Solve this problem. The demand function for a certain book is given by the function x=D(p)=70e^−0.005p. Find the marginal demand.
Answers
Therefore, the marginal demand is given by the function\(dD(p)/dp = -0.35e^-0.005p.\)
Marginal demand refers to the change in the demand for a commodity resulting from a unit change in price, holding all other factors constant.
In this question, we have a demand function that gives us the number of copies of a certain book that would be sold at a certain price.
In other words, it refers to the derivative of the demand function with respect to price.
Marginal demand can be obtained by computing the derivative of the given demand function. Therefore, the marginal demand can be computed using the formula dD(p)/dp, where
\(D(p) = 70e^-0.005p.\)
Differentiating D(p) with respect to p gives:
dD(p)/dp = -0.005*70e^-0.005p
{Using chain rule,\(d/dp(e^u) = e^u * du/dx\), where u = -0.005p}
Thus, marginal demand is:
\(dD(p)/dp = -0.35e^-0.005p\)
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Related Questions
A pitcher can hold 5.2 liters of water. How many 0.4 liter glasses of water can be poured from the pitcher?
10
11
13
5
Answers
Answer is 13
find the value of x..
Answers
\(x + 85 + x + 64 + 45 = 180°\)
\((x + x) + (85 + 64 + 45)= 180\)
\(2x + 194= 180\)
\(2x = 180 - 194\)
\(2x = - 14\)
\(x = \frac{ - 14}{ \: \: \: \: 2} \)
\(x = - 7\)
\(∴ \: the \: value \: of \: x \: = - 7\)
Relate a vertical line test to understanding functions.
a.
Each horizontal line drawn through the graph will intersect a function in only one location
c.
Each vertical line drawn through the graph will intersect a relation in only one location
b.
Each vertical line drawn through the graph will intersect a function in many locations
d.
Each vertical line drawn through the graph will intersect a function in only one location
I'm having a hard time understanding this.
Answers
Answer:
Hello,
I am not sure if you are still having an issue with this problem but for future reference for you or anyone else the answer is
d. Each vertical line drawn through the graph will intersect a function in only one location.
I thought of it this way:
"Each vertical line" which tells me only one line per "one location" now I could be completely off but this was just my logic and it helped me personally.
Answer:
D
Step-by-step explanation:
just took the test
For any 45-45-90 triangle, the length of the hypotenuse is _____ times as long as
either leg.
A. √3
B. √2/2
C. √2
D. √3/2
Answers
Hi! the answer to this question is C.
It will always be something in front of the square root as well. Since 45-45-90 has two congruent sides, the other legs will be equivalent to each other, except for the hypotnuse.
An example of what I mean below :). Hope this helps!
in an octagon, the interior angles are in the ratio 1:2:3:4:5:6:7:8. what is the measure of the smallest angle?
Answers
The measure of the smallest angle is 30° in an octagon when the interior angles are in the ratio 1:2:3:4:5:6:7:8.
The sum of the interior angles of an octagon is (8 - 2) x 180° = 1080°.
Let x be the minimum angle measure and write down the other angle equations concerning x using the ratios given.
2x, 3x, 4x, 5x, 6x, 7x, 8x.
by adding all the angles we get,
x + 2x + 3x + 4x + 5x + 6x + 7x + 8x = 36x.
Since the sum of the interior angles of an octagon is 1080°,
Simplifying the equation:
36x = 1080
x = 30
The minimum angular dimension is x = 30°.
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what does the n represent in the formula for calculating degrees of freedom for a correlation coefficient?
a. sample size
b. number of groups
c. number of pairs
d. population
Answers
The "n" in the formula for calculating degrees of freedom for a correlation coefficient represents the sample size. The correct option is a.
