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dalvyx [7]
2 years ago
10

Find the shortest length of 1/2-inch conduit from which the following pieces can be cut: 7 1/8 inches, 3 1/4 inches, 6 1/2 inche

s, 12 1/8 inches, and 24 3/16 inches. Allow 1/ 16 inch for each saw cut.
please break it down for me:)​
Mathematics
1 answer:
saveliy_v [14]2 years ago
6 0

Answer:

106 7/8 inches

Step-by-step explanation:

<u>Simplifying the pieces</u>

  • 57/8 + 13/4 + 13/2 + 97/8 + 387/16
  • 114/16 + 52/16 + 104/16 + 194/16 + 387/16 + 4/16
  • 855/16
  • 855/16 x 2
  • 855/8
  • 106 7/8 inches
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Let s be the number of shorts and t be the number of T-shirts. s shorts cost $12s and t T-shirts cost $5t, then you have to find min and max value for the function f(s,t)=12s+5t.

The shaded domain (see image) is defined from the system of unequalities. The green lines are the graphs of function f(x,y) and it intersects domain in first point (0,5) (the minimum point) and in last point (20,0) (the maximum point). So,

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Step-by-step explanation:

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Consider the vector x: x &lt;- c(2, 43, 27, 96, 18) Match the following outputs to the function which produces that output. Opti
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<u>Completed Question</u>

Outputs to be matched to the functions are:

  • 1,2,3,4,5
  • 1,5,3,2,4
  • 1, 4, 3, 5, 2
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Answer:

  • sort(x): 2, 18, 27, 43, 96
  • order(x): 1, 5, 3, 2, 4
  • rank(x) : 1, 4, 3, 5, 2
  • none of these :  1, 2, 3, 4, 5

Step-by-step explanation:

Given the vector x: x <- c(2, 43, 27, 96, 18)

<u>Sort</u>

In R, the sort(x)  function is used to arrange the entries in ascending or descending order. By default, R will sort the vector in ascending order.

Therefore, the output that matches the sort function is:

sort(x): 2, 18, 27, 43, 96

<u>Rank</u>

The rank function returns a vector with the "rank" of each value.

x <- c(2, 43, 27, 96, 18)

  • 2 has a rank of 1
  • 43 has a rank of 4
  • 27 has a rank of 3
  • 96 has a rank of 5
  • 18 has a rank of 2

Therefore, the output of rank(x)  is: 1, 4, 3, 5, 2

<u>Order</u>

When the function is sorted, the order function gives the previous location of each of the element of the vector.

Using the sort(x) function, we obtain: 2, 18, 27, 43, 96

In the vector: x <- c(2, 43, 27, 96, 18)

  • 2 was in the 1st position
  • 18 was in the 5th position
  • 27 was in the 3rd position
  • 43 was in the 2nd position
  • 96 was in the 4th position

Therefore, the output of order(x) is: 1, 5, 3, 2, 4

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3 years ago
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