Answer:
16.86 ft/s
Step-by-step explanation:
Given that
Speed of the carousel, s = 14 rpm
Distance from the carousel, d = 23 ft
To start with, we convert the given speed to revolution per second, so that
s = 14/60 rev/sec
To find the needed speed, we use the formula
v =2πnR, remember that Diameter = 2R, so we substitute D for 2R and get πnD
v = πnD, and we use this to find our needed velocity
v = 3.142 * 14/60 * 23
v = 72.266 * 14/60
v = 16.86 ft/s
Therefore the boy must run at a speed of 16.86 ft/s in order to be able to match the carousel and jump on it
Answer: 17/52
Step-by-step explanation:
There are 52 total cards in a standard deck.
The number of diamonds in a deck of cards is 13 and there are 4 jacks in a deck of cards.
So the propabibilty of Pat picking a diamond is 13/52 and the probability of Pat picking a jack is 4/52. Now you have to add the two probabilities together.
You do not remove any digits because Pat put the card back into the deck, he didn't take it away. So we do not take away from the total
13 + 4 = 17
You do not need to change the denominator cause 52 is the same.
So 17/52 is the probability of Pat picking a diamond or a jack
I hope this helped!
Y + 4 = 4/3(x + 1)...first we distribute
y + 4 = 4/3x + 4/3 ...now we subtract 4 from both sides
y = 4/3x + 4/3 - 4
y = 4/3x + 4/3 - 12/3
y = 4/3x - 8/3 <======
u will have a slope of 4/3....and a y int of (0,-8/3)...ur x int is (2,0)
in standard form, it is :
y = 4/3x - 8/3
-4/3x + y = -8/3
4x - 3y = 8....in case u need to find some points to graph
Answer:
I don't understand your ques
Step-by-step explanation:
Answer:
D. y-5 = 3(x+1)
Step-by-step explanation:
Slope of the perpendicular line is 3.
Slope intercept form is,
y-5 = 3 (x-(-1))
y-5 = 3(x+1)
