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3 years ago

HELP FAST PLEASE The volume of a paper bag with a base of 12" by 5" , and a height of 21" is in cubic inches

Mathematics

1 answer:

Oliga [24]3 years ago

7 0

Answer:1260 in ^3

Step-by-step explanation:

Volume of cubiod= l x b x h

L=12

B= 5

H=21

Volume = 12 x5 x 21

Volume = 1260 in ^ 3

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Solve for the missing side round to the nearest 10th (look at image)

SIZIF [17.4K]

Answer:

14.3

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

14^2 + 3^2 = c^2

196 + 9 = c^2

205 = c^2

Take the square root of each side

sqrt(205) = sqrt(c^2)

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zhuklara [117]

Answer:

Step-by-step explanation:

(x-3)/(x+4) = x/(x+10)

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3 years ago

3 56/34 - 5 1/2 simplify

MaRussiya [10]

Answer:

29/34

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Step-by-step explanation:

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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.

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3 years ago