Answer:
Step-by-step explanation:
<u>Complete Question:</u>
A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m. With each swing, she travels along an arc that is half as long as the arc of the previous swing. Which expression gives the total length the monkey swings in her first n swings?
<u>Solution:</u>
First Swing:
24 m
Second Swing:
Half of first, so
24(1/2)
Third Swing:
Half of second, so:
24(1/2)(1/2)
Fourth Swing:
24(1/2)(1/2)(1/2)
So we see the general formula as:
<u>Note:</u> n -1 because (1/2) plays a role from second swing, which is n - 1
where n is the number of swings
X<3 or X>1
move constant to the right side and change the sign
2 Answers:
Choice C) It will use a closed circle
Choice D) The ray will move to the left
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Explanation:
The inequality 
means that x = -8 or x < -8. Since we're including -8 itself, which is the endpoint, we'll use a closed circle. In contrast, an open circle would be used if the inequality was 
to exclude the endpoint -8.
The ray is to the left because we're visually describing all values smaller than -8. Such example values are -10 and -22 as these values are to the left of -8 on the number line.
In short, the graph consists of a closed circle at the endpoint -8 and the arrow is to the left. We can say the shading is to the left.
Answer:
(-4,-6),(-2,-5),(0,-4),(4,-2)
Step-by-step explanation:
(x,y)
x represents the x co-ordinate of a point
y represents the y co-ordinate of a point
It appears Jake said 5-2 = 3 for the denominator portions. This is not correct. In order to subtract fractions, the denominators must be the same and they stay the same the entire time. Only the numerators (aka stuff up top) are being subtracted.
Currently 3/5 - 1/2 cannot be subtracted since the 5 and 2 are different denominators. But we can say this:
3/5 = 6/10
1/2 = 5/10
and then from there, we can say:
3/5 - 1/2 = 6/10 - 5/10 = (6-5)/10 = 1/10
So in short,
3/5 - 1/2 = 1/10
