<span>First, we determine the factors of 45. We can immediately note that 45 is the product of 9 and 5. Out of 9 and 5, 9 can further be expressed into the product of 3 and 3. The prime factorization therefore is,
45 = 3 x 3 x 5
Since the factors in the right-hand side of the equation are already prime numbers then, this factorization can no longer be written in simpler forms.</span>
2(5m+4)=2(3m-10)
10m+8= 6m-20
-6m -6m
4m+8= -20
-8 -8
4m= -28
m = -7
Answer:
(fоg)(x) = x
Step-by-step explanation:
f(x) = (x-1)/3
g(x)=3x+1
(fоg)(x) = f(g(x)) = ((3x+1)-1) / 3 = 3x / 3 = x
9514 1404 393
Answer:
- -2.2(6) +1.8(4) . . . temperature change
- 42 °C
Step-by-step explanation:
At the end of the first 6 hours, the temperature change was ...
(-2.2 K/h)(6 h) = -13.2 K
The change in the next 4 hours was ...
(1.8 K/h)(4 h) = 7.2 K
Then the total change over the 10-hour period was ...
(-2.2)(6) +(1.8)(4) . . . . . expression for temperature change
This evaluates to -13.2 +7.2 = -6.
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The final temperature is the sum of the initial temperature and the temperature change:
final temperature = 48 °C -6 °C = 42 °C
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<em>Additional comment</em>
When temperature is measured on the Celsius scale, a change of 1 degree is called a kelvin (K).
I believe it would be x=2i
:)