Answer:
225
Step-by-step explanation:
The sum of this series is given by the formula:
![S_n=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Where
S_n is the sum
a is the first term (we get this by plugging in n = 1 into "2n-1", we have 2(1) - 1 = 1)
n is the number of terms (the sum is defined for n = 1 to n = 15, so 15 terms)
d is the common different (the difference is successive terms. Here, 2nd term would be 2(2) - 1 = 3, and first term was 1, so d = 3 -1 = 2)
<em>plugging in the info, we will get the sum:</em>
<em>![S_n=\frac{n}{2}[2a+(n-1)d]\\S_{15}=\frac{15}{2}[2(1)+(15-1)(2)]\\=225](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D%5C%5CS_%7B15%7D%3D%5Cfrac%7B15%7D%7B2%7D%5B2%281%29%2B%2815-1%29%282%29%5D%5C%5C%3D225)
</em>
<em>The sum is 225</em>
The solution to the problem is as follows:
Given: 2.5 lb
Asked: 2.5 lb -----> kg
Answer:
2.5 lb * ( 1 kg/2.2 lb) = 1.1 kg
Therefore, the weight of the book in kg is 1.1 kg.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer:
The answer to your question is m = -5/3
Step-by-step explanation:
Data
Point 1 = (1, -6)
Point 2 = (-8, 9)
Process
To find the slope just substitute the values in the formula and simplify.
Formula
slope = m = (y2 - y1) / (x2 - x1)
-Identify x1, y1, x2 and y2
x1 = 1 y1 = -6 x2 = -8 y2 = 9
-Substitution
m = (9 + 6) / (-8 - 1)
-Simplification
m = 15/-9
-Result
m = -5/3
Answer:
A = 50°
B = 60°
C = 70°
Step-by-step explanation:
If we draw a line from each vertex through the center of the circle, we perpendicularly bisect the line joining the adjacent tangent points.
We then know the original angle is halved and the remaining angle of each right triangle is complementary to half the original.
Now we can subtract the known angles along each line of the original side to find the remaining angle
Answer:
9
Step-by-step explanation:
