Given:
Eighteen 2.5 gallon buckets are needed to fill a cistern with water.
To find:
The constant of variation.
Solution:
If y is directly proportional to x, then


Where, k is constant of variation.
In the given problem, water in cistern (w) is directly proportional to number of buckets (n).

(Capacity of each bucket is 2.5 gallons)
Therefore, the constant of variation is 2.5.
Answer:
The answer is below
Step-by-step explanation:
AD = X + 8 ∠D = 2y +13 ∠C = 16 - x CB = 5y+4
In a parallelogram, consecutive angles are supplementary and opposite sides are equal.
Therefore for parallelogram ABCD, AB = CD, CB = AD
Since AD = CB (opposite sides of a parallelogram are equal):
x + 8 = 5y + 4
5y - x = 8 - 4
5y - x = 4 (1)
∠C + ∠D= 180° (consecutive angles of a parallelogram are supplementary). Therefore:
16 - x + 2y + 13 = 180
2y - x + 29 = 180
2y - x = 180 -29
2y - x = 151 (2)
To find x and y, subtract equation 1 from equation 2:
3y = -147
y = -49
Put y = -49 in equation 2
2(-49) - x = 151
x = -98 - 151
x = -249
Answer:

Step-by-step explanation:

2^0 is 1 also m^0 is 1
2^2= 4, 2^3= 8 , 2^4= 16


Answer:
The maximum height is 191.063 ft
Step-by-step explanation:
We can easily solve this question by plotting the graph of the equation below
h(t)=-16t^2+Vt+h
Where
h = initial height = 2ft
V = initial speed = 110 ft/s
t = time in seconds
Please, see attached image below
The maximum height corresponds to
191.063 ft
Answer:
1021
Step-by-step explanation:
delta math said it was right