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Answer:
1/4 to the 3rd power is 0.015625
Step-by-step explanation:
Im assuming that is what your asking, you worded it a little differently. When you figure out what the value of something is based on the power it is raised to, you multiply that number by itself the amount of the exponent.
1/4 x 1/4 x 1/4 = 0.015625
Answer:
Step-by-step explanation:
We know that:
Remember:
450°=360°+60°
and:
Thus:
Then:
Answer: The required solution is 
Step-by-step explanation:
We are given to solve the following differential equation :
where k is a constant and the equation satisfies the conditions y(0) = 50, y(5) = 100.
From equation (i), we have
Integrating both sides, we get
![\int\dfrac{dy}{y}=\int kdt\\\\\Rightarrow \log y=kt+c~~~~~~[\textup{c is a constant of integration}]\\\\\Rightarrow y=e^{kt+c}\\\\\Rightarrow y=ae^{kt}~~~~[\textup{where }a=e^c\textup{ is another constant}]](https://tex.z-dn.net/?f=%5Cint%5Cdfrac%7Bdy%7D%7By%7D%3D%5Cint%20kdt%5C%5C%5C%5C%5CRightarrow%20%5Clog%20y%3Dkt%2Bc~~~~~~%5B%5Ctextup%7Bc%20is%20a%20constant%20of%20integration%7D%5D%5C%5C%5C%5C%5CRightarrow%20y%3De%5E%7Bkt%2Bc%7D%5C%5C%5C%5C%5CRightarrow%20y%3Dae%5E%7Bkt%7D~~~~%5B%5Ctextup%7Bwhere%20%7Da%3De%5Ec%5Ctextup%7B%20is%20another%20constant%7D%5D)
Also, the conditions are
and
Thus, the required solution is
Answer:
7.8. 10 ^ 3 m / s
Step-by-step explanation:
The computation of the average speed in m/s is shown below:
The average speed equation is
= ΔS ÷ Δt;
As We know that
an entire revolution would be40,000 km
and a satellite takes 85 minutes to complete a revolution,
So,
ΔS = 40,000 km = 40,000,000 m
Δt = 85 min = 5 100 s
Now the average speed is
= 40 000 000 ÷ 5 ÷ 5 100
= 7843.14 m / s
= 7.8. 10 ^ 3 m / s