Explanation: In statistics, the correlation coefficient measures the strength and direction of the linear relationship between two variables. When calculating the degrees of freedom for a correlation coefficient, the "n" represents the sample size. Degrees of freedom (df) refers to the number of independent observations in a statistical analysis. It represents the number of values that are free to vary after certain restrictions or conditions have been imposed.
In the context of correlation, the formula for degrees of freedom is given by (n - 2), where "n" is the sample size. The subtraction of 2 is because the calculation of the correlation coefficient involves estimating the parameters of the line that best fits the data, which requires two degrees of freedom. Subtracting 2 ensures that the degrees of freedom accurately reflect the number of independent observations available for analysis.
Therefore, the correct answer is (a) sample size. The larger the sample size, the greater the degrees of freedom, which generally improves the reliability and precision of the correlation coefficient estimate.
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In the data set #2 {75,80,85,75,85}, what is the range?
Answers
Highest = 85
Lowest = 75
85 - 75 = 10
The range is 10
A linear function,f, has a slope of -2. F(1) =2 and f(2)=t. Find t
Answers
Answer:
t = 0
Step-by-step explanation:
\(slope = \frac{f(2) - f(1)}{2 - 1}\)
\(-2 = \frac{t - 2}{1}\\\\-2 = t - 2\\\\t = 0\)
I need help solving the missing part of the problem
Answers
The given functions are:
\(\begin{gathered} f(x)=5x-3 \\ g(x)=3x^2+6x+4 \end{gathered}\)To solve for f(g(6)), first we need to find g(6):
\(\begin{gathered} g(6)=3\cdot(6)^2+6(6)+4 \\ g(6)=3\cdot36+36+4 \\ g(6)=108+36+4 \\ g(6)=148 \end{gathered}\)So, f(g(6))=f(148), now find f(148):
\(\begin{gathered} f(148)=5\cdot148-3 \\ f(148)=740-3 \\ f(148)=737 \end{gathered}\)The answer is f(g(6))=737
b. Find f(f(2)).
Start finding f(2):
\(\begin{gathered} f(2)=5\cdot2-3 \\ f(2)=10-3 \\ f(2)=7 \end{gathered}\)Now, f(f(2))=f(7), solve for f(7):
\(\begin{gathered} f(7)=5\cdot7-3 \\ f(7)=35-3 \\ f(7)=32 \end{gathered}\)The answer is f(f(2))=32
Which of the following search algorithms should be used on large arrays if speed if important?
BinaryascendingBubble sortAll of the above
Answers
If speed is important and the array is large, the a. Binary search algorithm should be used. This algorithm is designed to efficiently search through sorted arrays by repeatedly dividing the search interval in half.
It has a time complexity of O(log n), which means that as the size of the array increases, the time it takes to search for an item will not increase at the same rate.
On the other hand, ascending bubble sort and other sorting algorithms such as selection sort and insertion sort have a time complexity of O(n^2), which means that as the size of the array increases, the time it takes to sort the array will increase exponentially. Therefore, these algorithms are not efficient for large arrays and should not be used if speed is important.
In summary, when dealing with large arrays and speed is important, binary search is the best algorithm to use for searching, while ascending bubble sort and other sorting algorithms with a time complexity of O(n^2) should be avoided.
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сm
What is the area of
circle
with circumference of 10cm ? 3
Answers
It is 10
I REALLY HOPE THIS HELPS :D
Answer:
7.96 centimeters squared
Step-by-step explanation:
In the photo.
20. Higher Order Thinking Twice a day Cameron's cat eats 4 ounces of dry cat food and 2 ounces of wet cat food Dry food comes in 5-pound bags. Wet foo? comes in 6-ounce cans
Answers
The dry food will last for 10 days, while the wet food will last for 1.5 days.
We have,
To determine how long the cat's food supply will last, we need to calculate the total amount of food consumed per day and then divide it by the respective quantities of dry and wet food.
Cameron's cat eats 4 ounces of dry cat food and 2 ounces of wet cat food twice a day.
Therefore, the cat consumes:
Dry food: 4 ounces x 2 = 8 ounces per day
Wet food: 2 ounces x 2 = 4 ounces per day
Dry food comes in 5-pound bags, which is equivalent to 80 ounces (16 ounces in a pound x 5 pounds).
To find out how long the dry food will last, we divide the total amount of dry food by the daily consumption:
80 ounces / 8 ounces per day = 10 days
Wet food comes in 6-ounce cans.
To find out how long the wet food will last, we divide the total amount of wet food by the daily consumption:
6 ounces / 4 ounces per day = 1.5 days
Therefore,
The dry food will last for 10 days, while the wet food will last for 1.5 days.
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Express using Algebra 15% of A
Answers
Answer:
0.15 x A
Step-by-step explanation:
15% is equal to 0.15
of means multiplication
0.15 x A
Inductive reasoning is based on
definitions.
facts.
patterns.
rules.
Answers
Answer:
patterns
Step-by-step explanation:
inductive reasoning is using past experiences to deduce future outcomes
the conditions that the sum of forces and the sum of the torques both vanish:
Answers
Answer and Explanation: The conditions when the net force and the net torque are zero are called static equilibrium.
does this graph have a maximum? so what is it?
Answers
No, actually that graph has a global minimun at x = 0
Find the areas bounded by the curve y= 8-x^3 and the axis
Answers
The area bounded by the curve y = 8 − x³ and the x-axis is 15.5 square units.
The area bounded by the curve y = 8 − x³ and the x-axis is illustrated below. We need to determine the region's bounds and the integral to solve for the area.We need to determine the x-intercepts of the curve y = 8 − x³. Because the curve passes through the origin, it must have at least one x-intercept.
To find x, we set y = 0, 0 = 8 − x³, x³ = 8, x = 2.
The region is bounded by the curve y = 8 − x³, the x-axis, and the lines x = 0 and x = 2.
We have:∫₀² (8 - x³) dx
The area is calculated as follows:∫₀² (8 - x³) dx= [8x - (1/4) x⁴]₀²= (8(2) - (1/4)(2⁴)) - (8(0) - (1/4)(0⁴))= 15.5 square units
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An experiment can result in one of five equally likely simple events, E1, E2, , E5. Events A, B, and C are defined as follows.
A: E3, E4 P(A) = 0.4
B: E1, E2, E3, E5 P(B) = 0.8
C: E2, E4 P(C) = 0.4
Refer to the following probabilities.
P(A ∩ B) = 0.2
P(A|B) = 0.25
P(B|A) = 0.5
P(B ∪ C) = 1
P(B|C) = 0.5
P(C|B) = 0.25
Use the Addition and Multiplication Rules to find the following probabilities.
(a) P(A ∪ B)
P(A ∪ B) =_________ +_________ − __________= ___________ (enter exact number)
P(A ∩ B) P(B|A) P(A ∩ B)
P(A) P(B ∩ A) P(A)
P(A|B) P(B) P(B)
P(B|A)
P(A|B)
(b) P(A ∩ B)
P(A ∩ B) =_________· P(B) = ___________
P(A)
P(A|B)
P(B|A)
P(A ∪ B)
(c) P(B ∩ C)
P(B ∩ C) = __________· P(C) = ___________
P(B|C)
P(C|B)
P(B)
P(B ∪ C)
Do the results agree with those obtained by listing the simple events in each?
P(A ∪ B) = P({E1, E2, E3, E4, E5}) = 1
P(A ∩ B) = P({E3}) = 0.2
P(B ∩ C) = P({E2}) = 0.2
Yes or No
Answers
Using the Addition and Multiplication Rules we obtain the probabilities as:
(a) P(A ∪ B) = 1
(b) P(A ∩ B) = 0.2
(c) P(B ∩ C) = 0.2
These calculated probabilities agree with those obtained by listing the simple events.
