College Algebra (10th Edition)
10th Edition
ISBN: 9780321979476
Author: Michael Sullivan
Publisher: PEARSON
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Question
Chapter 4.4, Problem 15AE
To determine
To find: Constructing Rain Gutters. A rain gutter is to be made of aluminum sheets that are 12 inches wide by turning up the edges . See the illustration.
a. What depth will provide maximum cross sectional area and hence allow the most water to flow?
To determine
To find: Constructing Rain Gutters. A rain gutter is to be made of aluminum sheets that are 12 inches wide by turning up the edges . See the illustration.
b. What depths will allow at least 16 square inches of water to flow?
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Students have asked these similar questions
1) Express these large and small numbers from the Read and Study section in scientific
notation:
(a) 239,000 miles
(b) 3,800,000,000,000 sheets of paper
(c) 0.0000000000000000000000167 grams
2) Find all values for the variable x that make these equations true.
(a) 5x = 1
(b) 3x = 1/1
9
(c) 4* = 11/
4
(e) 4* = 64
(g) 10x = 1,000,000
(d) 3x=-3
(f) 2x =
=
8
(h) 10x = 0.001
(b)
4) Find an equation to fit each of the following graphs:
(a)
20
20
18
16
14
12
10
8
6
4
2
24
22
20
18
16
14
12
10
8
16
A
2
-3 -2
-1-0
2
3
4.
-1
0
1
2
3.
-2
-2
3) Which of the following are equivalent to 3? (There may be more than one that is
equivalent!)
-1
(a) (9)¯¹
3.
(b) (-3)-1
(c) (-3)
-1
(d) -(¯3)
(e) 11
3-1
(f) 3-4
Chapter 4 Solutions
College Algebra (10th Edition)
Ch. 4.1 - Prob. 1AYPCh. 4.1 - Prob. 2AYPCh. 4.1 - Prob. 3AYPCh. 4.1 - Prob. 4AYPCh. 4.1 - Prob. 5AYPCh. 4.1 - Prob. 6AYPCh. 4.1 - Prob. 7CVCh. 4.1 - Prob. 8CVCh. 4.1 - Prob. 9CVCh. 4.1 - Prob. 10CV
Ch. 4.1 - Prob. 11CVCh. 4.1 - Prob. 12CVCh. 4.1 - Prob. 13SBCh. 4.1 - Prob. 14SBCh. 4.1 - Prob. 15SBCh. 4.1 - Prob. 16SBCh. 4.1 - Prob. 17SBCh. 4.1 - Prob. 18SBCh. 4.1 - Prob. 19SBCh. 4.1 - Prob. 20SBCh. 4.1 - Prob. 21SBCh. 4.1 - Prob. 22SBCh. 4.1 - Prob. 23SBCh. 4.1 - Prob. 24SBCh. 4.1 - Prob. 25SBCh. 4.1 - Prob. 26SBCh. 4.1 - Prob. 27SBCh. 4.1 - Prob. 28SBCh. 4.1 - Prob. 29AECh. 4.1 - Prob. 30AECh. 4.1 - Prob. 31AECh. 4.1 - Prob. 32AECh. 4.1 - Prob. 33AECh. 4.1 - Prob. 34AECh. 4.1 - Prob. 35AECh. 4.1 - Prob. 36AECh. 4.1 - Prob. 37AECh. 4.1 - Prob. 38AECh. 4.1 - Prob. 39AECh. 4.1 - Prob. 40AECh. 4.1 - Prob. 41AECh. 4.1 - Prob. 42AECh. 4.1 - Prob. 43AECh. 4.1 - Prob. 44AECh. 4.1 - Prob. 45AECh. 4.1 - Prob. 46AECh. 4.1 - Prob. 47AECh. 4.1 - Prob. 48AECh. 4.1 - Prob. 49AECh. 4.1 - Prob. 50AECh. 4.1 - Prob. 51MPCh. 4.1 - Prob. 52MPCh. 4.1 - Prob. 53DWCh. 4.1 - Prob. 54DWCh. 4.1 - Prob. 55DWCh. 4.1 - Prob. 56DWCh. 4.1 - Prob. 57RYKCh. 