The hyperbolic cos (cosh) is given by
cosh (x) = (e^x + e^-x) / 2
The slope of a tangent line to a function at a point is given by the derivative of that function at that point.
d/dx [cosh(x)] = d/dx[(e^x + e^-x) / 2] = (e^x - e^-x) / 2 = sinh(x)
Given that the slope is 2, thus
sinh(x) = 2
x = sinh^-1 (2) = 1.444
Therefore, the curve of y = cosh(x) has a slope of 2 at point x = 1.44
the highest score is obviously going to be 2125 because that is 100%
Actually, the correct volume formula is:
Sphere Volume = <span> 4/3 • <span>π <span>• r³
</span></span></span>Sphere Volume = <span> (4/3) * PI * (1.25)^3
</span>Sphere Volume = (4/3) * PI *
<span>
<span>
<span>
1.953125
</span>
</span>
</span>
Sphere Volume =
<span>
<span>
<span>
8.1812308687
</span>
</span>
</span>
cubic inches
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❖ A number y increased by 5 is at least -21.
❖ First, if you come across the word "increased" it means we
"increase" a number, or add something to that number, like
y increased by 5 
Now, we are also given that this expression is at least -21, which means it can't be -21; it can be -21 or it can be greater than -21.
So we have
<em>Solving for y</em>
<em></em>
- Subtract 5 on both sides:-
So the values of y greater than or equal to -26 will make this inequality true.
<h3>Good luck with your studies.</h3>
This is exponential decay of the form:
f=ir^t, f=final value, i=initial value, r=rate, t=time in this case:
V(t)=408000((100-18)/100)^t
V(t)=408000(0.82)^t so
Vo=408000 and b=0.82
....
V(8)=408000(0.82)^8
V(8)=$83400.95 to nearest cent
