Answer:
129
Step-by-step explanation:
Each day, Monica measures the amount of change in the number of bacteria and this number from each day gives a geometric series
3, -6, 12, -24, ...... having first term 3 and the common ratio -2.
Then the sum of the amount of change in the bacteria after the seventh day will be ( 3 - 6 + 12 - 24 + 48 - 96 + 192) = 129 (Answer)
Answer:
![y=20\degree](https://tex.z-dn.net/?f=y%3D20%5Cdegree)
Step-by-step explanation:
The given triangle is isosceles. Therefore the base angles are equal.
This implies that,
.
To find
we add the interior add angles and equate to
.
This implies,
![(3y+70)\degree +25\degree +5x\degree =180\degree](https://tex.z-dn.net/?f=%283y%2B70%29%5Cdegree%20%2B25%5Cdegree%20%2B5x%5Cdegree%20%3D180%5Cdegree)
We substitute to obtain,
![\Rightarrow (3y+70)\degree +25\degree +25\degree =180\degree](https://tex.z-dn.net/?f=%5CRightarrow%20%283y%2B70%29%5Cdegree%20%2B25%5Cdegree%20%2B25%5Cdegree%20%3D180%5Cdegree)
We evaluate to obtain,
![\Rightarrow 3y+120\degree =180\degree](https://tex.z-dn.net/?f=%5CRightarrow%203y%2B120%5Cdegree%20%3D180%5Cdegree)
![\Rightarrow 3y=180\degree-120\degree](https://tex.z-dn.net/?f=%5CRightarrow%203y%3D180%5Cdegree-120%5Cdegree%20)
![\Rightarrow 3y=60\degree](https://tex.z-dn.net/?f=%5CRightarrow%203y%3D60%5Cdegree)
We divide through by 3 to get.
![\Rightarrow y=20\degree](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D20%5Cdegree)
Answer:
$15
Step-by-step explanation:
Answer:
1. 6
2. $1.63
3. 4.6
4. 32
5. 34n = 306
6. 3/8
Step-by-step explanation: