Answer:
The answer is 2
Step-by-step explanation:
To find this, follow the order of operations as laid out below.
120(2x - 2) = 240 ----> Divide both sides by 120
2x - 2 = 2 ----> Add 2 to both sides
2x = 4 ------> Divide both sides by 2
x = 2
Answer:
SOH-CAH-TOA
~~~~~~~~~~
H= 
O= 5
A= 9
~~~~~~~~~~~~~~~~
Sin = 
Cos= 
Tan = 
Step-by-step explanation:
Answer: B, C, E
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The difference between consecutive terms (numbers that come after each other) in arithmetic sequences is the same. That means you add the same number every time to get the next number. To figure out which choices are arithmetic sequences, just see if the differences are the same.
Choice A) 1, -2, 3, -4, 5, ...
-2 - 1 = -3
3 - (-2) = 5
The difference is not constant, so it is not an arithmetic sequence.
Choice B) 12,345, 12,346, 12,347, 12,348, 12,349, ...
12,346 - 12,345 = 1
12,347 - 12,346 = 1
The difference is constant, so it is an arithmetic sequence.
Choice C) <span>154, 171, 188, 205, 222, ...
171 - 154 = 17
188 - 171 = 17
The difference is constant, so it is an arithmetic sequence.
Choice D) </span><span>1, 8, 16, 24, 32, ...
8 - 1 = 7
16 - 8 = 8
</span>The difference is not constant, so it is not an arithmetic sequence.
Choice E) <span>-3, -10, -17, -24, -31, ...
-10 - (-3) = -7
-17 - (-10) = -7
</span>The difference is constant, so it is an arithmetic sequence.
A 3x+3c
B 9x^2+12x
C -4ab+24a
D 3x-6
E 3x+3
F (x+1)(2x+3)
G x^2+x-6
H 6x^2-31x+18
I 6x-8y+11
J 2x^3+11x^2+17x+6
M=12
40
44
20
250/11
Last one is 33
Answer:
16/25 = 0.64 = 64%
Step-by-step explanation:
If we want the probability of Fiona waking up before 8am for at least one of the days, we can calculate the probability of she not waking up 8am in both days, and then we do 1 minus this probability.
The probability of she not waking up 8am in one day is (1 - 2/5) = 3/5
The probability of she not waking up 8am in both days is 3/5 * 3/5 = 9/25
So, the probability of Fiona waking up before 8am for at least one of the days is (1 - 9/25) = 16/25 = 0.64 = 64%
