9514 1404 393
Answer:
32
Step-by-step explanation:
The first term is 5 and the common difference is 9-5=4, so the n-th term is ...
an = a1 +d(n -1)
an = 5 +4(n -1) = 4n +1
Then the term number for the term 129 is ...
129 = 4n +1 . . . . . put the given value in the formula
128 = 4n . . . . . . . subtract 1
32 = n . . . . . . . . . .divide by 4
The 32nd term is 129.
$8 + $7 + $13 + 15 = $43
$x - $43 = $12
x = $55
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Answer:
Extra snow needed > 0. 3 inch
Step-by-step explanation:
Given that:
Cancelation occurs when > 2.5 inch of snow accumulates each hour
Accumulation rate = 11/5 inch per hour
Extra snow Accumulation needed to cancel. School ;
Extra snow needed > cancelation volume - current rate
Extra snow needed > (2.5 - 11/5)
Extra snow needed > 0. 3 inch
If in 2 hours he read 200 pgs then in 1 hour will be 50 pgs
The area between the two functions is 0
<h3>How to determine the area?</h3>
The functions are given as:
f₁(x)= 1
f₂(x) = |x - 2|
x ∈ [0, 4]
The area between the functions is
A = ∫[f₂(x) - f₁(x) ] dx
The above integral becomes
A = ∫|x - 2| - 1 dx (0 to 4)
When the above is integrated, we have:
A = [(|x - 2|(x - 2))/2 - x] (0 to 4)
Expand the above integral
A = [(|4 - 2|(4 - 2))/2 - 4] - [(|0 - 2|(0 - 2))/2 - 0]
This gives
A = [2 - 4] - [-2- 0]
Evaluate the expression
A = 0
Hence, the area between the two functions is 0
Read more about areas at:
brainly.com/question/14115342
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