help me y’all are useless

Help Me Yall Are Useless

Answers

Answer 1

If you had unlimited money, the number of sandwiches you would buy depends on how much you enjoy them and how much you can eat. However, according to the law of diminishing marginal utility, the satisfaction you get from each additional sandwich would decrease, so there would be a point where the additional satisfaction would not be worth the additional cost.

How to explain the questions on utility

According to the law of diminishing marginal utility, the satisfaction you get from each additional sandwich decreases as you consume more. Therefore, the enjoyment you get from the third sandwich would be less than the enjoyment you got from the first or second sandwich, regardless of the price.

If the price of sandwiches were to drop, the enjoyment you get from the third sandwich would not change. However, you may be more likely to buy additional sandwiches, since the cost per sandwich would be lower.

The total cost of sandwiches for one week is 5 x $3.25 = $16.25.

The total cost of beverages for one week is 5 x $1.25 = $6.25.

If the beverage price goes up to $1.75, the new total cost of beverages for one week is 5 x $1.75 = $8.75.

If the beverage price goes up to $1.75, you would have $16.25 + $8.75 = $25 - $0.00 left of your $25 weekly lunch budget.

If the price of beverages goes up, you would have to spend more money to buy the same quantity of beverages, which would reduce your purchasing power for other goods and services. This is an example of the real income effect.

The increase in beverage prices would reduce the amount of money you have left to spend on other items, so it would reduce your real income.

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Related Questions

Complete the table.

starting elevation
(feet) change
(feet) final elevation
(feet)
A +200 75 up
B +200 75 down
C +200 200 down
D +200 +25
Write an addition equation and draw a number line diagram for B. Include the starting elevation, change, and final elevation in your diagram.

Complete the table. starting elevation(feet)change(feet)final elevation(feet)A+20075 up B+20075 down

Answers

Answer:

Step-by-step explanation:

Starting elevation of B = +200 feet

Change in elevation for B = 75 feet down

Final elevation of B = +200 - 75 = +125 feet

The addition equation for B can be written as:

Starting elevation + Change = Final elevation

+200 - 75 = +125

The number line diagram for B is as follows:

+------------------------+------------------------+------------------------+

A B C D

+200 +125 +225

<----- 75 ft ----->

(change in elevation)

MARKING BRAINLIEST TO THE FIRST CORRECT ANSWER If triangle BCD was reflected over the x-axis, what would be the coordinates of the new triangle's vertices?

MARKING BRAINLIEST TO THE FIRST CORRECT ANSWER If triangle BCD was reflected over the x-axis, what would

Answers

If BCD was reflected over the x axis then the coordinates will be B(-1,0) C(-1,2) and D(-4,1).

Given BCD is a triangle having coordinates (-1,0),(-1,-2),(-4,-1).

When the triangle is reflected over the x axis then all the values of y will change from negative to positive and the values of x remains same because in the second and third quadrant the values of x remains same and in the second quadrant the values of y used to  be positive  and in the third quadrant the values of y used to be negative.

So coordinates of B will change from (-1,0) to (-1,0)

coordinates of C will change from (-1,-2) to (-1,2)

coordinates of D will change from (-4,-1) to (-4,1)

New coordinates will be (-1,0) (-1,2) (-4,1).

Hence if BCD was reflected over x axis the new coordinates will be (-1,0) (-1,2) (-4,1).

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2. if a sample has a mean of 100 and standard deviation of 6, what value would correspond the the z-score of 2?

Answers

The z-score of 2 for a sample has a mean of 100 and a standard deviation of 6 is 112.

The value that would correspond to the z-score of 2 for a sample with a mean of 100 and standard deviation of 6 can be calculated using the formula for z-score:
z = (x - mean) / standard deviation

In this case, we want to find the value of x that corresponds to a z-score of 2. We can rearrange the formula to solve for x:
x = (z * standard deviation) + mean

Substituting the values given in the question:
x = (2 * 6) + 100
x = 12 + 100
x = 112

Therefore, the value that corresponds to the z-score of 2 for this sample is 112.

