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4 years ago

Aspect RALIUS

Mathematics

1 answer:

Naddika [18.5K]4 years ago

6 0

Answer:

Step-by-step explanation:

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Enter the value of 21 + (-3) - (-0.9).<br> PLSS

fomenos

Answer:

18.9

Step-by-step explanation:

21+(-3)-(-0.9) = 21-3+0.9 = 18+0.9 = 18.9

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3 years ago

What property of equality is X-12=7

Andreyy89

The property of equality equal Nineteen

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3 years ago

Write 5^3 x √5 as a single power of 5

MakcuM [25]

√5 = 5^(1/2)

Multiplying two number with the same base has as result a number with the same base and the sum of the exponents so:

1/2 + 3 = 7/2
which means
5^3 x 5^(1/2) = 5^(7/2)

5 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:

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

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

3 0

3 years ago

PLEASE HELP ILL GIVE BRAINLY

NISA [10]

Answer:

40.2

Step-by-step explanation:

7 0

3 years ago