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It can be 1 x 20 or 2 x 10 or 4 x 5
product of 3 x 15
0.75
( 3/4 ) x ( 3/4 ) = ( 3 x 3 ) / ( 4 x 4 ) = 9/16
x/3 + x = 4 times all by 3 x +3x = 12 add the two x's together 4x=12 divide by 4 x=3 test your work 3/3 + 3 =4 1+3=4 4=4
It can be 1 x 20 or 2 x 10 or 4 x 5
product of 3 x 15
An array is a contiguous memory allocation divided into one or more elements of equal size. A 5 x 46 array is an array of 5 elements where each element is another array of 46 elements. In other words it is an array of arrays. We can the array a two-dimensional array because it has 5 elements in one dimension (the rows) and 46 in the other dimension (the columns). If an individual column element is 4 bytes long, then each row element consumes 46 x 4 = 184 bytes of memory while the entire array consumes 5 x 184 = 920 bytes in total. We can also think of the entire array as being a one-dimensional array of 5 x 46 = 320 elements of 4 bytes each.
All multi-dimensional arrays are represented as arrays of arrays. That is, each element of the array is itself an array. Thus a two-dimensional array can be thought of as being a one-dimensional array where every element is a one-dimensional array. A three-dimensional array is therefore a one-dimensional array of two-dimensional arrays. And so on. The actual memory layout of a multi-dimensional array is no different to that of a one-dimensional array of the same size: int a[12]; int b[3][4]; Assuming a 4-byte int, the amount of memory allocated to a is 12 x 4 = 48 bytes. The array b is essentially an array where each element holds an array of 4 integers, thus each element is 16 bytes in length. Given there are 3 such elements in total, the total size of b is 3 x 16 = 48 bytes, the same as was allocated to a. Although the allocations are exactly the same in terms of size, the layouts differ. The array a is an array of twelve 4-byte elements (of type int) whereas array b is an array of three 16-byte elements, each of which is itself an array of four 4-byte elements (of type int). This changes the way we refer to the individual elements of the array. Every element in an array is referred to by its offset address from the start of the array. This is determined by multiplying its zero-based index by the element size. In the case of a, every element is 4-bytes in length, thus element a[2] refers to the element that is offset 2 x 4 = 8 bytes from the start of the array. But in the case of b, however, b[2] would refer to the 16-byte element that is offset 2 x 16 = 32 bytes from the start of the array. Given that we're actually referring to an element which is itself a 4-element array, we must use a second subscript to refer to the elements of that array. Thus b[2][3] would refer to the integer that is offset 3 x 4 bytes from the start of the array referred to by b[2]. Extending this idea into three-dimensions is simply a matter of taking a third subscript into account.
An irregular dimensional array is a special type of multi-dimensional array.First we must understand that a multi-dimensional array is just an array of arrays. Each element in the array is, itself, an array of elements.A regular multi-dimensional array will be an array of size n, with each element containing a separate array of size m. That is, each sub-array has the same size.An irregular multi-dimensional array will be a multi-dimensional array in which each sub-array does not contain the same number of elements.Regular array:array[0] = new array{0, 1, 2}array[1] = new array{3, 4, 5}array[2] = new array{6, 7, 8}array[3] = new array{9, 10, 11}This regular array is an array of size 4 in which each sub-array is of size 3.Irregular array:array[0] = new array{0, 1, 2}array[1] = new array{3, 4}array[2] = new array{5, 6, 7}array[3] = new array{8, 9, 10, 11}This irregular array is an array of size 4 in which the size of each sub-array is not the same.
The ReDim command reallocates the storage space of an array variable.So for example, if you did the following:Dim Arr_TestArray(9, 2) as IntegerTo create an integer array with 10 x 3 elements, and wanted to resize it to 5 x 5 elements you would do the following:ReDim Arr_TestArray(4, 4)You will however lose all the existing data stored in that array unless you use the Preserve command alongside it.(Note: Arrays have a zero element in .net so by declaring an array length of 4, it will ifnact have 5 elements)
Option 1) Use a temporary variable: int x = array[i]; array[i] = array[i+1]; array[i+1] = x; Option 2) Use bit operators: array[i] ^= array[i+1] ^= array[i];
okay if x-4=3 then x=7 bcause 4+3=x = 4+3=7 and 7-4=3!
The dimensions are 3 x 6. Also, since there are two numbers, you might say it is a 2-dimensional array.
(x - 3)/(12 - 4x) = (x - 3)/[4(3 - x)] = (x - 3)/[-4(x - 3)] = 1/-4 = -(1/4)
Working with two-dimensional arrays is really no different to working with a one-dimensional array. A two-dimensional array is really just a one-dimensional array where every element is a one-dimensional array. int x[4]; Here, x is a one-dimensional array of 4 elements of type int. int y[3][4]; Here, y is two-dimensional, however it's actually a one-dimensional array of 3 elements where each element is exactly the same type as x; an array of 4 elements of type int. The biggest problem with multi-dimensional arrays is when we pass arrays into functions. An array implicitly decays to a pointer so we lose all information regarding the dimensions when we pass them to functions. Thus we have to pass the dimensions as separate arguments. However, a two-dimensional array does just decay to a point it decays to a pointer-to-pointer. That is, each dimension adds another level of indirection. The following example demonstrates how to pass a multi-dimensional array to a function: #include<stdio.h> void print2d (int* a, unsigned rows, unsigned cols) { for (unsigned r=0; r<rows; ++r) { for (unsigned c=0; c<cols; ++c) printf ("%d\t", a[r * cols + c]); printf ("\n"); } } int main() { int x[3][4] = {{1, 2, 3, 4}, {5, 6, 7, 8}, {9, 10, 11, 12}}; print2d (&x[0][0], 3, 4); return 0; } Note that we don't have this problem in C++ because we can use std::array and std::vector objects, which are much easier to work with and just as efficient as any built-in array.
x^(-5/3) = 4 1/x^(5/3) = 4 x^(5/3) = 1/4 [x^(5/3)]^(3/5) = (1/4)^(3/5) x = 1/4^(3/5) or, x = 4^(-3/5) Check: x^(-5/3) = 4 [4^(-3/5)]^(-5/3) = 4 ? 4 ^(15/15) = 4 ? 4^1 = 4 ? 4 = 4