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2 years ago

Use finite differences to identify the degree of the polynomial that best describes the data. 9 10 11 12 13 14

1 answer:

4 0

The forward differences for this data is 1, 1, 1, 1, 1, 1 (since 10 - 9 = 1, 11 - 10 = 1, etc). Since we only need one iteration of differences, a linear polynomial will fit the data exactly.

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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

The ratio of boys to girls in home room is 2:3. If there are 8 boys how many girls are there .

Serhud [2]

Answer:

12 girls

Step-by-step explanation:

multiply 8 by 3/2 to get 12.

6 0

3 years ago

Read 2 more answers

In January 2011 the rate of VAT increased from 17.5% to 20%

Sergio [31]

Answer:

Difference between in price of a car due to increase in VAT is $375.

Step-by-step explanation:

Since e have given that

Price of car = $15000

Rate of VAT = 17.5%

So, Amount of tax becomes

So, Total Price he has to pay is given by

but According to question,

Rate of VAT = 20%

So, Amount of tax becomes

So, Total price he has to pay is given by

Difference between both the price due to increase in VAT is given by

Hence, difference between in price of a car due to increase in VAT is $375.

7 0

3 years ago

the length of a playground is 40 yards and the width of the playground is 30 yatds. tanya is going to run around the sides of th

Maru [420]

Answer:

Maria (I THINK)

Step-by-step explanation:

Tanya is running 70 yards in all, while maria would be running more based on the pythagorean theorem

The pythagorean theorem is that on a right triangle, the square root of the two legs equal the hypotenuse

40^2+ 70^2 =c^2

6500=c^2

square root both sides

and roughly c= 80.6 yards so maria runs more

(Im not sure it is a right angle though?)

3 0

3 years ago

A rectangular patio has a length of 12 1/12 feet and an area of 103 1/8 square feet. What is the width of the patio?

mafiozo [28]

Answer:

The width of the rectangular patio is 8 1/4 feet, or as a decimal, 8.25 feet

Step-by-step explanation:

6 0

3 years ago