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A jar contains 9 red marbles numbered 1 to 9 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability that the marble is blue AND even-numbered.
9a.An artillery shell is fired with an initial velocity of 300 m/s at 62.5° above the horizontal. To clear an avalanche, it explodes on a mountainside 34.5 s after firing. What are the x- and y-coordinates of the shell where it explodes, relative to its firing point?
8b.A projectile is launched with an initial speed of 59.0 m/s at an angle of 35.0° above the horizontal. The projectile lands on a hillside 3.55 s later. Neglect air friction. (Assume that the +x-axis is to the right and the +y-axis is up along the page.)
(a) What is the projectile's velocity at the highest point of its trajectory?
(b) What is the straight-line distance from where the projectile was launched to where it hits its target?
Suppose a firm faces the production function Q=4L+12L^2-2L^3
find the maximum points of AP and MP curves
What pressure will be exerted by 25 g of CO2 at a temperature of 25 degrees celsius and a volume of 500 ml
8a.A house is advertised as having 1900 square feet under roof. What is the area of this house in square meters?
12a.A right triangle has a hypotenuse of length 2.00 m, and one of its angles is 35.0°. What are the lengths of the following sides?
(a) the side opposite the 35.0° angle
(b) the side adjacent to the 35.0° angle
14a. A vector A has components Ax = −2.00 m and Ay = 2.50 m.
Find the magnitude (in m) and the direction (in degrees counterclockwise from the +x-axis) of the vector.
What numerical value of the gas content, R, is used to solve this problem. Explain your answer.
15a.The magnitude of vector A is 29.5 units and points in the direction 330° counterclockwise from the positive x-axis. Calculate the x- and y-components of this vector.
#340153 on Dec 2023