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gulaghasi [49]
3 years ago
13

What is the value of m?

Mathematics
2 answers:
nordsb [41]3 years ago
6 0

Answer:

m=4

Step-by-step explanation:

3^3 * 3^5 = 3^m^2

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

So combining terms on the left

3^(3+5) = 3^m^2

3^(8) = 3^m^2

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

Combining terms on the left

3^(8) = 3^(m*2)

Since the bases are the same, the exponents are the same

8 = 2m

Divide each side by 2

8/2 = 2m/2

m=4

madreJ [45]3 years ago
5 0

Answer:

the value of (3m) is 4

Step-by-step explanation:

3m equals 4

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lina2011 [118]

Answer:

\sqrt{54} and \sqrt{120}

Step-by-step explanation:

If a number 'x' is a perfect square, then \sqrt{x} is rational.

25, 36 and 81 are perfect squares, but 54 and 120 aren't, so the irrational values are \sqrt{54} and \sqrt{120}

3 0
3 years ago
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Casey likes to run. She runs an additional 1/4 mile each day. On the last day, she ran 1 1/4 miles. If she ran 1/2 mile on her f
Lyrx [107]
Three days
1 1/4 = 5/4 
1/2= 2/4
2/4+1/4= 3/4 the first day
5/4-3/4= 2/4 
2/4 = 1/4 and 1/4 = two days
the first day+ two days= 3 days
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3 years ago
Notebooks are originally on sale for $2.00. This school year they were marked up by 15%. What's
Aleks04 [339]

Answer:

the new notebook price is

Step-by-step explanation:

10% of $2.00 is 20 cents. 5% is 10 cents. 20+10= 30. 30 cents. $2.00+30 = $2.30

5 0
3 years ago
Find a formula for geometric series that begins with 28, 98, 343,...​
otez555 [7]

Answer:

Step-by-step explanation:

In a geometric series, the successive terms differ by a common ratio which is determined by dividing a term by the preceding term.

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio between successive terms in the sequence.

n represents the number of terms in the sequence.

From the seies shown,

a = 28

r = 98/28 = 343/98 = 3.5

The formula representing the nth term of the given sequence would be expressed as

Tn = 28 × (3.5)^(n - 1)

6 0
3 years ago
Item 8 Solve for x. Use the quadratic formula. 2x2−5x−9=0 Enter the solutions, in simplified radical form, in the boxes.
Lubov Fominskaja [6]

Answer:

5+√97/4

Also 5-√97/4

Step-by-step explanation:

The Quadratic formula is x=-b+-√b^2-4ac/2a

This means that we should plug the values for A B AND C into the formula

We can work out that

<u><em>A = 2</em></u>

<u><em>B=-5</em></u>

<u><em>C=-9</em></u>

Once we have put these into the formula we get

5+√97/4 (all over 4) aka 3.71

Also 5-√97/4 (all over 4) aka -1.21

7 0
3 years ago
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