Solve the problem. Express the answer in scientific notation to two decimals unless requested otherwise.Assume that the volume of the earth is 5 × 1014 cubic meters and the volume of a bacterium is 2.5 × 10-16 cubic meters. If the earth could be filled with bacteria, how many would it contain? (Round to one decimal place.)
A. 5.0 × 10-31 bacteria
B. 2.0 × 1030 bacteria
C. 5.0 × 1031 bacteria
D. 2.0 × 10-30 bacteria
Answer: B
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Find the exact function value.sin-1
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Solve the problem.An equal number of shaded and nonshaded discs are lined up in a row with all the shaded discs together and all the nonshaded discs together. Switching just 2 adjacent discs at a time, find the minimum number of moves required to arrange the discs so that shaded and nonshaded discs alternate. Use the pattern below to solve. If the total number of discs in the row is 6, the number of moves needed is
. Use inductive reasoning to find a formula for the number of moves needed in the row containing 2n discs.
A. 3; n(n-1)/2 B. 8; 3n + 1 C. 1; [n(n-1)/2] - 2 D. 6; n(n +1)/2
Multiply the polynomials using the special product formulas. Express the answer as a single polynomial in standard form.(x + 5y)(x - 5y)
A. x2 - 25y2 B. x2 + 10xy - 25y2 C. x2 - 10y2 D. x2 - 10xy - 25y2
Use transformations of the graph of y = x4 or y = x5 to graph the function.f(x) = x5
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