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3 years ago

Please help !! 50 points !!

Mathematics

2 answers:

ddd [48]3 years ago

6 0

Answer:

x^50 y^8

Step-by-step explanation:

Okay so the way I like to explain this is that couples go outside and become one

All you have to do is divide each coefficient by 2 to get the value outside of the sq root symbol

so its

x^50 y^8

Illusion [34]3 years ago

5 0

Answer:

It is the second one from the top. Hope this helps!

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Related rates(calculus)

telo118 [61]

Answer:

The volume increases at a rate of $125663.71 mm^ 3 / s$

Step-by-step explanation:

The rate of change of the radius with respect to time is 4 mm / s.

So:

$\frac{dr}{dt} = 4mm / s$

Now we must find a relationship between the volume of a sphere and its radius.

The equation of the volume of a sphere is:

$V = \frac{4}{3}\pi r^ 3$

So:

$\frac{dV}{dt} = \frac{4}{3}\pi * 3r ^ 2 * \frac{dr}{dt}\\\frac{dV}{dt} = 4\pi r ^ 2 * 4\\\frac{dV}{dt} = 16\pi r ^ 2$

The diameter of the sphere is 100 mm. Therefore its radius is 100/2 = 50 mm.

So:

$\frac{dV}{dt} = 16\pi (50) ^ 2\\\frac{dV}{dt} = 40000\pi mm^3 / s$

The volume increases at a rate of :

40000 π mm ^ 3 / s = 125663.71 mm^3/s

7 0

3 years ago

What ratio is equivalent to 2:9

Lorico [155]

Answer:

8:36

Step-by-step explanation:

Factors: 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36

GCF: 4

8 ÷ 4 = 2 36 ÷ 4 = 9

6 0

3 years ago

The battery standby duration (in hours) of a new model of cell phone is known to be normally distributed. Ten pieces of such new

kap26 [50]

Answer:

$\mu = 47.17$

$\sigma = 2.31$

Step-by-step explanation:

Solving (a): The population mean

This is calculated as:

$\mu = \frac{\sum x}{n}$

So, we have:

$\mu = \frac{48.2+ 47.8 +45.6 +47.2 +49.3+51.2 +44.2 +45.4 +49.2 +43.6}{10}$

$\mu = \frac{471.7}{10}$

$\mu = 47.17$

Solving (b): The population standard deviation

This is calculated as:

$\sigma = \sqrt{\frac{\sum (x - \mu)^2}{n}}$

So, we have:

$\sigma = \sqrt{\frac{(48.2-47.17)^2 + (47.8-47.17)^2 +.........+(43.6-47.17)^2}{10}}$

$\sigma = \sqrt{\frac{53.521}{10}}$

$\sigma = \sqrt{5.3521$

$\sigma = 2.31$

4 0

3 years ago

7 feet 8 1/2 inches minus 6 feet 2 3/4 inches equals?

Marat540 [252]

Answer:

The answer is 1 foot and 5.75 inches.

Step-by-step explanation:

6 0

3 years ago

HELP ME GRAPH THIS<br> (slope problem )

hichkok12 [17]

Answer:

y = -5x - 19

Explanation:

y = mx +b

-4 = -5(-3) + b

-4 = 15 + b

-19 = b

y = -5x - 19

4 0

4 years ago