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s344n2d4d5 [400]
3 years ago
14

A punch recipe that serves 24 people calls for 4 liters of lemon-lime soda, 2 pints of sherbet, and 6 cups of ice. How much of e

ach ingredient would you need to make an identical recipe that serves 18 people? Explain your reasoning.
Mathematics
1 answer:
harkovskaia [24]3 years ago
5 0
Well 18 people is 3/4 of 24 people. So for each ingredient just multiply the value by 0.75.

3 litres of lemon line Soda
1.5 pints of sherbet
4.5 cups of ice
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Lim x->pi/3 ((2cosx-1)/(tan^2x-3))
beks73 [17]

You can check that the limit comes in an undefined form:

\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\dfrac{0}{0}

In these cases, we can use de l'Hospital rule, and evaluate the limit of the ratio of the derivatives. We have:

\dfrac{\text{d}}{\text{d}x}2\cos(x)-1 = -2\sin(x)

and

\dfrac{\text{d}}{\text{d}x}\tan^2(x)-3 = 2\dfrac{\tan(x)}{\cos^2(x)}=\dfrac{2\sin(x)}{\cos^3(x)}

So, we have

\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\lim_{x\to\frac{\pi}{3}} \dfrac{-2\sin(x)}{\frac{2\sin(x)}{\cos^3(x)}}=\lim_{x\to\frac{\pi}{3}}-\cos^3(x)=-\cos^3\left(\dfrac{\pi}{3}\right)

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3 years ago
A clothing factory makes 7,200 t shirts in one week on average there are 45 employees at the factory if each employee makes the
Alika [10]

Answer:

<h3>160</h3>

Step-by-step explanation:

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3 years ago
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Help pls ill give extra points
Nadya [2.5K]
Suzuki after line 3 where it says 42 / 5 +16 she shouldn’t have added 5 and 16 she needs to follow pemdas and do 42/5 which is 8.4 then she needs to add 8.4 and 16 to get an answer of 24.4
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B all real numbers greater than 0

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Irina-Kira [14]

Answer:

Step-by-step explanation:

20-pack of Dr. Pepper cost $5.50 . As per this deal

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a 6-pack cost $1.50.As per this deal

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A 6-pack cost $1.50 is the better deal.

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3 years ago
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