Answer:
Step-by-step explanation:
Remember the rule for converting radicals and exponents into fractions. The power is the numerator of the fraction, and the nth root is the denominator of the fraction. Also, remember that dividing by an exponent means the exponent will be negative.
![\frac{\sqrt[3]{x^{8} } }{\sqrt[6]{y^{5} } } \\\\\frac{x^{\frac{8}{3} } }{y^{\frac{5}{6} } } \\\\x^{\frac{8}{3}}y^{-\frac{5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7Bx%5E%7B8%7D%20%7D%20%7D%7B%5Csqrt%5B6%5D%7By%5E%7B5%7D%20%7D%20%7D%20%5C%5C%5C%5C%5Cfrac%7Bx%5E%7B%5Cfrac%7B8%7D%7B3%7D%20%7D%20%7D%7By%5E%7B%5Cfrac%7B5%7D%7B6%7D%20%7D%20%7D%20%5C%5C%5C%5Cx%5E%7B%5Cfrac%7B8%7D%7B3%7D%7Dy%5E%7B-%5Cfrac%7B5%7D%7B6%7D)
Answer:
hello sorry im late the answer is (-6,-1)
Step-by-step explanation:
1) f(x)=2x+6
f(2)=2(2)+6
=4+6
=10
2)f(x)=3x
f(a+1)=3(a+1)
=3a+3
3)f(x)=3x-1 and g(x)=5x+3
f(2)=3(2)-1
f(2)=6-1
=5
g(3)=5x+3
=5(3)+32
=15+3
=18
f(2)+f(3)=5+18
=23.
Answer:
<u><em>y = -190 cos(π t / 120) + 195</em></u>
Step-by-step explanation:
<em>General form of a sinusoidal function: y = A cos(Bt - C) + D
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<em>Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.
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<em>A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.
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2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.
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C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.
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D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.
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Your final function will be:</em>
<u><em>y = -190 cos(π t / 120) + 195</em></u>
Answer:
1600 dollars
Step-by-step explanation:
Find out how much you earn a month
1 month = 4 weeks
1 month = 100 x 4 = 400 dollars
Now find out 4 months
4 months = 400 x 4 = 1600 dollars
