A car traveling 281 miles 4 hours and 40 minutes what was the average speed of the car in miles per hours

Mathematics

1 answer:

den301095 [7]3 years ago

5 0

ok this one is tricky but I think I can handle it.

The correct answer is more than 60mph but less than 61mph.

60.3mph = 281.399598

or 60.2mph =280.932932

Those are my closest answers.

I really hope this helps

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Digiron [165]

Answer: 1211.6585 years

<u>Step-by-step explanation:</u>

The equation for exponential growth is: $P=P_oe^{kt}$

P: final population
P₀: initial population
k: rate of decay (or growth)
t: time

Use the half life information to find k:

$\dfrac{1}{2}P_o=P_oe^{k(800)}\\\\\\\dfrac{1}{2}=e^{800k}\qquad \rightarrow \qquad \text{divided both sides by}\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=800k\qquad \rightarrow \qquad \text{applied ln to both sides}\\\\\\\dfrac{ln(\frac{1}{2})}{800}=k\qquad \rightarrow \qquad \text{divided both sides by 800}\\\\\\\large\boxed{-0.000867=k}$

Next, input the information (65% decayed = 35% remaining) and the k-value to find your answer.

$.35P_o=P_oe^{-0.000867t}\\\\\\.35=e^{-0.000867t}\\\\\\ln(.35)=-0.000867t\\\\\\\dfrac{ln(.35)}{-0.000867}=t\\\\\\\large\boxed{1211.6585=t}$

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Define a function. Describe what the vertical line test is used for. Describe a real life situation that can be represented by a

Marrrta [24]

A function is a relationship with a quantity (number). For example, if you made a table, and had one side be 1 2 3 4 5 (X axis) and then the y axis (other side) be 5, 10, 15, 20, 25, the function (rule) would be y= x5. The vertical line test is used to see if a graph has a function or not, so if it creates a vertical line on a graph, it has a function.
A real life situation would be miles per hour, so, for the x axis (hours) it said 1, and for the y axis (miles) it would be 60, this means in a duration of 1 hour you went 60 miles. Well, lets say you went 2 hours driving, the miles would be 120.
For 3 hours, it would be 180. The function here is y= x60!
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