Log (7/4) is equivalent to log (7.7/4.4), therefore it's log(7.7) - log(4.4), or...
2.0142 - 1.4816 = 0.5326
The answer to this would be 60 boxes of socks
Step-by-step explanation:
the positive integer numbers that are divisible by 7 are an arithmetic sequence by always adding 7 :
a1 = 7
a2 = a1 + 7 = 7+7 = 14
a3 = a2 + 7 = a1 + 7 + 7 = 7 + 2×7 = 21
...
an = a1 + (n-1)×7 = 7 + (n-1)×7 = n×7
the sum of an arithmetic sequence is
n/2 × (2a1 + (n - 1)×d)
with a1 being the first term (in our case 7).
d being the common difference from term to term (in our case 7).
how many terms (what is n) do we need to add ?
we need to find n, where the sequence reaches 200.
200 = n×7
n = 200/7 = 28.57142857...
so, with n = 29 we would get a number higher than 200.
so, n=28 gives us the last number divisible by 7 that is smaller than 200 (28×7 = 196).
the sum of all positive integers below 200 that are divisible by 7 is then
28/2 × (2×7 + 27×7) = 14 × 29×7 = 2,842
Answer:
16) 2
17) -5
18) doesn't exist
19) doesn't exist
20) doesn't exist
21) 3
22) 4
23) 6
Step-by-step explanation:
16) as you move towards -9, the function adopts the value 2
17) as one moves towards x = -6 , from both sides (right and left) the function goes to the value -5
18) As one moves towards x = -4 (from the right and from the left, the functions seems to diverge towards + ∞. So normally the convention for limits stipulates: Undefined or Doesn't exist
19) f(-4) doesn't exist (for same reasons as above (there is a singularity here)
20) As one moves towards 2 from the right, the function gets towards the value 3, while approaching from the left the function goes towards the value 5. So formally we say that the limit doesn't exist (from the left and from the right limits don't agree)
21) f(2) is the well defined value of 3
22) approaching x= 4 from the right and from the left both lead towards the value 4.
23) f(4) is 6
