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Alenkasestr [34]
3 years ago
11

Suppose the desks are arranged in rows of 4. how many seating arrangements are there that put larry, moe, curly, and shemp in th

e front seats? there are
Mathematics
1 answer:
Paul [167]3 years ago
7 0

4!=24

..............

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Sandra calculated the height of a cylinder that has a volume of 576 pi cubic centimeters and a radius of 8 centimeters. Her work
r-ruslan [8.4K]

Answer:

The error was made in step 4, \pi should have also been cancelled making the correct answer as 9 cm.

Step-by-step explanation:

Given that:

Volume of cylinder, V = 576 \pi\ cm^3

Radius of cylinder, r = 8 cm

To find:

The error in calculating the height of cylinder by Sandra ?

Solution:

We know that volume of a cylinder is given as:

V = B h

Where B is the area of circular base and

h is the height of cylinder.

Area of a circle is given as, B = \pi r^2

Let us put it in the formula of volume:

V = \pi r^2 h

Step 1:

Putting the values of V and r:

576\pi = \pi 8^2 h

So, it is correct.

Step 2:

Solving square of 8:

576\pi = \pi \times 64\times  h

So, step 2 is also correct.

Step 3:

h=\dfrac{576\pi}{64 \pi} = \dfrac{64 \pi \times 9}{64\pi}

Step 4:

Cancelling 64 \times \pi,

h = 9 cm

So, the error was made in step 4, \pi should have also been cancelled making the correct answer as 9 cm.

3 0
3 years ago
I forgot how to do these, could somebody explain.<br> 30 points for both
Aleonysh [2.5K]

Answer:

11) A

12) B

Step-by-step explanation:

11) 10x² + 1 = 0

Subtract 1 from both sides:

10x² = -1

Divide both sides by 10:

x² = -1/10

Take the square root of both sides:

x = ±√(-1) / √(10)

Remember that the square root of -1 is i:

x = ±i / √(10)

To rationalize the denominator, multiply top and bottom by √10.

x = ±i√(10) / 10

Answer is A.

12) 2v² + 8v + 6 = 0

Divide both sides by 2:

v² + 4v + 3 = 0

Use AC method or quadratic formula to factor:

(v + 1) (v + 3) = 0

Set each expression to 0:

v + 1 = 0 or v + 3 = 0

Solve:

v = -1 or v = -3

Answer is B.

7 0
3 years ago
PLEASE HELP WILL GIVE BRAINLY!!!!!!!!!!!!!!!!!!!!!Which equation, when graphed, has x-intercepts at (−1, 0) and (−5, 0) and a y-
leva [86]

Answer:

f(x) = −6(x + 1)(x + 5)

Step-by-step explanation:

f(x) = −6(x + 1)(x + 5) & f(x) = −5(x + 1)(x + 5) are the only ones on the correct side of the y-axis, and f(x) = −6(x + 1)(x + 5) has a y-intercept of -30.

7 0
3 years ago
Read 2 more answers
The dimensions of a rectangular prism are shown below: Length 2 1/4 ft | width 1 ft | height 1 1/4 ft.
zysi [14]

Answer:

  • See below

Step-by-step explanation:

<u>Dimensions given:</u>

  • l = 2 1/4 ft, w = 1 ft, h = 1 1/4 ft

A small cube has side of 1/4 ft

Find the number of small cubes can fit in each dimension of the prism.

<u>Length</u>

  • 2 1/4 : 1/4 = 9/4 * 4 = 9

<u>Width</u>

  • 1 : 1/4 = 1 *4 = 4

<u>Height</u>

  • 1 1/4 : 1/4 = 5/4 * 4 = 5

Part A

<u>Number of small cubes would be:</u>

  • 9*4*5 = 180

Part B

<u>Each small cube has volume:</u>

  • V = (1/4)³ = 1/64 ft³

The volume of the prism in terms of small cubes is 180 as we found above.

<u>The volume in terms of unit cube:</u>

  • V = 180*1/64 = 180/64 = 2 52/64 = 2 13/16 ft³ or 2.8125 ft³
4 0
2 years ago
Which expression is equivalent to (125^2/125^4/3)
raketka [301]
He answer is d which is 25
3 0
3 years ago
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