The function F represents the revenue in dollars the school can expect to receive if it sells 220-12× coffee mugs for dollars each.
Answers
Options B,D, and E are correct as per the given Function of the revenue.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
A. At $2 per coffee mug, the revenue will be $196.
This statement is incorrect.
If the price per mug is $2, then the revenue would be (220 - 12x) * 2. If x = 12 (i.e. 12 mugs are sold), then the revenue would be (220 - 12(12)) * 2 = $176.
B. The school expects to sell 160 mugs if the price is $5 each.
This statement is correct.
To find the number of mugs sold at a given price, we need to solve the equation (220 - 12x) * x = revenue, where revenue is the expected revenue at that price.
However, the graph does not provide enough information to determine the number of mugs sold at a price of $5.
C. The school will lose money if it sells the mugs for more than $10 each.
This statement is incorrect. The graph shows that the revenue is increasing as the price per mug increases, up to a maximum revenue of about $1,000 when the price is $10 per mug. Therefore, the school will not lose money if it sells the mugs for more than $10 each.
D. The school will earn about $1,000 if it sells the mugs for $10 each.
This statement is correct. The graph shows that the maximum revenue occurs when the price per mug is about $10. At this price, the revenue is approximately $1,000.
E. The revenue will be more than $700 if the price is between $4 and $14.
This statement is correct.
The graph shows that the revenue is increasing in this price range, and the minimum revenue occurs when the price per mug is about $18. Therefore, the revenue will be more than $700 if the price is between $4 and $14.
F. The expected revenue will increase if the price per mug is greater than $10.
This statement is incorrect. The graph shows that the revenue is increasing as the price per mug increases up to $10, but then it starts to decrease. Therefore, the expected revenue will decrease if the price per mug is greater than $10.
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Complete question:
Related Questions
Alonzo charges $150 for 5 hours of tutoring.
What is his rate per hour.
I’m confused
Answers
Answer:
C: $30/hr
Step-by-step explanation:
In order to find the rate per hour you must divide: 150 ÷ 5
Which will give you 30
Also if you took away the 0 in "150" then it would be like says "15 ÷ 5" which is 3 but then you have to add the zero back making it 30
Therefore your overall answer is going to be C, $30/hr
Calculate the approximate difference between 1 mile and 2 km.
Give your answer in metres.
Answers
Answer:
Approximate difference between 1 mile and 2 km in meters = 390.66meters
Step-by-step explanation:
I mile =1609.34meters
also 1000m = 1km
therefore 2km = 2 x 1000= 2000m
Approximate difference = 2000m - 1609.34m
=390.66 meters.
Approximate difference between 1 mile and 2 km in meters = 390.66meters
30 POINTS
Identify the following for the exponential function y = 5(1/4)x.
a. Growth or decay?
b. Initial value
c. Growth/decay factor
d. Growth/decay rate (as a percentage)
Answers
Answer:
A)
Decay
B)
Initial value is 5.
C)
The decay factor is 0.75.
D)
75%
Step-by-step explanation:
An exponential function is given by:
[tex]f(x)=a(r)^x[/tex]
Where a is the initial value and r is the rate.
We have the function:
[tex]y=5(1/4)^x[/tex]
So, a = 5 and r = 1/4.
A)
Remember the guidelines:
It is exponential growth if r > 1. And it is exponential decay if r < 1. (And r must be positive.)Our rate is 1/4 or 0.25.
It is less than 1, so our function is exponential decay.
B)
The initial value is the value in front of our rate.
So, our initial value in this case is 5.
C)
The decay factor will be 1 - r, where r is our rate.
Since our rate is 0.25, our decay factor is 1 - 0.25 = 0.75.
So, we are decaying by a factor of 0.75.
D)
To convert a decimal to a percent, we move the decimal dot two places to the rght and add a percent sign.
So, 0.75 will be 75.0 % or smply 75%.
It is a 75% decay.
in the first third of the season the team played 18 games how many games will the team play during the whole season
Answers
Answer:
54
Step-by-step explanation:
all you have to do is times 18 by 3
The model below shows the product of two fractions. Which expression does the
model represent?
12
13
16
3
х
16
Answers
That’s i don’t know lol
Keith’s
Evaluate: 25 - 2t, when t = 5
Answers
Answer:
15
Step-by-step explanation:
25 - 2t
t = 5
25 - 2(5)
25 - 10
= 15
Answer:
15
Step-by-step explanation:
The equation with the value t substituted for 5 will look like 25 - (2)5
first you multiply 2 and 5 because pemdas.
The equation Is now 25-10
25-10 is 15
The answer is 15
which of the following is not necessary to book a flight
a) credit card
b) arrival city
c) drivers license
d) date of travel
Answers
The option C. Driver's License is not necessary to book a flight.
What is Driver's License?Driver's License is an official document given to a person who is permitted to drive vehicle on the road.
This is usually given after certain tests including Physical driving and other general knowledge of driving.
Now, when we book a flight, credit card can be used to book a flight, but not necessary.
But there is a chance than you can use the credit card.
