Answer:
1/2 and 9 is rational but 4 is not
Step-by-step explanation:
A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers.
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Answer:
a) The mass is released at t = 0 when h is minimum. Half a cycle later h reaches its maximum and another half a cycle it reaches its minimum again. Hence over one cycle, h varies with t as follows:
b) According to the graph obtained in part a), h(t) could be modeled by a cosine function shifted (translated) vertically up and horizontally to the right. Hence
Step-by-step explanation:
Answer:
The probability of getting 2 socks of the same color is 1/3.
Step-by-step explanation:
In the drawer,
Number of blue socks = 4
Number of white socks = 8
Number of gray socks = 4
Total number of socks = 4 + 8 + 4 = 16
Total ways to select 2 socks form 16 socks is

Total ways to select 2 socks of the same color is
T = Possible ways of (2 blue + 2 white +2 gray) socks
= 
= 
= 
The probability of getting 2 socks of the same color is



Therefore, the probability of getting 2 socks of the same color is 1/3.
Answer:
7x⁴ + 5x³ + 7x² + 6x + 5
Step-by-step explanation:
The given expression is
(5x4 + 5x3 + 4x - 9) + (2x4 + 7x2 + 2x + 14)
The first step is to open the brackets by multiplying each term inside each bracket by the term outside each bracket. Since the term outside each bracket is 1, the expression becomes
5x⁴ + 5x³ + 4x - 9 + 2x⁴ + 7x² + 2x + 14
We would collect like terms by combining each term with the same exponent or raised to the same power. The term would be arranged in decreasing order of the exponents. It becomes
5x⁴ + 2x⁴ + 5x³ + 7x² + 4x + 2x - 9 + 14
7x⁴ + 5x³ + 7x² + 6x + 5