The union (∪) of sets includes all unique elements from both sets.
From X = {3,4,5,6} and Y = {1,2,3,8}, their union is {1,2,3,4,5,6,8}.
The power set P(A) of a set A with n elements has 2^n elements.
Here, A = {a, b, c, d, e} has 5 elements, so n = 5.
The number of elements in P(A) is 2^5 = 32.
Every matrix has an additive inverse, which is the matrix with all elements negated.
Not every matrix has a multiplicative inverse (only square, non-singular ones do).
To convert kilometers per hour (km/h) to meters per second (m/s), multiply by 1000/3600:
72 km/h = 72 × (1000/3600)
= 72 × 5/18
= 20 m/s
To find the number of good apples, you can subtract the number of bad apples from the total number of apples.
First, calculate the number of bad apples:
2/9 of 27 = (2/9) × 27 = 6
So, there are 6 bad apples.
To find the number of good apples, subtract the bad apples from the total:
27 - 6 = 21
Therefore, there are 21 good apples.
High temperatures:
Monday = 75°F
Tuesday = 82°F
Wednesday = 78°F
Thursday = 84°F
Friday = 81°F
Total = 75 + 82 + 78 + 84 + 81 = 400°F
Mean = Total ÷ Number of days = 400 ÷ 5 = 80°F
48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
64: 1, 2, 4, 8, 16, 32, 64
120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The highest common factor (HCF) among these numbers is: 8
Converting all to decimals:
7:9 = 0.777
2:3 = 0.666
5:6 = 0.833
3:4 = 0.75
Correction: Correct answer: 5:6
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