Answer:0.246 ft/s
Step-by-step explanation: As the worker starts moving and stops 10 feet away from the side rope connected to the load, it creates a right triangle, as illustrated in the image.
V = s/t... equation 1
S = distance the worker travels while pulling the rope = 10 ft
V = worker's velocity = 2 ft/s
T = time it takes for the worker to cover 10 ft = the same time the load takes to rise = 5 seconds
Using Pythagorean theorem to find the distance from the pulley to the new position of the worker
Square root of (40^2 + 10^2) = 41.23 ft
Distance covered by load = D = 41.23 - 40
= 1.23 ft
Load speed = D/t...equation 2
Substituting D and t into equation 2 gives us
Load speed = 1.23/5 = 0.246 ft/s
Step-by-step explanation:
What is a34 of the sequence 9,6,3,..
r=a2-a1
r=6-9
r=-3
a34=a1+33.r
a34=9+33.(-3)
a34= 9-99
a34= -90
hope this helps!
bye!
Answer:
________{0.50 if x < 3
________{1.00 if 3 ≤ x < 6
f(x) = ____{1.50 if 6 ≤ x < 9
________{2.00 if 9 ≤ x < 12
Step-by-step explanation:
Based on the details provided:
Employees with less than 3 years receive an increase of $0.50 hourly
Employees with at least 3 years but under 6 years receive $1.00 increase hourly
Employees with a minimum of 6 years and less than 9 get $1.50 increase hourly
Employees with at least 9 years but below 12 years receive $2.00 increase hourly
This information can be expressed as a piecewise function:
________{0.50 if x < 3
________{1.00 if 3 ≤ x < 6
f(x) = ____{1.50 if 6 ≤ x < 9
________{2.00 if 9 ≤ x < 12
The conditions are outlined in the piecewise function above with x indicating the number of years employed.
<span>m=10x-x for x
begin by taking x away from 10x
m=9x
then divide each side by 9
m/9=x
therefore, x=m/9</span>
Correct question:
An urn holds 3 red and 7 black balls. Players A and B take turns withdrawing balls until a red one is chosen. Calculate the probability that A picks the red ball. (A goes first, followed by B, with no replacement of drawn balls).
Answer:
The likelihood that A picks the red ball is 58.33 %
Step-by-step explanation:
A will select the red ball if it is drawn 1st, 3rd, 5th, or 7th.
1st draw: 9C2
3rd draw: 7C2
5th draw: 5C2
7th draw: 3C2
Calculating for all possible scenarios gives us:
9C2 = (9!) / (7!2!) = 36
7C2 = (7!) / (5!2!) = 21
5C2 = (5!) / (3!2!) = 10
3C2 = (3!) / (2!) = 3
Adding these possibilities results in 36 + 21 + 10 + 3 = 70.
The total outcomes for selecting a red ball = 10C3
10C3 = (10!) / (7!3!)
= 120.
The probability that A selects the red ball is determined by dividing the sum of possible events by the overall outcomes.
P( A selects the red ball) = 70 / 120
= 0.5833
= 58.33 %
