Answer: 267.947 (or 267.95) inches^3
Step-by-step explanation:
The formula for the volume of a sphere is 
.
To find your radius (r), divide the diameter of 8 inches by 2. <em>The radius is 4 inches.</em>
Plug in your numbers to the volume equation to get 
. The first step is to cube 4 (4*4*4) to get <em>64</em>. Now your equation is 
.
Multiply 3.14 and 64 to get <em>200.96</em>. The equation is now 
or 
.
Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of 
.
Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.
This represents the function : y = log₆ (x).
Proof:
Rewrite this logarithmic function into an exponential form:
y = log₆ (x) ↔ x = 6^y
On the graph we see 2 major points A(1,0) and B(6,1). Plug them in x=6^y
1 = 6⁰ = 1 (true)
6 = 6¹ True, then this confirm that the graph equation is y = log₆ (x)
Answer: The answer is that the length is square ft, and the width is .
Step-by-step explanation:
Answer:
C. 3x
Step-by-step explanation:
The first two choices give 1 solution each.
The last choice gives an infinite number of solutions.
Choice C. gives no solution.
3x + 9 = 3x
Subtract 3x from both sides.
9 = 0
Since 9 = 0 is false, equation 3x + 9 = 3x has no solution.
Step-by-step explanation:
