2.1. One popular definition of economics is
a). How firms maximize profits.
b). How consumers maximize utility.
c). The use of scarce
c). The use of scarce resources to satisfy our wants.
d). The use of fiscal and monetary policies to achieve economic outcomes.
Flag question: Question 2
Question 21 pts
2. In a capitalist economy
a). The government plays the dominant role.
b). Market forces coordinate most production activities.
c). The prices of most goods and services are set by the government.
d). All of the above are correct.
Flag question: Question 3
Question 31 pts
3. In a capitalist economy
a). Most producers are driven by the desire to make profit.
b). The government regulates most economic activities.
c). Foreigners play no role in the economy.
d). The output of most goods are planned.
Flag question: Question 4
Question 41 pts
4. In drawing the graph of two variables that are related
a). The Y variable goes on the horizontal axis.
b). The X variable goes on the vertical axis.
c). The independent variable goes on the vertical axis.
d). In most cases the dependent variable goes on the vertical axis.
3.In Andrew’s Furniture Shop, he assembles both bookcases and TV stands. Each type of furniture takes him about the same
s him about the same time to assemble. He figures he has time to make at most 18 pieces of furniture by this Saturday. The materials for each bookcase cost him $20.00 and the materials for each TV stand cost him $40.00. He has $600.00 to spend on materials. Andrew makes a profit of $60.00 on each bookcase and a profit of $100.00 for each TV stand. Find how many of each piece of furniture Andrew should make so that he maximizes his profit.
Using the information in the problem, write the constraints. Let x represent number of bookcases, and y represent number of TV stands.
5.3A(g) + X(g) → Z(g) ΔH° = -480 kJ/molrxn
The equation shown above represents an exothermic reaction between A(g)
reaction between A(g) and X(g). What is the amount of heat released when 10 mol of A(g) reacts with an excess X(g) ?
Using the heats of formation found in the table above, calculate ΔH for the reaction below.
6A(aq) + 7X(g) → 6Y(l)
Y + 2X → 4Z ΔH=-4
A + 3B → 2Z ΔH=-2
A → X +C ΔH=7
Using the thermodynamic data above, determine ΔH for the reaction below.
2C+ 6B → Y
When 0.3 moles of A(s) (4 grams) is dissolved in 12 grams of water at 23°C, the temperature of the water increases to 31°C. The specific heat of water is 4.18 J/g°C.
Calculate ΔH in kJ/mol. Report your answer to 1 decimal place.
7.I am trying to figure out the optimal radius that will give the lowest surface area of a cylinder. I
have done the calculus which reveals that the surface area is at a minimum when height is double the radius. I am now trying to find an equation for the relationship between the amount of wasted surface area as a percentage of the minimum surface area and the ratio between height and radius.
If I were to plot it on a graph, the y axis would be the percentage of excess materials needed as a percentage of the minimum possible surface area, and the x axis would be height divided by radius. Since the surface area is minimized when height=2(radius), I know that when x=2, y=0.
The website https://www.datagenetics.com/blog/august12014/index.html explains what I am trying to do quite well and shows the graph below. I am trying to find the equation for this graph, but am unsure how to go about it.
11.Hello guys, I confess that I absolutely suck at math. Unfortunately my boss handed me what is basically a math
lly a math problem I gotta solve, and I have no idea how to do it cause of lack of my math skills. I am hoping someone can help me with this or I'm screwed.
Co basically I've got this table in excel, where X (row) is a width and Y is a height (column) of a wooden sauna cabin, the X;Y is the price for a sauna with said dimensions. I need to find a relationship between the size of the sauna and the price And formulate ani equation. I can't seem to find it, the price seems to grow non linearly, I can't seem to find any coeficient. Again, I suck at math, maybe solution is simple, but I just don't see it. Can anyone help me please?
Table Is at this link https://ibb.co/fGrxSvf . Thanks for any help!
14.In a simple reaction A ↔ A*, a molecule is interconvertible between two forms that differ in standard free energy
ard free energy G° by 18 kJ/mole, with A* having the higher G°.
Use the table below to find how many more molecules will be in state A* compared with state A at equilibrium.
If an enzyme lowered the activation energy of the reaction by 11.7 kJ/mole, how would the ratio of A to A* change?
Table: RELATIONSHIP BETWEEN THE STANDARD FREE- ENERGY CHANGE, ∆G°, AND THE EQUILIBRIUM CONSTANT
Hint: ∆G° represents the free-energy difference under standard conditions (where all components are present at a concentration of 1 mole/litter). From this table, we see that if there is a favourable free-energy change of –17.8 kJ/mole for the transition Y→ X, there will be 1000 times more molecules of X than of Y at equilibrium (K = 1000).
24.Consider the following LP, where the value of has not yet been ascertained
maxz = c1x + y
s. t .
t . 2x + 2y ≤ 12
2x + 4y ≤ 10
x ≥ 0,y ≥ 0
(a) What value of will result in a unique optimal solution to this LP and what is the corresponding optimal solution? You need to give a comprehensive answer.
(b)What value of will result in infinitely many solutions to this LP? You need to give a comprehensive answer.
(c) What value will result in no optimal solution to this LP? You need to give a comprehensive answer.
26.So I am looking at polar and Cartesian and converting between the two. My question is, I have never seen
seen an equation of a circle this is moved in both the x and y direction be converted to a polar equation.
For example, I know that the equation of a circle x^(2)+(y-2)^(2)=4 is r=4sin(theta) when converted to polar. Same thing for a translation with the x variable. However, I have never seen, nor do I know how to do, a conversion of a circle with both translations. For example, converting this equation of a circle to a polar equation: (x+3)^(2)+(y-4)^(2)=4. I have no idea how to do such a thing and cannot find any examples of such.
Hope you can shed some light on this, Thanks.
30.hello can you please help to solve this system of equations k == (Sqrt[y^2 - 2 y^3 - y^4 +
+ Sqrt[2 - 2 y] -
k)/((y + 1) Sqrt[1 - y^2]),
Sqrt/2/m == k/(k - Sqrt[2 - 2 y]), n ==
Sqrt[2 - 2 Sqrt[1 - m^2]], z == Sqrt[2 - 2 y]/f ==
Sqrt[(zn)^2 - 2 + 2 y]/
Sqrt[n^2 - f^2], t == (Sqrt[g^2 - 2 g^3 - g^4 + 2 g + 1] +
Sqrt[2 - 2 g] - t)/((g + 1) Sqrt[1 - g^2]),
Sqrt/2/h == t/(t - Sqrt[2 - 2 g]), q ==
Sqrt[2 - 2 Sqrt[1 - h^2]], l == Sqrt[2 - 2 g]/p ==
Sqrt[(lq)^2 - 2 + 2 g]/
Sqrt[q^2 - p^2], (z + 1) x == (l + 1) 2 x == (y + 1) Sqrt[1 - y^2]/
Sqrt == Pi/4, q == m and determine true it or false thank you
38.Calculating the % an object(A square) is overlapping with another(the screen, a rectangle)
Making a tilebased game,
2D rectangle tiles with a
a tilebased game,
2D rectangle tiles with a size of 5000X5000 pixels per rectangle.
I make every rectangle know the 4 neighbouring rectangles in the map so starting from one you can generate an essentially infinite map.
I want to move this map around instead of moving the player around, the player stays centered on screen and since the map moves under him it looks like he's the one doing the moving.
So I know the following things:
Width and height of a single section:
the x and y location of the center section can be a value anywhere from -5000,-5000 to 5000,5000
The visible screen real estate is 1920 X 1080 pixels big
0X,0Y always stars top left, bottom right is 5000X5000
What I need to end up with:
A percentage value of howmuch this specific section is visible on screen, "inside the rectangle that is the scfeen)
39.I am having problem with an assignment using lubrication method.
4. To obtain an analytical model of the flow
el of the flow in the coating zone x ∈ [0; L], y ∈ [0; h(x)] a lubrication approximation will be developed. If λ >> 1, and if α is close to, but less than 1 the coating zone appears plane. Use the equation of continuity to show by an order of magnitude estimate that |vy| << |vx|. Then state assumptions on flow and pressure field that reduce the Navier- Stokes equation locally to a form, from which the following approximate expression for the x-velocity in the slot for x ∈ [0; L] can be derived:
Se the attached.
43.2. If the mean of the numbers 9, 10, 11, 12, and x is 12, what is the value
s of a sports drink contains 130 milligrams of sodium, what is the total number of milligrams of sodium in 20 ounces of the sports drink?
5. If (k, 3) is a point on the line whose equation is 4x + y = -9, what is the value of k?
9. A flagpole casts a shadow 200 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long. Find the number of feet in the height of the flagpole.
22. What is the greatest value of c for which the roots of the equation x^2 + 4x + c = 0 are real?
24. Find the two acute angles in the right triangle whose sides have the given lengths. Express your answers using degree measure rounded to two decimal places.
7, 24 and 25
A._________________ (smaller value)
B._________________ (larger value)
44. 1. What is the greatest value of c for which the roots of the equation x^2 + 4x +
2. Find the two acute angles in the right triangle whose sides have the given lengths. Express your answers using degree measure rounded to two decimal places.
A._______________________ (Smaller Value)
B. _______________________ (Larger Value)
3. A flagpole casts a shadow 200 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long. Find the number of feet in the height of the flagpole.
4. If (k, 3) is a point on the line whose equation is 4x + y = -9, what is the value of k?
5. If 8 ounces of a sports drink contains 130 milligrams of sodium, what is the total number of milligrams of sodium in 20 ounces of the sports drink?
6. If the mean of the numbers 9, 10, 11, 12, and x is 12, what is the value of x?
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a. (x - 2)2(x - 3)2
b. (x2+ 4)(x2+ 9)
c. (x - 2)(x +
2)(x - 3)(x + 3)
d. (x2 - 4)(x2+ 9)
The table below shows the cost of purchasing a standard stapler at five office supply stores, A through E. If the median cost of purchasing a standard stapler for these stores was $17.99, which of the following could NOT have been the cost of the stapler for Store A?
If equation image indicator then x =
A six−sided die, with sides numbered 1,2, 3,4,5, and 6, is tossed. What is the probability of tossing a number less than three?
If 6m + 4 = 8m, then 4m =
In the xy-plane, what is the y-intercept of the graph of the equation equation image indicator?
d. There is no y-intercept.
Which of the following equations has both 2 and −4 as solutions?
a. x2 + 6x + 8 = 0
b. x2 - 2x - 8 = 0
c. x2 + 2x - 8 = 0
d. x2 - 2x + 8 = 0
The perimeter of a square is 20 ft. If you increase the length of the square by 2 feet and decrease the width by 1 foot, what is the area, in square feet, of the new figure?
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
A softball is tossed into the air upward from a first floor balcony. The distance of the ball above the ground at any time is given by the function, distance function.png, where h(t) is the height of the softball above the ground (in feet) and t is the time (in seconds). What was the maximum height, in feet, of the softball above the ground after it was thrown?
A group of 100 people, some students and some faculty, attended a museum opening. Each student paid $10 per person for entrance to the museum and each of the faculty paid $25 per person for entrance. If the total paid, for all 100 people, was $1300, how many students attended the museum opening?
The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?
In the xy−coordinate plane shown below, point P has coordinates (8, −6). Which of the following is an equation of the line that contains points O and P?
O and P graph.jpg
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?
A farmer has 1235 trees to be planted on a rectangular parcel of land. If there are 24 trees planted in each row and each row must be complete before it is planted, how many trees will be left over after planting?
48.I have a function and I can't figure out how to increase the circumference
private List CreateCircle(float
r3> CreateCircle(float zValue, int points)
var vertices = new List();
float degrees = 0f;
float degreeChange = twoPi / points;
for (var i = 0; i < points; i++)
// Adding to degrees changes the rotation of the circles - adding nothing creates a straight tube
float x = (2f * Mathf.PI) * Mathf.Sin(degrees);
float y = (2f * Mathf.PI) * Mathf.Sin(degrees);
//Mathf.Sin(degrees + (GlobalVariables.tunnelDepth/2))
//Mathf.Cos(degrees + (GlobalVariables.tunnelDepth / 3))
vertices.Add(new Vector3(x, y, zValue));
degrees += degreeChange;