Given:
The equations of parabolas in the options.
To find:
The steepest parabola.
Solution:
We know that, if a parabola is defined as
Then, the greater absolute value of n, the steeper the parabola.
It can be written as
where 
, the smaller absolute value of p, the steeper the parabola.
Now, find the value of |p| for eac equation
For option A, 
For option B, 
For option C, 
For option D, 
Since, the equation is option A has smallest value of |p|, therefore, the equation 
represents the steepest parabola.
Hence, the correct option is A.
Answer:
The approximate volume of the sphere= 4187 cubic units
Step-by-step explanation:
<u>Points to remember</u>
Volume of sphere = (4/3)πr³
Where 'r' radius of sphere
<u>To find the volume of sphere</u>
It is given that the radius of the sphere is 10 units. ,
Here radius r = 10 units
Volume = (4/3)πr³
= (4/3) * 3.14 * 10³
= (4/3) * 3140
= 4186.666 ≈ 4187 cubic units
Answer:
27 and 29
Step-by-step explanation:
let A and B the expected numbers
assuming B = A + 2, the problem can be written as follows
¼(A + A + 2) = 14
4*¼(A + A + 2) = 4*14
(A + A + 2) = 56
2A + 2 = 56
A + 1 = 28
A = 27
B = 27 + 2 = 29
The constant variation of k is 40. Hope that helps.
Answer:
-3072
Step-by-step explanation:
ar^(n-1)
a is the first term.
r is the common ratio.
3(-4)^(6-1)
3(-4)^5
3(-1024)
= -3072
The 6th term of the geometric sequence is -3072.
