The amount of caffeine in the body of a healthy adult after drinking espresso decreases exponentially, with a half-life of appro
ximately 6 hours. That is, every 6 hours, the amount of caffeine in the body decreases by 50%. Charlotte wants to go to sleep at 11 pm and does not want more than 20 milligrams (mg) of caffeine in her system at that time. What is the latest time Charlotte can drink a 2-ounce shot of espresso that contains 80 mg of caffeine?
A. 5 am
B. 11 am
C. 11:30 am
D. 12 pm
A. 5 am
B. 11 am
C. 11:30 am
D. 12 pm
2 answers:
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So hmm is a geometric sequence, meaning, the next term is found by multiplying it by "something", namely the "common ratio"
now, if the next term is the product of the common ratio and the previous term, that means, if we divide the previous term by the next term, the quotient will then be the "common ratio", let's do that then
let's divide the 2nd term by the 1st term then
now, if the next term is the product of the common ratio and the previous term, that means, if we divide the previous term by the next term, the quotient will then be the "common ratio", let's do that then
let's divide the 2nd term by the 1st term then
Answer:
x-intercepts: (1,0), (2,0), (5,0)
y-intercepts: (0,-10)
Step-by-step explanation:
One factor of the function is
Factor the polynomial in the following way:
Now factor the quadratic in brackets:
Hence,
The x-intercepts are points at which y = 0, so
The y-intercepts are points at which x = 0, so
Answer:
And we can use the normal standard table and the complement rule and we got:
And the best answer would be:
C 0.07
Step-by-step explanation:
Let X the random variable who represent the amount of soda filled in large bottles and we know this:
And we want to find this probability:
And for this case we can use the z score formula given by:
And replacing we got:
And we can use the normal standard table and the complement rule and we got:
And the best answer would be:
C 0.07