4) A typical cup of coffee contains 100 mg of caffeine. Every hour, approximately 16% of the amount of caffeine in the body is metabolized and eliminated. Let C represent the amount of caffeine in the body in mg and let t represent the number of hours since a typical cup of coffee was consumed. (a) Write an equation where C is a function of t for a typical cup of coffee. (b) How much caffeine is left in the body after 3 hours? (c) Suppose an individual cannot sleep unless she has less than 50 mg of caffeine in her blood. How many hours after drinking coffee must she wat until she is able to fall asleep?

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A: Given:   To determine: simplified expression

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Q: 16) 28 20

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A: Given, sinB= 10sin48°/8 By using trigonometric tables,  sin48°= 0.7431448255

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A: 1.sin 30°+2cos 90°=12+20=12+0=12 2.tan 90°-cos 60°+2sin 30°=∞-12+212=∞-12+1=∞ 3.csc 30°+3cot 60°-sin…

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A: To find the minimum distance.

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A: we have to complete the table.

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A:

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A: Here we have to change it into polar coordinates.

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Q: What is the measure in degrees of the angle A = 7TT/6? a) 150° b) 210° c) 100° d) 120°

A: As we know that; The angle which in radian can be converted into the degree by formula, θd=180°πθr

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Q: Rules: i) an = Va , where Va is called a radical and means the n" root of a. m ii) a" = or a" =

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Q: vertical

A: Please refer to the image below

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A: The following three quadratic functions have all been factored, and their graphs are shown…

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Q: 1. sin (5x + ) sin ( x + T /2) %3D 2. tan (3x – T/2 ) = cot 2x 3. COs (x + п /2) sin ( T /2 – 2x )…

A: Given that three trigonometry equation  To find fundamental solution of the question

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A: Divide the equation

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Q: Solve each triangle- 5) B 41° 28 m 64

A: Since we are given with the multiple number of question and answered according to the guideline

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Q: Convert the given polar equation to an equation in rectangular form. r=7/5cos(theta)-2sin(theta

A: Recall: r2=x2+y2, x=r cosθy=r sinθ