Answer: 28 in.
Step-by-step explanation:
its simple
Answer:
do it yourself
Step-by-step explanation:
Answer: 1. C, 2. B, 3. C, 4. C, 5. B, 6. B
Answer:
The cosine function is f(t) = -30sin(π÷3)t + 20
Step-by-step explanation:
Given : The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius. The temperature is at its lowest point when t = 0, and the reaction completes 1 cycle during a 6-hour period.
To find : What is a cosine function that models this reaction?
General form of cosine function is f(x) = A cos(Bx)+C
Where A is the amplitude
B=2π÷Period
C is the midline
Now, We have given
The temperature of a chemical reaction ranges between −10 degrees Celsius and 50 degrees Celsius.
A is the average of temperature,
i.e,
A=(-10-50)÷2 = -30
Period of 1 cycle is 6 hour
So,
B = 2π÷6 = π÷3
The temperature is at its lowest point when t = 0 and we know lowest point is -10
So,
f(t) = A cos t + C
-10 = -30 cos 0 + C
Therefore, C = 20
Substituting the values, we get
The cosine function is f(t) = -30sin(π÷3)t + 20
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Area of a rectangle is lxb
(4x-3) * (2x+6) = 500
{(4x * 2x) + (4x * 6)} + {( -3 * 2x) + (-3 * 6)} - multiplying the factors
{8x^2 + 24x} + {-6x + -18}
8x^2 + 24x -6x -18 - removing the brackets
8x^2 +15x -18
Hope you found the answer helpful
