If y is the midpoint of xz y is located at and z is located at

te of M is 16. I can not figure out, if a is 1 or unknown.

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.

and y = 2, then z = 56.

rential equation: dy / dt = py (100000 - y) Where: y is the number of infected people at time t (measured in weeks) and p = 0.00001. If 10 people were ill, determine y as a function of t. How long will it take before half the population is infected?

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).

If a line segment is drawn from point L to point L' and from point O to point O', which statement would best describe the relationship between segment L L prime and segment O O prime? They share the same midpoints. They are diameters of concentric circles. They are perpendicular to each other. They are parallel and congruent.

ance is negligible, what is the ball’s speed at the instant it reaches its maximum height from the ground? A. - 20 m/s B. 0 m/s C. + 17.3 m/s D. + 10 m/s E. + 20 m/s 2. A rhino charges full speed at a car with an initial velocity of 15 m/s. When the rhino collides with the car, it crumples in by 1 m before the rhino comes to a complete stop. What acceleration did the rhino feel as it came to a stop? A. - 112.5 m/s^2 B. - 7.5 m/s^2 C. - 30 m/s^2 D. + 112.5 m/s^2 E. + 30 m/s^2 F. + 7.5 m/s^2 3. Two students want to determine the speed at which a ball is released when thrown vertically upward into the air. One student throws the ball into the air while the other student measures the total time that the ball is in the air. The students use a meterstick to measure the release height of the ball. Which of the following equations should the students use to determine the speed at which the ball was released? * A. Use y final = y initial+ v initial *t + (1/2)*a*t^2 from the moment in time in which the ball was released to the moment in time in which the ball reaches its highest point. B. v final^2 = v initial ^2 + 2a(????y) from the moment in time in which the ball was released to the moment in time in which the ball hits the ground. C. Use y final = y initial+ v initial *t + (1/2)*a*t^2 from the moment in time in which the ball was released to the moment in time in which the ball hits the ground. D. v final^2 = v initial ^2 + 2a(????y) from the moment in time in which the ball was released to the moment in time in which the ball reaches its highest point.

ticket sells for $7 and each adult ticket sells for $10.50. The auditorium can hold no more than 110 people. The drama club must make no less than $840 from ticket sales to cover the show's costs. If x represents the number of student tickets sold and y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.

t the y would be if f(x) is f(1).

80 seconds to completely travel a distance of 1440 meters while Engine 2 took 100 seconds to completely travel a distance of 1700 meters. If Engine 1 is X meters long and Engine 2’s speed is Y meters per second, what is X + Y?

80 seconds to completely travel a distance of 1440 meters while Engine 2 took 100 seconds to completely travel a distance of 1700 meters. If Engine 1 is X meters long and Engine 2’s speed is Y meters per second, what is X + Y?

is the middle of the DrawingPanel. Ask the user to enter an x and a y coordinate for a DrawingPanel. Your program will draw a line from the last coordinates to the current coordinates the user enters. If the user enters an x value or y value out of bounds of the DrawingPanel, then end the program.

achine B. The nature of the machines makes their cost functions differ. Total cost is given by ​C(x,y)equalsUpper C left parenthesis x right parenthesisplusUpper C left parenthesis y right parenthesis. How many units should be made on each machine in order to minimize total costs if xplusyequals19 comma 740 units are​ required? The minimum total cost is achieved when ___ units are produced on machine A and ___ units are produced on machine B

-5), find the coordiantes of X. I'm a little confused on how to go about this problem since we learned it a while back

catter Plot, simple regression line re: the amount of tar having an effect on the amount of nicotine in cigarettes. Mainly.... the data set shows tar levels ranging from 1mg - 17mg, with an additional data point of 29..8mg - it remains on the regression line. My questions come from the 'appropriateness' questions.. My thoughts: x=0, y intercept is 0.131mg - 0 mg is below the data set so inappropriate? OR Appropriate because still plausible that a cigarette with NO tar could still have 0.131 mg of nicotine. Then...for the appropriateness of 25mg... if using the top level of the data set of 29.8mg then yes, it is appropriate as still within the parameters of the data set OR no, because 29.8mg is considered an outlier? .... I have read the book, read our notes, etc (online class) and watched videos but nothing REALLY explains what is 'appropriate or not' and the example homework from our online book, they answers were always it wasn't appropriate.

oups were used (lawyer, physical therapist, cabinetmakers, and system analysts). The results obtained for a sample of 5 individuals from each groups. Using the "ANOVA Output" below, please answer the following questions ( Use the significance level 5%). Q1. The value of the test statistic is ____________ QUESTION 2 Q2. The p- value of the test is _________________ QUESTION 3 Q3. At the 5% significance level, the null hypothesis is rejected if the value of the F statistics is >= _________________ QUESTION 4 Q4. Interpret the ANOVA result at the 5% significance level. Is there any difference in the job satisfaction among the four occupational groups? Answer either yes or no. Explain the reason of your answer statistically. QUESTION 5 Data from a Trucking Company is Southern California were utilized to examine the relationship among total daily travel time (y), miles to traveled (X1), and the number of deliveries (x2). Based on the "Regression Output" below, please answer the following questions. Q5. The number of sample used in this regression analysis is______________ QUESTION 6 Q6. What is the value of the coefficient of determination? QUESTION 7 Q7. What is the F test statistic value for the regression model significane test? QUESTION 8 Q8. What is the predicted travel time for X1 =95, and X2= 6? QUESTION 9 Q9. Is X2 (number of deliveries) related to Y (travel time)? Answer either yes or no. Explain the reason of your answer statistically. ATTACHED ARE GRAPHS

me he goes around the circle X m/s 2. the second time he goes around the circle Y m/s 3. His average velocity is Z m/s 4. What is the velocity the third time.

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.

et loans (he doesn't "earn" income). With the loans (L) he needs to decide between first period consumption (C1) and investment (I). The amount invested will allow him to get a second period income Y with probability P which is increasing in I (therefore, P(I)), In case of success and the person obtain Y, the individual should use Y to repay the loan (L) that he requested in the first period and consume in the second period (C2). However, with probability 1 - P(I), the person don't get Y and therefore only consume C1. Note that if the individual only invest the loan (L=I) and don't obtain Y, he can't consume anything. That motivates him not to invest the whole loan and keep part of the loan in order to warrant at least first period consumption. Therefore, considering B the parameter for the time preference, the problem would be: max U=ln(C1) + Bln(C2) s.t: L = I + C1 Y(I) = L(1+r) + C2 with Probability P(I) or s.t: L = I + C1 with probability 1 - P(I) My question is, Have you ever seen something like this? If yes, how to proceed? What is more important, I really need a bibliography (a book or article talking about this)

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)

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?

2)(x - 3)(x + 3) d. (x2 - 4)(x2+ 9) Value: 1 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? staplergraph.jpg a. $19.95 b. $18.95 c. $16.95 d. $19.25 Value: 1 If equation image indicator then x = a. 7 b. 1/5 c. 5 d. 1/7 Value: 1 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? a. 1/3 b. 0 c. 1/2 d. 1/4 Value: 1 If 6m + 4 = 8m, then 4m = a. 6 b. 2 c. 8 d. 4 Value: 1 In the xy-plane, what is the y-intercept of the graph of the equation equation image indicator? a. 2 b. 4 c. 16 d. There is no y-intercept. Value: 1 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 Value: 1 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. 22 b. 28 c. 35 d. 40 Value: 1 (3x-2y4)-3 = a. equation image indicator b. equation image indicator c. equation image indicator d. equation image indicator Value: 1 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. 28 b. 30 c. 32 d. 34 Value: 1 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? a. 20 b. 50 c. 70 d. 80 Value: 1 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? a. 21 b. 15 c. 19 d. 9 Value: 1 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 Value: 1 The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9? a. 54 b. 6 c. 2/3 d. 3/2 Value: 1 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? a. 21 b. 11 c. 0 d. 55