Let S be the sphere of radius 1 centered at (1, 4, 7). Find the distance from S to the plane x + y + z = 0. (HINT: Use Lagrange multipliers to find the distance from the plane to the center of the sphere.) Incorrect: Your answer is incorrect.

5.93 unit distance

Step-by-step explanation:

First we would need to calculate the distance between the sphere center and the plane x + y + z = 0

where A = 1, B = 1, C = 1 are the coefficients of the plane x + y + z = 0

and x = 1, y = 4, z = 7 are the coordinates of the center of the sphere

Since the sphere has a radius of 1, then the distance from the plane to the surface of sphere would then be:

6.93 - 1 = 5.93

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt