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2 years ago

Is Allie is 16 years old and her brother is 20 years, how far apart are they?

Mathematics

2 answers:

ozzi2 years ago

7 0

20-16=4
so they would be 4 years apart

love history [14]2 years ago

4 0

4 years apart if he is 20 years old

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2 years ago

What is the domain and range?

MrRissso [65]

Hello from MrBillDoesMath!

Answer:

Domain = { 5. 10. 15. 20}

Range = -3,-1,1,3} .

Discussion:

The domain is the set of all "x" values, that is { 5. 10. 15. 20} and the range is (-3,-1,1,3} . The arrows in the diagram show the mapping between the domain and the range. For examples, 5 -> 1 ( "x value 5 is mapped to y value 1"), 10 ->3, 15 ->-3, and 20 -> -2

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3 years ago

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3 years ago

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3 years ago

You bike 1 mile the first day of your training, 1.3 miles the second day, 1.9 miles the third day, and 3.1 miles the fourth d

JulsSmile [24]

Answer:

19.9 miles

Step-by-step explanation:

In this problem we have:

$d_1=1 mi$ is the distance travelled during the 1st day

$d_2=1.3 mi$ is the distance travelled during the 2nd day

$d_3=1.9 mi$ is the distance travelled during the 3rd day

$d_4=3.1 mi$ is the distance travelled during the 4th day

We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:

$d_2-d_1=0.3\\d_3-d_2=2\cdot 0.3 = 0.6\\d_4-d_3=2\cdot 0.6 = 1.2$

Which can be rewritten using the general formula:

$d_{n+1}-d_n=2(d_n-d_{n-1})$

This means that

$d_{n+1}=d_n+2(d_n-d_{n-1})$

By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:

$d_1=1\\d_2=1.3\\d_3=1.9\\d_4=3.1\\d_5=3.1+2\cdot 1.2=5.5\\d_6=5.5+2\cdot 2.4=10.3\\d_7=10.3+2\cdot 4.8=19.9 mi$

So, the distance travelled on the 7th day is 19.9 miles.

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3 years ago