Coin 1 is Q, the very top coin is N and the one below that is Q. For the bottom coin 2 that's N and the very bottom is also N and the one on top of the very bottom is Q. I hope that helped!
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Answer:
312
Step-by-step explanation:
We can calculate by dividing it into 2 parts. The first part has length of 6, width of 4 and height of 2, so volume of this part is 48. Similarly, we can calculate that the volume of the second part is 264. Hence, the total volume is 312.
Answer: The starting time is 2:27 and finishing time is 7:09.
Step-by-step explanation: It is given that Ben started from 4th street and he finished at 98th street.
Also, at 3:00, he was on 15th street and at 4:30, he was on 45th street.
That is, time taken to cover (45-15), i.e., 30 streets is 90 minutes, so the time taken to cover 1 street is 3 minutes.
Therefore, Ben covers distance from one street to second in 3 minutes. Since he started from 4th street, and there are 11 streets to cover between 4 and 15, so Ben's starting time was (3:00 - 3×11 min) = 2:27.
And his finishing time was (4:30 + 3×53 min) = 7:09.
Again, the equation that tells us on what street 'N' he was after time 'T' of his starting can be written as
Thus, the starting and finishing time was 2:27 and 7:09 respectively.
Answer:
y = 2eˣ - sin x + 1
Step-by-step explanation:
dy/dx = 2eˣ - cos x
(0, 3)
Integrate dy/dx to find the original function.
Solve for C by substituting the point given.
- 3 = 2e⁰ - sin(0) + C
- 3 = 2 - 0 + C
- 1 = C
Now we can substitute C into the original function.
This is the particular, or explicit, solution to the differentiable equation.
Answer:
5676.16 cm^3
Step-by-step explanation:
The volume of any prism is given by the formula ...
V = Bh
where B is the area of one of the parallel bases and h is the perpendicular distance between them. Here, the base is a triangle, so its area will be ...
B = 1/2·bh
where the b and h in this formula are the base and height of the triangle, 28 cm and 22.4 cm.
Then the volume is ...
V = (1/2·(28 cm)(22.4 cm))·(18.1 cm) = 5676.16 cm^3
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You will note that this is half the product of the three dimensions, so is half the volume of a cuboid with those dimensions. Perhaps you can see that if you took another such prism and placed the faces having the largest area against each other, you would have a cuboid of the dimensions shown.
