How is the required force to loosen the nut in the above Problem impacted if the length of the wrench is doubled?

Solve the equation. Check your solution. 4a + 11 – a = 2

(a) y = x½ Estimate the slope of the tangent line to y = x^n at the point (1, 1).

(a) find the slope of the graph of f at the given point, (b) use the result of part (a) to find an equation of the tangent line to the graph at the point, and (c) graph the function and the tangent line. $f(x)=2 x^{2}-1,(0,-1)$

Circle the letter of the best SYNONYM for the word in bold-faced type.

to fear a(n) subpoena

a. consensus

b. censorious judge

c. underhanded trick

d. ban

e. summons to court

New designs for teens. If you were a designer, where would you look for inspiration when creating new fashions for teens today? Write an explanation of your ideas.

Find the solution to the equation without a calculator. $\cos ^{-1}(\cos x)=1$

Completa.

A todos nos gusta recibir ________ o sea comentarios laudatorios.

Solve the equation. Check your solution. 8y - 3 = 13

Choose one of your purchases for which you saw an ad. Who was the target consumer for this ad? How do you know? What techniques were used?

If $\vec{v}$ and $\vec{w}$ are non-zero vectors, use the geometric definition of the cross product to explain why

$$(\lambda \vec{v}) \times \vec{w}=\lambda(\vec{v} \times \vec{w})=\vec{v} \times(\lambda \vec{w}) .$$

Consider the cases $\lambda>0$, and $\lambda=0$, and $\lambda<0$ separately.

You are a defense attorney arguing in court for sparing a tropical rain forest from being cut down. Give your three best arguments for the defense of this ecosystem. Do the same for sparing a threatened coral reef.

Find the solution for the equation. Check your answer. $k + 1.5 = - 6.7$

In what ways are Acrisius and Polydectes antagonists of Perseus? In a chart like the following, trace their actions, the difficulties they create for Perseus, and the ways he overcomes these challenges.

$$\begin{array} {|c|c|c|c|} \hline \text{Antagonist} & \text{Actions} & \text{Effect on Perseus} & \text{End Result}\\ \hline \text{ } & \text{ } & \text{ } & \text{ }\\ \hline \end{array}$$