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3 years ago

Can someone help me? I am stuck on this question I would mean the world if u helped me! and tysm for the people who helped me!

Mathematics

1 answer:

DedPeter [7]3 years ago

3 0

Believe it’s 150/15 or 50/1 :>

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20 POINTS HELPPPPP

kiruha [24]

For this case we have the following expression:

$\frac {216 ^ {n-2}} {(\frac {1} {36}) ^ {3n}} = 216$

We multiply both sides by: $(\frac {1} {36}) ^ {3n}$

$216 ^ {n-2} = 216 * (\frac {1} {36}) ^ {3n}$

We divide both sides by 216:

$\frac {216 ^ {n-2}} {216} = (\frac {1} {36}) ^ {3n}$

To divide powers of the same base, we place the same base and subtract the exponents:

$216 ^ {n-2-1} = (\frac {1} {36}) ^ {3n}\\216 ^ {n-3} = (\frac {1} {36}) ^ {3n}$

Rewriting:

$(6 ^ 3) ^ {n-3} = (\frac {1} {6 ^ 2}) ^ {3n}\\6 ^ {3n-9} = \frac {1} {6 ^ {6n}}\\6^{ 3n-9} * 6^{ 6n} = 1$

To multiply powers of the same base, we place the same base and add the exponents:

$6^{ 3n-9 + 6n} = 1\\6^{ 9n-9} = 1$

We know that any number raised to zero is 1, $a ^ 0 = 1.$

So, for equality to be true:

$9n-9 = 0\\9n = 9\\n = \frac {9} {9}\\n = 1$

Answer:

$n = 1$

3 0

3 years ago

Read 2 more answers

The degree of the expression 4x^5y^mz is 10. What is the value of m?

geniusboy [140]

The correct answer is 4 :-)

4 0

3 years ago

Read 2 more answers

Simply the following expressions:

Lapatulllka [165]

Answer:

6.  (2x - 1) 

(3x + 2)

8.  y - 3 

y² - 3y + 9

Step-by-step explanation:

6. 2x² + 9x - 5

3x² + 17x + 10

= (2x - 1) (x + 5)

3x² + 17x + 10

= (2x - 1) (x + 5)

(3x + 2) (x + 5)

=  (2x - 1) 

(3x + 2)

8. y² - 9

y³ + 27

= (y + 3) (y - 3)

y³ + 27

= (y + 3) (y - 3)

(y+3) (y² - 3y + 9)

=  y - 3 

y² - 3y + 9

5 0

3 years ago

Read 2 more answers

13ab+15ab I’m in 6th grade and I need big help

MatroZZZ [7]

$28ab$

Hope it helps

4 0

3 years ago

Read 2 more answers

Use the numbers from the original example: $1,000 invested at a 2% interest rate compounded n times per year. Compare the change

damaskus [11]

Given:
P₀ = $1000, the principal
r = 2% = 0.02, the APR

Let the duration be 1 year
n = number of compounding intervals per year.
The value after 1 year is
$A=P_{0}(1 + \frac{r}{n} )^{nt} = 1000(1+ \frac{0.02}{n})^{n}$

The following table shows the results obtained from the calculator.

n A
------ ------------------
1 1020.00000
4 1020.15050
12 1020.18436
52 1020.19742
365 1020.20078

4 0

3 years ago