Answer:
Between $59.50 and $61.50
Step-by-step explanation:
Since this is about, we have to round the numbers.
85.58 is rounded to 86
24.98 is rounded to 25
2.49 is rounded to 2.50
Therefore:
86 - 25 - 2.50 = 59.50
So the correct answer is #3
Answer:
1648
Step-by-step explanation:
The x =0 and y = 1 are coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2.
<h2>We have to determine</h2>
What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2?
<h3>According to the question</h3>
A line segment at points A(2, -3) and B (-4, 9).
The x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2 is given by;
![\rm x=\dfrac{m}{(m+n)} [x_2- x_1]+ x_1 \\ \\ y=\dfrac{m}{(m+n)} [y_2- y_1]+ y_1 \\ \\](https://tex.z-dn.net/?f=%5Crm%20x%3D%5Cdfrac%7Bm%7D%7B%28m%2Bn%29%7D%20%5Bx_2-%20x_1%5D%2B%20x_1%20%5C%5C%0A%5C%5C%0A%20y%3D%5Cdfrac%7Bm%7D%7B%28m%2Bn%29%7D%20%5By_2-%20y_1%5D%2B%20y_1%20%5C%5C%0A%5C%5C)
Where 
Substitute all the values in the formula;
![\rm x=\dfrac{m}{(m+n)} [x_2- x_1]+ x_1 \\\\](https://tex.z-dn.net/?f=%5Crm%20x%3D%5Cdfrac%7Bm%7D%7B%28m%2Bn%29%7D%20%5Bx_2-%20x_1%5D%2B%20x_1%20%5C%5C%5C%5C%20)
![\rm x=\dfrac{1}{(1+2)} [-4-(2)]+ (2)\\\\ x = \dfrac{1}{3} \times (-6) +2 \\ \\ x = -2+2\\ \\ x=0](https://tex.z-dn.net/?f=%5Crm%20x%3D%5Cdfrac%7B1%7D%7B%281%2B2%29%7D%20%5B-4-%282%29%5D%2B%20%282%29%5C%5C%5C%5C%20x%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%20%5Ctimes%20%28-6%29%20%2B2%20%5C%5C%0A%5C%5C%0Ax%20%3D%20-2%2B2%5C%5C%0A%5C%5C%0Ax%3D0)
![\rm y=\dfrac{m}{(m+n)} [y_2- y_1]+ y_1 \\\\ y=\dfrac{1}{(1+2)} [9-(-3)]+ (-3)\\\\ y = \dfrac{1}{3} \times (12) -3\\ \\ y = 4-3\\ \\ y =1](https://tex.z-dn.net/?f=%5Crm%20y%3D%5Cdfrac%7Bm%7D%7B%28m%2Bn%29%7D%20%5By_2-%20y_1%5D%2B%20y_1%20%5C%5C%5C%5C%20y%3D%5Cdfrac%7B1%7D%7B%281%2B2%29%7D%20%5B9-%28-3%29%5D%2B%20%28-3%29%5C%5C%5C%5C%0Ay%20%3D%20%5Cdfrac%7B1%7D%7B3%7D%20%5Ctimes%20%2812%29%20-3%5C%5C%0A%5C%5C%0Ay%20%3D%204-3%5C%5C%0A%5C%5C%0Ay%20%3D1)
Hence, the x =0 and y = 1 are coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2.
To know more about Coordinates click the link given below.
brainly.com/question/13847533
Answer:
D. 48
Step-by-step explanation:
Let's first find the probability that in the first 40 trials, exactly two of the coins are heads.
We know that there were 16 such outcomes of 2 heads and 1 tail, and there was a total of 40 possible outcomes. So our probability is:
16 / 40 = 4 / 10 = 2/5
We can assume that the probability that in the next 120 trials, about 2/5 of the outcomes will also be 2 heads and 1 tail. So, we multiply 2/5 by 120 to figure out that exact number:
(2/5) * 120 = 240/5 = 48
The answer is thus D.
Answer: Identify which of the following functions are eigenfunctions of the operator d/dx: (a) eikx, (b) cos kx, (c) k, (d) kx, (e) e−ax2
Step-by-step explanation: First, we going to apply the operator derivate to each item. Remember that a function f is an eigenfunction of D if it satisfies the equation
Df=λf, where λ is a scalar.
a) D(eikx)/dx= ik*eikx, then the function is a eigenfunction and the eingenvalue is ik.
b) D(cos kx)/dx= -ksen kx, then the funcion is not a eigenfunction.
c) D(k)/dx=0, then the funcion is not a eigenfunction.
d) D(kx)/dx=k, then the funcion is not a eigenfunction.
e) D(e-ax2)/dx= -2ax*e-ax2, then the function is a eigenfunction and the eingenvalue is -2ax
