Answer:
≈ 565.5 units²
Step-by-step explanation:
The area (A) of the shaded sector = area of circle × fraction of circle
A = πr² × 
← r is the radius
= π × 20² ×
= 400π × 0.45 ≈ 565.5 units²
Exact form: 9/20 and decimal form: 0.45
Answer: a) Yes
b) No
Explanation: Substitute the values of X and Y from the given points into the equation. I’ll use a) as an example:
Given point: (1,-3)
Equation: 4x-2y=10
Value of X: 1
Value of Y: -3
Substitute X and Y: 4(1)-2(-3)=10
4-(-6)=10
4+6=10 ✔︎
Therefore, the given ordered pair is a proper solution to the equation 4x-2y=10.
*You can use the same method for question b).*
Given:
6 male professores
9 female professores
5 male teaching assistants
6 female teaching assistants
Sol:.
N (professors)
N(Male)
N(professors and male)
N(professors OR male) = N(professors) + N(males) -N(professor OR male)
N(People to choose from)
Then probablitiy is:
Then the probability is 10/13
Answer:
<em>B. The graph of g is the graph of f shifted 2 units down</em>
Step-by-step explanation:
<u>Graph of Functions</u>
We have two functions:
f(x)=3^x
g(x)=3^x-2
Since g(x)=f(x)-2 it will be represented as an identical graph as that for f(x), but vertically displaced 2 units down. Let's check it by plugging some points
f(0)=3^0=1
g(0)=3^0-2=-1
f(1)=3^1=3
g(1)=3^1-2=1
f(3)=3^3=27
g(3)=3^3-2=25
We can notice the values of g(x) are always 2 units below f(x), thus the correct answer is
B. The graph of g is the graph of f shifted 2 units down
