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vladimir1956 [14]
2 years ago
13

Find the 10th term of the geometric sequence whose common ratio is 2/3 and whose first term is 3.

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
5 0

Answer:

\frac{512}{6561}

Step-by-step explanation:

1) if according to the condition a₁=3 and r=2/3, then a₁₀ can be calculated as:

a₁₀=a₁*r⁹;

2) according  to the rule above:

a₁₀=3*(2/3)⁹=512*3/(6561*3)=512/6561.

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irina1246 [14]

Answer:

2 1/8

The drawing will help

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3 years ago
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What is 40% of 400<br> Show work
kirill [66]
40% of 400 would be 160.
40% is 0.4 
so
0.4*400 = 160
to prove my work
400/160 = 0.4 = 40%
6 0
3 years ago
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How many ways can eight boxes be arranged on a shelf?
11111nata11111 [884]
You can solve this by using 8!
when you put this through a calculator, you'll get 40320.

Therefore, eight boxes can be arranged in 40,320 different ways on a shelf.

Hope that helps :)
3 0
3 years ago
PLEASEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Arisa [49]

Answer:

  • A = 18.85ft^2
  • 114cm^2
  • 835.578 in^2
  • 24o yd^2

Step-by-step explanation: I hope it helps :)

1.

Surface\: area=\:2\pi rh+2\pi r^2\\h = 2ft\\diameter = 2ft\\Radius = d/2=2/2=1ft\\\\A=( 2\times 3.141\times1\times2)+(2\times 3.141 \times 1^2)\\A = (12.564)+(6.282)\\A = 18.846\\A = 18.85ft^2

2.

Area \:of\: square = A=a^2\\A = 3^2\\A=9\\Area\:of \:one \:rectangle\: = (l\times b)\\ A = (8\times 3)\\A = 24cm^2\\\\A = 2(Area\: of\: square)+2(Area\: of \:rectangle)\\A = 2(9)+4(24)\\A = 18+96\\A =114cm^2

3.

Area \: of\: base=?\\ r = 7\:in\\h = 12\:in\\A = \pi \times r^2\\A = 3.141 \times 7^2\\A = 153.909\\\\Height \: of \:the \:cylinder = 12\:inches\\Circumference = 2\pi \times r\\C= 2 \times 3.141 \times 7\\ C =43.98\\\\S.A= 2B+Ch\\S.A = 2(153.909)+43.98(12)\\S.A = 307.818+527.76\\S.A =835.578

4.

Perimeter = a+b+c\\P = 10+8+6\\P = 24\\S.A =2B+Ph\\S.A = 2(24)+24(8)\\S.A =48+192\\S.A = 240\:yd^2

6 0
3 years ago
The circle below is centered at the point (1, 2) and has a radius of length 3.
Vitek1552 [10]

The equation is (x-1)^2+(y-2)^2=81

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4 years ago
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