In referring to "the history of the present King," Jefferson is of course referring to King George III, whose reign began in 1760. It was during his reign that the disagreements and tensions between the Americans and the British government became acute. Prior to his reign, American relations with the British were often strained, but never to the point of an open break. There had been long quarrels between the American colonial legislatures, elected by the people, and officials appointed by the king, over policy and taxes. But now, as the Declaration charted, King George's actions displayed the intention of establishing "an absolute Tyranny over these States." This was strong language indeed, and it reflected the Americans' conviction that the British government was no longer content to allow the colonies to govern themselves, in most of their affairs, through assemblies elected in America.
The King is said to aim at tyranny. This means that there is a pattern of events showing that the king has repeatedly denied the right of the American colonies to govern themselves through their own elected legislatures, and that he has repeatedly failed to secure their rights to life, liberty, and the pursuit of happiness. Therefore, in each one of the charges that follow, there is an implicit or explicit claim that the king has either violated the purpose of government ("to secure these rights"), or the principle of government by consent.
The length of the list of "injuries and usurpations" which follows is meant to demonstrate that the King has acted tyrannically, not just once or twice, but repeatedly and over a long period. His more recent actions are particularly destructive of American rights. This explains why the Americans are justified in resorting to revolution. If his misbehavior had been only occasional, prudence would have dictated that the revolution not be undertaken. But the King's actions can only be recognized as tyrannical in light of the self-evident truths listed previously. They are the ultimate justification for the American Revolution and the American founding.
What is Tyranny?
Tyranny may be defined, from the point of view of the Declaration, as a form of government that violates the principles of the consent of the governed and securing the unalienable rights of the people, and so may be rightfully resisted. The point of the long list of the charges against the King was to demonstrate to all the world that King George was a tyrant.
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The probabilities of Bola passing English and Mathematics are x and respectively. y Find the probability of the boy failing both tests
Answer:
Step-by-step explanation:
Prob (passing English) = x
Prob (passing Math) = y
Prob (Failing English) = 1 -x
Prob (Failing Math) = 1 -y
Prob (Failing both test) = Prob (failing English) and Prob (failing Maths) = (1 - x)(1 - y)
so the answer is =1 - (x - y)+xy
Which of the following characteristics of a distribution change when you multiply a constant to every value? Check all answers that apply. Mean O Shape Standard Deviation O Variance Maximum Third Quartile Interquartile Range
The characteristics that change are Mean, Standard Deviation, Variance and Maximum.
When you multiply a constant to every value in a distribution, the following characteristics change:Mean, Standard Deviation, Variance and Maximum.Explanation:We know that the multiplication of a constant to each value in a distribution changes the scale of the distribution but not its shape. The mean, standard deviation, variance, and maximum are all affected by multiplying a constant to each value in a distribution.
The mean is calculated by dividing the sum of the observations by the number of observations, so if we multiply each value by a constant, we will also need to multiply the denominator by the same constant, resulting in a new mean. The standard deviation and variance are calculated from the mean, so if we change the mean, we will also change these values. And finally, multiplying a constant to each value will simply result in the maximum value increasing by the same factor, but it will not affect the third quartile or interquartile range.
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please help I don't get it
2. Using proportion, the value of x = 38, the length of FC = 36 in.
3. Applying the angle bisection theorem, the value of x = 13. The length of CD = 39 cm.
What is the Angle Bisector Theorem?The Angle Bisector Theorem states that in a triangle, an angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides of the triangle.
2. The proportion we would set up to find x is:
(x - 2) / 4 = 27 / 3
Solve for x:
3 * (x - 2) = 4 * 27
3x - 6 = 108
3x = 108 + 6
Simplifying:
3x = 114
x = 114 / 3
x = 38
Length of FC = x - 2 = 38 - 2
FC = 36 in.
3. The proportion we would set up to find x based on the angle bisector theorem is:
13 / 3x = 7 / (2x - 5)
Cross multiply:
13 * (2x - 5) = 7 * 3x
26x - 65 = 21x
26x - 21x - 65 = 0
5x - 65 = 0
5x = 65
x = 65 / 5
x = 13
Length of CD = 3x = 3(13)
CD = 39 cm
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volume of a cylinder is 1540 cm³ and the difference of its height and radius is 3 cm, then find the total surface area of the cylinder. Ans: 748 cm²
The total surface area of the cylinder is approximately 748 cm².
