Answer:
1 m/s
Step-by-step explanation:
the area of the triangle = A = ¹/₂ab
where a is the distance covered by the first person and b is the distance covered by the second person. since they walk at the same speed, then a = b, so our formula can be changed to A = ¹/₂x²
now we find the derivative of both sides:
dA/dt = ¹/₂ ⋅ dx²/dt
dA/dt = ¹/₂ ⋅ 2x ⋅ dx/dt
dA/dt = x ⋅ dx/dt = x ⋅ velocity
we are told that x = 5 m, and dA/dt = 5 m²/s
velocity = dA/dt / x
velocity = 5 m²/s / 5 m = 1 m/s
Answer:
-6 - square root 31, -6 + square root 31
Answer:
f(x) = x(x - 4)(x + 3)
Step-by-step explanation:
given f(x) with zeros x = a and x = b then the corresponding factors are
(x - a) and (x - b)
f(x) is then the product of these factors
Given zeros are x = 4, x = 0, x = - 3 then the factors are
(x - 4) , (x - 0), (x - (- 3)) , that is
(x - 4) , x , (x + 3)
f(x) = x(x - 4)(x + 3)
Answer:
answer my question when done thanks``
Step-by-step explanation:
ty
Answer:
(0.4958, 0.7422)
Step-by-step explanation:
Let p be the true proportion of water specimens that contain detectable levels of lead. The point estimate for p is
. The estimated standard deviation is given by
. Because we have a large sample, the 90% confidence interval for p is given by
where
is the value that satisfies that above this and under the standard normal density there is an area of 0.05. So, the confidence interval is
, i.e., (0.4958, 0.7422).