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lozanna [386]
3 years ago
12

The population of a large city is gradually moving to outlying metropolitan areas with the decline predicted by the functional e

quation, P = P,2***
If represents the present population of 1 million and Pis the predicted population in t years, what is an estimate of the city's population five
years from now? Use 2.718 for e.
1,161,816
0 223,164
0 860,721
970,448
Mathematics
1 answer:
Andrews [41]3 years ago
8 0
I’m not sure m8 but u gave me some points thanks man
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Which graph best represents the relationship between time and the number of teams registered?
alexdok [17]
<h2>Explanation:</h2><h2></h2>

The complete question is in the attached file. So we have to choose between two graphs. On of them is a linear model while the other is an exponential model. From the statements, we have a relationship between time and the number of teams registered. So we can establishes variables in the following form:

x:\text{Time} \\ \\ y:\text{Number of teams registered}

We also know that each week 6 teams register to participate, so:

\bullet \ \text{For week 0:} \rightarrow \text{0 teams registered} \\ \\ \bullet \ \text{For week 1:} \rightarrow \text{6 teams registered} \\ \\ \bullet \ \text{For week 2:} \rightarrow \text{12 teams registered (Because 6+12)} \\ \\ \bullet \ \text{For week 3:} \rightarrow \text{18 teams registered (Because 12+6)}

As you can see, as x increases one week, y increases at a constant ratio of 6. Therefore, this can be modeled by a linear function given by the form:

y=6x

In conclusion, <em>the linear model (first graph below) is the one that bests represents  the relationship between time and the number of teams registered.</em>

7 0
3 years ago
The angle of elevation of the top of a tower from a point 100m away is 45 degrees. What is the height of the tower to the neares
vladimir2022 [97]

Answer:

SOHCAHTOA.

TOA=opposite/adjacent.

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7 0
4 years ago
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lianna [129]

Answer:

x = 2, y = -1.

Step-by-step explanation:

2x - 5y = 9

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Multiply first equation by -3 and the second by 2:

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6x + 8y = 4            Adding the 2 equations:

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Now substitute this value for y in the first equation:

2x - 5(-1) = 9

2x = 9 +5(-1)

2x = 9 - 5

2x = 4

x = 2.

8 0
3 years ago
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