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notsponge [240]
3 years ago
9

Find the fifth term in the geometric sequence, given the first term and the common ratio. a1=243 and r=1/3

Mathematics
1 answer:
alexgriva [62]3 years ago
4 0

Answer:

3

Step-by-step explanation:

a5 = a* r^4 ( from general formular of a GP)

= 243 * (1/3)^4 =. 243 * 1/81 = 3

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ANSWER: 40

EXPLANATION:

1) 40.73 to 1 significant figure = 40.

2) 1.06 to 1 significant figure = 1.

3) Therefore, we just multiply 40 by 1, which equals 40.

FURTHER EXPLANATION (IF NEEDED):

With significant figures, whole numbers such as 10, 20, 50 etc. have 1 significant figure. This is because the 0 does not count as a significant figure.

With decimals, all numbers after the decimal point are also included as significant figures (even 0). E.g. 40.73 has 4 significant figures and 1.06 has 3 significant figures.

EXAMPLES (IF NEEDED):

Rounding to 2 significant figures:

  • 40.73 = 42
  • 1.06 = 1.1

Rounding to 3 significant figures:

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  • 1.06 = 1.06 (because it's already in 3 significant figures)

Rounding to 4 significant figures:

  • 40.73 = 40.73 (already in 4 significant figures)
  • 1.06 = 1.060 (0 is counted as a significant figure if there is a decimal or another number comes after that 0)

E.g. 1006 has 4 sig figs, while 1060 would have 3 sig figs because the last 0 is not counted as a significant figure. 10.60 would have 4 sig figs because of the decimal.

8 0
3 years ago
A student claims that 3x + 2y = 5xy. Use a visual representation to show whether this is true or false
Ket [755]

Answer:

It is true, except when x = 2/5, since it is an asymptote.

Step-by-step explanation:

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3x=y(5x-2)

3x/5x-2=y

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ANSWER

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h = 6 \sin(60 \degree)

h = 3 \sqrt{3}

The area becomes:

12 \times 3 \sqrt{3}  = 36 \sqrt{3} {units}^{2}

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