3 years ago

Look the the question below

Mathematics

1 answer:

Ivahew [28]3 years ago

5 0

Answer: You can make 8 servings with 1 gallon.

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Chandler Heisinger buys a monthly metro card, which entitles him to unlimited subway travel in New York City, for $81 per month.

ANTONII [103]

Let $r$ be the number of rides Chandler takes in a month. Then the cost with the MetroCard is still $81, but the cost without the MetroCard is $2r$ . So we can set up an equation representing what we want: "The cost with a MetroCard of r rides in a month is less than the cost without a MetroCard." In equations,
$81\ \textless \ 2r \\ r\ \textgreater \ 81/2\ \textgreater \ 40 \\
r \geq 41$
Thus, at a minimum, Chandler must take 41 rides for his MetroCard to be cheaper than not having it.

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4 years ago

Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim x→0+ (2x + 1)

ElenaW [278]

$\displaystyle\lim_{x\to0^+}(2x+1)\cot x=\lim_{x\to0^+}\frac{2x+1}{\tan x}$

As $x\to0$ , the numerator approaches 1 while $\tan x\to0$ , but since $x\to0$ from above we have $\tan x>0$ , which suggests the limit is $+\infty$ .