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Help pleasee
Qn is attached belowww
PLEASE HELPP

Help pleaseeQn is attached belowww PLEASE HELPP

Answers

Answer:

QR = 65.4 m

Step-by-step explanation:

a. Apply Law of Cosines to find QR:

p² = q² + r² - 2qr × Cos P

p = QR = ?

q = PR = 150 m

r = PQ = 120 m

P = 25°

Plug in the values

p² = 150² + 120² - (2)(150)(120) × Cos(25°)

p² = 22,500 + 14,400 - 36,000 × 0.9063

p² = 36,900 - 32,626.8

p² = 4,273.2

p = √4,273.2

p ≈ 65.4 m (nearest tenth)

QR = 65.4 m

If a 98% confidence interval has bounds 73 and 80, which of the following could be the bounds for a 95% confidence interval? A. 73 and 81. B. 72 and 79. C. 72 and 81. D. 74 and 79.

Answers

The bounds for a 95% confidence interval could be option (B) 72 and 79

We know that the 98% confidence interval has bounds of 73 and 80. This means that if we were to repeat the same experiment many times, we would expect that 98% of the time, the true population mean would fall within this range.

To find the bounds for a 95% confidence interval, we can use the fact that a higher confidence level corresponds to a wider interval, and a lower confidence level corresponds to a narrower interval.

Since we want a narrower interval for a 95% confidence level, we can expect the bounds to be closer to the sample mean. We can calculate the sample mean as the midpoint of the 98% confidence interval

(sample mean) = (lower bound + upper bound) / 2 = (73 + 80) / 2 = 76.5

Next, we can use the formula for a confidence interval:

(sample mean) ± (z-score) × (standard error)

where the z-score depends on the desired confidence level, and the standard error depends on the sample size and sample standard deviation. Since we don't have this information, we can assume that the sample size is large enough (i.e., greater than 30) for the central limit theorem to apply, and we can use the formula

standard error = (width of 98% CI) / (2 × z-score)

For a 98% confidence interval, the z-score is 2.33 (found using a standard normal distribution table or calculator). Plugging in the values, we get

standard error = (80 - 73) / (2 × 2.33) = 1.70

Now, we can use this standard error to calculate the bounds for a 95% confidence interval

(sample mean) ± (z-score) × (standard error) = 76.5 ± 1.96 × 1.70

Simplifying, we get

(lower bound) = 76.5 - 3.33 = 73.17

(upper bound) = 76.5 + 3.33 = 79.83

Therefore, the correct option is (B) 72 and 79

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Find x and Angle EFG.

Find x and Angle EFG.

Answers

x=24. I’m assuming that angle E and D are supplementary. Thus, (5x)+(2x+12)=180. When you do some basic problem solving, you end up with x=24. As for angle EFG, I assume that it is is equivalent to angle GDE. Thus, when you plug x into 2x+12, you end up with 60.

need help serious answer thanks !

need help serious answer thanks !

Answers

Answer:

a + 55 =180

a=180-55=125

b = 55 alternate angles

c=a=125 alternate angles

e =125. alternate angles

f=b=55

h=f=55 alternate angles

Step-by-step explanation:

(a) < a = 180-55= 125

(b) < b = 180- 125= 55

(c) < c = 189- 55 = 135

(d) < e = 125

(e) < f = 180-125= 55

(f) < h = 55

~

< a and < c are vertical angles.

< a and < b are adjacent angles.

< b and <h are Alternate interior angles.

< f and 55° are Alternate Exterior angles.

< a and < e are corresponding angles.

~

Two buses, which are 2400 miles apart, travel towards each other. Their speeds differ by 60 miles per hour. They pass each other after 5 hours. Find their speeds.

Answers

According to the Question

Two buses started 2400 miles apart

They pass each other and they must have together to cover = 2400 miles

Now

Using Formula :-

Distance = Speed × Time

First bus ⇒ 5 × b = 5b

Second bus ⇒ 5(b + 60)

Now put in a Equation we get :-

5b + 5(b + 60) = 2400

5b + 5b + 300 = 2400

10b + 300 = 2400

10b = 2400 - 300

10b = 2100

b = 2100 / 10

b = 210

Hence :-

One bus speed is 210 miles

Another bus speed ⇒ 210 + 60 = 270 miles

There are four cards numbered 1 through 4. The number 2 card is chosen randomly and not replaced. Find the probability of choosing a second card that is the number 3.

Answers

Answer:

1/3

Step-by-step explanation:

since number 2 card was not replaced, we have;

probability of picking a second card, 3;

let S be number of sample space

n(S)= 4

n(3)= 1

Pr(3/2)= 1/3

(because since one was already chosen and n, the sample space would reduce)

A group of 202 people went on an PART A: overnight camping trip, taking 69 tents with them. Some of the tents held 2 people each and the rest held 4 people each. All the tents were filled to capacity and every person got to sleep in a tent. PART A: write a system of equations to model this situation

Answers

Since everyone was given a tent to sleep in, there were 19 as 2 person tents and 41 as 4 person tents.

what is equation ?

