i.
To graph: The transformed data pairs (lnC,lnW).
Given:
The data pairs (173,710),(135,448),(93.5,143),(13,0.399),(28,9.68).
Concept Used:
To get the
Calculation:
Use the calculator to create the table of (lnC,lnW) data pairs.
lnC | 5.15 | 4.905 | 4.537 | 2.564 | 3.332 |
lnW | 6.565 | 6.105 | 4.963 | −0.9187 | 2.270 |
The following graph has been obtained using data pairs:
ii.
To find: The power model for original data.
y=0.000240x2.893
Given:
The data pairs (173,710),(135,448),(93.5,143),(13,0.399),(28,9.68).
Concept Used:
- Use the point-slope formula y−y1=m(x−x1) to determine the equation of a line.
- Use the formulam=y2−y1x2−x1 to compute the slope where (x1,y1) and (x2,y2) are coordinates.
Calculation:
Select any two points on the line from transformed data pairs. Let (x1,y1)=(5.15,6.565) and (x2,y2)=(2.564,−0.9187) . Substitute the known values in the point-slope formula to obtain the equation and then solve for y to get the power model.
lny−6.565=(−0.9187−6.5652.564−5.15)(lnx−5.15)lny−6.565=2.893(lnx−5.15)lny=lnx2.893−8.333
Solve for y.
y=elnx2.893−8.333y=elnx2.893e−8.333y=0.000240x2.893
Conclusion:
The power model is y=0.000240x2.893.
iii.
To find: The weight of cheetah for given circumference.
49.49 Kg
Given:
The circumference is 68.7 mm.
Concept Used:
- Use the obtained power model W=0.000240C2.893 to compute weight.
Calculation:
W=0.000240C2.893W=0.000240(68.7)2.893W=49.49
Conclusion:
The weight of the cheetah is 49.49 Kg.
Chapter 4 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
- 1. For the following subsets of R3, explain whether or not they are a subspace of R³. (a) (b) 1.1 0.65 U = span -3.4 0.23 0.4 -0.44 0 (})} a V {(2) | ER (c) Z= the points in the z-axisarrow_forwardSolve the following equation forx. leave answer in Simplified radical form. 5x²-4x-3=6arrow_forwardMATCHING LIST Question 6 Listen Use the given equations and their discriminants to match them to the type and number of solutions. 00 ed two irrational solutions a. x²+10x-2=-24 two rational solutions b. 8x²+11x-3=7 one rational solution c. 3x²+2x+7=2 two non-real solutions d. x²+12x+45 = 9 DELL FLOWER CHILD 10/20 All Changes S $681 22991arrow_forward
- 88 MULTIPLE CHOICE Question 7 Listen The following irrational expression is given in unsimplified form with four op- tions in simplified form. Select the correct simplified form. Select only one option. A 2±3√√2 B 4±√3 2±√ √3 D 1±√√3 DELL FLOWER CHILD 11/200 4 ± √48 4 ✓ All Changes Saved 165arrow_forwardUse the graph of y = f(x) to answer the following. 3- 2 -4 -2 -1 1 2 3 4 -1 2 m -3- + (d) Find all x for which f(x) = -2. If there is more than one value, separate them with commas or write your answer in interval notation, if necessary. Select "None", if applicable. Value(s) of x for which f(x)=-2: | (0,0) (0,0) (0,0) (0,0) 0,0... -00 None (h) Determine the range of f. The range is (0,0) Garrow_forwardWhat is g(f(4))arrow_forward
- 10) Multiply (8m + 3)² A) 8m²+11m+6 B) m² + 48m+9 C) 64m²+48m+9 D) 16m²+11m+6arrow_forwardLet R be field and X= R³/s Vector space over R M=(a,b,c)labic, e Rra+b= 3- <3 Show that Ms and why with proof. 1) is convexset and affine set of botost ii) is blanced set and symmetirs set of x iii) is hy per space and hyper plane ofx or hot iii) find f:MR st kerf = M 18/103 and finnd fiM→R/{0} st M= {xEX, f(t) = x, texiαER? jiii) show that Mis Maxsubspace or not and Mis a max. affine set or not.arrow_forwardFind The partial fraction decomposition for each The following 2× B) (x+3) a 3 6 X-3x+2x-6arrow_forward
- 1) Find the partial feraction decomposition for each of 5- X 2 2x+x-1 The following: 3 B) 3 X + 3xarrow_forwardT={(−7,1),(1,−1),(6,−8),(2,8)} Find the domain and range of the inverse. Express your answer as a set of numbers.arrow_forwardT={(−7,1),(1,−1),(6,−8),(2,8)}. Find the inverse. Express your answer as a set of ordered pairs.arrow_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





