A baby carriage that is carrying twins is sitting at the top of a knoll that is 21 m high. The carriage with the babies are 48kg. What is the Potential Energy of the twins and the carriage?

The Potential Energy of the twins and the carriage is 9878.4 J.

Step-by-step explanation:

Given;

height of the knoll above the ground level, h = 21 m

mass of the carriage with the babies, m = 48 kg

The potential Energy of the twins and the carriage is given by;

P.E = mgh

where;

g is the acceleration due to gravity = 9.8 m/s²

Substitute the givens;

P.E = (48)(9.8)(21)

P.E = 9878.4 J

Therefore, the Potential Energy of the twins and the carriage is 9878.4 J.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: