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)
For 2 6/8 it is 22/8 and for 3 4/8 it is 28/8 and if you subtract them it would be 6/8
hope this helps!
The delivery radius which will allow the pizza restaurant to deliver to approximately 20,000 people is 2. 5 miles
<h3>What is population density?</h3>
Population density can be defined as the number of individuals within a species in a specific geographic area.
The formula for population density is expressed as;
Population density = Number of people/Land area
Where;
- Number of people = 20000
- Population density = 1000
Land area = 20000/ 1000
Land area = 20 square miles
But ;
Area = πr²
Substitute the value of area in the formula
20 = 3. 142 × r²
r² = 20/ 3. 142
r² = 6. 37
r = √6. 37
r = 2. 5 miles
Thus, the delivery radius which will allow the pizza restaurant to deliver to approximately 20,000 people is 2. 5 miles
Learn more about population density here:
brainly.com/question/13902749
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A triangle is always 180 degrees so if we add 127+20 we’d get 147. 180-147 is 33 degrees. the missing angle is 33
The area of a parallelogram is simply calculated using
the formula:
A = b * h
Where,
b = length of the base = 45 ft
h = height which is perpendicular to the base = 21 ft
Using the formula, we calculate the total area of the yard.
A = b* h
A = 45 ft * 21 ft
A = 945 ft^2
Now we don’t want to sod the Garden area for the most
obvious reason. The garden has an Area of 105 ft^2, we subtract this to the
total area giving us,
Area to sod = 945 ft^2 – 105ft^2
<span>Area
to sod = 840 ft^2</span>