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Anettt [7]
3 years ago
9

a rectangular piece of cardboard measuring 30 inches by 20 inches is made into an open box by first cutting an identical square

from each corner and then folding up the sides. The edge of each identical square is a whole number.
Mathematics
1 answer:
lina2011 [118]3 years ago
4 0
Draw a graph the function and find the value of x that produces the maximum
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Find the 7th term of the arithmetic sequence 5x + 9, 8x + 5, 11x + 1,...
ohaa [14]

Answer:

<h2>           \bold{a_7=33x-15}</h2>

Step-by-step explanation:

In arithmetic sequence:  a₂ - a₁ = a₃ - a₂     {common difference}

a_1=5x+9\\a_2=8x+5\\a_3=11x+1\\\\\\d=8x+5-(5x+9)=8x+5-5x-9=3x-4\\\\a_n=a_1+d(n-1)\\\\a_7=5x+9+(3x-4)\cdot6\\\\a_7=5x+9+18x-24\\\\a_7=33x-15

4 0
3 years ago
Eights rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other r
erastova [34]

Answer:

The probability is \frac{56!}{64!}

Step-by-step explanation:

We can divide the amount of favourable cases by the total amount of cases.

The total amount of cases is the total amount of ways to put 8 rooks on a chessboard. Since a chessboard has 64 squares, this number is the combinatorial number of 64 with 8, 64 \choose 8 .

For a favourable case, you need one rook on each column, and for each column the correspondent rook should be in a diferent row than the rest of the rooks. A favourable case can be represented by a bijective function  f : A \rightarrow A , with A = {1,2,3,4,5,6,7,8}. f(i) = j represents that the rook located in the column i is located in the row j.

Thus, the total of favourable cases is equal to the total amount of bijective functions between a set of 8 elements. This amount is 8!, because we have 8 possibilities for the first column, 7 for the second one, 6 on the third one, and so on.

We can conclude that the probability for 8 rooks not being able to capture themselves is

\frac{8!}{64 \choose 8} = \frac{8!}{\frac{64!}{8!56!}} = \frac{56!}{64!}

7 0
3 years ago
Can someone please explain this
Pani-rosa [81]

Answer:

x = 7

Step-by-step explanation:

There is a total of 180 degrees in a triangle. To solve you add the other angles and set = to 180 then solve for x

180 = 33 + 90 + 7x +8

172 = 33 + 90 + 7x

139 = 90 +7x

49 = 7x

7 = x

6 0
3 years ago
if i bottle flip a bottle 17 times and there is a ratio of 2 to 3 of it landing how many times will it land
blondinia [14]
The bottle will land about 11 out of the 17 times
hope i helped ( ಥـْـِـِـِـْಥ)
7 0
3 years ago
Estimate the average rate of change from x=2 to x=5
Sliva [168]

Answer:

5x3x2y

Step-by-step explanation:

7 0
3 years ago
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