It can be deduced that the price-response function associated with the situation will be P = MWTP = -e⁻ λ.
What is a function?
A function, in mathematics, is a relationship that exists between one variable that is, the independent variable and the dependent variable.
When the willingness-to-pay distribution of a product is a negative exponential distribution with parameter λ, the price-response function associated with it will be:
dWTP/dλ = -e⁻ λ
P = MWTP = -e⁻ λ
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which is the greatest common factor for 15 and 18
Answer:
3 is the GCF for 15 and 18
Step-by-step explanation:
Q) GCF for 15 and 18?
Possible factors are,
→ 15 = 3 × 5
→ 18 = 2 × 3 × 3
Common factor is,
→ 3 (in 15 and 18)
Hence, 3 is the GCF for 15 and 18.
Which table shows a set of ordered pairs that satisfies the equation shown?
y=1/3x
Answer: B
Step-by-step explanation: I graphed all the points and all the points on graph b were correct and on the line. i don't know how to put a pic of the graph on here so just trust me or go to desmos and graph the points on there.
Kevin drank 3 1/4 of water and 1 3/4 pints of juice. How much more water than juice did Kevin drink
Factor the expression using the GCF.
42+24n
Answer:
6(7+4n)
Step-by-step explanation:
Please give brainliest
A rectangle is 12cm longer than its wide. It's perimeter is 68m, how do you find it's length and width?
HELP!!
Answer:
Width: 1694 cm or 16.94 m
Length: 1706 cm or 17.06 m
Step-by-step explanation:
1. Write out the known equations:
First, the equation for the perimeter of a rectangle:
[tex]Perimeter = 2(Width) + 2(Length)[/tex]
We also know that the rectangle is 12 cm longer than it is wide. This leads to the second equation:
[tex]Length=Width+12[/tex]
2. Solve the system of equations for width:
Since we know the length in terms of width, and we know the perimeter, we can plug these values into the equation for the perimeter. First, let's rearrange the equation for perimeter to solve for width:
[tex]Perimeter = 2(Width) + 2(Length)\\Perimeter-2(Length)=2(Width)\\2(Width)=Perimeter-2(Length)\\Width=\frac{Perimeter-2(Length)}{2}[/tex]
Now, plug in the known values (since there are 100 cm in one metre, I'm multiplying the perimeter of 68 m by 100 to convert to centimetres--the perimeter of 68 m is equal to 6800 cm):
[tex]Width=\frac{6800-2(Width+12)}{2}[/tex]
Now, solve the equation for width:
[tex]Width=\frac{6800-2(Width+12)}{2}\\2(Width)=6800-2(Width+12)\\2(Width)=6800-2(Width)-24\\2(Width)+2(Width)=6800-24\\4(Width)=6800-24\\4(Width)=6776\\Width=1694cm[/tex]
3. Solve for length using width:
Now that we know the width, we can easily solve for the length using our previously established equation for length, [tex]Length=Width+12[/tex], as shown:
[tex]Length=Width+12\\Length=1694+12\\Length=1706cm[/tex]
4. Convert to metres.
If you want to know the answer in metres, you can convert from centimetres by dividing by 100:
1694/100 = 16.94 m
1706/100 = 17.06 m
Which is a way to find 31+60
Answer:
C
Step-by-step explanation:
count on 6 10's from 31 because 6 x 10 is 60 and 31+60 is 91 which is your answer
pleaseee help me out !!!
Answer:
y = 16
Step-by-step explanation:
y = 11 - x
of x is -5, subtitute it into the equation
y = 11 - (-5)
y = 11 + 5
y = 16
Answer:
16
Step-by-step explanation:
y=11--5
y=11+5
y+16
Let R be the region in the first quadrant bounded by the
graph of y = x² and the line y = 4.
(a) Find the area of the region R.
(b) A solid S has base R. Each cross-section of this solid
perpendicular to the y-axis is a semicircle, with its
diameter in R. Find the volume of the solid S.
(c) Another solid is formed by revolving R about the line
y = 7. Find the volume of this new solid.
a) The area within the region is [tex]\frac{16}{3}[/tex].
b) The volume of the solid [tex]S[/tex] is [tex]\pi[/tex] cubic units.
c) The volume of the solid of revolution is [tex]\frac{164}{3}\pi[/tex] cubic units.
