Answer:
Formula = 2n-1
Step-by-step explanation:
Given : Antonio uses the power of 2n to find the number of ways bits can be arranged. The n often stands for the number of bits. Millie, collects golden keys to help her in her quest.
To write : A formula to show that Millie can collect one less key than the highest number of bits that can be arranged in the system.
Number of bits =n
Highest number of bits =2n
One less key than the highest number of bits = 2n-1
Therefore, the formula he use = 2n-1
B. (30+6)/6+3*2^2
C.40-[5*(3+1)+8]
D.[(3+5)*2-5]*3
length = 22 cm; width = 18 cm
length = 24 cm; width = 16 cm
length = 23 cm; width = 14 cm
Answer:
Length = 25 cm , Width = 15 cm.
Step-by-step explanation:
Given : The length of a rectangle is 5 centimeters less than twice its width. The perimeter of the rectangle is 80 cm.
To find : What are the dimensions of the rectangle.
Solution : We have given
Perimeter = 80 cm .
According to question :
Let width of rectangle = W .
Length is twice its width.
L = 2W .
Length of a rectangle is 5 centimeters less than twice its width.
L = 2W - 5.
Then ,
Perimeter = 2 ( length + width).
Plug the values
80 = 2 ( 2W - 5 + W ) .
80 = 2( 3W -5) .
On dividing both sides by 2
40 = 3W - 5 .
On adding both sides by 5.
45 = 3 W .
On dividing both sides by 3.
W = 15 cm .
L = 2W - 5.
L = 2 ( 15) - 5 .
L = 30 -5 .
L = 25 cm .
Therefore, Length = 25 cm , Width = 15 cm.
3x2 − 11x + 8 may or may not be a polynomial
3x2 − 11x + 8 will be a polynomial
3x2 − x + 4 may or may not be a polynomial
3x2 − x + 4 will be a polynomial
Answer:
option (b) is correct.
we get a polynomial
Step-by-step explanation:
Given : Polynomial 5x -6 and .
We have to choose out of given options which shows that polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from .
We first subtract the polynomial
similar terms are terms having same variables with same degree.
Here, -6x and -5x are similar
and 2 and 6 are similar.
Adding similar terms, we get,
Polynomial is an algebraic expression that can involves variables with non negative integer terms and constants.
Thus, we get a polynomial
Hence, option (b) is correct.
A.27 hours
B.15 hours
C.6 hours
D.3.1 hours
Bill has 4 letter blocks: A, B, C and D. In how many different ways can Bill arrange the blocks in a row? 6, 12, 18 or 24?
The number of different ways can Bill arrange the blocks in a row will be 24. Then the correct option is D.
A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
Bill has 4 letter blocks: A, B, C, and D.
The number of different ways can Bill arrange the blocks in a row will be
⇒ 4!
⇒ 4 x 3 x 2 x 1
⇒ 24
The number of different ways can Bill arrange the blocks in a row will be 24. Then the correct option is D.
More about the permutation and the combination link is given below.
#SPJ2
Start from 7, then add 5 each time.
a7 is 7 plus 30, or 37.