Answer:
5.33
Step-by-step explanation:
move the 4 out of the summation because just a constant multiplier
4 *sum from 1 to 10 for (1/4)^(n-1) [sorry i don't know how to write sums using latex)
The formula for the geometric sum is :
First term*(1-multiplier^n)/(1-multiplier), formally ![\frac{a_1(1-r^n)}{1-r}](https://tex.z-dn.net/?f=%5Cfrac%7Ba_1%281-r%5En%29%7D%7B1-r%7D)
Here multiplier is 1/4
First term is (1/4)^(1-1) = 1
Thus the value of sum is
which equals ![(1- (1/4)^1^0)*4/3](https://tex.z-dn.net/?f=%281-%20%281%2F4%29%5E1%5E0%29%2A4%2F3)
We factored out 4 so its
which is ![16/3 * (1- (1/4)^1^0)](https://tex.z-dn.net/?f=16%2F3%20%2A%20%281-%20%281%2F4%29%5E1%5E0%29)
This equals 5.333328247 which is 5.33 to the nearest hundredth
Answer:
The ancient Babylonians calculated the area of a circle by taking 3 times the square of its radius, which gave a value of pi = 3. The first calculation of π was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world.
Answer:
y - 13 = 3(x - 5)
Step-by-step explanation:
x represents week and y represents inches. Week 2 and week 5 = 2 to 5 = three number difference. The inches which is 4 and 13 have a 9 inched difference. So like I said week represents x and y represent inches so now u have to find the slope, which would be y/x so replace it with the numbers we got so it would now be 9/3. The simplified version would be 3. So the slope is 3.
Point-slope equation: y-y^1=m(x-x^1), y^1 and x^1 are just some random points on the graph, but since we don't have a graph we can use either week 2 and 4 inches or week 5 and 13 inches because if this were a graph, those would be existing points on the graph. And m is the slope so just replace m with 3. We'll use 5 and 13 so: y - 13 = 3(x - 5)
side note: kinda took a long time sorry haha, I had to refresh my knowledge on point-slope equations since it's been a long time since i learned it.
Answer:
its 14
Step-by-step explanation: i assumed 2 7 meant multiply sorry if wrong
Answer:
It would be C.
Step-by-step explanation:
Dave has 4 times as many figures as Ben. Ben has y action figures, so it would be 4y. Then Jeff has 5 more action figures than Dave which would be addition, all together it would be (4y+5) more action figures) I hope that helps