To solve this problem
Let the height of the cylinder be h and the radius be r. We are given that the volume of the cylinder is 1540 cm³:
V = πr²h = 1540
We are also given that the difference between the height and radius is 3 cm:
h - r = 3
Solving the second equation for h, we get:
h = r + 3
Substituting this expression for h into the first equation, we get:
V = πr²(r + 3) = 1540
Expanding the expression, we get:
πr³ + 3πr² - 1540 = 0
We can solve this cubic equation to find the value of r using numerical methods . The value of r turns out to be approximately 7.32 cm.
Substituting this value of r into the expression for h, we get:
h = r + 3 = 10.32 cm
Now we can use the formula for the total surface area of a cylinder:
A = 2πrh + 2πr²
Substituting the values of r and h, we get:
A = 2π(7.32)(10.32) + 2π(7.32)²
Simplifying the expression, we get:
A ≈ 748 cm²
Therefore, the total surface area of the cylinder is approximately 748 cm².
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I need help understanding this question
Answer: what question i don't see it but you can try reading it again and writing it down
Find the value of x in each case:
Answer:
x=19°
Step-by-step explanation:
Angles ∡DBE ≅ ∡ACD= 3x reason - angles with parallel arms
Angles ∡ADC and ∡ADB=95° are supplemental angles which means
∡ADC + ∡ADB=180° => ∡ADC = 180° - ∡ADB= 180°-95°= 85°
In the triangle we have ∡ADC + ∡ACD + ∡CAD = 180° =>
85 + 3x + 2x = 180 => 85 + 5x = 180 => 5x= 180-85 => 5x=95
x=95/5 => x=19°
Good luck!!!
The dataset esdcomp was recorded on 44 doctors working in an emergency service at a hospital to study the factors affecting the number of complaints received. (a) Consider the rate of complaints in terms of the number received in relation to the number of patient visits made. Plot this against each of the four potential predictors and comment on the relationships. (b) Fit a binomial GLM for the number of complaints out of the number of vis- its with the other four variables as predictors. Does this model fit the data? Perform this check numerically and graphically. (c) Check the significance of the four predictors in the binomial model. Give a numerical interpretation to the effect of any significant predictors. (d) Fit an appropriate Poisson rate model for number of complaints that takes a comparable form to the binomial GLM fitted earlier. Does this model fit the data? Again check this numerically and graphically. (e) Again check the significance of the predictors and provide a numerical inter- pretation. Compare the conclusions of the two models. (f) Exchange the role of hours and visits in the Poisson rate model. Again check the significance of the predictors and interpret the outcome. (g) Compare the two proposed rate models.
We may prefer one model over the other for predicting the number of complaints based on the given predictor.
Why prefer one model over the other for predicting the number of complaints based on the given predictor?To plot the rate of complaints in relation to the potential predictors, we can use scatterplots. The four potential predictors are: hours worked per week, years of experience, number of visits made, and the number of procedures carried out. We can plot the rate of complaints (complaints per visit) against each of these predictors and observe the relationships.
To fit a binomial GLM for the number of complaints out of the number of visits, we can use the glm() function in R. We will set the family argument to "binomial" since the response variable is binary. We can then check the goodness of fit of the model using diagnostic plots such as the residuals vs. fitted values plot and the Q-Q plot of the residuals.
To check the significance of the predictors in the binomial model, we can use the summary() function to obtain the p-values for each predictor.
A significant predictor would have a p-value less than the significance level (usually 0.05). We can also interpret the effect of significant predictors by looking at the estimated coefficients in the model output.
To fit a Poisson rate model for the number of complaints, we can use the glm() function again, but this time with the family argument set to "poisson". We can then check the goodness of fit of the model using the same diagnostic plots as before.
To check the significance of predictors in the Poisson model, we can use the summary function again to obtain the p-values. We can interpret the effect of significant predictors in a similar way as before. We can compare the conclusions of the binomial and Poisson models by comparing the estimated coefficients and their significance.
To exchange the role of hours and visits in the Poisson rate model, we can simply switch the order of the predictor variables in the model formula. We can then check the significance of the predictors and interpret the outcome as before.
We can compare the two proposed rate models by comparing their goodness of fit and the significance of their predictors. We can also compare the estimated coefficients and their interpretations. Depending on the results, we may prefer one model over the other for predicting the number of complaints based on the given predictors.
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Find the circumference using the formula.
Calculate your answer to the nearest hundredth.
Hello!
\(\large\boxed{C = 21.98in}\)
Use the equation C = dπ to solve:
π ≈ 3.14
C = 7 × 3.14
C ≈ 21.98 in
Write an equation in point-slope form of the line that passes through the point (−3,6) and has a slope of 5.
