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Sonja [21]
3 years ago
14

Struggling with 15, any help would me appreciated

Mathematics
1 answer:
Neko [114]3 years ago
5 0
Y equals 48 because it’s a rise of 1 over 4
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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
Help with number two
BabaBlast [244]

Answer:

y = -2x+1

Step-by-step explanation:

We have a point and a slope, so we can use the point slope form of a line

y-y1 = m(x-x1)  where m is the slope and (x1,y1) is the point

y-3 = -2(x--1)

y-3=-2(x+1)

Distribute the 2

y-3 = -2x-2

Add 3 to each side

y-3+3 = -2x-2+3

y = -2x+1

This is in slope intercept form

7 0
3 years ago
Five times a number (n) subtracted from 50 is 15
PolarNik [594]
50 - 5n = 15

if you need to find the number n then
50 - 5n = 15
-5n = -35
  n = 7
5 0
3 years ago
Read 2 more answers
Reasoning If 1/2 of 1 is 1/2 what is 1/2 of 2,3 and 4
hichkok12 [17]

Answer:

half of 2 is 1, half of 3 is 1.5,half of 4 is 2.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
14)<br> Q<br> 28<br> ?<br> A) 112°<br> C) 50°<br> B) 65°<br> D) 125°<br> ASAP IM TAKING MY FINAL
lapo4ka [179]

Answer:

112

Step-by-step explanation:

I am not 100% sure because I can't see information given on the shape, but assuming it is equal angles

5 0
2 years ago
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