In the given figure, PR is 12 more than twice PQ, and QR is two more than four times PQ. If all three sides of the triangle have integer lengths, what is the largest possible value of x?

Q: Solve the following equation with master theorem  T(n) = 2T(n/2) + n2

A:

Q: A piggy bank was filled with only quarters ($0.25) and nickels ($0.05). If there was exactly 51…

A:

Q: Solve the equations for x . ax +2x =a x = if a ≠ −2.

A:

Q: Which of the following equations are true? (choose 3) 11 x 105 1.375 x 1010 %3D 8 x 10-5 (9 x 105) +…

A: amn =  am an  (ab) + (cb) = (a+c)b  am/an = am-n

Q: 5. Find two positive numbers whose sum is 10 and the sum of their squares is as small as possible.

A:

Q: If is a solution of the equation 3x then k = %3D

A: Here given that a equation and its solution and we find value of K . Here i attached solution of…

Q: A researcher is examining cooperation between peers by observing children at six years eight years…

A:

Q: Find the pasticulao Solution of the ng Anitial Value Problem bting 8- 1) =2 %3D

A: We have to find the particular solution of the initial value problem dydx+12xy=xy-8 with the initial…

Q: Solve the IVP, explicitly if possible. 3y x+9(-7)=1 (x– 7)* 8. y=(x+9)3 (x + 9|) yl = (x+9|)

A:

Q: Suppose A is m x n and b is in TRm. What has to be true about the two numbers rank| A b and rank A…

A:

Q: 2 solve the following set of three equations by Gramer and by A XI-X22X3 = 1 2X1 - X3 = 2 X₁ + X₂ +…

A: Given the system of equations: x1-x2-2x3=12x1-x3=2x1+x2+x3=3 Solve using Cramer's rule.

Q: Apply Polya’s Strategy to solve the following problem. 1. How many children are there in a family…

A:

Q: Show that the equation (1, 2, 3) × v = (−1, 2, a) has no solutionfor a = −1

A: Consider the given: Given equation:1,2,3×v=−1,2,aLet v=x,y,z1,2,3×v=ijk123xyz…

Q: Suppose you are standing such that a 30-foot tree is directly between you and the sun. If you are 5…

A:

Q: Solve the following problem: (4x*y®)? 3. 9.

A: Given: Let A=(4x3y6)2

Q: Marvin says that the dark circles below can’t represent 1/3  because there are 5 circles, and 5 is…

A:

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A:

Q: A man launches his boat from point bank of straight river, 2 km wide, wants to reach 1 km downstream…

A: Let the man lands at some point D at a distance of x from C where x can also be 0 and 1 KM which…

Q: The sum of the first n natural numbers, S = 1 + 2 + 3 + first n natural numbers is 171, determine…

A: Consider the given information:

Q: Draw the dual to S4.

A: As per the question we are given a planner graph S4 and w have to draw its dual graph.

Q: Use the previous problem to show there are infinitely many solutions. to r² = 1+ y² +².

A: As per the question we have to prove that there are infinitely many solutions to the equation : x2 =…

Q: A man launches his boat from point A on a bank of a straight river, 1 km wide, and wants to reach…

A: The solution is given as follows :

Q: A woman is on a lake in a rowboat located 1 mile from the closest point P of a straight shoreline.…

A:

Q: If x2 + y2 = 16 and x-y 3, then what is x? If there are two possible answers, then enter the larger…

A: Given that      x2 + y2 = 16     and     x - y = 3 Here we have to find the value of x .

Q: Solve the IVP: X' = AX, where -4 1 1 A 2 -5 0 -4 1

A: Given I.V.P. is  ,             X'  =  AX  where ,…

Q: Based on Problem 2, we have the two equations3HK = -p and H3 + K3 = -qSolve for K in 3HK = -p and…

A: Explanation: Given that, 3HK=-pH3+K3=-q   Solve equation (1) for K K=-P3H Substitute the value of K…

Q: Is either x = 10 or x = 13 a solution to 10 + x > 9 ? They are both solutions. O x= 13 is a…

A: Given  10+x > 9

Q: 7) The solution of 5-2x = 3, is: a) In b)logs (3) d) logs (3)

A: As you mentioned question no 7 solved

Q: n 10x + 11y = n has

A: The equation as, ax+by=S. The smallest positive integer S is expressed as, S=(k+1)*a*b

Q: 1. The product of two positive numbers is 4y3. Find the numbers so that the sum S of the square of…

A:

Q: Which statement is FALSE? ) The sum of odd degrees always equals the sum of even degrees ) The sum…

A: ANSWER :

Q: A teacher finds that for test grades in Class A, x̄ = 32 and S x = 4; for test grades in Class B, x̄…

A: Given information: The mean and standard deviation of the test grades of class-A are 32 and 4,…

Q: A teacher finds that for test grades in Class A, X = 32 and Sx = 4; for test grades in Class B, X =…

A: Given information: The mean and standard deviation of the test grades of class-A are 32 and 4,…

Q: A man launches his boat from point A on a bank of a straight river, 4 km wide, and wants to reach…

A:

Q: A man launches his boat from point A on a bank of a straight river, 4 km wide, and wants to reach…

A: Let x = the distance from C to D, 0≤x≤1 We want to minimize the time, t, it takes t row to point D…

Q: Solve the following inequations a) 8x + 3y = 5 %3D бх — 9у < 0 b) 7x + 4y < 6 2х — Зу = -10

A: Find your answer below

Q: Solve the PDE of the first order и, — и, — 0, и(х,Зх) — 2? и (х, Зг) — Ur – = x

A: Given problem is :

Q: The sum of values of x for which the equation x0929 + x. 3o92 * = xl092 15 holds true is

A: The graph is shown below:

Q: For this problem, assume that all the odd numbers are equally likely, all the even numbers are…

A: Assuming that a die is thrown, which has 6 possible outcomes as 1,2,3,4,5,6. Then the question is…

Q: (iv) y = (x³ + 4.x² – x*/3)(x7 + x³ – p³ + 2x – 9). - -

A:

Q: Find the solutions that can be read from the simplex tableau. X₁ X2 X2 X3 X3 S1 9 0 7 5 0 6 2 1 0 -8…

A:

Q: Solve the following by using elimination or substitution method #1 x-y =0 X²+2 y = 24 #2 X² - y =1…

A:

Q: solve the following set of equations by using the gauss erimination program. と2 +x3-x4 = 5 X2+23-4…

A: Write the augmented matrix corresponding to this system of equations. Then convert this matrix to…

Q: 5. Solve the following PDE: а. их — иу + и a²u b. 45 ə x² a²u at2

A:

Q: For a second example, consider fk = 3k3 + k – 1. We have Afk = 9k² + 9k + 4, A² fk = 18k + 18, A³ fk…

A:

Q: man launches his boat from point A on a bank of a straight river, 2 km wide, and wants to reach…

A: