You a miguel cervantes de navas y colon, captain in the royal spanish army in seville in the year 1842. outside your barracks window is a stack of cannonballs, as shown in the illustration. on an idle afternoon you decide to calculate the number of cannonballs in the stack. what is the number of cannonballs.

650 cannonballs

A

Step-by-step explanation:

The stack of Cannonballs is really the sum of squares.

The top layer is 1^2

The second layer is 2^2

The Third layer is 3^2

layer 12 ( the bottom layer) is 12^2

The formula for this is

n*(n + 1)*(2n + 1)/6

n = 12

12(12 + 1)(2*12 + 1)/6

12 * 13 * 25/6

650

The sum of this pyramid is 650 Cannonballs

one of each metals

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.