3 years ago

WORTH 20 PTS.

Mathematics

1 answer:

Alika [10]3 years ago

4 0

Answer:

$150

61 mph is 11 mph over 50 mph; see where the 11 mph mark is on the graph, and go up on the line to see what the fine is ($150).

Hope this helps :)

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1 x (3 + 7) = (1 x 3) + (1 x 7) is an example of which property?

Crazy boy [7]

Answer:

distributive property

Step-by-step explanation:

they distribute the 1 to the 3 and 7 to make it easier

hope this helps

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3 years ago

What is the slope of the line that passes through the points (-3,-9) and (22,-4)

scZoUnD [109]

Answer: 1/5

Step-by-step explanation:

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2 years ago

Use Laplace transform methods to solve the differential equation: The initial conditions are f(0) = 0 and <img src="https://tex.

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

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

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

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s=-2: A=10/12=5/6

s=-4: B = -5/4

Taking inverse Laplace

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

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3 years ago

One small tank takes twice as long to fill a tank as a larger pipe does. If it takes the two pipes 40 minutes to fill the tank w

Gala2k [10]

Um... it'll take each pipe 80 mins, bcz if together they take that long, then to find the pipes time separately, you just multiply it by two to show it doing the work the other pipe did as well. Is that what you wanted??

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3 years ago

A little bit of help on my hw haha, will mark brainiest

Readme [11.4K]

B agree
A,c, d don’t make sense

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2 years ago