The individual-size box of cereal is a rectangular prism with a volume of 44.625 inches³.
<h3>What is the volume of a rectangular prism?</h3>
The volume of rectangular prism of length l, width w and height h is given by:
V = lwh.
In this problem, the standard dimensions are:
- l = 3(1/2) = 3 + 0.5 = 3.5 inches.
- w = 8(1/2) = 8 + 0.5 = 8.5 inches.
The individual-size box has a 1/10 of the volume of the original box, hence:
V = 0.1 x 3.5 x 8.5 x 15 = 44.625 inches³.
More can be learned about the volume of a rectangular prism at brainly.com/question/17223528
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Answer:
Step-by-step explanation:
Given is a trignometric equation in x, as

TO make it in one trig ratio, we can replace sin2x as 2sinx cosx
WE get now


Principal solution is 
x = ±π/2 + 2kπ, where k is any integer or
x=±pi/6 +k pi, where k is any integer.
General solution is
D.1/36 because it has 6 sides which can have an possible outcome of 36
Y = -0.4x
1) It is a straight line
2) I passes through the origin (0,0), because the y-intercpet is 0.
3) The slope is negative, so it passes throuh II and III quadrants
4) The magnitude of the slope = 0.4
4) The angle of the line with the negative side of the x-axis is that whose tan is 0.4 => angle = 21.8 °
With all that information you can identify the graph, given that you didn't include the options.
Answer: The company must sold 382 units to break even.
Step-by-step explanation:
Hi, there is no question asked, so I suppose that you need to find the number of items (x) to break even.
To answer this question we have to equal both sides of the equations:
Since costs equal its income:
C=R
So:
38x +19100= 88x
Solving for x
19100= 88x-38x
19100=50x
19100/50 =x
382=x
The company must sold 382 units to break even.
Feel free to ask for more if needed or if you did not understand something.