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3 years ago

Equivalent expression of (m^1/3m^1/5)^0

Mathematics

1 answer:

Lapatulllka [165]3 years ago

7 0

Answer:

$\large\boxed{\left(m^\frac{1}{3}m^\frac{1}{5}\right)^0=1\ \text{if}\ m\neq0}$

Step-by-step explanation:

$\text{We know}\\\\a^0=1\ \text{for all value of}\ a\ \text{except 0}\\\\\left(m^\frac{1}{3}m^\frac{1}{5}\right)^0=1\ \text{if}\ m\neq0$

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what is a linear equation that is parallel to the equation y=5x-4 and passes through the point (16,-12)

Contact [7]

Not sure if it's right but I tried:
(16,-12) assuming x=16,y=-12
y=5x-4
-12=5(16)-4
-12=240-4
-12=236
(Divide maybe?)
-12=236
236 divided 12= 19.6

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Ken paid $12 for two magazines. the cost of each magazines with a multiple of 3. what is the possible prices of the magazines

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Jill has a collection of bugs. Her collection contains butterflies and tarantulas. She has 47 bugs and counts 320 total legs. (N

prisoha [69]

Answer:

The solution to this system of equations is:

B = 28
T = 19

Step-by-step explanation:

We are given that Jill has 47 bugs and counts a total 320 legs.

We can concur that by adding the total number of butterflies and the total number of tarantulas, we will get 47 bugs.

$\text{tarantulas + butterflies} = 47$

We are also told that T is tarantulas and B is butterflies.

$T + B = 47$

Then, we also know that butterflies have 6 legs and tarantulas have 8 legs. So, for every tarantula, we get a multiple of 8 and for butterflies, we get a multiple of 6. This gives us a new equation:

$6B + 8T = 320$

Now, we can set up a system of equation.

$\displaystyle \left \{ {{B + T = 47} \atop {6B + 8T = 320}} \right.$

Using the first equation, we can solve for B.

$\displaystyle B + T = 47\\\\B + T - T = 47 - T\\\\B = 47 - T$

Then, we can substitute this value of B into the second equation and solve for T.

$\displaystyle 6(47-T)+8T=320\\\\282 - 6T + 8T = 320\\\\282 + 2T = 320\\\\2T + 282 = 320\\\\2T + 282 - 282 = 320 -282\\\\2T = 38\\\\\frac{2T}{2}=\frac{38}{2}\\\\T = 19$

Finally, we can substitute this value of T into the first equation to solve for B.

$B + 19 = 47\\\\B + 19 - 19 = 47 - 19\\\\B = 28$

Therefore, the solution to this system of equations is:

B = 28
T = 19

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Answer:

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3 years ago

Mike earns $15 for each hour he work plus a $25 bonus. How much does he earn in 10 hours of work?

MakcuM [25]

<h3>Hello there!</h3>

We are trying to find how much Mike earns when he worked for 10 hours

Lets make an equation out of the given information in the question.

We know that:

Earns $15 each hour
$25 bonus

We would format it as y = mx + b

Our equations would be y = 15x + 25

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Then, we can solve.

y = 15(10) + 25

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4 years ago