All categories

2 years ago

An adult takes 400mg of ibuprofen. Each hour, the amount of ibuprofen in the person's

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

8 0

Answer:

4.048 hours

Step-by-step explanation:

A = Pe^(rt)

After 1 hour, the amount decreases by 29% (A = 0.71P), so r is:

0.71P = Pe^(r×1)

0.71 = e^r

r = ln(0.71)

r = -0.342

P = 400. When A = 100, the time t is:

100 = 400e^(-0.342 t)

0.25 = e^(-0.342 t)

ln(0.25) = -0.342 t

t = -ln(0.25) / 0.342

t ≈ 4.048

Approximately 4.048 hours have passed.

You might be interested in

Find the number of positive three-digit even integers whose digits are among 9, 8, 7, 5, 3, and 1.

sp2606 [1]

Answer:

5,3,1

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

You usually buy a 5.4 ounce bottle of lotion. There is a new bottle that says it gives you 20% more free. Write an equation to b

natka813 [3]

20% is 1/5 more so it is 1 1/5 times the size of the smaller one. 1 1/5 is 1.2 as a decimal (also 120% divided by 100).

Let's take the smaller bottle to be y.

x=1.2y
x=1.2*5.4=6.48 ounces.

5 0

3 years ago

Read 2 more answers

What is the value of the expression <br> 3<br> 6 - (- 11.5)?<br> 4

Digiron [165]

Answer: 31 hope this helped

Step-by-step explanation: I'm assuming your problem looks like this: 4+5*6-3 =? To solve this problem you need to use the order of operations. PEMDAS which stands for Parentheses, exponents, multiply and divide, and lastly add and subtract. You must multiply and divide before you add and subtract so you must do 5*6 first. You now get 4+30-3. Now all you have left is addition and subtraction so you now just go from right to left and do one at a time. So 4+30 = 34 , 34-3=31. Therefore your answer should be 31. Hope that helped!

8 0

2 years ago

True or False?

almond37 [142]

#1

That is false..one could have side lengths of 9 and 1, and the other could have side lengths of 3. Both the areas would be 9, but the figures would not be congruent.

#2

That is true, they must both have the same side length to have the same perimeter, therefore they will also have the same area.

8 0

3 years ago

You want to calculate the value of your car each year when it depreciates by 15%. What does the term y mean in the exponential f

insens350 [35]

Answer:

Value of the car after x years

Step-by-step explanation:

Exponential functions are generally expressed in the form: $y=a(b)^x$ and since this function is decreasing, meaning it has an exponential decay, it can be expressed as: $y=a(1-r)^x$ where r=rate of decay.

In this case the a represents the initial value or y-intercept, since when x=0, (1-r)^0 = 1, so we just have y=a(1) or y=a

The r represents the rate of decay

the x usually represents the time in seconds, days, months, or whatever unit is being used

The y value represents the value of whatever your measuring, and in this context it represents the value of the car after x years.

This is because a represents the initial value

After one year it's only 85% worth it's initial value or 15% less which is represented as 0.85(a)

After two years it's only 85% worth the previous year or 15% less the previous year, which is represented as 0.85(0.85(a))

This will continue to decrease the number of years increase

4 0

1 year ago

Read 2 more answers