Help me quick please

Mathematics

2 answers:

Ira Lisetskai [31]3 years ago

8 0

Answer:

Step-by-step explanation:

both bases are 9 thus the base stays the same

9=?

since we're multiplying we are gonna add the powers:

⁷+²=⁹

thus...

9⁷×9²

Hope this helped you- have a good day bro cya)

Semmy [17]3 years ago

7 0

Answer:

9^9

Step-by-step explanation:

9^7×9^2

9^7+^2

^7+^2=9

9^9

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If 3 oranges and 4 apples cost $14 and 5 oranges and 2 apple cost $21. find the value of 2 oranges and 3 apples.

Semmy [17]

Answer:

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Step-by-step explanation:

3 0

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:

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