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Margarita [4]
3 years ago
8

THE TOTAL DISTANCE OF A TRIP IS 986 MILES AND EACH HOUR THEY WILL DRIVE 65 MILES. WRITE AN EQUATION TO REPRESENT THE NUMBER OF R

EMAINING MILES (Y) AFTER DRIVING ANY NUMBER OF HOURS (X)
Mathematics
1 answer:
hodyreva [135]3 years ago
3 0

Since X is any number of hours, finding the distance traveled would be represented as 65x. To find the remaining, you would need to subtract, so it'd look like this: 986-65x. The best thing to do with problems like these is to take it slowly, and highlight the important parts if possible!

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8 0
3 years ago
Suppose a tub has the shape of an elliptical paraboloid given by z = ax2+by2 (where a, b are some positive constants). If a marb
Umnica [9.8K]

Answer:

It would roll in this direction.

\nu  =  (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})

Step-by-step explanation:

It would roll to the direction of maximum decrease, which is the -1 times the direction of maximum increase, which is given by the gradient of the function.  

Since  

z =  ax^2  + by^2

For this case, the gradient of your function would be

\nabla z  = (2ax , 2by)

And  -1  times the gradient of your function would be

-\nabla z  = (-2ax , -2by)\\

Then, at

 (1,1,a+b),\\x = 1 \\y = 1

So it would go towards

v = (-2a,-2b)

The magnitud of that vector is

|v| =  2\sqrt{a^2+b^2}

and to conclude it would roll in this direction.

\nu  =  (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})

6 0
3 years ago
A farmer has a piece of land with an area of 4 square yards. If a cow can graze grass at a rate of 2 square feet per hour, how l
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Answer:

2 hours

Step-by-step explanation:

4 square yards to feet: 4*3 = 12ft

3 cows grazing grass at 2 ft per hour: 2*2 = 6 square ft per hour

Time taken: 12ft/6ft per hour = 2 hours

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Kelsey's bank charged her $17.50 for using her debit
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Answers these two for 5 stars and brainlist and a thanks
shusha [124]

a. Dilation of 2nd equation by a factor of 12

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