Exercise 1:
exponential decay:
The function is given by:
y = A (b) ^ ((1/3) * t)
Where,
A = 600
We look for b:
(480/600) * (100) = 80%
b = 0.8
Substituting:
y = 600 * (0.8) ^ ((1/3) * t)
We check for t = 6
y = 600 * (0.8) ^ ((1/3) * 6)
y = 384
Answer:
exponential decay:
y = 600 * (0.8) ^ ((1/3) * t)
Exercise 2:
linear:
The function is given by:
y = ax + b
Where,
a = -60 / 2 = -30
b = 400
Substituting we have:
y = -30 * x + 400
We check for x = 4
y = -30 * 4 + 400
y = 280
Answer:
linear:
y = -30 * x + 400
Exercise 3:
exponential growth:
The function is given by:
y = A (b) ^ ((1/3) * t)
Where,
A = 512
We look for b:
(768/512) * (100) = 150%
b = 1.5
Substituting:
y = 512 * (1.5) ^ ((1/2) * t)
We check for t = 4
y = 512 * (1.5) ^ ((1/2) * 4)
y = 1152
Answer:
exponential growth:
y = 512 * (1.5) ^ ((1/2) * t)
Geometric sequence is a sequence of numbers that have a common ratio between them.
All you need to do is 16 so she needs to work 16 hours to get $115.
Answer:
The segment GT is a median of triangle GFH
Step-by-step explanation:
we know that
A <u><em>median</em></u> of a triangle is a line segment joining a vertex to the midpoint of the opposite side.
The <u><em>angle bisector</em></u> of a triangle is a line segment that bisects one of the vertex angles of a triangle.
In this problem
SH represent a line segment that bisects the vertex angle H of triangle GFH, so represent an angle bisector.
GT represent a median of triangle GFH, because the point T is the midpoint of segment FH (FT=TH)
therefore
The segment GT is a median of triangle GFH
Answer:
obtuse and scalene
Step-by-step explanation:
at least one angle is larger than 90º, and so it's an obtuse angle.
scalene triangle means all sides of the triangle are different lengths.
