Answer:
we need at least 17 - card deck
Step-by-step explanation:
From the information given :
We can attempt to solve the question by using pigeonhole principle;
"The pigeonhole principle posits that if more than n pigeons are placed into n pigeonholes some pigeonhole must contain more than one pigeon"
Thus; the minimum number of pigeon; let say at least n pigeons sit on at least one same hole among m hole can be represented by the formula:
m( n - 1 ) + 1
where ;
pigeons are synonymous to card
pigeonholes are synonymous to suits
So; m = 4 ; n = 5
∴ 4 (5 -1 ) + 1 ⇒ 4 (4) + 1
= 16 + 1
= 17
Hence; we need at least 17 - card deck
By using the arc length formula, we will see that the length of the curve is L = 1.48
<h3>
How to use the arc length formula?</h3>
Here we have the curve:
y = 2 - x^2 with 0 ≤ x ≤ 1
And we want to find the length of the curve.
The arc length formula for a curve y in the interval [x₁, x₂] is given by:

For our curve, we have:
dy/dx = -2x
And the interval is [0, 1]
Replacing that we get:

This integral is not trivial, using a table you can see that this is equal to:

evaluated from x = 1 to x = 0, when we do that, we will get:

That is the length of the curve.
If you want to learn more about curve length, you can read:
brainly.com/question/2005046
12 because if 2 lions is one sixth than every 2 lions is one sixth and 2 times 6 is twelve so there ya go
Answer:
7/2
Step-by-step explanation:
1/8 + 1/4, you must change the denominator so that they are the same.
So that would mean 1/8+ 1/8, but since the denominator for the second one was 1/4 we must multiply the top by 2. So it becomes 1/8+2/8. You then change the denominator for the rest of them like this and it becomes 1/8+2/8+3/8+4/8+6/8+7/8 which simplified equals 7/2.