Use the ratio test to determine whether the given series converges or diverges. $\sum_{k=1}^{\infty} \frac{2^{k}}{k^{3}}$

How is the color black produced in the CMYK color process? How does this differ from the RGB color process?

What words or phrases best describe your reaction to this poem?

How is the principle of open opportunity different from guaranteeing success to everyone in the marketplace?

Fill in each blank so that the resulting statement is true. Two sets that contain the same number of elements are called ____ sets.

$$\frac { 1 } { 100 } + \frac { 9 } { 100 }$$

Why does plastic food wrap cling better to some materials than to others?

Prove that the statements are false. There exists an integer

$$k \geq 4$$

such that

What advantages did the North have at the beginning of the war?

Light waves travel at 300,000 km/s. Sound waves in warm air travel at approximately 0.34 km/s. During a thunderstorm, a lightning bolt strikes 2 kilometers away from you. How long does it take you to see the lightning? How long does it take you to hear the thunder?

An air cargo plane can transport as many as 15 regular shipping containers. One supersize container takes up the space of 3 regular containers. a. Write an inequality to model the number of regular and supersize containers the plane can transport. b. Describe the domain and range. c. Graph the inequality you wrote in par (a).

Graph each function. Be sure to label all the intercepts. $f(x)=\sqrt{9-9 x^{2}}$

Solve the given problems. Where appropriate, set up the required equations.

In order to find the diameter $d$ (in $\mathrm{cm} )$ of a helical spring subject to given forces, it is necessary to solve the equation $64 d^{3}-144 d^{2}+108 d-27=0 .$ Solve for $d .$

Graph ΔPQR with vertices P(-2, 3), Q(1, 2) and R(3, -1) and its image after the translation. (x, y)→(x + 9, y + 2)