suppose the sum of two positive numbers a and b is 13. What is the largest valu that ab^2 can be?

Q: The average amount of money held by each child in a group of 5 is $0.50.If one of the children loses…

A: Given that: Total number of child = 5Average money held by each child = $0.50

Q: Four whole numbers are each rounded to the nearest 10 The sum of the four rounded numbers is 90 What…

A: Given: Four numbers each rounded to the nearest 10. Sum of the four rounded number is 90.

Q: The service elevator at AR Hector Financial Complex has a maximum capacity of 2870 lbs. If the…

A: Given: The service elevator at AR Hector Financial Complex has a maximum capacity of 2870 lbs. The…

Q: Suppose a hiker finds himself in a forest 4 miles from the nearest point on a straight road. He…

A:

Q: a rectangular plot of land is to be enclosed by a fence. Furthermore an additional section of fence…

A:

Q: A 216 square meter rectangular tomato and pepper garden is to be enclosed by a fence and divided…

A:

Q: An athletes runs with velocity 11 km/h for 4 minutes, 14 km/h for the next 2 minutes, and 17 km/h…

A: Use the velocity distance formula given below, d=v×t where d is the distance, v is the velocity (in…

Q: A media personality argues that global temperatures are not Rising because every year and increases…

A: Answer:   The best counter argument is

Q: Two bees leave two locations150  meters apart and fly, without stopping, back and forth between…

A: Given information: Two bees two location 150 meters apart and fly, without stopping back and forth…

Q: Find the minimum sum of two positive numbers (not necessarily integers) whose product is 200.

A:

Q: Suppose the test for Corona is 99% accurate in both directions and 0.3% of the population is Corona…

A: The Accuracy of the test is 99% both ways that means false positive and false negative percentage is…

Q: The product of two consecutive interference is 13 less than five times their sum. Find the…

A: Consider the two consecutive integers as x and x + 1.Then, the sum and the product of the two…

Q: 2. The sum of two positive numbers is 16. What is smallest possible value of the sum of their…

A:

Q: A 168-m long fence is to be cut into pieces to make three enclosures, each of which is square. How…

A:

Q: An instructor has graded 20 exam papers submitted by students in a class of 21 students, and the…

A:

Q: Suppose a rectangular picture frame has a thin border made from a 144-inch-long strip of bronze. If…

A: # Considering the width of border negligible Length of the strip is 144 inch Now let the length of…

Q: Suppose that the bacteria in a colony can grow unchecked. If the colony bacteria starts with 2…

A:

Q: A 480-m long fence is to be cut into pieces to make three enclosures, each of which is square. How…

A: We will use Lagranges multiplier to solve this question.

Q: A rectangular field is four times as long as it is wide. If the perimeter of the field is 500 yards,…

A:

Q: The sum of the first 100 positive whole numbers is 5050. What is the sum of the first 100 positive…

A:

Q: A 120-m long fence is to be cut into pieces to make three enclosures, each of which is square. How…

A: Given: The length of the fence is 120 m. The fence is to be cut into pieces to make three square…

Q: page 237 to help you. Find two positive numbers whose sum is 784 and the sum of whose squares is a…

A:

Q: A man travels first 900 Kms of his journey by train at an average speed of 80 Kms per hour, next…

A: Solution is given:

Q: Show that the sum of a positive number and its reciprocal is at least 2.

A:

Q: A rectangular page is to contain 60 square inches of printable area. The margins at the top and…

A: Here, given that the printable area of the page is 60 square inches. Let x be the length of the…

Q: the sum of the ages of Juman ans Nina is 112 years ago. 6 years ago, Juwan age was 4 time Nina's…

A: Using given information we will solve the question.

Q: What is the largest possible product you can form from two non-negative numbers whose sum is 56? The…

A: To find: largest possible product you can form from two non-negative numbers whose sum is 56

Q: A board, 38 cm long is cut into three pieces such that the second piece is twice as long as the…

A:

Q: The Escherichia coli culture (better known as E. coli) doubles every 40 minutes. If 30 E. coli are…

A:

Q: Is a product of two positive decimals each less than 1 always less than each of the decimals?

A: To state the give statement is true or false.

Q: express 20 as the sum of two positive numbers such that x^3 + y^2 is as small as possible

A: To express 20 as the sum of two positive numbers such that x3+y2 is as small as possible. Let the…

Q: A rectangular field is to be fence into four equal parts. What is the size of the largest field that…

A: Assume the original rectangular field does not yet have a perimeter fence,   5x+2y=15002y=1500-5x…

Q: A farmer wants to fence in an area of 200 square feet in a rectangular field and then divide it in…

A: Given Area of rectangular field =200 square feet

Q: How many kg of rice costing *8 per kg must be mixed with 36 kg of rice costing * 5.40 per kg so that…

A: The expression y percent gain on x is same as: x1+y100.

Q: A super bouncy ball is dropped from a height of 30 feet.  Each time the ball bounces, it bounces to…

A: Given: A super bouncy ball is dropped from a height of 30 feet. Each time the ball bounces, it…

Q: A rectangular field is three times as long as it is wide. If the perimeter of the field is 400…

A: Suppose that the width of a rectangular field is x then the length of the rectangular field is 3x.

Q: find two positive numbers whose sum is 300 and whose product is a max

A:

Q: 4) THE SUm OF TWO CON SECUTIVE EVEN INTEGENS IS LECS THAN 95. FIND THE NWMBES.

A: We have to find consecutive even integers:

Q: A 4-meter length of stiff wire is cut in two pieces. One piece is bent into the shape of a square…

A: Let length used for square = x m Length used for rectangle = 4-x m Let side of square = 4a =x a=x/4…

Q: Suppose a total of 15 ounces of medicine is added to the original mixture (so that the total volume…

A:

Q: A 240-m long fence is to be cut into pieces to make three enclosures, each of which is square. How…

A: Solution is given below:

Q: Find three positive numbers whose sum is 63 and such that their product is as large as possible.…

A:

Q: The product of two positive numbers is 185. The smallest possible sum of those number is

A: Since,The prime factorization of 165 is 1Q5 =1X5 X37=5X37 ----1 From 1 it is clear that the two…

Q: Two students appeared at an examination. One of them secured 9 marks more than the other and his…

A:

Q: foz- of 01- tot 20- 15) r= 20

A: Option B is the correct option.   Find the coordinates for the given polar curve. As the value for ?…

Q: A 50-in. piece of wire is divided into two pieces and each piece is bent into a square. How should…

A:

Q: The number of light bulbs that can be expected to last less than 1540 hr is.

A: here given , Suppose that the life expectancy of a certain brand of non defective light bulbs is…

Q: Ten strands of healthy bacteria are placed on a petri dish and are allowed to freely multiply.…

A:

Q: A service elevator at AR Hector Financial Complex has a minimum capacity of 2870 lbs. If the…

A: The following data is given. Maximum Capacity of the elevator = 2870 lbs. Weight of the elevator =…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.