9514 1404 393
Answer:
(x, y) = (3, 0)
Step-by-step explanation:
The solution space is above the line y = -x+2 in the right half-plane where x > 0. One possible solution is (x, y) = (3, 0).
Answer:
Step-by-step explanation:
6x + ( 14x - 5 ) + ( 17 - 3x )
= 17x + 12
- ( 2 - x ) -3 ( 6 + 8x ) -12,
= -23x - 32
( 4x - 9 ) + 8 ( 2x + 3 ) -7x
= 13x +15
Answer:
Step-by-step explanation:
Given
Shape: Opening of a circular vase
Required
Determine the area
This opening implies a circle; hence the area will be calculated using area of a circle.
Solve for radius (r)
Substitute 6.75 for r in
--- Approximated
Answer:
336
Step-by-step explanation:
Required Formulas:-
1. Number of ways to select x things out of n things = ⁿCₓ
2. Number of ways to arrange n things when a things and b things are similar = n!/(a!*b!)
Since we have to choose 8 colors and we are having 3 different colors, it is only possible when we select 2 different colors (e.g. 5 red and 3 blue). To find all possible ways we will have to find all unique arrangements of selected color.
Using formula (1), number of ways to select 2 colors out of given 3 colors = ³C₂ = 3
Using formula (2), finding all unique arrangements when 5 stripes are of one color and 3 stripes are of second color = 8!/(3!*5!) = 56
Suppose, we can choose 5 stripes from red color and 3 stripes from blue color or 5 strips from blue color and 3 strips from red color. So there are 2 possibilities of arranging every 2 colors we choose .
∴ Answer=3*56*2 = 336
The position of the ball when it is at its highest point is 121
<h3>Polynomial function</h3>
Given the polynomial function expressed as y = -1/250(x - 175)^2 + 121,
The velocity of the ball at the maximum point is zero. Hence;
dy/dx = -1/125(x-175)
Equating to zero;
0 = -1/125(x - 175)
x = 175
Substitute into the function to get the maximum height
y = -1/250(175 - 175)^2 + 121,
y = 121
Hence the position of the ball when it is at its highest point is 121
Learn more on polynomial function here: brainly.com/question/2833285
