Answer:
-7,-5.8,-4.6,-3.4,-2.2
Step-by-step explanation:
A geometric sequence must have a common ratio.
-3 / 1 = -3
9 / -3 = -3
-27 / 9 = -3
81 / -27 = -3
The first sequence is a geometric sequence.
-5.8 / -7 = 0.829...
-4.6 / -5.8 = 0.793...
The second sequence is not a geometric sequence (it is an arithmetic sequence with a common difference of 1.2).
Applying log rules leaves us with the following equation:
x^2 + 8 = 6x
Change to standard form and solve using factoring.
x^2 - 6x + 8 = 0
(x - 4)(x - 2) = 0
x = 4
x = 2
Hope this helps!
This is just a cylinder, with a cone and half of a sphere carved out of it.
Just find the volume of the cylinder, then subtract the volume of the cone and the volume of the half-sphere from it, and you'll have the volume of the part that's left.
Now I'll tell you why this problem was assigned: The purpose is
to give you an opportunity to recall the formulas for the volumes
of these three shapes. To hep you recall them, here they are:
Volume of a cylinder = (pi) (radius of the round end)² (length)
Volume of a cone= (1/3) (pi) (radius of the round end)²
Volume of a whole sphere= (4/3) (pi) (radius of the whole sphere)³
Notice that in the weird contraption in the picture, the cylinder,
the cone, and the half-sphere all have the same radius.
Okay
Im pretty sure the possible values of K are {1,2,3}
2K=m+3
Subtract 3 from {5,7,9} -> {2,4,6}
{2,4,6} / 2 = {1,2,3}
Therefore the possible values of K are {1,2,3}(?)
4/5 - 1/6 = 24-5 / 30 = 19/30
19/30 * 1/2 = 19/60 cups of sugar. Wonder how he measured that?