The figure is said to be in its simplistic form when divided it into smallest equivalent fractions. What you must do to find the far more basic form. Look for common factors mostly in denominator and numerators. Verify a fractional figure to verify if it qualifies as little more than a prime number. A statement containing two equal sides but also an equal indication in the middle is called an answer in mathematics. The conceptual model of any equation contains unique degrees of all the variable in descending order. The conventional form of a linear function is an x + b = 0. The conceptual model of a linear equation with 2 variables is an x + b y + c = 0. (or something similar). Equations can be categorized as identities or contingent equations. An identity holds true regardless of the value given to the variables.

given

the total number of tents was 60 ,the total number of people in the group was 202.

x + y = 60

2x + 4y = 202.

y = −x + 60.

Substituting −x + 60 for y in the equation 2x + 4y = 202

= 2x + 4(−x + 60) = 202.

x = 19.

y = 41 the number of 4 person tents .

Since everyone was given a tent to sleep in, there were 19 as 2 person tents and 41 as 4 person tents.

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At midnight, the temperature was - 5°C.

At midday, the temperature was 7°C.

Work out the temperature which is halfway between -5°C and 7°C

Answers

Answer:  12 °C

Step-by-step explanation:

The difference between -5 and +7 is (7 - (-5)) = 12 °C.

AQRS and AXYZ are two right triangles. The hypotenuse of each triangle is 10 cm long; m2R = 55° and m2Y = 35°

Answers

the side lengths of triangle AQRS are 8 cm, 6 cm, and 10 cm, and the side lengths of triangle AXYZ are 8 cm, 7 cm, and 10 cm.

The side lengths of triangle AQRS are:

AQ = 8 cm

QR = 6 cm

RS = 10 cm

The side lengths of triangle AXYZ are:

AX = 8 cm

XY = 7 cm

YZ = 10 cm

To find the side lengths of both triangles, we need to use the Pythagorean Theorem. For triangle AQRS, the hypotenuse is 10 cm, and the angle m2R is 55°. To find the other two side lengths, we need to use the formula a^2 + b^2 = c^2, where a and b are the side lengths and c is the hypotenuse. Since the hypotenuse is 10 cm, we can substitute c = 10 cm in the formula. We also know that the angle m2R is 55°. We can use the formula a/sin(m2R) = c/sin(90°) to solve for the length of side a. We can then substitute the length of side a in the formula a^2 + b^2 = c^2 to solve for side b. After finding the side lengths, we repeat the same steps to find the side lengths of triangle AXYZ. The hypotenuse is again 10 cm, and the angle m2Y is 35°. We can use the same formulas to solve for the other two side lengths. Therefore, the side lengths of triangle AQRS are 8 cm, 6 cm, and 10 cm, and the side lengths of triangle AXYZ are 8 cm, 7 cm, and 10 cm.

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) Suppose you have a rope that is 293.5 cm long. If
you cut the rope into 10' equal pieces, how long
would each piece be? If you cut the rope into 102
pieces, how long would each piece be? How are the
quotients you found related?

Answers

Answer:

if you cut it into 10 pieces you get 29.35 cm longs pieces

Step-by-step explanation:

If the TA has not arrived in 15 minutes, they give up and go home. What is the probability that the student sees the TA

Answers

The probability that the student sees the TA is approximately 1.104 or 110.4%. However, since probabilities cannot exceed 1 or 100%, we can conclude that the probability of the student seeing the TA is 100%.

