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2 years ago

Simplify the expression below. (2n/6n+4)(3n+2/3n-2)What is the numerator of the simplified expression?

Mathematics

2 answers:

elena55 [62]2 years ago

7 0

Answer:

Step-by-step explanation:

$(\frac{2n}{6n+4})(\frac{3n+2}{3n-2})$

We see that in the first rational expression, both the numerator and denominator are divisible by 2. This means we can factor a 2 out of the top and bottom and then cancel it:

$(\frac{2(n)}{2(3n+2)})(\frac{3n+2}{3n-2})\\\\=(\frac{n}{3n+2})(\frac{3n+2}{3n-2})$

Now we can multiply straight across:

$\frac{n(3n+2)}{(3n+2)(3n-2)}$

Since we have the same factor on the top and bottom, this factor cancels:

$\frac{n}{3n-2}$

The numerator is n.

photoshop1234 [79]2 years ago

3 0

(2n/6n+4)(3n+2/3n-2)
=2n(3n+2)/(6n+4)(3n-2)
=(6n^2 + 4n)/(18n^2 - 12n + 12n -8)
=(6n^2 + 4n)/(18n^2 - 8)
=2(3n^2 + 2n)/2(9n^2 - 4)
=(3n^2 + 2n)/(9n^2 - 4)
=n(3n+ 2)/(3^2 × n^2 - 2^2)
=n(3n+ 2)/(3n-2)(3n+2)
=n/(3n-2)
Answer:The numerator of the simplified expressions is n.

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Answer:

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Step-by-step explanation:

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3 years ago

A normal random variable with mean and standard deviationboth equal to 10 degrees Celsius. What is the probability that the temp

Korvikt [17]

Answer:

0.57142

Step-by-step explanation:

A normal random variable with mean and standard deviation both equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?

We are told that the Mean and Standard deviation = 10°C

We convert to Fahrenheit

(10°C × 9/5) + 32 = 50°F

Hence, we solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 59 °F

μ is the population mean = 50 °F

σ is the population standard deviation = 50 °F

z = 59 - 50/50

z = 0.18

Probability value from Z-Table:

P(x ≤59) = 0.57142

The probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit

is 0.57142

4 0

2 years ago

HELP PLEASE ON 13- A, B, C<br><br>Can anyone tell me if the ones I did are right

KiRa [710]

13a.) If you're dividing and the base (in this case the base is 10) is the same, subtract the exponents.
${10}^{7} \div {10}^{5} = {10}^{7 - 5} = {10}^{2}$
13b.) If you're multiplying and the base is the same, then you add the exponents:

${s}^{2} \times {s}^{3} \times s = {s}^{2 + 3 + 1} = {s}^{6}$
13c.) This is similar to 13b:

${6}^{4} \times {6}^{3} \times 6 = {6}^{4 + 3 + 1} = {6}^{8}$

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2 years ago

According to the National Oceanic and Atmospheric Administration, the blue whale is the largest animal on Earth. Blue whales wei

Ugo [173]

Answer:

According to the passage, whales weight 300,000 pounds on average. Narwhales weigh 2,000 pounds on average.

Step-by-step explanation:

Since the question is extremely vague, I'll just answer what's the weight of whales and the weight of narwhals.

According to the paragraph, blue whales weigh 3× $10^{5}$ pounds.

This is what we call scientific notation. You could solve it normally, or you could use a faster method.

Scientific notation states that the first number that you see, the three, is the first part of the answer. The exponent on the number of zero's that there is.

That means that the answer to 3× $10^{5}$ you get 300,000.

Let's do the same thing to Narwhales.

2× $10^{3}$ is 2,000.