Arrival city is necessary when you book a flight because then only other procedures will follow.
Similarly, date of travel is also required in order to book the flight on a particular day.
So the least necessary document is Driver's License.
Hence Driver's License is not necessary to book a flight.
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4. Which of the following is equivalent to the
expression below?
4x + 3(2x +1) + 4x
A 14x
,
C 14x + 3
B6x + 3
D 14x - 3
5. What are the like terme in the av
Answers
Answer:
14x+3
Step-by-step explanation:
The given expression is as follows :
4x + 3(2x +1) + 4x
We need to find the equivalent expression for the above.
So,
4x + 6x +3 + 4x
Adding x terms,
14x+3
Hence, the correct equivalent expression is 14x+3.
In a triangle, the measure of the first angle is five times the
measure of the second angle. The measure of the third angle
is 40 less than five times the measure of the second angle.
What is the measure, in degrees, of each angle?
Answers
Add the 3 angles.
The sum is 180 degrees.
HELP ME CHEAT
A small pouch contains 8 black marbles, 5 white marbles, and 12 red marbles.
Find the probability of picking a red then a black marble if you do not replace the first marble.
0.16
0.32
0.3
0.5
Answers
Please explain and show work
Answers
Answer:
a. 1
b. any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1
Step-by-step explanation:
Answer and explanation:
a) This value is equal to one because it is just the number divided by itself.
b) Since any number divided by itself is equal to 1, 6^3/6^3 also has to equal to one. This also means that when we bring the 6^3 up to the numerator, the equation 6^3-3, which simplifies into 6^0 also has to equal 1, because it is equivalent to being divided by itself.
Hope this helps!!
Find the slope of the line containing the pair of points (-1,-18) and (-13,-19)
Answers
Answer:
Slope: 3.083333333
Step-by-step explanation:
You purchase a new shirt that cost $18.00. Sales tax is added at the register at a rate of 7%. Thus time I would like to know what the total cost of the shirt is including sales tax?
Answers
John drove to visit his grandmother. To get there, he drove 157.5 miles on the highway and a few miles further on city streets. The highway part of his drive took him 2.5 hours. If John drove at a steady pace, how fast did he drive on the highway?
Answers
Answer: 63 mph
Step-by-step explanation:
Speed is determined by dividing the distance traveled by the time taken to travel it.
Speed = Distance of highway / Time spent on highway
= 157.5 / 2.5
= 63 miles per hour
Ethan needs an 75% average in his writing class to pass. On his first 4 exams,
he earned scores of 68%,72%, 85%, and 90%. What is the minimum score
Ethan can earn on his fifth and final test to pass?
A. 80%
B. 70%
C. 68%
D. 60%
Answers
The minimum average score Ethan can earn on his fifth and final test is option (D) 60% is the correct answer.
What is an average?An average of a list of data is the expression of the central value(mean) of a set of data. Average is calculated by adding quantities together and dividing the total by the number of quantities.
For the given situation,
The scores for 4 exams are 68%,72%, 85%, and 90%.
Let the score for the fifth test be x.
Formula for the average,
[tex]A = \frac{Sum of individual scores}{Total number of tests}[/tex]
⇒ [tex]75=\frac{68+72+85+90+x}{5}[/tex]
⇒ [tex]375=315+x[/tex]
⇒ [tex]x=60[/tex]
Hence we can conclude that the minimum average score Ethan can earn on his fifth and final test is option (D) 60% is the correct answer.
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Help me please I don’t know
Answers
Answer:
$1.50
Step-by-step explanation:
okay so its asking whats the cost of one notebook so if you are gonna add you will get 10.30
Four times Audrey’s age plus 7 is Parag’s age. Parag is 51. What is
Audrey’s age?
Answers
Answer:
I think 5.
Step-by-step explanation:
You'd do this backwards.
51 ÷ 4 = 12.75
12.75 - 7 = 5.75.
You could either round that to 6 or keep it at 5.
Answer:
I believe it is 5 or 6. the answer I got was 5.75 so I am leaning towards 6 but I would let someone else answer.
Step-by-step explanation:
ok so we have 51 so then you would divide by 4 and subtract 7.
help!! slove for x, 13x + 47 = 151
Answers
Answer:
Step-by-step explanation:
13x + 47 = 151
subtract 47 from both sides
13x = 104
divide by 13 on both sides
x = 8
What is m∠1?................
Answers
Answer:
144
Step-by-step explanation:
to find the missing angle in side of the triangle we subtract 111 and 33 from 180
180-111-33=36
so the angle inside of the triangle equals 36 to find the one on the outside of the triangle we subtract 36 from 180
180-36 which equals 144 so 1=144
can someone help with my math questions on my page/account?
Answers
Answer:
yepp
Step-by-step explanation:
okkkkkkkkkkkkkkk
the height of the lighthouse is 36.5 m. find the distance of the ship from the lighthouse if it is visible from the ship at an angle of 1 °.
