Prove:
Using mathemetical induction:
P(n) = 
for n=1
P(n) = 
= 6
It is divisible by 2 and 3
Now, for n=k, 
P(k) = 
Assuming P(k) is divisible by 2 and 3:
Now, for n=k+1:
P(k+1) = 
P(k+1) = 
P(k+1) = 
Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also
divisible by 2 and 3.
Hence, by mathematical induction, P(n) = is divisible by 2 and 3 for all positive integer n.
If there’s a total of 210 fruit trees, and each tree produces 590 pounds a year, you multiply both those numbers and get 123,900 pounds a year.
The square is 130 in squared and the other shape is 54 in squared. If you're looking for the sum of the whole thing, its 185 in squared.
square: 13*10=130
triangle: 7*4= 28/2=14
rectangle: 10*4=40
Answer:
Angle A
Step-by-step explanation:
a is greater than b, which is greater than c
a triangle has 180 degrees
so 180-90 is 90
90-60 is 30
a>b>c
90>60>30
this would be a right triangle since one of the angles is 90 degrees
Answer:
1.1352 L
Step-by-step explanation:
L = qt 1.0567
qt = 0.946 L
1:4 = 5
0.946/5 = 0.1892 L one part
0.1892 x 11 = 2.0812 11 parts as 1+10 =11
Answer therefore is subtracting 5 from 11 parts to get the final 6 parts added = 2.0812 - 0.946
= 1.1352 L
