Answer:
a. C(t)=205*(1-0.08)^t
b. t=log_0.92(C(t)/205)=(log_10(C(t)/205))/(log_10(0.92))
c. 16.92 hours
Step-by-step explanation:
Let's say that C(t) is the expression of the amount of caffeine remaining in Darrin's system after t time, hours in this particular case.
a. Then for the first hour the expression would be:
C(t)=205*(1-0.08)
For the second hour:
C(t)=205*(1-0.08)-205*(1-0.08)*(1-0.08)
For the third
C(t)=205*(1-0.08)-205*(1-0.08)*(1-0.08)-205*(1-0.08)*(1-0.08)*(1-0.08)
And so on, for that reason the best way to fit the expression is:
C(t)=205*(1-0.08)^t
2. To find the correct expression for time, we must solve for t the equation recently written above:
Considering that log_b(a)=c and log_b(a)=log_c(a)/log_c(b), then:
t=log_0.92(C(t)/205)
t= (log_10(C(t)/205))/(log_10(0.92))
3. Finally we replace the given value of C(t) into the equation for t:
t= (log_10(50/205))/(log_10(0.92))=16.92
t= 16.92 hours
Answer:
x intercept = (7/3, 0)
y intercept = (0, -7/6)
slope = 1/2
Step-by-step explanation:
Answer: 3 acute angles
and 2 acute angles, 1 obtuse angle
and 2 acute angles, 1 right angle
Step-by-step explanation:
the key is just to imagine it
also you have to know that right angle is 90° acute is less than 90° and obtuse is more than 90°
Answer:
The first option is the correct answer.
Step-by-step explanation:
A PTIN is required to prepare or sign most tax returns.
The PTIN or full form Preparer Tax Identification Number (PTIN) is an identification number, used by the pre parers to claim for refund or compensation during tax return filing.
So, a person who has to claim refund must have his or her own PTIN and each tax return pre parer may only obtain one PTIN.
Answer:
2/6 of the sheet.
Step-by-step explanation:
but u might need measurements, those are not given.