Answer:
33.4933 ≈ 33.5 mm³
Step-by-step explanation:
Given that,
→ Radius (r) = 2 mm
Formula we use,
→ 4/3 πr³
Let's solve for the volume of sphere,
→ 4/3 πr³
→ 4/3 × 3.14 × 2 × 2 × 2
→ 4/3 × 3.14 × 8
→ 4/3 × 25.12
→ 100.48/3
→ 33.4933
→ [ ≈ 33.5 mm³ ]
Hence, volume of sphere is 33.5 mm³.
Answer:
First we need to put all the given information in a table, that way we'll express it better into inequalities.
Cost Production Max.
Console screen (x) $600 450
Wide-screen (y) $900 200
$360,000
We have:

Because they can't spend more than $360,000 in production.

Because the number of television is restricted.
The profit function is
(this is the function we need to maximize).
First, we need to draw each inequality. The image attached shows the region of solution, which has vertices (0,200), (300,200), (450, 100) and (450,0).
Now, we test each point in the profit function to see which one gives the highest profit.
For (300,200):

300 console screen and 200 wide screen give a profit of $77,500.
For (450,100):

450 console screen and 100 wide screen give a profit of $76,250.
<h3>
Therefore, to reach the maximum profits, TeeVee Electronic, Inc., must produce 300 console screen televisions and 200 wide-screen televisions to profit $77,500,</h3>
Answer:
The equation would be y = -1/2x + 5
Step-by-step explanation:
To find the equation, we first need to use the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (5 - 0)/(0 - 10)
m = 5/-10
m = -1/2
Now that we have that, we can use that and a point to find the full equation.
y - y1 = m(x - x1)
y - 0 = -1/2(x - 10)
y = -1/2x + 5
V=πr^2h
h=4.5
r=6
v=22\7 x 6 x 6 x 4.5
v=509.142857
v=509cubic unit
8/12 is the answer also known as 2/3.