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1 year ago

If 36^12-m = 6^2m, what is the value of m? =

Mathematics

2 answers:

elena55 [62]1 year ago

8 0

Answer:

<em>The answer to your question is </em><em>m = 6</em>

Step-by-step explanation:

<u><em>I hope this helps and have a good day!</em></u>

gulaghasi [49]1 year ago

5 0

Answer:

36^12 - m = 6^2m

6^2(12 - m) = 6^2m

24 - 2m = 2m

24 = 4m

m = 6

You might be interested in

14) x - 27 0<br> 3<br> X^3-27=0<br> X^3-27=0

Inessa [10]

Answer:

For the top equation, x = 27 (I think you meant to put x - 27 = 0. If not, I can always edit my answer for you)

For the bottom, x = 3

Hope this helps! Have a grrrreat day lol

5 0

3 years ago

If you buy tomato sauce for $.90 a quart how much does it cost for 5 pints

Dima020 [189]

<h2>Hello!</h2>

The answer is: the price of 5 pints of tomato sauce is $2.25.

To calculate how much does it cost 5 pints, we need to perform a unit conversion with the following unit relationship:

$0.5Quart=Pints$

Now, calculating how much is a pint:

$\frac{0.9}{quarter}*\frac{0.5Quart}{1Pint}=0.45$

A pint is $0.45.

Then, calculating how much are 5 pints:

$Price=0.45*NoOfPints=0.45*5=2.25$

Hence, the price of 5 pints of tomato sauce is $2.25.

Have a nice day!

8 0

3 years ago

Write this ratio as a fraction in the simplest form 3 feet to 63 inches

Andrei [34K]

Answer:

4:7

Step-by-step explanation:

Okay, so first convert the feet to inches so 3x12=36. So the it's 36:63. Then if you simplify it you get 4:7.

3 0

3 years ago

Solve 7x - 2z = 4- xy for x.

ExtremeBDS [4]

Answer:

Step-by-step explanation:

7x + -2z = 4 + -1xy

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'xy' to each side of the equation.

7x + xy + -2z = 4 + -1xy + xy

Combine like terms: -1xy + xy = 0

7x + xy + -2z = 4 + 0

7x + xy + -2z = 4

Add '2z' to each side of the equation.

7x + xy + -2z + 2z = 4 + 2z

Combine like terms: -2z + 2z = 0

7x + xy + 0 = 4 + 2z

7x + xy = 4 + 2z

Reorder the terms:

-4 + 7x + xy + -2z = 4 + 2z + -4 + -2z

Reorder the terms:

-4 + 7x + xy + -2z = 4 + -4 + 2z + -2z

Combine like terms: 4 + -4 = 0

-4 + 7x + xy + -2z = 0 + 2z + -2z

-4 + 7x + xy + -2z = 2z + -2z

Combine like terms: 2z + -2z = 0

-4 + 7x + xy + -2z = 0

8 0

3 years ago

Consider a system with one component that is subject to failure, and suppose that we have 115 copies of the component. Suppose f

castortr0y [4]

Answer:

Step-by-step explanation:

From the given information:

the mean $(\mu) = 115 \times 20$

= 2300

Standard deviation = $20 \times \sqrt{115}$

Standard deviation (SD) = 214.4761

TO find:

a) $P(x > 3500)= P(Z > \dfrac{3500-\mu}{214.4761})$

$P(x > 3500)= P(Z > \dfrac{3500-2300}{214.4761})$

$P(x > 3500)= P(Z > \dfrac{1200}{214.4761})$

$P(x > 3500)= P(Z >5.595)$

From the Z-table, since 5.595 is > 3.999

$P(x > 3500)=1-0.9999$

P(x > 3500) = 0.0001

Here, the replacement time for the mean $(\mu) = \dfrac{0+0.5}{2}$

= 0.25

Replacement time for the Standard deviation $\sigma = \dfrac{0.5-0}{\sqrt{12}}$

$\sigma = 0.1443$

For 115 component, the mean time = (115 × 20)+(114×0.25)

= 2300 + 28.5

= 2328.5

Standard deviation = $\sqrt{(115\times 20^2) +(114\times (0.1443)^2)}$

= $\sqrt{(115\times 400) +(114\times 0.02082249}$

= $\sqrt{(46000) +2.37376386}$

= $\sqrt{(46000) +(2.37376386)}$

= $\sqrt{46002.374}$

= 214.482

Now; the required probability:

$P(x > 4125) = P(Z > \dfrac{4125- 2328.5}{214.482})$

$P(x > 4125) = P(Z > \dfrac{1796.5}{214.482})$

$P(x > 4125) = P(Z >8.376)$

$P(x > 4125) =1- P(Z$

From the Z-table, since 8.376 is > 3.999

P(x > 4125) = 1 - 0.9999

P(x > 4125) = 0.0001

7 0

2 years ago