Answer: The total discounted cost to groom two dogs amounts to 22.75
Step-by-step explanation:
A grooming service is offering a 20% discount for the first dog and 15% off each subsequent dog. Typically, a full grooming service for one dog costs $65.
If you choose to groom both of your dogs,
the discount for the first one would be
20/100 × 65 = 0.2 × 65 = 13
the second dog's discount would be
15/100 × 65 = 0.15 × 65 = 9.75
Thus, the total discounted price for grooming the two dogs would be
13 + 9.75 = 22.75
The hyperbolic cosine function (cosh) is defined as
cosh (x) = (e^x + e^-x) / 2
The tangent line's slope at any given point on a function is determined by the derivative of that function at that specific point.
d/dx [cosh(x)] = d/dx[(e^x + e^-x) / 2] = (e^x - e^-x) / 2 = sinh(x)
Assuming the slope equals 2, we have
sinh(x) = 2
thus,
x = sinh^-1 (2) = 1.444
Consequently, the curve of y = cosh(x) has a slope of 2 at the coordinate x = 1.44
Let’s clarify this: the basketball moves faster, indicating the tennis ball won’t be able to catch up. Therefore, we utilize the formula:
Vr=Vb-Vt
<span>=0.5-0.25=0.25
</span>Thus, the relative speed is <span>0.25m/s.
I hope this is helpful.</span>