Unlike metals, solid nonmetals are a. good conductors of heat and electric current. b. malleable. c. dull and brittle. d. ductile.

Given: $m∠1 = m∠3$

Prove: $m∠AXD = m∠BXY$

Find each quotient and remainder in the same base as the given numerals.

$$832_{s i x t e e n} \div 7_{s i x t e e n}$$

Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept.

$$f ( x ) = x ^ { 3 } ( x + 2 ) ^ { 2 } ( x + 1 )$$

Classify each quadrilateral as precisely as possible. $A(b, 2 c), B(4 b, 3 c), C(5 b, c), D(2 b, 0)$

Find the domain and the range of each function. $y=\log _{2}(x-3)$

The dosage d of a drug that a physician prescribes varies directly as the patient’s mass m, and d = 100 mg when m = 55 kg. Find d to the nearest milligram when m = 70 kg.

Find the solutions of the equation in the interval $[0,2 \pi)$. Use a graphing utility to verify your answers. $\cos 2 x-\cos 6 x=0$

sketch the graph (and label the vertices) of the solution set of the system of inequalities. { x - 7y > -36 , 5x + 2y > 5 , 6x - 5y > 6

If $G$ is any group, show that: (a) $e$ is unique (i.e. if $f \in G$ also acts as a unit element for $G ,$ then $f = e )$ (b) Given $a \in G ,$ then $a ^ { - 1 } \in G$ is unique.

Evaluate each expression to four decimal places. $e^{-4}$

Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal, unless your instructor stipulates otherwise. A randomized trial tested the effectiveness of diets on adults. Among 40 subjects using the Weight Watchers diet, the mean weight loss after one year was 3.0 lb with a standard deviation of 4.9 lb. Among 40 subjects using the Atkins diet, the mean weight loss after one year was 2.1 lb with a standard deviation of 4.8 lb. Construct a 95% confidence interval estimate of the difference between the population means. Does there appear to be a difference in the effectiveness of the two diets? Does the amount of weight loss appear to justify either diet?

An overworked employee at OHaganBooks.com goes to the top of the company’s 100 foot tall headquarters building and flings a book up into the air at a speed of 60 feet per second. a. When will the book hit the ground 100 feet below? (Neglect air resistance.) b. How fast will it be traveling when it hits the ground? c. How high will the book go?

Calculate the volume of the infinite solid obtained by rotating the region under

$$y = \left( x ^ { 2 } + 1 \right) ^ { - 2 }$$

for

$$0 \leq x < \infty$$

about the y-axis.