Answer:
![27^{\frac{1}{5}} = \sqrt[5]{27}](https://tex.z-dn.net/?f=%2027%5E%7B%5Cfrac%7B1%7D%7B5%7D%7D%20%3D%20%5Csqrt%5B5%5D%7B27%7D%20)
Step-by-step explanation:
Rule of exponents:
![a^{\frac{1}{n}} = \sqrt[n]{a}](https://tex.z-dn.net/?f=%20a%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%20%3D%20%5Csqrt%5Bn%5D%7Ba%7D%20)
Apply the rule to this case:
![27^{\frac{1}{5}} = \sqrt[5]{27}](https://tex.z-dn.net/?f=%2027%5E%7B%5Cfrac%7B1%7D%7B5%7D%7D%20%3D%20%5Csqrt%5B5%5D%7B27%7D%20)
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R = 7 d = 14 (to find the radius d ÷ 2) h = 10
(2πr²)
2 x 3.14 x (7x7)
2 x 3.14 x 49 = 307.72
(πdh)
3.14 x 14 x 10 = 439.6
Take the two answers and add.
307.72 + 439.6
Final answer = 747.32
Answer:
y=2.50x+4.00
over here the gradient is 2.50
and the y-intercept is 4.00
so in the first one, start Drawing the line from 4 on y axis
So a few points would be: (0,4) (1,6.5) (2,9) (3,11.5) (4,14)
second equation...
y=2.00x+5.00
gradient is 2.00
and y intercept is 5
so draw the line from 5 on the y axis
A few points would be: (0,5) (1,7) (2,9) (3,11) (4,13)
As you see, I got the common point (2,9) in both, so they intersect at (2,9)