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3 years ago

PLEASE HELP Graph 4x + y = 6x - 1 Show your work AND explain the method used to determine the graph

Mathematics

1 answer:

Anna007 [38]3 years ago

3 0

Answer:

y=2x-1

Step-by-step explanation:

y= 6x-1-4x

y=2x-1

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1. Sand falling from a chute forms a conical pile whose altitude is always equal to 4/3 the radius of the base. (a) How fast is

solong [7]

Answer:

The volume is increasing at a rate of 16286 in³/min.

Step-by-step explanation:

a) The volume of a cone is given by:

$V = \frac{1}{3}h\pi r^{2}$

Where:

r: is the radius

h: is the height

The rate of change of the volume can be calculated by using the chain rule:

$\frac{dV}{dt} = \frac{\pi}{3}[\frac{dh}{dt}r^{2} + h\frac{d(r^{2})}{dt}]$

Since h = 4/3 r we have:

$\frac{dV}{dt} = \frac{\pi}{3}[\frac{d(\frac{4r}{3})}{dt}r^{2} + \frac{4r}{3}\frac{d(r^{2})}{dt}]$

$\frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + r\frac{d(r^{2})}{dt}]$

$\frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + 2r^{2}\frac{dr}{dt}]$ (1)

With:

$\frac{dr}{dt}$ = 3 in/min

$r = 3 ft*\frac{12 in}{1 ft} = 36 in$

And by entering the above values into equation (1) we have:

$\frac{dV}{dt} = \frac{4\pi}{9}[(3 in/min)*(36 in)^{2} + 2*(36 in)^{2}*3 in/min]$

$\frac{dV}{dt} = 16286 in^{3}/min$

Therefore, the volume is increasing at a rate of 16286 in³/min.

I hope it helps you!

3 0

3 years ago

Your dinner at a restaurant costs $13.65 after you use a coupon for a 25% discount. You leave a tip for $3.00.

slamgirl [31]

Answer:

Step-by-step explanation:

cuz I said so also show me your cake

3 0

3 years ago

What is the third quartile of this data set ? 14,18,20,21,25,32,40,44,48

kotykmax [81]

Step-by-step explanation:

Step 1 :

Given data set - 14,18,20,21,25,32,40,44,48

We need to get the 3rd quartile

Step 2 :

To find the quartile's , we have to divide the data set into 4 equal quarters.

The 3rd cut will give the 3rd quartile

Step 3:

The median of this data set is at 25, there are 4 numbers below and above it.

Now we take the 2nd half of the set , after the median and take the median of it.

There are 4 numbers in the 2nd half 32,40,44,48. Cutting this into 2 , we have the cut to fall between 40 and 44. Hence taking the average of this will give the 3rd quartile.

The average of 40 and 44 is 42 .

Hence the 3rd quartile is 42.

7 0

3 years ago

If an^2 =b then in terms of a and b , n=?

kompoz [17]

Answer:

√b/a

Step-by-step explanation:

an^2 =b
n^2=b/a
n=√b/a

4 0

3 years ago

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Solve the right triangle below. Round all your answers to the nearest tenth. Measure of angle Z = ______

valentina_108 [34]

Answer:

$Measure \: of \: angle \: z = \boxed{ \tt{ 19.5\degree}}$

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2 years ago