Verify the identity.sin2(-?) + cos2(-?) = 1

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sin2(-?) + cos2(-?) = (-sin ?)2 + (cos ?)2 = sin2? + cos2? = 1

Mathematics

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Solve the problem.Determine the probability that in a class of 30 students, at least two students have the same birthday. Assume that birth rates are constant throughout the year. (Hint: First determine the probability that no two students have the same birthday and then apply the complementation rule.)

A. 0.786 B. 0.746 C. 0.706 D. 0.294

Mathematics

Find the finance charge and total installment cost of the loan. Round to the nearest cent.Amount financed: $165Down payment: $45Cash price: $210Number of payments: 6Amount of payment: $28.59

A. $12.54; $261.54 B. $171.54; $261.54 C. $6.54; $216.54 D. $38.46; $216.54

Mathematics

Decide on a suitable restriction on the domain so that the function is one-to-one and the range is not changed.f(x) = x4  + x2 + 16

A. (-?, 15) B. [0, ?) C. [-16, 16) D. [-16, ?)

Mathematics

Answer the question.Graph the parabola . Now graph . What is the effect of adding 4?

What will be an ideal response?

Mathematics