The number of ways is 364 if the number of ways in which 4 squares can be chosen at random.
<h3>What are permutation and combination?</h3>
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
It is given that:
On a chessboard, four squares are randomly selected so that they are adjacent to each other and form a diagonal:
The required number of ways:
= 2(2[C(4, 4) + C(5, 4) + C(6, 4) + C(7, 4)] + C(8, 4))
= 2[2[ 1 + 5 + 15+35] + 70]
= 364
Thus, the number of ways is 364 if the number of ways in which 4 squares can be chosen at random.
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Given:
f(x) is an exponential function.


To find:
The value of f(0.5), to the nearest hundredth.
Solution:
The general exponential function is

For, x=-0.5,

...(i)
For, x=1.5,

...(ii)
Divide (ii) by (i).


Taking square root on both sides, we get


Putting b=0.882 in (i), we get




Now, the required function is

Putting x=0.5, we get



Therefore, the value of f(0.5) is 23.81.
Answer:
Se usaron 700 g de queso, quedando 300 g de queso.
Step-by-step explanation:
Si se usó 1/5 más 1/2 de queso, el total usado fue:
Entonces, se usó 7/10 del kg inicial de queso. Sabiendo que:
1 kg ------ 1000 g
7/10 kg ------ x g
Entonces x = 700 g, lo que significa que se usaron 700 g de queso, quedando 300 g de queso.
Este problema se puede resolver utilizando una regla de tres, como se hizo aquí, o mefiante razones, en una equacion lineal.
Espero te haya sido de ayuda!
The length of the arc of the circle with a radius of 2 ft and the angle made at the centre equal to
is 10.5ft.
<h3>What is the length of the arc of a circle?</h3>
The length of the arc of a circle is equal to the product of the circumference of the circle and the ratio of the angle made by the arc of the circle to 2π. It is given by the formula,

It is given that the radius of the circle is equal to 2 ft while the angle made by the arc at the centre of the circle is equal to
. And we know the formula for the length of the arc, therefore, the length of the arc,


Hence, the length of the arc of the circle with a radius of 2 ft and the angle made at the centre equal to
is 10.5ft.
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6f-1 and 2f+ 4f +2-3 are equal. 2f +4f+2-3 is 17 at f=3 because
(2•3)+(4•3)+(2-3) =
(6+12)+(-1) =
(18)+(-1)=
17
Plug in what f equals for f in the equation and evaluate
I hope this helps.