How to apply integral formulas to determine areas and volumesa) The region is bounded between [tex](0,0)[/tex] and [tex](2, 4)[/tex], the area of the region is defined by the following integral formula:
[tex]A = \int\limits^{b}_{a} {[g(x)-f(x)]} \, dx[/tex] (1)
Where:
[tex]f(x)[/tex] - Lower function[tex]g(x)[/tex] - Upper function[tex]a[/tex] - Initial value[tex]b[/tex] - Final valueIf we know that [tex]f(x) = x^{2}[/tex], [tex]g(x) = 4[/tex], [tex]a = 0[/tex] and [tex]b = 2[/tex], then the area within the region is:
[tex]A = \int\limits^{2}_{0} {4-x^{2}} \, dx[/tex]
[tex]A = \frac{16}{3}[/tex]
The area within the region is [tex]\frac{16}{3}[/tex]. [tex]\blacksquare[/tex]
b) The volume of the solid [tex]S[/tex] is determined by the following integral formula:
[tex]V = \frac{\pi}{8} \int\limits^2_0 {x^{2}} \, dy = \frac{\pi}{8} \int\limits^2_0 {x^{2}\cdot (2\cdot x)} \, dx = \frac{\pi}{4}\int\limits^2_0 {x^{3}} \, dx[/tex]
[tex]V = \pi[/tex]
The volume of the solid [tex]S[/tex] is [tex]\pi[/tex] cubic units. [tex]\blacksquare[/tex]
c) The solid of revolution around an axis parallel to the [tex]x[/tex]-axis is described by the following formula:
[tex]V = \pi \int\limits^b_a {[[f(x)-k]^{2}-[g(x)-k]^{2}]} \, dx[/tex] (2)
Where [tex]k[/tex] is the y-coordinate of the axis of revolution.
If we know that [tex]f(x) = x^{2}[/tex], [tex]g(x) = 4[/tex], [tex]k = 7[/tex], [tex]a = 0[/tex] and [tex]b = 2[/tex], then the volume of the solid of revolution is:
[tex]V = \pi\int\limits^2_0 {[(x^{2}-7)^{2}-(4-7)^{2}]} \, dx[/tex]
[tex]V = \frac{164}{3}\pi[/tex]
The volume of the solid of revolution is [tex]\frac{164}{3}\pi[/tex] cubic units. [tex]\blacksquare[/tex]
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7 14(-1/8) – 5] + 9
evaluate
Answer:
(-4/8) - (-9/7) = 11/
14
≅ 0.7857143
Spelled result in words is eleven fourteenths.
Step-by-step explanation:
Please tell me if correct
8. Jim's grocery store sells packs of 6 cookies. John's grocery store sells packs of 9 cookies. If they both sold the same amount of cookies yesterday, what is the least amount they could have sold?
x-9/2=-12 guys please help
Step-by-step explanation:
How to solve for x?
Eliminate -(9/2) to find out the value of x.
Add 9/2 to both sides of the equation:
[tex]x = - 7.5[/tex]
Answer
[tex]x=[/tex] [tex]-7.5[/tex]
Step-by-step explanation:
[tex]x -\frac{9}{2} = -12[/tex]
[tex]x -\frac{9}{2} + \frac{9}{2} = -12 + \frac{9}{2}[/tex] (add [tex]\frac{9}{2}[/tex] to both sides)
[tex]x = -\frac{15}{2}[/tex]
[tex]-\frac{15}{2} =[/tex] [tex]-7.5[/tex]
[tex]x=[/tex] [tex]-7.5[/tex]
PLS HELP ITS DUE IN 10 MIN DONT ANSWER FOR POINT THIS IS NOT AN ASSESMENT ITS HOMEWORK.
A girl runs ‘x’ metre in 10 minutes. How many metres does she run in 1 hour?
Step-by-step explanation:
10 minutes = x
60 minutes (1) hour = x/10 * 60
In 60 minute or 1 hour she runs 60x/10 = 6x metre
Find the area of the square
The radius is 10
Since half of the diagonal of the square is 10, that means the whole diagonal is 20.
Area of the square = [tex]\frac{1}{2} *(20)^{2} =200[/tex]
Thus the area is 200. Hope that helps!
Solution:
Given:
Half of diagonal: 10 unitsTo find the diagonal, multiply half the diagonal by 2.
=> Diagonal = 2(Half of diagonal)=> Diagonal = 2(10) = 20 unitsWe also know that the sides of the square are equal. Let's use Pythagoras theorem to solve for the side length (c).
=> 20² = c² + c²=> 400 = 2c²=> 200 = c²=> c = √200 = 10√2Square the side length to obtain the area of the square.
=> (10√2)² = Area of square=> (10√2) x (10√2) = Area of square=> 100 x 2 = Area of square=> 200 units² = Area of squareThe area of the square is 200 units²
Jade has $451. 89 in her checking account. After 3 checks, each for the same amount, are deducted from her account, she has $358. 92 left in her account. Assume she makes no other withdrawals or deposits. Which equations represent c, the amount of one check, in dollars? Select three options. 451. 89 minus c = 358. 92 451. 89 minus 3 c = 358. 92 358. 92 3 c = 451. 89 358. 92 c c c = 451. 89 c = 3 (451. 89 minus 358. 92).
