Answer:
8,146 x 121
Step-by-step explanation:
This is a problem in which you need to measure your understading of "orders of magnitude."
If the estimated answer is 
that means that we are looking at a multiplication in the "order of" 
You need to look at the "orders of magnitude" of the things you're multiplying. In the first case, we have 
that would be "of the order of" 
times 
. So the whole multiplication would "of the order of" 
or near 
The correct answer, 8,146 x 121, is because it's "of the order of" times 
and the gives us the we need.
If you have ever seen a pinball machine, you would know that it is shaped like a rectangular box. Since a rectangle has two sets of equal parallel lines, then you would have to know the length and the width. Its perimeter is equal to the total length of all sides. Thus, the equation is 2L + 2W = 172 inches. However, since there is no other data other than the perimeter, I can't give a definite numerical answer. The only answer I could give is in variables. Thus, the length of the pinball machine is
2L = 172 - 2W
L= 86 - W
Answer:
x=-4/9, y=10/3. (-4/9, 10/3).
Step-by-step explanation:
3x+4y=12
3x=2y-8
--------------
2y-8+4y=12
6y-8=12
6y=12+8
6y=20
y=20/6
simplify,
y=10/3
3x=2(10/3)-8
3x=20/3-8
3x=20/3-24/3
3x=-4/3
x=(-4/3)/3
x=(-4/3)(1/3)=-4/9
x=-4/9, y=10/3. (-4/9, 10/3).
Answer:
D
Step-by-step explanation:
9514 1404 393
Answer:
the correct answer is marked
Step-by-step explanation:
The graph ranges vertically between 9 and 15, starting at 9 (the minimum) when x=0. The minimum appears again at x=350.
This means the vertical offset is (9+15)/2 = 12, and the amplitude is (15 -9)/2 = 3. The period is 350, so the coefficient of x is (2π/350). All of the answer choices agree on these parameters.
So, the selection comes down to an understanding of how the sine and cosine curves vary. The sine curve starts at zero and increases from there. The cosine curve starts at its maximum (1) and decreases. Here, the curve starts a its minimum and increases, so could be the opposite of the cosine function.
y = -3cos(2πx/350) +12 . . . . . . matches choice C