Let's calculate the probabilities using the provided information:
(a) P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
P(A ∪ B) = 0.4 + 0.8 - 0.2 = 1
(b) P(A ∩ B) = P(A | B) · P(B) = 0.25 · 0.8 = 0.2
(c) P(B ∩ C) = P(B | C) · P(C) = 0.5 · 0.4 = 0.2
Comparing the results with the probabilities obtained by listing the simple events:
P(A ∪ B) = 1
P(A ∩ B) = 0.2
P(B ∩ C) = 0.2
Yes, the results agree with those obtained by listing the simple events.
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HELP ASAP PLS
Without using a calculator order the following numbers from least to greatest
8 √58 7
Answers
Answer:
7, √58, 8
Step-by-step explanation:
7 x 7 = 49
8 X 8 = 64
49, 58, 64
\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the Concept of the Mathematics.
Applying the simple squares of 7 and 8.
7*7= 49 and 8*8=64
hence square root 58 is more than 7 but less than 8
hence we get as,
\(7 < \sqrt{58 } < 8\)
william was an early-maturing boy in the 1930s. william would have been predicated to _____.
Answers
Answer:
be a school leader as an adolescent
Step-by-step explanation:
A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true proportion is 0.07. If 289 are sampled, what is the probability that the sample proportion will differ from the population proportion by more than 0.03
Answers
The probability that the sample proportion will differ from the population proportion by more than 0.03 is 0.99968.
Given the true proportion is 0.07, sample size 289.
We have to calculate the probability that the sample proportion will differ from the population proportion by more than 0.03.
Probability is the likeliness or chance of happening an event among all the events possible. The probability lies between 0 and 1.
Probability=number of items/ total items.
True proportion=0.07
n=289
sample population mean=0.07
Sample proportion standard error=\(\sqrt{pq/n}\)
=\(\sqrt{0.07*0.93)/289}\)
=\(\sqrt{0.0651/289}\)
=\(\sqrt{0.00022}\)
=0.015
Probability that the sample proportion will differ from the population proportion by more than 0.03=P(I P-p I>0.03)
=P( I Z I>0.03*0.015)
=P ( I z I >0.0045)
=0.99968.
Hence the probability that the sample proportion will differ from the population proportion by more than 0.03 is 0.99968.
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A group of preschoolers has 8 boys and 24 girls. What is the ratio of girls to all children?
Answers
Just add and that help!
Answer: 45
Step-by-step explanation: To solve this question, you must first add together the two halves of the ratio so 8+4=12
1200/12 x 100= 45
A scatter plot is made to model the number of grams of fat in different portions of fried shrimp. The data used for the scatter plot are shown in the table below:
Number of portions
5
3
8
6
1
4
Number of grams of fat
45
27
72
54
9
36
What does the slope of the model represent? (5 points)
Group of answer choices
The number of fried shrimp having one gram of fat
The number of grams of fat in each portion of fried shrimp
The original number of portions of fried shrimp
The price of each portion of fried shrimp
Answers
Answer:
The number of grams of fat in each portion of fried shrimp
Step-by-step explanation:
See attached image.
Answer: The number of grams of fat in each portion of fried shrimp
Step-by-step explanation:
Literal equations solve for y. 3x+4y=-4
Answers
Answer:
y = - 1 - 3/4x
Step-by-step explanation:
Step 1:
3x + 4y = - 4 Equation
Step 2:
4y = - 4 - 3x Subtract 3x on both sides
Step 3:
y = - 4 ÷ 4 - 3x ÷ 4 Divide by 4 on both sides
Answer:
y = - 1 - 3/4x
Hope This Helps :)
Answer:
y=-1
Step-by-step explanation: 3x+4y=-4 so in this you have to isolate the y so you move 3x to the right by subtracting 3x from both sides. Your equation will then turn into 4y=-4-3x. Then you divide both sides by 4. y=-1 ,-3/4x
Find the surface area of the solid given the net
Answers
h^2 = 19^2 - 17^2/4
=> h = sqrt(4*19^2 - 17^2)/2 = sqrt(1155)/2
Surface area = 4(1/2*h*17) + 17*19 = 17(sqrt(1155) + 19)
Given the formula D=qh, solve for q.
