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Pachacha [2.7K]
2 years ago
10

A relay race is 1/10 kilometer long four athletes will run an equal distance to complete the relay how far does each athlete run

? In fraction
Mathematics
1 answer:
barxatty [35]2 years ago
8 0

Step-by-step explanation:

1/10 km long, split into 4 equal parts.

so each part is 1/10 / 4 km long.

1/10 / 4 = 1/10 / 4/1 = 1×1 / (4×10) = 1/40

each athlete has to run 1/40 km.

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Determine the singular points of the given differential equation. Classify each singular point as regular or irregular. (Enter y
ludmilkaskok [199]

Answer:

Step-by-step explanation:

Given that:

The differential equation; (x^2-4)^2y'' + (x + 2)y' + 7y = 0

The above equation can be better expressed as:

y'' + \dfrac{(x+2)}{(x^2-4)^2} \ y'+ \dfrac{7}{(x^2- 4)^2} \ y=0

The pattern of the normalized differential equation can be represented as:

y'' + p(x)y' + q(x) y = 0

This implies that:

p(x) = \dfrac{(x+2)}{(x^2-4)^2} \

p(x) = \dfrac{(x+2)}{(x+2)^2 (x-2)^2} \

p(x) = \dfrac{1}{(x+2)(x-2)^2}

Also;

q(x) = \dfrac{7}{(x^2-4)^2}

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

From p(x) and q(x); we will realize that the zeroes of (x+2)(x-2)² = ±2

When x = - 2

\lim \limits_{x \to-2} (x+ 2) p(x) =  \lim \limits_{x \to2} (x+ 2) \dfrac{1}{(x+2)(x-2)^2}

\implies  \lim \limits_{x \to2}  \dfrac{1}{(x-2)^2}

\implies \dfrac{1}{16}

\lim \limits_{x \to-2} (x+ 2)^2 q(x) =  \lim \limits_{x \to2} (x+ 2)^2 \dfrac{7}{(x+2)^2(x-2)^2}

\implies  \lim \limits_{x \to2}  \dfrac{7}{(x-2)^2}

\implies \dfrac{7}{16}

Hence, one (1) of them is non-analytical at x = 2.

Thus, x = 2 is an irregular singular point.

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3 years ago
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2 7/4=3.75

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4 0
3 years ago
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poizon [28]

Does this help? If it doesn't i can try to explain more if you want.

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kirill115 [55]

Answer:

625 cm^2

Step-by-step explanation:

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triangle area = 1/2 b * h = 1/2 * 50 * 9 = 225 cm^2

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