Answer: The required matrix is
![T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .](https://tex.z-dn.net/?f=T%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%263%5C%5C2%264%5Cend%7Barray%7D%5Cright%5D%20.)
Step-by-step explanation: We are given to find the transition matrix from the bases B to B' as given below :
B = {(-1,2), (3, 4)) and B' = {(1, 0), (0, 1)}.
Let us consider two real numbers a, b such that

Again, let us consider reals c and d such that

Therefore, the transition matrix is given by
![T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .](https://tex.z-dn.net/?f=T%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%263%5C%5C2%264%5Cend%7Barray%7D%5Cright%5D%20.)
Thus, the required matrix is
![T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .](https://tex.z-dn.net/?f=T%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%263%5C%5C2%264%5Cend%7Barray%7D%5Cright%5D%20.)
Answer:
option-C
Step-by-step explanation:
We are given
At 9:00 a.m., a wind speed of 20 miles per hour was recorded
So, initial wind speed =20 miles per hour
Each measurement showed an increase in wind speed of 3 miles per hour
The strongest wind was recorded at 4:00 p.m
so,
top wind speed = initial wind speed + ( total number of hours between 9:00 am and 4:00 pm)*(change in wind speed)
top wind speed = 20 mph+(16-9)*3

miles per hour
Since, change in wind speed and initial wind speed are constant
but the number of hours it took for the wind speed to reach its minimum for the day can be changed
so, most important variables is
the number of hours it took for the wind speed to reach its minimum for the day can be changed
Answer:
f(x)=1x·8= total distance
Step-by-step explanation:
f(x) is a function
1= hour
x= how many hours
8= miles
The series formed by using exponential property we get : 
What is Exponential Property?
- Properties of Exponents : It is also called power or degree.
- It tells us how many times the base will be multiplied by itself.
- The properties of exponents or laws of exponents are wont to solve problems involving exponents.
- These properties also are considered as major exponents rules to be followed while solving exponents.
Using exponential property on given values we get,

Complete series using exponent property is:
Learn more about exponential property here:
brainly.com/question/25633462
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Second one
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Hope it helps
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