This is a geometric sequence with a common ratio of -1/3 and an initial term of -324. Any geometric sequence can be expressed as:
a(n)=ar^(n-1), in this case a=-324 and r=-1/3 so
a(n)=-324(-1/3)^(n-1) so the 5th term will be
a(5)=-324(-1/3)^4
a(5)=-324/81
a(5)= -4
<h3>
Answer: 11/13</h3>
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Explanation:
Add up the four numbers given: 4+8+4+10 = 26 items total
Kick out the 4 black shirts since they are neither blue, nor are they pants.
So we have 26-4 = 22 items that are blue or a pair of pants (or both).
Divide that over the total (26) to get the probability we're after:
22/26 = (11*2)/(13*2) = 11/13
Side note: 11/13 = 0.8462 = 84.62% approximately
Volume of a rectangular prism = l × w × h.
In this case,
V = 270 cubic feet
l = 15 feet
w = 4 ft
h = ?
Plug our values into the volume formula.
270 cubic feet = 15 feet × 4 feet × h.
Simplify the right side
270 = 60 × h.
Divide each side by 60.
4.5 = h
The height is 4.5 feet.
Answer:
I do not know how it wants the answer, but it is -4.1 repeating.
I am guessing you meant solve for z too? If there are multiple choice I can help choose the right one.
Step-by-step explanation:
-32>5+9z
subtract 5 from both sides
-37>+9z
then divide 9 from both sides
-4.1111 repeating > z