Let's turn these into decimals.
so, 10.
0.75
0.50=1/2
0.40
0.20=1/5
In order from least to greatest, these would be:
0.2, 0.4, 0.5, 0.75, 10
Answer:
49m/s
59.07 m/s
Step-by-step explanation:
Given that :
Distance (s) = 178 m
Acceleration due to gravity (a) = g(downward) = 9.8m/s²
Velocity (V) after 5 seconds ;
The initial velocity (u) = 0
Using the relation :
v = u + at
Where ; t = Time = 5 seconds ; a = 9.8m/s²
v = 0 + 9.8(5)
v = 0 + 49
V = 49 m/s
Hence, velocity after 5 seconds = 49m/s
b) How fast is the ball traveling when it hits the ground?
V² = u² + 2as
Where s = height = 178m
V² = 0 + 2(9.8)(178)
V² = 0 + 3488.8
V² = 3488.8
V = √3488.8
V = 59.07 m/s
Answer:
Slope is 5/3
y-intercept = -3
y = 5/3x - 3
Step-by-step explanation:
To find the slope, take to coordinates and use the equation below
7-2 = 5
6-3= 3
Now you have your slope which is 5/3
Then take the slope and input it into point slope form to get your y-intercept.
y-y₁=m(x-x₁)
y-2 = 5/3(x-3)
y-2=5/3x-5
add two to both sides to get Y by itself
y = 5/3x - 3
now you have your y-intercept, which is -3
Then check your answer by inputing two different coordinates for X and Y
7 = 5/3(6)-3
7=7
12= 5/3(9)-3
12=12
301
We could start by finding the lowest common multiple of 2, 3, 4, 5, and 6, which is 60. Then, we can consider the next few multiples: 120, 180, 240, 300...
However, because we need a remainder of 1 when our number is divided by each of these numbers (2,3,4,5,6), we want to go one above each of these multiples. So we're talking about 61, 121, 181, 241, 301... Those are the numbers that will satisfy the "remainder of 1" part of the question.
Now, we need to find out which one satisfies the other part of the question, which just requires dividing each of these numbers by 7 to see which is divisible by 7 (in other words, which one gives us a remainder of zero when we divide by 7).
301 does it. 301/7 = 43. So 301 is a multiple of 7 and therefore will yield no remainder when divided by 7.
Hope this all makes sense.
