Answer:
6.0 miles
Step-by-step explanation:
The sequence of distances is a geometric sequence with first term a1 and common ratio (1 +10%) = 1.10. The sum of 7 terms of the sequence is ...
S7 = a1·(r^7 -1)/(r -1)
56.923 = a1·(1.1^7 -1)/(1.1 -1)
5.6923 = a1·0.9487171
Dividing by the coefficient of a1 gives its value:
5.6923/0.9487171 ≈ 5.999997 ≈ 6.000
The hiker traveled 6.0 miles on the first day.
9514 1404 393
Answer:
Step-by-step explanation:
The first term is 2, so part of the recursive definition is ...
f(1) = 2
The common ratio is 6/2 = 3, so each term is 3 times the previous one. That part of the recursive definition is ...
f(n) = 3·f(n -1)
These two parts of the definition match choice C.
Answer:
11
Step-by-step explanation:
AB = 3x + 4 and AC which is twice of AB is equal to 11x - 17
2 (3x + 4) = 11x - 17
6x + 8 = 11x - 17
8 + 17 = 11x - 6x
25 = 5x
5 = x
AC = CD = 11x - 17 ➡ 11×5 - 17 = 38
CD = 38 and DE = 49 - 38 = 11
Answer:
68 ounces
Step-by-step explanation:
Most drink containers in the United States are usually known as 2 Litres bottle.
Now, let's convert this 2 litres to cubic centimeters.
1 litre is equal to 1000 cm³
So, 2 Litres = 2000 cm³
Since there are 29.6 cm³ per fluid ounce, thus amount of ounces held by the typical cup in america = 2000/29.6 = 67.57 ounces ≈ 68 ounces
Answer: 0.720
Step-by-step explanation:
0.720 = 18/25
0.51 = 51/100
0.144 = 18/125
0.023 = 23/1000
