Answer:
Equation of movement y(t)

Amplitude: 1 inch
Period: 0.628 seconds
Step-by-step explanation:
If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch

The period depends on the mass and the spring constant.
The formula for the period is:

The model y(t) for the movement of the mass-spring system is

Answer:
The points are (-1, 1), (2, 7), (1, -1), (3, 0)
Step-by-step explanation:
Let us solve the question
∵ f(x) = y
∴ The coordinates of the point are (x, y)
→ Let us use this fact to find the coordinates of each point
∵ f(-1) = 1
∴ x = -1 and y = 1
∴ The coordinates of the point are (-1, 1)
∵ f(2) = 7
∴ x = 2 and y = 7
∴ The coordinates of the point are (2, 7)
∵ f(1) = -1
∴ x = 1 and y = -1
∴ The coordinates of the point are (1, -1)
∵ f(3) = 0
∴ x = 3 and y = 0
∴ The coordinates of the point are (3, 0)
The graph is attached down
Answer:
Step-by-step explanation:
Let x be the random variable representing the the length of newborn babies (in inches). Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 20 inches
σ = 2.6 inches
the probability that a given infant is between 14.8 and 25.2 inches long is expressed as
P(14.8 ≤ x ≤ 25.2)
For x = 14.8,
z = (14.8 - 20)/2.6 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.023
For x = 25.2
z = (25.2 - 20)/2.6 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.98
Therefore,
P(14.8 ≤ x ≤ 25.2) = 0.98 - 0.23 = 0.75
Answer:
i believe its 9.09
Step-by-step explanation:
i did this problem 3 different ways
first i put it all in a calculator and got 9.09
then i did 0.81/0.09 = 9+ 0.81 = 9.81/9 = 1.09
finally i did 0.81/0.09 = 9 0.81/9 = 0.09
9+ 0.09 = 9.09
therefore 9.09 is what i believe the answer is
i hope this helps you!
12ft x 15ft = 180ft divided $150 = 1.2(this is how much the fts cost)
16ft x 20ft = 320ft divided by 1.2 = $266.66