The equation from the given equations, representing c, the amount of one check(for the given condition), in dollars is given by: Option C: [tex]358.92 + 3c = 451.89[/tex]
How to interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.
Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, [tex]a \div b[/tex] = a divided in b equal parts.
Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]
(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex])
For the given case, the amount those 3 checks together have is the difference in Jade's account's initial and final balance.
Amount deducted by 3 checks = $451.89 - $358.92
Amount of all 3 checks is $c
Thus, total of their amount = $(c + c + c) = 3c
Thus, we get:
[tex]3c = 451.89 - 358.92\\\\\text{Dividing both the sides by 3}\\\\c = \dfrac{451.89 - 358.92}{3} \text{\: (in dollars)}\\or\\\\358.92 + 3c = 451.89[/tex]
Thus, the equation from the given equations, representing c, the amount of one check(for the given condition), in dollars is given by: Option C: [tex]358.92 + 3c = 451.89[/tex]
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1/4 to 1/2 fine the percent of change
what is the volume of the prism?
enter your answer in the box as a mixed number in simplest form.
Answer:
67 1/2 cm
Step-by-step explanation:
v=lxwxh
v=4 1/2x 6x 2 1/2
v=67 1/2 cm^3
Volume of rectangular prism is given by:
ㅤㅤㅤ➙ V = l × b × h
Here, we have :
length = 6 cmBreadth =[tex] \sf{2\dfrac{1}{2}}[/tex]cm.height =[tex]\sf{4\dfrac{1}{2}} [/tex]cmTherefore, volume:
[tex] \implies\quad \tt {V =l\times b\times h }[/tex]
[tex] \implies\quad \tt { V =6\times 2\dfrac{1}{2}\times 4\dfrac{1}{2}}[/tex]
[tex] \implies\quad \small{\tt { V = 6\times \dfrac{(2\times 2)+1}{2}\times \dfrac{(4\times 2)+1}{2}}}[/tex]
[tex] \implies\quad \tt {V = 6\times \dfrac{4+1}{2}\times \dfrac{8+1}{2} }[/tex]
[tex] \implies\quad \tt {V =6\times \dfrac{5}{2}\times\dfrac{9}{2} }[/tex]
[tex] \implies\quad \tt {V =\dfrac{6\times 5\times 9}{2\times 2} }[/tex]
[tex] \implies\quad \tt { V =\cancel{\dfrac{270}{4}}}[/tex]
[tex] \implies\quad \tt { V = \dfrac{135}{2}}[/tex]
[tex] \implies\quad \underline{\underline{\pmb{\tt { V = 67\dfrac{1}{2}\:cm^2}}}}[/tex]
Bailey buys a car for $18,000 and it has a depreciation value of 16% per year after 3
years how much will her car be worth?
Answer:
$10668.67
Step-by-step explanation:
If the car value goes down 16% each year, after the first year, it will be worth 1520.
The next year, it will be worth $12700.80
After the third year, the car will be worth $10,668.67
PLEASE HELP ME I will give brainliest! The angles of 8x + 4 degrees and 6x + 64 degrees are supplementary. Solve for X and Y.
Step-by-step explanation:
supplementary angles means sum of them is 180°
8x+4+6x+64 = 180
14x+68 = 180
x = 8
angles are 68 and 112
Help me quick please
Answer:
y ≤ 1/2x + 5
Step-by-step explanation:
-3x + 6y ≤ 30
add 3x on both sides:
6y ≤ 3x + 30
divide 6 on both sides:
y ≤ 3/6x + 30/6
This is simplified to:
y ≤ 1/2x + 5
(help) what is 10 1/2 ÷ 9 2/6 = ?
Answer:
1 1/8
Step-by-step explanation:
10 1/2 ÷ 9 2/6 =
= 10 1/2 ÷ 9 1/3
= 21/2 ÷ 28/3
= 21/2 × 3/28
= 3/2 × 21/28
= 3/2 × 3/4
= 9/8
= 1 1/8
Answer: 1.125 or [tex]1\frac{1}{8}[/tex]
Step-by-step explanation:
Turn the mixed fraction into a regular fraction. Multiply the whole number by the denominator, then add that total to the number in the numerator. (For example: [tex]9\frac{2}{6}[/tex] = 9 ×6=54 +2=[tex]\frac{56}{6}[/tex])Once both mixed fractions are turned into regular fractions, flip one of them so they are written as their reciprocal (example: [tex]\frac{56}{6}[/tex]= [tex]\frac{6}{56}[/tex]) ONLY DO THIS TO ONE OF THE FRACTIONS, this will allow you to seamlessly cross multiply)After this, change the division sign to a multiplication sign and multiply the numerators by each other and the denominators by each other. You should be left with [tex]\frac{126}{112}[/tex]Simplify!The picture attached shows these steps in detail!
