Answer: 7800
Step-by-step explanation:
As English alphabet has 26 letters.
So , Choices for First character in the code = 26
The choices for digits = 10 (From 0 to 9)
So , choices for second character = 10 (Middle two characters must be numbers)
choices for third character = 10 (Middle two characters must be numbers)
Choices for last character = 3 (the last character must be a 1, 3, or 7)
By Fundamental principle of counting , the total number of four character codes can be generated =
(Choices for First character)x (choices for digits) x(choices for digits) x(Choices for last character)
= (26) (10)(10)(3) =7800
Hence, the total number of character codes can be generated= 7800
Answer:
1/5=.02=2% interest rate over 5 years
Step-by-step explanation:
n, n+1 - two consecutive integers
n(n + 1) = 50 <em>use distributive property</em>
n² + n = 50 <em>subtract 50 from both sides</em>
n² + n - 50 = 0
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ax² + bx + c =0
if b² - 4ac > 0 then we have two solutions:
[-b - √(b² - 4ac)]/2a and [-b - √(b² + 4ac)]/2a
if b² - 4ac = 0 then we have one solution -b/2a
if b² - 4ac < 0 then no real solution
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n² + n - 50 = 0
a = 1, b = 1, c = -50
b² - 4ac = 1² - 4(1)(-50) = 1 + 200 = 201 > 0 → two solutions
√(b² - 4ac) = √(201) - it's the irrational number
Answer: There are no two consecutive integers whose product is 50.
Answer:
13.5 inches
Step-by-step explanation:
Perimeter of the paper square = 18inches
Perimeter of a square = 4s
4s = 18 inches
s = 18/4 = 4.5 inches
Therefore, each side of the square = 4.5 inches.
When the square is cut into 2 rectangles,
The perimeter of one of the rectangles is 10 inches.
Perimeter of the second rectangle = 2L + 2W
Let the length of the rectangle (L) = one side of the square = 4.5 inches
Width of the Rectangle = Length of the square/2 = 4.5 inches/ 2 = 2.25
Perimeter of the second rectangle = 2(4.5) + 2(2.25)
= 9 + 4.5
= 13.5 inches
sorry it won't let me show step by step but your answer is 150x-17
