Answer:
The number of words that can be formed from the word "LITERATURE" is 453600
Step-by-step explanation:
Given
Word: LITERATURE
Required: Number of 10 letter word that can be formed
The number of letters in the word "LITERATURE" is 10
But some letters are repeated; These letters are T, E and R.
Each of the letters are repeated twice (2 times)
i.e.
Number of T = 2
Number of E = 2
Number of R = 2
To calculate the number of words that can be formed, the total number of possible arrangements will be divided by arrangement of each repeated character. This is done as follows;
Number of words that can be formed = 
Number of words = 
Number of words = 
Number of words = 453600
Hence, the number of words that can be formed from the word "LITERATURE" is 453600
Answer:
The dimension of the cardboard is 34 cm by 34 cm by 17 cm.
Step-by-step explanation:
Let the dimension of the cardboard box be x cm by y cm by z cm.
The surface area of the cardboard box without lid is
f(x,y,z)= xy+2xz+2yz.....(1)
Given that the volume of the cardboard is 19,652 cm³.
Therefore xyz =19,652
......(2)
putting the value of z in the equation (1)
The partial derivatives are
To find the dimension of the box set the partial derivatives 
and 
.Therefore 
.......(3)
and 
.......(4)
Now putting the x in equation (3)
⇒y=34 cm
Then 
=34 cm.
Putting the value of x and y in the equation (2)
=17 cm.
The dimension of the cardboard is 34 cm by 34 cm by 17 cm.
Answer:
(1 x 6) + 3n
Step-by-step explanation:
Hope this helps!
Teresa is not correct because when the first expression is simplified, it is 3 less than the second expression.
Well, let’s simplify the first expression. Distribute the 2 to the (5x - 3) to get the expression to 10x - 6 + 6x. Now, combine like terms to get 16x - 6, which is not the same as 16x - 3.
