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jeyben [28]
3 years ago
15

Prove that 2n + 1 ≤ 2n for n ≥ 3

Mathematics
1 answer:
ohaa [14]3 years ago
3 0
In order for something to be proven, there can be no counterexamples to prove it false.

4 \geq 3 \\ n=4 \\ 2(4)+1 \leq 2(4) \\ 8+1 \leq 8 \\ 9 \leq 8

9 is not greater than or equal to 8, therefore this statement is false.
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According to the Guinness book of world records the heaviest baby ever born was 29 pounds , 4 ounces what was the baby’s mass in
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Answer: 13.268 kilograms

Step-by-step explanation:

29.25 lb × 0.45359237

= 13.267576823 kg

Hope this helps!!! Good luck!!! ;)

3 0
3 years ago
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I’m thinking it’s 13? But need someone to clarify if I’m correct!?
Papessa [141]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
What does 45 dividend by 5/11
Galina-37 [17]

Answer:

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3 years ago
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What is the sin inverse of (sine 9pi/7)?
Sveta_85 [38]
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7 0
3 years ago
Evaluate cos(sin^-1(4/5)
PSYCHO15rus [73]

Step-by-step explanation:

Let \:   \: \theta =  \sin^{ - 1}  (\frac{4}{5})  \\  \\  \therefore \:  \sin\theta = \frac{4}{5} \\  \\  \because \:  { \cos}^{2} \theta =1  - { \sin}^{2} \theta  \\  \\  \therefore \: { \cos}^{2} \theta  = 1 - (\frac{4}{5} )^{2}  \\ \\   = 1 -  \frac{16}{25}  \\  \\  =  \frac{25 - 16}{25}  \\  \\  =  \frac{9}{25}  \\  \\   \therefore \:{ \cos}\theta  = \pm \:  \frac{3}{5}  \\  \\  \because \:  \theta \: lie \: in \: the \: first \: quadrant \\  \\  \therefore \: { \cos}\theta  =  \:  \frac{3}{5}  \\ \\  \implies \theta =  { \cos}^{ -1 }  \: \frac{3}{5}\\\\\implies \theta =  { \cos}^{ -1 }  \: \frac{3}{5}= { \sin}^{ -1 }  \: \frac{4}{5} \\  \\  \therefore \:  \cos( \ {sin}^{ - 1}  \frac{4}{5} ) \\ \\ =  \cos( \ {cos}^{ - 1}  \frac{3}{5} )   \\\\ = \frac{3}{5}  \\  \\   \purple{ \boxed{\therefore \: \cos( \ {sin}^{ - 1}  \frac{4}{5} ) = \frac{3}{5}}}

8 0
3 years ago
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