Please help with this algebra question

The perimeter of a given rectangle is equal to the circumference of a given circle. The circle has radius 30 inches; the width o

Arte-miy333 [17]

The answer to this question will be E

7 0

3 years ago

Read 2 more answers

0/1 For positive integer n, n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?. What is the value of 4# · 3# · 2# · 1#?

MakcuM [25]

Answer:

331776

Step-by-step explanation:

Since n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?

Then 4# = 4? · (4 − 1)? · (4 − 2)?· 1?

= 4? · 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 4? = 4! · (4 − 1)! · (4 − 2)! · 1! = 4! · 3! · 2! · 1! = 288

Thus, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Also, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 4# = 4? · 3? · 2?· 1? = 288 × 12 × 2 × 1 = 6912

We now find 3#

3# = 3? · (3 − 1)? · 1? = 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Thus, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 3# = 3? · 2?· 1? = 12 × 2 × 1 = 24

We now find 2#

2# = 2? · (2 − 1)? · 1? = 2? · 1?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 2# = 2?· 1? = 2 × 1 = 2

We now find 1#

1# = 1? · 1? = 1? · 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

And, 1# = 1? · 1? = 1 × 1 = 1

So, 4# · 3# · 2# · 1#? = 6912 · 24 · 2 · 1? = 331776

7 0

2 years ago

PLSSSSSS HELPPPP PLSSSSS 70 POINTSSSS PLSSSSSS

KiRa [710]

Answer:

hhnbvgbcdfgggffffffff

5 0

2 years ago

Translate this sentence into an equation.<br> 108 is the product of Carlo's age and 6.

NeTakaya

Answer:

Step-by-step explanation:

Let Carlo's age = x

Equation: 6*x = 108

6x = 108

Solution:

6x = 108

x = 108/6

x = 18

Carlo's age = 18 years

8 0

2 years ago

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A box contains four red, three blue, and six green lenses. two lenses are randomly selected from the box. find the probability o

andrew-mc [135]

The probability of getting two red lenses when two are selected will be 2/13.

<h3>What is probability?</h3>

The probability of favorable events to the total number of occurrences.

A box contains four red, three blue, and six green lenses.

Two lenses are randomly selected from the box.

Then the probability of getting two red lenses when two are selected if the first selection is not replaced before the second selection is made will be

The total number of the event will be

Total event = ¹³C₂

Total event = 78

Then the favorable event will be

Favorable event = ⁴C₁ x ³C₁

Favorable event = 4 x 3 = 12

Then we have

P = 12 / 78

P = 2/13

More about the probability link is given below.

brainly.com/question/795909

#SPJ1

6 0

1 year ago