Answer:
The new volume is 1/343 of the old volume or the ratio of the new volume to the old volume is 1 to 343
Step-by-step explanation:
In this question, we are asked to state the effect of multiplying the radius of a sphere by 1/7 on the volume.
Mathematically, the volume of a sphere V can be calculated using the formula
V = 4/3 * π * r^3
Now multiplying the radius by 1/7, the new radius will be r/7
Thus the new volume here will be
V2 = 4/3 * π * (r/7)^3
V2 = 4/3 * π * (r^3)/343
Thus we can conclude that the value of the volume will be decreased by a factor of 343
Meaning the ratio of the old volume to the new volume will be 1 to 343
Answer:
There is no solution to the systems of equation.
Step-by-step explanation:
Graph the system by using y=mx+b
Both systems are y=2/5x+5/2.
You can multiply the numerators and the denominators.
Ex: 1/2 x 1/2 = 1/4
2/4 x 5/6 = 10/24
30/20 x 20/10 = 600/200
![\bf \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}y-(-4)=\cfrac{3}{2}[x-(-4)] \\\\\\ y+4=\cfrac{3}{2}(x+4)\implies y+4=\cfrac{3}{2}x+6\implies y=\stackrel{slope}{\cfrac{3}{2}}x\stackrel{y-intercept}{+2}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Bpoint-slope%20form%7D%7D%7By-%20y_1%3D%20m%28x-%20x_1%29%7Dy-%28-4%29%3D%5Ccfrac%7B3%7D%7B2%7D%5Bx-%28-4%29%5D%0A%5C%5C%5C%5C%5C%5C%0Ay%2B4%3D%5Ccfrac%7B3%7D%7B2%7D%28x%2B4%29%5Cimplies%20y%2B4%3D%5Ccfrac%7B3%7D%7B2%7Dx%2B6%5Cimplies%20y%3D%5Cstackrel%7Bslope%7D%7B%5Ccfrac%7B3%7D%7B2%7D%7Dx%5Cstackrel%7By-intercept%7D%7B%2B2%7D)
notice the slope-intercept form, that's the y-coordinate.
In mathematics, function<span> composition is the pointwise application of one </span>function<span> to the result of another to produce a third </span>function<span>. ... Intuitively, </span>composing two functions<span> is a chaining process in which the output of the inner </span>function<span> becomes the input of the outer </span>function<span>.</span>
