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Yanka [14]
3 years ago
7

Prove n! >= 2^n-1 for all n in the naturals

Mathematics
1 answer:
san4es73 [151]3 years ago
3 0
What........... that’s really how math looks tho lil
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4+3x the (x has an exponent of 4)=81
Stells [14]

Answer:

x = 2.25 (Approximately)

Step-by-step explanation:

4 + 3x^4 = 81

4 - 4 + 3x^4 = 81 - 4

3x^4 = 77

(3x^4)/3 = 77/3

x^4 = 25.67 (Approximately)

x = 2.25 (Approximately)

8 0
3 years ago
What are the explicit equation and domain for an arithmetic sequence with a first term of 8 and a second term of 5?
boyakko [2]

Answer:

Option C.

Step-by-step explanation:

It is given that the first term of the arithmetic sequence is 8 and second term is 5.

a=8

d=5-8=-3

We know that the explicit equation of an AP is

a_n=a+(n-1)d, where n is an integer greater than or equal to 1.

where, a is first term and d is common difference.

a_n=8+(n-1)(-3)

a_n=8-3(n-1)

So, domain of this explicit equation is all integers where n ≥ 1.

Therefore, the correct option is C.

4 0
4 years ago
A tank currently holds 5 gallons of water, it being filled at the rate of 1/4 gallon per minute. How long will it take for the t
Blababa [14]

Answer:

it will take 16 minutes

Step-by-step explanation:

Its already filled 5 gallons. if it's 1/4 per minute, then in 4 minutes 1 gallon will be filled. that means in 16 minutes it will be filled 9 gallons because 4 minutes x 4 is 16 minutes and 1 gallon times 4 is 4 gallons and 4 gallons + 5 gallons is 9 gallons ur welcome

4 0
4 years ago
What are the real zeros of x3 + 4x2 − 9x − 36?
ruslelena [56]

Answer:

C

Step-by-step explanation:

x^3+4x^2-9x-36=0

or x²(x+4)-9(x+4)=0

or (x+4)(x²-9)=0

or (x+4)(x+3)(x-3)=0

x=-4,-3 or 3

8 0
4 years ago
What are the first two answers? #16 and #17
Luden [163]
Answer to number 16 is 27 and 17 is 2
5 0
4 years ago
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