Perform the matrix row operation and write the new matrix.
R1
A. 
B. 
C. 
D. 
Answer: C
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Find T, N, and B for the given space curve.r(t) = 
i + 
j + 4tk
A. T = 
(cos 0.75t)i - 
(sin 0.75t)j + 
k; N = (-sin 0.75t)i - (cos 0.75t)j; B = - 
k
B. T = 
(cos 0.75t)i - 
(sin 0.75t)j; N = (-sin 0.75t)i - (cos 0.75t)j; B = 
(cos 0.75t)i - 
(sin 0.75t)j - 
k
C. T = 
(cos 0.75t)i - 
(sin 0.75t)j + 
k; N = (-sin 0.75t)i - (cos 0.75t)j; B = 
(cos 0.75t)i - 
(sin 0.75t)j - 
k
D. T = 
(sin 0.75t)i - 
(cos 0.75t)j; N = (-sin 0.75t)i - (cos 0.75t)j; B = 
(cos 0.75t)i - 
(sin 0.75t)j - 
k
Find the expected value.You are given 14 to 1 odds against drawing two hearts when two cards are selected at random from a standard deck of 52 cards (with replacement of the first card before the second card is drawn). This means that you win $14 if you succeed and you lose $1 if you fail. Find the expected value (to you) of the game. Round to the nearest cent.
A. $2.75 B. -$0.06 C. $0.06 D. -$0.91
Provide an appropriate response.Poaching is causing a population of elephants to decline by 5% per year. Use the approximate half-life formula to determine the fraction that remains in 59 years if there are 8661 elephants today.
A. 18,250 elephants B. 4829 elephants C. 467 elephants D. 8243 elephants
Add in the indicated base.3034 + 224
A. 10014 B. 10314 C. 3314 D. 3254