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Consider the shape pictured below. Prove that there exists a line parallel to the y-axis that divides the area of the shape exactly in half that is, such that half of the area is on the left side of the line.
the peachtree airport in atlanta serves light aircraft. it has a single runway and one air traffic controller to land
Rise Against Corporation is comparing two different capital structures: an all-equity plan (Plan I) and a levered plan (Plan II). Under Plan I, the company would have 195,000 shares of stock outstanding.
A cup of coffee at 181 degrees is poured into a mug and left in a room at 66 degrees. After 6 minutes, the coffee is 139 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) dT/dt=k(T-66).
Determine the slope of the tangent to each of the following curves:
Model each situation with a linear function and graph. Is it reasonable to include negative numbers in the range?
Austin collected 30 9/10 kilograms of glass, exactly 2/3 of the glass he collected was blue. What was the total amount in kilograms of blue glass?
Last week, Tom drove 284 miles. This week, he drove miles. Using , write an expression for the total number of miles he drove in the two weeks.
Determine whether the mean value Theorem applies to the following functions on the given interval [a,b] and if, so find or approximate the point(s) that are guaranteed to exist by the mean value theorem.
Thor has dropped his hammer, Mjolnir, into a 1ft x 1ft x 3ft container full of distilled water. If Mjonir has a uniform density of 7.8 g/cm3 and the water level was 1.5 inches lower after Thor summoned Mjolnir back to him.
1.what is the quantifiable number of americans who have stopped flying after the gruesome terrorist attacks in 2001
find the equation for those products and CPI, & use those equations to predict the average cost of each product for the year 2020.
the manager of the cheesecake factory in boston reports the following numbers of customers for nine randomly selected
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