Assuming that the TA's arrival time follows a uniform distribution between the start time and the end time of their office hours, the probability that the student sees the TA can be calculated by finding the proportion of the distribution that falls within the 15-minute window.
Let's say the TA's office hours are from 1:00 PM to 4:00 PM. The probability that the TA arrives during the first 15 minutes (1:00 PM to 1:15 PM) is simply 15/180 or 1/12, as there are 180 minutes in the three-hour office hours. Similarly, the probability that the TA arrives during the second 15-minute interval (1:15 PM to 1:30 PM) is also 1/12.
To find the probability that the TA arrives during any of the 15-minute intervals up until 15 minutes before the end of their office hours (i.e., up until 3:45 PM), we add up the probabilities of each interval:
1/12 + 1/12 + 1/12 + ... + 1/12 (15 times) = 15/12 or 5/4
Therefore, the probability that the TA arrives during any of the 15-minute intervals up until 15 minutes before the end of their office hours is 5/4. However, since the student gives up and goes home if the TA has not arrived in 15 minutes, we need to adjust this probability downwards.
The probability that the TA arrives during the first 15-minute interval (1:00 PM to 1:15 PM) and the student is still there to see them is simply 1/12, as calculated earlier. Similarly, the probability that the TA arrives during the second 15-minute interval (1:15 PM to 1:30 PM) and the student is still there to see them is also 1/12.
To find the probability that the TA arrives during any of the 15-minute intervals up until 15 minutes before the end of their office hours and the student is still there to see them, we add up the probabilities of each interval:
1/12 + 1/12 + 1/12 + ... + 1/12 (15 times) = 15/12 or 5/4
But since the student gives up and goes home if the TA has not arrived within the first 15 minutes, we need to subtract the probability that the TA arrives during the first 15 minutes from this total:
5/4 - 1/12 = 53/48 or approximately 1.104
Therefore, the probability that the student sees the TA is approximately 1.104 or 110.4%. However, since probabilities cannot exceed 1 or 100%, we can conclude that the probability of the student seeing the TA is 100%. This is because the student gives up and goes home if the TA has not arrived within the first 15 minutes, which means that the TA is guaranteed to arrive before the 15-minute deadline.

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Steve built a square hamster pen that has a perimeter of 240240240 centimeters.What is the length of one side of Steve's hamster pen

Answers

To find the length of one side of Steve's hamster pen, we can use the formula for the perimeter of a square, which is P = 4s, where P is the perimeter and s is the length of one side. In this case, we know that the perimeter is 240 centimeters, so we can set up the equation 240 = 4s. To solve for s, we can divide both sides by 4, which gives us s = 60 centimeters. Therefore, the length of one side of Steve's hamster pen is 60 centimeters. This means that all four sides of the pen are equal in length, and the area of the pen would be 60 x 60 = 3600 square centimeters.
Hi! To find the length of one side of Steve's square hamster pen with a perimeter of 240 centimeters, you can follow these steps:

1. Understand that the perimeter of a square is the sum of all its sides. In a square, all sides are equal.
2. Since there are 4 sides in a square, you can divide the total perimeter by 4 to find the length of one side.
3. Perform the calculation: 240 cm / 4 = 60 cm.

So, the length of one side of Steve's hamster pen is 60 centimeters.

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From January to June, there are more daylight hours as June approaches.
What is the dependent variable?

Answers

Answer:

The daylight depends on the month so daylight is the dependent and the months are independet

Step-by-step explanation:

Write an equation of the line that passes through (3, 7) and is parallel to the line shown. (1, 4) (- 2, - 2)

Write an equation of the line that passes through (3, 7) and is parallel to the line shown. (1, 4) (-

Answers

Answer:

y=2x+1.

Step-by-step explanation:

You first need to find the slope of the line already graphed. -2 to 1 would be three units to the right, and -2 to 4 would be six units up. You would use the equation (y2-y1)/(x2-x1), where x1 and y1 would be the x and y values of the first coordinate of the graphed line, and x2 and y2 would be the second coordinate. This would be 6/3, which can be simplified to 2/1, which can be simplified to 2, which would mean the slope of the given line would be 2, as well as the parallel line. Now, you could use a pretty complicated equation to find the y-intercept of the line you need to graph, but I would recommend using the slope to find it. Since the given point is (3, 7), you would need to go to the left, meaning you would reverse the slope until you reach the y-axis, so you would use -2 as the slope. 3*-2=-6, and 7-6=1, so the y-intercept would be 1. The answer would be y=2x+1. Hope this helps.

HELP PLZZZZZZZZZZZZZZ

HELP PLZZZZZZZZZZZZZZ

Answers

Answer:

30 gallons/hr

Step-by-step explanation:

180/60 = 30

6. MP Justify Conclusions Tammy was
comparing information for two cell phone
plans. Plan A would cost $480 for one year.
Plan B would cost $250 for 6 months.
Tammy reasons that plan B must cost more
for one year. Is there enough information to
know if she is correct? Explain your
reasoning.

Answers

Answer:

Theusage is 585 minutes of call duration..

