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evablogger [386]
3 years ago
14

Find the value of m, if(1/4)^2m × (1/4)^m = (1/4)^6​

Mathematics
1 answer:
bearhunter [10]3 years ago
7 0

Answer:

m = 2

Step-by-step explanation:

{ \bigg(  \frac{1}{4} \bigg)}^{2m}  \times  { \bigg(  \frac{1}{4} \bigg)}^{m}  =  { \bigg(  \frac{1}{4} \bigg)}^{6}  \\  \\  { \bigg(  \frac{1}{4} \bigg)}^{2m + m}  =  { \bigg(  \frac{1}{4} \bigg)}^{6} \\  \\  { \bigg(  \frac{1}{4} \bigg)}^{3m}  =  { \bigg(  \frac{1}{4} \bigg)}^{6}  \\  \\  \because \: bases \: are \: equal \\  \therefore \: exponents \: will \: also \: be \: equal \\  \\  \implies3m = 6 \\  \\  \implies \: m =  \frac{6}{3}  \\  \\  \huge \red{ \boxed{\implies \: m = 2  }}\\

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What is 30 divide by 4?
Sedaia [141]

Answer:

30 ÷ 4 = <em>7.5</em>

Step-by-step explanation:

This means that:

7.5 fits into 30 4 times

Example:

7.5    +   7.5     +    7.5    +     7.5

 \______\______/_______/

                    30

I hope this helps!

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>
7 0
4 years ago
Debbi has 17 coins that are all either quarters or dimes. the total value of her money is 3.20
AlladinOne [14]

Answer:

There are 10 quarters and 7 dimes

Step-by-step explanation:

The question asks for the number of quarters and the number of dimes.

Quarters and Dimes equal 17, so let number of quarters be "q" and number of dimes be "d", so we can write:

q + d = 17

We know quarters are worth 0.25 and dimes are worth 0.10 (in dollars) and total value of the coins are 3.20 dollars, thus we can write:

0.25q + 0.10d = 3.20

Let's write the first equation as:

q = 17 - d

Now we substitute this into 2nd equation and solve for d:

0.25q + 0.10d = 3.20

0.25(17 - d) + 0.10d = 3.20

4.25-0.25d+0.10d = 3.20

-0.15d = -1.05

d = 7

Now using this value of d, we now find q:

q = 17 - d

q = 17 - 7

q = 10

There are 10 quarters and 7 dimes

5 0
3 years ago
Rewrite 35 +63 as two factors
mestny [16]
The answer would be the GCF (7), and the sum of the quotients after dividing 35 and 63 by 7 (5 +9=14)  so the answer would be the numbers 7 and 14.
7 0
4 years ago
Suppose that l lines are drawn through a circle and these lines form p points of intersection (involving exactly two lines at ea
zhenek [66]

Over which interval(s) is the function decreasing?


8 0
3 years ago
Analice el siguiente enunciado.
Ipatiy [6.2K]

Answer:

<h2>There's only one person who has a tie, wears a hat and is not from North.</h2>

Step-by-step explanation:

Givens

  • There are 4 people in the group.
  • 3 of them have tie.
  • 3 of them wear a hat.
  • 3 of them are from the North.
  • But, just one of them has a tie, wear a hat and is from the Nprth of Mexico City.

From the given information you can notice that only one of them is not from the North, and the one that has all three qualities is from North.

Therefore, there's only one person who has a tie, wears a hat and is not from North.

6 0
3 years ago
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