<span>the sequence is geometric, with the common ratio being 1/6 (48 * 1/6 = 8
The formula for a geometric sequence is cr^n where "c" is a constan</span>t <span> and "r" is the common ratio
=48(1/6)^n.
A geometric series converges only if the absolute value of the common ratio is < It diverges if the ratio is >or equal to 1.
the ratio is 1/6, so the sequence converges.
Now in this case, the limit seems to approach 0,
values can only keep getting smaller.
If the limit approaches 0, then the series will converge to a definite sum
S = c / (1 - are)
S = 48 / (1 - 1/6)
S = 57.6
series converges, has a limit of 0,
sum of 57.6.
hope this helps</span>
Answer:
2(4x + 1)(x + 1)
Step-by-step explanation:
Given
8x² + 10x + 2 ← factor out 2 from each term
= 2(4x² + 5x + 1)
To factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × 1 = 4 and sum = + 5
The factors are + 1 and + 4
Use these factors to split the x - term
4x² + x + 4x + 1 ( factor the first/second and third/fourth terms )
= x(4x + 1) + 1 (4x + 1) ← factor out (4x + 1)
= (4x + 1)(x + 1), thus
4x² + 5x + 1 = (4x + 1)(x + 1) and
8x² + 10x + 2 = 2(4x + 1)(x + 1) ← in factored form
In a week, the parlor would make about $300 from milkshakes
The total amount the ice cream parlor makes in a week is dependent is the product of the number of days in a week , the number of milkshakes sold in a day and the price of a milkshake.
Total amount = number of milkshakes sold in a week x price of a milkshake
There are 7 days in a week, in a week the parlor would sell : 11 x 7 = 77 milkshakes
price of a milkshake = $3.99
77 x $3.99 = $307.23
A similar question was solved here: brainly.com/question/14090575?referrer=searchResults
Answer:
$0.75
Step-by-step explanation:
convert 5000 milligrams to grams which is 5.
Then multiply 5 by 0.15 to get the price which is 0.75
Answer:
192+128+112+36=468 not really sure if this is the answer
