Answer:
The nucleus and the electron cloud.
Step-by-step explanation:
Answer:
<em>18.2°, 161.8° and 378.2°</em>
Step-by-step explanation:
Given the expression:
8 sin x = 2.5
Divide both sides by 8
sinx = 2.5/8
Sinx = 0.3125
x = arcsin(0.3125)
x1 = 18.2
Since sin theta is positive in the second quadrant, x2 = 180 - 18.2 = 161.8°
Since our angle must lie in between 0° and 720°,then;
x3 = 360 + 18.2 = 378.2°
<em>Hence the required angles are 18.2°, 161.8° and 378.2°</em>
Answer:
The level was 402.7ft. at the end of two weeks.
Step-by-step explanation:
First, we need to find the amount of decrease for the first week.
520 x 0.12 = 62.4
Now, we subtract the change for the first week.
520 - 62.4 = 457.6
Next, we find the change for the second week.
457.6 x 0.12 = 54.912
Then, we subtract the change for the second week.
457.6 - 54.912 = 402.688
And we are left with our final answer that is 402.688ft. or if you wish to round to the nearest tenth, then your answer would be 402.7ft.
Applying parallel line postulate twice
36degree=3x degree +2y degree
126 degrees=12 x degree + 2y degree
So, the two equations are:
3x + 2y = 36
and
12x + 2y = 126
Eliminate x to solve for y
-(3x + 2y)= -(36)
-3x - 2y = -36
Combine the equations
(-3x - 2y)+ (12x + 2y) = (-36) + (126)
-3x -2y + 12x + 2y = -36 + 126
9x = 90
x = 10
Plug value of x back into to the equations to solve for y
3(10) + 2y = 36
30 + 2y = 36
2y =6
y = 3
Optional
Plug x into the other equation to check for error
12(10) +2y = 126
120 + 2y =126
2y = 6
y = 3
Answer:
(fg)(x) = 12x^3 + 9x^2 + 28x + 21
Third option
Step-by-step explanation:
(fg)(x) = (3x^2 + 7)(4x + 3)
(fg)(x) = = (3x^2)(4x) + (3x^2)(3) + (7)(4x) + (7)(3)
(fg)(x) = 12x^3 + 9x^2 + 28x + 21
