Answer:
Step-by-step explanation:
The oblique asymptote of
,
We perform the long division as shown in the attachment.
The quotient is;
Comparing to 3x+k
Hence the value of k is 
<span>P(liberal | State A) means that probability of liberal candidates to be voted for within state A. This probability could be calculated by the pattern: number of successful events/total events. The successful events referred here is the number of liberal votes in state A. That is equal to 22. The total events is the total number of votes in state A which is 40.
Thus, the probability is 22/40 = 0.55</span>
X intercept is when y and z=0
yinter cept is when x and z =0
zintercept is when x and y =0
set to zero and solve
xint
-4x+6(0)-5(0)=60
-4x=60
divide -4
x=-15
xint is (-15,0,0)
ying
-4(0)+6y-5(0)=60
6y=60
divide by 6
y=10
yint is (0,10,0)
zint
-4(0)+6(0)-5z=60
-5z=60
divide by -5
z=-12
zint is (0,0,-12)
xint is (-15,0,0)
yint is (0,10,0)
zint is (0,0,-12)
The answer to your question is .........
The work done in pushing the box is 64000 lb-ft²/s²
<h3>How to calculate the work done by the person?</h3>
Since person pushing a 40 pound box up an incline that is 30 degrees above the horizontal and 100 feet long, the work done, W is
W = mgh where
- m = mass of box = 40 lb,
- g = acceleration due to gravity = 32 ft/s² and
- h = height of incline = LsinФ where
- L = length of incline = 100 ft and
- Ф = angle of incline = 30°
So, W = mgh
W = mgLsinФ
So, substituting the values of the variables into the equation, we have
W = mgLsinФ
W = 40 lb × 32 ft/s² × 100 ftsin30°
W = 1280 lb-ft/s² × 100 ft × 0.5
W = 1280 lb-ft/s² × 50 ft
W = 64000 lb-ft²/s²
So, the work done in pushing the box is 64000 lb-ft²/s²
Learn more about work done here:
brainly.com/question/25970931
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