Answer:
Below in bold.
Step-by-step explanation:
Point slope form is y - y1 = m(x - x1)
where m = the slope of the line and (x1, y1) is a point on the line.
Here m = 5, x1 = -3 and y1 = 6.
So we have:
y - 6 = 5( x - (-3))
y - 6 = 5(x + 3) (Answer)
How is the game fee related to the fee with shoe rentals?
Answer: The cost of each game increases the price by $4.
Step-by-step explanation: More
A parallelogram what is the order of rotational symmetry for the parallelogram?
A parallelogram possesses rotational symmetry of order 2, but no line symmetry.
What is rotational symmetry?Geometrically speaking, a shape exhibits rotational symmetry when it retains its appearance following a little amount of rotation by a partial turn. The number of different orientations in which an object appears exactly the same for each rotation is known as the degree of rotational symmetry.The least angle at which the figure can be rotated to coincide with itself is known as the angle of rotational symmetry. The number of times a figure coincides with itself while rotating through 360 degrees is known as the order of symmetry. Example: The rotational symmetry of a regular hexagon.The rotational symmetry of a parallelogram:
A parallelogram lacks line symmetry and has rotational symmetry of order 2.Therefore, a parallelogram possesses rotational symmetry of order 2, but no line symmetry.
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Answer:
in picture ....
Step-by-step explanation:
Vertices of XYZ are X(-3,3.3),Y(-3,-5.2), and Z(4.5,-5.2) what is distance between points X and Y
The distance between the points X(-3,3.3) and Y(-3,-5.2) is 8.5 units.
Distance formula can be used to calculate the distance between two points in a plane. The distance formula for two points (x1,y1) and (x2,y2) is given by: d=√(x₂-x₁)²+(y₂-y₁)² where, d is the distance between two points (x1,y1) and (x2,y2).
From the question, vertices of XYZ are X(-3,3.3), Y(-3,-5.2), and Z(4.5,-5.2). The distance between points X and Y can be calculated by substituting the values of x₁, y₁, x₂, y₂ as -3, 3.3, -3, and -5.2 respectively into the distance formula: d=√((-3) - (-3))² + ((-5.2) - 3.3)²=√0²+(-8.5)²=√72.25=8.5. Therefore, the distance between the points X(-3,3.3) and Y(-3,-5.2) is 8.5 units.
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Find f(-4), f(0) for the function
f(x) = 1/4x+2
f(-4) = 1
f(0) = 2
Step-by-step explanation:
1. f(x) = 1/4x+2
Just replace -4 in every position of x
f(-4) = ¼ × (-4) + 2
f(-4) = -1 +2
f(-4) = 1
2. f(x) = 1/4x+2
Same procedure. Replacing x with 0
f(0) = ¼ × 0 +2
f(0) = 0 + 2
f(0) = 2
Have a good day!
Please help 60 points for a rapid answer-In the figure below which of the following is true in circle E?
Answer:
all 3 options are true : A, B, C
Step-by-step explanation:
warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.
they say that A and C are correct.
but I am going to show you that if A and C are correct, then also B must be correct.
therefore, my given answer above is the actual correct answer (no matter what the test systems say).
originally the information about the alignment of the point F in relation to point E was missing.
therefore, I considered both options :
1. F is on the same vertical line as E.
2. F is not on the same vertical line as E.
because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :
the vertical line of EF is like a mirror between the left and the right half of the picture.
A is mirrored across the vertical line resulting in B. and vice versa.
the same for C and D.
this leads to the effect that all 3 given congruence relationships are true.
if we consider assumption 2, none of the 3 answer options could be true.
but if the assumptions are true, then all 3 options have to be true.
now, for the "why" :
remember what congruence means :
both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.
for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.
so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.
therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.
but do you notice something ?
both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.
now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.
therefore, AC must be equal to BD.
and that means that AC is congruent to BD.
because lines have no other congruent criteria - only the lengths must be identical.
How do you write 7.824 x 108 in standard form?
9514 1404 393
Answer:
782,400,000
Step-by-step explanation:
You can multiply it out:
7.824 × 100,000,000 = 782,400,000
_____
With reference to the place value chart attached, the digit immediately to the left of the decimal point in the mantissa has the place value indicated by the power of ten.
a multiple-choice test has 27 questions. each question has 5 possible answers, of which only one is correct. what is the probability that sheer guesswork will yield exactly 18 correct answers? o 18c5(-2)5(.8)13
Using the Binomial probability distribution,
the probability that sheer guesswork will yield exactly 18 correct answers is ²⁷C₁₈(0.2)¹⁸(0.8)⁹
We have given that,
total number of multiple choice questions= 27
each question has number of possible answer
= 5
but only one is correct .
we have to find out the probability that sheer guesswork will yield 18 correct answer.
P(C) = probability of answering any question correctly = (1 / 5) = 0.2
P(W) = probability of answering any question wrongly = (4/ 5) = 0.8
Using the Binomial probability distribution,
P(X= x) = ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾
Probability of answering exactly 18 questions correctly = P(X=18) = ²⁷C₁₈(0.2)²⁸(0.8)⁹
Hence, the probability value is ²⁷C₁₈(0.2)²⁸(0.8)⁹
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Which best describes the graph of the cubic function f(x) = x3 x2 x 1?.
Graph of a function is plotting of its input and corresponding output. The graph of the considered cubic function is attached below.
How do we make graph of a function?Suppose the considered function whose graph is to be made is \(f(x)\)
The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values \(f(x)\)
are plotted on the vertical axis.
They are together plotted on the point
\((x,y) = (x, f(x))\)
This is why we usually write the functions as:
\(y = f(x)\)
For the considered function \(f(x) = x^3 +x^2 +x + 1\) is attached below.
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2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.
The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.
The hypotheses for the test are:
H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.
To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.
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HELP ASAP WILL GIVE BRAINLEST TO CORRECT ANSWER
What is the circumference of a circle with a diameter of 3 feet? Use 3.14 for pi
diameter = 3 ft
A. 4.71 ft
B. 9.42 ft
C. 18.84 ft
D. 7.07 ft
Circumference = Pi x diameter
Circumference = 3.14 x 3 feet
Circumference = 9.42 feet.
The answer is B. 9.42 feet
Simplify by combining like terms: 3x−2y−7+5y−x
Answer:
2x + 3y - 7
Step-by-step explanation:
3x − 2y − 7 + 5y − x =
2x - 2y - 7 + 5y =
2x + 3y - 7
By combining like terms 3x−2y−7+5y−x is x(3 - 1) +y(5 -2) -7.
What are like terms ?In mathematics like terms are those terms which has same variable and they must have exactly same exponent like we can not combine x and x² by addition and subtraction reason is although they are a same variable in x but their power is not same.
We can of course multiply x and x² which is x³.
According to the given data
3x−2y−7+5y−x we have combine by like terms so,
3x−2y−7+5y−x can be written as
3x - x +5y - 2y - 7
x(3 - 1) +y(5 -2) -7.
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Help fill in these boxes i know this is for biology but at the biology place everyone is a-f-k , its a dead subject not soo many people help there.
I apologize for the inconvenience, but I'm here to help you with any questions you have. Please provide the specific boxes you need help with, and I'll do my best to assist you.
I'm sorry to hear that you're not receiving the assistance you need at the biology place. I'm here to help you with any biology-related questions you have.
As an AI language model, I have knowledge in various subjects, including biology. If you provide specific details or questions related to biology, I'll be glad to assist you. Whether it's concepts, terminology, processes, or any other area within biology, feel free to ask, and I'll provide you with information and explanations to the best of my ability.
Biology encompasses a wide range of topics, such as cell biology, genetics, physiology, ecology, evolution, and more. So, if you have questions or need help with specific boxes or aspects related to biology, please provide the details, and I'll try my best to assist you with accurate and helpful information.
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A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $79. A season ski pass costs $350. The skier would have to rent skis with either pass for $30per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes?
Answer:
Let s =cost of skiing per day. Here's what we know:
450 + 20s = 64s + 20s (the season pass plus ski rentals equates to daily skiing plus ski rentals)
We have 20s on both sides, so those cancel out easily:
450 = 64s
Divide both sides by 64:
7.03 ≈ s
You can't pay for a partial day, so the skier will have to ski for at least 8 days to make the season pass cheaper than getting daily passes.
Step-by-step explanation:
Hope this helps :D
Solve the following LP model using graphical method: Maximize Z=x−2y
s.t.
x−y≥0
x+2y≤4
x≥0
y≥−1
The optimal solution is x = 2, y = 0, and the maximum value of Z is Z = 2 - 2(0) = 2. To solve the given linear programming (LP) model using the graphical method, we need to graphically represent the feasible region and find the optimal solution by maximizing the objective function.
Step 1: Graph the Constraints
We start by graphing each constraint individually on a coordinate plane.
The first constraint is x - y ≥ 0, which represents the line y = x. We can draw this line on the plane.
