The answer is 50
.............
There are 16 cups in a gallon. If there are 414 gallons,
414 x 16 = 6,624
Then the pail can hold 6,624 cups of water! :)
Answer:
1/4(x - 2)(x + 1)(2x + 3).
Step-by-step explanation:
1/2(x^2 - 4)(x + 1) - 1/4(x - 2)(x + 1)
= 1/2 (x - 2)(x + 2)(x + 1) - 1/4(x - 2)(x + 1)
We can take out the common factor 1/4(x - 2)(x + 1):-
= 1/4(x - 2)(x + 1)( 2(x + 2) - 1)
= 1/4(x - 2)(x + 1)(2x + 3).
Suppose that the height of the tree is given by exponential growth. This is the given by the form:
y=abˣ
where:
a is the initial value
b is the growth factor
y is the current value
x is the number of years.
From the question:
a=36 in
b=1 1/4=1.25
y=44 3/4=44.75
plugging the values in the equation we get:
44.75=36(1.25ˣ)
solving for x we shall have:
179/144=1.25ˣ
introducing logs
ln(179/144)=x ln 1.25
hence
x=[ln(179/144)]/ln 1.25
x=0.975~ 1 year
Answer: the tree was planted 1 year ago
