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3 years ago

Which expression is equivalent to (4∧5/4 x 4∧1/4 / 4∧1/2)∧1/2

Mathematics

1 answer:

STatiana [176]3 years ago

8 0

Answer:

Step-by-step explanation:

(4^5/4 x 4^1/4 / 4^1/2)^1/2

= (4^(5/4 + 1/4 - 1/2))^1/2

= 4^1/2

= √4

= 2

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If a cylinder with height 9 inches and radius rr is filled with water, it can fill a certain pitcher. How many of these pitchers

katrin2010 [14]

Answer:

9 pitchers

Step-by-step explanation:

Given

Cylinder 1:

$Radius = r$

$Height = 9$

Cylinder 2:

$Radius = 3r$

$Height = 9$

Required

How many pitchers' cylinder 2 can fill

First, we calculate the volume of both cylinders

Volume is calculated as:

$Volume = \pi r^2h$

For A:

$V_A = \pi r^2*9$

$V_A = 9\pi r^2$

For B:

$V_B = \pi (3r)^2 * 9$

$V_B = \pi *9r^2 * 9$

$V_B = 9* 9\pi r^2$

In (a): $V_A = 9\pi r^2$

So, we have ve:

$V_B = 9*V_A$

$V_B = 9V_A$

<em>If the first cylinder can fill 1, then the second can fill 9 pitchers</em>

7 0

3 years ago

A graph titled Passing Statistics has pass attempts on the x-axis, and yards on the y-axis. A line goes through points (24, 127)

bogdanovich [222]

Answer:

1/3x

Step-by-step explanation:

Subtract x by x and y by y to find the distance/difference

36 163

24, 127

= 12/36 = rise/run

Now reduce to find the slope, reduce until you can't anymore.

12/36

6/18

3/9

1/3 (that's your slope)

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3 years ago

Last month, 17 people showed up to help a local charity. This month, 55 people volunteered. What is the percentage increase?

astra-53 [7]

Step-by-step explanation:

The formula for percent change is

change/original.

So let's subtract 17 from 55 to find the change. 55-17=38

This is the change. Now we divide it by the original, 17.

38/17=2.235294

We're not done yet! We have to move the decimal point over to the right 2 spaces to make it a percentage. So, the percentage increase is

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3 years ago

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jeyben [28]

I got 2 aces. one heart one spade. a jack of clubs a joker and a partrige in a pear tree.<span />

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3 years ago

Solving this system using substitution: 2x+6y=28/y=-5x

AnnyKZ [126]

X=-1 and y=5
As when u replace the values x will give you negative 1 and when u replace negative 1 in y=-5x you get 5

7 0

3 years ago