\frac{d}{dx}\left(\frac{1+x^4+x^6}{x^2+x+1}\right)=\frac{4x^7+5x^6+8x^5+3x^4+4x^3-2x-1}{\left(x^2+x+1\right)^2}
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Answer:
8^14
Step-by-step explanation:
8^10 * 8^4
We know that a^b * a^c = a^(b+c)
8^(10+4)
8^14
Answer:
4 mins 31 seconds
Step-by-step explanation:
Maximum speed is 203 mph equivalent to
Time taken to attain maximum speed, 
where v is velocity and a is acceleration hence
The distance traveled when at top speed
Total distance is provided as 12.42 miles converted to ft is 12.42*5280=65577.6 ft
Total distance-distance moved to attain maximum speed will be
65577.6 ft-15127.2 ft=50450.44 ft
Time taken during maximum speed
Total time=101.6155 s+169.45 s=271.06 s
271.06/60=4 mins 31 seconds
Given that the plane is at altitude of 1200m and the angle of depression is 28°, to calculate the distance between the the plane and the rock we assume that we a have right triangle whereby the distance of the plane form the ground is the height, the distance from plane to the rock is the hypotenuse and the remaining distance is the base:
thus
sin θ=opposite/hypotenuse
θ=28°
opposite=1200m
hypotenuse=h
thus
sin 28=1200/h
h=1200/sin 28
h=2556.065 m
Answer: .12 grams of butter per cupcake
Step-by-step explanation:
