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elixir [45]
3 years ago
8

Determine the following product: 2a(4a^3-3a-1)

Mathematics
1 answer:
dexar [7]3 years ago
6 0
2a(4a^3 - 3a - 1) = 8a^4 - 6a^2 - 2a
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What equals 7 in multiplication
Zanzabum
Will there's 
5.5 x 2 = 11

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3 years ago
A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%
Mamont248 [21]

Answer:

a. A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\

b. \frac{dA}{dt}= -11.25 \frac{mg}{h}

Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

A= C_{0}(1-x)^t\\t: time \ in \ hours\\x: percentage \ of \ caffeine\ metabolized\\

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

\frac{dA}{dt} =C_{0}(1-x)^t \ln (1-x)\\\frac{dA}{dt} =100*0.88\ln(0.88)\\\frac{dA}{dt} =-11.25 \frac{mg}{h}

The rate is negative as it represents the amount of caffeine leaving the body at certain time.

3 0
3 years ago
Can anyone help me with any of these problems? You are supposed to find the surface area.
ale4655 [162]
You first need to break each shape down. for example in the top right corner you have a pyramid and a triangular prism. find the area for those two shapes and add them together and you will have the surface area for the entire shape
7 0
3 years ago
Find the measure of the arc.<br><br> 146°E<br><br> mFD =
Verizon [17]

Answer:

arc FD = 236°

Step-by-step explanation:

The measure of the arc is equal to the measure of the central angle it subtends, thus

arc FD = arc FE + arc ED = 146° + 90° = 236°

4 0
3 years ago
A recipe calls for 4 carrots for every 2 cups of water. Which expression can be used to find the number of carrots needed for 1
Ilya [14]

Answer:

4/2 or 4 carrots: 2 cups water

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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