The formula for exponential growth and decay is: In this function, a symbolizes the origin value, such as the starting population or the beginning dosage level. The variable b represents the growth or decay factor. If b > 1, the function signifies exponential growth.
Answer: The value of is .
Step-by-step explanation:
Given:
To find:
As we know it is composition function which means that g(x) function is in f(x) function.
So we have
Now substitute the value of g(x) we get
Hence, the value of is .
Given that,
A car uses a litre of petrol to travel 4 km.
To find,
How many litres will it use to travel 32 kilometres.
Solution,
We have,
1 litre = 4 km
or
1 km = (1/4) litre
Let it will use x litres to travel 32 km.
32 km = (32/4) litres
= 8 litres
Hence, 8 litres it will use to travel 32 km.
Answer: Option d.
Step-by-step explanation:
The trigonometric identity needed is:
Knowing that :
Substitute it into :
Simplify the expression:
Solve for . Apply square root at both sides of the expression:
Answer:
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Step-by-step explanation: