a stack of cards is placed next to a ruler, and the height of stack measured to be 3/4inches. how thick is one card
1 answer:
Total thickness of the stack of cards = 3/4 inch or 0.75 inch
In a full stack of cards, there are 52 cards.
Hence, the thickness of 52 cards = 0.75 inch.
To find the thickness of one card, we divide the total thickness with the total number of cards.
Thickness of one card =
1 inch = 2.54 cm
0.014423 inch is approximately equal to 0.34 cm.
Answer = 0.34 cm
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Answer:
See Below.
Step-by-step explanation:
We want to show that the function:
Increases for all values of <em>x</em>.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
Differentiate:
Simplify:
Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>