A sporting goods store received an order of 64 baseball caps, of which 16 were green. If 1 (1 point)
of the 64 caps is selected at random, what is the probability it will not be green?
25%
75%
80%
50%

Answers

The answer is option (b) 75%.

What is Probability?

Probability is a measure of the likelihood that a particular event will occur. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event can be determined by dividing the number of ways the event can occur by the total number of possible outcomes.

The probability of selecting a non-green cap is the number of non-green caps divided by the total number of caps:

P(non-green) = 48/64 = 3/4 = 0.75

Therefore, the probability that a randomly selected cap will not be green is 0.75 or 75%.

So the answer is option (b) 75%.

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Si un editor pone un precio de $16 a un libro, se venderán 10,000 copias. Por cada dólar que aumente al precio se dejarán de vender 300 libros. ¿Cuál debe ser el precio al que se debe vender cada libro para generar un ingreso total por las ventas de $124,875?

Answers

The price of each book must be either $38.53 or $10.8 to generate a total sales revenue of $1,24,875.

If the prices of a book is $16 then 10000 copies will be sold.

For every dollar that increase in price, 300 books will not be sold.

So if the price of a book increases $x then the total price of sold books is given by,

y = (16 + x)*(10000-300x)

Now total sales revenue of the books is $124875, that is, y = 124875.

So, (16+x)*(10000-300x) = 124875

160000 + 10000x - 4800x - 300x² = 124875

35125 + 5200x - 300x² = 0

25 (1405 + 208x - 12x²) = 0

12x² - 208x - 1405 = 0

Solving the above quadratic equation we get,

x = 22.53 or x = -5.20 (Rounding to two decimal places)

So the amount will be either (16+22.53) = $38.53 or (16-5.20) = $ 10.8.

Hence the price must be either $38.53 or $10.8.

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The translation of the question is -

"If a publisher prices a book at $16, 10,000 copies will be sold. For every dollar that increases in price, 300 books will not be sold. What must be the price each book must sell for to generate a total sales revenue of $124,875?"

a room has a wall with an r-value of 15 f sq.ft. hr/btu. the room is 13 feet long and 11 feet wide with walls that are 9 ft high. on a particular day the average outside temperature is 36 degrees f. how much heat is transferred through the walls on that day (in btus)? answer to two decimal places without a unit.

Answers

On that particular day, approximately 272.32 BTUs of heat were transferred through the wall.

To calculate the amount of heat transferred through the walls on a particular day, we can use the formula:

Q = U × A × deltaT

where Q is the heat transferred (in BTUs), U is the overall heat transfer coefficient (in BTU/hr·ft^2·°F), A is the area of the wall (in ft^2), and deltaT is the temperature difference between the inside and outside of the wall (in °F).

First, let's calculate the area of the wall. The room has four walls, but we are only interested in the heat transferred through the wall with an R-value of 15. We can calculate the area of this wall as follows:

Area = Length × Height = 13 ft × 9 ft = 117 ft^2

Next, we need to calculate the overall heat transfer coefficient, U. The U-value is the reciprocal of the R-value, so:

U = 1 / R = 1 / 15 = 0.0667 BTU/hr·ft^2·°F

Now we need to calculate the temperature difference between the inside and outside of the wall. We are given that the outside temperature is 36 °F, but we don't know the inside temperature. Let's assume that the inside temperature is 70 °F, which is a typical room temperature. Then the temperature difference is:

deltaT = 70 °F - 36 °F = 34 °F

Finally, we can plug these values into the formula:

Q = U × A × deltaT

Q = 0.0667 BTU/hr·ft^2·°F × 117 ft^2 × 34 °F

Q ≈ 272.32 BTUs

Therefore, on that particular day, approximately 272.32 BTUs of heat were transferred through the wall.

To read more about the heat transfer coefficient:

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