A basketball is tossed vertically into the air at a height of 50 feet. Everytime it strikes the ground, it bounces back to a height of three-fifths of the height from which it fell. Find the total distance travelled by the ball.

Q: A ball dropped from a height of 15 ft begins to bounce vertically. Each time it strikes the ground,…

A: Topic - geometric Progressions

Q: Find the dimensions of the rectangular box with the largest volume if the total area is given as 64…

A: Given that total surface area =  64 cm^2. We know that, the surface area for the rectangular box…

Q: A piece of cardboard measuring 8 inches by 14 inches is formed into an open-top box by cutting…

A:

Q: An asteroid hit the Earth and created a huge crater. Engineers and scientists have measured around…

A: To find affected crater impact we need to find the area regarding this.

Q: A rectangular plot of land is 160 feet long and 50 feet wide. How much fencing is needed in order to…

A: A rectangular plot of land is 160 feet long and 50 feet wide.

Q: If 1700 square centimeters of material is available to make a box with a square base and an open…

A: Given the surface area of square base box

Q: A home owner wishes to use 600 feet of fence to enclose two identical adjacent pens, as in the…

A:

Q: A self storage center is a storage room that is 8 feet long, 6 feet wide, and 10 feet high. What is…

A: Volume can be determined by the following formula :  Volume = l x b x h  Given : l = 8 feet , b = 6…

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 bicycle rider coasts downhill, traveling 4 feet the first second. In each succeeding second, the…

A: An arithmetic sequence is a sequence of numbers that follows with a definite pattern. The pattern is…

Q: A meat slicer is designed to make slices that are 0.04 inches thick. If a sausage is 10 inches long,…

A: Note that,  0.04 inches gives 1 slices 10 inches gives how much?

Q: A crowd standing along a parade route is 5 feet deep and 1 mile long on both sides of the street. If…

A: The ratio of person to area occupied is computed as follows. p:A=1:2.5=2:5 Observe that 1 mile =…

Q: The surface area of two similar figures are 1377 sg. ft and 68 sq. ft . If the volume of the larger…

A: we will answer the first question since exact one was not specified. Please resubmit the question…

Q: estimate the number of times that the sum will be 10 if the two number cubes are rolled 600 times.

A: Solution: Given that the sum is 10 The only 3 ways that two dice can sum to 10 are (4, 6), (5, 5),…

Q: If 1500 square centimeters of material is available to make a box with a square base and an open…

A: We can solve the given problem by using the second derivative test.

Q: If 1900 square centimeters of material is available to make a box with a square base and an open…

A:

Q: The masses of two similar round mooncakes are 250 g and 54 g respectively.   If the mass of the…

A:

Q: A ball is dropped from a height of 128 feet. After each bounce it will rebound to a height that is…

A: The solution is :

Q: If 1800 square centimeters of material is available to make a box with a square base and an open…

A: If 1800 square centimeters of material is available to make a box with a square base and an open…

Q: the surface area of a sphere is increased by 46.5%, its volume will most likely be increased by how…

A: If r= radius of the sphere, then Volume of sphere : V=43πr3 Surface area of sphere : S=4πr2 i.e. V…

Q: A basketball is dropped from 30 feet. Each time it hits the ground, it rebounds 45% of its previous…

A: S=a+ar+ar^2.............  =a/(1-r)

Q: an air conditioning system can circulate 350 cubic feet of air per minute. how many cubic yards of…

A:

Q: Given the diagram to the right, find its total length.

A: Given diagramWe need to find its total length

Q: Suppose you drop a rubber ball from a height of 15 ft. Each time the ball bounces, it reaches a…

A:

Q: Find the total area of the lawn that Jack wi|ll be mowing.

A:

Q: A homeowner wants to enclose three adjacent rectangular pens of equal size, as in the following…

A: Solution-

Q: The stack of memo pads contains 500 sheets of paper. If each sheet of paper is 4 inches by 4 inches…

A:

Q: When a rubber ball falls, it rebounds to a height 60% of the height from which it dropped. If the…

A: SOLUTION-

Q: A self-storage center has many storage rooms that are 6 feet wide, 10 feet deep, and 12 feet high.…

A: Given dimensions of storage room:    width,  w= 6ft    depth,  d=10 ft     height, h=12 ft

Q: b. What will the total distance traveled by the snail be in 7 hours?

A: Given that, In first hours it climbs 16 inches, in second hours it climbs 12 inches, and in third…

Q: A hemispherical tank is filled with water and has a diameter of 22 feet. If water weighs 62.4 pounds…

A: the volume of a hemisphere is given by  V=23πr3 here diameter is 22 feet so the radius is r=11 feet…

Q: A rectangular piece of cookie dough has an area of 640 square inches. If the cookie was rolled out…

A:

Q: An 12% strength bleach solution is created, when 3.5L of water is evaporated away from a 9% bleach…

A: If a certain quantity of a solute is mixed with a certain quantity of solvent to get a new mixture,…

Q: If a basketball is inflated to be eight times its original volume, how many times bigger is the…

A:

Q: A circular fountain has 132132 feet of railing around it. What is the area of the fountain to the…

A:

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 farmer wishes to erect a fence enclosing a rectangular area adjacent to a barn which is 35 feet…

A: Perimeter of a rectangle= 2(length + breadth)  Length (l)  of rectangular are = 35 Total fencing…

Q: A stone was dropped off a cliff and hit the ground with a 2speed of 120 ft/s. What is the height of…

A: Given: Velocity with which the stone hits the ground =120 ft/s.

Q: he face of the right triangular

A: Given,

Q: a medical assistant subscribes to 13 magazines for the office. if the total subscription bill is…

A: Let 1 magazine costs $x 13 magazines cost 13 times $x. = $13x

Q: An asteroid has hit the Earth and created a huge crater. Engineers and scientists have measured…

A: Circumference of crater=79.5 mi 2πr=79.5r=79.52πr=12.659 mi

Q: The Greenland ice sheet contains about 3 million cubic kilometers of ice. If completely melted, this…

A: The volume of ice sheet = 3 million cubic kilometersThe volume of water released by the meltdown of…

Q: An 15% strength bleach solution is created, when 4L of water is evaporated away from a 9% bleach…

A: Let the original volume of the original 9% bleach solution= x Liter

Q: A machine can peel 3 kg of potatoes in 5 minutes. At this rate, how many kilograms of potatoes can 4…

A:

Q: Suppose the length of a rectangular  solid increases by 15 percent, the width decreases by 25…

A: Consider l, w and h as the length, width and height of a rectangular solid.And consider the measure…

Q: A ball is dropped from a height of 15 ft and bounces 77 % of its previous height on each bounce. How…

A:

Q: The ball dropped from a height of 10 meters bounces 2/3 of the previous one in each bounce. What is…

A: Total distance traveled by the ball; The ball drops from 10 meters; and bounces to 2/3*10 meters and…

Q: a guy wire is stretched from a communications tower in a nature preserve at a point 200 feet above…

A: It is given that the length of the tower is 200 feet and the anchor is 125 feet from the base. so,…

Q: A rectangular plot of land is 160 feet long and 50 feet wide. How much fencing is needed in order to…

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.