Answer:
C. 17 feet
Step-by-step explanation:
I apologize if this is inaccurate, as I have not done this material in awhile. But, I hope it helps and is accurate! Have a great day! :D
Answer:
-7/2y
Step-by-step explanation:
cancel out the Z's than youre left with -7/2y :}
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 <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is
Multiply both sides by <em>r</em> :
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
Answer:
C
Step-by-step explanation:
The first equation has to be the ratio of raisins to sunflower seeds. If r is raisins and p is sunflower seeds and there are 3 times as many raisins as sunflower seeds then the first equation must be 3r=p
The second equation should model the prices properly. Raisins are 1.5 per pound and sunflower seeds are 4 per pound, because of this we should have 1.5r (r being each pound of raisins) and 4p (p being each pound of sunflower seeds). From this we know the second equation must be 4p+1.5r=34
9514 1404 393
Answer:
- 48°
- 60°
- 72°
Step-by-step explanation:
The sum of ratio units is 4+5+6 = 15, so each unit stands for 180°/15 = 12°. Multiplying the ratio units by 12° gives the angle values:
4×12° : 5×12° : 6×12° = 48° : 60° : 72°
Angles 1 to 3 are 48°, 60°, 72°, respectively.
