N divided by 3/5=13 1/3
1 answer:
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Answer:
vertex = (- 7, - 87)
Step-by-step explanation:
given a parabola in standard form : ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= -
p² + 14p - 38 is in standard form
with a = 1, b = 14, c = - 38, hence
= -
= -7
substitute x = - 7 into the equation for corresponding value of y
y = (- 7)² + 14(- 7) - 38 = 49 - 98 - 38 - - 87
vertex = (- 7, - 87)
We know diameter and height
.
First find the radius of the bottom of the cylinder,
.
Then find the area of the bottom of cylinder,
.
Then to find volume just multiply the height with the area of the bottom of the cylinder,
.
Hope this helps.
Answer:
Option b is correct.
The common ratio for the given geometric sequence is;
Step-by-step explanation:
The given sequence is; -96, 48 , -24, 12 , -6, .....
Since, given sequence is Geometric
Geometric Sequence in which each term is found by multiplying the previous term by a constant(i.e common ratio)
In general we write geometric sequence as;
where a be the first term and r is the common ratio.
On comparing the given sequence with general geometric sequence;
we get
a = -96 ......[1]
ar = 48 ......[2]
ar^2 = -24 .....[3]
and so on....
To find the common ratio i.e, r;
Divide equation [2] by [1];
Simplify:
Similarly,
by dividing the equation [3] by [2] we get;
Simplify:
As, you can see that the value of r is constant i.e, in the given sequence.
Therefore, the common ratio for the given geometric sequence is;