Answer:
1) x ≤ -2;
2) x > 2;
3) x - 2 < 0
4) 2 ≤ x;
5)-2 < x;
Step-by-step explanation:
≤ means equal to or smaller than;
≥ means equal to or greater than;
< means smaller than;
> means greater than;
In addition, ≤ and ≥ are closed dots in the intervals. < and > are open dots in the intervals.
1) x ≤ -2; By looking at the intervals, the dot is -2, and the arrow is going to the left sides, -4, that the numbers were in a range of smaller than -2. And also because it's a closed dot, it means equal to or smaller than.
2) x > 2; The number starts in 2 with an open dot, and goes to 4, which means x in a range that greater than 2 but not equal to.
3) x - 2 < 0, we get x < 2, by plus 2 in both sides. The number starts in 2 with an open dot and goes to -4, which means x becomes smaller than 2 but not equal to.
4) 2 ≤ x; The number starts in 2 with a closed dot and goes to 4, the x is places in a number range that is equal to or greater than 2.
5)-2 < x; The number starts in -2 with an open dot and goes to 4, which means x becomes bigger than -2 but not equal to.
Answer:
see below
Step-by-step explanation:
You want terms that have a common ratio of 3, so the term in the summation will be 3 to some power. Only the first expression matches that requirement.
You can try different values of n to see if they fit the problem description.
n = 1: 1(3)^0 = 1(1) = 1
n = 2: 1(3)^1 = 1(3) = 3
n = 3: 1(3)^2 = 1(9) = 9 . . . . . the third triangle in the set has 9 shaded triangles, as this expression predicts. Thus, we see the problem description being matched by <em>the first answer choice shown</em>.
A) probability of sequences can be calculated by multiplying the probability of the first event by the second, etc. until the end of the series. Thirteen cards are clubs in a 52 card deck, so the initial probability of drawing a club is 13/52, or 0.25 (25%). This means that the cumulative probability is 0.25 x 0.25, or 0.0625 (6.25%).
B) Like part a, the initial probability of finding a green marble is 6/16, or 0.375 (37.5%). When not replacing the marble, the second probability is now 5/15, or 0.33 (33.3%), due to the loss of this marble. This means that the cumulative probability is 0.375 x 0.333, or 0.1249 (12.49%).
C) The initial probability of finding a green apple is 4/6, or 0.66 (66.6%). The second probability, when not replacing the apple is now 2/5, or 0.4 (40%) - the loss of the apple affected the total number of apples, but didn’t affect the number of red apples. This means that the cumulative probability is 0.666 x 0.4, or 0.266 (26.6%).
D) Unfortunate, I don’t know what the problem is asking, so I can’t answer this for you.
The answer you're looking for is 6.24
All you have to do is combine like terms here...all the x's and then all the constants. 2.3x + 2x -.2x = 4.1x; 14 + 15 = 29, so the perimeter is 4.1x + 29, A above.
