Solve the problem.In the formula A(t) = A0ekt, A(t) is the amount of radioactive material remaining from an initial amount A0 at a given time t and k is a negative constant determined by the nature of the material. A certain radioactive isotope has a half-life of approximately 1050 years. How many years would be required for a given amount of this isotope to decay to 25% of that amount?
A. 436 yr
B. 2075 yr
C. 2100 yr
D. 787.5 yr
Answer: C
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Decide whether the statement is true or false. If the statement is false, give an example to show that it is false.A circuit cannot be both a Hamilton circuit and an Euler circuit.
What will be an ideal response?
Find the function with the given derivative whose graph passes through the point P.f'(x) = x2 + 4, P(3, 44)
A. f(x) = 
+ 4x
B. f(x) = x3 + 4x + 5
C. f(x) = 
+ 4x + 23
D. f(x) = x3 + 4x2 + 23
Find the slope and the y-intercept.5x + y = 4
A. m = 5; (0, 4)
B. m = -5; (0, 4)
C. m = 
; 
D. m = - 
; 
Solve the problem.The following table shows the number of resistors, in thousands, produced by Allied Electronics in 3 recent years. 
Fit a quadratic function f(x) = ax2 + bx + c to the data. What is the value of b?
A. 12 B. 10 C. 11 D. 9