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Application problems including radical equations.
Use radical equations to solve the following problems. Round all answers to the nearest tenth.
1. Vince wants to make a square patio in his yard. He has enough concrete to pave an area of 378 square feet. How long can a side of his patio be?
2. A hang glider dropped his cell phone from a height of 450 feet. How many seconds did it take for the cell phone to reach the ground?
3. An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks was 84 feet. What was the speed of the vehicle before the brakes were applied?
4. How far from the base of the house do you need to place a 13-foot ladder so that it exactly reaches the top of a 10- foot tall wall?
5. A baseball diamond is a square that is 90 feet on each side. What is the distance a catcher has to throw the ball from home to second base?
The radioactive isotope carbon-14 is present in small quantities in all life forms, and it is constantly replenished until the organism dies.
If you deposit money continuously at a constant rate of $1000 per year into a bank account that earns 5% interest, how many years will it take for the balance.
If you have a graphing device, graph the curve to check your work. Find the points on the curve where the tangent is horizontal. Find the points on the curve where the tangent is vertical.
A square's side is increased by 3 yards, which corresponds to an increase in the area by 81 square yards. How many yards is the side of the initial square?
A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 8 ounces, the company wants the packages to contain 8.17 ounces so that virtually none of the packages con..
A marketing expert for MTV is planning a survey in which 500 people will be randomly selected from each age group of 10-19, 20-29, and so on. What type of sampling technique is being used?
Find the volume of the solid generated by revolving the following region about the y-axis. The region in the first quadrant bounded above by the parobola y=x^2, below by the x-axis, and on the right by the line x=3.
Three friends board an airliner just before departure time. There are only 11 seats left, 4 of which are aisle seats
Determine the equation of the straight line and Write a linear equation that describes the book value of the machine each year
What is the variance of the binomial distribution of voters supporting a particular referendum? In a survey, 80% of the voters support a particular referendum. If 20 voters are chosen at random
Find the smallest positive root of each of the following equations to maximum precision on your computer using Algorithms 3.1, 3.3, 3.4 and 3.5. Compare your results, the number of iterations required and the accuracy attained.
The volume of a square-based rectangular cardboard box needs to be 1000 cm^3. Determine the dimensions that require the minimum amount of material to manufacture all six faces.
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