Answer:
=![\sqrt[3]{49x^{2} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B49x%5E%7B2%7D%20%7D)
Step-by-step explanation:
We have been given the expression;
7 times x to the two thirds power which can be written mathematically as;

To express the above expression as a radical, we need to recall that;
![a^{\frac{b}{n}}=\sqrt[n]{a^{b}}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bb%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Ba%5E%7Bb%7D%7D)
Therefore;
![(7x)^{\frac{2}{3}}=\sqrt[3]{(7x)^{2} }\\\\=\sqrt[3]{49x^{2} }](https://tex.z-dn.net/?f=%287x%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%3D%5Csqrt%5B3%5D%7B%287x%29%5E%7B2%7D%20%7D%5C%5C%5C%5C%3D%5Csqrt%5B3%5D%7B49x%5E%7B2%7D%20%7D)
Answer:
1/2
Step-by-step explanation:
sin = opposite/hypotenuse, so
sin(B) =
= 1/2
Answer: Ken Should have moved 9 units to the right because his prediction for May is 9°C. Moving to the left part of the number line would take Ken into negative degrees. 9°C is warmer than 7°C. Therefore, Ken should have moved 9 units to the right of the number line instead of 2 units to the left.
Step-by-step explanation:
Answer:
y =
(x - 5)² - 2
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (5, - 2), thus
y = a(x - 5)² - 2
To find a substitute (7, 0) into the equation
0 = a(7 - 5)² - 2
0 = 4a - 2 ( add 2 to both sides )
2 = 4a ( divide both sides by 4 )
a =
= 
y =
(x - 5)² - 2 ← in vertex form