Answer:
Step-by-step explanation:
A hypothesis is a proposed explanation for a phenomenon. For a hypothesis to be a scientific hypothesis, the scientific method requires that one can test it. Scientists generally base scientific hypotheses on previous observations that cannot satisfactorily be explained with the available scientific theories
Answer:
18 hours
Step-by-step explanation:
Let the volume of the pool be x. Since pipe A filled the pool in 6 hours, the rate of pipe A = x / 6.
Let the rate of pipe b be y, Hose A filled the pool alone for the first 2 hours, this means that the volume filled in the 2 hours is x/6(2 hours) and the two hoses, working together, then finished filling the pool in another 3 hours for the 3 hours the volume filled is x/6(3) + y(3). hence the total time is:
x/6(2) + x/6(3) + y(3) = x
x/3 + x/2 + 3y = x
Multiply through by 6:
2x + 3x + 18y = 6x
5x + 18y = 6x
18y = x
y = x/18
The rate of pipe B is x/18, this means it would take pipe B 18 hours to full the pool alone
Answer:
Step-by-step explanation:
The point-slope formula for a straight line is
y - y₁= m(x - x₁)
x₁ = 1; y₁ = -1; m = 4
Substitute the values
The figure shows the graph of the equation with slope 4 passing through (1, -1).
x = - 
- 4x - 25 = 8x + 15
subtract 8x from both sides
- 4x - 8x - 25 = 15
- 12x - 25 = 15
add 25 to both sides
- 12x = 15 + 25 = 40
divide both sides by - 12
x = 
= -
Make equation: y = mx + b
x = 2y + 14
2y = x - 14
y = 1/2x - 7
Perpendicular: opposite sign and reciprocal slope
y = -2x + b
-3 = -2(-1) + b, b = -5
Equation: y = -2x - 5
