The domain of a function is the set of the possible input values of the function. For example: consider the function f(x) = cos x, the domain of the function is the set of possible values of x.
The cosine function takes x values from all real numbers.
Therefore, the domain of the cosine function is a real numbers.
We know that
[length of a circumference ]=2*pi*r
for r=3 ft
[length of a circumference ]=2*pi*3-----------> 18.84 ft
<span>The angular velocity of the particle is 18 radians per minute.
if 2pi radians (full circle)------------------> 18.84 ft
18 radians----------------------------------> X
X=18*18.84/(2*pi)---------> X=54 ft
so
</span>The linear velocity of the particle is 54 ft/minute
the answer is
54 ft/min
Answer:
t = 1.667 s
Step-by-step explanation
The distance traveled since the warning flag in feet is characterized by
d = 30*t^2 + 40*t
Where t is the time in seconds after the car starts accelerating.
We can easily solve this question by plotting the equation using a graphing calculator or plotting tool.
We need to find the time for which the distance d = 150 ft
150 = 30*t^2 + 40*t , t > =0
We can see that this value in the graph is approximately
t = 1.667 s
We can verify
30*(1.667)^2 + 40*(1.667 ) ≈ 150
Answer:
Step-by-step explanation:
His original gross monthly salary was $1083.34. This means that the total amount that he earned that he earned in the first 6 months would be
6 × 1083.34 = $6500.4
After working satisfactorily for 6 months, Dave received a 7% raise. The amount by which it was raised would be
7/100 × 6500.4 = $455.00
His salary for the next 6 months would be
6500.4 + 455.00 = $6955.40
Dave's gross annual salary would be
6955.40 + 6500.4
= $13455.8
Answer:
The probability that the pirate misses the captain's ship but the captain hits = 0.514
Step-by-step explanation:
Let A be the event that the captain hits the pirate ship
The probability of the captain hitting the pirate ship, P(A) = 3/5
Let B be the event that the pirate hits the captain's ship
The probability of the pirate hitting the captain's ship P(B) = 1/7
The probability of the pirate missing the captain's ship, P'(B) = 1 - P(B)
P'(B) = 1 - 1/7 = 6/7
The probability that the pirate misses the captain's ship but the captain hits = P(A) * P(B) = 3/5 * 6/7
= 0.514
