Please help, what is the answer

How many permutations can be made with the letters in the word Metallica

pentagon [3]

<h3>Answer: 90720 </h3>

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Explanation:

There are 9 letters in "Metallica", so there would be 9! = 9*8*7*6*5*4*3*2*1 = 362880 different permutations; however, this is only the case if we could tell the letters L and A apart.

We have two copies of each of those repeated letters, so we have to divide by 2!*2! = (2*1)*(2*1) = 4 to account for these repeats.

Because we can't tell the repeated letters apart, we really have (9!)/(2!*2!) = (362880)/(4) = 90720 different permutations.

5 0

3 years ago

Somebody help me plz

larisa86 [58]

A is the correct answer

8 0

3 years ago

Read 2 more answers

Which equation is true when the value of x is -12

Sophie [7]

Answer:

Which equation is true when the value of x is -12 HERE YOU GO!!

Step-by-step explanation:

tricky ... let's see ...

I notice that if we subtract xy from both sides we get

7x + xy - xy = xy - xy + 21

then

7x = 21

and

x = 21/7 = 3

so there is only one value of x that satisfies the equation

x = 3

Going back to the original equation we see that any value of y will satisfy the original equation

we can see this by rearranging things:

7x + xy - xy = 21

here, I have performed the subtraction of xy on the right side as above, but have left the left side undone

(so we don't lose the presence of y)

Note that the above can also be written as

7x + (x - x)y = 21

or

7x + 0y =21

now, since anything times zero equals zero,

y may be any number.

Let's summarize:

1) x = 3

2) y = anything

looking back at the original question;

1) the equation is true for all ordered pairs

FALSE (only one x works, not all x)

2) there are no x and y pairs for which the equation is true.

FALSE (x=3, y=anything) makes it true, i.e. (3,1)

3) For each value of x, there is one and only one value of y that makes the equation true,

FALSE for each value of x, for the one value of x, x=3, y can be any number, which is an infinite number, not one

4) for each value of y, there is one and only on value of x that makes the equation true.

TRUE!! for all the infinite values of y you may pick, there is one and only one x you may pick, x = 3

ANSWER: STATEMENT 4 is CORRECT (TRUE)

3 0

3 years ago

A cylindrial hole is cut through the cylinder below.

Vika [28.1K]

Answer:

V=1884 Cubic mm

Step-by-step explanation:

We know that the volume of the Sphere is given by the formula

$V= \pi r^2h$

Where r is the radius and h is the height of the cylinder

We are asked to determine the radius of the hollow cylinder , which will be the difference of the solid cylinder and the cylinder being carved out.

$V=V_1-V_2$

$V=\pi r_1^2 \times h-\pi r_2^2 \times h$

$V=\pi \times h \times (r_1^2-r_2^2)$

Where

$V_1$ is the the volume of solid cylinder with radius $r_1$ and height h

$V_2$ is the volume of the cylinder being carved out with radius $r_2$ and height h

where

$r_1 = 7$ mm ( Half of the bigger diameter )

$r_2 = 5$ mm ( Half of the inner diameter )

$h=25$ mm

Putting these values in the formula for V we get

$V=\pi \times 25\times (7^2-5^2)$

$V=3.14 \times 25 \times(49-25)$

$V=3.14 \times 25 \times 24$

$V= 1884$

3 0

3 years ago

Don’t mind my answer pls help I am so confused

Kruka [31]

Answer:

2.2

Step-by-step explanation:

This is because you can use long divison on paper, 25 goes in 50 2 times so it would be remaining with 5 and since you need no remainers bring down a zero which gives you an extra 50 and 25 goes in 50 2 times so 2.2

5 0

2 years ago