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Add the proper constant to each binomial so that the resulting trinomial is a perfect square...
Question 1) Ricky and Tom are doing math together. 1a) Rick thinks this is perfect square trinomial. Tom thinks this is...
Question 1) Ricky and Tom are doing math together. 1a) Rick thinks this is perfect square trinomial. Tom thinks this is a difference of two squares. Who is correct? [x2 + 8x + 16] · [x2 – 8x + 16] = (x2 – 16)2 1b) Rick thinks this is perfect square trinomial. Tom thinks this is a difference of two squares because the first term is negative. Who is correct? Why or why not? –9x2 – 30x – 25 1c)...
Provide an example of each of the following. a. a binomial: b. a perfect square: c....
Provide an example of each of the following. a. a binomial: b. a perfect square: c. an ordered pair: d. an integer:
9.14 Theorem. f the natural mumber N is a perfect square, then the Pell equation Ny 1 has no non-trivial integer soluti...
9.14 Theorem. f the natural mumber N is a perfect square, then the Pell equation Ny 1 has no non-trivial integer solutions. After all this talk about trivial solutions, let's at least confirm that in some cascs non-trivial solutions do cxist. 9.15 Exercise. Find, by trial and error at least two non-trivial solutions to each of the Pell equations x2-2y2 I and x-3y21 Rolstcred by the cxistence of solutions for N 2 and N 3, our focus from this point...
How to add exceptions to this code for each month so that it won't exceed the...
How to add exceptions to this code for each month so that it won't exceed the amount of days that in each one for them. Example there are only 28 days in feb and 31 days in march. import java.sql.Timestamp; public class RandomDate { public static void main(String[] args) { long begin=Timestamp.valueOf("1900-01-01 00:00:00").getTime(); long end=Timestamp.valueOf("2014-12-31 00:00:00").getTime(); long diff=end-begin+1; Timestamp rand=new Timestamp(begin+(long)(Math.random()*diff)); int month=rand.getMonth()+1,day=rand.getDate(),year=rand.getYear()+1900; String[] months={"Janunary","February","March","April","May","June","July","August","September","October","November","December"}; String suffix="th"; if(day==2)suffix="nd"; else if(day==3)suffix="rd"; else if(day==1)suffix="st"; System.out.println("Random Date is: "+month+"/"+day+"/"+year); System.out.println("Formatted...
1.Four loads are fixed at the vertices of a perfect square, as shown in figure 1....
1.Four loads are fixed at the vertices of a perfect square, as shown in figure 1. Calculate the magnitude and direction of the force in each of the loads. Calculate the force (magnitude and direction) felt by a positive test load of 4.15mC just in the center of the square. Note that mC means micro Coulombs (1x10-3C). 2.Two charges, q1 = 25C and q2 = -5C, are separated by a distance of 2cm. Find the position (or positions) along that...
Using a long rod that has length , you are going to lay out a square...
Using a long rod that has length , you are going to lay out a
square plot in which the length of each 2. side is . Thus the area
of the plot will be However, you do not know the value of , so you
decide to make n independent measurements X1;X2; :::;Xn of the
length. Assume that each Xi has mean 2. (unbiased measurements) and
variance o^2.
Question C only, Now if I estimate u using both X1...
34.1. In this chapter we have shown that Pell's equation x2- Dy2-1 always has a so- lution in positive integers. Th...
34.1. In this chapter we have shown that Pell's equation x2- Dy2-1 always has a so- lution in positive integers. This exercise explores what happens if the 1 on the right-hand side is replaced by some other number (a) For each 2 < D < 15 that is not a perfect square, determine whether or not the equation x2 - Dy2 - -1 has a solution in positive integers. Can you determinea pattern that lets you predict for which D's...
2. Consider a two-period (T = 2) binomial model with initial stock price So = $8,...
2. Consider a two-period (T = 2) binomial model with initial stock price So = $8, u= 2, d=1/2, and “real world” up probability p=1/3. (a) Draw the binary tree illustrating the possible paths followed by the stock price process. (b) The sample space for this problem can be listed as N = {dd, jdu, ud, uu}. List the probabilities associated with the individual elements of the sample space 12. (c) List the events (i.e., the subsets of N2) making...
Match each problem to the time complexity class it likely belongs to: 1. O(1): Constant 2....
Match each problem to the time complexity class it likely belongs to: 1. O(1): Constant 2. O(n): Linear 3. O(n!): Factorial 4. O(logn): Logarithmic 5.O(n2): Quadratic 6. O(n3): Cubic OPTIONS: a. Find an element in an unsorted array b. Shortest path between two nodes in a graph c. Matrix multiplication d. Generate permutations of a string e. Add an element to the front of a linked list f. Find an element in a binary search tree
Suppose that a car weighing 4000 pounds is supported by four shock absorbers Each shock absorber has a spring constant of 6500 lbs/foot, so the effective spring constant for the system of 4 shock ab...
1. Suppose that a car weighing 4000 pounds is supported by four shock absorbers Each shock absorber has a spring constant of 6500 lbs/foot, so the effective spring constant for the system of 4 shock absorbers is 26000 lbs/foot.1. Assume no damping and determine the period of oscillation of the vertical motion of the car. Hint: g= 32 ft/sec22. After 10 seconds the car body is 1 foot above its equilibrium position and at the high point in its cycle....
Provide an example of each of the following. a. a binomial: b. a perfect square: c. an ordered pair: d. an integer:
9.14 Theorem. f the natural mumber N is a perfect square, then the Pell equation Ny 1 has no non-trivial integer solutions. After all this talk about trivial solutions, let's at least confirm that in some cascs non-trivial solutions do cxist. 9.15 Exercise. Find, by trial and error at least two non-trivial solutions to each of the Pell equations x2-2y2 I and x-3y21 Rolstcred by the cxistence of solutions for N 2 and N 3, our focus from this point...
Using a long rod that has length , you are going to lay out a
square plot in which the length of each 2. side is . Thus the area
of the plot will be However, you do not know the value of , so you
decide to make n independent measurements X1;X2; :::;Xn of the
length. Assume that each Xi has mean 2. (unbiased measurements) and
variance o^2.
Question C only, Now if I estimate u using both X1...
34.1. In this chapter we have shown that Pell's equation x2- Dy2-1 always has a so- lution in positive integers. This exercise explores what happens if the 1 on the right-hand side is replaced by some other number (a) For each 2 < D < 15 that is not a perfect square, determine whether or not the equation x2 - Dy2 - -1 has a solution in positive integers. Can you determinea pattern that lets you predict for which D's...
2. Consider a two-period (T = 2) binomial model with initial stock price So = $8, u= 2, d=1/2, and “real world” up probability p=1/3. (a) Draw the binary tree illustrating the possible paths followed by the stock price process. (b) The sample space for this problem can be listed as N = {dd, jdu, ud, uu}. List the probabilities associated with the individual elements of the sample space 12. (c) List the events (i.e., the subsets of N2) making...
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At a certain temperature, the equilibrium constant, Kc, for this
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H2(g)+I2(g)−⇀↽−2HI(g)Kc=53.3
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