找到你今天要练的题。

The functions g and h are defined by the given equations.
\( g\left(x\right)=\sqrt{\left(x-11\right)^2+45} \) 
\( h(x)=\sqrt[3]{64}+\frac{x^{2}}{2} \) 
If \( g\left(8\right)=t \) , where t is a constant, what is the value of \( h\left(t\right) \)?

\( \frac{\sqrt[3]{x^{17}y^{5}}}{5x^{2}(\sqrt[8]{y^{8}})} \) 
For all positive values of x and y, the given expression is equivalent to which of the following?

Ⅰ.\( \frac{(x^{\frac{11}{3}})(y^{\frac{2}{3}})}{5} \) 

Ⅱ.\( \frac{\sqrt[3]{x^{11}y^{2}}}{5} \) 

\( \sqrt[5]{x^{m}} \) 
In the given expression, m is a constant and \( x>1. \) The expression can be rewritten as \( \sqrt[7]{x} \). What is the value of m?

\( 49=\frac{2K}{v^2} \) 
For an object with a mass of 49 kilograms, the given equation relates the kinetic energy K, in joules, of the object to the object's speed v, in meters per second, where K and v are positive. Which equation correctly expresses this object's speed, in meters per second, in terms of the object's kinetic energy, in joules?

If n and k are numbers greater than 1 and \( \sqrt{n^{5}} \)  is equivalent to \( \sqrt[5]{k^{4}} \) , for what value of a is \( n^{4a+1} \) equal to k? 

\( \sqrt{k-x}=28-x \) 
In the given equation, k is a constant. The equation has exactly one real solution. What is the minimum possible value of 4k?

x =\( \sqrt{3x-2} \) 
How many solutions does the given equation have?

x =\( \sqrt{7x-10} \) 
What is the sum of the solutions to the given equation?

Which of the following is equivalent to \( \left(\frac{3}{2\sqrt{x}}\right)^4 \) ?

f(x) =\( \sqrt{5x+6} \) 
The function f is defined by the given equation. If f(a) =-5a, where a is a constant, what is the value of a?

\( \frac{10x}{5y}=2\sqrt{w+14} \) 
The given equation relates the distinct positive real numbers w , x, and y. Which equation correctly expresses w in terms of x and y ?

\( \sqrt[5]{272n}(\sqrt[6]{272n})^{2} \) 
For what value of x is the given expression equivalent to \( \left(272n\right)^{30x} \) , where n >1?