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Radius of a Sphere A jeweler has three small solid spheres made of gold, of radius 2 mm, 3 mm, and 4 mm. He decides to melt these down and make just one sphere out of them. What will the radius of this larger sphere be? 75. Dimensions of a Box A box with a square base and no top is to be made from a square piece of cardboard by cutting 4-in. Squares from each corner and folding up the sides, as shown in the gure. The box is to hold 100 in3. How big a piece of cardboard is needed?
A car traveling along a straight road at 74 ft/sec accelerated to a speed of 89 ft/sec over a distance of 315 ft. What was the acceleration of the car, assuming it was constant? (Round your answer to two decimal places.)
Jerry has a total of 23 marbles. The marbles are either blue or green. He has three more blue marbles than green marbles. How many green marbles does he have?
The area of a rectangle is 48 square centimeters. If the length of the rectangle is 8 centimeters longer than the width, how wide is the rectangle?
A plane is heading due south with an airspeed of 237 mph. A wind from a direction of 50 degrees is blowing at 12 mph. Find the bearing of the plane.
translate the phrase to an algebraic expression Justin had $41 before spending n dollars on jeans. How much money remains?
Kasey was hungry so she chose 5 crickets to eat. She weighed them in pairs. The weights were 11,11.2, 11.3, 11.4, 11.5, 11.6, 11.7, 11.8, 12, 12.1. How much does each cricket weigh.
the perimeter of a rectangle is 900 feet. The ratio of the length to breadth is 7:3. What is the length and breadth
find the terminal point on the unit circle determined by 7pi/6
If the compant plans to increase monthly advertising expenditures at the rate of 1.5 thousand dollars per month, how fast will sales rise?
A rectangle plaque 1.5 cm thick is made of two kinds of metal. The central rectangle has an area of 24cm squared and costs 10 cents/cm cubed. The 1-cm border on the sides and the 2-cm border at the top and bottom cost 5 cents/cm cubed. What shape ..
Compare the results for 1 and 2, and debate if testing improves the company's decision-making ability.
Show that if R and S are commutative rings with 1, phi:R-->S is a homomorphism of R onto S, and I is an ideal of R, then phi[I]={phi(r): r included in I} is an ideal of S.
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