I need help better understanding these expressions If someone could please give me an explanation on how to do this
Answers
Answer:
Step-by-step explanation:
Related Questions
A wet sock is stuck onto the inner wall of a washing machine drum as it rotates at a steady speed the graph shows the sock displacement y, in inches, from the center of the drum, for a given number of seconds, X what is the diameter of the washing machine drum?
Answers
The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.
How to determine the diameter of the washing machine's drum?To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;
V = fλ
where
V = displacement/time
F = 1/T
But;
Displacement = 10 in
Time = 2 seconds
V = 10/2 = 5 in/s
F = 1/2 = 0.5
λ = 5/0.5 = 2.5in
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Does it take more
inches or feet to equal a given
length? Explain.
Answers
cos xº [Hint: Change degree into radian] find the derivative from definition
Answers
The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)
Finding the derivative of the functionFrom the question, we have the following function definition that can be used in our computation:
cos(xº)
Changing the degree into radian, we have
cos(xπ/180)
Express as a function
So, we have
y = cos(xπ/180)
When the cosine function is differentiated, we have
y' = -sin(xπ/180)
Hence, the differentiated function is y' = -sin(xπ/180)
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The moore family recieved 23 pieces of mail on June 12. The mail consisted of afs,bills,magazines, and letters. How many ads did they recieve if they recieved three more bills than magazines, five more letters than bills and the same number of ads of magazines?
Answers
Answer:
b=4 bills
Step-by-step explanation:
Let
b = number of bills received
a = number of adds received
l = number of letters received
m = number of magazines received
The Moore family received 27 pieces of mail, consisting of bills, ads, letters, and magazines:
b + a + l + m = 27
They received 3 more ads than letters:
a = l + 3
The same number of bills as letters:
b = l
5 more magazines than ads:
m = a + 5
Plug l = b into a = l + 3, we get: a = b + 3
Plug a = b + 3 into m = a + 5, we get: m = b + 3 + 5 that is m = b + 8
Now plug l = b, a = b + 3 and m = b + 8 into b + a + l + m = 27:
b + b + 3 + b + b + 8 = 27
A bus company took a tour bus on the ferry when there were 30 people aboard. The ferry charged the bus company $180. The following week, the bus had 50 people on board and the ferry charged them $220. How much is the "base rate" for the empty bus? hint: look at the difference between number of people and cost to get cost per person and then cost without people
How much does each person cost?
Write an equation to show cost, c, of a bus with x number of people on it
Answers
Answer:
Base rate: $120
Rate: $2 per person
Equation: f(x)=2x+120
Step-by-step explanation:
If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40. This means, \(\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}\).
These values correspond to a base rate for the bus of $120.
The function for the cost per bus with x number of people on it would be:
\(f(x)=2x+100\)
This can be checked by using the values given in the problem:
\(f(30)=2(30)+120=180\\f(50)=2(50)+120=220\)
The base rate of $120 and $2 per person satisfies the given equation and established values.
Suppose a baker claims that the average bread height is more than 15cm. Several of this customers do not believe him. To persuade his customers that he is right, the baker decides to do a hypothesis test. He bakes 10 loaves of bread. The mean height of the sample loaves is 17 cm with a sample standard deviation of 1.9 cm. The heights of all bread loaves are assumed to be normally distributed. The baker is now interested in obtaining a 95% confidence interval for the true mean height of his loaves. What is the lower bound to this confidence interval? 2 cm (round to 2 decimal places) What is the upper bound to this confidence interval? cm (round to 2 decimal places) For the following situations, use RStudio to find the appropriate t-critical values that would be needed to construct a confidence interval. Round all critical values to the second decimal place. 1. n = 15, confidence level is 95%, x= 35 and s = 2.7, t-critical value- 2, n = 37, confidence level is 99%, x= 82 and s = 5.9 t-critical value- 2 3, n 1009, confidence level is 90%, x 0.9 and s-0.04 t- critical value = 2 2
Answers
The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm
To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.
The formula for a confidence interval for the population mean (μ) is:
Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))
For the first situation:
n = 15
Confidence level is 95% (which corresponds to an alpha level of 0.05)
x = 35 (sample mean)
s = 2.7 (sample standard deviation)
Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.
The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.
Plugging the values into the formula:
Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))
Calculating the confidence interval:
Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)
Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)
Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.
For the second situation:
n = 37
Confidence level is 99% (which corresponds to an alpha level of 0.01)
x = 82 (sample mean)
s = 5.9 (sample standard deviation)
The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.
The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.
Plugging the values into the formula:
Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))
Calculating the confidence interval:
Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)
Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)
Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.
For the third situation:
n = 1009
Confidence level is 90% (which corresponds to an alpha level of 0.10)
x = 0.9 (sample mean)
s = 0.04 (sample standard deviation)
The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.
The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.
Plugging the values into the formula:
Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))
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2. A line passes through points (-1,-2) and (1,4). What is the equation of the line? TI
Answers
= 6/-3 = -2 = m. It's negative because as x increases, y decreases
plug that into the point slope formula, with either point. generally use the most simple point
y-h= m(x-k) where m= -2 and (k,h) = (2,-2)
y+2 = -2(x-2)
simply if you want
Y = -2x +4 -2 = -2x +2
or
2x +y = 2
Two aircrafts travel from the position P(30°N, 130°W) to Q (50°N, 170°E) all leaving at 0845hrs and at the same speed of 500km/hr. Aircraft A travels due north to the position (50°N, 130°W) and then along a parallel of latitude using the shortest route. Aircraft B travels along a parallel of latitude (30°N, 170°E) and then due north.
(a) If a third aircraft C had left a point R (30°N, 10°W) at the same time as the two above aircrafts left P and flew via the shortest possible distance to point Q, calculate its position when the aircraft A was passing the longitude 180°W. (b) Calculate the arrival local time of the two aircrafts. (5mks) (5mks)
Answers
(a) The time taken by aircraft C to travel the distance from R to the longitude 180°W is 25.92 hours
(b) Since aircraft A departed at 08:45 hrs, the arrival time would be:
Arrival time is 13:14 hrs
Aircraft A would arrive at approximately 13:14 hrs, and aircraft B would arrive at approximately 21:01 hrs local time.
To calculate the position of aircraft C when aircraft A was passing the longitude 180°W, we need to determine the distance and direction between R (30°N, 10°W) and Q (50°N, 170°E) via the shortest route.
Distance between R and Q:
The latitude difference between R and Q is 50°N - 30°N = 20°. As each degree of latitude is approximately 111 km, the distance in terms of latitude is 20° × 111 km = 2,220 km.
The longitude difference between R and Q is 170°E - 10°W = 180°.
At the latitude of 40°N (midpoint between 30°N and 50°N), each degree of longitude is approximately cos(40°) × 111 km = 70.7 km.
The distance in terms of longitude is 180° × 70.7 km = 12,726 km.
Using the Pythagorean , the shortest distance between R and Q is:
Distance = √((2,220 km)² + (12,726 km)²)
≈ 12,960 km
Speed of aircraft C is 500 km/hr.
The time taken by aircraft C to travel the distance from R to the longitude 180°W is:
Time = Distance / Speed
= 12,960 km / 500 km/hr
≈ 25.92 hours
Since the aircraft A and aircraft C departed at the same time, when aircraft A was passing the longitude 180°W, aircraft C would also be at the same longitude, assuming they maintained a constant speed.
(b) To calculate the arrival local time of the two aircraft, we need to consider the time taken for each leg of their respective routes.
For aircraft A:
Distance from P to (50°N, 130°W) = (50°N - 30°N) × 111 km/degree
= 2,220 km
Time taken = Distance / Speed
= 2,220 km / 500 km/hr
= 4.44 hours
Since aircraft A departed at 08:45 hrs, the arrival time would be:
Arrival time = Departure time + Time taken
= 08:45 + 4.44 hours
≈ 13:14 hrs
For aircraft B:
Distance from (30°N, 170°E) to Q = (170°E - 130°W) × cos(40°) × 111 km/degree = 6,282 km
Time taken = Distance / Speed
= 6,282 km / 500 km/hr
= 12.564 hours
Since aircraft B departed at 08:45 hrs, the arrival time would be:
Arrival time = Departure time + Time taken
= 08:45 + 12.564 hours
≈ 21:01 hrs
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In how many ways can the letters of the word CARPET be arranged
Answers
Answer: In so many ways ;
acre cape care carp cart cate pace pact pare part pate pear peat pert prat race atrapt rate reap race tape tare tarp tear tepatrapace act ape apt arc are art ate cap car cat cep ear eat era pack par pat pea pec per pet rap rat rec rep ret tap tar teaAnd so on .
720
Explanation:you would be using permutation i believe
because carpet has 6 letters you have six placement options
_x_x_x_x_x_
if you can only use the letters once
you can put all letters in p1
so 6x_x_x_x_x_
but because of that you would only be able to put all but one in p2 and one less than p2 in p3 going all the way to 1 in the last
so 6x5x4x3x2x1
i might be wrong but this has worked for me
3
a)
b)
c)
Elana wants to use her grandmother's old biscuit recipe:
BISCUIT RECIPE
INGREDIENTS
1 cups flour
cup suger
2 tsp baking powder
tsp salt
cup cream
METHOD
Preheat the oven to 350 F
Mix all the ingredients.
Roll the dough into 7
Place on baking tray, 1 inch apart.
Bake for 20 minutes.
inch rounds.
Elana must roll the dough into 7
Convert the measurement to cm.
Rewrite all the ingredients using either grams or millilitres.
What temperature should Elana heat the oven to?
Write your answer in °C.
inch rounds.
OUMA'S
BAKING
RECIPES
d)
How far apart should the biscuits be on the baking tray?
Write your answer in cm.
Mandisa is going to the United States of America.
This is her itinerary:
Nihal bakes a pie. The recipe says the oven must be set at 450 °F.
What is the temperature in °C?
Was
Today
Sep 21
ST
67 °F
75 °F
Disney Wo
Today
Sep 21
IT
76 °F
91 °F
Califor
Toda
Sep
Answers
The biscuits should be placed 2.54 centimeters apart on the baking tray.
What is the unitary method?
The unitary method is a way for solving a problem by the first value of a single unit and than finding the value by multiplying the single unit. Unitary method is a technique by which we can find the value of a single value from the value of more than one devices and the value of more than one unit from the value of a single unit. We can this method use for most of the calculations in math.
We are given that;
Elana must roll the dough into 7 inch rounds.
a) To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, 7 inches is equal to:
7 inches x 2.54 centimeters/inch = 17.78 centimeters
So, Elana must roll the dough into 17.78 centimeter rounds.
b) To rewrite all the ingredients using grams or milliliters, we need to know the density of each ingredient. Assuming that the density of each ingredient is the same as that of all-purpose flour (which is approximately 125 grams per cup), we can convert the measurements as follows:
1 cup flour = 125 grams flour
1/2 cup sugar = 100 grams sugar
2 teaspoons baking powder = 10 grams baking powder
1 teaspoon salt = 5 grams salt
1/2 cup cream = 120 milliliters cream (assuming a density of 1 gram per milliliter)
So, the rewritten ingredients are:
125 grams flour
100 grams sugar
10 grams baking powder
5 grams salt
120 milliliters cream
c) The recipe states that the oven should be preheated to 350 °F. To convert this temperature to Celsius, we can use the formula:
Celsius = (Fahrenheit - 32) x 5/9
So, the temperature in Celsius is:
Celsius = (350 - 32) x 5/9 = 176.67 °C
Therefore, Elana should heat the oven to 176.67 °C.
d) The recipe states that the biscuits should be placed on the baking tray 1 inch apart. To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, the biscuits should be placed on the baking tray:
1 inch x 2.54 centimeters/inch = 2.54 centimeters
Therefore, by unitary method answer will be 2.54 centimeters.
