19. 60* - a straight line is 180* - the other side which is 120* (supplementary)
20. 132* - the angle below is the same as the other side of this angle, 180* - 48* (same side interior angles)
21. 48* - these are the same angle just in different placements (corresponding angles)
22. 70* - same angles just different placement (alternate interior angles)
23. 85* - these are vertical angles so they’re the same
24. 114* - same angle just different placement (alternate exterior angles)
Answer:
2xy - 6x +2y
Step-by-step explanation:
12xy - 10xy = 2xy
5y - 3y = 2y
2xy - 6x + 2y
Answer:
Step-by-step explanation:
Given
Required
Determine the formula
An exponential function is of the form:
For point
For point
Substitute 7 for a
Divide both sides by 7
Take 4th root of both sides
![\sqrt[4]{81} =\sqrt[4]{b^4}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B81%7D%20%3D%5Csqrt%5B4%5D%7Bb%5E4%7D)
![\sqrt[4]{81} =b](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B81%7D%20%3Db)
![b = \sqrt[4]{81}](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%5B4%5D%7B81%7D)
Substitute 7 for a and 3 for b in
Answer:
p(t) = 100%·2^(-t/1.32)
Step-by-step explanation:
The equation for exponential decay is ...
(remaining amount) = (initial amount)·2^(-t/(half-life))
Here, we can represent the percentage remaining by p(t) and the initial amount by 100%. Then, for a half-life of 1.32 minutes, the amount remaining is ...
p(t) = 100%·2^(-t/1.32) . . . . . where t is in minutes
_____
Alternate functional forms are possible, such as ...
p(t) = 100%·e^(-0.525112t)
p(t) = 100%·0.591489^t
