The first one is the answer because he starts with $300 (which would be the b in this case) and he gets $5 for EACH customer (so that would be 5x)
Answer:
Person A paints the house in 12 days.
person B paints the house in 60 days.
Step-by-step explanation:
The together rate is the sum of each separate rate.
Person A can paint the neighbor's house 5 times as fast as Person B.
This means that the rate of person A is 1/x, and the rate of person B is 1/5x.
The year A and B worked together, it took them 10 days.
This means that:

Multiplying everything by 10x


This means that:
Person A paints the house in 12 days.
person B paints the house in 60 days.
Answer:
h(2)+g(2) = -3
Step-by-step explanation:

Replace the variable (t) with (
2) in the expression.
h (2) = 3 - 5
Replace the variable (t) with (
2) in the expression.
g(2) = 2(2) -5
Replace the function designators in h(2) +g(2) with the actual functions.
h(t) = 3 - 5 +2 (2) ← plug h(2) into 2(t)
Remove parentheses.
3 - 5 + 2(2)
Multiply 2 by 2
3 - 5 + 4 - 5
Subtract 5 from 3
.
-2 + 4 - 5
Add -2 and 4
2 - 5
Subtract 5 from 2
-3
Answer: After about 9.03 hours the temperature first reach 82 degrees.
Step-by-step explanation:
The sinusoidal function is given by :
![y=A\sin[\omega(x-\alpha)]+C](https://tex.z-dn.net/?f=y%3DA%5Csin%5B%5Comega%28x-%5Calpha%29%5D%2BC)
where, A = amplitude;
, α= phase shift on the Y-axis and C = midline.
As per given,
Average daily temperature=
[midline is average of upper and lower limit.]
A= 97-85 = 12
Phase shift:
Period = 24 hours;

Substitute all values in sinusoidal function, we get
![y=12\sin[\dfrac{\pi}{12}(x-10)]+85](https://tex.z-dn.net/?f=y%3D12%5Csin%5B%5Cdfrac%7B%5Cpi%7D%7B12%7D%28x-10%29%5D%2B85)
Put y= 82, we get
![82=12\sin[\dfrac{\pi}{12}(x-10)]+85\\\\\Rightarrow\ -3= 12\sin[\dfrac{\pi}{12}(x-10)]\\\\=\dfrac{-1}{4}= \sin[\dfrac{\pi}{12}(x-10)]\\\\\Rightarrow\ \dfrac{\pi}{12}(x-10)=\sin^{-1}(\dfrac{-1}{4})\\\\\Rightarrow\ x-10=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))\\\\\Rightarrow\ x=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))+10\\\Rightarrow\ x\approx9.03](https://tex.z-dn.net/?f=82%3D12%5Csin%5B%5Cdfrac%7B%5Cpi%7D%7B12%7D%28x-10%29%5D%2B85%5C%5C%5C%5C%5CRightarrow%5C%20-3%3D%2012%5Csin%5B%5Cdfrac%7B%5Cpi%7D%7B12%7D%28x-10%29%5D%5C%5C%5C%5C%3D%5Cdfrac%7B-1%7D%7B4%7D%3D%20%5Csin%5B%5Cdfrac%7B%5Cpi%7D%7B12%7D%28x-10%29%5D%5C%5C%5C%5C%5CRightarrow%5C%20%5Cdfrac%7B%5Cpi%7D%7B12%7D%28x-10%29%3D%5Csin%5E%7B-1%7D%28%5Cdfrac%7B-1%7D%7B4%7D%29%5C%5C%5C%5C%5CRightarrow%5C%20x-10%3D%5Cdfrac%7B12%7D%7B%5Cpi%7D%28%5Csin%5E%7B-1%7D%28%5Cdfrac%7B-1%7D%7B4%7D%29%29%5C%5C%5C%5C%5CRightarrow%5C%20x%3D%5Cdfrac%7B12%7D%7B%5Cpi%7D%28%5Csin%5E%7B-1%7D%28%5Cdfrac%7B-1%7D%7B4%7D%29%29%2B10%5C%5C%5CRightarrow%5C%20x%5Capprox9.03)
Hence, After about 9.03 hours the temperature first reach 82 degrees.
The answer is 7/4 I added my work there sorry if it’s kinda messy