As the question points out, the equation is indeed separable:
Integrate both sides to get
Answer:
45
Step-by-step explanation:
There were 72 kids meals sold which is represented by 8 parts of the ratio.
Divide by 8 to find the value of one part of the ratio
72 ÷ 8 = 9 ← value of 1 part of the ratio, thus
5 × 9 = 45 ← number of adult meals sold
-6 Log(x-3) = -24
divide both sides by -6
Log(x-3) = 4
rewrite as a power
3^4 = x - 3
81 = x - 3
81 + 3 = x
84 = x
Answer: Rate of change of Area of the triangle = 2.75cm~/min
Step-by-step explanation:
If the present height of the triangle is 22cm and the height increases by 5cm/min. It means the height was 2cm four minutes earlier: 5cm for 1st min + 5cm for 2nd min + 5cm for 3rd min + 5cm for 4th min = 20cm after 4min.
Therefore height equals 22 - 20 = 2cm four minutes earlier.
Using the same four minutes for the base. Since the base shrinks at 1cm/min, for the base to shrink to 10cm it means it was 14cm four minutes earlier.
The Area of a triangle is given by
A = 1/2 × base × height
Therefore Area= 1/2× 10×22 = 110cm~
Since it took four minutes to get to this area, the rate of change of the area will be 110÷4 = 2.75cm~/min
Answer: If you wanting to find the slope, the answer would be m = -10/3
Step-by-step explanation: Use the slope formula to find the slope m.
Hope this helps you out! ☺
