Step-by-step explanation:
Just use a calculator it helps, when I use the calculator it helps me alot
Using exponential functions, it is found that:
a) Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.
b) The patient could have ingest 231 milligrams of caffeine.
A decaying <em>exponential function</em> is modeled by:

In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem:
- Caffeine metabolize at a rate of 13% per hour, hence
.
Then:



Item a:
The coffee cup contains 150 milligrams of caffeine, hence
.
At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).



Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.
Item b:
This A(0), considering <u>A(11) = 50</u>, hence:



The patient could have ingest 231 milligrams of caffeine.
A similar problem is given at brainly.com/question/25537936
Answer:
y =
x
Step-by-step explanation:
given y varies directly as x, the the equation relating them is
y = kx ← k is the constant of variation
to find k use the given condition y = 10 when x = 6, hence
k =
=
= 
y =
x ← is the equation
Answer:
Hello your question is incomplete attached below is the complete question
answer : 1596 ± 2.861
------ ( A )
Step-by-step explanation:
I will use excel function to resolve this question
<u>Determine the 99% confidence of interval for the difference in mean number of steps by all people</u>
∝ = 0.01
critical value ( t ) = 2.861 ( = TINV ( 0.01, 19 )
Given that :
S1 = 1580
S2 = 2350
n1 = 20
n2 = 20
Difference in mean = x1 - x2 = 1596
Margin of Error = t *
∴ 99% confidence of interval
= 1596 ± 2.861
------
Answer:
297.3
Step-by-step explanation:
30% of 429 is 128.7
429 which is the original price - 128.7 which is the price off = 297.3