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Arlecino [84]
3 years ago
7

Question help please these are them 3

Mathematics
1 answer:
iren [92.7K]3 years ago
6 0

Answer: 0

<u>Step-by-step explanation:</u>

log_{m} 1 = x

   1 = mˣ

   1 = m⁰

**************************************************************

Answer: x = -\frac{2}{33}

<u>Step-by-step explanation:</u>

log₁₀ (1 - 6x) = 2         restriction: 1 - 6x > 0    ⇒     x < \frac{1}{6}

        1 - 6x = 10²

        1 - 6x = 100

     <u> -1         </u>     <u> -1 </u>

           -6x = 99

            \frac{-6x}{-6} = \frac{99}{-6}

              x = -\frac{2}{33}

**************************************************************

Answer: x = -\frac{3}{5}

<u>Step-by-step explanation:</u>

\frac{1}{\sqrt[5]{27} } = 3ˣ

\frac{1}{\sqrt[5]{3^{3}} } = 3ˣ

\frac{1}{3^{\frac{3}{5} } } = 3ˣ

3^{-\frac{3}{5} = 3ˣ

-\frac{3}{5} = x

**************************************************************

Answer: x = \frac{5}{9}

<u>Step-by-step explanation:</u>

ln 2 + ln x = ln 5 + ln (4x - 2)

ln (2(x)) = ln (5(4x - 2))

     2x   =   5(4x - 2)

     2x   =   20x - 10

<u>  -20x  </u>    <u> -20x        </u>

  -18x  =             -10

       \frac{-18x}{-18} = \frac{-10}{-18}

         x = \frac{5}{9}

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Determine whether or not 630 is a triangular number. start with the formula t n = n ( n + 1 ) 2 and then use the quadratic formu
ziro4ka [17]
Triangular sequence = n(n + 1)/2

If 630 is a triangular number, then:

n(n + 1)/2  = 630

Then n should be a positive whole number if 630 is a triangular number.

n(n + 1)/2  = 630

n(n + 1)  = 2*630

n(n + 1)  = 1260

n² + n = 1260

n² + n - 1260 = 0

By trial an error note that 1260 = 35 * 36

n² + n - 1260 = 0

Replace n with 36n - 35n

n² + 36n - 35n - 1260 = 0

n(n + 36) - 35(n + 36) = 0

(n + 36)(n - 35) = 0

n + 36 = 0   or   n - 35 = 0

n = 0 - 36,   or  n = 0 + 35

n = -36, or 35

n can not be negative. 

n = 35 is valid.

Since n is a positive whole number, that means 630 is a triangular number.

So the answer is True.
7 0
3 years ago
What is 2x+5=y and 5x+4=y pls hurry
Sergeu [11.5K]

Answer:

( 1/3, 5 2/3) Or (0.33, 5.66)

Step-by-step explanation:

If you graph the 2 equations and see where they intersect, they will land on the answer.

4 0
3 years ago
AABC is similar to ADEF.<br> Find x.<br> perimeter of triangle DEF= 60
vovangra [49]
Find AC using Pythagorean theorem
6^2 + 8^2 = AC^2
36 + 64 = AC^2
100 = AC^2
10 = AC

6+8+10 = 24

24/60 = 2/5

10/x = 2/5
50 = 2x
25 = x
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2 years ago
Whole numbers greater than 9 but less than 14
yaroslaw [1]
10, 11, 12, and 13 :)
6 0
3 years ago
I dont want the answer i just need help pls and thank you please view image
Elis [28]

I can help! With the Greatest Common Factor you figure out the greatest number that can go into all numbers. The number here would be the 2. You then divide 2 by all the numbers in the problem.
You would end up getting x^2 + 6x + 9


I use to struggle with this too. Hope this helps! Have a great day!!

6 0
2 years ago
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