In the diagram, JK || GI. If the ratio of HJ to JG is 3 to 1, then what is the ratio of HK to KI?

A typical cup of coffee contains about 100 mg of caffeine and every hour approximately 16% ofthe amount of caffeine inthe body i

Over [174]

Answer:

a) $\frac{dC}{dt} = rC$

And for this case we can rewrite the model like this:

$\frac{dC}{C} = r dt$

If we integrate both sides we got:

$ln C = rt + k$

If we use exponentials for both sides we got:

$C = e^{rt} e^k = C_o e^{rt}$

For this case $C_o = 100 mg$ and r = -0.16

So then our model would be given by:

$C(t) = 100 e^{-0.16 t}$

Where t represent the number of hours

b) $C(5) = 100 e^{-0.16*5}= 44.9329$

Step-by-step explanation:

Part a

For this case we can assume the proportional model given by:

$\frac{dC}{dt} = rC$

And for this case we can rewrite the model like this:

$\frac{dC}{C} = r dt$

If we integrate both sides we got:

$ln C = rt + k$

If we use exponentials for both sides we got:

$C = e^{rt} e^k = C_o e^{rt}$

For this case $C_o = 100 mg$ and r = -0.16

So then our model would be given by:

$C(t) = 100 e^{-0.16 t}$

Where t represent the number of hours

Part b

For this case we can replace the value t=5 into the model and we got:

$C(5) = 100 e^{-0.16*5}= 44.9329$

7 0

3 years ago

What is the greatest number of 19 cent stickers that can be purchased with a $20 bill, assuming there is no sales tax?

user100 [1]

Answer:

105

Step-by-step explanation:

First, you are going to convert dollars to cents. Since there are 100 cents in a dollar, multiple $20 by 100. Now you should have 2,000 cents. Now all you have to do is divide by 19, the cost of the stamps, and you should get 105.26. Because you can't by part of a stamp your answer would be 105.

4 0

2 years ago

Can someone please help and explain

Nuetrik [128]

Answer:

2

Step-by-step explanation:

that is the least common denominator

3 0

3 years ago

Read 2 more answers

Pleas help please !!!!!!!!!!!!!!!!!!!!!!!

Zepler [3.9K]

Answer:the first one is 6 and the seconndone is 4.5

Step-by-step explanation:

x- gose forward 2

y- gose 2.5

8 0

2 years ago

Max is saving to buy a bicycle. The bicycle he wants costs $150.00. Max has already saved $95.00. Write an equation that can be

Setler [38]

1. For the first question, asking to write an equation for how much more Max needs to save up, It would simply be 95.00 + n = 150.00.
This is because he has $95 and needs $n more to get to the final amount of $150.

2. For the second question, asking which number being substituted for n makes the equation true, isolate n in the equation to find what it equals. To do this, subtract 95 from both sides.
95 + n - 95 = n < This isolates the variable.
150 - 95 = 55
This means n = 55 (fifty five)

3. The inequality is a bit more complicated since it says less than $5 per week. The way I'd do it would get some kind of answer but because I haven't done inequalities like this in a while, I unfortunately can't help you with this part. I can say, however, that it more than likely has something to do with being between two values, but I'm not sure. Sorry for the inconvenience.

5 0

3 years ago