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8_murik_8 [283]
3 years ago
13

Please help and show all work so I can fully understand it, thanks.

Mathematics
1 answer:
seraphim [82]3 years ago
4 0

Answer:

\frac{1}{m-4}

Step-by-step explanation:

\frac{\frac{4m-5}{m^4 -7m^3 +12m^2}}{\frac{4m-5}{m^3 -3m^2}}

Factor the equation:

\frac{\frac{4m-5}{m^2(m^2 -7m+12)}}{\frac{4m-5}{m^2(m-3)}}

\frac{\frac{4m-5}{m^2(m-3)(m-4)}}{\frac{4m-5}{m^2(m-3)}}

Rewrite to suit the format of multiplying two fractions. Remember, dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second. A reciprocal of a fraction is when one switches the place of the numerator and the denominator, that is, the value on top (numerator), and the value on the bottom (denominator).

\frac{4m-5}{m^2(m-3)(m-4)}*\frac{m^2(m-3)}{4m-5}

Simplify, take out common terms that are found on both the numerator and denominator

\frac{4m-5}{m^2(m-3)(m-4)}*\frac{m^2(m-3)}{4m-5}

\frac{1}{m-4}

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In circle K, what is the value of x?
djyliett [7]

Answer:

18°

Step-by-step explanation:

A diameter cuts a circle into two arcs that are each 180°. An inscribed angle that intercepts an arc of 180° has a measure of 90°. Thus we have ...

... 5x = 90°

.. 90°/5 = x = 18°

8 0
3 years ago
The half-life of iron-52 is approximately 8.3 hours.How much of a 13 gram sample of iron-52 would remain after 8 hours? Round to
Alexandra [31]

6.665 grams of the 13 grams remain after 8 hours.

<h3>How much of a 13 gram sample of iron-52 would remain after 8 hours?</h3>

The decay equation for the 13 grams of iron-52 is:

N(t) = 13g*e^{(-ln(2)/8.3h)*t}}

Where N is the amount of iron-52, and t is the time in years.

Where we used the fact that the half-life is exactly 8.3 hours.

Now, the amount that is left is given by N(8h), so we just need to replace the variable t by by 8 hours, so we get:

N(8h) = 13g*e^{(-ln(2)/8.3h)*8h}} = 6.665g

So 6.665 grams of the 13 grams remain after 8 hours.

If you want to learn more about half-life:

brainly.com/question/11152793

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5 0
1 year ago
Which of the following is the simplified
Umnica [9.8K]

Answer:

C. 8a - 36

Step-by-step explanation:

a + 3a - 4(9-a)

a + 3a - 36 + 4a

8a - 36

4 0
3 years ago
Read 2 more answers
Identify the missing numbers below:
IRISSAK [1]

Answer:

A = 7.7

b = 26

Step-by-step explanation:

(3.5  \times 10^{16})(2.2  \times  10^{10}) = A  \times  10^b \\ 3.5 \times 2.2 \times 10^{16} \times 10^{10}= A  \times  10^b \\ 7.7 \times  {10}^{16 + 10} = A  \times  10^b \\ 7.7 \times  {10}^{26} = A  \times  10^b \\ equating \: like \: terms \: on \: both \: sides \\  A = 7.7  \\  10^b = {10}^{26}  \\  \implies \: b = 26

4 0
3 years ago
Please help! I Mark brainlest and say thanks<br><br>surface area question
Oduvanchick [21]
Area of the figure shaded in yellow = 2 x 3 + 2 x 6 = 18 cm²

Total Surface Area = 18 + 18 + (4 + 3 + 2 + 3 + 2 + 6) x 3 = 96 cm²

Answer: 96 cm²
7 0
2 years ago
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