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Gala2k [10]
3 years ago
7

Which function, b or c, is the inverse function for function a?

Mathematics
2 answers:
andrezito [222]3 years ago
8 0

Answer:

If the perimeter of the rectangle is 60 in, find its area.

If the perimeter of the rectangle is 60 in, find its area.

Schach [20]3 years ago
4 0

Function Algebra Unit test

1. (F•g)(x)=3x-9/x+4

2. F^-1 (x) = -3x-4/x-7

3. ( -5 , 0) u ( 0 ,~)

4. D: (-~,2) u (2,~) R: (-~,0) u (0,~)

5. {y|0 _< y< 8}

6. Restricted domain : x _> -4 ;f^-1 (x) = -4+ sqrt x-3

7. The function C because the graphs of A and C are line symmetrical about the Y=X

8. (-~,-3) u (-3,-5/2) u (-5/2,~)

9. ( 4 points )

10. (g • f) (x)= x+3/sqrt x+2

11. (f•g) (x) = x+6 ; [ -2,~)

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Morgarella [4.7K]

Answer:

y = 11 - 10cos(0.1\pi t)

Step-by-step explanation:

Suppose at t = 0 the person is 1m above the ground and going up

Knowing that the wheel completes 1 revolution every 20s and 1 revolution = 2π rad in angle, we can calculate the angular speed

2π / 20 = 0.1π rad/s

The height above ground would be the sum of the vertical distance from the ground to the bottom of the wheel and the vertical distance from the bottom of the wheel to the person, which is the wheel radius subtracted by the vertical distance of the person to the center of the wheel.

y = h_g + d_b = h_g + R - d_c (1)

where h_g = 1 is vertical distance from the ground to the bottom of the wheel, d_b is the vertical distance from the bottom of the wheel to the person, R = 10 is the wheel radius, d_c is the vertical distance of the person to the center of the wheel.

So solve for d_c in term of t, we just need to find the cosine of angle θ it has swept after time t and multiply it with R

d_c = Rcos(\theta(t)) = Rcos(\omega t) = 10cos(0.1\pi t)

Note that d_c is negative when angle θ gets between π/2 (90 degrees) and 3π/2 (270 degrees) but that is expected since it would mean adding the vertical distance to the wheel radius.

Therefore, if we plug this into equation (1) then

y = h_g + R - d_c = 1 + 10 - 10cos(0.1\pi t) = 11 - 10cos(0.1\pi t)

7 0
3 years ago
Is the following statement a good definition? Why?
Zarrin [17]
<span>D No, it is not. A straight angle has a measure greater than 90°, but it is not an obtuse angle.
The sentence should say: </span>An obtuse angle is an angle whose measure is greater than 90° but less than 180° 
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USPshnik [31]

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b

Step-by-step explanation:

6 0
3 years ago
Hello, a quick question which number is least to greatest 0.359, 0.35, 1
Aleksandr-060686 [28]

Answer:

0.35, 0.359, 1

Step-by-step explanation:

0.359 = 359 thousandths

0.35 = 0.350 = 350 thousandths

1 = 1.000 = 1000 thousandths

Since 350 < 359 < 1000, then from least to greatest you get

0.35, 0.359, 1

6 0
4 years ago
In one school year, the students spent a total of 840 hours in their classes. If they have EIGHT different classes, how many hou
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280 hours

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