Answer: f(x) = 1.5*sin(x*2*pi/0.0038s)
Step-by-step explanation:
A sine function is:
f(x) = A*sin(c*x + f)
Where A is the amplitude, we know that it is 1.5
c is a constant that depends on the frequency.
f is a phase.
As there is no mention of a phase, we can assume f = 0.
Then our function is:
f(x) = 1.5*sin(c*x)
now let's find the value of c.
We know that the frequency is 262hz.
Then the period can be calculated with the equation:
T = 1/f.
T = 1/262 Hz = 0.0038 seconds.
Now, the period of a sin function is 2*pi.
whit pi = 3.14159265358979.....
Then we have that:
sin(0) = sin(c*0.0038s)
sin(0) = sin(2*pi)
then:
c*0.0038s = 2*pi
c = 2*pi/0.0038s
Then the function is:
f(x) = 1.5*sin(x* 2*pi/0.0038s)
Answer:
Graph C.
Step-by-step explanation:
If you calculate f for x=0, you get f(0)=3*1=3. This rules out answer A already.
Next, you can expect the graph to approach y=0 for large x. The larger the x, the more times you're multiplying by 0.5. Graph C is the only one that does that. So even without actually graphing it, you know that C is the one.
You would need to cut it directly at the following red line
27 because out of 20 cards 9 are baseball. 20 is 1/3 of 60. 9x3=27
Answer:
D) {11,-4,-29}
Step-by-step explanation:
rewrite the equation as y= -5x+1 and plug in -2,1 and 6 to get y
-5*-2+1=11
-5*1+1=-4
-5*6+1=-29
