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3 years ago

What is 3 x 3 x 9 x 9 x 81 x 81 x 6561 x 6561

Mathematics

2 answers:

juin [17]3 years ago

6 0

Answer:

205891132094649

Nataly_w [17]3 years ago

4 0

2.05891x10^14

I hope this helps :)

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How many strings of six lowercase letters of the English alphabet contain

Marizza181 [45]

Answer:

a) 122,523,030

b) 72,930,375

c) 223,149,655

d) 100,626,625

Step-by-step explanation:

Consider that there are 5 vowels and 21 consonants in the English alphabet

a) exactly one vowel?

There a 6 possible positions for that vowel (6)

There are 5 ways to choose 1 vowel. (5)

There are 5 other positions to place one of the 21 consonants. (21^5)

$N(_{v=1})=6*5*21^5 = 122,523,030$

b) exactly two vowels?

There are C(6,2) possible positions for both vowels (C(6,2))

There are 2 positions to choose a vowel out of 5 vowels. (5^2)

There are 4 other positions to place one of the 21 consonants. (21^4)

$N(_{v=2})=C(6,2)*5^2*21^4 = \frac{6!}{(6-2)!2!}*5^2*21^4\\N(_{v=2})= 72,930,375$

c) at least one vowel?

The number of possibilities that the string contains at least one vowel is the number of total possible outcomes minus the number of outcomes with only consonants:

$N(_{v>0})=(21+5)^6-21^6 \\N(_{v>0})= 223,149,655$

d) at least two vowels?

The number of possibilities that the string contains at least two vowels is the number of possibilities that the string contains at least one vowel minus the number of possibilities that the string contains exactly one vowel:

$N(_{v>1})= 223,149,655 - 122,523,030\\N(_{v>1}) = 100,626,625$

8 0

3 years ago

Triangle ADE is similar to triangle ABC. Which statement is TRUE concerning the slope of the line formed by the hypotenuse of

notka56 [123]

Answer:it’s b

Step-by-step explanation:

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3 years ago

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What are the factors of 30 that have a sum of -11

Fed [463]

Answer:

Why is 42 the sum of all factors of 30, excluding 30? The factors of the number 30 are: 1, 2, 3, 5, 6, 10, 15, 30.

Step-by-step explanation:

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3 years ago

A group of student organized a car wash to raise money for a local charity.the student charged $5 for each car they washed. In 3

Alex Ar [27]

$5 each car 3 hours = 12 cars ÷3 ÷3 1 hours = 4 cars ×8 ×8 8 hours = 32 cars 32 cars × $5 per car = $160 They earned $160 in 8 hours, from washing 32 cars.

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3 years ago

Kyle starts a fundraiser with 43 pennies he recruits all of the player on his baseball team to participate. His goal is to tripl

guapka [62]

Answer:

I know this is late but hopefully this helps someone reading this in the future. the answer is y = 43(3)^x

Step-by-step explanation:

If kyle starts out with with 43, and the amount triples everyday, it would be 3 to the power of x (how many days there are), which would make that the equation. Sorry, if this explanation makes no sense.

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3 years ago

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