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rjkz [21]
2 years ago
13

Please help fast mathswatch!! I

Mathematics
2 answers:
netineya [11]2 years ago
4 0

Answer:

<h2><u><em>288 cm³</em></u></h2>

Step-by-step explanation:

find the volume of one and multiply by six

6 * 2 * 2 * 12 =

288 cm³

SSSSS [86.1K]2 years ago
3 0

Answer:

288 cm^3

Step-by-step explanation:

The formula for a volume of a prism is Base x Height.

In this question, the base is the shape that is made of 6 identical squares, and the height is 12cm.

First, let's start by finding the area of the base. One square is 2 x 2, which is 4. Since there are 6 of those, we multiply 4 and 6. That equals 24cm^2.

We can know that 24cm^2 is the area of the base.

Since the height is 12cm, we can multiply 24 and 12. 24 x 12 is 288, so that is our final answer!

The volume of the prism given is 288^3.

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Mr. Goldstein is 4 times as old as his daughter Anna. In 4 years, he will be 3 times as old as Anna. How old is Anna now?
trasher [3.6K]

Lets Anna's age = A

Mr. Goldstein age = G

Mr. Goldstein is 4 times as old as his daughter Anna.

So G= 4A

In 4 years, he will be 3 times as old as Anna

we add 4 with Both their ages

G + 4  = three times of A + 4

G + 4= 3(A + 4)

We know G= 4A, replace it in above equation

4A + 4= 3(A + 4)

4A + 4= 3A + 12

Subtract 3A from both sides

A + 4 = 12

Subtract 4 from both sides

A = 8

So Anna's age = 8 years


6 0
3 years ago
Of the 9-letter passwords formed by rearranging the letters AAAABBCCC (4 A's, 2 B's, and 3 C's), I select one at random. Determi
Tanya [424]

Answer:

a) 3

b) (8!/9!)-(7!/9!)

c) (1-(8!/9!))*(7!/9!)

Step-by-step explanation:

a)With 4 As ;  2Bs and 3Cs it is possible to get a palindrome if you fixed the  letters C according to: (2) in the extremes of the word and the other one at the center therefore you only have palindrome in the following cases

<u>C</u> (       ) <u>C</u> (       ) <u>C</u>

To fill in the gaps we have  4 letters  A and 2 letters B, wich we have two divide in two palindrome gaps,  

AAB         and    BAA the palindrome is  C  AAB C BAA C

BAA         and    AAB    "           "           is  C  BAA C AAB C  

ABA         and    ABA    "           "           is  C  ABA C ABA C

b) 4 A  ;   2B  ; 3C

We have the total number of elements  9, so the total number of possible outcomes is : 9!

Total events: 9!

if we fixed 3 C we have (the group of 3 Cs becoming one element) so the total amount of events with 3 adjacent Cs is: 7!

Therefore the probability of having 3 adjacent Cs is: 7!/9!

If we fixed only 2 Cs we have:

4 A  ; 2 B  ; 2C  : 1C

Total number of words (events) in this case is 8! (2C becomes 1 element)

so the total numbers of events is 8! the probability in this case is 8!/9!(this value includes cases of adjacent 3 Cs previous calculated ) so this value minus the case of 3 adjacent Cs ) give us 2 adjacent C and the other no next to them

Probability (of words with 2 adjacent Cs and the other no next to them is); 8!/9! - 7!/9!

c) Probability of B apart from each other is the whole set of events minus those where 2 B are adjacent or (become 1 element)

4 A ; 2B ; 3C

Total of events 9! and events with adjacent B is 8!/9!

Therefore the probability of words with 3 adjacent Cs and 2 B separeted is

the probability of 3 adjacent Cs (7!/9!) times probability of words with no adjacent Bs wich is (1-(8!/9!))*(7!/9!)

5 0
3 years ago
2x^2y^3z^2 · 4xy^4x^2<br><br> Multiply and simplify
Advocard [28]

Take out the constants

(2 × 4)x^2xx^2y^3y^4z^2

Simplify 2 × 4 to 8

8x^2xx^2y^3y^4z^2

Use the Product Rule: x^ax^b = x^a + b

8x^2 + 1 + 2y^3 + 4z^2

Simplify 2 + 1 + 2 to 5

8x^5y^3 + 4z^2

Simplify 3 + 4 to 7

<u>8x^5y^7z^2</u>

6 0
3 years ago
You buy five books that are equal in
Vinil7 [7]

Answer:

$3.50

Step-by-step explanation:

$17.50/5 = $3.50. This means the cost of one book is $3.50.

7 0
3 years ago
Find the equation of the line with slope -2 which goes through the point (-6,-9).
Elena L [17]
(y+3) = −6(x+9) Or y = −6x−57
4 0
3 years ago
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