(a) In functional notation, you are asked for C(600).
For this, put 600 where t is in the functional notation C(t).
(b) The value multiplying 8 is 0.5 when the exponent of 0.5 is 1. That is
... t/5730 = 1
Multiplying by 5730 gives
... t = 5730
It will take 5730 years for half the Carbon 14 to be gone.
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Or, you can recognize a fraction is 1 when its numerator is the same as its denominator. That is t/5730 = 5730/5730 = 1 when t=5730.
8 cups = 2 quarts. SO 8 cups are bigger
angle 2 is also 65º because they are corresponding angles. Using the vertical angles theorem, you can also say that angles 3 and 7 are 65º. so the answer to your question would be angle 3
X: earn per hour during the week
y: earn per hour during the weekend
13x + 14y = 250.90
15x + 8y = 204.70
Multiply the first equation by 4 and the second equation by 7
52x + 56y = 1003.6
105x + 56y = 1432.90
Subtract the first equation from the second:
53x = 429.30
x = 429.30/ 53
x = 8.10
Solve any of the equation for y:
15x + 8y = 204.70
y = [204.70 - 15(8.10)]/8 = 10.40
y - x = 10.40 -8.10 = 2.30
Answer: she earns $2.30 per hour more during the weekend than during the week.
