The property of equality of the rows, columns, and diagonals in the magic
square can be used to find the value of <em>n</em>.
The value of <em>n</em> is 6
Reasons:
The magic square can be presented as follows;
![\begin{array}{|c|c|c|}n-2&3&n + 2\\n + 3&n - 1&1\\2&2 \cdot n - 5&n\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%7Cc%7Cc%7Cc%7C%7Dn-2%263%26n%20%2B%202%5C%5Cn%20%2B%203%26n%20-%201%261%5C%5C2%262%20%5Ccdot%20n%20-%205%26n%5Cend%7Barray%7D%5Cright%5D)
Given that the sum of the numbers in each row and in each column and in
each of the two diagonals are equal, to find the value of <em>n</em>, two rows having
different number of the variable <em>n</em> can be equated as follows;
The top row = n - 2 + 3 + n + 2 = The bottom row = 2 + 2·n - 5 + n
n - 2 + 3 + n + 2 = 2 + 2·n - 5 + n
2·n + 3 = 3·n - 3
3·n - 3 = 2·n + 3 (symmetric property)
3·n - 2·n = 3 + 3
n = 6
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Answer:
Step-by-step explanation:
The function for this problem is: h(t) = -16(t)^2 + vt + s h= the height t= time v= velocity s= starting height With the information given, we know that the starting height is 0, since it was from the ground, and the velocity of the ball is 35 feet per second. Inserting the these information into the equation, we get: h(t) = -16(t)^2 + 35t Now the question asks to find the maximum height. It can be done by using a grapher to graph the maximum of the parabola. It could also be done by finding the vertex, which would be the maximum, of the graph by using x= -b/(2a), where b is equal to 35 and a is equal to -16. We get x=35/32, the x-value of where the vertex lies. You can use this value as the t-value in the previous equation to find the h-value of the vertex. When you do, you get h= 19.1 feet, or answer D.
hope this helps
Answer:
Tn = 6.4 + 1.8n
Step-by-step explanation:
Given
Sequence: 8.2, 10, 11.8, 13.6
Required
The formula of the sequence.
First, the type of the sequence needs to be determined (arithmetic or geometric)
It is an arithmetic sequence because each successive sequence is separated by a common difference..
The common difference is represented by d and it's calculated as follows.
d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8
Each of the above gives
d = 1.8
Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.
Tn = T1 + (n - 1)d
Where T1 is the first term of the progression; T1 = 8.2
By substituting 8.2 for T1 and 1.8 for d.
This gives
Tn = 8.2 + (n - 1) * 1.8
Open bracket
Tn = 8.2 + 1.8 * n - 1 * 1.8
Tn = 8.2 + 1.8n - 1.8
Collect like terms
Tn = 8.2 - 1.8 + 1.8n
Tn = 6.4 + 1.8n
Hence, the formula of the sequence is Tn = 6.4 + 1.8n
Answer:
50%
Step-by-step explanation:
50% because it is halfways shaded
Answer:
2x-1 and 11-x are both answers
Step-by-step explanation:
