Answer:
<h2>hope it helps.</h2><h2>stay safe healthy and happy.</h2>
The general form for a sine function is: y = a sin(b[x + c]) + d
The amplitude is given by a, so a = 1.
The period is given by 2*pi/b, so 2*pi/b = pi/2, and b = 4.
The variable c gives the horizontal shift, of which there is none, so c = 0.
Finally, the vertical shift of 3 units means that d = 3.
So the equation is:
y = sin(4x) + 3
The length of pathway is 10 inches on map.
Step-by-step explanation:
Given,
Total distance = 350 miles
According to map,
1 inch = 35 miles
Let, x be the number of inches on map.
Therefore, using proportion;
Inch : mile :: inch : mile

Product of mean = Product of extreme

Dividing both sides by 35;

The length of pathway is 10 inches on map.
Keywords: Ratio, proportion
Learn more about proportions at:
#LearnwithBrainly
Answer:
It would take Tom 8 hours alone
Step-by-step explanation:
We are looking at this basic equation:
Tom + Shirley = 8 hours
Tom takes x hours to cut the grass; this means that 1/x of the job gets done in 1 hour
It takes Shirley 3 times as long as Tom, so it takes her 3x hours to cut the grass; this means that 1/3x of the job gets done in 1 hour
If the total number of hours it takes them to do the job is 6 hours; this means that 1/6 of the job gets done in 1 hour
Looking back at the original basic equation, we will fill in our info:

We can solve for x by first finding the LCD and eliminating the denominators. The LCD is 6x, since all the denominators go into 6x evenly.
We will multiply the rational equation through by the LCD:
![6x[\frac{1}{x}+\frac{1}{3x}=\frac{1}{6}]](https://tex.z-dn.net/?f=6x%5B%5Cfrac%7B1%7D%7Bx%7D%2B%5Cfrac%7B1%7D%7B3x%7D%3D%5Cfrac%7B1%7D%7B6%7D%5D)
Dividing each denominator into the LCD gives us:
6 + 2 = x so
x = 8
This means that it takes Tom 8 hours to do the job alone. It would take Shirley 24 hours alone. Ugh.
Answer:
9.00$
Step-by-step explanation:
6 divided by 2 = 3 so each pakage cost 3$ so it would be 9.00$