Intermediate Algebra: Math 1075
4th Edition
ISBN: 9781259541650
Author: O'Neill & Hyde Miller
Publisher: McGraw Hill
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Chapter R4, Problem 34PE
To determine
The simplified expression by removing the parenthesis using the distributive property
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Last Chance Mine (LCM) purchased a coal deposit for $2,918,300. It estimated it would extract 18,950 tons of coal from the
deposit. LCM mined the coal and sold it, reporting gross receipts of $1.24 million, $13 million, and $11 million for years 1
through 3, respectively. During years 1-3, LCM reported net income (loss) from the coal deposit activity in the amount of
($11,400), $550,000, and $502,500, respectively. In years 1-3, LCM extracted 19,950 tons of coal as follows:
(1) Tons of
Coal
18,950
Depletion
(2) Basis (2)(1) Rate
$2,918,300 $154.00
Tons Extracted per Year
Year 1
4,500
Year 2
8,850
Year 3
6,600
Note: Leave no answer blank. Enter zero if applicable. Enter your answers in dollars and not in millions of dollars.
a. What is LCM's cost depletion for years 1, 2, and 3?
Cost Depletion
Year 1
Year 2
Year 3
Consider the following equation.
log1/9'
=6
Find the value of x.
Round your answer to the nearest thousandth.
x =
✓
Expanding a logarithmic expression: Problem type 3
Use the properties of logarithms to expand the following expression.
4(8+x)²
log
5
)
Your answer should not have radicals or exponents.
You may assume that all variables are positive.
log
4(8 +
X
5
-x)²
Chapter R4 Solutions
Intermediate Algebra: Math 1075
Ch. R4 - Prob. 1PECh. R4 - Prob. 2PECh. R4 - Prob. 3PECh. R4 - For Exercises 2-4, simplify.
4.
Ch. R4 - Prob. 5PECh. R4 - For Exercises 5-8, write the set in interval...Ch. R4 - Prob. 7PECh. R4 - Prob. 8PECh. R4 - For Exercises 9-12:
a. Determine the number of...Ch. R4 - Prob. 10PE
Ch. R4 - Prob. 11PECh. R4 - Prob. 12PECh. R4 - Prob. 13PECh. R4 - Prob. 14PECh. R4 - Prob. 15PECh. R4 - Prob. 16PECh. R4 - Prob. 17PECh. R4 - Prob. 18PECh. R4 - Prob. 19PECh. R4 - Prob. 20PECh. R4 - Prob. 21PECh. R4 - Prob. 22PECh. R4 - Prob. 23PECh. R4 - Prob. 24PECh. R4 - Prob. 25PECh. R4 - Prob. 26PECh. R4 - Prob. 27PECh. R4 - Prob. 28PECh. R4 - Prob. 29PECh. R4 - Prob. 30PECh. R4 - Prob. 31PECh. R4 - Prob. 32PECh. R4 - Prob. 33PECh. R4 - Prob. 34PECh. R4 - Prob. 35PECh. R4 - Prob. 36PECh. R4 - Prob. 37PECh. R4 - Prob. 38PECh. R4 - Prob. 39PECh. R4 - Prob. 40PECh. R4 - Prob. 41PECh. R4 - Prob. 42PECh. R4 - Prob. 43PECh. R4 - Prob. 44PECh. R4 - Prob. 45PECh. R4 - Prob. 46PECh. R4 - Prob. 47PECh. R4 - Prob. 48PECh. R4 - Prob. 49PECh. R4 - Prob. 50PECh. R4 - Prob. 51PECh. R4 - Prob. 52PECh. R4 - Prob. 53PECh. R4 - Prob. 54PECh. R4 - Prob. 55PECh. R4 - Prob. 56PECh. R4 - Prob. 57PECh. R4 - Prob. 58PECh. R4 - Prob. 59PECh. R4 - Prob. 60PECh. R4 - Prob. 61PECh. R4 - Prob. 62PECh. R4 - Prob. 63PECh. R4 - Prob. 64PECh. R4 - Prob. 65PECh. R4 - Prob. 66PECh. R4 - Prob. 67PECh. R4 - Prob. 68PECh. R4 - Prob. 69PECh. R4 - Prob. 70PECh. R4 - Prob. 71PECh. R4 - Prob. 72PECh. R4 - Prob. 73PECh. R4 - Prob. 74PECh. R4 - Prob. 75PECh. R4 - Prob. 76PECh. R4 - Prob. 77PECh. R4 - Prob. 78PECh. R4 - Prob. 79PECh. R4 - Prob. 80PECh. R4 - Prob. 81PECh. R4 - Prob. 82PECh. R4 - Prob. 83PECh. R4 - Prob. 84PECh. R4 - Prob. 85PECh. R4 - Prob. 86PECh. R4 - Prob. 87PE
