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Alenkasestr [34]
3 years ago
9

Please help me with this

Mathematics
1 answer:
Yuliya22 [10]3 years ago
8 0
Answer is B. Bc it's 72/12 =.5
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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
A rectangular balcony has an area of 32 square feet. its perimeter is 24 feet. what are the dimensions of the balcony?
Paul [167]

Answer:

Step-by-step explanation:

8 ft by 4 ft

8ft x 4ft = 32 ft

8ft + 8 ft = 16 ft  4 ft + 4 ft = 8 ft

16ft + 8 ft = 24 ft

5 0
3 years ago
2*8*5=2*5*8 identify the property that is shown
ira [324]
The property shown is commutative multiplication.  This property says that the product of two factors is not affected by the order in which they're multiplied.  In this case, the product remains the same i.e.,  2*8*5 = 80 while 2*5*8 <em>also </em>equals 80.
7 0
3 years ago
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Max, a carpet installer, needs to calculate the amount of carpet needed to cover a floor that’s 3 1⁄2 yards wide and 4 3⁄4 yards
AlekseyPX

Answer:

13 1/2

Step-by-step explanation:

Just multiply 3.5 and 4.75

AKA

3 1/2 and 4 3/4

Change 1/2 into 2/4 so the denominators are the same

Multiply the numerators 2 and 3, you now have 6/4

3 × 4 = 12

6/4 is improper so, you need to simplify

now you have 1 1/2

Now 12 + 1 1/2 = 13 1/12

5 0
3 years ago
Joelle would like to tip her hairdresser 20%. If her haircut costs $38.00, which expression should she use to find the tip amoun
Ksju [112]

Answer:

(0.2)(38)

Step-by-step explanation:

To find a percent, you multiply the number (cost) by the decimal of the percent

20% as a decimal is .2

6 0
3 years ago
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