3 years ago

You travel 90 miles in 1.5 hours. find the speed you travel.

Mathematics

1 answer:

olga_2 [115]3 years ago

4 0

Answer:

60 mph

Step-by-step explanation:

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No it is not because for the x value of 5 there are two different y values.

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∠A and ∠B are vertical angles with m∠A=x and m∠B=4x−30 .<br><br> What is m∠A ?

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3 years ago

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swat32

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The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If

attashe74 [19]

Answer:

$t=7.85 years$

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

$\frac{dP}{dt}=aP$

Where a is proportional constant, P the population variable, and t the time.

$\frac{dP}{P}=adt$

Integrating each side of the equation.

$\int \frac{dP}{P}=\int adt$

$ln(P)=at+c$

$P=e^{at+c}$

$P=e^{c}e^{at}=Ce^{at}$

To find C we need to use the initial condiction, it means evaluae P at t=0.

$P_{0}=Ce^{0}=C$

$P=P_{0}e^{at}$

Now, we use the sentence the population has doubled in 5 years.

$2P_{0}=P_{0}e^{a5}$

We can find "a" in this condition.

$2=e^{a5}$

$ln(2)=a5$

$a=\frac{ln(2)}{5}$

$a=0.14$

Finally, let's find how long will it take to triple.

$3P_{0}=P_{0}e^{0.14t}$

$3=e^{0.14t}$

$t=\frac{ln(3)}{0.14}$

$t=7.85 years$

I hope it helps you!

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2 years ago

Seven times the difference of x and 4 is -10

Delicious77 [7]

Answer:

7*(x-4)=-10

Step-by-step explanation:

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3 years ago

You travel 90 miles in 1.5 hours. find the speed you travel.​

You travel 90 miles in 1.5 hours. find the speed you travel.