Answer:
x=1
y=2
Step-by-step explanation:
Multiply the second equation by 2
and then solve!
Answer:
3.9 units
Step-by-step explanation:
We are given that,
Time taken by each swing = 2.2 seconds
The pendulum formula is given by, 
, where T is the time taken and L is the length of the swing.
So, we have,
i.e. 
i.e. 
i.e. 
i.e. 
i.e. 
i.e. 
i.e. L = 3.923 units
So, rounded to tenths, the length of the swing is 3.9 units.
Answers:
- Red = 1/3
- Yellow = 7/15
- Blue = 1/5
====================================================
Explanation:
Add up all the frequencies in the table to see that there are 120+168+72 = 360 spins total.
- Of those 360 spins, 120 of them land on red. The probability of landing on red is 120/360 = (120*1)/(120*3) = 1/3
- Since 168 land on yellow, this means the probability of landing on yellow is 168/360 = (24*7)/(24*15) = 7/15
- Lastly, we have 72 occurrences of blue out of 360 total spins. The probability of landing on blue is 72/360 = (72*1)/(72*5) = 1/5
When the bases are diffenrent and the exponents of a and b are the same, we can multiply a and b first:
a n ⋅ b n = (a ⋅ b) n
Example:
32 ⋅ 42 = (3⋅4)2 = 122 = 12⋅12 = 144
When the bases and the exponents are different we have to calculate each exponent and then multiply:
a n ⋅ b m
Example:
32 ⋅ 43 = 9 ⋅ 64 = 576