4.1 - Prob. 58RYKCh. 4.1 - Prob. 59RYKCh. 4.1 - Prob. 60RYKCh. 4.2 - Prob. 1AYPCh. 4.2 - Prob. 2AYPCh. 4.2 - Prob. 3CVCh. 4.2 - Prob. 4CVCh. 4.2 - Prob. 5SBCh. 4.2 - Prob. 6SBCh. 4.2 - Prob. 7SBCh. 4.2 - Prob. 8SBCh. 4.2 - Prob. 9SBCh. 4.2 - Prob. 10SBCh. 4.2 - Prob. 11SBCh. 4.2 - Prob. 12SBCh. 4.2 - Prob. 13SBCh. 4.2 - Prob. 14SBCh. 4.2 - Prob. 15SBCh. 4.2 - Prob. 16SBCh. 4.2 - Prob. 17AECh. 4.2 - Prob. 18AECh. 4.2 - Prob. 19AECh. 4.2 - Prob. 20AECh. 4.2 - Prob. 21AECh. 4.2 - Prob. 22DWCh. 4.2 - Prob. 23DWCh. 4.2 - Prob. 24DWCh. 4.2 - Prob. 25DWCh. 4.2 - Prob. 26DWCh. 4.2 - Prob. 27RYKCh. 4.2 - Prob. 28RYKCh. 4.2 - Prob. 29RYKCh. 4.2 - Prob. 30RYKCh. 4.3 - Prob. 1AYPCh. 4.3 - Prob. 2AYPCh. 4.3 - Prob. 3AYPCh. 4.3 - Prob. 4AYPCh. 4.3 - Prob. 5CVCh. 4.3 - Prob. 6CVCh. 4.3 - Prob. 7CVCh. 4.3 - Prob. 8CVCh. 4.3 - Prob. 9CVCh. 4.3 - Prob. 10CVCh. 4.3 - Prob. 11CVCh. 4.3 - Prob. 12CVCh. 4.3 - Prob. 13SBCh. 4.3 - Prob. 14SBCh. 4.3 - Prob. 15SBCh. 4.3 - Prob. 16SBCh. 4.3 - Prob. 17SBCh. 4.3 - Prob. 18SBCh. 4.3 - Prob. 19SBCh. 4.3 - Prob. 20SBCh. 4.3 - Prob. 21SBCh. 4.3 - Prob. 22SBCh. 4.3 - Prob. 23SBCh. 4.3 - Prob. 24SBCh. 4.3 - Prob. 25SBCh. 4.3 - Prob. 26SBCh. 4.3 - Prob. 27SBCh. 4.3 - Prob. 28SBCh. 4.3 - Prob. 29SBCh. 4.3 - Prob. 30SBCh. 4.3 - Prob. 31SBCh. 4.3 - Prob. 32SBCh. 4.3 - Prob. 33SBCh. 4.3 - Prob. 34SBCh. 4.3 - Prob. 35SBCh. 4.3 - Prob. 36SBCh. 4.3 - Prob. 37SBCh. 4.3 - Prob. 38SBCh. 4.3 - Prob. 39SBCh. 4.3 - Prob. 40SBCh. 4.3 - Prob. 41SBCh. 4.3 - Prob. 42SBCh. 4.3 - Prob. 43SBCh. 4.3 - Prob. 44SBCh. 4.3 - Prob. 45SBCh. 4.3 - Prob. 46SBCh. 4.3 - Prob. 47SBCh. 4.3 - Prob. 48SBCh. 4.3 - Prob. 49SBCh. 4.3 - Prob. 50SBCh. 4.3 - Prob. 51SBCh. 4.3 - Prob. 52SBCh. 4.3 - Prob. 53SBCh. 4.3 - Prob. 54SBCh. 4.3 - Prob. 55SBCh. 4.3 - Prob. 56SBCh. 4.3 - Prob. 57SBCh. 4.3 - Prob. 58SBCh. 4.3 - Prob. 59SBCh. 4.3 - Prob. 60SBCh. 4.3 - Prob. 61SBCh. 4.3 - Prob. 62SBCh. 4.3 - Prob. 63MPCh. 4.3 - Prob. 64MPCh. 4.3 - Prob. 65MPCh. 4.3 - Prob. 66MPCh. 4.3 - Prob. 67MPCh. 4.3 - Prob. 68MPCh. 4.3 - Prob. 69MPCh. 4.3 - Prob. 70MPCh. 4.3 - Prob. 71AECh. 4.3 - Prob. 72AECh. 4.3 - Prob. 73AECh. 4.3 - Prob. 74AECh. 4.3 - Prob. 75AECh. 4.3 - Prob. 76AECh. 4.3 - Prob. 77AECh. 4.3 - Prob. 78AECh. 4.3 - Prob. 79AECh. 4.3 - Prob. 80AECh. 4.3 - Prob. 81AECh. 4.3 - Prob. 82AECh. 4.3 - Prob. 83AECh. 4.3 - Prob. 84AECh. 4.3 - Prob. 85AECh. 4.3 - Prob. 86AECh. 4.3 - Prob. 87AECh. 4.3 - Prob. 88AECh. 4.3 - Prob. 89AECh. 4.3 - Prob. 90AECh. 4.3 - Prob. 91AECh. 4.3 - Prob. 92AECh. 4.3 - Prob. 93AECh. 4.3 - Prob. 94DWCh. 4.3 - Prob. 95DWCh. 4.3 - Prob. 96DWCh. 4.3 - Prob. 97DWCh. 4.3 - Prob. 98DWCh. 4.3 - Prob. 99DWCh. 4.3 - Prob. 100DWCh. 4.3 - Prob. 101RYKCh. 