2. Find two nonnegative numbers whose sum is 2022 and whose sum of squares is as large as possible

Q: (In(x))² xp 3. 2.

A: The given interval is I=∫12lnx2x3dx.

Q: 2. What is mUV (5x+5) T 70° 80° 100⁰ 122⁰ (6x-20) O (4x+ 20): W

A:

Q: Two negative integers are 8 units apart on the number line and have a product of 308. Which…

A:

Q: A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying…

A: Let x1,x2 and x3 denote the number of 6000, 12000 and 24000 gallon capacity tank cars.

Q: A company wants to have 6-digit phone extensions with the first digit not being zero. How many…

A: Given, No. of digit in phone extension = 6 First no- cannot be  0 Therefore no. of ways it can be…

Q: Let Ax6 and B then the size of AB = 6x4

A: We have to find the size of AB (if exist)  if A4×6 and B6×4 .

Q: Suppose two positive real numbers a and b add to 120. Find the values of a and b that maximize the…

A: Given a+b=120 .....1

Q: - Find two positive even consecutive integers such that the square of the smaller integer is 10 more…

A: Consider the first even positive integer be 'x'. The second consecutive even positive integer be…

Q: 26. The sum of two squares of two negative integers is 421, while the difference of the squares is…

A:

Q: Can a number N, sum of whose digits is 21345, be a square of a natural number?

A: Given: a number N, sum of digit is 21345

Q: Find a counterexample to the statement that every positive integer can be written as the sum of the…

A: Claim: Every positive integer can be written as the sum of the squares of three integers. The given…

Q: What is the largest number k for which 2x+3y=20 and 3x+4y=k have the same number if positive integer…

A: Given that, there are two equations following, 2x + 3y = 20…

Q: The product two odd integers is even, whereas the product of an odd integer and an even integer is…

A: The product of two odd integers is odd. The product of an odd integer and an even integer is even.

Q: A man has a change of $4.55 compose entirely of dime and quarters. What are the maximum and minimum…

A: Detailed explanation mentioned below

Q: If there are x teams in a league and each team plays every other team twice, then the total…

A: Quadratic equation : A quadratic equation is any equation that can be rewritten in standard form as…

Q: Suppose than an open box is to be made from a square sheet of cardboard by cutting out 3-inch…

A:

Q: Ov +72-7+ 10v > 7v – 1

A: Inequality 9v+7≥-7+10v≥ 7v-1 Need to solve this inequality and graph number line

Q: За. If m25 = 110°, find the m26. %3D 1/2 4/3 5/6 8/7

A:

Q: 16. What is the sum of the solutions of 12x + 4|-6 = 8?

A:

Q: Suppose that I want to purchase a tablet computer. I can choose either a large,medium or small…

A:

Q: 2. The sum of 3x? + x + 8 and x2 - 9 can be expressed as..

A:

Q: 0.8w+3.6 factered is

A: We have to factor 0.8w + 3.6 We can write 0.8w + 3.6=4 (0.2w + 0.9)= 0.4 (2w + 9)=410( 2w + 9)  =25…

Q: Determine two numbers whose sum is 36 and whose product is the largest possible. 20 and 16 15 and 21…

A:

Q: A realtor uses a lock box to store the keys to a house that is for sale . The access code for the…

A:

Q: A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying…

A: Given ,  A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined…

Q: Determine the number of integer solutions to the equation below: X1 + x2 + x3 + X4 + x5 = V subject…

A:

Q: Eliminate the arbitrary constant in x^3 - 3yx^2 = c. *

A:

Q: Prove that the sum of the squares of three consecutive integers cannotbe a square.

A:

Q: (b) k(k - 1). k-3

A: Note: As per our company guidelines we are supposed to answer only one question. Kindly ask the…

Q: What two positive real numbers whose product is 50 have the smallest possible sum?

A:

Q: 3. There are 12 fishermen. In order to fish, each fisherman who decides to do so has to rent a boat…

A: (a) If all of the fishermen decided to fish then there are 12 fishermen, so all 12 will go for…

Q: 20) Show that the sum of two consecutive integers is always odd.

A: Let x be any integer. Then its consecutive integer can be written as x+1.

Q: Calculate             a)12/7 x  (-2 2/3) ÷ 13/7  + 11/3 =…

A: a).…

Q: A project management consultant estimated that if a particular project was completed, t years after…

A:

Q: 4. If I have a group of x soldiers, and I divide them into rows to learn the remainder of x when…

A: Let us determine whether the statement is TRUE or FALSE in the next step.

Q: with

A:

Q: Similarly, for F2, since the middle third of each side of F1 is removed and replaced with two line…

A:

Q: Is it possible for two numbers to have the same least common multiple and greatest common devisor?

A: To check whether for two numbers can have the same LCM and HCF.

Q: A realtor uses a lock box to store the keys to a house that is for sale. The access code for the…

A:

Q: 10. Find the three positive numbers whose sum is 60 and whose product is as large as possible.

A: Here we have to find three positive numbers such that there sum is 60 and there product must be…

Q: Compute a) ( 5-2)^2 x 7 + 4 b) 3+2^3 x 4

A:

Q: > m, m2 = -1 > (m2)=-)m2= -9

A: We can solve it by property of slope of a line.

Q: If the sum of the digits is divisible by 2, then the number is divisible by 2. true or false

A: If the sum of the digits is divisible by 2, then the number is divisible by 2.

Q: A realtor uses a lock box to store the keys to a house that is for sale. The access code for the…

A:

Q: A project management consultant estimated that if a particular project was completed, t years after…

A:

Q: Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost…

A:

Q: The sum of the four positive integers a, b, c, and d is at most 10. Find the number of possible…

A: Explanation of the answer is as follows

Q: The number of different codes available is

A: