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Vaselesa [24]
3 years ago
7

As an estimation we are told 5 miles is 8 km. Convert 10 miles to km.

Mathematics
1 answer:
viktelen [127]3 years ago
7 0

Answer:

16

The simplest way to do it is:

5 x 2 = 10

8 x 2 = 16

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The coordinates would be 4,0?

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Show that n(n+1)(n+2) is divisible by 6<br>Solution<br>(​
vladimir2022 [97]

Proof by induction

Base case:

n=1: 1*2*3=6 is obviously divisible by six.

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For n+1:

(n+1)(n+2)(n+3)=

(n(n+1)(n+2)+3(n+1)(n+2))

We have assumed that n(n+1)(n+2) is divisble by 6.

We now only need to prove that 3(n+1)(n+2) is divisible by 6.

If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.

The "cool" part about this proof.

Since n is a natural number greater than 1 we can say the following:

If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.

If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.

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6 0
3 years ago
How do I count by twelfths
Korvikt [17]

12,  x 1 = 12

12 x 2 =24  

12 x 3 = 36

12 x 4 =48

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hope this helps

8 0
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sasho [114]

Answer:

The question is open ended as i suppose since there are infinitely many possibilities. one possible form of the solution can be 5^{2}

Step-by-step explanation:

The base in this case is 5 while the exponent is simply the power to which the base is raised in which case it would be 2. Both values are positive and the exponent is less than the base.

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Using suitable identity find 5.62 <br><br>− 0.32​
denpristay [2]

Answer:

5.62 - 0.32= 5.3 or 5.30

Step-by-step explanation:

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