Answer:
A. The number quadrupled each week
Step-by-step explanation:
f(x)= 3(4)^x
As per the function, each week number increases 4 times
So the answer choice is A
Answer:
Length is 20 m and width is 4 m.
Step-by-step explanation:
Given:
Perimeter of the rectangular alley, 
Length is 5 times the width.
Let width be
.
So, as per question,
Length,
Now, perimeter of rectangle is given as:

Plug in 48 for
,
for
and
for b.

Therefore, width is 4 m.
Length is
m.
The answer is 32.72 degree.
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Answer:
5
Step-by-step explanation:
This is a right triangle, but note that you only know the measurement of one angle, which is 90 degrees.
Use the following formula to solve:
a² + b² = c²
In which:
a & b = shorter sides
c = hypotenuse
Plug in the corresponding numbers to the corresponding variables:
(3)² + (4)² = ?²
Solve. Remember to follow PEMDAS. First, solve the exponents, then add:
(3)² = (3 * 3) = (9)
(4)² = (4 * 4) = (16)
9 + 16 = ?²
25 = ?²
Isolate "?". Root both sides:
√(25) = √(?²)
? = √25 = √(5 * 5) = 5
Your missing side's measurement is 5.
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ANSWER

EXPLANATION
The given equation is

Divide both sides by


Cancel out common factors on the left hand side,

For this solution to be a whole number, then

should be a factor of

.
The reason is that, factors of 6 will divide exactly in to 6 without a remainder, making the answer a whole number.
The whole numbers that are factors of 6 are,

Note that, the set of whole numbers are,
{

}