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Use the formula R=6e^(12.77x), where x is the blood alcohol concentration and R, given as a percent, is the risk of having a car accident.
What blood alcohol concentration corresponds to a 50% risk of a car accident?
Write the equation of the given line in standard form.
Determine the circumference of a circle circumscribed about a square, an equilateral triangle, a regular hexagon, a right triangle
The profit of each bookcase is 40$ and each desk is 75$. How many of each product should be made each month in order to maximize profit.
Perform the operation and make the result in standard form
Find the Upper and Lower Darboux Sums given F(x) = 5 - 3x on [0,2] and partition P = {tsub0 = 0, tsub1 = 2/n, tsub2 = 4/n, and tsub3 = 2}
By the Mean Value Theorem, we know there exists a c in the open interval (-20) such that f(c) is equal to this mean slope. Find the value of c in the interval which works.
The average SAT math scores M of potential college students can be approximated by M = 1.4t + 518, where t is the number of years since 2004.
A treee stands on a hillside of slope 28 degrees from the horizontal. From a point 75 feet down the hill, the angle of elevation to the top of the tree is 45 degrees. Find the height of the tree.
a mass of 35g stretches a spring 8.4cm. if the distance that a spring is stretched is directly proportionally to the attached mass, how many centimeters will the spring be stretched by a mass of 50g.
Let f(x) = x^3, and compute the Riemann sum of f over the interval [6, 7], choosing the representative points to be the midpoints of the subintervals and using the following number of subintervals (n). (Round your answers to two decimal places.)
Suppose that 5000 sales invoices are separated into four strata. Stratum 1 contains 50 invoices, stratum2 contains 500 invoices, stratum 3 contains 1000 invoices and stratum 4 contains 3450 invoices. A sample of 500 sales invoices is needed. What ..
Construct an explicit deformation retraction of the torus with one point deleted onto a graph consisting of two circles intersecting in a point, namely, longitude and meridian circles of the torus.
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