Answer:
A. 2.2
Step-by-step explanation:
The average rate of change between 2 x values is the total change of the y values (output values) divided by the change in the x values.Slope is special situation of that.
point 1 (x₁,y₁) → ( 2,7.5)
point 2 (x₂,y₂) → ( 18,42.5)
slope = 42.5 -7.5/18-2 =35 / 16 = 2.1875 ≈ 2.2
Answer:

Step-by-step explanation:
The angle of shaded sector = 360-332 = 28°
The radius of sector, r = 15 ft
We need to find the area of the shaded sector. The formula for the area of the sector is given by :

So, the area of the shaded sector is equal to
.
Answer:
is linearly dependent set.
Step-by-step explanation:
Given:
is a linearly dependent set in set of real numbers R
To show: the set
is linearly dependent.
Solution:
If
is a set of linearly dependent vectors then there exists atleast one
such that 
Consider 
A linear transformation T: U→V satisfies the following properties:
1. 
2. 
Here,
∈ U
As T is a linear transformation,

As
is a linearly dependent set,
for some 
So, for some 

Therefore, set
is linearly dependent.
Answer: 100,000 + 2000 + 200
Hope this helps!
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Answer:

Step-by-step explanation:
The relevant rule of exponents is ...
(a^b·c^d)^e = a^(be)·c^(de)
Then ...
(m^(5/4)·n^(-4/5))^(7/3) = m^(5/4·7/3)·n^(-4/5·7/3)
= m^(35/12)·n^(-28/15)
__
Since you want positive rational exponents, you can write this as ...
= m^(35/12)/n^(28/15)