Carlos and Maria drove a total of 197 miles In 3.8 hours. Carlos drove the first part of the trip and averaged 55 miles per hour
1 answer:
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Answer:
Step-by-step explanation:
you can use the equation point-slope of a line
(y-y1)= m(x-x1)
m is the slope =rise /run
to get from the lower point on the line to the other you rise 4 units and run -6 units so m= -4/6= -2/3
now that you have the slope pick you need one point
pick any poin on the line for example (-4, -1)
now you substitute into the point-slope equation point (-4,-1) and slope -2/3
(y+1)= -2/3(x+4)
in standard form will be
y=
y=
It takes 4.3 seconds for the rocket to return to earth.
The equation is:
where -9.8m/sec² is the acceleration due to gravity, v₀ is the initial velocity, and h₀ is the initial height. We will go from the assumption that the rocket is launched from the ground, so h₀=0, and we are told that the initial velocity, v₀, is 42. This gives us:
We will use the quadratic formula to solve this. The quadratic formula is:
Plugging in our information we have:
x=0 is when the rocket is launched; x=4.3 is when the rocket lands.
The equation is:
where -9.8m/sec² is the acceleration due to gravity, v₀ is the initial velocity, and h₀ is the initial height. We will go from the assumption that the rocket is launched from the ground, so h₀=0, and we are told that the initial velocity, v₀, is 42. This gives us:
We will use the quadratic formula to solve this. The quadratic formula is:
Plugging in our information we have:
x=0 is when the rocket is launched; x=4.3 is when the rocket lands.
Answer: 1.78 L are needed to complete the gallon and it will take 29.66 min to completely fill it
Step-by-step explanation:
The question in english is:
A gallon of water needs to be filled, in 2 liters it takes 30 minutes. How many liters do I need to complete the gallon and what is the time it takes me to fill it?
We know 1 gallon is equal to 3.78 liters:
In addition, we are told you have filled the gallon with at a rate of
.
So, if we want to know how many liters are left to completely fill the gallon, we have to sbstract the to the total amount of a gallon:
This is the amount you need to complete the gallon
On the other hand, the rate is defined as:
Isolating :
Then, if we input the we need to fill the gallon we will have the time:
This is the time you need to fill the gallon