what is the amplitude of the sinusoid given by y = -5 sin(7x)?

Explanation:

Step1: Recall amplitude formula

For a sinusoidal function of the form $y = A\sin(Bx)$, the amplitude is given by $|A|$.

Step2: Identify A value

In the function $y=- 5\sin(7x)$, $A=-5$.

Step3: Calculate amplitude

The amplitude is $| - 5|=5$.

Answer:

5