Answer:
See the verification below.
Step-by-step explanation:
Starting expression: 
Extract from the expression on the left of the equal sign the common factor "sin(x)":
![sin^3(x)+sin(x)\,cos^2(x)=sin(x)\\sin(x)[sin^2(x)+cos^2(x)]=sin(x)](https://tex.z-dn.net/?f=sin%5E3%28x%29%2Bsin%28x%29%5C%2Ccos%5E2%28x%29%3Dsin%28x%29%5C%5Csin%28x%29%5Bsin%5E2%28x%29%2Bcos%5E2%28x%29%5D%3Dsin%28x%29)
Now use the Pythagorean trigonometric identity:
to replace the expression in between square brackets with "1":
![sin(x)[sin^2(x)+cos^2(x)]=sin(x)\\sin(x) \,[1]=sin(x)\\sin(x)=sin(x)](https://tex.z-dn.net/?f=sin%28x%29%5Bsin%5E2%28x%29%2Bcos%5E2%28x%29%5D%3Dsin%28x%29%5C%5Csin%28x%29%20%5C%2C%5B1%5D%3Dsin%28x%29%5C%5Csin%28x%29%3Dsin%28x%29)
Therefore we have verified the identity
The first one A 7/2
You can just round up 6.75 -> 7 and 1.67->2
Answer:
x = 11
Step-by-step explanation:
So the equation is 25x = 275. In order for us to find out what x is we need to get rid of 25 that is next to x, so we are going to have to divide 25x by 25. What you do to one side you do to the other so the equation will look like this:
25x/ 25 = 275/ 25
25x/25 = x
275/25 = 11
so x = 11
Answer:
20 ounces
Step-by-step explanation:
The line plot is attached below.
From the line plot, we can see that there is a total of 7 snack mix. Two of the snack mix weigh 1 and half (1.5) ounces each, one snack measure 2 and three quarter (2.75) ounce, three snack mix measure three and half (3.5) ounce each and one snack measure 3 and three quarter (3.75) ounce. Therefore the total weight of the snack mix is:
Total weight = (2 * 1.5) + (1 * 2.75) + (3 * 3.5) + (1 * 3.75)
Total weight = 20 ounces
Answer:
A
Step-by-step explanation:
+7 means go up
if the graph was 7x, the graph enlarges by a factor of 7