The second constraint is x + 2y ≤ 4. To graph this, we can rewrite it as 2y ≤ -x + 4 and then solve for y, which gives y ≤ (-1/2)x + 2. We can plot this line on the graph as well.
The third constraint x ≥ 0 represents the x-axis, and the fourth constraint y ≥ -1 represents the horizontal line y = -1.
Step 2: Identify the Feasible Region
The feasible region is the area where all constraints are satisfied. It is the intersection of the shaded regions formed by the constraints.
Step 3: Identify the Optimal Solution
To find the optimal solution, we need to maximize the objective function Z = x - 2y. The objective function is represented by a line with a positive slope.
By sliding the objective function line parallel to itself from left to right or right to left, we can observe the points of intersection between the objective function line and the feasible region. The point that gives the maximum value of Z within the feasible region is the optimal solution.
Step 4: Determine the Optimal Solution
By visually inspecting the graph, we can see that the objective function line will intersect the feasible region at the corner point (2, 0). This is the optimal solution for the given LP model.
Therefore, the optimal solution is x = 2, y = 0, and the maximum value of Z is Z = 2 - 2(0) = 2.
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Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:i think is the fourth one or the fifth one.
Step-by-step explanation:
Answer:
california
Step-by-step explanation:
translate 22% of b into an expression
Answer:
11/50b
Step-by-step explanation:
22% of b = 22/100×b
= 11/50b
Give the quotient in simplest form:
Answer:
exact form
141/92
Decimal form
1.53
mixed number form
1 49/92
hope this helps
Answer:
\(\frac{141}{92}\)
Step-by-step explanation:
1) First, convert the mixed numbers to improper fractions.
\(5\frac{7}{8}\) ÷ \(3\frac{5}{6}\\\)
\(=\frac{47}{8}\) ÷ \(\frac{23}{6} \\\)
2) To divide fractions, find the reciprocal of the second fraction by flipping it, or switching the places of its numerator and denominator. Then, multiply the two fractions by multiplying their numerators and denominators together. Then, simplify the result to find the answer.
\(\frac{47}{8}\) × \(\frac{6}{23}\)
\(=\frac{282}{184} \\=\frac{141}{92}\)
how many different ways could i choose three shirts to pack for a weekend trip, if i have 12 shirts to choose from? assume the shirts are selected without replacement.a. 12! / 3!b. 12! / 9!c. 12! / 8! 4!d. 12! / 9! 3!
Answer:
A
Step-by-step explanation:
According to the given question.
Total number of shirts, n = 12
Number of shirts to be selected, r = 3
As we know, the total number of ways of selection of r objects from n objects at a time without replacement is given by
C(n, r) = n!/r!(n - r)!
PLEASE HELP ME ! A rectangle has length of 10ft and of 6th . what's the perimeter ? A. 16 ft B. 32 ft C. 26 ft D. 60 ft
Answer:
B
Step-by-step explanation:
There are 2 sides of a rectangle that have a length of 10 and another pair for 6.
The perimeter is when you add all of them together.
(10 x 2) + (6 x 2) = Perimeter
20 + 12 = Perimeter
32 = B = Perimeter
Answer:
32 feet
Step-by-step explanation:
The perimeter is the total length of the sides of the figure. The length of one side is 10 feet, which means the opposite side is also 10 feet since it’s a rectangle. The width of one side is 6 feet, which means the opposite side is also 6 feet because it is a rectangle.
Add up the length of every side
10+10+6+6=32
the manager of a symphony computes that the symphony will earn -40p^2+1100p dollars per concert if they charge P dollars for tickets. what ticket price should the symphony charge in order to maximize its profits?
Answer:
$7,562.5
Step-by-step explanation:
Given the function of the profit earned expressed as;
f(p) =-40p^2+1100p
To maximize the profit, df(p)/dp must be sero
df(p)/dp = -80p + 1100 = 0
-80p + 1100 = 0
-80p = - 1100
p = 1100/80
p = 13.75
Substitute p = 13.75 into the function
f(13.75) =-40(13.75)^2+1100(13.75)
f(13.75) = -7,562.5+15,125
f(13.75) = 7,562.5
Hence the symphony should charge $7,562.5 to maximize the profit.
Write an equation of the line that is parallel to line y = – 5x + 3 and passes the point (5, – 2).
Answer:
y = -5x +23
Step-by-step explanation:
If the line is parallel it has the same slope, so we only have to solve for the y-intercept.
To get from (5,-2) the y increases by 25
So y = -5x +23