Answer:
see attached.
Step-by-step explanation:
kindly see attached.
The series is 2^(n-1) where n=1,2,3,4,...,62,63,64
We can adjust the index and write it as 2^n where n=0,1,2,3,4,...,61,62,63
The sum of the geometric series is:
<span> a1*(1 - r^n)/(1-r)
</span><span> where r is the common ratio in this case 2,
</span> a1 is the first term, in this case 1,
and n is the number of term, in this case 64
1*(1- 2^64) / (1-2) = 18446744073709551615
Dividing that by 7000
That's 2635249153387078 pounds or 1317624576693.5 tons
<span>grains of wheat on square 19:
1*(1- 2^19)/(1-2)=</span><span>
<span>524287.</span></span>
Step 1: divide numerator (5) by the denominator (9): 5 ÷ 9 = 0.5555555555555556
Step 2: add this value to the the integer part: 3 + 0.5555555555555556 = 3.5555555555555554. So,
3 5/9 = 3.5555555555555554
1. h - 16 ≤ 24
+ 16 + 16
h ≤ 30
Solution Set: {h|h ≤ 30}, (-∞, 30]
2. y + 6 ≥ -13
- 6 - 6
y ≥ -18
Solution Set: {y|y ≥ -18}, [-18, ∞)
3. -3 < n - 8
+ 8 + 8
5 < n
n > 5
Solution Set: {n|n > 5}, (5, ∞)
4. 3 ≤ m + 1.4
- 1.4 - 1.4
-1.6 ≤ m
m ≥ -1.6
Solution Set: {m|m ≥ -1.6}, [-1.6, ∞)
5. x + 0.7 > -0.3
- 0.7 - 0.7
x > -1
Solution Set: {x|x > -1}, (-1, ∞)
6. w - 8 ≥ 5.6
+ 8 + 8
w ≥ 13.6
Solution Set: {w|w ≥ 13.6}, [13.6, ∞)
(a): 18
(b): $792
Step-by-step explanation:
A: 900 - 576 = 324. 324/18 = 18.
18 * 18 = 324. 324 + 576 = 900.
B: 6 * 18 = 108. 900 - 108 = 792