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:

Step-by-step explanation:
The picture of the question in the attached figure
step 1
Find the value of x
Let
O ----> the center of the circle
we know that
Triangle BOC≅Triangle COD
----> by central angle
----> by central angle

therefore

substitute the given values

solve for x

step 2
Find the measure of angle BAD
we know that
The inscribed angle is half that of the arc it comprises.
so
![m\angle BAD=\frac{1}{2} [arc\ BC+arc\ CD]](https://tex.z-dn.net/?f=m%5Cangle%20BAD%3D%5Cfrac%7B1%7D%7B2%7D%20%5Barc%5C%20BC%2Barc%5C%20CD%5D)


substitute
![m\angle BAD=\frac{1}{2} [73^o+73^o]=73^o](https://tex.z-dn.net/?f=m%5Cangle%20BAD%3D%5Cfrac%7B1%7D%7B2%7D%20%5B73%5Eo%2B73%5Eo%5D%3D73%5Eo)
Answer:
Correct solution:
45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 divided by 0.621 = 200.64
Step-by-step explanation:
they rode 45.7, 40.9, and 38 miles
= (45.7 + 40.9 + 38) miles
= 124.6 miles
Convert 124 .6 miles to kilometers
1 kilometer = 0.621 miles
124.60 miles = 124.60 / 0.621
= 200.64 kilometers
This is the correct solution because he divided 124.60 miles by 0.621
45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 divided by 0.621 = 200.64
Answer with Step-by-step explanation:
We have to prove that
by using Euler's formula
Euler's formula :

By using Euler's identity, we get





Comparing imaginary part on both sides
Then, we get

Hence, proved.