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Which data set has the same standard deviation as the data set {3, 2, 5, 6, 8} ? {1, 2, 1, 2, 1} {1, 3, 4, 7, 9} {4, 4, 5, 5, 5} {4, 3, 6, 7, 9}
Answers
Answer:
{3,2,5,6,8} and {4,3,6,7,9}
Step-by-step explanation:
-1, +3, +1, +2
Find the value of the annuity and the interest. Round to the nearest dollar.
Periodic Deposit: $100 at the end of each year
Rate: 4% compounded annually
Time: 9 years
Answers
The value of the annuity after 9 years is approximately $1,044.56. The interest earned on the annuity after 9 years is approximately $244.56.
What is annuity?A financial contract known as an annuity offers a series of recurring payments over a predetermined length of time. A monthly, quarterly, or annual payment schedule is available when buying an annuity from an insurance provider. The payments are made until the annuitant's death or for a predetermined amount of time.
Deferred annuities and immediate annuities are the two categories under which annuities fall. Deferred annuities are a particular kind of annuity where the payments are postponed for a predetermined amount of time, typically several years. On the other hand, an instant annuity starts paying out as soon as the annuity is bought.
The value of annuity is given by the formula:
\(A = P * ((1 + r)^n - 1) / r\)
Substituting the given values we have:
\(A = $100 * ((1 + 0.04)^9 - 1) / 0.04\\A = $100 * (1.04^9 - 1) / 0.04\)
A ≈ $1,044.56
Hence, the value of the annuity after 9 years is approximately $1,044.56.
Now, the interest is givn as:
Interest = A - (P * n)
Substituting the values we have:
Interest = $1,044.56 - ($100 * 9)
Interest ≈ $244.56
Hence, the interest earned on the annuity after 9 years is approximately $244.56.
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Please help and explain
True or False: The magnitude of a resultant vector will always be larger than individual vectors that are both in the first quadrant
Answers
Answer:true
Step-by-step explanation:
solve for x what is the answer
Answers
T = 60°
Step-by-step explanation:
Angle S = 180° - 150° = 30°
Angle U = 90°
Therefore, angle T is given by
S + U + T = 180
30° + 90° + T = 180°
or
Angle T = 60°
with any set of scores that is normally distributed what percentage of the total area falls,
1. between the mean and a score that lies one standard deviation below the mean?
2. above a score that lies one standard deviation below the mean and one standard deviation above the mean?
3. between a score that lies two standard deviations below the mean and two standard deviations above the mean?
Answers
Answer:
1.) Approximately 68%We can summarize use of the standard deviation as a yardstick with the Empirical Rule, also known as the 68-95-99.7% Rule. In any normal distribution with mean μ and standard deviation σ : Approximately 68%of the data fall within one standard deviation of the mean.
Step-by-step explanation:
group the first two terms by underline the first two terms 16x^3-4x^2-4x+1
Answers
Answer:
Terms are the things that are separated by a (+) or a (-).
Step-by-step explanation:
16x^3 - 4x^2 -4x+1
I don't think I'm right...
Michal got a $50 gift card to an online music store. He bought an $10 album.He wants to buy songs that cost $1.25? Per song. Write and some solve an inequality to find the most songs he can.
