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If a rock is thrown upward on the planet Mercury with a velocity of 5 m/s, its height in meters t seconds later is given by y = 5t - 1.86t2. (Round your answers to five decimal places.)
Find the average velocity over the given time intervals
A ball thrown vertically upward at time t=0(s) with initial velocity 80 ft/s and initial height 96ft and height function of y(t) = -16t^2 + 80t + 96. What is the max height attained by the ball?
A 140 in. piece of wire is divided into two pieces and each piece is bent into a square. How should this be done in order to minimize the sum of the areas of the two squares?
Consider the set of points (x, y, z) defined by the set of equations below: Find a 2 x 3 system of linear equations having this set of points as its solution set.
How can inequalties and equations help a business maximize cot and profit?
Business and finance. In Bucks County, the property tax rate is $25.32 per $1000 of assessed value. If a house and property have a value of $128,000, find the tax the owner will have to pay.
what proportion of the families spends $85 or more per week on food?
Find the velocity, speed and acceleration of the vector-valued function: Vector r = cost i + sint j - 16t^2 k at t=pi/4
John has 15 more chocolate bars than Rick. Cathy has 9 times as many chocolate bars as John. If Rick has r chocolate bars, which equation below represents how many chocolate bars Cathy has, c?
The projected number of Americans age 65 and older for the years 1995-2030 can be modeled by the equation N(x)= 0.03x^2+0.315x+34.23 million people, where x is the number of years after 2000.
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:
Can you think of situations in the business world or other real life situations where you would need to calculate or estimate probabilities?
Without graphing, can you use the slope to determine whether there is a solution for a system of two linear equations in two unknowns? How?
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