At the moment a certain medicine. Is injected, it's concentration in the blood stream is 120 mg/L. From that moment forward, the medicine concentration drop by 30% each hour. Write a function that gives the medicines concentration in milligrams Per liter, C(t),t hours after the medicine was injected

Step-by-step explanation:

From that moment forward, the medicine concentration drop by 30% each hour. It means that the rate at which the medicine concentration is dropping is exponential. We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^t

Where

P represents the initial concentration.

A represents the final concentration after t hours.

t represents the number of hours.

r represents the rate

From the information given

P = 120 mg/L

r = 30% = 30/100 = 0.3

The expression becomes

C(t) = 120(1 - 0.3)^t

C(t) = 120(0.7)^t

answer: sensy

step-by-step explanation:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.