Eqyivalent expresion to 3√m^2n^5

Answers

Answer 1

Answer: The first step to solving this expression is to factor out the perfect cube
$\sqrt[3]{m^(2) n^(3) X n^(2) }$
The root of a product is equal to the product of the roots of each factor. This will make the expression look like the following:
$\sqrt[3]{ n^(3) }$ $\sqrt[3]{ m^(2) n^(2) }$
Finally,, reduce the index of the radical and exponent with 3
n $\sqrt[3]{ m^(2) n^(2) }$
This means that the correct answer to your question is n $\sqrt[3]{ m^(2) n^(2) }$ .
Let me know if you have any further questions
:)

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If 5x+4y=23 and 4x+5y=22, then what is the value of (x + y)

Answers

Answer:

x=3 and y=2

Step-by-step explanation:

I plugged in a lot of numbers until it worked out.

5(3) + 4(2) = 15+8 which equals 23

then 4(3) + 5(2) = 12+10 which equals 22.

hope that helps!

x=3 and y=2

3+2=5

yay

A boat travels 39 miles in 4 hours and 20 minutes. What is the speed of the boat in miles per hour?

Answers

Answer:

9.01 miles in 1 hour

Step-by-step explanation:

to get the answer first u need to do is turn the 20 mins to hours

well we can also turn the hour to mins and then turn it into hours

260 mins= 4.33 hours (rounded)

then 39/4.33= x/1

divided the top and bottom by 4.33

9.01/4.33 (rounded)

How do you find the equation of the line in standard form that is perpendicular to the line y=3x+2 and passes through (-1, 5)please help!!!

Answers

$y=mx+b \perp y=3x+2 \n\Downarrow \hbox{the product of the slopes is -1} \nm * 3=-1 \nm=-(1)/(3) \n y=-(1)/(3)x+b \n \n(-1,5) \nx=-1 \ny=5 \n \Downarrow \n5=-(1)/(3) * (-1) + b \n5=(1)/(3)+b \n5-(1)/(3)=b \n(15)/(3)-(1)/(3)=b \nb=(14)/(3) \ny=-(1)/(3)x+(14)/(3) \n \ny=-(1)/(3)x+(14)/(3) \n(1)/(3)x+y=(14)/(3) \ \ \ |* 3 \n\boxed{x+3y=14}$

A perpendicular line has a slope that is the negative reciprocal of the line it's crossing. The negative reciprocal of 3 is -(1/3).

y=mx+b
5=-(1/3)(1)+b
5=(1/3)+b
4(2/3)=b

your final answer is:
y=(1/3)x+4(2/3)

PLSSSSSSSSSSS HEEEEEELP????The mean of a set of normally distributed data is 600 with a standard deviation of 20. What percent of the data is between 580 and 620?

Answers

Answer:

The percentage of the data between 580 and 620 is 68.26 %

Step-by-step explanation:

Given,

Mean, $\mu$ = 600,

Standard deviation, $\sigma$ = 20,

Using the equation,

$z-score=(x-\mu)/(\sigma)$

Z-score for the data 580 = $(580-600)/(20)$

$=(-20)/(20)$

$=-1$

While, the z-score for the data 620 = $(620-600)/(20)$

$=(20)/(20)$

$=1$

Using normal distribution table,

P(580 < z) = 0.1587

Also, P(620 > z) = 0.8413

Hence, the percent of the data is between 580 and 620 = P(620 > z) - P(580 < z)

= 0.8413 - 0.1587

= 0.6826

= 68.26 %

z = (X-Mean)/SD
z1 = (580-600)/20 = - 1
z2 = (620-600)/20 = + 1
According to the Empirical Rule 68-95-99.7
Mean +/- 1*SD covers 68% of the values
Therefore, required percent is 68%
hopes this help :) :D :)

Two times x divide five

Answers

Answer:

2x/5

Step-by-step explanation:

Carlton and Will went fishing together. Carlton caught 21 bass and 7 walleye. Will caught 13 bass and 8 walleye. How many more fish did Carlton catch than Will?

Answers

Answer:

Step-by-step explanation:

Fish caught by Carlton= 21+7=28

Fish caught by Will= 13+8=21

Therefore, Carlton caught more fish

By how much=28-21=7

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