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alisha [4.7K]
1 year ago
6

Prove usin's Mathematical induction 2^n ≤(n+1)!, for n≥0​

Mathematics
1 answer:
Westkost [7]1 year ago
8 0

Answer:

Step-by-step explanation:

2^0 is less than or equal to 1!, because 1<= 1

if 2^n <= (n+1)!, we wish to show that 2^(n+1) <= (n+2)!, since

(n+2)! = (n+1)! * (n+2), and (n+1)!>= 2^n, then we want to prove that n+2<=2, which is always true for n>=0

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Is -90 + (-5) positive or negative? Explain how you know.
horrorfan [7]

Answer:

negative because since -90 and -5 are both negative just add and keep it the sign which is -95

hope this helps

have a good day :)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
4. Break-Even Analysis
DiKsa [7]

Answer:

x = 1178 games

Step-by-step explanation:

Let the number of games = x

Let the total cost = Tc

Let the total revenue = Tr

Given the following data;

Investment = $10,000

Cost of each game = $1.50

Selling cost = $9.99

Total cost, Tc = (Cost of each game * Number of games) + Investment

Tc = 1.50x + 10000

Total revenue, Tr = Selling cost * Number of games

Tr = 9.99x

Breakeven point is when total cost is equal to total revenue;

Tc = Tr

1.50x + 10000 = 9.99x

9.99x - 1.50x = 10000

8.49x = 10000

x = \frac {10000}{8.49}

x = 1177.86 ≈ 1178 games.

<em>Therefore, the number of games that must be sold before the business breaks even is 1178 games. </em>

4 0
2 years ago
What is the value of x
mezya [45]

Answer:

x=9.5

Step-by-step explanation:

In order to find the answer, we know that 6x + 4x - 5 = 90

Next we want to combine like terms: 10x - 5 = 90.

Now we have to add 5 to 90 in order to get x on its own.  10x = 95

Now solve for x by dividing 95 by 10: x=9.5

4 0
2 years ago
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What is 4 times what = 1?
saveliy_v [14]

Answer:

.25                    4(.25) = 1

Step-by-step explanation:

5 0
3 years ago
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Find the value of x.
faust18 [17]

Answer:

          7 sqrt(3) =x

Step-by-step explanation:

We know that sin 60 = opposite / hypotenuse

                       sin 60 = x/14

Multiply both sides by 14

                          14 sin 60 = x

                        14 * (sqrt(3)/2) =x

                      7 sqrt(3) =x

8 0
3 years ago
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