Density = mass/volume
Mass/density = volume
100g/19.3 g/cm^3 = 5.18 cm3
Y = a * b^x
18 = a * b²
60.75 = a * b^5
60.75 = a * b² * b³
60.75 = 18 b³
b³ = 60.75 : 18
b³ = 3.375
b = ∛ 3.375
b = 1.5
18 = a * 1.5²
18 = a * 2.25
a = 18 : 2.25
a = 8
Answer:
y = 8 * 1.5^x
[EDIT: Replaced x by * since x doesn't look well in typefaced math]
Given 
, and
, then:
<h3> Computations on trigonometric identities</h3>
From the details provided:
From the relationship above:
Opposite = 1
Adjacent = 
Hypotenuse = 5
Learn more on trigonometry here: brainly.com/question/20519838
It is given that the diameter of the sphere increases <span>at the rate of 3 inches more than the time, t.
This means that:
at a certain time = t seconds
the diameter of the sphere will be equal to t + 3
Based on this:
at t = 3 seconds
diameter of the sphere = t + 3 = 3 + 3 = 6 inches = </span><span>0.1524 meters
and radius of sphere = 0.5 x </span><span>0.1524 = 0.0762 meters
Volume of the sphere can be calculated using the following rule:
volume of sphere = (4/3) x pi x (radius)^3
Substituting in this equation, we can get the volume of the sphere at t = 3 seconds as follows:
volume at t=3 seconds = (4/3) x 3.14 x (</span>0.0762)^3 = 1.8533 x 10^-3 m^3
