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oksian1 [2.3K]
3 years ago
7

Migration

Mathematics
1 answer:
Rina8888 [55]3 years ago
5 0

Answer:

200

Step-by-step explanation:

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What is the sum of the geometric series
lbvjy [14]
If S denotes the sum of the first n terms of a geometric series with first term a and common ratio r, then

S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}
rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n
\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n
\implies (1-r)S=a(1-r^n)
\implies S=a=\dfrac{1-r^n}{1-r}

Using summation notation, you have

S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}

In this case, you have a=2, r=\dfrac12, and n=16. So the value of the sum is

\displaystyle\sum_{x=0}^{15}2\left(\frac14\right)^x=2\dfrac{1-\left(\frac14\right)^{16}}{1-\frac14}\approx2.67

Rounded to the nearest whole number, the answer would be 3.
4 0
3 years ago
Read 2 more answers
Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large cups for $2.50. if ashley sold a to
Levart [38]
The answer is 98 small and 57 large cups.

s - the number of small cups
l - the number of large cups

<span>Ashley sold a total of 155 cups: s + l = 155
</span><span>Ashley earned</span><span>for $265: 1.25 * s + 2.50 * l = 265

</span>s + l = 155
1.25 * s + 2.50 * l = 265
________
s = 155 - l
1.25 * s + 2.50 * l = 265
________
1.25 * (155 - l) + 2.50 * l = 265
193.75 - 1.25 * l + 2.50 * l = 265
193.75 + 1.25 * l = 265
1.25 * l = 265 - 193.75
1.25 * l = 71.25
l = 71.25 / 1.25
l = 57

______
s = 155 - l
l = 57

s = 155 - 57
s = 98

5 0
3 years ago
6x-5y=17 solve the system
pantera1 [17]
6x-5y=17
-6x -6x
__________
-5y= -6x+17
______________
-5


y=
\frac{6}{5 } x +   \frac{17}{ - 5}
4 0
3 years ago
What is the answer (9+43-2)2-10-5 to the 2nd power
mylen [45]
This would =65. any more questions feel free to ask :) happy to help out
6 0
3 years ago
Please answer CORRECTLY for brainliest guarantee. If your answer is not correct or does not have a explanation I will report you
Scorpion4ik [409]

Answer:

c. 45.34ft

Step-by-step explanation:

When leg one of the triangle is 15ft and leg two is 17 ft you would take   17^2 + 15^2 and then you find the square root of that (514) to get the hypotenuse of the triangle. After that you multiply by two to account for the 2/2 sqaure foot per each unit

4 0
3 years ago
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