Solve. If an equation has no real solution, say so.

$$2 \sqrt [ 3 ] { x } = \sqrt [ 3 ] { x ^ { 2 } }$$

Explain how to write terms of a sequence if the formula for the general term is given.

Use this list of multiples of 15 to answer the following questions: $$ \begin{array} { 15 } & { 30 } & { 45 } & { 60 } & { 75 } & { 90 } & { 105 } & { 120 } & { 135 } & { 150 } \end{array} $$ State the numbers which are common multiples of both a. 15 and 10 b. 15 and 9 c. 20 and 30 d. 4 and 30

Find the unknown number: x - 3/8 = 5/8

A board must be cut so that its length is 40.50 cm. The tolerance is 0.25 cm. Which inequality describes the allowable lengths for the board? A. $|x-0.25| \leq 40.50$ B. $|x+0.25| \leq 40.50$ C. $|x-40.50| \leq 0.25$ D. $|x-0.25| \leq 40.75$

Determine whether the statement is true or false. Explain your answer. The graph of the parametric equations x=f(t), y=t is the reflection of the graph of y=f(x) about the x-axis.

The standard doorway height is 80 in. If a statistician designs a house so that all of the doorways have heights that are sufficient for all men except the tallest 5%, what doorway height would be used?

A football, meant to be thrown at 60 mi/h in sea-level air (ρ = 1.22 kg/m³, μ = 1.78 E-5 N · s/m²), is to be tested using a one-quarter scale model in a water tunnel (ρ = 998 kg/m³, μ = 0.0010 N · s/m²). For dynamic similarity, what is the proper model water velocity? (a) 7.5 mi/h, (b) 15.0 mi/h, (c) 15.6 mi/h, (d) 16.5 mi/h, (e) 30 mi/h

What is the proper tú command form of the verb? ____ (esperar) una buena oportunidad y no la desaproveches.

Graph the system of quadratic inequalities.

$$\left. \begin{array} { l } { y \geq x ^ { 2 } - 4 } \\ { y \leq - 2 x ^ { 2 } + 7 x + 4 } \end{array} \right.$$

Find the mass and centroid (center of mass) of the following thin plates, assuming constant density. Sketch the region corresponding to the plate and indicate the location of the center of mass. Use symmetry when possible to simplify your work. The region bounded by y=ln x, the x-axis, and x=e

Cite the two desirable characteristics of clay minerals relative to fabrication processes.

Find a vector that gives the direction in which the given function decreases most rapidly at the indicated point. Find the minimum rate. $F(x, y, z)=\ln \left(\frac{x y}{z}\right) ;\left(\frac{1}{2}, \frac{1}{6}, \frac{1}{3}\right)$

Write and solve a system. A fish was caught whose tail weighed 9 Ib, Its head weighed as much as its tail plus half its body. Its body weighed as much as its head and tail. What did the fish weigh?