It landed on red 102 times out of 300 spins
that is 102/300 which can reduce to 17/50 as a fraction
17/50 = 0.34 as a decimal
Answer:
The factored expression is 2(x² + 5)(x + 3).
Step-by-step explanation:
Hey there!
We can use a factoring technique referred to as "grouping" to solve this problem.
Grouping is used for polynomials with four terms as a quick and easy factoring method to remove the GCF and get down to the initial terms that create the expression/function.
Grouping works in the following matter:
- Given equation: ax³ + bx² + cx + d
- Group a & b, c & d: (ax³ + bx²) + (cx + d)
- Pull GCFs and factors
Let's apply these steps to the given equation.
- Given equation: 2x³ + 6x² + 10x + 30
- Group a & b, c & d: (2x³ + 6x²) + (10x + 30)
- Pull GCFs and factors: 2x²(x + 3) + 10(x + 3)
As you'll see, we have a common term with both sides of the expression. This term, (x + 3), is a valuable asset to the factoring process. This is one of the factors for our expression.
Now, we use our GCFs to create another factor.
- List GCFs: 2x², 10
- Create a term: (2x² + 10)
Finally, we'll need to simplify this one by taking another GCF, 2.
- Pull GCF: 2(x² + 5)
Now that we have this term, we need to understand that this <em>could</em> also be factored further using imaginary numbers, but it is also acceptable to leave it in this form.
Therefore, we have our final factors: 2(x² + 5) and (x + 3).
However, when we factor, we place all of our terms together. This leaves us with the final answer: 2(x² + 5)(x + 3).
Answer:
It is tidal energy, which is a renewable resource
Step-by-step explanation:
Tidal energy is is the energy produced when interaction of earth water masses and Moon's gravitational pull takes place. when moon's gravitational pull occurs on ocean water, currents and motion is produced in ocean water which leads to rise in water. when earth rotates this rise in water meets the shallow region of water near the shore and hence tide is created. This motion of rise and fall of water stores energy which is called tidal energy.
Renewal source is one which does not gets depleted and is replenished by nature. It's quantity will not get reduced with consumption.
example is sunlight : sunlight is renewable energy as everyday day this energy is produced . no matter how much it is consumed on earth for a day. Next day it will be again produced by earth.
Since, tides are regularly occurring phenomenon hence they are source of renewable tidal energy produced by them
It depends on the quality of the balls. It also depends on where you are buying them. Do you have any more details?
Remember how the tangent function is defined as

Now where exactly are the vertical assymptotes? Well, where cosx = 0, because anything over 0 is undefined, and where a value is undefined, you are required to draw a vertical assymptote.
Now where exactly are the x interecepts? Well, where sinx = 0, because remember, an x-intercept is where y = 0, or where it crosses the x-axis, meaning where the tangent function is equal to 0.
So the x-intercepts are at where sinx = 0.