Find an equation of a sphere with the given radius r and center C.

What will be an ideal response?


(x-3)² + (y+1)² + z² = 7

Mathematics

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Use the determinant feature of a graphing calculator to solve the system by Cramer's rule . (Round to one decimal place.)1.8x + 1.3y - 4.6z = 3.24.1x - 6.4y + 1.5z = -3.62.0x + 4.0y + 4.7z = 8.2

A. {(1.1, 1.3, 0.1)} B. {(4.6, 5.3, 0.5)} C. {(2.3, 2.7, 0.3)} D. {(0.6, 0.7, 0.1)}

Mathematics

Solve the problem.A law firm has two senior partners (A and B) and three associate partners (C, D, and E). In order for any decision to be made concerning the practice, both senior partners and at least two associate partners must agree. Compute the Banzhaf power index for each voter. If another senior partner, F, is added, compute the new Banzhaf power index for each voter assuming that two senior partners and two associates must agree.

A. Prior: A and B have index of  ; C, D, and E have index of 
New: A, B, C, D, E, and F have index of .
B. Prior: A, B, and C have index of  ; D and E have index of .
New: A, B, C, D, E, and F have index of .
C. Prior: A and B have index of  ; C, D, and E have index of 
New: A, B, C, D, E, and F have index of .
D. Prior: A has index of  ; B, C, D, and E have index of 
New: A, B, C, D, E, and F have index of .

Mathematics

Find by implicit differentiation.

10 cos x siny = 16

Mathematics

Give a formula for a piecewise-defined function f for the graph shown.

A.
f(x) =  
B.
f(x) =     
C.   
f(x) =  
D.   
f(x) =    

Mathematics