4.3 - Prob. 102RYKCh. 4.3 - Prob. 103RYKCh. 4.3 - Prob. 104RYKCh. 4.4 - Prob. 1AYPCh. 4.4 - Prob. 2AYPCh. 4.4 - Prob. 3AECh. 4.4 - Prob. 4AECh. 4.4 - Prob. 5AECh. 4.4 - Prob. 6AECh. 4.4 - Prob. 7AECh. 4.4 - Prob. 8AECh. 4.4 - Prob. 9AECh. 4.4 - Prob. 10AECh. 4.4 - Prob. 11AECh. 4.4 - Prob. 12AECh. 4.4 - Prob. 13AECh. 4.4 - Prob. 14AECh. 4.4 - Prob. 15AECh. 4.4 - Prob. 16AECh. 4.4 - Prob. 17AECh. 4.4 - Prob. 18AECh. 4.4 - Prob. 19AECh. 4.4 - Prob. 20AECh. 4.4 - Prob. 21AECh. 4.4 - Prob. 22AECh. 4.4 - Prob. 23AECh. 4.4 - Prob. 24AECh. 4.4 - Prob. 25AECh. 4.4 - Prob. 26AECh. 4.4 - Prob. 27MPCh. 4.4 - Prob. 28MPCh. 4.4 - Prob. 29MPCh. 4.4 - Prob. 30MPCh. 4.4 - Prob. 31DWCh. 4.4 - Prob. 32RYKCh. 4.4 - Prob. 33RYKCh. 4.4 - Prob. 34RYKCh. 4.4 - Prob. 35RYKCh. 4.5 - Prob. 1AYPCh. 4.5 - Prob. 2AYPCh. 4.5 - Prob. 3SBCh. 4.5 - Prob. 4SBCh. 4.5 - Prob. 5SBCh. 4.5 - Prob. 6SBCh. 4.5 - Prob. 7SBCh. 4.5 - Prob. 8SBCh. 4.5 - Prob. 9SBCh. 4.5 - Prob. 10SBCh. 4.5 - Prob. 11SBCh. 4.5 - Prob. 12SBCh. 4.5 - Prob. 13SBCh. 4.5 - Prob. 14SBCh. 4.5 - Prob. 15SBCh. 4.5 - Prob. 16SBCh. 4.5 - Prob. 17SBCh. 4.5 - Prob. 18SBCh. 4.5 - Prob. 19SBCh. 4.5 - Prob. 20SBCh. 4.5 - Prob. 21SBCh. 4.5 - Prob. 22SBCh. 4.5 - Prob. 23MPCh. 4.5 - Prob. 24MPCh. 4.5 - Prob. 25MPCh. 4.5 - Prob. 26MPCh. 4.5 - Prob. 27MPCh. 4.5 - Prob. 28MPCh. 4.5 - Prob. 29MPCh. 4.5 - Prob. 30MPCh. 4.5 - Prob. 31MPCh. 4.5 - Prob. 32MPCh. 4.5 - Prob. 33AECh. 4.5 - Prob. 34AECh. 4.5 - Prob. 35AECh. 4.5 - Prob. 36AECh. 4.5 - Prob. 37AECh. 4.5 - Prob. 38AECh. 4.5 - Prob. 39DWCh. 4.5 - Prob. 40DWCh. 4.5 - Prob. 41DWCh. 4.5 - Prob. 42DWCh. 4.5 - Prob. 43DWCh. 4.5 - Prob. 44RYKCh. 4.5 - Prob. 45RYKCh. 4.5 - Prob. 46RYKCh. 4.5 - Prob. 47RYK
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Similar questions
- Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations? 7 y 6 5 4 3 2 -6-5-4-3-2-1 1+ -2 1 2 3 4 5 6 x + 2y = 8 2x + 4y = 12 The slopes are different, and the y-intercepts are different. The slopes are different, and the y-intercepts are the same. The slopes are the same, and the y-intercepts are different. O The slopes are the same, and the y-intercepts are the same.arrow_forwardChoose the function to match the graph. -2- 0 -7 -8 -9 --10- |--11- -12- f(x) = log x + 5 f(x) = log x - 5 f(x) = log (x+5) f(x) = log (x-5) 9 10 11 12 13 14arrow_forwardWhich of the following represents the graph of f(x)=3x-2? 7 6 5 4 ++ + + -7-6-5-4-3-2-1 1 2 3 4 5 6 7 -2 3 -5 6 -7 96 7 5 4 O++ -7-6-5-4-3-2-1 -2 -3 -4 -5 -7 765 432 -7-6-5-4-3-2-1 -2 ++ -3 -4 -5 -6 2 3 4 5 6 7 7 6 2 345 67 -7-6-5-4-3-2-1 2 3 4 5 67 4 -5arrow_forward
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