Answer:
Step-by-step explanation:
First simplify:
Therefore we have:
![\sum\limits_{n=1}^{150}[-1-(n-1)]=\sum\limits_{n=1}^{150}(-n)=(-1)+(-2)+(-3)+...+(-150)\\\\-1,\ -2,\ -3,\ -4,\ ...,\ -150-\text{it's the arithmetic sequence}\\\text{with the common difference d = -1.}\\\\\text{The formula of a sum of terms of an arithmetic sequence:}\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\\text{Substitute}\ n=150,\ a_1=-1,\ a_n=-150:\\\\S_{150}=\dfrac{-1+(-150)}{2}\cdot150=(-151)(75)=-11,325](https://tex.z-dn.net/?f=%5Csum%5Climits_%7Bn%3D1%7D%5E%7B150%7D%5B-1-%28n-1%29%5D%3D%5Csum%5Climits_%7Bn%3D1%7D%5E%7B150%7D%28-n%29%3D%28-1%29%2B%28-2%29%2B%28-3%29%2B...%2B%28-150%29%5C%5C%5C%5C-1%2C%5C%20-2%2C%5C%20-3%2C%5C%20-4%2C%5C%20...%2C%5C%20-150-%5Ctext%7Bit%27s%20the%20arithmetic%20sequence%7D%5C%5C%5Ctext%7Bwith%20the%20common%20difference%20d%20%3D%20-1.%7D%5C%5C%5C%5C%5Ctext%7BThe%20formula%20of%20a%20sum%20of%20terms%20of%20an%20arithmetic%20sequence%3A%7D%5C%5C%5C%5CS_n%3D%5Cdfrac%7Ba_1%2Ba_n%7D%7B2%7D%5Ccdot%20n%5C%5C%5C%5C%5Ctext%7BSubstitute%7D%5C%20n%3D150%2C%5C%20a_1%3D-1%2C%5C%20a_n%3D-150%3A%5C%5C%5C%5CS_%7B150%7D%3D%5Cdfrac%7B-1%2B%28-150%29%7D%7B2%7D%5Ccdot150%3D%28-151%29%2875%29%3D-11%2C325)
Answer:
-4,4
4,6
0,-1
Step-by-step explanation:
igz not sure
Answer:
It seems that problem might have an error.
population = 600 * e ^ (.02*t) where e = 2.718281828459
So, at day 1 we have
day 1 population = 600 * 2.718281828459 ^(.02*1) = 32.62
day 2 population = 600 * 2.718281828459 ^(.02*2) = 88.67
We can see that the population doubles in less than one day but the lowest of those multiple choices is 34.657 days
Step-by-step explanation:
4√2x−8+4√2x+8=0
Simplifies to:
11.313708x=0
Let's solve your equation step-by-step.
11.313708x=0
Step 1: Divide both sides by 11.313708.
<u>11.313708x
</u>
11.313708
=
<u> 0 </u>
11.313708
x=0
Answer:
x=0
Answer:
139.5 mm
Step-by-step explanation:
The area of a geometric shape with all sides of equal length is:
A (1/2)nsr
n = the number of sides
s = the length of the sides
r = the length of the apothem
The apothem is the line going from the center point of the shape to the middle of one of the sides.
A = (1/2)(5)(9)(6.2)
A = (1/2)279
A = 139.5 mm
