Solve the initial value problem. = -  cos ?, r(0) = -5

A. r = sin ? - 5
B. r = -  sin ? - 5
C. r = cos ? - 6
D. r = -sin ? - 5


Answer: D

Mathematics

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Solve the logarithmic equation.log (3 + x) - log (x - 5) = log 5

A. ?
B. {7}
C.
D. {-7}

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Solve the problem.A steel company produces two types of machine dies, part A and part B and is bound by the following constraints:? Part A requires 1 hour of casting time and 10 hours of firing time. ? Part B requires 4 hours of casting time and 3 hours of firing time.? The maximum number of hours per week available for casting and firing are 100 and 70, respectively.? The cost to the company is $0.75 per part A and $3.00 per part B. Total weekly costs cannot exceed $45.00.Let x = the number of part A produced in a week and  number of part B produced in a week. Write a system of three inequalities that describes these constraints.

A.

B.

C.

D.

Mathematics

Simplify the expression using the product and quotient properties of square roots. Assume that any variables represent positive real numbers.

A. x2
B. x
C. x
D. x2

Mathematics

Write the number in scientific notation.411,270

A. 4.1127 x 101 B. 4.1127 x 105 C. 4.1127 x 10-5 D. 4.1127 x 106

Mathematics