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DochEvi [55]
3 years ago
12

What is the range of g(x)?

Mathematics
1 answer:
Jlenok [28]3 years ago
8 0

Answer:

The function g(x) is defined for all real numbers x. The maximum value of the range is 4. The maximum value of the domain is 3. The range of g(x) is {y| –1 < y ≤ 4}.

Step-by-step explanation:

i don't know what your question is exactly but hope this helps.

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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
Estimate √97.5 / 1.96
evablogger [386]

Answer: 5


Step-by-step explanation:

 1. You have the following expression given in the problem above:

\frac{\sqrt{97.5}}{1.96}

2. You can estimate the result by rounding the numerator and the denominator.

3. As you can see, you can round up 97.5 to 100.

4. Then, you can round up 1.96 to 2.

5. Therefore, you have:

\frac{\sqrt{100}}{2}

\frac{10}{2}=5

6. Therefore, the result is 5.

3 0
3 years ago
Lelani has 64 baseball cards. This is 4 times as many baseball cards as Paul has. How many baseball cards does Paul have?​
NemiM [27]

Answer:

16

Step-by-step explanation:

64 divided by 4 is 16. Paul has 16 baseball cards.

7 0
2 years ago
Read 2 more answers
Devon purchased tickets to an air show for 9 adults and 2
Vladimir79 [104]

Answer:

18$ per adult, 15 per clild

Step-by-step explanation:

Brainly plzzzz

6 0
3 years ago
Read 2 more answers
Plz help will give brainliest
olga_2 [115]

Answer:

8

Step-by-step explanation:

Since the entire triangle was translated, each point gets shifted 9 left and 3 up which does not alter the triangle measurements, so all sides and angles of triangle' is the same as the original.

6 0
3 years ago
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