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A factory begins emitting particulate matter into the atmosphere at 8 am each workday, with the emissions continuing until 4 pm. The level of pollutants, P(t), measured by a monitoring station ½ mile away is approximated as follows, where t represents the number of hours since 8 am:
75t + 100 if 0 is less than or equal to t and less than or equal to 4
400 if 4 is less than t or less than 8
P(t) = -100t + 1200 if 8 is less than or equal to t or less than or equal to 10
-50/7 t + 1900/7 if 10 less than t or less than 24
Find the level of pollution at
(a) 9am (b) 11am
(c) 5pm (d) 7pm
(e) midnight (f) Graph y = P(t)
(g) From the graph in part (f), at what time(s) is the pollution level highest? Lowest?
A store mixes red fescue worth $12 per pound and chewing's fescue worth $16 per pound. The mixture is to sell for $15 per pound. Find how much of each should be used to make a 444 pound mixture.
Select a quadratic equation and solve it using the completing the square method. Show your work in full details.
(If the expression is an exponential form, write it in radical form. If it is in radical form, write it in exponential form. Assume all variables represent positive real numbers)-m √(?2y?^5 )
The sum of the measure of an angle and five times its complement is 300 . What is the measure of the angle?
Find the domain of the function
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What is the discriminant? When do you use quadratic formula to solve a quadratic equation? What square root property is essential to solve any radical equation involving square root?
Maximizing the profit.
Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case.
Logarithmic expression
Find the maximize size
Solve the matrix equation by finding A to power
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