Give two ways to write each algebraic expression in words. x+0.5

Solve the inequality. Check your solution.

$$30 > \frac{1}{2}n$$

Use the formula for the sum of the first n terms of a geometric sequence to find the indicated sum.

$$\sum _ { i = 1 } ^ { 7 } 3 ( - 2 ) ^ { i }$$

The formula E = IZ is used to calculate voltage, where E is voltage, I is current, and Z is impedance. If the voltage in a circuit is 35 + 10i volts and the impedance is 4 + 4i ohms, what is the current (in amps)? Write your answer in the form a + bi.

Find the indicated term for the geometric sequence with first term,

$$a_1$$

and common ratio, r.

$$Find \ a _ { 4 } , \text { when } a _ { 1 } = 4 , r = - 3$$

Solve each equation.

$$h \cdot 4.7 = 30.55$$

Sascha’s Social Security full retirement benefit is x dollars. She started collecting Social Security at age 65, so her benefit is reduced. Express her approximate Social Security benefit algebraically.

evaluate the logarithm using the change-of-base formula. Round your result to three decimal places. log3/4 24

Find an equation of the circle that satisfies the given conditions. Center at the origin; passes through (4, 7)

Simplify the expression. -4(n + 1) + 15n

A cube-shaped planter has a volume of 729 in.$^3$. What is the length of the planter? A 9 in. B 27 in. C 81 in. D 243 in.

For the following two polymers, (1) state whether it is possible to determine whether one polymer has a higher melting temperature than the other; (2) if it is possible, note which has the higher melting temperature and then cite reason(s) for your choice; and (3) if it is not possible to decide, then state why not. $\bullet$ Isotactic polystyrene that has a density of $1.12 \mathrm{g} / \mathrm{cm}^{3}$ and a weight-average molecular weight of 150,000 g/mol $\bullet$ Syndiotactic polystyrene that has a density of $1.10 \mathrm{g} / \mathrm{cm}^{3}$ and a weight-average molecular weight of 125,000 g/mol

Explain what is meant by confounding. What is a lurking variable? What is a confounding variable?

You roll a six-sided die. Find P(A or B). Event A: Roll a 6. Event B: Roll a prime number.