The problem can be solved step by step, if we know certain basic rules of summation. Following rules assume summation limits are identical.
Armed with the above rules, we can split up the summation into simple terms:
=> (a)
f(x)=28n-n^2=> f'(x)=28-2n
=> at f'(x)=0 => x=14
Since f''(x)=-2 <0 therefore f(14) is a maximum
(b)
f(x) is a maximum when n=14
(c)
the maximum value of f(x) is f(14)=196
I am confident that the answer is C. 53.7
The union of two sets<span> A and B is the </span>set<span> of elements which are in A, in B, or in both A and B. In symbols, . For example, if A = {1, 3, 5, 7} and B = {1, </span>2<span>, 4, 6} then A ∪ B = {1, </span>2<span>, 3, 4, 5, 6, 7}.
The intersection of 2 sets depict elements that appear in both sets (all elements in B that also appear in A). In the Venn diagram, the intersection of the sets are always in the middle of both sets. I attached a photo to show you the perfect example of the intersection of sets.
I hope it helps :)</span>
Hello, and thank you for posting your question here on brainly.
There is 1 decameter in 0.01 kilometers.
When there is 4.5 kilometers, there is 450 decameters.
Hope this helps! ☺♥
If the triangles are similar then the angles in both are equal. Let's look at each set individually:
(1) Triangle 1: 25°, 35°
Triangle 2: 25°, 120°
Now it may be hard to tell if the triangles are similar at the moment so we must calculate the third angle in each triangle (The angles in a triangle add up to 180°, therefor the missing angle = 180 - (given angle 1 + given angle 2)
Triangle 1: 180 - (25 + 35) = 120°
Triangle 2: 180 - (25 + 120) = 35°
Now writing out the set of angles again we have:
Triangle 1: 25°, 35°, 120°
Triangle 2: 25°, 120°, 35°
So in fact Triangle 1 and 2 are similar.
Now we can repeat this process for (2) - (5):
(2) Triangle 1: 100°, 60°, 20°
Triangle 2: 100°, 20°, 60°
This pair is also similar
(3) Triangle 1: 90°, 45°, 45°
Triangle 2: 45°, 40°, 95°
This pair is not similar
(4) Triangle 1: 37°, 63°, 80°
Triangle 2: 63°, 107°, 10°
This pair is not similar
(5) Triangle 1: 90°, 20°, 70°
Triangle 2: 20°, 90°, 70°
This pair is similar
Therefor pairs (1), (2) and (5) are similar
