Answer:
There is no value of x to fit this requirement.
Step-by-step explanation:
The 2 perimeters in terms of x are:
4(x + 3) for the square and
2(x+1) + 2(x +4) for the rectangle
and these need to be equal so
we equate these 2 and solve for x:
4(x + 3) = 2(x+1) + 2(x +4)
4x + 12 = 2x + 2 + 2x + 8
4x + 12 = 4x + 10
4x - 4x = 10 - 12
0 = -2 which is of course absurd so there is no solution to this equation.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. I will assume the function is:
![f(t) = 15(0.86)^t](https://tex.z-dn.net/?f=f%28t%29%20%3D%2015%280.86%29%5Et)
Required
Determine the rate of decay
In an exponential function
,
The decay rate of the function is calculated as:
![1 - r = b](https://tex.z-dn.net/?f=1%20-%20r%20%3D%20b)
By comparison:
![b = 0.86](https://tex.z-dn.net/?f=b%20%3D%200.86)
So, the equation becomes:
![1 - r = 0.86](https://tex.z-dn.net/?f=1%20-%20r%20%3D%200.86)
Make r the subject
![r = 1 - 0.86](https://tex.z-dn.net/?f=r%20%3D%201%20-%200.86)
![r = 0.14](https://tex.z-dn.net/?f=r%20%3D%200.14)
<em>The rate of decay is 0.14</em>
Answer:
Step-by-step explanation:
21-26. a = v - u / t
=> a = 47 - 19 / 5
=> a = 28 / 5
=> a = 5.6 m/s²
27-32. avg. speed = distance / time
=> 40 m / 10 s
=> 4 m/s
33-38. velocity = distance / time
=> v = 150 / 40
=> v = 15 / 4
=> v = 3.75 m/s
17+3=20
740/20=37 Classes
37 classes x 3 faculty members=111
Answer:
22/35
Step-by-step explanation:
-12/14=-6/7
-6/7*-11/15=66/105=22/35