Ok so it is a standard deck of 52 cards. Theres 4 suites: Hearts, Spades, Clubs and Diamonds.
In each suite there is 13 cards: Ace, King, Queen, Jack, 10, 9, 8, 7, 6, 5, 4, 3, and 2. The probability of you choosing 5 hearts is most likely to be 5/52.
Answer:
Firstly Substitute y=2x-5 into 5x-4y=-10
This will be 5x-4(2x-5)=10 now solve for x
5x-8x+20=-10
-3x=-30
X=10
Now sub x as 10 into the second equation y=2x-5
Y=2(10)-5
Y=15
Answer:
The x-coordinate is \dfrac{\pi}{6}[/tex].
Step-by-step explanation:
We are given a function f(x) as:
Now on differentiating both side with respect to x we get that:
When 
this means that 
Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval ![[0,\pi]](https://tex.z-dn.net/?f=%5B0%2C%5Cpi%5D)
.
also we know that 
----(1) (which lie in the second quadrant)
so on comparing our equation with equation (1) we obtain:
Hence, the x-coordinates where for 
is 
.
Answer:
x= 1/2
Step by Step explanation:
1- Substitute f (x) = 0
2- Determine the defined range
3- Swap the sides
4- Use the inverse trigonometric function
5- Evaluate the expression
6- Move the constant to the right
7- Divide both sides
8- Check the solution
