<h3>
Answer: 8</h3>
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Work Shown:
Let's say there are 28 cards in a full stack.
6/7 = 24/28 after multiplying top and bottom by 4
Since he has 24/28 of a stack left, this means he has 24 cards left.
He wants to arrange the remaining cards into piles so that each pile consists of 3/28 of a full stack. In other words, he wants each pile to have 3 cards.
So this must mean he will get 24/3 = 8 piles
(8 piles)*(3 cards per pile) = 8*3 = 24 cards total
"of" means multiply
So 65% * 40
65% is the same as 0.65 (% means divide by 100).
0.65 * 40 = 26
26 games
If you divide the circumference C over the radius r, you get 2pi
2pi = C/r
this is because
C = 2pi*r
is one formula to find the circumference. Another formula is
C = pi*d
which works because d = 2r, ie the diameter is twice the radius.
Parallel lines have the same slopes (but different y intercepts). Parallel lines never cross. Parallel lines are the same distance from each other no matter where you are on either line. Think of it like a pair of perfectly straight railroad tracks.
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Perpendicular lines cross at one point. The two lines form a 90 degree angle. The two slopes multiply to -1, which is another way of saying that the slopes are negative reciprocals of one another. For example, a line with a slope of 2/3 and another line with a slope of -3/2 has these two values multiply to -1; therefore showing they are perpendicular lines.
Since g(-x) is equal to g(x), the function is an EVEN FUNCTION.
<h3>Is the given function even, odd or neither?</h3>
Given the function in the question;
g(x) = (4 + x²)/(1 + x⁴)
To determine if the function is even, odd or neither, we find g(-x) by substituting -x for all occurrence of x in the function.
g(x) = (4 + x²)/(1 + x⁴)
g(-1) = (4 + (-x)²)/(1 + (-x)⁴)
Simplify
g(-x) = (4 + x²)/(1 + x⁴)
Hence,
g(-x) = g(x)
Since g(-x) is equal to g(x), the function is an EVEN FUNCTION.
Learn more about even functions here: brainly.com/question/23446734
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