Use a calculator to approximate the square root. Round to three decimal places.

A. 1.142
B. 1.127
C. 1.114
D. 1.000


Answer: B

Mathematics

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Solve the problem.Given an algae population in a certain pond, x (in millions), f(x) models the frog population in the pond (in thousands). (i) Use the graph of f to estimate the number of algae in the pond when there are 29 thousand frogs in the pond; (ii) Estimate f(x) at 2, 3, 5, 6 and 7; (iii) Use regression and the points you estimated to find a quartic polynomial function f that models the data points; (iv) Use f(x) to solve part (i) either graphically or numerically. 

A. (i) about 1 million
(ii)   (approximately; answers may vary);
(iii) f(x) ? -0.18x4 + 3.27x3 + 20.02x2 + 55.93x - 46.00;
(iv) x ? 1.1 million algae when f(x) = 29 thousand frogs
B. (i) about 7 million
(ii)   (approximately; answers may vary);
(iii) f(x) ? -0.18x4 + 3.27x3 - 20.02x2 + 51.93x - 44.00;
(iv) x ? 7.3 million algae when f(x) = 29 thousand frogs
C. (i) about 5 million
(ii)   (approximately; answers may vary);
(iii) f(x) ? -0.18x4 + 3.77x3 - 20.02x2 + 41.93x - 44.00;
(iv) x ? 5.1 million algae when f(x) = 29 thousand frogs
D. (i) about 1 million
(ii)   
(iii) f(x) ? 0.16x4 + 3.77x3 + 20.02x2 + 51.93x - 44.00;
(iv) x ? 1.5 million algae when f(x) = 29 thousand frogs

Mathematics

Solve the problem.If the impedance of a resistor in a current is Z1 = (6 + 9i) ohms and the impedance of a second resistor is Z2 = (3 - 3i) ohms, find the total impedance of the two resistors when they are placed in a series (the sum of the two impedances).??Series Circuit

A. (-3 + 12i) ohms B. (9 + 6i) ohms C. (9 - 6i) ohms D. (-9 - 6i) ohms

Mathematics

Determine whether the sequence is arithmetic.2, 4, 6, 10, 12, ...

A. Arithmetic B. Not arithmetic

Mathematics

State whether the function is a probability mass function or not.f = 

A. No B. Yes

Mathematics