Option C:
is the predicted population when 
Explanation:
The regression equation for an exponential data is 
Where x is the number of years and
y is the population
We need to determine the predicted population when 
The population x can be determined by substituting
in the equation 
Thus, we have,



Using the logarithmic definition
then 


Rounding off to the nearest whole number, we get,

Thus, the predicted population when
is 316
Hence, Option C is the correct answer.
Answer: 30
Step-by-step explanation:
Given :The weight of a bag of golf balls varies directly as the number of golf balls in the bag.
Let x be the number of golf balls in a bag that weighs 1,110 grams.
Then we have the following direct variation equation,

Multiply 1110 both sides , we get

Hence, there are 30 balls in the bag.
<span>The nearest perfect square that is less than 22 is 16, whose square root is 4.
</span><span>Add the square root from step 1 to 3/4 to get 4.75.
</span>Calculate the quantity one-half times the square of divided by the value found in step 2, or 4.75. (1/2 * (3/4)^2) <span>÷ 4.75 = 0.06.
</span>
Subtract the value found in step 3 from the value found in step 2, or 4.75.
The approximate value of <span>√22 is 4.69.</span>
The solution is <span>B. π/12+nπ
</span>proof
sinx cosx = 1/4 is equivalent to 2 <span>sinx cosx = 1/2 or sin2x =1/2
so 2x = arcsin(1/2) = </span>π/6 + 2nπ, so x = π/12+nπ