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Snowcat [4.5K]
2 years ago
15

ASAP PLEASE <3A rectangular garden has length and width as given by the expressions below. Length: 4 − 7(3x + 4y) Width: 3x(−

2y) Write a simplified expression for the perimeter of the rectangle. blank − xblank − y −blank xy
Mathematics
1 answer:
creativ13 [48]2 years ago
4 0

Answer:

  • 8 - 42x - 56y - 12xy

Step-by-step explanation:

<u>Given sides of a rectangle</u>

  • Length: l =4 − 7(3x + 4y)
  • Width: w = 3x(−2y)

<u>Perimeter of rectangle</u>

  • P = 2(l + w)

<u>Using the given values</u>

  • P = 2( 4- 7(3x + 4y) + 3x(-2y)) =
  • 2( 4 - 21x - 28y - 6xy) =
  • 8 - 42x - 56y - 12xy
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The volume of the cylinder is 254,571.43cm³.

The surface area of the cylinder is 22,628.57 cm².

<h3>What is the volume of the cylinder?</h3>

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A sequence is constructed according to the following rule: its first term is 7, and each next term is one more than the sum of t
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Answer:

5

Step-by-step explanation:

According to the described rule, we have

a_1=7\\ \\a_1^2=7^2=49\Rightarrow a_2=4+9+1=14\\ \\a_2^2=14^2=196\Rightarrow a_3=1+9+6+1=17\\ \\a_3^2=17^2=289\Rightarrow a_4=2+8+9+1=20\\ \\a_4^2=20^2=400\Rightarrow a_5=4+0+0+1=5\\ \\a_5^2=5^2=25\Rightarrow a_6=2+5+1=8\\ \\a_6^2=8^2=64\Rightarrow a_7=6+4+1=11\\ \\a_7^2=11^2=121\Rightarrow a_8=1+2+1+1=5\\ \\\text{and so on...}

We can see the pattern

a_5=a_8=a_{11}=a_{14}=...=5\\ \\a_6=a_9=a_{12}=a_{15}=...=8\\ \\a_7=a_{10}=a_{13}=a_{16}=...=11

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a_{3k-1}=5\\ \\a_{3k}=8\\ \\a_{3k+1}=11

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a_{2018}=a_{3\cdot 673-1}=5

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