Rationalize the denominator and simplify.

A.
B. 9 
C. 109
D.


Answer: D

Mathematics

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Without using a calculator, determine the value of the trigonometric function or state that the value is undefined.sec 

A.
B. -2
C. - 
D. - 

Mathematics

Solve the problem. Leave your answer in polar form.z = 10(cos 30° + i sin 30°)w = 5(cos 10° + i sin 10°)Find zw.

A. 50(cos 300° + i sin 300°) B. 50(cos 40° + i sin 40°) C. 15(cos 300° + i sin 300°) D. 15(cos 40° + i sin 40°)

Mathematics

Solve the system of equations by the substitution method.3x - 2y = -28 - 3x4x + 7y = x + 6y + -4

A. {(-3, -5)}
B. {(-3, 5)}
C.
D. {(0, -28)}

Mathematics

Solve the problem.A person's metabolic rate tends to go up after eating a meal and then, after some time has passed, it returns to a resting metabolic rate. This phenomenon is known as the thermic effect of food, and the effect (in kJ/hr) for one individual is F(t) = -10.28 + 175.9te-t/1.3where t is the number of hours that have elapsed since eating a meal. Find the total thermic energy of a meal for the next four hours after a meal by integrating the thermic effect function between  and 

A. 150.1 kJ B. 186.5 kJ C. 200.3 kJ D. 128.4 kJ

Mathematics