Step-by-step explanation:

By cross multiplication,
→ 83(5) = 4x(7)
→ 415 = 28x
<h3>→ 415/28 = x</h3>
Answer:
x = 1.8
Step-by-step explanation:
2 ( 4x-3) - 8 = 4-2x
Distribute
8x -6 -8 = 4- 2x
Combine like terms
8x - 14 = 4 - 2x
Add 2x to each side
8x - 14 +2x = 4-2x+2x
10x-14 = 4
Add 14 to each side
10x-14+14 = 4+14
10x = 18
Divide by 10
10x/10 = 18/10
x = 1.8
Answer:
The rate of change of the volume of the cylinder at that instant = 
Step-by-step explanation:
Given:
Rate of increase of base of radius of base of cylinder = 7 mm/hr
Height of cylinder = 1.5 mm
Radius at a certain instant = 12 mm
To find rate of change of volume of cylinder at that instant.
Solution:
Let
represent radius of base of cylinder at any instant.
Rate of increase of base of radius of base of cylinder can be given as:

Volume of cylinder is given by:

Finding derivative of the Volume with respect to time.

Plugging in the values given:


Using 

(Answer)
Thus rate of change of the volume of the cylinder at that instant = 
Answer:
None of these
Step-by-step explanation:
math math math
Answer:
The time taken by Macro to cover 200 m at the speed of 45 meter per minute is 4.44 minutes
Step-by-step explanation:
Given as :
The speed at which Macro swim = s = 45 meter per minute
The total distance cover by Macro = d = 200 meter
Let The time taken by Macro to cover 200 m = t minutes
<u>Now, From formula </u>
Distance = Speed × time
Or, d = s × t
Or, t = 
Or, t = 
Or, t = 4.44 minutes
So, The time taken by Macro to cover 200 m = t = 4.44 minutes
Hence The time taken by Macro to cover 200 m at the speed of 45 meter per minute is 4.44 minutes . Answer