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Wittaler [7]
3 years ago
11

You typed a 600 word essay in 12 minutes. Let w be the number of words you can type in one minute. Can w be 60?

Mathematics
1 answer:
sergeinik [125]3 years ago
3 0

Answer:

w = 50

Step-by-step explanation:

600 = 12w

600/12 = 12/12w

w = 50

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How many gallons of paint are needed to paint one coat, if a gallon of paint covers 400ft squared?
bixtya [17]

Answer:

6.28 gallons

Step-by-step explanation:

first we need to find the area of a half sphere, and then find how much paint will be needed for that area.

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a=4 \pi r^2

thus, the area of half a sphere is:

a=2 \pi r^2

we know that the radius is:

r=20ft

we substitute this to find the area of the half sphere (the area they need to paint):

a=2\pi (20ft)^2\\a=2(3.1416) (400ft^2)\\a=2,513.27ft^2

now the question is how many gallons of paint are needed to paint 2,513.27 square feet.

We are told that 1 gallon covers 400 square feet

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5 0
3 years ago
Help me answer these questions
Reil [10]

Answer:

See below.

Step-by-step explanation:

1.  x = e^(x/y)   Taking logs:

log x =  x/y

x = y log x

Differentiating:

1 = dy/dx log x +  y * 1/x

dy/dx log x = (1 - y/x)

dy/dx =  (1 - y/x) / log x

dy/dx =  ((x - y)/ x) / log x

dy/dx = (x - y) / x log x)

2.  y^x = e ^(y - x)

Taking logs:

x log y = y - x   --------------(A)

y = x + x logy    --------------(B)

dy/dx = 1 + x * 1/y * dy/dx + 1*logy

dy/dx - dy/dx * x/y = 1 + log y

dy/dx ( (x - y) y))  = 1 + log y

dy/dx = y(1 + log y) / (y - x)

Using (A) and (B) :-

dy/dx =  x(1 + logy)(1 + logy) / x logy          The x's cancel, so:

dy/dx = (1 + logy)^2 / log y

Sorry I have to go right now..

The rest of the answers are  on the re-post of these questions

8 0
3 years ago
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