Answer:
The first few Thabit numbers are: 2, 5, 11, 23, 47, 95, 191, 383, 767, 1535, 3071, 6143, 12287, 24575, 49151, 98303, 196607, 393215, 786431, 1572863, ... (sequence A055010 in the OEIS)
Step-by-step explanation:
Tina does not have enough rope to decorate the frame
Step-by-step explanation:
Tina wants to decorate a rectangular picture frame
- The width of the frame is 18 inches
- The length of the frame is 14 inches
- She has 4 feet rope
We want to know if she has enough rope or not to decorate the frame
∵ The frame is in the shape of the rectangle
- The length of the rope must be equal the perimeter of the frame
∵ The perimeter of a rectangle = 2 length + 2 width
∵ The length = 14 inches
∵ The width = 18 inches
∴ The perimeter of the frame = 2(14) + 2(18) = 28 + 36 = 64 inches
∵ The length of the rope is 4 feet
∵ 1 foot = 12 inches
∴ The length of the rope = 4 × 12 = 48 inches
∵ 48 < 64
∴ The length of the rope is less than the perimeter of the frame
∴ Tina does not have enough rope
Tina does not have enough rope to decorate the frame
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The correct answer is option D. Which is the even function is f (x) = x⁴.
<h3>What is an even function?</h3>
The function in which when the sign of the input variable is changed the output remains the same is called the even function. Mathematically we can write it as f(x) = f(-x ).
let us check the given four options:-
A f(x) = √x ; f(-x) = √-x here f(x) ≠ f(-x)
B f(x) = x ; f(-x) = -x here f(x) ≠ f(-x)
C f(x) = x³ + 1 ; f(-x) = -x³ + 1 here f(x) ≠ f(-x)
D f(x) = x⁴ ; f(-x) = (-x)⁴ = x⁴ here f(x) = f(-x)
We can see that in the option D the f(x) = x⁴ is an even function because f(x) = f(-x).
Therefore the correct answer is option D. Which is the even function is f (x) = x⁴.
To know more about even functions follow
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Answer: 5
Step-by-step explanation:
The most you can divide by 15 and 65 to get a whole number would be 5