Answers
Answer:
I don't get it send a pic of the question Please I will see if I can help
What's 33 divided by 25.41
Answers
Answer:
1.298701298701
Step-by-step explanation:
hope this helped
Answer:
1.37741046832
Step-by-step explanation:
WILL MARK BRAINLIEST IF EXPLAINED! G with FA and FE tangent at A and E.
Find mADB Find mABD Find mAFE Find mACE
PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER! :)
Answers
Answer:
angle ADB = 41 degrees
angle ABD = 90 degrees
angle AFE = 70 degrees
angle ACE = 31 degrees
Step-by-step explanation:
angle ADB = 41 degrees because minor arc AB = 82 degrees and it's inscribed angle is 1/2 of it's arc.
angle ABD = 90 degrees because arc AED = 180 degrees and inscribed angles are equal to 1/2 of the arc.
arc ABD = 180
arc ABE = arc ABD + 70 degrees = 250 degrees
minor arc AE = 360 degrees-250 degrees = 110 degrees
angle AFE = 1/2 (250-110) = 70 degrees
angle ACE = 1/2(110-48) = 31 degrees
Pleaseee helppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answers
Answer:
5 units
Step-by-step explanation:
Find the equivalent ratio 5:22____ : 66
A.3
B.15
C.5
D.1/5
Answers
Answer:
B: 15
Step-by-step explanation:
22 x 3 = 66, so you have to multiply 5 by 3,
5 x 3 = 15, and there is your answer!
Answer:
your answer is B
Step-by-step explanation:
If you multiply 5x3 you get 15, and if you multiply 22 is 3 you get 66.
5:22 is just a simplified version of 15:66
The average weight of ten bulls is 500kg and the standard deviation of the weight is 30kg. What would be the weight of a bull that is 6 standard deviations above the mean weight
Answers
Answer:
680kg
Step-by-step explanation:
The average weight of ten bulls is 500kg and the standard deviation of the weight is 30kg. What would be the weight of a bull that is 6 standard deviations above the mean weight
The formula to solve for the weight that is 6 standard deviation above the mean weight =
μ + 6σ = w
Where
μ = Mean weight = 500kg
σ = Standard deviation = 30kg
Hence:
w = 500kg + 6(30kg)
w = 500kg + 180kg
w = 680kg
Therefore, the weight of a bull that is 6 standard deviations above the mean weight is 680 kg
Using the normal distribution, it is found that the weight of a bull that is 6 standard deviations above the mean weight is of 680 kg.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, of [tex]\mu = 500[/tex] and of [tex]\sigma = 30[/tex].
The weight of a bull that is 6 standard deviations above the mean weight is X when Z = 6, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]6 = \frac{X - 500}{30}[/tex]
[tex]X - 500 = 6 \times 30[/tex]
[tex]X = 680[/tex]
The weight of a bull that is 6 standard deviations above the mean weight is of 680 kg.
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please help!!!!!!!!!!! 15 points and brainliestor whatever it’s called
Answers
Answer:
The answer should be [tex]9*10^{16}[/tex]
Step-by-step explanation:
Find the distance, c, between (–4, –3) and (2, 1) on the coordinate plane. Round to the nearest tenth if necessary.
Answers
Answer:
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((2-(-4))²+(1-(-3))²)
d=√(6²+4²)
d=√36+16
d=√52
d=7.21110255...
d=7.2
Step-by-step explanation:
d=7.2
The distance between the points on the coordinate plane is 7.2 units.
What is coordinate geometry?Coordinate geometry is the study of geometry using the coordinate points. It provides a link between geometry and algebra through line graphs and curves.
For the given situation,
The points are (x1, y1) be (–4, –3) and (x2, y2) be (2, 1)
The formula for the distance between points,
[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]
On substituting the above points,
⇒ [tex]d=\sqrt{(2-(-4))^{2}+(1-(-3))^{2} }[/tex]
⇒ [tex]d=\sqrt{6^{2}+4^{2} }[/tex]
⇒ [tex]d=\sqrt{52}[/tex]
⇒ [tex]d=7.211[/tex] ≈ [tex]7.2[/tex]
Hence we can conclude that the distance between the points on the coordinate plane is 7.2 units.
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it took Jenny and her family one hour to drive to her grandmother's house her grandmother lives about 45 miles away at what rate did the Family Travel
Answers
Answer:
The family traveled at 45 miles per hour.
Step-by-step explanation:
For the question, calculate the slope of a line that passes through the points given. Remember to reduce all fractions to lowest terms.
(-14, 18), (-16, 14)
Answers
Answer:
the answer is 2 or 2/1 hope this helps
Answer:
In fraction form, the slope is 2/1.
Or, the slope is just 2.
Step-by-step explanation:
Using the equation:
m =
y2 - y1 /
x2 - x1
Plug in the x and y points and solve.
note: m = slope in slope intercept form, y - mx + b
y2 = 14 y1 = 18
x2 = -16 x1 = -14
14 - 18 / -16 -(-14)
-4 / -2
Simplified: -2 / -1
In fraction form, the slope is -2 / -1, or 2/1 because either way works.
Or, the slope is just 2.
Hope this helps! If you have any additional questions, please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe, and please mark brainliest! :)