Step-by-step explanation and answer:
Setting up a system of equations would be the easiest method for this question. The first number will be x. The second number will be y. According to the question:
x+1=y
2x-4=5y
Since the first equation is already solved for y, you can plug the whole first equation in for y in the second equation, then solve for x.
2x-4=5(x+1) Distribute the 5
2x-4=5x+5 Subtract 5x from 2x
-3x-4=5 Subtract -4 from 5 (add 4 to 5)
-3x=9 Divide to get the x by itself
-3=x
Now that you have x solved for, you can plug it into the first equation (or second, if you prefer) to solve for y.
x+1=y
-3+1=y
-2=y
Cot²x/csc+1
=(csc²x-1)/(csc+1)
=((1/sin²x)-1)/((1/sinx)+1)
=((1-sin²x)/sin²x)/((1+sinx)/sinx)
=(1-sin²x)/(1+sinx)
=(1+sinx)(1-sinx)/sinx(1+sinx)
=(1-sinx)/sinx
Answer:
It's expected that proline would appear between once or twice.
Step-by-step explanation:
If it were made up of a random assortment of amino acids, each amino acid can have:
chance of being in any particular place in the sequence.
Therefore, Proline has a
chance of being in each place.
We've got 33 places,
So if we can multiply the places we've got times the chances and we get:
or 1.65
Therefore it's expected that proline would appear between once or twice.
Geometric progresión:
we can calculate any term, using this rule:
an=a₁*r^(n-1)
a₁=the first term
r=the common ratio
a₆=128
r=2
an=a₁ * r^(n-1)
128=a₁ * 2⁶⁻¹
128=a₁ * 2⁵
128=a₁ * 32
a₁=128/32=4
Solution: a₁=4