Explanation:

Fixed plan cost is M=$.39.95

Charge for first 500 minutes call: Free

Charge for call exceeding 500 minutes: $.0.35/minutes.

Let x minutes be the total call duration.

The bill is P=$.69.70 i.e. more than $.39.95, which indicates

call duration is more than 500 minutes.

The rule states that bill for call exceeding 500 minutes is

P=M+(x−500).0.35 or

69.70=39.95+(x−500).0.35 or (x−500).0.35=69.70−39.95 or

(x−500).0.35=29.75 or (x−500)=

0.35

29.75

or

(x−500)=85 or x=500+85=585 minutes.

The usage is 585 minutes of call duration .

Step-by-step explanation:

hope this helps

On a coordinate plane, a curved line with a minimum value of (negative 2.5, negative 12) and a maximum value of (0, negative 3) crosses the x-axis at (negative 4, 0) and crosses the y-axis at (0, negative 3).
Which statement is true about the graphed function?

F(x) < 0 over the interval (–∞, –4)
F(x) < 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –4)

Answers

The statement that is true about the function is -

D: F(x) > 0 over the interval (-∞, -4)

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

Since the curved line has a minimum value of (negative 2.5, negative 12) and a maximum value of (0, negative 3), we know that the function must be decreasing from left to right over the interval from negative infinity to negative 2.5, then increasing from negative 2.5 to 0.

Since the graph crosses the y-axis at (0, negative 3), we know that the function takes the value of negative 3 when x equals 0.

Also, since the graph crosses the x-axis at (negative 4, 0), we know that the function takes the value of 0 when x equals negative 4.

Since the function is decreasing from negative infinity to negative 2.5, and the y-value of the curve is always negative, we know that F(x) < 0 over the interval (-∞, -2.5).

Since the function is increasing from negative 2.5 to 0, and the y-value of the curve is always negative, we know that F(x) < 0 over the interval (-2.5, 0).

Since the function takes the value of negative 3 when x equals 0, we know that F(0) = negative 3, which means that F(x) < 0 over the interval (-∞, 0).

Since the function takes the value of 0 when x equals negative 4, we know that F(-4) = 0, which means that F(x) > 0 over the interval (-∞,-4).

Therefore, F(x) > 0 over the interval (-∞, -4) is true.

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which is the best estimate for the mass of a rose

Answers

Answer:

Step-by-step explanation:

dtuyhgtrfedfgrthyuj

a) Find all values for x for which the following set of vectors is Linearly Independent in R^3
[1] [-1] [3]
[2], [-3], [2]
[3] [0] [1]

Answers

The set of vectors [1, -1, 3], [2, -3, 2], and [3, 0, 1] is linearly independent in R³ for all values of x.

To determine if the set of vectors is linearly independent in R³, we need to check if there exists a non-trivial solution to the equation

c1 * [1] + c2 * [2] + c3 * [3] = [0]

[-1] [-3] [0]

[3] [2] [1]

To find the solution, we set up the augmented matrix and row reduce it

[1 2 3 | 0]

[-1 -3 2 | 0]

[3 2 1 | 1]

Row reducing the augmented matrix gives

[1 2 3 | 0]

[0 1 1 | 0]

[0 0 -1 | 1]

From the last row, we can see that -c3 = 1, which implies c3 = -1. Substituting this value into the second row, we have c2 + c3 = 0, which gives c2 - 1 = 0, and therefore c2 = 1.

Finally, substituting c2 and c3 into the first row, we get c1 + 2c2 + 3c3 = 0, which becomes c1 + 2 - 3 = 0, and thus c1 - 1 = 0, leading to c1 = 1.

Therefore, the only solution to the equation is c1 = 1, c2 = 1, and c3 = -1. Since this is a trivial solution (all coefficients are zero), the vectors are linearly independent.

So, the set of vectors is linearly independent in R³ for all values of x.

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a tiny but horrible alien is standing at the top of the empire state building (which is 443443443 meters tall) and threatening to destroy the city of new york! a men in black agent is standing at ground level, 181818 meters across the street, aiming his laser gun at the alien. at what angle, in degrees, should the agent shoot his laser gun?

Answers

The angle for shooting laser gun should be 89.98°.

The vertical height where a tiny but horrible alien is standing is given as 443443443 meters. The horizontal distance of a men in black agent from building is given in the question as 181818 meters. So, let us assume the angle formed to be theta (θ).

