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galben [10]
3 years ago
14

Which expression is equivalent to min pg? mºn po m2

Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0

Answer:

The expression equivalent to (\frac{m^{5}n}{pq^{2}})^{4} is  \frac{m^{20}n^{4}}{p^{4}q^{8}} ⇒ C

Step-by-step explanation:

Let us use the exponent rule (a^{m})^{n} = a^{m.n}

∵ The expression  is (\frac{m^{5}n}{pq^{2}})^{4}

→ By using the rule above multiply the power of each letter by 4

∵ (m^{5})^{4} = m^{20}

∵ (n^{1})^{4} = n^{4}

∵  (p^{1})^{4} = p^{4}

∵ (q^{2})^{4} = q^{8}

→ Substitute them in the expression above

∴ (\frac{m^{5}n}{pq^{2}})^{4} = \frac{m^{20}n^{4}}{p^{4}q^{8}}

∴ The expression equivalent to (\frac{m^{5}n}{pq^{2}})^{4} is  \frac{m^{20}n^{4}}{p^{4}q^{8}}

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A flower takes 8 minutes to grow 5.2 inches. How many inches will the flower grow in 17 minutes?
svp [43]
11.05 inches.

EXPLANATION:

Firstly, lets see the unit rate for how many inches per minute.

5.2 divided by 8 is 0.65 inches every minute.

Now since there is 17 mins, simply do 0.65 inches per min x 17 mins.

11.05 inches.

Hope this helps!
5 0
3 years ago
If f(x) = + 8, what is f(x) when x = 10?<br> Help
Reptile [31]

Step-by-step explanation:

f(x) = + 8

x = 10?

f(10)= +8

no change

5 0
3 years ago
Read 2 more answers
2 1/3 + 3/7 divided by 2 1/3 x 1 3/7​
oee [108]

Answer: \frac{29}{35}

Step-by-step explanation:

1. Make sure all your denominators are the same, you can do this by multiplying them all by 3 or 7, 2 and 1/3 would become 2 7/21, 3/7 would become 9/21, 2 and 1/3, would become 2 and 7/21, and so on and so forth, leaving us with

2\frac{7}{21}+\frac{9}{21} / 2\frac{7}{21} * 1\frac{9}{21}

2. Now, I would go and solve each side of the equation because we divide them, we can add 2\frac{7}{21} and \frac{9}{21}  together to get  2\frac{16}{21}, because 7 + 9 = 16

2\frac{16}{21} / 2\frac{7}{21} * 1\frac{9}{21}

3. We can do the same thing to the other side, by multiplying the two of them. I'm going to convert both of them to just fractions, 2\frac{7}{21} becomes \frac{49}{21} and 1\frac{9}{21} becomes \frac{30}{21}

\frac{49}{21} *  \frac{30}{21}

Now we can reduce them, and for our first fraction divide the top and bottom by 7, giving us  \frac{7}{3} and the second one by 3, which gives us  \frac{10}{7}

\frac{7}{3} * \frac{10}{7} now we cross divide, where we replace the 7's with ones because they're right across from each other to get  \frac{1}{3} and  \frac{10}{1}, or just 10.

\frac{1}{3} * 10 =  \frac{10}{3}

4. So now we can do a similar thing with the first half of our equation and convert it into a fraction and not a mixed number.

\frac{58}{21} / \frac{10}{3}

Now we multiply divide them, and the easiest way I learned how to do this was by keep the first fraction in its place, and flipping the denominator and numerator of the second, and multiplying them.

so   \frac{58}{21} * \frac{3}{10} which if we multiply both sides, you get \frac{174}{210}

I'll save you some times and simplify it for you, the greatest common factor is 6 so we divide the top and bottom by 6 to get

\frac{29}{35}

4 0
2 years ago
Solve for x<br>8x - 20 4x + 32​
Alenkinab [10]

Answer:

13

Step-by-step explanation:

8x - 20 = 4x + 32​ ( F rule angles)

8x-4x=32+20

4x=52

x=52/4

x=13

7 0
2 years ago
1. What is the slope of the line tangent to the curve defined by y2 + xy - x2 = 11x at the point (2, 3)?
andreyandreev [35.5K]

Step-by-step explanation:

By using Implicit Differentiation,

d/dx (y² + xy - x²) = d/dx (11x)

d/dx (y²) + d/dx (xy) - d/dx (x²) = 11

2y * dy/dx + x * dy/dx + y - 2x = 11

dy/dx (2y + x) = 11 + 2x - y

dy/dx = (11 + 2x - y) / (2y + x).

At the point (2, 3), we have x = 2, y = 3.

=> dy/dx = (11 + 2(2) - (3)) / (2(3) + (2))

= 12 / 8 = 1.5.

P.S. Your question is weird because (2,3) is not on the graph, let me know what is the correct question thanks!

7 0
2 years ago
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