Answer:
Step-by-step explanation:
9^8 to 9^10 involves a change (multiplication) of 9^8 by 9^2 (which is 81).
Over the given interval, f(x) increases by 81.
Answer:
70 times
Step-by-step explanation:
5 consecutive even integers: 2n, 2n+2, 2n+4, 2n+6, 2n+8 for any integer n The sum of the two smallest of five consecutive even integers is 50 less than the sum of the other three integers: 2n + 2n+2 = 2n+4 + 2n+6 + 2n+8 - 504n + 2 = 6n -3234 = 2nn = 17 The smallest integer in our sequence is 2n = 2*17 = 34 Check:2n + 2n+2 = 2n+4 + 2n+6 + 2n+8 - 5034 + 36 = 38 + 40 + 42 - 5070 = 120 - 5070 = 70
Notice that the denominator is a multiplied by 2 for each fraction.
1/1•2 = 1/2
1 /2•2 = 1/4
1/4•2 = 1/8
1/8•2 = 1/16
1/16•2 =1/32
The next size is 1/32.
Answer:
one hundred twenty million five hundred forty thousand