Estimate the product by rounding to a single nonzero digit, then find the actual product.49 × 37

A. Estimate: 90; Actual: 1823
B. Estimate: 2000; Actual: 1813
C. Estimate: 1810; Actual: 1813
D. Estimate: 1813; Actual: 2401


Answer: B

Mathematics

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Provide an appropriate response.Explain why the following five statements ask for the same information.(a) Find the roots of f(x) = 2x3 - 4x - 5.(b) Find the x-coordinate of the points where the curve y = 2x3 crosses the line (c) Find all the values of x for which 2x3 - 4x = 5.(d) Find the x-coordinates of the points where the cubic curve y = 2x3 - 4x crosses the line (e) Solve the equation 2x3 - 4x - 5 = 0.

What will be an ideal response?

Mathematics

Use Cramer's rule to solve the linear system.

A. {(6, 8, 6)} B. {(7, 6, 8)} C. {(7, -6, -8)} D. {(8, 4, 8)}

Mathematics

Find all the complex roots. Leave your answers in polar form with the argument in degrees.The complex fourth roots of -16

A. 2(cos 45° + i sin 45°), 2(cos 135° + i sin 135°), 2(cos 225° + i sin 225°), 16(cos 315° + i sin 315°)
B.

16(cos 45° + i sin 45°), 16(cos 135° + i sin 135°), 16(cos 225° + i sin 225°), 16(cos 315° + i sin 315°)

C. 2(cos 90° + i sin 90°), 2(cos 180° + i sin 180°), 2(cos 270° + i sin 270°), 2(cos 360° + i sin 360°)
D. (cos 45° + i sin 45°), (cos 135° + i sin 135°), (cos 225° + i sin 225°), (cos 315° + i sin 315°)

Mathematics

Provide an appropriate response.Finish the statement with a correct response. To divide two fractions one needs to:

A. Use the reciprocal of the second fraction (divisor), add the numerators and multiply the denominators. B. Use the reciprocal of the second fraction (divisor) and multiply. C. Add the numerators and multiply the denominators. D. Add the numerators and factor the denominators.

Mathematics