Answer:
C
Step-by-step explanation:
The standard form for the explicit formula of a geometric sequence is given by:
Where a is the initial term, r is the common ratio, and n is the nth term.
Our sequence is: 8, 4, 2, 1...
So, we can see that our initial term or a is 8.
Each subsequent term is half of the previous one. So, our common ratio is 1/2.
Let's substitute 8 for a and 1/2 for r to acquire:
So, our answer is C.
And we're done!
Answer:
- 12.5 ounces of 12% alloy
- 37.5 ounces of 24% alloy
Step-by-step explanation:
Let x represent the amount (in ounces) of 24% alloy in the mix. Then the amount of 12% alloy is (50 -x). The amount of silver in the mix is ...
24%·x + 12%·(50 -x) = 21%·50
12x = 450 . . . . . . simplify, multiply by 100 (to eliminate %), and subtract 600
x = 37.5 . . . . . . . divide by 12
The jeweler needs to mix 37.5 ounces of 24% silver alloy with 12.5 ounces of 12% silver alloy to make 50 ounces of 21% silver alloy.
Answer: (2,30), (5,66)
Step-by-step explanation: I truly don’t know if this is correct, but at the beginning, the crystal was already 6 mm. She then realized it increased 12 mm every hour, so if one hour passed, it would be 12+6= 18. Okay, so now that we know that, we multiple the hours by 12 and then add the 6.
12x2= 24
24+ 6= 30,
12x5= 60
60+6= 66
We'll assume that there is an equal probability of any position on the wheel, so a 
chance for any given number.
We must take the probability of getting a 27, then the probability of getting a 15, and multiply them together to find the chances that they both happen in a row.
