Answer:
∴35.97 mg caffeine would be left in the system after 5 hours.
Step-by-step explanation:
Given that,
A cup of coffee has approximately 310 mg of caffeine.
Caffeine decrease at a rate 35% per hour.
Exponential Function:
y(t)= Amount caffeine after t hours
= Initial amount of caffeine
r= rate of decrease
t = Time in hour.
Here y(t)=?, = 310 mg, r=35%=0.35, t= 5 hours
=35.97 mg
∴35.97 mg caffeine would be left in the system after 5 hours.
Answer:
The current that produces maximum power is 3A
Step-by-step explanation:
Given
Required [Missing from the question]
The current that produces maximum power
First, we represent the function in standard form
Open bracket
The maximum value of c is:
Where:
By comparison:
So, we have:
The answer is b uh it’s 4 in the morning I hope this helped and I hope you can still answer the question
Answer:
70° and 20°
Step-by-step explanation:
let x be the measure of one angle then x + 50 is the measure of the other angle, thus
x + 50 + x = 90
2x + 50 = 90 ( subtract 50 from both sides )
2x = 40 ( divide both sides by 2 )
x = 20
The smallest angle is 20° and the other angle is 20 + 50 = 70°
Answer:
We need to find the value of b to make 8b - 27 be equal to 5, so:
8b - 27 = 5
We solve the equation:
8b = 5 + 27
8b = 32
We divide both sides by 8:
b = 32/8 = 4
So now, we know that b=4, and we can verify:
8*4 - 27 = 5
32 - 27 = 5 TRUE
