Solve the problem.A sample of 200 grams of radioactive substance decays according to the function
where t is the time in years. How much of the substance will be left in the sample after 40 years? Round your answer to the nearest whole gram.
A. 0 grams
B. 1 gram
C. 2465 grams
D. 58 grams
Answer: D
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Graph the function f(x) over the given interval. Partition the interval into 4 subintervals of equal length. Then add to your sketch the rectangles associated with the Riemann sum , using the indicated point in the kth subinterval for ck.f(x) = -2x2, [0, 4], left-hand endpoint
A.
B.
C.
D.
Determine whether the equation is an identity, a conditional equation, or an inconsistent equation. -
=
A. Identity B. Conditional equation C. Inconsistent equation
Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = - 5
A.
B.
C.
D.
Find the slope and the y-intercept from the equation of the line. Sketch a graph of the equation.x + y = -6
A. m = -1; y-intercept = -6
B. m = -1; y-intercept = 6
C. m = 1; y-intercept = 6
D. m = 1; y-intercept = -6