Answer:
138 ounces
Step-by-step explanation:
Answer: - 1023
Step-by-step explanation:
Given
Sequence is ![3+(-6)+12+(-24)...](https://tex.z-dn.net/?f=3%2B%28-6%29%2B12%2B%28-24%29...)
The following sequence is a geometric series with common ratio ![r=-2](https://tex.z-dn.net/?f=r%3D-2)
first term ![a=3](https://tex.z-dn.net/?f=a%3D3)
![Sum=\sum _{i=1}^{n}ar^{n-1}=\dfrac{a(1-r^n)}{1-r}](https://tex.z-dn.net/?f=Sum%3D%5Csum%20_%7Bi%3D1%7D%5E%7Bn%7Dar%5E%7Bn-1%7D%3D%5Cdfrac%7Ba%281-r%5En%29%7D%7B1-r%7D)
![Sum=\sum _{i=1}^{n}3(-2)^{n-1}=\dfrac{3(1-(2)^10)}{1+2}](https://tex.z-dn.net/?f=Sum%3D%5Csum%20_%7Bi%3D1%7D%5E%7Bn%7D3%28-2%29%5E%7Bn-1%7D%3D%5Cdfrac%7B3%281-%282%29%5E10%29%7D%7B1%2B2%7D)
![Sum=\sum _{i=1}^{n}3(-2)^{n-1}=-1023](https://tex.z-dn.net/?f=Sum%3D%5Csum%20_%7Bi%3D1%7D%5E%7Bn%7D3%28-2%29%5E%7Bn-1%7D%3D-1023)
Well you multiply...
3x3.69 is 11.07
15x4 equals 60
add 11.07 and 60, which you should get 71.07
she has had a budget of spending $71.07
If the sum of the square of a number plus the triple of the same number equals eighteen, the required numbers are 3 and -6
Let the unknown number be x
The square of the number is expressed as x²
Triple of the unknown number will also be expressed as 3x
Taking the sum of both numbers and equating it to 18 will give;
![x^2 + 3x = 18\\x^2 + 3x - 18 =0](https://tex.z-dn.net/?f=x%5E2%20%2B%203x%20%3D%2018%5C%5Cx%5E2%20%2B%203x%20-%2018%20%3D0)
Factorize the resulting equation:
![x^2+3x -18=0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x= 3 \ and \ -6](https://tex.z-dn.net/?f=x%5E2%2B3x%20-18%3D0%5C%5Cx%5E2%2B6x-3x-18%3D0%5C%5Cx%28x%2B6%29-3%28x%2B6%29%3D0%5C%5C%28x-3%29%28x%2B6%29%3D0%5C%5Cx%3D%203%20%5C%20and%20%5C%20-6)
Hence the required numbers are 3 and -6
Learn more here; brainly.com/question/13805464
Answer: 38.5 minutes, aka 38 minutes and 30 seconds, round up, unless ur teacher wants the exact time.