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3 years ago

I need help on these questions can u make sure u do all of them cuz some people just only do one problem.

Mathematics

2 answers:

NARA [144]3 years ago

8 0

The answer to this would be eighteen

charle [14.2K]3 years ago

5 0

Answer:

Ans. = 18

Step-by-step explanation:

= -1 (-1)(-3)(-6)

= 1×18

=18

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The following parts refer to the letters: LAMEFIREALARM. Recall that "word" means distinguishable letter arrangements. (a) How m

larisa86 [58]

Answer:

Step-by-step explanation:

The word "LAMEFIREALARM" word consists of

2L , 2M, 2E , 2R , 3A , F and I

no of words with the above letters such that M's are not together

=Total No of words- M's are together

Total no of words $=\frac{13!}{4\times 2!\times 3!}=64,864,800$

When M's are together . considering 2 M's as one

therefore there are $\frac{12!}{3\times 2!\times 3!}=9,979,200$

No of ways $=\frac{13!}{4\times 2!\times 3!}-\frac{12!}{3\times 2!\times 3!}=54,885,600$

(b)No of ways such that M's are separated by at least 2 letters

at least 2 letter means 2 letter, 3 letter ......11 letters

So we have to subtract no of ways where there are 1 letter in between M's from total no of ways where 2 M's are not next to each other

No of ways in which there is 1 letter between 2 M's

This can be done by considering 11 cases

In first case Place first M in Starting Position and 2 M on third place

Second case place First M in 2 nd Position and second M on 4 th place

Similarly For 11th case

Place first M in 11th place and second M on 13th place

Total ways

$=\frac{11\times 11!}{3!\times 2!\times 2!\times 2!}$

So , the total number of arrangements of the letters of the word LAMEFIREALARM where the two M's are separated by atleast two letters is

$=\frac{13!}{4\times 2!\times 3!}-\frac{12!}{3\times 2!\times 3!}-\frac{11\times 11!}{3!\times 2!\times 2!\times 2!}$

$=45738000$

7 0

3 years ago

A second bag of 40 marbles contains 11 red marbles, 9 blue marbles and 20 green marbles.

Goryan [66]

Answer:

Where is the first bag? We cant solve the question without knowing the marbles in the first bag

8 0

3 years ago

Read 2 more answers

Add (2x + 2) and (4x – 7)

natta225 [31]

The right answer is 6x + 5

4 0

3 years ago

.<br> Put f(x) = x2 + 3 in y2.

saveliy_v [14]

Answer:

(X2+3)2

Step-by-step explanation:

First, you have to substitute in what f(x) equals for y since f(x) stands for y.

By doing this, the equation turns into (x2+3)2, because x2+3 is y, and 2 because the original equation way y2.

After you substitute, the answer is (x2+3)2.

5 0

3 years ago

What is the volume of a certain cube? (1) The sum of the lengths of the edges of the cube is 36. (2) The surface area of the cub

german

Answer:

(1) The sum of the lengths of the edges of the cube is 36.

A cube has 12 equal edges. Sum = 36. Length of each edge = 36/12 = 3

Volume = 3*3*3 = 27

(2) The surface area of the cube is 54.

A cube has 6 identical faces. Area of each face = s^2 (s is the length of the side)

6s^2 = 54

s = 3

Volume = 3*3*3 = 27

Step-by-step explanation:

All you need to uniquely define a cube is any one measurement - length of a side/edge, area of a surface, volume etc. If you have any one of them, you can uniquely determine the others. So each statement alone is sufficient here.

To show how,

(1) The sum of the lengths of the edges of the cube is 36.

A cube has 12 equal edges. Sum = 36. Length of each edge = 36/12 = 3

Volume = 3*3*3 = 27

(2) The surface area of the cube is 54.

A cube has 6 identical faces. Area of each face = s^2 (s is the length of the side)

6s^2 = 54

s = 3

Volume = 3*3*3 = 27

8 0

3 years ago