What is the nth term rule of the quadratic sequence below? -5, -3,3, 13, 27, 45, 67, ...
2 answers:
Answer:
Step-by-step explanation:
a +b + c = - 5 First term in sequence
3a + b = 2 Difference between first two terms
2a = 4 Difference between the difference of the first two terms and the second third terms (the difference between -5 and -3 is 2 the difference between -3 and 3 is 6; the difference between 6 and two is 4)
2a = 4 so a = 2; 3(2) + b = 2 → 6 + b = 2 so b = -4; 2 - 4 + c = -5 → -2 + c = -5 so c = -3
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Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.
Step-by-step explanation:
Since we have given that
Height = 9 inches
Diameter = 6 inches
Radius = 3 inches
So,
Volume of cone is given by
By differentiating with respect to time t, we get that
Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie
and h = 2 inches deep.
Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.
Answer:
-2
Assumption:
Find the value of x such that .
Step-by-step explanation:
Combine like terms:
This is not too bad too factor on the left hand side since 2(2)=4 and 2+2=4.
So we need to solve:
Subtract 2 on both sides:
Let's check:
0 was the desired output of .