Answer:
Rate of current is 3 miles per hour and speed of the boat in still water is 7 miles per hour.
Step-by-step explanation:
This question is incomplete; find the complete question here.
A boat travels 20 miles upstream in 5 hours. Going downstream, it can travel 50 miles in the same amount of time. Find the speed of the current and the speed of the boat in still water.
Let the speed boat in the still water = x miles per hour
and the speed (rate) of the current = y miles per hour
Speed of the boat to go upstream (against the current) will be = (x - y)miles per hour
Since boat takes 5 hours downstream to travel 50 miles then from the formula,


(x + y) = 10 -------(1)
Boat takes 5 hours to travel 50 miles upstream then,

5 = 
x - y = 4 -----(2)
By adding equation (1) and question (2)
(x + y) + (x - y) = 14
2x = 14
x = 7 miles per hour
From equation (1),
7 + y = 10
y = 3 miles per hour
Therefore, Rate of current is 3 miles per hour and speed of the boat in still water is 7 miles per hour.
Answer:
.
Step-by-step explanation:
Let the
-coordinate of
be
. For
to be on the graph of the function
, the
-coordinate of
would need to be
. Therefore, the coordinate of
would be
.
The Euclidean Distance between
and
is:
.
The goal is to find the a
that minimizes this distance. However,
is non-negative for all real
. Hence, the
that minimizes the square of this expression,
, would also minimize
.
Differentiate
with respect to
:
.
.
Set the first derivative,
, to
and solve for
:
.
.
Notice that the second derivative is greater than
for this
. Hence,
would indeed minimize
. This
value would also minimize
, the distance between
and
.
Therefore, the point
would be closest to
when the
-coordinate of
is
.
Answer:
Step-by-step explanation:
she need 18 tablespoons of plant food for 6 gallons of water:)
Answer:
x = 12
Step-by-step explanation:
what you have to do is cross multiply::
3x = 36
and then single the x out
x = 12
Answer:
50
Step-by-step explanation:
the numbers are decreasing by 3 and 3 times 34 is 102
152- 102= 50
lmk if im wrong so i can fix it
EDIT: Its wrong dont use that answer lol