The amount A, in grams, of a certain isotope of uranium remaining after t minutes of decay is given by
.
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A: Make a graph of A versus t over one hour.B: How much of the isotope is present after 13 minutes?C: What is the half-life of this isotope? That is, how long will it take for half of the substance to decay?
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?Round your answer to two decimal places if necessary.
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What will be an ideal response?
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A:
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B: 31.76 grams
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C: 9.5 minutes
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Mathematics
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Evaluate the integral.
A. sin-1
+ C
B. (2x + 2) ln + C
C. tan-1
+ C
D. 3 tan-1 + C
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Subtract.
A. 100 B. 50 C. 130 D. 40
Mathematics
A plane in three dimensional space can be written as ax + by + cz = d. We can find the possible intersections of planes in this form by writing them as systems of linear equations and using reduction to solve them. If d = 0 in each equation, then we have a homogeneous system with either a unique solution or infinitely many solutions.Determine whether the intersection of the planes: has a unique solution or infinitely many solutions; then solve the system.
What will be an ideal response?
Mathematics
Add or subtract as indicated.- +
A.
B.
C.
D.
Mathematics