Answer:
6.75 pounds
Step-by-step explanation:
This question is of direct variation. We will use x as our answer. 8 is 2/3 of 12, so 4.5 should be 2/3 of x. We can now make an equation.
In order to solve the equation, we multiply both sides by the reciprocal of 2/3, which is 3/2.
* stands for multiplication
From solving our equation, we get 6.75. We can't forget the units, so the answer is 6.75 pounds.
In analytical geometry, there are already derived equations to find the distance of lines and points as well as the angle made between two lines. As special case is when the other line is one of the coordinate axis. Then, the formula can be simplified to
tan θ =m, where m is the slope of the equation
In the next step, we also incorporate operations of calculus. Since the slope is equal to Δy/Δx, this is equivalent to dy/dx in calculus. Therefore, you can find the slope by differentiating the equation in terms of x.
<span>y-2x=7
y = 2x+7
dy/dx = 2 =m
So,
tan </span>θ = 2
θ = tan⁻¹(2)
θ = 63.43°
Answer:
20. J, 21. B
Step-by-step explanation:
20. P = 15 (2) + 8 (2)
P = 36 ft.
21. 15 - 6 = 9 ft.
Answer: B
Step-by-step explanation: (2, 12) is the only point where the apples are less than or equal to 6
When thinking about reinforcement, always remember that the end result is to try to increase the behavior, whereas punishment procedures are used to decrease behavior. For positive reinforcement, try to think of it as adding something positive in order to increase a response.
