This is a cube root, so we look for factors of 162 which are perfect cubes.
Find the prime factors of 162:-
162 = 2 * 3 * 3 * 3* 3
27 = 3^3 is a perfect cube
162 = 6 * 27
so ^3√ 162 = ^3√6 * ^3√27 = ^3√6 * 3
so the simplest form is 3 ^3√6
The set X is convex.
In geometry, a subset of an affine space over the real numbers, or more broadly a subset of a Euclidean space, is said to be convex if it contains the entire line segment connecting any two points in the subset. A solid cube is an example of a convex set, whereas anything hollow or with an indent, such as a crescent shape, is not. Alternatively, a convex region is a subset that crosses every line into a single line segment.
b)The set X is convex as any two points on the set X is included in the whole set as x>0. So a line joining any two points on the set X is completely inside the set x.
c)set X is not a closed set as the compliment of the set is not an open set.
d)Set X is not bounded. If a set S contains both upper and lower bounds, it is said to be bounded. A set of real numbers is therefore said to be bounded if it fits inside a defined range. hence set x is not bounded.
To learn more about convex sets:
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This can be found by finding 44 chosen 5 at a time times 1/32.
That would be
44! / (44-5)!(5!) * 32 =
1 chance in 34,752,256
Answer:
y=
Step-by-step explanation:
Because of the slope, we would assume that it is 1/2 because when you use rise over run, the graph rises 1 unit up and shifts 2 units to the right. The -2 is where the y-intercept is (0, -2) based on the picture seen above. The slope is also positive where it is going up instead of going down.
D. 20/3 I think it’s the answe