
Concept explainers
a.
To find how much wax is used in each candle
a.

Answer to Problem 15E
1809 ft3
Explanation of Solution
Given information:
Diameter( d ) of the red candle is 3 inches
Height( h ) of the red candle is 6 inches
Diameter( d ) of the blue candle is 3 inches
Height( h ) of the blue candle is 9 inches
Diameter( d ) of the green candle is 4 inches
Height( h ) of the green candle is 4 inches
Formula used:
Volume( V ) of the cylinder =
Calculation:
Diameter of the base, d=2r
Then Radius,
for red candle
for blue candle
for green candle
Substituting value of Radius ( r ) and Height( h ) of respective candle in formula,
For red candle:
Square of 1.5 is 2.25
Value of pi upto 2 decimal points is 3.14
On solving,
in3
For blue candle:
Square of 1.5 is 2.25
Value of pi upto 2 decimal points is 3.14
On solving,
in3
For green candle:
Square of 2 is 4
Value of pi upto 2 decimal points is 3.14
On solving,
in3
Hence, wax used in red, blue and green candle is 42.39 in3 , 63.58 in3 and 50.24 in3 in respective candle.
b.
To find ratio of cost of candle to volume of wax used in candle
b.

Answer to Problem 15E
For red candle- 1:6
For blue candle- 1:8
For green candle- 1:5
Explanation of Solution
Given information:
The cost of red candle is $7.05
The cost of blue candle is $7.80
The cost of green candle is $10.55
Calculated volume
=42.39 in3 For red candle
=63.58 in3 For blue candle
=50.24 in3 For green candle
Calculation:
Cost to volume ratio for red candle,
Cost to volume ratio for blue candle,
Cost to volume ratio for green candle,
c.
To find which candle is the best buy
c.

Answer to Problem 15E
Blue Candle
Explanation of Solution
Given Information:
The cost to volume ratio,
For red candle
For blue candle
For green candle
Calculation:
Blue candle is best buy because cost to volume ratio is
which mean in 1$ person can buy 8 in3 wax.
Chapter 10 Solutions
ELEMENTARY+INTERMEDIATE ALGEBRA
Additional Math Textbook Solutions
Elementary Statistics: Picturing the World (7th Edition)
University Calculus: Early Transcendentals (4th Edition)
Algebra and Trigonometry (6th Edition)
- Assume that you fancy polynomial splines, while you actually need ƒ(t) = e²/3 – 1 for t€ [−1, 1]. See the figure for a plot of f(t). Your goal is to approximate f(t) with an inter- polating polynomial spline of degree d that is given as sa(t) = • Σk=0 Pd,k bd,k(t) so that sd(tk) = = Pd,k for tk = −1 + 2 (given d > 0) with basis functions bd,k(t) = Σi±0 Cd,k,i = • The special case of d 0 is trivial: the only basis function b0,0 (t) is constant 1 and so(t) is thus constant po,0 for all t = [−1, 1]. ...9 The d+1 basis functions bd,k (t) form a ba- sis Bd {ba,o(t), ba,1(t), bd,d(t)} of the function space of all possible sα (t) functions. Clearly, you wish to find out, which of them given a particular maximal degree d is the best-possible approximation of f(t) in the least- squares sense. _ 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 -0.1 -0.2 -0.3 -0.4 -0.5 -0.6 -0.7 -0.8 -0.9 -1 function f(t) = exp((2t)/3) - 1 to project -1 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 0 0.1 0.2 0.3 0.4 0.5…arrow_forwardAn image processor considered a 750×750 pixels large subset of an image and converted it into gray-scale, resulting in matrix gIn - a false-color visualization of gIn is shown in the top-left below. He prepared a two-dim. box filter f1 as a 25×25 matrix with only the 5×5 values in the middle being non-zero – this filter is shown in the top-middle position below. He then convolved £1 with itself to get £2, before convolving £2 with itself to get f3. In both of the steps, he maintained the 25×25 size. Next, he convolved gIn with £3 to get gl. Which of the six panels below shows g1? Argue by explaining all the steps, so far: What did the image processor do when preparing ₤3? What image processing operation (from gin to g1) did he prepare and what's the effect that can be seen? Next, he convolved the rows of f3 with filter 1/2 (-1, 8, 0, -8, 1) to get f4 - you find a visualization of filter f 4 below. He then convolved gIn with f4 to get g2 and you can find the result shown below. What…arrow_forward3ur Colors are enchanting and elusive. A multitude of color systems has been proposed over a three-digits number of years - maybe more than the number of purposes that they serve... - Everyone knows the additive RGB color system – we usually serve light-emitting IT components like monitors with colors in that system. Here, we use c = (r, g, b) RGB with r, g, bЄ [0,1] to describe a color c. = T For printing, however, we usually use the subtractive CMY color system. The same color c becomes c = (c, m, y) CMY (1-c, 1-m, 1-y) RGB Note how we use subscripts to indicate with coordinate system the coordinates correspond to. Explain, why it is not possible to find a linear transformation between RGB and CMY coordinates. Farbenlehr c von Goethe Erster Band. Roſt einen Defte mit fergen up Tübingen, is et 3. Cotta'fden Babarblung. ISIO Homogeneous coordinates give us a work-around: If we specify colors in 4D, instead, with the 4th coordinate being the homogeneous coordinate h so that every actual…arrow_forward
- Can someone provide an answer & detailed explanation please? Thank you kindly!arrow_forwardGiven the cubic function f(x) = x^3-6x^2 + 11x- 6, do the following: Plot the graph of the function. Find the critical points and determine whether each is a local minimum, local maximum, or a saddle point. Find the inflection point(s) (if any).Identify the intervals where the function is increasing and decreasing. Determine the end behavior of the graph.arrow_forwardGiven the quadratic function f(x) = x^2-4x+3, plot the graph of the function and find the following: The vertex of the parabola .The x-intercepts (if any). The y-intercept. Create graph also before solve.arrow_forward
- what model best fits this dataarrow_forwardRound as specified A) 257 down to the nearest 10’s place B) 650 to the nearest even hundreds, place C) 593 to the nearest 10’s place D) 4157 to the nearest hundreds, place E) 7126 to the nearest thousand place arrow_forwardEstimate the following products in two different ways and explain each method  A) 52x39 B) 17x74 C) 88x11 D) 26x42arrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education