Answers
Answer:
Step-by-step explanation:
Step-by-step explanation:
Given that:
Worth of gift card = $50
Cost of album purchased = $10.00
Cost per song to purchase = $1.25
Number of songs to purchase = n
Inequality to model the situation :
Cost of album + cost per song * (Number of songs) ≤ worth of gift card
$10.00 + ($1.25 * n) ≤ $50
$10.00 + $1.25n ≤ $50
Part A:
A truck delivers 34 cases of soup to a store . Each case holds 8 cans of soupThe store manager plans to place 9 cans on each shelf. What is the fewest number of shelves the manager will need for all of the cans of soup delivered by the truck?
Part B:
The same truck delivers 9 cases of canned corn. Each case holds 36 cans of When the cases are unpacked 15 of the cans are missing. The store manager places 7 cans of corn on cach shelf. What is the fewest number of shelves the manager will need for all of the cans of corn delivered by the truck?
Write out the equations that represent Part A and Part B.
Answers
Part A: Number οf cans delivered = 34 cases × 8 cans per case = 272 cans
Number οf shelves needed = ceil(272 cans ÷ 9 cans per shelf) [where ceil() represents the smallest integer greater than οr equal tο the result οf the divisiοn]
Number οf shelves needed = ceil(272 ÷ 9) = ceil(30.222) ≈ 31 shelves
Equatiοn: ceil(34 × 8 ÷ 9) = ceil(272 ÷ 9) = ceil(30.222) ≈ 31 shelves
What is equatiοn ?An equatiοn is a statement that twο mathematical expressiοns are equal tο each οther. It typically cοnsists οf variables, cοnstants, and mathematical οperatiοns, and it may alsο include functiοns, expοnents, and οther mathematical symbοls.
Equatiοns are used tο represent relatiοnships between quantities in mathematics and tο sοlve prοblems in variοus fields such as physics, engineering, and ecοnοmics.
Part B: Number οf cans delivered = 9 cases × 36 cans per case = 324 cans
Number οf missing cans = 9 cases × 15 missing cans per case = 135 missing cans
Number οf cans received by stοre manager = 324 cans - 135 missing cans = 189 cans
Number οf shelves needed = ceil(189 cans ÷ 7 cans per shelf)
Number οf shelves needed = ceil(27) = 27 shelves
Equatiοn: ceil((9 × 36) - (9 × 15)) ÷ 7 = ceil(189 ÷ 7) = ceil(27) = 27 shelves
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Choose the system of inequalities that best matches the graph below.
Answers
Answer:
"D" is the correct answer
Step-by-step explanation:
5.
Are the graphs of the lines in the pair parallel? Explain.
y = 3/7 + 11
–3x + 7y = 13
A. No, since the slopes are different.
B. No, since the y-intercepts are different.
C. Yes, since the slopes are the same and the y-intercepts are the same.
D. Yes, since the slopes are the same and the y-intercepts are different.
Answers
Answer:
D. Yes, since the slopes are the same and the y-intercepts are different.
Step-by-step explanation:
yes because both line have a slope of .857/2
...................................................................................................................................................
yes; both have a slope of 3/7
...................................................................................................................................................
Yes. They have the same slope.
Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work.
It's not 84m
Answers
Answer:
224 m^3
Step-by-step explanation:
Volume = l x w x h
V = 8 x 4 x 7
V = 32 x 7
V = 224 m^3
Have a great day! :D
Answer:
224m³
Step-by-step explanation:
volume =surface area ×height
thus surface area=l×w (since its a rectangle)
V=l×w×h
V=8×4×7
V=224m³
What is the greatest common factor of 5 and 21?
Answers
Step-by-step explanation:
5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100,105
21,42,63,84,105
(the common factor is 105/105
A teapot,which has a capacity of one and half litters, can fill six identical mugs with tea.what is the capacity of the six mugs altogether?
Answers
Answer:250
Step-by-step explanation:
Your total monthly bill (T
) from the Electric and Gas Company depends on how much electricity and how much gas you use each month. For every kilowatt hour of electricity (k
) you use, you are charged $0.25
and for each therm (t
) of gas used you are charged $0.97
.
