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Natalija [7]
3 years ago
10

Vladimir is walking down the street at a speed of 4 miles per hour. Write an equation for the distance in miles, d, that Vladimi

r walks over time in hours, t.
Mathematics
1 answer:
zubka84 [21]3 years ago
8 0

Answer:

d=4t

Step-by-step explanation:

We have been given that Vladimir is walking down the street at a speed of 4 miles per hour. We are asked to write an for the distance in miles, d, that Vladimir walks over time in hours, t.

We will use rate formula to solve our given problem.

\text{Speed}=\frac{\text{Distance}}{\text{Time}}

\text{Distance}=\text{Speed}\times\text{Time}

Upon substituting our given information in distance equation, we will get:

d=4\cdot t

d=4t

Therefore, the equation d=4t represents the distance that Vladimir walks over time in hours.

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Llana [10]

Answer:

Step-by-step explanation:

\frac{d^2 y}{dt^2} +12\frac{dy}{dt} +32y = 10e^{-2t} where f(x) is replaced by y

Take Laplace on both sides

s^2 Y -s(0)-0 +12s Y-0+32Y = \frac{10}{s+2} \\Y(s^2+12s+32) =  \frac{10}{s+2}\\Y =  \frac{10}{(s+2)(s+4)(s+8)}

We can resolve into partial fraction to get Y = L(y)

Let this equals

\frac{A}{s+2} +\frac{B}{s+4} +\frac{C}{s+8} \\10 = A(s+4)(s+8) + B(s+2)(s+8) +Cs+4)(s+2) \\

Solving we get

s=-9

24C = 10 or C =5/12

s=-2:  A=10/12=5/6

s=-4: B = -5/4

Taking inverse Laplace

y(t) = \frac{-5e^{-4t} }{4} + \frac{5e^{-8t} }{12} +\frac{-5e^{-2t} }{6}

6 0
3 years ago
Can someone help Plz
MArishka [77]

Answer:

D = 67 inches

Step-by-step explanation:

The trend line is y = x+2  where x is the height

y = 65+2

y = 67

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3 years ago
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777dan777 [17]

Answer:

The 3rd answer i think

Step-by-step explanation:

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3 years ago
Let a, b, and c be constants, and let x be a variable. Which of the following is
Nonamiya [84]

Answer:

C

Step-by-step explanation:

We have:

a(x+b)

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We would like to solve for a. So, let’s divide both sides by a.

Notice that a<0. Therefore, a is negative. Hence, we must flip the sign since we are dividing by a negative. This yields:

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2 years ago
What is 30,000 expressed in scientific notation?
OlgaM077 [116]

The answer is b. It is the only choice that equals the right answer. You could also write this as 3 * 10^4, which is equivalent to b.

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3 years ago
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