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guajiro [1.7K]
3 years ago
11

Which is not a true proportion 4/8 = 1/2 7/21=1/3 10/25=2/5 12/14=4/7

Mathematics
1 answer:
valentinak56 [21]3 years ago
4 0

Answer: D

Step-by-step explanation:

12 and 14 share the factor 2 so the furthest it can be simplified to is 6/7. this is not equal to 4/7

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Calculate the following limit:
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\lim_{x\to\infty}\dfrac{\sqrt x}{\sqrt{x+\sqrt{x+\sqrt x}}}=\\
\lim_{x\to\infty}\dfrac{\dfrac{\sqrt x}{\sqrt x}}{\dfrac{\sqrt{x+\sqrt{x+\sqrt x}}}{\sqrt x}}=\\
\lim_{x\to\infty}\dfrac{1}{\sqrt{\dfrac{x+\sqrt{x+\sqrt x}}{x}}}=\\
\lim_{x\to\infty}\dfrac{1}{\sqrt{1+\dfrac{\sqrt{x+\sqrt x}}{x}}}=\\
\lim_{x\to\infty}\dfrac{1}{\sqrt{1+\dfrac{\sqrt{x+\sqrt x}}{\sqrt{x^2}}}}=\\
\lim_{x\to\infty}\dfrac{1}{\sqrt{1+\sqrt{\dfrac{x+\sqrt x}{x^2}}}}=\\\lim_{x\to\infty}\dfrac{1}{\sqrt{1+\sqrt{\dfrac{1}{x}+\dfrac{\sqrt x}{\sqrt{x^4}}}}}=\\\lim_{x\to\infty}\dfrac{1}{\sqrt{1+\sqrt{\dfrac{1}{x}+\sqrt{\dfrac{x}{x^4}}}}}=\\
\lim_{x\to\infty}\dfrac{1}{\sqrt{1+\sqrt{\dfrac{1}{x}+\sqrt{\dfrac{1}{x^3}}}}}=\\
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=\dfrac{1}{1}=\\
1


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3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Sonia walks to her aunt's house. She leaves home at 1025. She walks a total of 12km at an average speed of 5km/h. Work out the t
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Answer: 1249 hrs

Step-by-step explanation:

Sophia walked for 12 km to get to her aunt's house.

She did this at a speed of 5km/h which means that the time taken was:

Time = Distance / Speed

= 12 / 5

= 2.4 hours

2.4 in hours:

= 0.4 * 60 minutes

= 24 minutes

= 2 hours 24 minutes

If she left at 1025, she would arrive at:

= 1025 + 2 hours 24

= 1249 hrs

3 0
3 years ago
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