#66 Dimensions of matrix: The dimensions of a matrix are [number of rows (across) x number of columns (up and down)] There is 1 row and 4 columns, hence the dimensions of [1 x 4]
#72: common difference is how you get from one number to the next in the sequence. So from 42 to 38, you subtract 4, and the pattern is subtract 4 for the whole sequence. So the common difference <em></em>is -4
#38: The midpoint is the middle of the two coordinates, so imagine when used to find mean by drawing a number line like 1 to 10 and the mean would be 5. What did you do? You added 1 and 10 and divided by 2. You can use the same method for finding midpoints on the coordinate plane. The formula for midpoint is <span><span>(<span><span>x1+x</span>2</span>)</span>,<span>(<span><span>y1+y</span>2</span>). So it's (5 + 2) , (8 + 7) which equals (7, 15).
#35: This is the same 3* x^(9*1/5) = 3*x^9/5 Remember square root of a number is the same as that number to the 1/2, and the same with all other roots. The fifth root of x is the same as x to the power of 1/5
#36: This is the same as 36*( x^5*3/2 * y^3*3/2), since you can put the power to each of the numbers almost like the distributive property. = 36 * (x^15/2 * y^9/2)
Well #20 is <em>extremely</em><em> </em>easy. The solutions are anything that is shaded in the blue
The rightmost question is the same thing as #20. Anything not shaded is not a solution.
</span></span> #64: Just like you learned in elementary school, the median is the middle number. The middle number is 10<span>
The surface area of a cylinder is the sum of the areas of the two circles on each end and the area encircling "rectangle". Note that the length of this "rectangle" is the height of the can, while the width is the perimeter of the circle. The full equation is:
