Provide an appropriate response.A movable part on a machine swings through an angle of 55° with an arc length of 8 in. What is the length of the part? Round to hundredths.

Fill in the blank(s) with the appropriate word(s).


8.33 in.

Mathematics

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Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size. Round your results to four decimal places.y' = 1 + , y(1) = 0, h = 0.5

A. y1 = 0.5000, y2 = 1.1667, y3 = 1.9583 B. y1 = 1.0000, y2 = 2.3333, y3 = 7.8333 C. y1 = 1.0000, y2 = 1.7500, y3 = 3.9167 D. y1 = 0.7500, y2 = 1.4000, y3 = 2.3500

Mathematics

Choose the equation that matches the graph.

A. -6x2 = y B. y2 = -6x C. x2 = -6y D. x2 = 6y

Mathematics

Write the decimal using the indicated form.0.100498; expanded exponential form

A. 0 ? 100 + 1 ? 101 + 0 ? 102 + 0 ? 103 + 4 ? 104 + 9 ? 105 + 8 ? 106 B. 0 ? 100 + 1 ? 10-1 + 0 ? 10-2 + 0 ? 10-3 + 4 ? 10-4 + 9 ? 10-5 + 8 ? 10-6 C. 0 ? 101 + 1 ? 100 + 0 ? 10-1 + 0 ? 10-2 + 4 ? 10-3 + 9 ? 10-4 + 8 ? 10-5 D. 0 ? 10-1 + 1 ? 10-2 + 0 ? 10-3 + 0 ? 10-4 + 4 ? 10-5 + 9 ? 10-6 + 8 ? 10-7

Mathematics

Solve.How long will it take for prices in the economy to double at a 5% annual inflation rate? Use the exponential growth model  (Round to the nearest year.)

A. 12 yr B. 23 yr C. 14 yr D. 17 yr

Mathematics