Factoring the equation:
3x^2 + 1/2 x 7(3)
3x^2 + 1/2 x 21
3 (x^2 + 1/2 x 21)
3 (x^2 + 7/2)
3 x 1/2 (2x^2 +7)
3/2 (2x^2 + 7)
Answer:
Explanation:
The table that shows the pattern for this question is:
Time (year) Population
0 40
1 62
2 96
3 149
4 231
A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.
Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.
Thus you must find both P₀ and r.
<u>1) P₀ </u>
Using the first term of the sequence (0, 40) you get:
P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀
Then, P₀ = 40
<u> 2) r</u>
Take two consecutive terms of the sequence:
- P(1) / P(0) = 40r / 40 = 62/40
You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55
<u>3) Model</u>
Thus, your model is P(x) = 40(1.55)ˣ
<u> 4) Population of moose after 12 years</u>
- P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
Answer:
Inverse property of addition
Step-by-step explanation:
When you add two opposite numbers (4/5 is the opposite of [-4/5]) the answer is always zero.
Based on Neena's qualifications and desire for the highest pay scale, she would be best suited for a <u>supply chain manager</u><u> career</u>.
<h3>Who is a supply chain manager?</h3>
A supply chain manager ensures the movement of goods, from manufacturers and suppliers to the ultimate customer.
A supply chain manager oversees and manages the production flow:
- Raw materials acquisition
- Production logistics
- Delivery logistics.
A supply chain manager requires the following skills:
- Business Management
- Leadership
- Transportation
- Manufacturing production and processes
- Customer service
- Personal relationships
- Analytical skills.
Thus, based on Neena's qualifications and desire for the highest pay scale, she would be best suited for a <u>supply chain manager</u><u> career</u>.
Learn more about supply chain management at brainly.com/question/18793688
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Answer:
26 years
Step-by-step explanation:
Given:
The mean age of 9 women = 27 years old
The mean age of 7 men = 25 years old
Question asked:
What is the mean age (nearest year) of all the people in the office?
solution:
By using, mean = sum of observations divided by number of entities
The mean age of 9 women = 27 years old
= 

The mean age of 7 men = 25 years old
= 

Total sum of ages of men and women in the office = 243 + 175
= 418 years
Total number of people in the office = 9 women + 7 men = 16
The mean age of all the people in the office = Total sum of ages of men and women in the office divided by Total number of people in the office
= 
Therefore, the mean age (nearest year) of all the people in the office = 26 years