Mathematics: The function f is defined by the following rule. f(x) = 2x-5 Complete the function table.

The function f is defined by the following rule.

Ответ:

ann6083

25.03.2022

The total number of cannonballs in the stack is 385 and this can be determined by using the arithmetic operations.

Given :

You are Miguel Cervantes de Navas y Colon, captain in the Royal Spanish Army in Sevilla in the year 1842.Outside your barracks window is a stack of cannonballs.

The following steps can be used in order to determine the total number of cannonballs:

Step 1 - The first layer of the stack of cannonballs there are a total of (1^2) 1 cannonball.

Step 2 - The second layer of the stack of cannonballs there are a total of (2^2) 4 cannonballs.

Step 3 - The third layer of the stack of cannonballs there are a total of (3^2) 9 cannonballs.

Step 4 - In the last layer that is, the 10th layer of the stack of cannonballs there are a total of (10^2) 100 cannonballs.

Step 5 - So, the generalized formula to count the total number of cannonballs in the stack is given below:

$\rm Total \; number \; of \; Cannonballs=\dfrac{n(n+1)(2n+1)}{6}$

where 'n' is the total number of layers.

Step 6 - Now, substitute the value of 'n' in the above formula.

$\rm Total \; number \; of \; Cannonballs=\dfrac{10(10+1)(2(10)+1)}{6}$

Total number of Cannonballs = 385

Therefore, the correct option is B).

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The function f is defined by the following rule.
f(x) = 2x-5
Complete the function table.

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