Answer:
To find the slope, we need to have co-ordinates of atleast 2 points lying on the line.
In this case, the 2 points are
(-3,1) and (2,-2)
To find the gradient we put in the following rule :
Rise / Run = (y2 - y1) / (x2-x1) = (-2-1) / (2+3) = -3 /5
Explanation:
Answer:
a) 147.95 Mpc
Explanation:
Using Hubble's formula

where;
v = radical velocity
= Hubble's constant
d = distance
Given that:
The average radial velocity of galaxies in the Hercules cluster v = 10,800 km/s
Also using
= 73 km/s/ Mpc ; we make distance d the subject of the formula:
Then distance d can be written as:


d = 147.95 Mpc
b)
Now, if the Hubble constant had a smaller value, then for a given velocity the distance to the galaxy will increase because distance d is inversely proportional to
i.e
d ∝ 
Answer:
The temperature after half an hour is 
Solution:
As per the question;
Metabolic rate of the person is 3.0105 J/h
Temperature, T = 
Mass of the water, 
Time duration, t = 0.5 h = 30 min = 180 s
Now,
Heat, 
Thus heat transfer in half an hour:

Now, the temperature of water after half an hour, T' is given by:

where
s = 4186 J


Answer:
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Explanation: