Problem Solving Approach to Mathematics for Elementary School Teachers
13th Edition
ISBN: 9780135184097
Author: BILLSTEIN
Publisher: PEARSON CO
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Chapter 14.1A, Problem 9A
To determine
To find:
The image of the figure under a half-turn about O.
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Suppose an oil spill covers a circular area and the radius, r, increases according to the graph shown below where t
represents the number of minutes since the spill was first observed.
Radius (feet)
80
70
60
50
40
30
20
10
0
r
0 10 20 30 40 50 60 70 80 90
Time (minutes)
(a) How large is the circular area of the spill 30 minutes after it was first observed? Give your answer in terms of π.
square feet
(b) If the cost to clean the oil spill is proportional to the square of the diameter of the spill, express the cost, C, as a
function of the radius of the spill, r. Use a lower case k as the proportionality constant.
C(r) =
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increase from 20 feet to 60 feet?
r(60) - r(20)
Or¹(80-30)
r(80) - r(30)
r-1(80) - r−1(30)
r-1(60) - r¹(20)
6. Graph the function f(x)=log3x. Label three points on the graph (one should be the intercept) with
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g(x) = 8√√x, [8,64]
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Chapter 14 Solutions
Problem Solving Approach to Mathematics for Elementary School Teachers
Ch. 14.1 - Prob. 1MCCh. 14.1 - Prob. 3MCCh. 14.1 - Prob. 5MCCh. 14.1 - Prob. 6MCCh. 14.1 - Prob. 7MCCh. 14.1 - A drawing of a cube, shown in the following...Ch. 14.1 - Wall stenciling has been used to obtain an effect...Ch. 14.1 - Prob. 10MCCh. 14.1 - The following figure is a partial tessellation of...Ch. 14.1 - Prob. 12MC
Ch. 14.1 - Prob. 13MCCh. 14.1 - Prob. 14MCCh. 14.1 - Prob. 15MCCh. 14.1 - Prob. 18MCCh. 14.1 - Prob. 19MCCh. 14.1 - Prob. 20MCCh. 14.1 - Prob. 21MCCh. 14.1 - Karrin claims that centers of rotation must be at...Ch. 14.1 - A student asks if the image seen through a...Ch. 14.1 - Jillian wants to know why a regular pentagon will...Ch. 14.1 - Prob. 26MCCh. 14.1 - Prob. 1NAEPCh. 14.1 - Prob. 2NAEPCh. 14.1 - Prob. 3NAEPCh. 14.1A - For each of the following, find the image of the...Ch. 14.1A - Prob. 2ACh. 14.1A - Find the coordinates of the image for each of the...Ch. 14.1A - Prob. 4ACh. 14.1A - Prob. 7ACh. 14.1A - Prob. 8ACh. 14.1A - Prob. 9ACh. 14.1A - Prob. 11ACh. 14.1A - Prob. 12ACh. 14.1A - Prob. 13ACh. 14.1A - Prob. 14ACh. 14.1A - Prob. 15ACh. 14.1A - A 1-inch blue square piece of sidewalk chalk is...Ch. 14.1A - Prob. 17ACh. 14.1A - Prob. 18ACh. 14.1A - Prob. 19ACh. 14.1A - Prob. 20ACh. 14.1A - Prob. 22ACh. 14.1A - Prob. 23ACh. 14.1A - Prob. 24ACh. 14.1A - Prob. 25ACh. 14.1A - Prob. 26ACh. 14.1A - Prob. 27ACh. 14.1A - Prob. 28ACh. 14.1B - Prob. 2ACh. 14.1B - Prob. 3ACh. 14.1B - Prob. 4ACh. 14.1B - Prob. 7ACh. 14.1B - Prob. 11ACh. 14.1B - Prob. 12ACh. 14.1B - Prob. 13ACh. 14.1B - Prob. 14ACh. 14.1B - Prob. 15ACh. 14.2 - Prob. 1MCCh. 14.2 - Prob. 2MCCh. 14.2 - Prob. 3MCCh. 14.2 - Prob. 4MCCh. 14.2 - Prob. 5MCCh. 14.2 - Prob. 6MCCh. 14.2 - Prob. 7MCCh. 14.2 - Prob. 8MCCh. 14.2 - Prob. 9MCCh. 14.2 - Prob. 13MCCh. 14.2 - Prob. 15MCCh. 14.2 - Prob. 17MCCh. 14.2 - Prob. 18MCCh. 14.2 - Prob. 19MCCh. 14.2 - Prob. 20MCCh. 14.2 - Prob. 22MCCh. 14.2 - Prob. 1NAEPCh. 