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larisa86 [58]
2 years ago
15

A plant cell is 0.00001267 meter wide.How is this number written in scientific notation?

Mathematics
1 answer:
MA_775_DIABLO [31]2 years ago
3 0
<span>The answer is 0.00001267 m = 1.267 * 10^(-5) m. In scientific notation, the number is written as two factors - a number m from 0-10 and 10 raised to the n power: m x 10^n. 0.00001267 m = 1.267 x 0.00001 m. 0.00001 m = (0.1)^5 = 10^(-5). So: 0.00001267 m = 1.267 x 0.00001 m = 1.267 x (0.1)^5 m = 1.267 x 10^(-5) m.</span>
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Ingrid makes quilts in designs that follow a specific pattern. The first three designs are shown. In designs, the white blocks r
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The number of white and grey blocks in the quilts follows a sequence given by the Design number of the quilt

The numbers and patterns of the blocks are;

a. Patterns;

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  • The height of the outer grey blocks is 2 blocks more than the Design number, while their rows are 3 blocks more than the Design number

b. The function is \underline{p(n) = n \cdot (n + 1)}

c. The function is \underline{b(n) = (n + 2) \cdot (n + 3) -  n \cdot (n + 1)}}

d.  \underline{t(n) = (n + 2) \cdot (n + 3)  = b(n) - p(n) }

e. The design chosen is <u>Design 9</u>

The number of blocks is <u>132 blocks</u>

Reasons:

The pattern of the design are;

a. The column height of the grey blocks = 2 blocks more than the column height of the white blocks

Width of the outer grey blocks = 2 blocks more than the width of the inner white blocks

The number of white blocks in a design, <em>n</em> is the product of <em>n</em> and (n + 1)

The number of grey blocks in a design <em>n</em>, is the product of (n + 2) and (n + 3) less the number of white blocks in the design

b. Based on the above, the function that represent the number of picture blocks in Design <em>n</em>, is therefore;

  • p(n) = n·(n + 1)

c. Based on the above, the function that represent the number of border blocks in Design <em>n</em>, is therefore;

  • b(n) = (n + 2)·(n + 3) - n·(n + 1)

d. The total number of blocks, t(n) = (n + 2)·(n + 3)

t(n) = (n + 2)·(n + 3) - n·(n + 1) + n·(n + 1)

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e. The given number of picture blocks = 90

The number of picture blocks in a design, n = n × (n + 1)

Therefore, given that the number of picture blocks is 90, we have;

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Therefore, the design museum chooses is <u>Design 9</u>

The total number of blocks in a quilt design, t(n) = (n + 2)·(n + 3)

Total blocks in the design the art museum choses, t(9), is given as follows;

t(9) = (9 + 2)·(9 + 3) = <u>132 blocks</u>

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