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storchak [24]
3 years ago
5

Estimate $0.89 ×14 find each product

Mathematics
1 answer:
viva [34]3 years ago
5 0
The product of $0.89 x 14 equals 12.46
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The dual bar chart shows the hair colour of boys and girls in a year group. How many students are in the year group?
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Answer:

102

Step-by-step explanation:

24+12+5+17+6+19+4+15=102

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4 years ago
Show that 1n^ 3 + 2n + 3n ^2 is divisible by 2 and 3 for all positive integers n.
Dmitry_Shevchenko [17]

Prove:

Using mathemetical induction:

P(n) = n^{3}+2n+3n^{2}

for n=1

P(n)  = 1^{3}+2(1)+3(1)^{2} = 6

It is divisible by 2 and 3

Now, for n=k, n > 0

P(k) = k^{3}+2k+3k^{2}

Assuming P(k) is divisible by 2 and 3:

Now, for n=k+1:

P(k+1) = (k+1)^{3}+2(k+1)+3(k+1)^{2}

P(k+1) = k^{3}+3k^{2}+3k+1+2k+2+3k^{2}+6k+3

P(k+1) = P(k)+3(k^{2}+3k+2)

Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also

divisible by 2 and 3.

Hence, by mathematical induction, P(n) = n^{3}+2n+3n^{2} is divisible by 2 and 3 for all positive integer n.

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3 years ago
The sun produces 3.8x10^27 joules of energy per second. How much energy is produced in a year? (Note: a year is approximately 31
Slav-nsk [51]
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If u need points just answer this
sasho [114]

OK im answering ............................................................................................................

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Step-by-step explanation:


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3 years ago
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