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Mandarinka [93]
3 years ago
7

A certain threethree​-cylinder combination lock has 6060 numbers on it. To open​ it, you turn to a number on the first​ cylinder

, then to a second number on the second​ cylinder, and then to a third number on the third cylinder and so on until a threethree​-number lock combination has been effected. Repetitions are​ allowed, and any of the 6060 numbers can be used at each step to form the combination.​ (a) How many different lock combinations are​ there? (b) What is the probability of guessing a lock combination on the first​ try?
Mathematics
1 answer:
MakcuM [25]3 years ago
6 0

Answer:

9,150,625.

Step-by-step explanation:

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I Need Help!!!!
vagabundo [1.1K]

Answer:

6^27

Step-by-step explanation:

To answer this, we are going to use one of the laws of indices

We have this as;

(a^b)^c = a^(b * c) = a^bc

we are going to apply same here

(6^-3)^-9 = 6^(-3 * -9) = 6^27

8 0
2 years ago
Select all the statements that are true.
alexgriva [62]

Answer:

The product of 8x(5x−6) is 40x^2−48x

The product of (x−3)(5x−6) is 5x^2−21x+18

Step-by-step explanation:

<u><em>Verify each option</em></u>

Part 1) The product of 8x(5x−6) is 40x^2−48x

we have

8x(5x-6)

Applying distributive property

8x(5x)-8x(6)\\40x^2-48x

Compare with the given value

40x^2-48x=40x^2-48x

therefore

The statement is true

Part 2) The product of −4x(2x2+1) is −8x^3−5x

we have

-4x(2x^{2}+1)

Applying distributive property

-4x(2x^{2})-4x(1)\\-8x^3-4x

Compare with the given value

-8x^3-4x \neq -8x^3-5x

therefore

The statement is not true

Part 3) The product of (x−3)(5x−6) is 5x^2−21x+18

we have

(x-3)(5x-6)

Applying distributive property

x(5x)-x(6)-3(5x)+3(6)\\5x^2-6x-15x+18\\5x^2-21x+18

Compare with the given value

5x^2-21x+18=5x^2-21x+18

therefore

The statement is true

Part 4) The product of (2x+3)(x^2+3x−5) is 2x^3+9x^2+9x−25

we have

(2x+3)(x^2+3x-5)

Applying distributive property

(2x)(x^2+3x-5)+(3)(x^2+3x-5)\\(2x^3+6x^2-10x)+(3x^2+9x-15)\\2x^3+9x^2-x-15

Compare with the given value

2x^3+9x^2-x-15 \neq 2x^3+9x^2+9x-25

therefore

The statement is not true

8 0
3 years ago
A man and his three children spent $40 to attend a show. A second family of three children and their two parents spent $53 for t
wariber [46]
The cost for the children tickets is $9
5 0
3 years ago
What is. 3/4x - 2/3x - 4 = 1/6x - 7<br><br> I give Brainliest!
Lady bird [3.3K]

Answer:

x = 36

Step-by-step explanation:

(3/4)*x-((2/3)*x)-4 = (1/6)*x-7 // - (1/6)*x-7

(3/4)*x-((2/3)*x)-((1/6)*x)-4+7 = 0

(3/4)*x+(-2/3)*x+(-1/6)*x-4+7 = 0

3-1/12*x = 0 // - 3

-1/12*x = -3 // : -1/12

x = -3/(-1/12)

x = 36

4 0
3 years ago
HELP PLEASE! ALSO CAN U EXPLAIN BECAUSE I NEED TO LEARN AAA m ÷ -1/4 = 6
Sveta_85 [38]
The answer is -3/2 lmk if you need an explanation :)
8 0
3 years ago
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