How many 1/2 cup servings are in 3/4cups of yogurt? (in simplest fraction form)
1 answer:
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Answer:
<h2>There are 5040 different possible sequences.</h2>Step-by-step explanation:
Three identical notches and four identical bends are required in the sheet metal operation.
In total 7 things are required in the metal operation.
We can think it as we need to put the 3 notches and 4 bends in 7 places.
First, lets put the 3 notches in 3 places.
In order to do so, we need to choose 3 places from the 7 places.
We can choose 3 places in ways.
The 3 notches can be arrange in 3! = 6 ways.
The 4 bends can arrange in 4! = 24 ways.
Thus, in total different possible sequences.
Answer:
80 feet
Step-by-step explanation:
Given:
Initial speed of the car () = 40 ft/sec
Deceleration of the car () = -10 ft/sec²
Final speed of the car () = 0 ft/sec
Let the distance traveled by the car be 'x' at any time 't'. Let 'v' be the velocity at any time 't'.
Now, deceleration means rate of decrease of velocity.
So,
Negative sign means the velocity is decreasing with time.
Now, using chain rule of differentiation. Therefore,
Integrating both sides under the limit 40 to 0 for 'v' and 0 to 'x' for 'x'. This gives,
Therefore, the car travels a distance of 80 feet before stopping.