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examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27 contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12 contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 contained all three items. How many backpacks contained exactly two of the three writing instruments?
Jennifer, who is 63 inches tall, casts a shadow that is 95 inches long. At the same time, Elizabeth's shadow is 101 inches long. How tall is Elizabeth?
What is a mathematical model? Explain in your own words. What are some examples of mathematical models that we can use when working with quadratic functions? (Minimum 300 words).
On each play the probability of winning is 0.432 and of losing 0.568. If the gambler begins with $2, what is the expected number of times that he will play before quitting? (Round your answer to 3 decimal places.)
A bacteria population starts with 400 bacteria and grows at a rate of r(t) bacteria per hour. How many bacteria n will there be after three hours? (Give your answer to the nearest bacterium.) r(t) = 450.266 e^(1.12567 t)
Explain Description of Isomorphism, We are working on the proof of showing G (the group of rigid motions of a regular dodecahedron) is isomorphic to the alternating group A_5.
The combined degrees of freedom
while the slower train continues at constant speed, how soon will they collide?
Computer A can a job in 4 hours. Computer B can do the same job in 2 hours. How long will it take them working together?
the base of a right triangular prism is a isosceles triangle whose equal sides measure 25 cm each. the volume is 0.075 cubic meters. what is the height of the prism.
Find the equation of the tangent line to the graph of the function f(x) = x + 3^-2x - 2sin(x) at the point with x-coordinate 0.
Determine the coefficient of restitution for each of the following objects dropped from a height of 2 meters onto a wooden floor.
Construct an equilateral triangle. Then construct one of its altitudes. If the sides each have length 1, how long is the altitude
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