Throwing events in track and field include the shot put, the discus throw, the hammer throw, and the javelin throw. The distance that an athlete can achieve depends on the initial velocity of the object thrown and the angle above the horizontal at which the object leaves the hand. In Exercises of 37-138, an athlete whose event h the shot put releases the shot with the same initial velocity, but at different angles. (Refer to the preceding information and the graphs shown in Exercises 137) When the shot is released at an angle of 65 o , its path can be modeled by the formula y = − 0.04 x 2 + 2.1 x + 6.1 in which x is The shot's horizontal distance, in feet, and y is its height, in feet. This formula is shown by one of the graphs, (a) or (b), in the figure in Exercises 137. Use the formula to determine the shot's maximum distance. Use a calculator and round to the nearer tenth of a foot. Which graph, (a) or (b), shows the shot's path?
Throwing events in track and field include the shot put, the discus throw, the hammer throw, and the javelin throw. The distance that an athlete can achieve depends on the initial velocity of the object thrown and the angle above the horizontal at which the object leaves the hand. In Exercises of 37-138, an athlete whose event h the shot put releases the shot with the same initial velocity, but at different angles. (Refer to the preceding information and the graphs shown in Exercises 137) When the shot is released at an angle of 65 o , its path can be modeled by the formula y = − 0.04 x 2 + 2.1 x + 6.1 in which x is The shot's horizontal distance, in feet, and y is its height, in feet. This formula is shown by one of the graphs, (a) or (b), in the figure in Exercises 137. Use the formula to determine the shot's maximum distance. Use a calculator and round to the nearer tenth of a foot. Which graph, (a) or (b), shows the shot's path?
Solution Summary: The author evaluates the solution of a quadratic equation c-0.04x2+2.1x+6.1. The solution corresponds to the distance travelled
Throwing events in track and field include the shot put, the discus throw, the hammer throw, and the javelin throw. The distance that an athlete can achieve depends on the initial velocity of the object thrown and the angle above the horizontal at which the object leaves the hand.
In Exercises of 37-138, an athlete whose event h the shot put releases the shot with the same initial velocity, but at different angles.
(Refer to the preceding information and the graphs shown in Exercises 137) When the shot is released at an angle of 65o, its path can be modeled by the formula
y
=
−
0.04
x
2
+
2.1
x
+
6.1
in which x is The shot's horizontal distance, in feet, and y is its height, in feet. This formula is shown by one of the graphs, (a) or (b), in the figure in Exercises 137. Use the formula to determine the shot's maximum distance. Use a calculator and round to the nearer tenth of a foot. Which graph, (a) or (b), shows the shot's path?
Evaluate the following expression and show your work to support your calculations.
a). 6!
b).
4!
3!0!
7!
c).
5!2!
d). 5!2!
e).
n!
(n - 1)!
Amy and Samiha have a hat that contains two playing cards, one ace and one king. They are playing a game where they randomly pick a card out of the hat four times, with replacement.
Amy thinks that the probability of getting exactly two aces in four picks is equal to the probability of not getting exactly two aces in four picks. Samiha disagrees. She thinks that the probability of not getting exactly two aces is greater.
The sample space of possible outcomes is listed below. A represents an ace, and K represents a king. Who is correct?
Consider the exponential function f(x) = 12x. Complete the sentences about the key features of the graph.
The domain is all real numbers.
The range is y> 0.
The equation of the asymptote is y = 0
The y-intercept is 1
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