A mason wants to start building a stone pyramid the base of which has 551 blocks and the top 26th layer has only 1. If the numbe

Answer:

The provided radical equation has no solution.

x = 225/16 is not a valid solution.

Step-by-step explanation:

The given equation is  

Add 3 to both sides of the equation

Squaring both sides

Divide both sides by 16

Check by substituting the value of x back into the original equation to confirm the extraneous solution.

Since -18 is not equal to 12, thus the value of x fails to satisfy the equation.

Consequently, x = 225/16 is an extraneous solution.

Step-by-step explanation:

Solution:

We know, g(x) = f(x) + k --------(1)

It is given that f(x) = (x+2)

and g(x) = (x+5)

Substituting f(x) and g(x) into equation (1):

→ (x+5) = (x+2) + k

→ = k

→ k =

Thus, the value of k is 1.

Answer:

The formula representing the penny's height as a function of time is:

After 7 seconds, the height of the penny will reach 667 feet.

Step-by-step explanation:

The penny experiences free fall.

With an initial velocity of zero and an initial height of h(0)=1,451.

Gravity acts as the acceleration, measured as g=32 ft/s^2.

The model can be initiated by analyzing speed:

Then, the height is expressed as:

The height of the penny at approximately 7 seconds can be calculated as:

After 7 seconds, the penny will stand at a height of 667 feet.