Answer:
50
Step-by-step explanation:
and can be expressed in complex form, with = i
= = × = 8i
= = × = 4i
the factors can then be expressed as
(6 + 8i)(3 - 4i) ← expand using FOIL
= 18 - 24i + 24i - 32i² [ i² = ( )² = - 1 ]
= 18 - 24i + 24i + 32 ← collect like terms
= 18 + 32 + 0
= 50
I'm guessing that [10] refers to the set of the first 10 positive integers.
If the largest element of a given 4-permutation is 6, then the other three elements are pulled from the set {1, 2, 3, 4, 5}. This can be done in 5!/(5 - 3)! = 60 ways. Then there are four possible positions to place the 6, giving a total of 4 * 60 = 240 permutations.
If the largest element of a permutation is *at most* 6, then the maximal element is 4, 5, or 6.
- If it's 4, then there are three other elements available; this can be done in 3!/(3 - 3)! = 6 ways; multiply by 4 to get a total of 24;
- If it's 5, then there are four other elements available, hence 4!/(4 - 3)! = 24 ways; multiply by 4 to get a total of 96;
- If it's 6, then the total is 240.
Putting everything together, the total number of permutations in which the maximal element is at most 6 is 24 + 96 + 240 = 360.
OK so it's telling us to order it from least to greatest, WHICH MEEAANNS we start with the lowest possible number listed. ( I'm gonna turn the fractions into decimals just to make this easier. )
SO, we have:
-1.8 -- 1 -- 1.4 -- 1.9 -- -1.25
Ofc first we start with the negative numbers.
-1.8 and -1.25
( We're just gonna add an extra zero to 1.8 so we can see which is less )
SO, which is less -1.80 or -1.25
NOW REMEMBER negative numbers are different from positive, they get ranked in the opposite way. WHICH MEANS -1.80 is LESS than -1.25 BECAUSE -1.80 is farther from 0 than -1.25 is. Next is the positive numbers:
1 -- 1.4 -- 1.9
Now, this is the easy part. 1 is the least out of the positive numbers listed, then 1.4 then 1.9! Which makes the order:
-1.8 ---- -1.25 ---- 1 ---- 1 2/5 ---- 1 9/10
Answer:
A. Reflectional symmetry
Step-by-step explanation:
If the shape is the same characteristics after being reflected, then it is A.
Answer:
Equality Sign
Step-by-step explanation:
A child may be at educational risk if he is unable to use the equality sign as it is the basis for comparison of numbers.
Once a child can determine if two numbers are the same, we can then proceed to introduce comparisons of numbers. That is, either it is more than a stated number or less.
For example,
If number of apples=6, a child who understands this will know if 5 apples are less or more as appropriate.