Part (i)
Plug in theta = pi/3 to get
h(theta) = sin(3theta)
h(pi/3) = sin(3*pi/3)
h(pi/3) = sin(pi)
h(pi/3) = 0 ... use a calculator or the unit circle
<h3>Answer: 0</h3>
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Part (ii)
Plug in h = pi/2
h(theta) = sin(3theta)
h(pi/2) = sin(3pi/2)
h(pi/2) = -1
<h3>Answer: -1</h3>
F(x) = ( x + 3 ) ^2 + 78 is your answer.
The probability in faction form would be 25/80 simplified would be 5/16 chance of spinning a 3. The decimal form would be a 0.3125 chance in spinning a 3
Answer:
128 times
Step-by-step explanation:
Total cups = volume per meal × no. of meals
C = V × n
Divide each side by V
n = C/V = 48/(⅜)
Invert the fraction and multiply
n = 48 × ⁸/₃
Cancel 3s
n = 16 × 8
Multiply
n = 128
Ryan can eat pancakes 128 times from his giant bottle without running out of syrup.