The difference is 45.
The modal number of the electoral votes is 5 because it appears the most.
The range of the electoral votes is 55 - 5 = 50 (Highest minus the lowest).
The difference between the two is found by subtracting them.
50 - 5 = 45
Answer:
y= 3x^2 y= 3^x
1. 3. 3
2. 12. 9
Step-by-step explanation:
3(1)^1
3
3^1
3
3(2)^2
3(4)
12
3^2
9
Answer:
8√2
Step-by-step explanation:
4√2 + 7√2 - 3√2 = (√2)(4 + 7 - 3) = 8√2
Recognize that √2 is a common factor and simply add its coefficients.
Answer:
(8√2) / 15
Step-by-step explanation:
A curve bounded by the y-axis is represented by in terms of dy;
When the curve crosses the y-axis, x will be 0. In this case x is the function of t, so we have to solve for x(t) = 0;
0 = t^2 + 2t --- (1)
Solution(s) => t = 0, t = 2
dy = (1/2 * 1/√t)dt --- (2)
Our solutions (0, 2) are our limits. The area of the curve is in the form 
, so now let's introduce the limits of integration, x(t) and dy/dt. Remember, dy/dt = (1/2 * 1/√t) (second equation). 1/2 * 1/√t can be rewritten as 1/2 * t^(-1/2)....
![A\:=\:\int _2^0\:\left(t^2-2t\right)\left(\frac{1}{2}t^{-\frac{1}{2}}\right)dt\\\\= \int _2^0\:\left(\frac{1}{2}t^{\frac{3}{2}}-t^{\frac{1}{2}}\right)dt\\\\= \left[\frac{t^{\frac{5}{2}}}{5}-\frac{2t^{\frac{3}{2}}}{3}\right]_2^0\\\\= 0\:-\:\left(\frac{4\sqrt{2}}{5}-\frac{4\sqrt{2}}{3}\right)\\\\= \frac{8\sqrt{2}}{15}](https://tex.z-dn.net/?f=A%5C%3A%3D%5C%3A%5Cint%20_2%5E0%5C%3A%5Cleft%28t%5E2-2t%5Cright%29%5Cleft%28%5Cfrac%7B1%7D%7B2%7Dt%5E%7B-%5Cfrac%7B1%7D%7B2%7D%7D%5Cright%29dt%5C%5C%5C%5C%3D%20%5Cint%20_2%5E0%5C%3A%5Cleft%28%5Cfrac%7B1%7D%7B2%7Dt%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D-t%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%5Cright%29dt%5C%5C%5C%5C%3D%20%5Cleft%5B%5Cfrac%7Bt%5E%7B%5Cfrac%7B5%7D%7B2%7D%7D%7D%7B5%7D-%5Cfrac%7B2t%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%7D%7B3%7D%5Cright%5D_2%5E0%5C%5C%5C%5C%3D%200%5C%3A-%5C%3A%5Cleft%28%5Cfrac%7B4%5Csqrt%7B2%7D%7D%7B5%7D-%5Cfrac%7B4%5Csqrt%7B2%7D%7D%7B3%7D%5Cright%29%5C%5C%5C%5C%3D%20%5Cfrac%7B8%5Csqrt%7B2%7D%7D%7B15%7D)
Your solution is 8√2 / 15
