These are four questions and four answers:
Question 1. What is the petrochemical production in 2005?
Solution:
1) The table reports the the annual Petrochemical Production p (Billion metric tons) for 2005 - 2011.
2) The years are indicated as 0, 1, 2, 3, 4, 5, 6.
3) There is a contradiction in the stament because there is a note telling that t = 0 is year 2002, which meant that the years are from 2002 - 2008, contradicting that the years are 2005 - 2011.
4) If you take for good the note the t = 3 is year 2005 and the corresponding production is 12.0, which is the option A).
5) If you take for good the initial statement that the years are 2005 - 2011, then t = 0 is 2005 and the corresponding production is 10.8
So you have to clarify with your teacher which is the right statement.
Question 2. What are the units.
Solution:
The units are indicated in parenthesis after the label of the row.
The label of the row is Petrochemical production p and the units are Billion metric tons.
So, the answer is the option D) billion metric tons.
Question 3. Graph the function f(x) = log base 2 of x
Solution:
You might create a table with some four points or use the knowledge about logarithm function.
Thiis is the knowledge you need to answer the question:
1) logarithm is an increasing function: as x increase f(x) increase)
2) log base a of a = 1
3) limit of log base a of x when x approaches 0 is negative infinity.
With those three properties you know that the answer is the first figure with certainty.
Question 4. Graph the function f(x) = 2^x
Solution:
These properties will give you the answer:
1) 2^x is the inverse function of log base 2 of x (the function of the question 2)
2) 2^0 = 1
3) 2^x is a growing function (as x increases 2^x increases)
4) 2^x is always positive.
5) limit of 2^x when x approaches negative infinity is 0.
With that you are sure that the graph of 2^x is the second figure.
Answer:
19/1 or 1.9
Step-by-step explanation:
We are going to take out the dividends step by step:
Dell:
(66) * (1.79) = 118.14 $
Coca Cola:
(95) * (2.62) = 248.9 $
Nike:
(180) * (1.18) = 212.4 $
Adding the three dividends we have:
118.14 + 248.9 + 212.4 = 579.44 $
Answer:
Manuel does receive 579.44 $ in dividends every year
The system of inequality that the graph represents is E. 2x + 3y is less than or equal to 4 and 2x + 2y is less than or equal to 3
<h3>How to illustrate the graph?</h3>
In the graph, when 2x + 3y = 4
3y = 4 - 2x
y = -2/3x + 4/3
When 2x + 2y = 3
2y = -2x + 3
y = -x + 3/2
On the graph, -2/3x + 4/3 is illustrated on the first line while -x + 3/2 is illustrated on the second line.
Therefore, the correct option is E.
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Answer: 24 plants
Step-by-step explanation:
1000 is not a perfect square.
31^2 < 1000 < 32^2
Required no. of trees = 32^2 − 1000
= 1024 − 1000
= 24