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Delvig [45]
3 years ago
6

When the tortoise raced the hare, the former maintained a constant pace of one mile per hour throughout the race; while the latt

er, being overconfident, wasted much time and averaged only 3/4 miles per hour for the first half of the course. How fast must the hare run over the second half of the course in order to win?
Mathematics
1 answer:
katen-ka-za [31]3 years ago
6 0
<span>The tortoise is runing one mile per hour the entire race. The hare is runing 3/4 only the first half. If we multiply by 2 totis =2 miles and hare =1.50 the hare need to run 1/2 or .50 faster to beat the tortis.</span>
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Solve the following equation. Remember to check for extraneous solutions 1/(x-6) + (x/(x-2)) = (4/(x²-8x+12)).
xxMikexx [17]

Answer:

-1, 2, 6

Step-by-step explanation:

We have to solve the equation as follows: 1/(x-6) + (x/(x-2)) = (4/(x²-8x+12)).

Now, we have, \frac{1}{x-6} +\frac{x}{x-2} = \frac{4}{x^{2}-8x+12 }

⇒\frac{(x-2)+x(x-6)}{(x-2)(x-6)} = \frac{4}{x^{2}-8x+12 }

⇒\frac{x-2+x^{2}-6x }{(x-2)(x-6)} =\frac{4}{(x-2)(x-6)}

⇒\frac{(x-2)(x-6)}{x^{2}-5x-2 }=\frac{(x-2)(x-6)}{4}

⇒(x-2)(x-6)[\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0

⇒ (x-2)(x-6) =0 or, [\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0

If, (x-2)(x-6) =0, then x=2 or x=6

If, [\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0, then x^{2} -5x-2=4

and (x-6)(x+1) =0

Therefore, x=6 or -1

So the solutions for x are -1, 2 6. (Answer)

4 0
3 years ago
How do you solve 3(15.9 - 3.9)<br> Step by step? I need help
N76 [4]

Answer:

36

Step-by-step explanation:

3(15.9 - 3.9)

3 · (15.9 - 3.9)

3(15.9) - 3(3.9)

47.7 - 3(3.9)

47.7 - 11.7

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5 0
3 years ago
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ValentinkaMS [17]

Answer:

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Step-by-step explanation:

Each year, the fish population is multiplied by 1-6% = 0.94, so after 8 years it has been multiplied by 0.94^8 ≈ 0.609569.

At that time, the population is ...

  8000×0.609569 ≈ 4877 . . . fish

6 0
3 years ago
Please help me I will mark u as brainlyest answer
dsp73

Answer:

D, D, G, G,

Step-by-step explanation:

1st. Decay: This is decay because number being multiplied is less than 1.

2nd. Decay:This is decay because number being multiplied is less than 1.

3rd. Growth: This is growth because the number being multiplied is greater than 1.

4th.Growth:This is growth because the number being multiplied is greater than 1.

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The clock has a diameter of 22 inches. What is the circumference of the clock?
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Answer:

The circumference is 44

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