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- Expanding a logarithmic expression: Problem type 2 Use the properties of logarithms to expand the following expression. 3 yz log 5 x 0/3 An Each logarithm should involve only one variable and should not have any radicals or exponents. You may assume that all variables are positive. log yz 3 厚 5 Explanation Check log ☑ 2025 MG ¿W MIII LLC. All Rights Reserved. Terms of Use | Privacy Centerarrow_forwardWhat is the domain and range, thank you !!arrow_forwardAssume a bivariate patch p(u, v) over the unit square [0, 1]² that is given as a tensor product patch where u-sections (u fixed to some constant û; v varying across [0, 1]) are quadratic polynomials Pu:û(v) = p(û, v) while v-sections are lines pv:ô (u) = p(u, v). The boundary lines pv:o(u) and pv:1 (u) are specified by their end points p(0,0) 0.8 and p(1,0) 0.2 as well as p(0, 1) 0.3 and p(1, 1) = 0.8. The boundary quadratics pu:o(v) and pu:1 (v) interpolate p(0,0.5) = 0.1 and p(1, 0.5) = 0.9 in addition to the above given four corner-values. = = = Use Pu:û(v) = (1, v, v² ) Mq (Pu:û(0), Pu:û (0.5), Pu:û(1)) with Ma = 1 0 0 -3 4-1 2 4 2 (Pv:ô as well as pu: (u) = (1, u) M₁ (pv:v (0), P: (1)) with M₁ = = (19) 0 to formulate p(u, v) using the "geometric input" G with G = = (P(0,0%) p(0,0) p(0,0.5) p(0,1) ) = ( 0.39 0.8 0.1 0.3 0.2 0.9 0.8 p(1,0) p(1, 0.5) p(1, 1) See the figure below for (left) a selection of iso-lines of p(u, v) and (right) a 3D rendering of p(u, v) as a height surface…arrow_forward
- O Functions Composition of two functions: Domain and... Two functions ƒ and g are defined in the figure below. 76 2 8 5 7 8 19 8 9 Domain of f Range of f Domain of g Range of g 3/5 Anthony Find the domain and range of the composition g.f. Write your answers in set notation. (a) Domain of gof: ☐ (b) Range of gof: ☐ Х Explanation Check 0,0,... Español لكا ©2025 McGraw Hill LLC. All Rights Reserved Torms of lico Privacy Contor Accessibility.arrow_forwardTwo functions ƒ and g are defined in the figure below. g 6 6 7 8 8 8 9 Domain of f Range of f Domain of g Range of g Find the domain and range of the composition g.f. Write your answers in set notation. (a) Domain of gof: (b) Range of gof: ☐ ☑ 0,0,...arrow_forwardDone Oli ○ Functions Composition of two functions: Domain and range Two functions 0 g 3 4 6 www-awy.aleks.com g and ƒ are defined in the figure below. 8 8 9 Domain of g Range of g Domain of f Range of f 0/5 Anthony Find the domain and range of the composition f.g. Write your answers in set notation. (a) Domain of fog: ☐ (b) Range of fog: ☐ Х Explanation Check 0,0,... Español © 2025 McGraw HillLLC. AIL Rights Reserved Terms of Use | Privacy Center Accessibilityarrow_forward
- Use the graph of the function y = g(x) below to answer the questions. y' -5 -4 4- 3- 27 -2 -3+ -4 x 4 (a) Is g(-2) negative? Yes No (b) For which value(s) of x is g(x) > 0? Write your answer using interval notation. ☐ (c) For which value(s) of x is g(x) = 0? If there is more than one value, separate them with commas. 0,0... (0,0) (0,0) (0,0) (0,0) OVO 0arrow_forwardIt is given that E4E3E2E1A=⎡⎣⎢⎢⎢−1002−40488⎤⎦⎥⎥⎥. Here the matrices E4, E3, E2, and, E1 are: E1=⎡⎣⎢⎢⎢100010008⎤⎦⎥⎥⎥E2=⎡⎣⎢⎢⎢100010−501⎤⎦⎥⎥⎥E3=⎡⎣⎢⎢⎢1000−10001⎤⎦⎥⎥⎥E4=⎡⎣⎢⎢⎢001010100⎤⎦⎥⎥⎥arrow_forwardIt is given that E4E3E2E1A=⎡⎣⎢⎢⎢−1002−40488⎤⎦⎥⎥⎥. Here the matrices E4, E3, E2, and, E1 are: E1=⎡⎣⎢⎢⎢100010008⎤⎦⎥⎥⎥E2=⎡⎣⎢⎢⎢100010−501⎤⎦⎥⎥⎥E3=⎡⎣⎢⎢⎢1000−10001⎤⎦⎥⎥⎥E4=⎡⎣⎢⎢⎢001010100⎤⎦⎥⎥⎥ What is the determinant of A?arrow_forward
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