Fifty Points and Brainliest!
Select all that have a proportional relationship:
Answer:
B and D both have a proportional relationship
Step-by-step explanation:
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Your Welcome :)
A motorboat travels 35 km in 2 hours with the current of the river. The same motorboat travels 39 km in 3 hours in a lake. Find the speed of the current.
Answer:
0.5km/h
Step-by-step explanation:
Assume lake has no current.
.
V=distance / time
V=39km / 3h
V=13km/h
In water Assume boat used same power travelling
V=35km / 2h
V= 12.5km/h
Current is the difference 0.5km/h
Jenna's rectangular garden borders a wall. She buys 80 ft of fencing. What are the dimensions of the garden that will maximize its area?
A.) 5’ x 70’
B.) 3’ x 74’
C.) 15’ x 50’
D.) 20’ x 40’
Answer:
D. 20' x 40'
Step-by-step explanation:
What is the solution set for the inequality 4−5g > 39 Question 3 options: g < −7 g>7 g<7 g > −7.
Answer:
g < -7
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Step-by-step explanation:
*Note:
When dividing or multiplying both sides of the inequality by a negative, flip the inequality sign.
Step 1: Define
Identify.
4 - 5g > 39
Step 2: Solve for g
[Subtraction Property of Equality] Subtract 4 on both sides: -5g > 35[Division Property of Equality] Divide -5 on both sides: g < -7∴ any number g less than -7 would work as a solution to the inequality.
---
Topic: Algebra I
Unit: Inequalities
Find the surface area of this cube. Be sure to include the correct unit in your answer.
Answer:
729 cm
Step-by-step explanation:
9 x 9 x 9 = 729 cm
Have a great day!
PLEASE MARK BRAINLIEST!
Answer:
486cm^2
Step-by-step explanation:
A is equal to the edge of the cube.
A=6a^2
=6·9^2
= 486
Because we are finding the surface area it would be the unit squared, because surface area is 2 dimensional. If we were finding the volume it would be cubed.
so the answer is 486 cm^2
Use special angle relationship to find the missing sides and heights. Then find the area and perimeter of each figure in simplified radical form. Then find answer to the nearest whole number. (Step by step)
Answer:
I don't know how sorry ....
If the area of the vegetable garden is 170 square feet, which equation could be use to find the length of
the tomato patch?
The equation that could be used to find the length of the tomato patch is 0 = 3x² + 17x -160 option (A) is correct.
What is rectangle?It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
From the question:
The area of the vegetable garden = 170 square feet
The quadratic equation:
0 = 3x² + 17x -160
D = 2209
D > 0
The positive root of the quadratic equation is:
x = 5 ft (length of the tomato patch)
Thus, the equation that could be used to find the length of the tomato patch is 0 = 3x² + 17x -160 option (A) is correct.
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I need help with this
Answer:
She would get $80 dollars in 10 weeks
Step-by-step explanation:
[tex]already \: has \: 20 \\ saving \: 6 \: per \: week \\ in \: 10 \: week \\ = 6 \times 10 + 20 \\ = 60 + 20 \\ = 80[/tex]
Answer:
6 dollars a week for every week she saved.
She already has 20 dollars so 10 weeks would be
20 + 10*6 = 10 weeks of saving
20+60=80
$80 would be saved up after 10 weeks.
Expression, 6 dollars a week which would be if weeks was represented by “w”. Since she already has 20 dollars, thats a base.
20 + 6w
can anyone help with A ? it’s the pythagorean theorem
Answer:
The sides are not a right triangle
Step-by-step explanation:
The Pythagorean theorem states that a² + b² = c²
-> a and b are the legs
-> c is the hypotenuse
We can plug the values that we have in, and see if it will solve correctly.
a² + b² = c²
11² + 5² = 13²
121 + 25 = 169
146 ≠ 169
The total of a number and -15 is at most -10?
Answer:
This sounds like you're trying to find the average of a group of numbers. For instance, suppose you want to find the average age of a group of people whose ages are 16, 18, 23, and 28. First, you sum the numbers: 16 + 18 + 23 + 28. You get 85. Then you divide 85 (the sum) by how many numbers you added together (4). So you divide 85 by 4, which gives you 21.25. Hope this helps!