Answer:
2 marbles
Step-by-step explanation:
Lana has 3 bags with x marbles in each bag totaling 12 marbles
3x=12
Divide by 3
3x/3 =12/3
x =4
Each bag has 4 marbles
Markus has 3 bags with y marbles totaling 18 marbles
3y =18
Divide each side by 3
3y/3 =18/3
y =6
Each bag has 6 marbles
6-4 =2
There are 2 more marbles in Markus' bags than in Lara's
Volume of cone is (1/3)π r² h.
So since diameter is 18 inches, radius is 9 inches, right?
So just plug in values and calculate;
V = (1/3)·π·9²·14
= 378π
≈ 1187.52
Answer:
C
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since there is no single number we can add to one number in the sequence to get to the next one, this is not arithmetic. That means it's geometric, if it's a sequence at all. To get from 2 to 6 we multiply by 3. To get from 6 to 18 we multiply by 3. To get from 18 to 54 we multiply by 3. Therefore, this is in fact geometric and the common ratio is 3. The standard form of a geometric explicit formula is
where n is the position of a number in the sequence, a1 is the first number in the sequence, and r is the common ratio. We have then
a1 = 2 and r = 3. Therefore, the explicit formula is
and you can use this to find the value of any number in the sequence. Very handy; much more so than the recursive formula, which requires that all the numbers in a sequence be found in order in order to get to a desired value.
Zac maloy, espen lind, amund bjorklund.
