Answer:
The answer is 3x² + 10x
Explanation:
d/dx (x³ + 5x² - 2)
= d/dx (x³) + 5 d/dx (x²) - d/dx (2)
= 3x² + 5(2x) - 0
= 3x² + 10x
Thus, The answer is 3x² + 10x
<u>-TheUnknownScientist</u>
Pressure = Force / Area
Put your data in front of yourself.
Force = 600 Newtons
Area = 300 cm^2
Firstly you need to convert the area into m^2 and you do this by diving 300 with 10000.
Now you use the formula:-
Pressure = 600/ 0.03
Which comes out to be 20,000 Pa.
Hope this helps!
Answer:
Plane's initial speed: 14
Plane's acceleration: -1
Explanation:
average velocity =
V0=?
Vf= 0 m/s (rest)
t=7 s
Isolating V0
V0=2a-Vf = 2*(7) - 0= 14
Otherwise;
Answer:
Explanation:
Let suppose that centrifuge is rotating at constant angular speed, which means that resultant acceleration is equal to radial acceleration at given radius, whose formula is:
Where:
- Angular speed, measured in radians per second.
- Radius of rotation, measured in meters.
The angular speed is first determined:
Where is the angular speed, measured in revolutions per minute.
If , the angular speed measured in radians per second is:
Now, if and , the resultant acceleration is then:
If gravitational acceleration is equal to 9.807 meters per square second, then the radial acceleration is equivalent to 1006.382 times the gravitational acceleration. That is:
<span>The amount of heat energy needed to increase the temperature of a substance by </span>
<span> is given by:
</span>
<span>
where m is the mass of the substance, Cs is its specific heat capacity and </span>
<span> is the increase in temperature of the substance.
In this problem, we have a certain mass m of gold, with specific heat capacity </span>
<span>, to which we add Q=2825 J of energy. Its temperature increases by </span>
<span>. Therefore, if we re-arrange the previous equation, we can find the mass of the block of gold:
</span>
<span>
So, the correct answer is B.</span>