9514 1404 393
Answer:
- partial products: 0.25, 1.5, 0.50, 3
- Zoe spent $5.25 on apples
Step-by-step explanation:
The partial products are apparently derived by multiplying parts of each value on either side of the decimal point:
1.5 × 3.50 = (1 + 0.5)(3 + 0.50) = 1×3 + 0.5×3 +1×0.50 +0.5×0.50
= 3 + 1.5 + 0.50 + 0.25 . . . . . partial products
Their sum is ...
3 + 1.5 + 0.50 + 0.25 = 5.25
Zoe spent $5.25 on apples.
All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term a and common ratio |r| < 1. Then the n-th partial sum (the sum of the first n terms) of the sequence is
Multiply both sides by r :
Subtract the latter sum from the first, which eliminates all but the first and last terms:
Solve for :
Then as gets arbitrarily large, the term will converge to 0, leaving us with
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18
If you use the distance formula you get 10.
Answer:
8.83 x 10^-5 grams
Step-by-step explanation:
3.7 x 10^-6 grams of carbon power
0.000092 grams of ammonium carbonate
0.000092 = 9.2 x 10^-5
3.7 x 10^-6 = 0.37 x 10^-5
The difference:
(9.2 x 10^-5 ) - (0.37 x 10^-5)
= (9.2 - 0.37) x 10^-5
= 8.83 x 10^-5
