Step-by-step explanation:
a.
Let's give the starting amount of water as s. Every minute, 2 inches of water are lost, meaning that given the starting amount, s, we subtract 2 inches from s every minute, so s - 2 every minute = height of water left, so s - 2t (t representing minutes) = h
To figure out s, we simply plug our known value -- 9 minutes in and 11 inches left. s - 2(9) = 11, s-18=11, s= 29
29 - 2t = h
b. We know that we cannot have negative minutes, so the minimum amount of time that makes sense is 0. To figure out the maximum, we stop counting how much time has occurred when there is no water left, so we have to figure out when h = 0
29-2t = h = 0
t=14.5
Therefore, anything between 0 and 14.5 minutes makes sense
c. Anything between 0 and 29 makes sense because the height of water cannot be negative and we cannot get higher than the starting amount
The correct answer is the square root of 113.
To get the length of the missing side, you can use the pythagorean theorem. See attached pictures for reference. Pythagoran theorem states that the square of the hypotenues is equal to the sum of the squares of the other two sides of a right triangle.
1. set up and set values: 6(8)/2
2. multiply numerator: 48/2
3. divide: 24
Answer:
Dan will have $1,531.53 after 5 years.
Step-by-step explanation:
To find the answer, you can use the following formula to calculate the future value:
F= P(1 + r)^t
F= Future value
P= Present value= 1200
r= rate of interest= 5%
t= time= 5
F=1200(1+0.05)^5
A=1200(1.05)^5
A=1531.53
According to this, the answer is that Dan will have $1,531.53 after 5 years.
Answer:
The coordinates of the point P in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:
Step-by-step explanation:
Let P be the point.
As the point P is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6
i.e.
(x₁, y₁) = (-2,-8)
(x₂, y₂) = (5,-1)
Rise = y₂ - y₁ = -1 - (-8) = -1 + 8 = 7
Run = x₂ - x₁ = 5 - (-2) = 5 + 2 = 7
1 : 6 ratio means the point P lies at
Thus,
rise for P = 7 × 14% = 1
run for P = 7 × 14% = 1
Thus, coordinates of P will be:
x = -2 + 1 = -1
y = -8 + 1 = -7
Thus,
The coordinates of the point P in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be: