Answer:
48 cubes
Step-by-step explanation:
step 1
Find the volume of one 1/2 unit cube
The volume of the cube is given by

where
b is the length side of the cube
we have

substitute


step 2
Divide the volume of the prism by the volume of one cube

Answer:
Assuming it's actually charging per video, and not just for a subscription, the cost per video would be .40 (40 cents per movie)
Step-by-step explanation:
10.99 / 28 =
.3925
Which rounded up is .40
The error occurred in step 2. You have to use the distributive property for the parenthesis. It is supposed to be 5p+15.
The correct solution is p>-13.
For part one, this means that the y value (the second value) is -8, and since we know that y=3x-2, we can say that -8=3x-2.
Adding 2 to both sides using the addition property of equality, we get -6=3x. Next, dividing by 3 using the division property of equality, we get -2=x. Therefore, plugging -2 in the point, we get (-2,-8) as our point.
For the second point, we have 2 as the x value, so we can plug that into 3x-2 to get 3*(2)-2=6-2=4 as the y value, making the point (2,4)
Feel free to ask further questions!
Answer:
The number of ways is equal to 
Step-by-step explanation:
The multiplication principle states that If a first experiment can happen in n1 ways, then a second experiment can happen in n2 ways ... and finally a i-experiment can happen in ni ways therefore the total ways in which the whole experiment can occur are
n1 x n2 x ... x ni
Also, given n-elements in which we want to put them in a row, the total ways to do this are n! that is n-factorial.
For example : We want to put 4 different objects in a row.
The total ways to do this are
ways.
Using the multiplication principle and the n-factorial number :
The number of ways to put all 40 in a row for a picture, with all 12 sophomores on the left,all 8 juniors in the middle, and all 20 seniors on the right are : The total ways to put all 12 sophomores in a row multiply by the ways to put the 8 juniors in a row and finally multiply by the total ways to put all 20 senior in a row ⇒ 