The mean goals scored by the soccer players this season is 18.3 goals
<h3>What is mean? </h3>
Mean is the ratio of the sum of data to the total sample of data.
If three soccer players are scored 25 goals this season., five soccer players scored 19 goals this season and ten soccer players scored 16 goals this season, the mean goal scored is expressed as:
Mean goal scored = 3(25)+5(19)+10(16)/3+5+10
Mean goal scored = 75 + 95+160/18
Mean goal scored = 330/18
- Mean goal scored = 18.3 goals
Hence the mean goals scored by the soccer players this season is 18.3 goals
Learn more on mean here: brainly.com/question/20118982
Answer: ![16.56\ ft](https://tex.z-dn.net/?f=16.56%5C%20ft)
Step-by-step explanation:
You must draw a right triangle as the one attached, where "x" is the lenght in feet of the ramp.
You need to use the following Trigonometric Identity:
![sin\alpha=\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=sin%5Calpha%3D%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
In this case you can identify that:
![\alpha =25\°\\\\opposite=7\\\\hypotenuse=x](https://tex.z-dn.net/?f=%5Calpha%20%3D25%5C%C2%B0%5C%5C%5C%5Copposite%3D7%5C%5C%5C%5Chypotenuse%3Dx)
Now you must substitute these values into
:
![sin(25\°)=\frac{7}{x}](https://tex.z-dn.net/?f=sin%2825%5C%C2%B0%29%3D%5Cfrac%7B7%7D%7Bx%7D)
Finally, you must solve for "x" in order to find its value.
This is:
![sin(25\°)=\frac{7}{x}\\\\xsin(25\°)=7\\\\x=\frac{7}{sin(25\°)}\\\\x=16.56](https://tex.z-dn.net/?f=sin%2825%5C%C2%B0%29%3D%5Cfrac%7B7%7D%7Bx%7D%5C%5C%5C%5Cxsin%2825%5C%C2%B0%29%3D7%5C%5C%5C%5Cx%3D%5Cfrac%7B7%7D%7Bsin%2825%5C%C2%B0%29%7D%5C%5C%5C%5Cx%3D16.56)
<span>6 - 3(4 - 3x)
= 6 - 12 + 9x
= 9x - 6
hope it helps</span>
Answer:
first is linear second is quadratic and third looks like linear
Step-by-step explanation:
1. its a continuous straight line, linear
2. parabola shaped, quadratic
3. again a straight line, so linear
Answer:
![y^{2ac}](https://tex.z-dn.net/?f=y%5E%7B2ac%7D)
Step-by-step explanation:
Using the law if indices
×
= ![a^{(m+n)}](https://tex.z-dn.net/?f=a%5E%7B%28m%2Bn%29%7D)
Thus to simplify the expression add the 3 exponents
a(b + c) + b(c - a) + c(a - b) ← distribute parenthesis
= ab + ac + bc - ab + ac - bc ← collect like terms
= 2ac
Then the expression simplifies to
![y^{2ac}](https://tex.z-dn.net/?f=y%5E%7B2ac%7D)