9514 1404 393
Answer:
- 63 in the class
- (C+B)P' = 25
- (C+B+P)' = 18
Step-by-step explanation:
The number of students in the class is the total of all numbers on the diagram:
9 +5 +11 +6 +3 +4 +7 +18 = 63 . . . students in the 2015 senior class
__
Students taking Chem or Biology, but not Physics are those in the colored area, excluding those in the green:
9 +5 +11 = 25 science students not taking Physics
__
Students not taking science are those outside the colored areas:
18 students are not taking science
The value of x is 10
You do 3x-3 = 2x+13
Subtract 2x from both sides
x-3 = 13
add 3 to both sides
x=10
Answer:
Option A and option B
Step-by-step explanation:
Given that
Sophia wants to invest $6,000
There are two investment options
Option A pays 2.2% simple interest
and, Option B pays 2% interest compounded annually
Now we need to find out which option is the best choice
In the case when Sophia wants to invest for 10 years, so she should select
option A as the investment will have highest value.
In the case when Sophia wants to invest for 20 years, so she should select
option B as the investment will have highest value.
Integer antonym...........
check your Unit Circle for the values of at 180°
![cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ cos(180-x)=-cos(x) \\\\[-0.35em] ~\dotfill\\\\ cos(180^o-x)\implies cos(180^o)cos(x)+sin(180^o)sin(x) \\\\\\ (-1)cos(x)+(0)sin(x)\implies -cos(x)](https://tex.z-dn.net/?f=cos%28%5Calpha%20-%20%5Cbeta%29%3D%20cos%28%5Calpha%29cos%28%5Cbeta%29%20%2B%20sin%28%5Calpha%29sin%28%5Cbeta%29%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20cos%28180-x%29%3D-cos%28x%29%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20cos%28180%5Eo-x%29%5Cimplies%20cos%28180%5Eo%29cos%28x%29%2Bsin%28180%5Eo%29sin%28x%29%20%5C%5C%5C%5C%5C%5C%20%28-1%29cos%28x%29%2B%280%29sin%28x%29%5Cimplies%20-cos%28x%29)