Answer: 8.67 x 
Step-by-step explanation: To write a number in scientific notation, first write a decimal point in the number so that there is only one digit to the left of the decimal point. In this problem, we can write 8,670,000,000 as 8.670000000. Notice that there is only one digit to the left of the decimal point. Next, we count the number of places the decimal point would need to move to get back to our starting number which is 8,670,000,000. In this case, the decimal point would need to move 9 places to the right in order to get back to our original number. This would make our exponent positive 9 because we would need to move to the right 9 places. Lastly, we can drop any zeroes that are at the end of the decimal. Therefore, 8,670,000,000can be written in scientific notation as 8.67 x .
Step-by-step explanation:
let the total charge be y
and the number of rose be x
Florist A charges
y=40+4.75x---------1
Florist B charges
y=25+5.2x--------2
to solve for the number of roses we need to equate 1 and 2
40+4.75x=25+5.2x
40-25=5.2x-4.75x
15=0.45x
x=15/0.45
x=33.33
The number of roses that will be less expensive to order from A is 33.33
Answer:
Given the series,
∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1
I think the series is summation from n = 1 to ∞ of -4(-1/2)^(n-1)
So,
∑ − 4 ( − ½ )^(n − 1). From n = 1 to ∞
There are different types of test to show if a series converges or diverges
So, using Ratio test
Lim n → ∞ (a_n+1 / a_n)
Lim n → ∞ (-4(-1/ 2)^(n+1-1) / -4(-1/2)^(n-1))
Lim n → ∞ ((-4(-1/2)^(n) / -4(-1/2)^(n-1))
Lim n → ∞ (-1/2)ⁿ / (-1/2)^(n-1)
Lim n→ ∞ (-1/2)^(n-n+1)
Lim n→ ∞ (-1/2)^1 = -1/2
Since the limit is less than 0, then, the series converge...
Sum to infinity
Using geometric progression formula
S∞ = a / 1 - r
Where
a is first term
r is common ratio
So, first term is
a_1 = -4(-½)^1-1 = -4(-½)^0 = -4 × 1
a_1 = -4
Common ratio r = a_2 / a_1
a_2 = 4(-½)^2-1 = -4(-½)^1 = -4 × -½ = 2
a_2 = 2
Then,
r = a_2 / a_1 = 2 / -4 = -½
S∞ = -4 / 1--½
S∞ = -4 / 1 + ½
S∞ = -4 / 3/2 = -4 × 2 / 3
S∞ = -8 / 3 = -2⅔
The sum to infinity is -2.67 or -2⅔
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Step-by-step explanation: PHEW THAT TOOK A WHILE LOL IM A FAST TYPER</h2>
Answer:
8.5
Step-by-step explanation:
it would technically round to 9, but given the answer choices its A) 8
Um the fraction form of .4242 is <span>0.4242= <span>2121/5000</span></span><span><span>0</span><span>
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