I BELIEVE THAT ALL (96m^3) IS UNDER THE SQUARE ROOT.
If so : 96 could be written as 16x 6 & m³ could be written as m²xm:

7√(96m^3) = 7√(16 x 6 x m² m) =7[4m√(6m)]

=28m√(6m)

4 0

2 years ago

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Of all the visitors to a museum on Saturday, 18% were kids younger than 11 years old. In lowest terms, write the fraction of vis

Aleksandr-060686 [28]

<h3>Answer: 9/50</h3>

Explanation:

Any percentage converts to that number over 100.

So 18% would convert to 18/100

We then reduce the fraction by dividing each part by the GCF 2

18/2 = 9

100/2 = 50

The fraction 18/100 fully reduces to 9/50

4 0

3 years ago

For the given statement Pn, write the statements P1, Pk, and Pk+1.

Leno4ka [110]

Answer:

$P_{1}$ = 2

$P_{k}$ = k(k+1)

$P_{k+1}$ = (k+1)(k+2)

Step-by-step explanation:

We are given the statement,

$P_{n}$ as 2 + 4 + 6 + . . . + 2n = n(n+1)

That is,

$P_{n}$ as 2 + 4 + 6 + . . . + 2n = $\sum_{i=1}^{n}2i$

So, we have,

$P_{1}$ = $\sum_{i=1}^{1}2i$ = 2

$P_{k}$ = $\sum_{i=1}^{k}2i$ = 2 + 4 + 6 + . . . + 2k = k(k+1)

$P_{k+1}$ = $\sum_{i=1}^{k}2i$ = 2 + 4 + 6 + . . . + 2k + 2(k+1) = (k+1)(k+2)

Thus, we get,

$P_{1}$ = 2

$P_{k}$ = k(k+1)

$P_{k+1}$ = (k+1)(k+2)

7 0

3 years ago

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