Answers
Answer:
D/ h =q
Step-by-step explanation:
D = qh
Divide each side by h to isolate q
D/ h = dh/h
D/ h =q
Step-by-step explanation: To solve for q in the equation d = qh, all we have to do is get q by itself on the right side of the equation.
Since q is being multiplied by h, to get q by itself,
we simply divide both sides of the equation by h.
On the right, the h's cancel and we are re left with q.
On the left we have \(\frac{d}{h}\).
So our answer is \(\frac{d}{h} = q\).
A hotel has 320 rooms. Some are singles, and some are doubles. The single room cost 40$ and the double rooms cost 65$. Because of and event in town all of the hotel rooms are occupied. The sales tonight are 15,600$. How many of each type of room does the hotel have?
Answers
As a result, the hotel has 208 single rooms and 112 double rooms. We can now use these two equations to find the values of x and y.
what is equation ?An equation in mathematics is a claim that two mathematical expressions are equivalent. In an equation, the two expressions on either side are separated by the equals sign (=). As in the following equation: 3x + 2 = 11 declares that the formula 11 is identical to the formula 3x + 2. Finding the value of x that causes the equation to be true is the first step towards solving this equation. By first removing 2 from both sides of the equation and then dividing by 3, we may find x in this situation: 3x + 2 - 2 = 11 - 2 (subtracting 2 from both sides) (subtracting 2 from both sides) .3x = 9 (simplifying the right side) (simplifying the right side) .
given
Assume that there are x single rooms and y double rooms at the hotel.
We may create an equation since we are aware that there are 320 rooms in the hotel overall:
x + y = 320 (Equation 1) (Equation 1)
We can create another equation based on sales since we also know the prices for each type of accommodation and the overall sales:
40x + 65y = 15,600 (Equation 2) (Equation 2)
We can now solve for x and y using these two equations. To accomplish this, one method is to solve for x in Equation 1 and replace it in Equation 2:
x + y = 320
x = 320 - y
Equation 2 using x = 320 - y as a replacement:
12,800 - 40y + 65y = 15,600
25y = 2,800 y = 112
40x + 65y = 15,600
40(320 - y) + 65y
= 15,600
There are 112 double rooms in the hotel. In order to determine the number of single rooms, we can reenter this value into Equation 1 as follows:
x + y = 320
x + 112 = 320
x = 208
As a result, the hotel has 208 single rooms and 112 double rooms. We can now use these two equations to find the values of x and y.
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What two numbers add up to 9 and multiply to 20
Answers
Answer:
5,4
Step-by-step explanation:
Answer: 5 and 4
Step-by-step explanation:
So, 5 + 4 = 9
and 5 x 4 = 20
Im glad I helped =)
The function h(t) = 4.9t? + 8t +5 represents Jennifer's height (h) in meters above the water t seconds after she leaves the diving board. What is the value of h(2) and what does it mean in the situation? A. 1.4 meters; 2 seconds after she leaves the diving board, she is 1.4 meters above the water. B. 1.4 seconds; When she is 2 meters above the water, she has been in the air 1.4 seconds. C. 1.95 meters; 2 seconds after she leaves the diving board, she is 1.95 meters above the water D. 1.95 seconds; When she is 2 meters above the water, she has been in the air 1.95 seconds.
Answers
so after 2 seconds we get
\(h(2)=-4.9\cdot4+8\cdot2+5=1.4\)so the answer is A
PLEASE ANSWER ASAP I WILL GIVE 15 POINTS TO FIRST ANDWER
Answers
Answer:400
Step-by-step explanation: