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3 years ago

What is 1,632 in word form?

Mathematics

2 answers:

Lena [83]3 years ago

7 0

It is "One thousand six hundred and thirty two"

Reika [66]3 years ago

3 0

What is 1,632 in word form?

One thousand six hundred thirty two.

The rule is that the amount of thousands of writing at the beginning then the number of hundreds, and finally number of unity.

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Prove that 2n^3 + 3n^2 + n is divisible by 6 for every integer n > 1 by mathematical induction. (7 marks)

notka56 [123]

Answer:

The answer is True

Step-by-step explanation:

A mathematical induction consists in only 2 steps:

First step: Show the proposition is true for the first one valid integer number.

Second step: Show that if any one is true then the next one is true

Finally, if first step and second step are true, then the complete proposition is true.

So, given $2*n^3+3*n^2+n$

First step: using and replacing n=2 (the first valid integer number >1)

$2*(2)^3 +3*(2)^2+2=30$

$\frac{30}{6} =5$

As the result is an integer number, so the first step is true.

Second step: using any next number, $n+1$ , let it replace

$2*(n+1)^3+3*(n+1)^2+(n+1)\\2*(n^3+3*n^2+3*n+1)+3*(n^2+2*n+1)^2+(n+1)\\2*n^3+6*n^2+6*n+2+3*n^2+6*n+3+n+1\\(2*n^3+3*n^2+n)+(6*n^2+12*n+6)$

As the First step is true, we know that

$2*n^3+3*n^2+n$ $=6*k$ ,

So let it replace in the previous expression

$6*k+6*(n^2+2*n+1)\\6*[k+(n^2+2*n+1)]$

Finally

$\frac{6*[k+(n^2+2*n+1)]}{6} =k+(n^2+2*n+1)$

where the last expression is an integer number

So the second step is true, and the complete proposition is True

5 0

2 years ago

Which of the following is a PRIME number?

rosijanka [135]

The answer is 17 because all the others can be Times by more than one and itself

6 0

3 years ago

Read 2 more answers

1. What is the constant rate of change between x and y in the table below?

Murljashka [212]

Answer:

Step-by-step explanation: ya boi got at least a 90 in all classes

3 0

2 years ago

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Please help me with part b of number 16.

natka813 [3]

You want to find the time (x) when the distance from desitnation is 0:

d = 0,

d(x) = 1375 - 110x
0 = 1375 - 110x
110x = 1375
x = 1375/110
x = 12.5 hrs

7 0

2 years ago

78% of those surveyed at the fair bought popcorn statistic or parameter

vlada-n [284]

Step-by-step explanation:

78% of those surveyed bought popcorn statistic or parameter. This means that significantly more than half of the given population bought popcorn statistic or parameter.

If the population is, say ten thousand, then 78% of 10000 is

10000 × 78/100 = 7800.

Which is more than half the whole population.

3 0

2 years ago