Step-by-step explanation:
since we know, she can run 360 ft per minute, and we want to know how many minutes she would need to run 500 yards we need to find out how often 360 ft fit into 500 yards.
so,
500 yards / 360 ft
how can we make this division ?
help is given to us by taking us that 1 yard = 3 ft.
aha !
so, 500 yards = 500×3 ft = 1500 ft
therefore, our task now looks like
1500 ft / 360 ft
and this we understand and can do, right ?
1500 / 360 = 150/36 = 75/18 = 4 3/18 = 4 1/6 minutes
the closest answer option is therefore 4.2, meaning she would take about 4.2 minutes to run 500 yards.
Answer:
Yes , function is continuous in [0,2] and is differentiable (0,2) since polynomial function are continuous and differentiable
Step-by-step explanation:
We are given the Function
f(x) =
The two basic hypothesis of the mean valued theorem are
- The function should be continuous in [0,2]
- The function should be differentiable in (1,2)
upon checking the condition stated above on the given function
f(x) is continuous in the interval [0,2] as the functions is quadratic and we can conclude that from its graph
also the f(x) is differentiable in (0,2)
f'(x) = 6x - 2
Now the function satisfies both the conditions
so applying MVT
6x-2 = f(2) - f(0) / 2-0
6x-2 = 9 - 1 /2
6x-2 = 4
6x=6
x=1
so this is the tangent line for this given function.
Answer:
It is a solution
Step-by-step explanation:
8d+6= -8d-186
Add 8d to each side
8d+8d+6= -8d+8d-186
16d +6 = -186
Subtract 6 from each side
16d +6-6 = -186 -6
16d = -192
Divide each side by 16
16d/16 = -192/16
d = -12
Ik but learn its simple but there is multiple answers
Answer:50%
Step-by-step explanation: It doesn't matter how many questions there are because for each question, you have a 50% chance of getting it right. So, the probability is 50%.
