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nadya68 [22]
1 year ago
10

3.) AI 65 kom hr. Alfred can reach home in 50 minutes. At what speed should he drive his car

Mathematics
1 answer:
Yanka [14]1 year ago
8 0

Answer:

He should drive his car at a speed of 81.25 kilometers per hour.

Step-by-step explanation:

With a velocity of 65 kilometers per hour, he reaches home in 50 minutes. What speed he needs to reach home 10 minutes earlier, that is, in 50 - 10 = 40 minutes?

To solve this, we use the relation between inverse proportion variables(as the velocity increases, time needed decreases), that is, a rule of three with line multiplication, instead of cross. So

65 kilometers per hour - 50 minutes

x kilometers per hour - 40 minutes

So

40x = 65*50

x = \frac{65*50}{40}

x = 81.25

He should drive his car at a speed of 81.25 kilometers per hour.

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Solve the equation y′ + 3y = t + e^(−2t).
Leni [432]
Hello,

I am going to remember:

y'+3y=0==>y=C*e^(-3t)

y'=C'*e^(-3t)-3C*e^(-3t)

y'+3y=C'*e^(-3t)-3Ce^(-3t)+3C*e^(-3t)=C'*e^(-3t) = t+e^(-2t)
==>C'=(t+e^(-2t))/e^(-3t)=t*e^(3t)+e^t
==>C=e^t+t*e^(3t) /3-e^(3t)/9

==>y= (e^t+t*e^(3t)/3-e^(3t)/9)*e^(-3t)+D
==>y=e^(-2t)+t/3-1/9+D
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2 years ago
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ludmilkaskok [199]

Answer:

\frac{1}{12}

Step-by-step explanation:

Since we're finding the product, we have to multiply:

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You can simplify in this stage by using the "butterfly method", and dividing 2 by 2, and 8 by 2, you'd then have:

\frac{1}{3} × \frac{1}{4}

Multiply the numerators and the denominators to get:

\frac{1}{12}

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If you prefer the longer way, again, multiply:

\frac{2}{3} × \frac{1}{8}

Multiply the numerators and the denominators:

\frac{2}{24}

Simplify the fraction by dividing both the numerator and denominator by 2:

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Step-by-step explanation:

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