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:
B decrease
Step-by-step explanation:
First, lets put the numbers in order from greatest to least.
10 9 9 8 6 4 4
Second, let's find the median without number 1. (The median is in bold.)
10 9 9 8 6 4 4
Third, let's add the number 1.
10 9 9 8 6 4 4 1
Fourth, let's find the median with the number 1.
10 9 9 8 6 4 4 1
Since there are two numbers in the middle let's find the average between them.
8+6=14
14/2= 7
Last, let's compare the two medians.
8>7
So when you add the number 1 the median decreases. So your answer is B decrease
It’s 18x because 36 and 54 are both divisible by 18, and 18 can be divisible by 18 (making 1), resulting in 18 being the most common number between the numbers, whereas the ‘x’ is common between all 3 numbers and since the least amount of x is 1, the answer is just x without an exponent
4(2x + 10)=0
8x + 40 = 0
8x = -40
x = -5
