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A 16 foot plank is leaning on the side of a wall and is being pulled up the wall at a rate of 1/2 ft/sec by a worker on top of the wall. How fast is the end of the plank sliding along the ground when it is 8 feet from the wall?
Describe two real-life examples where the order of operations and basic math principles are used either at home or on the job.
The two groups are then surveyed about the number of childhood accidents to determine if the former group of pilots is more accident prone."
1. Consider R3with two orthonormal bases: the canonical basis e=(e1,e2,e3) and the basis f=(f1,f2,f3), where f1=(1,1,1)/(3^(1/2)) ,f2=(1,-2,1)/(6^(1/2)) ,f3=(1,0,-1)/(2^(1/2))
An initial population of 895 quail increases at an annual rate of 7%. Write an exponential function to model the quail population.
If you have 609 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
Reflect on the content that you completed this week. Provide one (1) example of information you learned from your completed work that you believe is applicable to a real-world situation. Justify your response.Content: Finding the odds of an event.
A rectangular piece of paper with perimeter 100cm is to be rolled to form a cylinder. Find the dimensions of the paper that will produce a tube with maximum volume.
How many ways are there to deal hands of seven cards to each of five players from a standard deck of 52 cards? A bagel show has onion, poppy seed, egg, salty, pumpernickel, sesame seed, raisin, and plain bagels. How many ways are there to choose:
how many ways are there to assign the courses in the spring semester such that no professor teacher the same pair of courses in the spring as in the fall? if all the assignments are equally likely
Write a program in Matlab that computes the roo of the quadratic equation by switching between equation (1) x= (-b +- sqrt(b^2 -4ac))/2a and equation (2) x= 2c/ (-b +- sqrt(b^2 -4ac)) (How did you choose the criteria for switching?)
What is the radius and center of the circle r = -8sinθ? Convert rcosθ = 4 to rectangular coordinates. Convert 2xy = x2 + y2 to polar coordinates
Directions: Please show all of your work for each problem. If applicable, you may find Microsoft Word's equation editor helpful in creating mathematical expressions in Word. There is a tutorial on using this equation editor in Module 1 Lecture N..
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