The potential energy is converted into kinetic energy.
Therefore, for conservation of energy we have:
mgh = (1/2) m * v ^ 2
From here we clear the speed:
v = root (2 * g * h)
The height will then be:
h = v ^ 2 / (2 * g)
Substituting the values:
h = (34) ^ 2 / (2 * (32))
h = 18.0625 feet
Answer: The pear before it fell was 18.0625 feet up in the tree.
Answer:
y - 12 = -3 (x - 6)
y = -3x +6
6 minutes
The delivery times decreased by 3 minutes each day
Step-by-step explanation:
Point Slope:
Let's pick a point first (6,12)
The Slope of the line is -3
y - y1 = m (x - x1)
y - 12 = -3 (x - 6)
Slope-intercept:
The y-intercept is not shown on the graph but we can turn the point slope form of the equation to slope-intercept
y - 12 = -3x + 18
y = -3x +6
y-intercept:
y = mx + b
y = -3x + 6
m = 6
6 minutes
Slope:
we already know the slope is 3
The delivery times decreased by 3 minutes each day
The interest rate is 0.58, or 58 percent.
11,193.64 = 10,000 (1 + i)^2
Divide each side by 10,000.
1.119364 = (1 + i)^2
Take the square root of both sides.
1.058 = 1 + i
Subtract 1
i = 0.58
Answer:
The probability that the first subject to be a universal blood donor is the seventh person selected is 0.0511
Step-by-step explanation:
Let's start defining the random variable X.
X : ''The first success is on the xth trial''
X can be modeled as a geometric random variable with the following probability function :
Where 
is the probability of the random variable X to assumes the value ''x''.
The variable p is the success probability.
For this exercise, we define a success as someone randomly selected is a universal donor and that probability is 
We are looking for : 
The probability function is :
Answer:
The quantity is 12
Step-by-step explanation:
Here, we want to find the solution to the equation.
Let the quantity we are looking for be x;
According to the question;
The quantity plus a quarter of the quantity = 15
x + 1/4(x) = 15
x + x/4 = 15
Multiply through by 4
4x + (x/4)*4 = 15 * 4
4x + x = 60
5x = 60
x = 60/5
x = 12
