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2 years ago

There are 5,280 feet in a mile. What part of a mile, in decimal form, will you drive until you reach the exit.

Mathematics

1 answer:

nalin [4]2 years ago

4 0

Answer:

= 0.1893939

Step-by-step explanation:

We have given that there are 5,280 feet in a mile.

Number of feet in a mile = 5,280

Now we will convert feet into miles.

To convert 1000 feet into mile we will multiply it by 1/5280

1000 feet = 1000 * 1/5280

1000/5280

= 0.1893939

Therefore the answer is = 0.1893939....

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Identify the explicit function for the sequence in the table.

juin [17]

14 - 9 = 5
19 - 14 = 5
24 - 19 = 5
29 - 24 = 5

It is an arithmetic sequence with differences, b = 5 and a = 9
a(n) = a + b(n - 1)
a(n) = 9 + 5(n - 1)

The answer is B

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2 years ago

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Conservation of Species A certain species of turtle faces extinction because dealers collect truckloads of turtle eggs to be sol

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Answer:

The turtle population's rate of growth will be 32 turtles per year after 2 years and 248 per year after 6 years.

Ten years after the conservation measures are implemented the population will be 3260 turtles.

Step-by-step explanation:

To find the rate of growth of the turtle population at any time t you need to find $N'(t)$

$\frac{d}{dt}N(t)=\frac{d}{dt}(2t^3+3t^2-4t+1000)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\\frac{d}{dt}(2t^3)+\frac{d}{dt}(3t^2)-\frac{d}{dt}(4t)+\frac{d}{dt}(1000)\\\\\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}\\\\N'(t)=6t^2+6t-4$

In particular, when t = 2 and t = 6, we have

$N'(2)=6(2)^2+6(2)-4=32\\\\N'(6)=6(6)^2+6(6)-4=248$

so the turtle population's rate of growth will be 32 turtles per year after 2 years and 248 per year after 6 years.

The turtle population at the end of the tenth year will be

$N(10)=2(10)^3+3(10)^2-4(10)+1000\\N(10)=3260 \:turtles$

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2 years ago

Jaxon and Isaac live different directions from the city center. Jaxon lives 10 blocks east and 5 blocks north. Isaac lives 8 blo

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Answer:

Step-by-step explanation:

As shown in the figure attached Jaxon is 10 blocks east and 5 blocks north.

So x-coordinates of Jaxon will be 10 units and y-coordinates will be 5 units.

and coordinates will be (10,5)

Similarly coordinates of Isaac will be defined by his distance towards west and distance towards south.

So x-coordinates will be 8 units and y-coordinates will be 15 units.

Therefore, coordinates of Isaac will be (-8,-15).

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balu736 [363]

The Yule-Simon distribution is a discrete probability distribution. It is named after Udny Yule and Herbert A. Simon.

The Yule–Simon distribution was originally created by Yule as a limiting distribution model for a particular stochastic process, called the "Yule process" or the "preferential attachment process," in his study of the distribution of biological taxa and subtaxa.

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2 years ago

2 triangles have identical side lengths and angle measures. The second triangle is rotated slightly to the left. Which statement

aleksklad [387]

Answer:

It is rigid because all side lengths and angles are congruent.

Step-by-step explanation:

2 triangles have identical side lengths and angle measures. The second triangle is rotated slightly to the left. It is a rigid motion.

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The performance of any combination of the following actions, namely - translation, rotation or/ and reflection keeping the size and shape of a geometric body constant is called performing 'Rigid motion'.

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