a) table of values, star = t = 0, and B = 1
time (t) number of bacteria (B)
0 1
1 2
2 4
3 8
4 16
5 32
6 64
=> B = 2^t
t = 24 hours => B = 2^24 = 16,777,216
b) The data shows that every hour the number of bacteria is duplicated, which resulted in the model B = 2^t which is an exponential function, explainging the exponential growth.
c) t = 0 => starting moment, at that moment the number of bacteria is alway 1, this a simple way of seing intuitively that no matter the base (which in this case was 2) the number of bacteria is the starting number (1)
d) I already wrote the rule: B = 2^t
e) if you start with 100 bacteria the model will be
After 1 hour you will have 100*2. after two hours 100*2*2, after three hours 100*2*2*2, after four hours 100*2*2*2*2, then after t hours B = 100 (2)^t
As you see the startiing value becomes a coefficient of the exponential function.
B = 100 (2^t)
hope this helps
Answer:
Q1.
a. three hundred sixty-four thousand eight hundred twenty-five
b. one hundred forty-three
c. nine hundred four thousand three hundred six
d. seven million twenty
e. fifty-six million thirty thousand one hundred twenty-three
f. six thousand twenty-four
g. two hundred four
h. six hundred seventy-four thousand one
i. nine hundred sixty-two thousand three hundred forty-two
Q2.
a. 5000000
b. 1000004
c. 60000203
d. 1311
e. 286
f. 34503271
g. 844536
h. 3748
i. 125064
j. 4605231
Answer:
The answer is C
Step-by-step explanation:
(2 + 3i) + (6 - 4i) = 8 - i
Answer:
The dietitian should conclude that there is no significant evidence to support the claim that the number of hours teenagers exercise per week has increased.
Step-by-step explanation:
H0 : μ = 6.5
H1 : μ > 6.5
The test statistic value = 3.30
The critical value > test statistic
The Decison region :
If; test statistic > critical value (Fail to reject H0)
If; test statistic < Critical value (Reject H0)
Given that the test statistic is > critical value ; then we fail to reject the null
Hence, the dietitian should conclude that there is no significant evidence to support the claim that the number of hours teenagers exercise per week has increased.
Answer:
1600
Step-by-step explanation:
