<u>ANSWER</u>
<u>EXPLANATION</u>
The given expression is
Recall that:
We use the law of exponents to get
Let us multiply in the exponents to get:
Recall again that:
This implies that:
We expand the power to get:
We multiply out to get:
The table shows the population of a school for the years 1992-2008. Year: 1992, 1994 1996, 1998, 2000, 2002, 2004, 2006, 2008. P
opulation: 628, 656, 692,751, 793, 840 ,868, 902, 940. Which of the following is the best prediction for the population in 2012? A. 1000 B. 1100 C. 1150 D. 2010
2 answers:
Answer:
(A) 1000
Step-by-step explanation:
We will form a graph of the points give.
Let x denotes the year and y denotes the population in the corresponding year.
We get the best fir line as :
y =20.225x-39664
Now, to evaluate the population in 2012, we will put x=2012
y = 20.225(2012) - 39664
y = 1028.7
So the best prediction for the population in 2012 is 1000.
Hence, option (A) is correct.
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Answer: option D
Step-by-step explanation:
Remember the cosine identity:
Given the right triangle DFE shown in the image, you can identify that the adjacent side and the hypotenuse for the angle F of this triangle are:
Now you can substitute values into and then reduce the fraction.
THerefore you get:
