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A bat (at rest) uses high frequency sound waves to "see." Assume the sound waves have frequency of 40,000Hz and move with a speed of 343m/s in air. The wavelength of sound is 8.6mm. The bat "sees" an insect by detecting it with its sound waves. If the sound takes .3 s total time to travel to the insect and then return to the bat after they bounce off the insect so it is 51.5 m away. The insect is moving away from the bat because the returned frequency is 39,000hz. HOW FAST IS THIS INSECT MOVING?
A surveyor standing 58 meters from the base of a building measures the angle of the top of the building and finds it to be 38. The surveyor then measures the angle to the top of the radio tower on the building and finds that is is 50. How tall is ..
Find the area under the standard normal curve to the right of z = 1.55. Round to four decimal places. Find the standardized variable z if x has Mean 12 and standard deviation 10.
Suppose that the price of a stock is $45 at the beginning of the year, the risk-free rate is 6%, and a $2 dividend is to be paid after half a year.
the hights in inches of six trees in a nursery were 67,58,60,70,73, and 65. find the standard deviation and round your answer to two decimal places.
let X be exponentially distributed with rate λX. Given X = u, let Y be a Poisson random variable of rate u. (a) Calculate the expression for fX|Y (u|0) in closed form and draw it as a function of u (hint: try not to calculate any integrals).
Math 171: Abstract Algebra, Fall 2014- Assignment 4. Determine all positive integers n ≥ 2 for which the group (Z/2nZ)× is cyclic. Recall (Z/2nZ)× is the set {[a] | gcd (a, 2n) = 1}, with group operation ×
A horizontal disk of radius a centered at the origin in the xy-plane is rotating about a vertical axis through the center.
What must be true for a pentagon so that it will tessellate a plane?
Convert the slope intercept from equation into standard form, where A B and C are integers and A>0.
When an object of mass m moves with a velocity v that is small compared to the velocity of light, c, its energy is given approximately.
Given an equation of a line, find equations for lines parallel or perpendicular to it going through specified points. Find the appropriate equations and points from the table below. Simplify your equations into slope-intercept form.
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