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3 years ago

Simplify (x ^2 y)^3. x 2y 3, x 5 y 3, x 6 y 3^

Mathematics

1 answer:

Veronika [31]3 years ago

8 0

Answer:

x^6 y^3

Step-by-step explanation:

(x ^2 y)^3

We know that (ab)^c = a^c b^c

x^2^3 * y^3

We know that a^b^c = a^(b*c)

x^(2*3) y^3

x^6 y^3

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A certain organization recommends the use of passwords with the following format: vowel commavowel, consonant comma consonant c

zimovet [89]

The password format is = inpray93

vowel , consonant, consonant, consonant, vowel, consonant, number, number.

There are 21 consonants, 5 vowels and 10 number choices (0-9)

Since, there are 21 consonants and repetition is allowed so for 2nd, 3rd, 4th, and 6th positions 21 choices are available. For 1st and 5th positions, 5 choices are available and for 7th and 8th position there are 10 choices (0 to 9).

Passwords are not case sensitive which means upper case and lower case letters are same.

So, the number of passwords can be =

$5\times21\times21\times21\times5\times21\times10\times10$

= 486202500

Part (b) question is not given. But it can be opposite to the first part i.e when the password letters are case sensitive.

This means all the letters are different.

So, number of passwords will be =

$10\times42\times42\times42\times10\times42\times10\times10$

= 31116960000

4 0

3 years ago

Value 5. What per cent of 84 is 14?

galben [10]

14/84 x100 =. 1/6 x 100 = 16.66%

4 0

2 years ago

△HFM∼△PST

loris [4]

Answer:

The perimeter of △HFM is 50.75 units

Step-by-step explanation:

The correct picture of the question in the attached figure

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

we have

△HFM∼△PST ----> given problem

step 1

Find the scale factor

Let

z ----> the scale factor

$z=\frac{HF}{PS}$

substitute the given values

$z=\frac{14}{8}=1.75$

step 2

Find the perimeter of triangle PST

Remember that the perimeter of a triangle is the sum of its three length sides

$P=8+9+12=29\ units$

step 3

Find the perimeter of triangle HFM

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

The perimeter of triangle HFM is equal to the perimeter of triangle PST multiplied by the scale factor

$29(1.75)=50.75\ units$

6 0

3 years ago

1. Compute the percent of Mikki's Mathematics score. That is compute P X( 5 60).

Varvara68 [4.7K]

Answer:

sorry kid idontknow

Step-by-step explanation:

5 0

2 years ago

Two groups collected litter along the side of the road it takes each group 5 minuites to clean up a 200 yard section how long do

meriva

This is dividing
So 1 mile has 1760 yards so in total
2 miles = 3520 yards and it takes 5 minutes to clean up 200 yards (We divide)
3520 ÷ 200 = 17.6 ( Now we multiply)
17.6 x 5 = 88 minutes or ( 1 hour and 22 minutes)

8 0

2 years ago