Answer:
225
Step-by-step explanation:
3240k = 2×2×2×3×3×3×3×5×k
Every factor should be in groups of 3
(3×5)² = k
k = 225
Answer: Second option is correct.
Explanation:
Since we have given that

And 
To find the remainder, we use the Remainder Theorem, which states that when f(x) is divided by (x-c) then the f(c) is the required remainder.
So,
Here, we have,

So, we will find f(-2) which will give us the required remainder,

Hence, Second option is correct.
Answer:

Step-by-step explanation:
From the table given in the question,
x y Difference Ratio
1 12 - -
2 36 36-12 = 24 
3 108 108-36 = 72 
4 324 324-108 = 216 
5 972 972-324 = 648 
There is a common ratio of 3 in each successive term.
Therefore, data given in the table will represent an exponential function.

For a point 

------(1)
For another point of the table
,

--------(2)
Equation (2) divided by equation (1)


From equation (1),


Therefore, exponential function will be,

.72
.725 would be less because it has more behind the decimal.
.72 would be more because there are only 2 numbers behind the decimal
To find this, turn the word question into an equation.
"One less than" means - 1, which is 1 being subtracted from something.
"half a number" means 1/2x, since 1/2 is half and x is unknown.
"is 12" means = 12, which is something equals 12.
Putting this in order would be 1/2x, then - 1, then = 12.
As an equation, this is 1/2x - 1 = 12.
So the equation is 1/2x - 1 = 12
Now you must find the number by solving this equation.
1/2x - 1 = 12
First, add 1 to both sides.
12 + 1 = 13
1/2x = 13
Now multiply both sides by 2.
This way, x will be isolated since 1/2x • 2 = 1x, and 1x = x.
13 • 2 = 26
x = 26
The number is 26.