Missing part in the heading of the question:
"The force f (in pounds) required to push a sofa across the floor varies directly as the weight w (in pounds) of the sofa"
Answer:
F = 0.625 w
Explanation:
We are given that F in pounds varies directly with the weight of the sofa in pounds.
This means that:
F = kw
where:
F is the force
k is the constant of proportionality
w is the weight of the sofa
We are given that:
F is 100 pounds when w is 160 pounds
Substitute with these givens in the above equation to get the constant of proportionality k as follows:
F = kw
100 = 160k
k = 100 / 160
k = 0.625
This means that the equation describing the relation between the force and the weight of the sofa is:
F = 0.625 w
Hope this helps :)
Answer:
x=3/4,y=5/2
Step-by-step explanation:
y=-x^2+4,y=2x+1
substitute y=-x^2+4 as y for y=2x+1
2x+1=-x^2+4, x=3/4(isolate "x")
x=3/4
substitute x=3/4 for 2x+1=-x^2+4
y=2*3/4+1
y=5/2
x=3/4, y=5/2
hope this helps!
Answer:
its ok
Step-by-step explanation:
Answer:
84
Step-by-step explanation:
15+15+27+27
Answer:
2.0
Step-by-step explanation:
Couldn't really understnd what you wrote but I'll assume it's the standard deviation of a fair, 7-sided die
The standard deviation is just the square root of the variance (which is just the second moment minus the first moment squared)
The first moment (AKA the average is..)
The second moment is..
