Answer:
1) a. False, adding a multiple of one column to another does not change the value of the determinant.
2) d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.
Step-by-step explanation:
1) If the multiple of one column of a matrix A is added to another to form matrix B then we get: |A| = |B|. Here, the value of the determinant does not change. The correct option is A
a. False, adding a multiple of one column to another does not change the value of the determinant.
2) Two matrices can be column-equivalent when one matrix is changed to the other using a sequence of elementary column operations. Correc option is d.
d. True, column-equivalent matrices are matrices that can be obtained from each other by performing elementary column operations on the other.
It is important to notice firs of all that the train with no stop acceleration and them no stop acceleration would have a faster travel between stops. given this is safe to assume that there is a period during while the train is not accelerating nor decelerating. To find the time that is speed is constant
let's assume non-stop accelerating and decelerating and the time lost (subtraction of both) is the time the train had constant speed:
assuming same time accelerating a decelerating we have that the distance is
x = voT + 1/2aT^2 (initiial speed = 0) (0.25 miles = 1320 feets)
1320 = 1/2 (8)(T/2)^2
T/2 = 18.17 seg
T = 36.34 seg
time of constant speed
T = 41 -36.34 = 4.66 seg
maximum speed
v = v0 + aT (initial speed = 0)
v = 8(18.17) (time accelerating)
v = 145.36 feets/sec
distance at full speed
x = v*t
x = 145.36*4.66 = 677.38 feets
The X value corresponding to z = -0.75 will be 85. Then the correct option is A.
<h3>What is the z-score?</h3>
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
For a population with µ = 100 and σ = 20.
Then the X value corresponding to z = -0.75 will be
-0.75 = (x - 100) / 20
-15 = x - 100
x = 85
Then the correct option is A.
More about the z-score link is given below.
brainly.com/question/15016913
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Answer:
$41,162.71
Step-by-step explanation:
We have the formula to find out the future value of an amount:
FV = PV 
when:
- PV is the present value
- r : interest rate or inflation rate
- n is the duration
So that, we substitute PV = $39,500, inflation rate = 3% and duration = 3 into the above fomula, we have:
FV = 39,500x
= 41,162.71 is the amount Kaplans need for their living expenses three years from now
Hope this answer will find you well
Answer: 90.5
Step-by-step explanation:
