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natali 33 [55]
3 years ago
5

On a map, 3 cm represents 35 miles. What is the actual distance if two cities are 6.5 cm apart on the map?

Mathematics
1 answer:
Lina20 [59]3 years ago
6 0

Answer:

75 miles

Step-by-step explanation:

35 times 2= is 70

so 6 cm is 70

plus 5 for the .5

so 70+5= 75

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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
IS THE PRODUCT OF 89 AND 20?​
Shalnov [3]

Answer:

1780

Step-by-step explanation:

product means multiply

20x89=1780

4 0
2 years ago
What are the slope and y-intercept of the linear function graphed to the left?
Igoryamba

Answer:

y intercept equals 1

Step-by-step explanation:

y= -1/2x+1

the slope is -1/2

the y intercept is 1

6 0
3 years ago
Which graph represents a function?​
Mkey [24]
The graph that does not show Y or X
5 0
3 years ago
Since Beth was born, the population of her town has increased at a rate of 850 people per year. On Beth's 9th birthday, the tota
scZoUnD [109]

Answer:

editor edit

37,650

Step-by-step explanation:

37650

3 0
3 years ago
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