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3 years ago

8

10 points!

1 answer:

Len [333]3 years ago

6 0

Answer:

I believe it is 4.8

Step-by-step explanation:

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A²,b²,c² are consecutive perfect squares.How many natura numbers are lying between a² and c², if a>0

pogonyaev

Answer:

The quantity of natural numbers between $a^{2}$ and $c^{2}$ is $2\cdot (a + b) + 1$ .

Step-by-step explanation:

If $a^{2}$ , $b^{2}$ and $c^{2}$ are consecutive perfect squares, then both $a$ , $b$ and $c$ are natural numbers and we have the following quantities of natural numbers:

Between $b^{2}$ and $c^{2}$ :

$c^{2} = (b+1)^{2}$

$c^{2} = b^{2}+2\cdot b + 1$

$c^{2}-b^{2} = 2\cdot b + 1$

And the quantity of natural numbers between $b^{2}$ and $c^{2}$ is:

$c^{2}-b^{2}-1 = 2\cdot b$

Between $a^{2}$ and $b^{2}$ :

$b^{2} = (a + 1)^{2}$

$b^{2} = a^{2} +2\cdot a + 1$

$b^{2}-a^{2} = 2\cdot a + 1$

And the quantity of natural numbers between $a^{2}$ and $b^{2}$ is:

$b^{2}-a^{2}-1 = 2\cdot a$

And the quantity of natural numbers between $a^{2}$ and $c^{2}$ is:

$Diff = 2\cdot a + 2\cdot b + 1$

Please observe that the component +1 represents the natural number $b^{2}$

4 0

3 years ago

the amount of sales tax on a clothing purchase is directly proportional to the purchase price of the clothing. the sale tax on a

salantis [7]

9514 1404 393

Answer:

7%

Step-by-step explanation:

The tax rate is the ratio of tax to pre-tax cost:

$4.20/$60.00 = 0.07 = 7%

The constant of variation (tax rate) is 7%.

6 0

3 years ago

Quick i need help! (includeing pic)

allsm [11]

I believe the answer would be D :)

5 0

3 years ago

Read 2 more answers

Arrange the numbers in decreasing order<br> 9/4 <br> 2 1/12<br> 2 1/2<br> 12/11

LekaFEV [45]

2 1/2
9/4
2 1/12
12/11
Hope this helps you...

3 0

4 years ago

Which expression is equivalent to log2 9x^3?

marishachu [46]

Answer:

Option 1 - $\log_{2}(9 {x}^{3} )=\log_{2}(9 ) +3 \log_{2}( {x} )$ - log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x

Step-by-step explanation:

Given : Expression $\log_2(9x^3)$

To find : Which expression is equivalent to given expression ?

Solution :

Expression $\log_2(9x^3)$

Applying logarithmic property, $\log_{a}( MN ) = \log_{a}( M) + \log_{a}( N )$

$\log_{2}(9 {x}^{3} ) = \log_{2}(9 ) + \log_{2}( {x}^{3} )$

Using property, $\log_{a}( { M}^{n} ) =n \log_{a}( { M})$

$\log_{2}(9 {x}^{3} )=\log_{2}(9 ) +3 \log_{2}( {x} )$

i.e. log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x

Therefore, option 1 is correct.

8 0

3 years ago

Read 2 more answers