6 mins 38 seconds
.8 of 60 secs is 48 seconds so his time is 6 mins and 48 seconds, cutting off 10 seconds gives a new time of 6 mins 38 seconds
For f(x) to be a function, the value of x should not be repeated. That is no x value can be more then once.
So the required table is
And for g(x) , not to be a function, we have to repeat x value that is
Answer:
2.9 years
Step-by-step explanation:
Given that :
Half-life t1/2 = 9 years
Initial mass = I = 70 grams
A = final mass = 56 grams
t = time taken to reach final amount
Using the exponential half life relation :
A = I(0.5)^t/t1/2
56 = 70(0.5)^t/9
56/70 = 0.5^t/9
0.8 = 0.5^t/9
Log 0.8 = log 0.5^t/9
−0.096910 = −0.301029 * t/9
t/9 = 0.096910 / 0.301029
t/9 = 0.3219291
t = 0.3219291 * 9
t = 2.8973619
t = 2.9 years
Answer:
Ramon's mistake was that he used whole numbers in comparison to decimals, which is not an accurate way to solve. Think about it this way, 0.1 is the tens place, 0.01 is the hundreds place. Which would be greater 100% of the time? The hundreds place, in decimal terms, the hundredths.
0.09 is greater than 0.1
<span>1 hundreds + 5 tens + 12 ones
= 100 + 50 + 12
= 162</span>
