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Rasek [7]
3 years ago
8

Simplify the following. 3g^4 (2g^6 h^2)^3

Mathematics
2 answers:
NikAS [45]3 years ago
7 0

3g⁴ (2g⁶h²)³=3g⁴(2g⁶)³(h²)³= 3g⁴×8g¹⁸×h⁶= 24g²² h⁶

Nady [450]3 years ago
4 0

Answer:

24g^22h^6

Step-by-step explanation:

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Harry buys a TV priced at £1200 plus 20% VAT.
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Answer:

£ 114

Step-by-step explanation:

From the question given above, the following data were obtained:

Price of TV = £ 1200

VAT = 20%

Amount paid = £ 300

Amount paid monthly =.?

Next, we shall determine the VAT. This can be obtained as follow:

VAT = 20% of price of TV

VAT = 20/100 × 1200

VAT = £ 240

Next, we shall determine the total cost of the TV. This can be obtained as follow:

Price of TV = £ 1200

VAT = £ 240

Total cost of TV =?

Total cost = Price + VAT

Total cost = 1200 + 240

Total cost = £ 1440

Next, we shall determine the balance amount he needs to pay. This can be obtained as follow:

Total cost = £ 1440

Amount paid = £ 300

Balance amount =?

Balance = Total cost – Amount paid

Balance = 1440 – 300

Balance = £ 1140

Finally, we shall determine the amount Harry will pay month.

Balance Amount = £ 1140

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Amount paid monthly = Balance / number of month

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Therefore, Harry will pay £ 114 monthly.

4 0
3 years ago
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Step-by-step explanation:

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If y varies inversely with the square of r, what is the constant of proportionality when y - 10 and 1 = 5?
Anvisha [2.4K]

<em><u>Question:</u></em>

If y varies inversely with the square of r, what is the constant of proportionality when y =10 and r = 5?

<em><u>Answer:</u></em>

The constant of proportionality is 250

<em><u>Solution:</u></em>

Given that,

y varies inversely with the square of r

Which means,

y \propto \frac{1}{r^2}\\\\y = k \times \frac{1}{r^2}

Where, "k" is constant of proportionality

Subtitute y = 10 and r = 5

10 = k \times \frac{1}{5^2}\\\\10 = k \times \frac{1}{25}\\\\k = 10 \times 25\\\\k = 250

Thus the constant of proportionality is 250

6 0
3 years ago
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