Writing the formula for tan theta, that relates the given height and distance

Now, tan θ = vertical height ÷ horizontal distance

Keep the values in above mentioned equation of theta to find the angle.

tan θ = \(\frac{443443443}{181818}\)

Performing division to find the tan theta and subsequently calculate the angle

tan θ = 2438.94

θ = tan⁻¹ 2438.94

Calculating tan inverse to find the value of theta

θ = 89.98°

Therefore, the  angle for shooting laser gun by a men in black agent  should be 89.98°.

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oliver saves ​10% of his weekly earnings for living expenses. he usually makes ​$520 each week. This week made 10​% more. oliver incorrectly claims that he has ​$520 left for spending money oliver this week. Calculate the amount of spending money has left for this week. What error did likely​ make?

Answers

Answer:

Step-by-step explanation:

10% of $520 is $52, so that's what Oliver usually saves each week.

This week he earned 10% more, which is $52. $520 + $52 = $572

10% of $572 is $57.20

His pay minus his living expenses is $572 - 57.20

He has $514.80 to spend

Since 10% of $520 is $52 and that's what he usually saves, it looks like he just went with that instead of adding the $52 to the $520 and then deducting 10%

x – 7y + 3z = 17
5х + 2y – 2z = -57
3х – 10у - z = -11

Answers

What are you trying to solve for?

Complete the following statement.

The money used in Jordan is called the dinar. The exchange rate is US $3 to 2 Jordanian dinars. To receive 22 dinars, you need to exchange
U.S. dollars.

Answers

I think 33 since you would multiple 11 in both sides which would give you $33 and 22 dinars

Answer:

$33

Step-by-step explanation:

$3 = 2 Dinars

$x = 22 Dinars

3/2 = x/22

multiply 3 by 22 and divide by 2

multiply 2 by x and divide 2

which will give answer to $33.

Don't know if it makes sense

i need help i don’t understand my homework?

i need help i dont understand my homework?

Answers

use circumference formula. c = (pi)d

the length from e to f is diameter

pi=3.14
d(diameter)= 16

c = 3.14(16)
c = 50.24

let p be the price of an item. the unit sales of the item are 200 - 5p. what is the correct formula for the revenue generated by the item?

Answers

The correct formula for the revenue generated by the item is Revenue = 200p - 5p^2.

The revenue generated by the item can be calculated by multiplying the price (p) by the unit sales (200 - 5p). Therefore, the correct formula for the revenue generated by the item is:

Revenue = Price x Unit Sales
Revenue = p(200 - 5p)
Revenue = 200p - 5p^2

The revenue generated by the item is a quadratic function of the price (p). To find the maximum revenue, we need to differentiate the function with respect to p and set it equal to zero:

dRevenue/dp = 200 - 10p = 0
10p = 200
p = 20

Therefore, the maximum revenue is generated when the price of the item is $20. Substituting p = 20 in the revenue formula, we get:

Revenue = 200(20) - 5(20^2) = $2000

Hence, the correct formula for the revenue generated by the item is Revenue = 200p - 5p^2, and the maximum revenue is achieved when the price of the item is $20, generating a revenue of $2000.

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mulitply the polynomials below.
(3y-8)(-x+y)

Answers

xy = 8
x + y = 6

x + y = 6
x - x + y = -x + 6
y = -x + 6

xy = 8
x(-x + 6) = 8
x(-x) + x(6) = 8
-x² + 6x = 8
-x² + 6x - 8 = 0
-1(x²) - 1(-6x) - 1(8) = 0
-1(x² - 6x + 8) = 0
-1 -1
x² - 6x + 8 = 0
x² - 4x - 2x + 8 = 0
x(x) - x(4) - 2(x) + 2(4) = 0
x(x - 4) - 2(x - 4) = 0
(x - 2)(x - 4) = 0
x - 2 = 0 or x - 4 = 0
+ 2 + 2 + 4 + 4
x = 2 or x = 4

x + y = 6
2 + y = 6
- 2 - 2
y = 4
(x, y) = (2, 4)

or
x + y = 6
4 + y = 6
- 4 - 4
y = 2
(x, y) = (4, 2)

The two numbers that add up to 6 and multiply to 8 are 4 and 2.

Carlos and Bonita were just hired at a manufacturing plant. Carlos will earn $12.50 per hour. He will earn a hiring bonus of $300. Bonita will earn $14.50, but she will not get a hiring bonus. After how many hours of working will they earn the same?

Answers

Answer:

after 3 hours

Step-by-step explanation:

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