Answer:
16,384 or 2^14
Step-by-step explanation:
4^12= 4*4*4*4*4*4*4*4*4*4*4*4=16,777,216
4^5= 4*4*4*4*4=1024
16,777,216/1024=16,384
16,384=2^14
Let's create expressions and equations to model this situation. Let Anthony's age be a.
"Jim is 3 times as old as his cousin, Anthony." Jim's age is 3a.
"The difference in their age is 18." 3a - a = 18
How old is Jim?
Let's solve the above equation for a to first find Anthony's age.
3a - a = 18
2a = 18
a = 9
Remember, Jim's age is represented by the expression 3a. Substitute Anthony's age, 9, into the expression to find Jim's age.
3a
3(9)
27
Answer:
Jim is 27 years old.
Answer:
134.73
Step-by-step explanation:
Solving for m:
243 = m + 108.27
243 - 108.27 = m + 108.27 - 108.27
134.73 = m
Answer:
Vertex form.
Step-by-step explanation:
You are talking about the vertex form for a parabola.
tells us:
A) The vertex is (h,k).
B) Open up (if a is positive) or open down (if a is negative)
C) a also tells us how much it is vertically stretched or compressed.