1. 300 T-shirt in 10 Minutes, thus: 300/10=30 T-shirts per minute.
3. 2 Liters in 10 seconds, thus: 2/10 = 0.2 Liters or 2 deciliters each second
4. Bill is paid $200 for 5 days, thus, $200/5 = $40 per day.
Answer:
Step-by-step explanation:
Area = 1/2 * 10 * 4 = 20 <span>sq. inches
</span><span>B. 20 sq. inches</span>
Two fractions are called equivalent if they have the same numeric value. ... To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier. ... Combine the numerators together, put the sum or difference over the common denominator then reduce to ...
Answer:
a) -8/9
b) The series is a convergent series
c) 1/17
Step-by-step explanation:
The series a+ar+ar²+ar³⋯ =∑ar^(n−1) is called a geometric series, and r is called the common ratio.
If −1<r<1, the geometric series is convergent and its sum is expressed as ∑ar^(n−1) = a/1-r
a is the first tern of the series.
a) Rewriting the series ∑(-8)^(n−1)/9^n given in the form ∑ar^(n−1) we have;
∑(-8)^(n−1)/9^n
= ∑(-8)^(n−1)/9•(9)^n-1
= ∑1/9 • (-8/9)^(n−1)
From the series gotten, it can be seen in comparison that a = 1/9 and r = -8/9
The common ratio r = -8/9
b) Remember that for the series to be convergent, -1<r<1 i.e r must be less than 1 and since our common ratio which is -8/9 is less than 1, this implies that the series is convergent.
c) Since the sun of the series tends to infinity, we will use the formula for finding the sum to infinity of a geometric series.
S∞ = a/1-r
Given a = 1/9 and r = -8/9
S∞ = (1/9)/1-(-8/9)
S∞ = (1/9)/1+8/9
S∞ = (1/9)/17/9
S∞ = 1/9×9/17
S∞ = 1/17
The sum of the geometric series is 1/17
