Write all classifications that apply to each real number.

$$\frac { 1 } { 2 }$$

What is 19/50 as a percent? F. 19% G. 31% H. 38% I. 260%

For each equation, find all the roots. $3 x^{4}-11 x^{3}+15 x^{2}-9 x+2=0$

Cuéntale a tus compañero(a) sobre una ocasión en que tuviste que hacer algo que no querías hacer.

The concentration of an antihistamine in the bloodstream of a healthy adult is modeled by

$$C = 12.5 - 4 \ln \left( t ^ { 2 } - 3 t + 4 \right),$$

where C is measured in grams per liter and t is the time in hours since the medication was taken. What is the average level of concentration in the bloodstream over a 6-hr period?

Express each set in roster form. You may need to use the Internet or some other reference source. The set of states in the United States whose names begin with the latter H.

Verify that each equation is an identity.

$$\sec \theta \csc \theta = \tan \theta + \cot \theta$$

Find the cosine and sine integral representations of the given function. $f(x)=e^{-k x}, k>0, x>0$

Prove that the reflection about the line y=x of a line with slope m,

$$m \neq 0$$

, is a line with slope 1/m. [Hint: Apply the result of the previous exercise to a pair of points on the line of slope m and to a corresponding pair of points on the reflection of this line about the line y=x.]

Show that every left coset of the subgroup ℤ of the additive group of real numbers contains exactly one element x such that 0 ≤ x < 1.

use the function and its derivative to determine any points on the graph of а at which the tangent line is horizontal. Use a graphing utility to verify your results. f(x) = xe^-x, f’(x) = e^-x - xe^-x.

Copy and complete each equation.

$$\frac { 5 ^ { 2 } 5 ^ { 3 } } { 5 ^ { 3 } 5 ^ { 2 } } = 5^\square$$

Use any method to determine whether the series converges or diverges. Give reasons for your answer.

$$\sum _ { n = 2 } ^ { \infty } \frac { 1 } { 1 + 2 + 2 ^ { 2 } + \cdots + 2 ^ { n } }$$

Copy and complete the statement. Round to the nearest whole number. 150 L ≈ _ gal