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maw [93]
3 years ago
8

Kyler ran 1/5 of a mile in 1 1/2 minutes how long will it take him to run 1/2 of a mile

Mathematics
1 answer:
ivanzaharov [21]3 years ago
3 0

Answer:

1/5 mile in 11/2 minutes

1 mile in 55/2 minutes

hence, 1/2 mile in 55/4 minutes

Step-by-step explanation:

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Which graph represents x> 5?
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Write a quadratic equation in the form x² + bx+c=0 that has the following
vfiekz [6]

Answer:

x^2-6x+5

Step-by-step explanation:

To have roots at x=5 and x=1 you need to write is as follows

(x-5)(x-1)

you then need to multiply these two and get

x^2-6x+5

7 0
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Mathew decides to run his first 50K (km) Ultra-Marathon. If 0.62 miles = 1 km, how many miles is Mathew going to run? * (please
kirza4 [7]

Answer:

31 miles

Step-by-step explanation:

If you multiply 0.62 by 50 you will get 31.

Please keep in mind that I am human and make mistakes. This answer could be wrong but this is my opinion on what the answer is.

4 0
3 years ago
Read 2 more answers
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zavuch27 [327]

Answer:

C

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8 0
2 years ago
The following integral requires a preliminary step such as long division or a change of variables before using the method of par
shtirl [24]

Division yields

\dfrac{x^4+7}{x^3+2x} = x-\dfrac{2x^2-7}{x^3+2x}

Now for partial fractions: you're looking for constants <em>a</em>, <em>b</em>, and <em>c</em> such that

\dfrac{2x^2-7}{x(x^2+2)} = \dfrac ax + \dfrac{bx+c}{x^2+2}

\implies 2x^2 - 7 = a(x^2+2) + (bx+c)x = (a+b)x^2+cx + 2a

which gives <em>a</em> + <em>b</em> = 2, <em>c</em> = 0, and 2<em>a</em> = -7, so that <em>a</em> = -7/2 and <em>b</em> = 11/2. Then

\dfrac{2x^2-7}{x(x^2+2)} = -\dfrac7{2x} + \dfrac{11x}{2(x^2+2)}

Now, in the integral we get

\displaystyle\int\frac{x^4+7}{x^3+2x}\,\mathrm dx = \int\left(x+\frac7{2x} - \frac{11x}{2(x^2+2)}\right)\,\mathrm dx

The first two terms are trivial to integrate. For the third, substitute <em>y</em> = <em>x</em> ² + 2 and d<em>y</em> = 2<em>x</em> d<em>x</em> to get

\displaystyle \int x\,\mathrm dx + \frac72\int\frac{\mathrm dx}x - \frac{11}4 \int\frac{\mathrm dy}y \\\\ =\displaystyle \frac{x^2}2+\frac72\ln|x|-\frac{11}4\ln|y| + C \\\\ =\displaystyle \boxed{\frac{x^2}2 + \frac72\ln|x| - \frac{11}4 \ln(x^2+2) + C}

7 0
2 years ago
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