Answer:
11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet
Step-by-step explanation:
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

In this question:
Permutations of four letters from a set of 12 letters. So

11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet
Answer:
16 hours
Step-by-step explanation:
let t be time, n the number of computers and w the number of workers, then
t =
← k is the constant of variation
To find k use the condition n = 30, w = 6 and t = 10 , then
10 =
( multiply both sides by 6 )
60 = 30k ( divide both sides by 30 )
2 = k
t =
← equation of variation
When w = 5 and n = 40 , then
t =
=
= 16 hours
Answer:
Step-by-step explanation:
<h3>Given</h3>
<h3>To find</h3>
<h3>Solution</h3>
Area formula
- A = lw
- A= 5w*w= 5w²
- 5w² = 500
- w²= 100
- w = √100
- w = 10 m
Then
<u>Answer:</u>
40%
<u>Step-by-step explanation:</u>
We are given that last month, Joe's puppy weight 5.4 pounds while this month, the puppy weighed 7.56 pounds.
We are to find the percentage increase of the weight of the puppy
We know that the formula of percentage increase if given by:
<em>Percentage increase = (new value - initial value)/initial value × 100</em>
So substituting the given values to get:
Percentage increase in puppy's weight =
= 40%
Answer:
a) 1.
Step-by-step explanation:
Supongamos que el primer número entero positivo es a tal que a ∈ Z⁺.
Luego, el conjunto de los cinco enteros positivos se puede expresar como
A = {a; a+1; a+2; a+3; a+4}
Dada la condición del problema, se debe cumplir que
a + (a+1) + (a+2) = (a+3) + (a+4)
⇒ 3a + 3 = 2a + 7
Resolviendo la ecuación resulta
a = 4
Luego, el conjunto A nos resulta
A = {4; 5; 6; 7; 8}
Puede concluirse que sólo un conjunto cumple con esta condición.