1)
.
2)
.
3) The particle is moving right when the velocity function is positive:
or
.
4) When
the particle is slowing down because the acceleration is close to zero
the particle is speeding up when acceleration is increasing away from zero:
.
5)
.
Since the sum of all probabilities of all all elementary events will always be equal to 1. Furthermore, the probabilities of all mutually exclusive set of events that is part of the entire sample space will always be total of 1.
So in the problem, the answer is 1/8.
1/8 for red + 3/8 for green + 3/8 for yellow + 1/8 for blue = 8/8 or 1.
Answer: The shoe size would be recommended for a four-month-old baby is equal to 1
Step-by-step explanation:
Since, according to the given figure,
Here, x represents age of baby (in month) while y represents shoe size.
And for babies , 
the shoe size = 0
the shoe size = 1
the shoe size = 2
the shoe size = 3
the shoe size = 4
thus, from the above we can say that, the shoe size of the baby who is 4 month old is 1.
The <em><u>correct answer</u></em> is:
h(t) = –16t² + 50t + 3
Explanation:
The general form of an equation such as this is h(t) = at² + v₀t + h₀, where a is the constant due to gravity, v₀ is the initial velocity and h₀ is the initial height.
We are given that the constant due to gravity is -16.
The initial velocity is 50, and the initial height is 3; this gives us the equation
h(t) = -16t² + 50t + 3
CP - the cost of painting the house for Painting USA company [$]
cP = 75 + 25 * 25 = 75 + 625 = 700 [$]
cU - the cost of painting the house for Upscale Home Painting company [$]
cU = 0 + 40 * 25 = 1000 [$]
cP < cU
The most cost effective is Painting USA company.
n - number of houres required to paint the house if the same cost for both companies
75 + 25 * n = 40 * n
40 n - 25n = 75
15n = 75 /:15
n = 5
The cost of paining the house is the same for both companies if the number of houres required to paint the house is 5.