Which of the following equations represents the relationship between electricity and gas used and your bill?
Answers
The equation representing the relationship between Electricity and Gas used, and your Bill is:
T = 0.25 * k + 0.97 * t
Step-by-step explanation:
Make a plan:
We need to find the equation that represents the relationship between the total monthly bill (T), The Kilowatt Hours of Electricity used (k), and the Terms of Gas used (t).
T = 0.25 * k + 0.97 * t
Solve the problem:
1 - Write the Equation for the cost of Electricity:
0.25 * k
2 - Write the Equation for the Cost of Gas:
0.97 * t
3 - Combine the Equations to Represent the total Monthly Bill (T):
T = 0.25 * k + 0.97 * t
Draw the Conclusion:Hence, The equation representing the relationship between Electricity and Gas used, and your Bill is:
T = 0.25 * k + 0.97 * t
I hope that helps!
Please help solve 12-14
( will give brianlst :))
Answers
Answer:
-2
Step-by-step explanation:
12-14=-2. -2+ 14=12
Answer:
-2
Step-by-step explanation:
12-14 is -2
I hopeeeee this answer helps u but u can really use a calculator bro
Nathan deposits $170 into a savings account that pays 2.25% simple interest annually. If Nathan makes no deposits or withdrawals, how much money will he have in his savings account after 2 years?
Answers
Answer:
SI=P*R*T/100
SI=270*2.25*2/100
SI=7.65
TOTAL AMOUNT=7.65+170=177.65
Is the ordered our (-2,8) a solution to: y-9=3x
Answers
It is not a solution
1) To get to know that, we need to plug it in the equation and check whether it is true or false.
2) Picking point (-2,8) and plugging -2 into x and 8 into y, we get:
\(\begin{gathered} y-9=3x \\ (8)-9=3(-2) \\ -1=-6\:False \end{gathered}\)2) Hence, we can tell that (-2,8) is not a solution to that equation
Shawn downloads movies at a base price of $2 per movie. If he downloads 5 movies, he will get a 25% discount. How much will Shawn save on the base price if he downloads 5 movies?
Answers
Answer:
$7.50
Step-by-step explanation:
10/4=2.5
10-2.5=7.5
Answer:
$2.50 will be saved
Step-by-step explanation:
Just took the test!
Joseph has a bag filled with 2 red, 6 green, 15 yellow, and 7 purple marbles. Determine P(not green) when choosing one marble from the bag.
A. 90%
B. 80%
C. 60%
D. 20%
Answers
Answer: B. 80%
Step-by-step explanation:
P(not green) means that Joseph will pick a marble that is either red, yellow, or purple.
First, we must find the total number of marbles by adding every marble of every color: 2 + 6 + 15 +7 = 30
Now, we need to find the total of marbles that are not green: 2 + 15 + 7 = 24
Now, to solve, we set up this fraction: not green/total marbles = 24/30 = 0.8
0.8 is equivalent to 80% when in percent form. Hope this helps!
Answer: B. 80%
hope this helped :)
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.)
Maximize p = x + 2y subject to
x + 3y ≤ 22
2x + y ≤ 14
x ≥ 0, y ≥ 0.
p = (x,y) =
Answers
Answer:
(x,y)=(0,7.333)
Step-by-step explanation:
We are required to:
Maximize p = x + 2y subject to
x + 3y ≤ 22 2x + y ≤ 14 x ≥ 0, y ≥ 0.The graph of the lines are plotted and attached below.
From the graph, the vertices of the feasible region are:
(0,7.333)(4,6)(0,0)(7,0)At (0,7.333), p=0+2(7.333)=14.666
At (4,6), p=4+2(6)=4+12=16
At (0,0), p=0
At (7,0), p=7+2(0)=7
Since 14.666 is the highest, the maximum point of the feasible region is (0,7.333).
At x=0 and y=7.333, the function p is maximized.
