Solve the problem.Ariel, a marine biologist, models a population P of crabs, t days after being left to reproduce, with the function
. Assuming that this model continues to be accurate, when will this population become extinct? (Round to the nearest day.)
A. 1512 days
B. 911 days
C. 547 days
D. 707 days
Answer: C
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From the graph of the parabola, determine whether the parabola opens upward or downward, and find the vertex, axis of symmetry, and range of the function. Find the maximum or minimum value of the function and the intervals on which the function is increasing or decreasing.
A. Up, (-1, -1), x = -1, [-1, ?), min -3, dec (-?, -1), inc (-1, ?) B. Up, (-1, -1), x = -1, [-1, ?), min -1, dec (-?, -1], inc [-1, ?) C. Up, (-1, -1), x = -1, [-3, 1], min -3, dec (-?, -1], inc [-1, ?) D. Up, (-1, -1), x = -1, [-1, ?), min -1, inc (-?, -1], dec [-1, ?)
The pH of a solution is given by the formula , where
is the concentration of hydrogen ions in moles per liter in the solution. Use this formula to solve the problem.Lower levels of pH indicate a more acidic solution. If the pH of solution A is 4.2 and the pH of solution B is 6.9, how much more acidic is solution A than solution B?
A. 0.0000630 times as acidic B. 501.2 times as acidic C. -0.0000630 times as acidic D. 0.00200 times as acidic
Multiply and simplify. Assume that all variables represent non-negative numbers.(6 + 5)(3
+ 2)
A. 28 + 12
B. 10 + 18 + 12
C. 40
D. 136 + 27
Multiply. Simplify by combining like terms.2x(7x2y - 2xy)
A. 10x2 B. 14x3y - 4x2y C. 7x2 - 4x D. 14x2 - 2x