Answer:
125 times bigger.
Step-by-step explanation:
A great way to visualize this problem is to think of it as a volume problem itself. Another good way to think about it is to plug in numbers in its place.
Way #1
5*5*5 (or 5^3)=125
Way #2
(2*2*2)=8
(2*5)*(2*5)*(2*5)=1000
1000/8=125
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
Answer:
383.5
Step-by-step explanation:
the tenth is the first number right of the decimal point
We are given the expression B=3Mn/2 and told to express M in terms of B and n. This means that we should apply mathematical operations on both sides of the equation so we "isolate " M on one side of the equality sign. We begin with the given equation
First, we multiply both sides by 2, so we get
Next, we divide by 3 on both sides, so we get
Finally, we divide both sides by n, so we get
In this case, we have succesfully expressed M in terms of B and n
W is 3.5/2 in fraction and 1.75 ind decimal
