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vodka [1.7K]
3 years ago
13

The table compares the shoes worn by customers in an ice cream shop and the ice cream flavor that they picked. Can ice cream fla

vor be represented as a function of the type of shoe? Shoe type Ice cream flavor Boots Strawberry Loafers Vanilla Sandals Chocolate High-heels Banana Flip-flops Pineapple Moccasins Chocolate Sandals Banana Loafers Vanilla Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No
Mathematics
2 answers:
antiseptic1488 [7]3 years ago
4 0

Answer:

si! yes

Step-by-step explanation:

anastassius [24]3 years ago
3 0

the answer is no.

bajaabjshsiwhdd

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Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.
grandymaker [24]
(2x+1)^{\cot x}=\exp\left(\ln(2x+1)^{\cot x}\right)=\exp\left(\cot x\ln(2x+1)\right)=\exp\left(\dfrac{\ln(2x+1)}{\tan x}\right)

where \exp(x)\equiv e^x.

By continuity of e^x, you have

\displaystyle\lim_{x\to0^+}\exp\left(\dfrac{\ln(2x+1)}{\tan x}\right)=\exp\left(\lim_{x\to0^+}\dfrac{\ln(2x+1)}{\tan x}\right)

As x\to0^+ in the numerator, you approach \ln1=0; in the denominator, you approach \tan0=0. So you have an indeterminate form \dfrac00. Provided the limit indeed exists, L'Hopital's rule can be used.

\displaystyle\exp\left(\lim_{x\to0^+}\dfrac{\ln(2x+1)}{\tan x}\right)=\exp\left(\lim_{x\to0^+}\dfrac{\frac2{2x+1}}{\sec^2x}\right)

Now the numerator approaches \dfrac21=2, while the denominator approaches \sec^20=1, suggesting the limit above is 2. This means

\displaystyle\lim_{x\to0^+}(2x+1)^{\cot x}=\exp(2)=e^2
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3 years ago
Which of the following is not a factor that affects your auto insurance premiums?
madam [21]
The color of your car
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Teresa runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?
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Answer:

She would run about 5.8 miles in 64 min.

Step-by-step explanation:

Let m= miles per minute

7=80m divide 80 on both sides.

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5.8

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Step-by-step explanation:

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Add the numbers together and divide by 5. 5 is the amount of numbers in the example.

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