A mouse population starts with 2,000 mice and grows at a rate of 5% per year. The number of mice after t years can be modeled by the equation, P(t)=2000(1.05)^t. What is the average rate of change in the number of mice between the second year and the fifth year, rounded to the nearest whole number?
Answers
so m=2205
m=2000 (1.05)^5 for 5 years
so m= approximately 2553
2553-2000
=553
That's your average rate of change in mice between two years and five years.
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Complete the square x2 + 4x +3=15 somebody help
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4:3 and 25:45 are equal ratios true or false
Which of the following best describes the situation?
A. This is an example of correlation but not causation.
B. This is an example of causation but not correlation.
C. This is an example of both correlation and causation.
D. This is an example of neither correlation nor causation.
Answers
When Sarah added the fertilizer and there was a noticeable difference, we can say that:
- B. This is an example of causation but not correlation.
What is Causation?
Causation occurs when an effect is noticed because of a traceable item. The traceable item, in this case, is the fertilizer.
So when the fertilizer was added and a change in color was noticed, we can deduce that the difference was because of the fertilizer.
Therefore, option B is correct.
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Answer: B.) This is an example of causation but not correlation.
Step-by-step explanation: Causation is a cause and effect, because fertilizer was added to one plant, it's leaf color was improved.
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The expression used is the circumference of a circle which is 80π
What are the circumference and diameter of a circle?
The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
Given, A circular skating rink has a radius of 40 feet.
∴ The expression can be used to find the circumference of the
skating rink is 2π(40) = 80π feet.
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They are all multiplied by each other
r = radius
we know our radius is 40
and...
so we would use this expression
3.14 x 40 x 2
As a added bonus ill solve it for you :P
3.14 x 40 x 2 = 251.2
The circumference of this ice skating rink is 251.2 feet
Answers
50 Miles at an average rate
represents the cost of purchasing 5 lip glosses? (1 point)
C (5)=5
1=5
C (5)
C (1) = 5
Answers
Answer:
Therefore, the cost of purchasing 5 lip glosses, as represented by the function C(5), is 41.
Step-by-step explanation:
To find the cost of purchasing 5 lip glosses, we need to use the given function C(1) = 31 + 2, which represents the cost of ordering one lip gloss including the flat rate shipping charge. To find the cost of purchasing 5 lip glosses, we can substitute 5 for the variable in the function: C(5) = 31 + 2 * 5 C(5) = 31 + 10 C(5) = 41
Final answer:
The cost of purchasing 5 lip glosses represented in the function C(1)=31+2 is evaluated as C(5)=31+2*5, which equals 41 units.
Explanation:
This question involves the mathematical concept of functions, specifically, simple linear functions. In this example, we have the function C(1)=31+2, which informs us that the cost to order one lip gloss, denoted as 'L', is '31 plus twice the number of lip glosses ordered'
To answer the question 'What represents the cost of purchasing 5 lip glosses?', we substitute the number of lip glosses we want to buy (5) into our function. So instead of evaluating C(1), we evaluate C(5)=31+2*5, following the same structure of '31 plus twice the number of lip glosses ordered'. The solution to this would be C(5)=41, meaning it would cost 41 units (the currency isn't stated) for 5 lip glosses.
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Answers
The new price after the sales is $68
Step-by-step explanation:
The cost of a pair of sneakers = $80
Discount / sales offer= 15% off
New price = $80- 15% of $80
15% of $80 = 15 x 80/100
= $12
New price = 80 - 12
= $68
The new price after the sales is $68