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After the consumption of an alcoholic beverage, the concentration of alcohol in the bloodstream (blood alcohol concentration, or BAC) surges as the alcohol is absorbed, followed by a gradual decline as the alcohol is metabolized. The function
C(t)=1.9te-2.3t
Models the BAC, measured in mg/mL, in a test patient's bloodstream t hours after rapidly consuming 15 mL of alcohol. What is the maximum BAC during the first three hours? (Round to three decimal places)
When does it occur? (Round to three decimal places)
Determine the number of moles of atoms in a 22.89 g sample of a metal whose molar mass (MM) is 58.69 g.
What is the slope, or rate of change, of this equation?
Profit for each big shelf is $85 and for each medium shelf is $75. What is the constraint on money to invest?
Find the error in the linear approximation to the value of f(3 + 0.06) that we found in part b). Find the percentage that results from approximation f(3 + 0.06) by the value in part b).
Find the integral. Complete the square if necessary. ∫(2x-3)/sqrrt(4x-x^2)dx. I am mainly unsure about what to do with the numeratir, (2x-3) Thanks.
Andy begins walking north from an intersection at (v+3) ft/s. After 10 seconds, he is 100 ft north of the intersection. What is the value of v?
Constraints, Decision variables, Objective functions
A rectangular field is five times as long as it is wide. If the perimeter of the field is 288 yards, what are the field's dimensions?
Show that radG ≤ diamG ≤ 2radG for every graph G.Prove the weakening of Theorem 1.3.4 obtained by replacing average with minimum degree. Deduce that | G | ≥ n0(d/2, g) for every graph G as given in the theorem.
a study at a semiconductor manufacturing plant analyzed whether the presece of particles on the die affected the
A tank holds liquid waste comprised mostly opf water. It is vented to the atmosphere. the tank has a diameter of 50 feet and a total depth of 30 feet, it is only half full. At a poin t five feet above the bottom of the tank, what is the approximat..
Jackie, a 25 year old client, want to retire by age 65 with $2,000,000. How much would she have to invest annually, assuming a 6% rate of return?
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