Answer:
It would roll in this direction.

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

For this case, the gradient of your function would be

And -1 times the gradient of your function would be

Then, at

So it would go towards

The magnitud of that vector is

and to conclude it would roll in this direction.

Answer:
56
Step-by-step explanation:
The mean is the average number of a data set.
To find the mean:
First, add all the numbers in the data set:
30 + 45 + 45 + 70 + 90 = 280
Next, divide the sum (280) by 5 (amount of values):
280 / 5 = 56
56 represents the mean of your data set.
Answer:
y = 1500 * 1.09^t
Step-by-step explanation:
It should be clear that the rate of change is non-linear, meaning that we can express the function in the following manner
y = a * b^t, where a is the initial value and b is the rate of change and t is how many years.
Well, year 0 is the rate of change so we can say that a = 1500
Next, we divide any two consecutive year balances to find our rate of change:
1635/1500 = 1.09
Therefore, our equation looks like this: y = 1500 * 1.09^t
Answer:
The distance of helicopter from the injured person is 542.82 feet
Step-by-step explanation:
Given as :
The height of the hovering helicopter above the ground = h = 450 feet
The angle of elevation from injured person to helicopter = Ф = 56°
Or, Let the distance of of helicopter from person = x feet
Now, From Triangle
∵ Sin Ф = 
∴ Sin 56° = 
Or, 0.8290 = 
Or , x = 
I.e x = 542.82 feet
So, The distance from injured person to helicopter = 542.82 feet
Hence The distance of helicopter from the injured person is 542.82 feet Answer
Step-by-step explanation:

~While adding , the sign of each term of second expression remains same. So, Remove the unnecessary parentheses :
⤑ 
~Like terms are those which have the same base. Combine the like terms :
⤑ 
⤑ 

Hope I helped ! ツ
Have a wonderful day / night ♡
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