PLEASE HELP 60 POINTS!!!!!!Sal’s Sandwich Shop sells wraps and sandwiches as part of its lunch specials.

Mathematics

1 answer:

Zanzabum3 years ago

8 0

2x + 3y = 1,470

To solve using the slope intercept method, we need to solve for y.

First, subtract 2x from each side.

3y = -2x +1470

The, we need to divide both sides of the equation by by 3 to solve for y

y = -2/3 x + 490.

We know the y intercept is 470, which means on the y axis we place at point at positive 490. The slope is -2/3. We go down 2 units and over to the right 3 units and place a point. We draw a line connecting these two points extending only to the right until it reaches the x axis. We cannot have negative x because we cannot sell negative lunch specials. We cannot have negative y, because y is the number of specials sold.

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What is the mathematical relationship between the atomic radius (r) and the lattice parameter (a0) in the BCC structure? a. b. c

ryzh [129]

Answer: Lattice parameter, a = (4R)/(√3)

Step-by-step explanation:

The typical arrangement of atoms in a unit cell of BCC is shown in the first attachment.

The second attachment shows how to obtain the value of the diagonal of the base of the unit cell.

If the diagonal of the base of the unit cell = x

(a^2) + (a^2) = (x^2)

x = a(√2)

Then, diagonal across the unit cell (a cube) makes a right angled triangle with one side of the unit cell & the diagonal on the base of the unit cell.

Let the diagonal across the cube be y

Pythagoras theorem,

(a^2) + ((a(√2))^2) = (y^2)

(a^2) + 2(a^2) = (y^2) = 3(a^2)

y = a√3

But the diagonal through the cube = 4R (evident from the image in the first attachment)

y = 4R = a√3

a = (4R)/(√3)

QED!!!