Answer:
C(n) = 4 n for all possible integers n in N. This statement is true when n=1 and proving that the statement is true for n=k when given that statement is true for n= k-1
Step-by-step explanation:
Lets P (n) be the statement
C (n) = 4 n
if n =1
(x+4)n = (x+4)(1)=x+4
As we note that constant term is 4 C(n) = 4
4 n= 4 (1) =4
P(1) is true as C(n) = 4 n
when n=1
Let P (k-1)
C(k-1)=4(k-1)
we need to proof that p(k) is true
C(k) = C(k-1) +1)
=C(k-1)+C(1) x+4)n is linear
=4(k-1)+ C(1) P(k-1) is true
=4 k-4 +4 f(1)=4
=4 k
So p(k) is true
By the principle of mathematical induction, p(n) is true for all positive integers n
I think it’s 216) because you do 6 times 6 then times that by 6
Answer:
Approximately 34 grams of the healthy food
Step-by-step explanation:
For know the minimum value to be eaten daily to provide the requirement of both vitamins, is necessary to calculate the minimum value for every vitamin, so:
- vitamin E: We are going to use the rule of three in which 1 gram have 7% of the minimum daily requirement, then how many grams are going to be be the 100% of the daily requirement:
1 gram --------------7%
X grams -----------100%

So, it is necessary approximately 15 grams of healthy food to complete th 100% of the minimum daily requirement of vitamin E.
- vitamin A: We are going to use the rule of three in which 1 gram have 3% of the minimum daily requirement, then how many grams are going to be be the 100% of the daily requirement:
1 gram --------------3%
X grams -----------100%

So, it is necessary approximately 34 grams of healthy food to complete th 100% of the minimum daily requirement of vitamin E.
Finally for satisfy with both minimum daily requirement, we need to eat at least 34 grams of healthy food, because it is the maximum between the two X values.
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Answer:
X will equal 30 degrees
Step-by-step explanation:
X will equal 30 degrees due to the rule of corresponding angles and that l1 and l2 are parallel with a transversal intersecting the parallel lines.
The angle of X and the angle of 30 degrees are corresponding angles.
Corresponding angles are equal to each other.
So X will also be 30 degrees.
I hope this answer helped and have a great day!