Answer:
Step-by-step explanation:
The initial height of a Japanese maple sapling is 14 inches.
The tree is expected to grow 2.5 inches each month. This increase in height is linear, thus it is in arithmetic progression.
The expression for arithmetic progression is
Tn = a + (n-1)d
Where a = the first term of the series
d = common difference
Tn is the nth term of the series
n = the number of terms.
From the information given
a = 14 inches because it is the initial height of the tree
d = 2.5 because it is the difference in height between 2 consecutive months
n = m( number of months)
Tn = f(m)
function models the relationship between the height of the tree f(m) and the number of m months of growth will be
f(m) = 14 + 2.5(m-1)
Answer:
A. The rate is -2 each hour
B. It is decreasing, as the hours increase, the gallons decrease
1 kilometers =1000 meters
0.86km=0.86*1000=860m
John swam 860 meters each day.
1 week = 7 days
3weeks=3*7=21
21*860=18060 m
Therefore he swam 18060 meters in those three weeks.
Answer:
-29/20
Step-by-step explanation:
The cosecant function is the inverse of the sine function. Both sine and cosecant are odd functions, meaning csc(-x) = -csc(x) = -1/sin(x).
csc(-θ) = -1/sin(θ) = -1/(20/29) = -29/20
Answer:
d= -5/3
Step-by-step explanation:
d + 4/3 = -1/3
d= -4/3 -1/3
d= -5/3
