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katrin2010 [14]
3 years ago
6

Serial numbers for a product are to be made using 2 letters followed by 2 digits. The letters are to be taken from the first 6 l

etters of the alphabet, with no repeats. The digits are taken from the10 digits , with no repeats. How many serial numbers can be generated?
Mathematics
1 answer:
Butoxors [25]3 years ago
4 0

Answer:

0

Step-by-step explanation:

0

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Determine whether each expression is equivalent to 49^2t – 0.5.
vampirchik [111]

Answer:

None of the expression are equivalent to 49^{(2t - 0.5)}

Step-by-step explanation:

Given

49^{(2t - 0.5)}

Required

Find its equivalents

We start by expanding the given expression

49^{(2t - 0.5)}

Expand 49

(7^2)^{(2t - 0.5)}

7^2^{(2t - 0.5)}

Using laws of indices: (a^m)^n = a^{mn}

7^{(2*2t - 2*0.5)}

7^{(4t - 1)}

This implies that; each of the following options A,B and C must be equivalent to 49^{(2t - 0.5)} or alternatively, 7^{(4t - 1)}

A. \frac{7^{2t}}{49^{0.5}}

Using law of indices which states;

a^{mn} = (a^m)^n

Applying this law to the numerator; we have

\frac{(7^{2})^{t}}{49^{0.5}}

Expand expression in bracket

\frac{(7 * 7)^{t}}{49^{0.5}}

\frac{49^{t}}{49^{0.5}}

Also; Using law of indices which states;

\frac{a^{m}}{a^n} = a^{m-n}

\frac{49^{t}}{49^{0.5}} becomes

49^{t-0.5}}

This is not equivalent to 49^{(2t - 0.5)}

B. \frac{49^{2t}}{7^{0.5}}

Expand numerator

\frac{(7*7)^{2t}}{7^{0.5}}

\frac{(7^2)^{2t}}{7^{0.5}}

Using law of indices which states;

(a^m)^n = a^{mn}

Applying this law to the numerator; we have

\frac{7^{2*2t}}{7^{0.5}}

\frac{7^{4t}}{7^{0.5}}

Also; Using law of indices which states;

\frac{a^{m}}{a^n} = a^{m-n}

\frac{7^{4t}}{7^{0.5}} = 7^{4t - 0.5}

This is also not equivalent to 49^{(2t - 0.5)}

C. 7^{2t}\ *\ 49^{0.5}

7^{2t}\ *\ (7^2)^{0.5}

7^{2t}\ *\ 7^{2*0.5}

7^{2t}\ *\ 7^{1}

Using law of indices which states;

a^m*a^n = a^{m+n}

7^{2t+ 1}

This is also not equivalent to 49^{(2t - 0.5)}

6 0
3 years ago
HELP ASAP. Worth 10 points
finlep [7]

Answer:

They studied for a little more than an hour?

Step-by-step explanation:

7/12 of 60 Mins is 35 mins and 2/3 is 40 mins 40+35=75 mins

which is a little more than an hour, 15 mins more to be precise.

3 0
2 years ago
Help please I'm almost done
LUCKY_DIMON [66]
Simple....

3x-10(x+2)=13-7x

Just solve for x.....

3x-10x-20=13-7x

-7x-20=13-7x
+7x           +7x

-20=13


NO SOLUTION.

Thus, your answer.
6 0
2 years ago
Read 2 more answers
Find the product: 377(10, 000).
Illusion [34]

Answer:

37, 700, 000

Step-by-step explanation:

377(10,000) = 377 x 10,000

= 37, 700, 000

an easy way to see it is to just add the number of zeros from 10,000 to 377. since there are four zeros, you put four zeros behind 377.

<em><u>[it's not mathematical but it helps u see the answer better. and it only works with numbers that start with 1]</u></em>

7 0
3 years ago
-6&lt;2c-4&lt;14 compound inequality​
Vladimir [108]

Answer:

-1 < c < 9

Step-by-step explanation:

-6<2c-4<14

Add 4 to all sides

-6+4<2c-4+4<14+4

-2<2c<18

Divide by 2

-2/2<2c/2<18/2

-1 < c < 9

8 0
3 years ago
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