The volume of a sphere is calculated through the equation,
V = 4πr³ /3
where r is the radius of the given.
If the radius is 2.86, we can substitute the value to the equation above such that,
V = 4π(2.86)³ / 3 = 97.99π m³
When the radius is 0.09 m plus the given radius then,
V = 4π(2.86 - 0.09)³ / 3 = 89.03π m³
The difference between the volumes is equal to,
difference = 97.99π - 89.03π m³ = 8.96π m³
Dividing this to the original volume and multiplying by 100%,
percentage = (8.96π/97.99π) x 100%
percentage = 9.14%.
Hence, the expected percent uncertainty is equal to 9.14%.
Answer:
y=1/2x+6
Step-by-step explanation:
Change to slope intercept form: y=1/2x-2
Take out the b term
Plug in point (-8, 2)
Get b as 6
Plug in b
Get y=1/2x+6
The mathematical functions (equations) are matched to their graph line respectively as follows:
- y = 960 - 78x: purple straight line.
- y = 8·3^x: violet line curve that slopes to the left.
- y = 960·(1/2)^x: green line curve that slopes to the right.
<h3>What is a linear function?</h3>
A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate. Mathematically, a linear function is given by this equation:
y = mx ± c.
<h3>What is an exponential function?</h3>
An exponential function can be defined as a type of mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula:
f(x) = keˣ
Next, we would match each of the mathematical functions (equations) to their graph line respectively as follows:
- y = 960 - 78x: purple straight line.
- y = 8·3^x: violet line curve that slopes to the left.
- y = 960·(1/2)^x: green line curve that slopes to the right.
Read more on graphs here: brainly.com/question/24298987
#SPJ1
246/1000 or 123/500 hope this helps
Mark spent 11/12 of an hour doing both math and english homework
