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Lunna [17]
3 years ago
14

Mario goes out for his morning run. He starts out by running north for five miles, where he takes a 5 min rest. Then he heads ea

st for 5 more miles and without stopping he turns to run straight back to where he started. If he is running at one mile every 6 minutes, how long will this run take, counting his rest.
Mathematics
1 answer:
PIT_PIT [208]3 years ago
7 0

Step-by-step explanation:

He goes 20 miles in total so knowing that you can multiply 20 by 6 which is 120. Then you can add the break on giving you 125 min.

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What is 8% of $14.15?
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13.018

Step-by-step explanation:

14.15 minus 8 percent = 13.018

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3 years ago
What is an example of a one step equation that would use multiplication
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Multiplication equation 6 t = 54 6t = 54 6t=54 Multiply each side by five.

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3 years ago
The volume of a medal is 35 cm³
ratelena [41]

Answer:

301.224 g

Step-by-step explanation:

Let's divide in the ratio 21:4 the volume of the medal (35cm^3)

copper = (21/25)(35cm^3) = 29.4cm^3

tin = (35 - 29.4)cm^3 = 5.6cm^3

<em>FOR THE COPPER</em>

8.84 : 1 = X : 29.4

X = 259.896(g)

<em>FOR THE TIN</em>

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X = 41.328(g)

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7 0
2 years ago
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.

5 0
3 years ago
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Answer:4th one

Step-by-step explanation:I did it

5 0
3 years ago
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