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Aufmann et al-Intermed. Algebra with App. (Homework)

James Finch

Math - Developmental, Fall 2010

Instructor: Dr. Friendly

Current Score: 0/37

Due: Wednesday, August 18, 2010 23:15 EDT

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Question
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1 2 3 4 5 6 7 8 9 10
0/5 0/2 0/5 0/4 0/4 0/5 0/2 0/3 0/3 0/4
Total
0/37

Description

Here are some textbook questions from Intermediate Algebra with Applications (New Model) 7/e by Richard N. Aufmann, Vernon C. Barker, Joanne S. Lockwood published by Brooks/Cole. Click here for a list of all of the questions coded in WebAssign.


Instructions

This demo assignment allows many submissions and allows you to try another version of the same question for practice.



1. –/5 points Notes Question: AufInterAlgApR7 1.1.002.
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Classify the following numbers. (Select all that apply.)
9.6 1/4 23 -4 -41 8600
(a) natural numbers
(b) whole numbers
(c) integers
(d) positive integers
(e) negative integers

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2. –/2 points Notes Question: AufInterAlgApR7 1.1.042.
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Replace each question mark with "includes" or "does not include" to make the following statement true.
The set [-2, 5] the number -2 and the number 5.

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3. –/5 points Notes Question: AufInterAlgApR7 1.3.036.SBS.
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Find the volume of a cone with height 9 in. and radius 4 in.
STEP 1: Write the formula for the volume of a cone with height h and base of radius r.
V =


STEP 2: If r = 4 in. and h = 9 in., give the exact volume of the cone.
V =
1
3
 π (
Enter an exact number.
 )2(
Enter an exact number.
 ) = (
Enter an exact number.
 ) π in.

STEP 3: Use the π key on a calculator to approximate the value to the nearest hundredth.
V ≈
Enter a number.
 in.3

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4. –/4 points Notes Question: AufInterAlgApR7 2.1.034.SBS.
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Solve and check.
3x – 15 = 6x
STEP 1: Subtract 3x.
3x – – 15 = 6x – 3x
-15 =

STEP 2: Divide by the coefficient of x.
-15
3
 =

STEP 3: Simplify.
Enter an exact number.
 = x

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5. –/4 points Notes Question: AufInterAlgApR7 2.2.034.
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True or False?
(a) The sum of two consecutive odd integers is odd.
    



(b) The sum of four consecutive integers is odd.
    



(c) The sum of four consecutive odd integers is even.
    



(d) The sum of three consecutive even integers is even.
    


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6. –/5 points Notes Question: AufInterAlgApR7 2.4.002.SBS.
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You invest an amount of money at an annual simple interest rate of 6.25%. You invest a second amount, $500 less than the first, at an annual simple interest rate of 6%. Let x represent the amount invested at 6.25%. Complete the following table.
STEP 1: Amount at 6.25%.
Principal, P ·Interest rate, r =Interest earned, I
x ·
Enter a number.
 =

STEP 2: Amount at 6%.
Principal, P ·Interest rate, r =Interest earned, I
·
Enter a number.
 =

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7. –/2 points Notes Question: AufInterAlgApR7 3.1.034.
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The amount of a substance that can be dissolved in a fixed amount of water usually increases as the temperature of the water increases. Cerium selenate, however, does not behave in this manner. The graph below shows the number of grams of cerium selenate that will dissolve in 100 mg of water for various temperatures, in degrees Celsius.
(a) Determine the temperature at which 40 g of cerium selenate will dissolve.
Enter an exact number.
 °C

(b) Determine the number of grams of cerium selenate that will dissolve when the temperature is 50° C.
Enter an exact number.
 g

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8. –/3 points Notes Question: AufInterAlgApR7 3.6.040.
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A theorem from geometry states that a line passing through the center of a circle and through a point P on the circle is perpendicular to the tangent line at P. (See the figure.)
(a) If the coordinates of P are (4, 5) and the coordinates of c are (3, 4), what is the equation of the tangent line?
Enter a mathematical expression or equation with exact values.


(b) What are the intercepts of the tangent line?
(0,
Enter an exact number.
)
(
Enter an exact number.
, 0)

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9. –/3 points Notes Question: AufInterAlgApR7 4.4.036.
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A mobile is made by suspending three objects from a light rod that is 30 in. long as shown in the figure. The weight, in ounces, of each object is shown in the diagram. For the mobile to balance, the objects must be positioned so that w1d1 + w2d2 = w3d3. The artist wants d3 to be twice d2. Find the distances d1, d2, and d3 so that the mobile will balance.
d1 =
Enter an exact number.

d2 =
Enter an exact number.

d3 =
Enter an exact number.

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10. –/4 points Notes Question: AufInterAlgApR7 8.6.020.
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Find the vertex and axis of symmetry given by the following equation. Then graph the equation.
y = x2 + 6x + 12
vertex
(
Enter an exact number.
,
Enter an exact number.
 )

axis of symmetry
x =
Enter an exact number.


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