14.2 - Prob. 2NAEPCh. 14.2 - Prob. 3NAEPCh. 14.2 - Prob. 4NAEPCh. 14.2 - Prob. 5NAEPCh. 14.2A - Assessment 14-2A Describe how to find the image of...Ch. 14.2A - Prob. 2ACh. 14.2A - Assessment 14-2A Determine the final result when...Ch. 14.2A - Prob. 4ACh. 14.2A - Assessment 14-2A a. Refer to the following figure...Ch. 14.2A - Prob. 6ACh. 14.2A - a. Reflect triangle ABC across line j, then across...Ch. 14.2A - Assessment 14-2A Given ABC and its reflection...Ch. 14.2A - Prob. 9ACh. 14.2A - Prob. 10ACh. 14.2A - Decide whether a reflection, a translation, a...Ch. 14.2A - a. Conjecture what the image of a point with...Ch. 14.2A - Prob. 16ACh. 14.2A - Prob. 17ACh. 14.2A - Prob. 18ACh. 14.2A - Point P is the image of P not shown under a glide...Ch. 14.2A - Consider the glide reflection determined by the...Ch. 14.2B - Prob. 1ACh. 14.2B - Prob. 2ACh. 14.2B - Determine the final result when ABCis reflection...Ch. 14.2B - Prob. 4ACh. 14.2B - Prob. 6ACh. 14.2B - Prob. 7ACh. 14.2B - Prob. 8ACh. 14.2B - Prob. 9ACh. 14.2B - Prob. 10ACh. 14.2B - Prob. 11ACh. 14.2B - Prob. 12ACh. 14.2B - Prob. 13ACh. 14.2B - Prob. 14ACh. 14.2B - Prob. 15ACh. 14.2B - In which line will the two intersecting circles...Ch. 14.2B - Prob. 18ACh. 14.2B - If PQ is the image PQ not shown under a glide...Ch. 14.2B - Prob. 20ACh. 14.2B - Prob. 21ACh. 14.3 - Prob. 1MCCh. 14.3 - Prob. 2MCCh. 14.3 - Prob. 3MCCh. 14.3 - Prob. 5MCCh. 14.3 - Prob. 6MCCh. 14.3 - Prob. 7MCCh. 14.3 - Prob. 8MCCh. 14.3 - Prob. 9MCCh. 14.3 - Prob. 10MCCh. 14.3 - Prob. 12MCCh. 14.3 - Prob. 13MCCh. 14.3 - Prob. 14MCCh. 14.3 - Prob. 15MCCh. 14.3 - Prob. 16MCCh. 14.3 - Prob. 17MCCh. 14.3A - In the following figures, describe a sequence of...Ch. 14.3A - Prob. 2ACh. 14.3A - In each of the following drawings, find...Ch. 14.3A - Prob. 4ACh. 14.3A - AB is the image of a candle AB produced by a box...Ch. 14.3A - Prob. 6ACh. 14.3A - Prob. 7ACh. 14.3A - Prob. 8ACh. 14.3A - Prob. 9ACh. 14.3A - Prob. 10ACh. 14.3A - Prob. 11ACh. 14.3A - Prob. 12ACh. 14.3A - Prob. 13ACh. 14.3B - Prob. 1ACh. 14.3B - Prob. 2ACh. 14.3B - Prob. 4ACh. 14.3B - Prob. 5ACh. 14.3B - Prob. 6ACh. 14.3B - Prob. 7ACh. 14.3B - Prob. 8ACh. 14.3B - Prob. 9ACh. 14.3B - Prob. 11ACh. 14.3B - Prob. 12ACh. 14.3B - Prob. 13ACh. 14.CR - Prob. 1CRCh. 14.CR - Prob. 2CRCh. 14.CR - Prob. 3CRCh. 14.CR - Prob. 4CRCh. 14.CR - Given that STAR in the figure shown is a...Ch. 14.CR - Prob. 6CRCh. 14.CR - Given that SNOSWO in the following figure,...Ch. 14.CR - Prob. 8CRCh. 14.CR - Prob. 9CRCh. 14.CR - Prob. 10CRCh. 14.CR - If a translation determined by (x,y)(x+3,y2) is...Ch. 14.CR - Prob. 12CRCh. 14.CR - Prob. 13CRCh. 14.CR - On a 1-m equilateral triangle pool table, a ball...Ch. 14.CR - Prob. 15CRCh. 14.CR - Prob. 16CRCh. 14.CR - Prob. 17CRCh. 14.CR - Prob. 18CRCh. 14.CR - Prob. 19CRCh. 14.CR - Prob. 21CRCh. 14.CR - Prob. 22CRCh. 14.CR - Prob. 23CRCh. 14.CR - Prob. 24CRCh. 14.CR - Prob. 25CRCh. 14.CR - Prob. 26CRCh. 14.CR - What dilation, if any, allows a line with equation...Ch. 14 - Prob. 1NT
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