Answer:
The value of rate of decrease of volume = - 3600 
Step-by-step explanation:
According to Boyle's law P V = C ------- (1)
Pressure ( P ) = 100 k pa = 10 
Volume ( V ) = 900 
Put these values in equation ( 1 ) we get,
⇒ C = 10 × 900 = 9000 N-cm = 90 N-m
Differentiate Equation ( 1 ) with respect to time we get,
⇒ V 
+ P 
= 0
⇒ V = - P
⇒ = - 
---------- (2)
This equation gives the rate of decrease of volume.
Given that Rate of increase of pressure = = 40
C = 90 N-m
P = 
pa = 10
V = 900
Put all the above values in equation 2 we get,
⇒ = - 
× 40
⇒ = - 3600
This is the value of rate of decrease of volume.
Answer:
The vertex is (-1, 4)
Not sure what the table looks like, but just plug the x values into the equation to get a complete point
Graph the points on a graph
Step-by-step explanation:
The coordinates to the second spot can be represented by the coordinates
(-12 + 3, 8 -11)
Since we are going 3 yards to the east we would be affecting the x-axis and since we are going east we will need to add 3 yards the x axis of the first spot
11 yards south would be affecting the y- axis negatively. We would need to subtract 11 from the y- axis of the first spot.
the coordinates of the second spot would be
-12 +3 = -9
8 -11 = -3
(-9, -3)
Answer:
27.5
Step-by-step explanation:
1.5(5)+20=27.5
:) hope its right :)
Answer:
13.76
Step-by-step explanation:
Area of the whole
The area of the whole = s^2 (the firgure is a square
s = 8
Area of the whole = 8^2 = 64
Area of the unshaded part
The 2 half circles = 1 whole circle
The radius of the 1/2 circle = 4 (eight has been cut in half)
Area of two half circles = 2* (pi r^2/2)
Area of two half circles = 2 * (pi 4^2/2)
area of two half circles = 16*pi
Area of the shaded area
Area of the shaded area = area of the whole - area of the unshaded area
Area of the shaded area = 64 - 16*pi
Area of the shaded area = 64 - 3.14*16 = 13.76
