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jarptica [38.1K]
3 years ago
12

11 of 16

Mathematics
1 answer:
love history [14]3 years ago
8 0

Answer:

Step-by-step explanation:

This is a geometric sequence; we know that because of the words "common ratio."  The general formula for a geometric sequence is

a(n) = a(1)*r^(n - 1), where r is the common ratio.

Here, a(1) = 1, r = 1/3, and so

a(1) = 1 (given)

a(2) = 1/3 (this is a(1) multiplied by 1/3)

a(3) = 1/9 (this is a(2) multiplied by 1/3)

a(4) = 1/27

a(5) = 1/81

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It will take 2 hours for 16 people to clear an acre of weeds, and 8 hours for 2 people to clear an acre of weeds.

5 0
3 years ago
A square has an area of 16x^2 square inches. If the sides of the square were to increase by 2 units, what is the new area of the
kykrilka [37]

Answer:

16x² + 64x + 64

Step-by-step explanation:

Given

A = 16x²

Increasing the sides by 2, substitute x = x + 2 into A

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   = 16(x² + 4x + 4 ) ← distribute

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2834/9<br> / = divide<br> pls help me
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314.88

Step-by-step explanation:

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6 0
3 years ago
Find the values of x and y if 5 ˣ⁻³ x 3²ʸ⁻⁸ =225
-BARSIC- [3]

Answer:

x = 5, y = 5

Step-by-step explanation:

{5}^{x - 3}  \times  {3}^{2y - 8}  = 225 \\ {5}^{x - 3}  \times  {3}^{2y - 8}  = 25 \times 9 \\  {5}^{x - 3}  \times  {3}^{2y - 8}  =  {5}^{2} \times  {3}^{2}  \\ equating \: like \: power \: terms \: from \: both \:\\ sides \\ {5}^{x - 3}  =  {5}^{2} \\ x - 3 = 2 (Bases\: are\: equal, \: so\: exponents \: \\will\: also\: be\: equal) \\ x = 3 + 2 \\ \huge \red{ \boxed{ x = 5}} \\  \\ {3}^{2y - 8}  = {3}^{2} \\ 2y - 8 = 2(Bases\: are\: equal, \: so\: exponents \: \\will\: also\: be\: equal)  \\ 2y = 2 + 8 \\ 2y = 10 \\ y =  \frac{10}{2}  \\ \huge \purple{ \boxed{y = 5}}

5 0
3 years ago
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