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3 years ago

How many different 6 letter words can be made from the word SMOOTH?

Mathematics

1 answer:

shutvik [7]3 years ago

8 0

Answer:

Step-by-step explanation:

But you can make 5 letter words, 4, 3, and 2, just no 6 letters.

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Carla had $100 in her account in May. How much money does she have in her account in August?

pentagon [3]

Carla still has $100 because she didn't get any more money in the other months

6 0

2 years ago

Read 2 more answers

An NFL coach sometimes uses a defense that utilizes 3 defensive linemen, 4 linebackers, and 4 defensive backs. His roster (the p

Alexandra [31]

Answer:

68,600

Step-by-step explanation:

The order of the players is not important. For example, a defensive line of Shaq Lawson, Ed Oliver and Jerry Hughes is the same as a defensive line of Ed Oliver, Shaq Lawson and Jerry Hughes. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Defensive Lineman:

3 from a set of 8. So

$C_{8,3} = \frac{8!}{3!5!} = 56$

56 combinations of defensive lineman

Linebackers:

4 from a set of 7. So

$C_{7,4} = \frac{7!}{4!3!} = 35$

35 combinations of linebackers

Defensive backs:

4 from a set of 7. So

$C_{7,4} = \frac{7!}{4!3!} = 35$

35 combinations of defensive backs

How many different ways can the coach pick the 11 players to implement this particular defense?

56*35*35 = 68,600

68,600 different ways can the coach pick the 11 players to implement this particular defense

7 0

3 years ago

Plz give full reasoning

disa [49]

Answer:

r = 12

Step-by-step explanation:

DG + GM = DM , substitute values

r + 3 + 4r - 28 = 35 , that is

5r - 25 = 35 ( add 25 to both sides )

5r = 60 ( divide both sides by 5 )

r = 12

4 0

2 years ago

Read 2 more answers

How do i answer this one

balandron [24]

Answer:942 is the answer

Step-by-step explanation:

Given : Radius= 5
Height =6
To Find:
Volume = 2 $\pi$ r²h

= 2*3.14*5²*6
= 942

5 0

2 years ago

Read 2 more answers

A circle is graphed on this coordinate plane. What is the radius in units of the circle and what is the equation of the circle?

Anastasy [175]

Answer:

The radius is 4 units, and the equation of the circle is:

(x - 3)^2 + (y + 5)^2 = 16

Step-by-step explanation:

A circle centered at the point (a, b) and with a radius R, is written as:

(x - a)^2 + (y - b)^2 = R^2

In the image, we can see that a segment that cuts the circle in two halves is the segment between the points:

(-1, -5) and (7, - 5)

The distance between these points is the diameter of the circle.

Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is:

D = √( (x₂ - x₁)^2 + (y₂ - y₁)^2)

Then in this case, the distance between the known points is:

D = √( (7 - (-1))^2 + (-5 - (-5))^2)

D = √( 8^2) = 8

The diameter of the circle is 8

Then the radius is:

R = 8/2 = 4

the radius is 4.

Now, to find the center of the circle we just need to go to any of the two extremes of the interval and count 4 units towards the center of the circle, this is:

(-1 + 4, -5) = (3, -5)

(7 - 4, -5) = (3, -5)

Then the center of the circle is the point (3, -5) and the radius is R = 4

The equation of the circle is:

(x - 3)^2 + (y - (-5))^2 = 4^2

(x - 3)^2 + (y + 5)^2 = 16

8 0

3 years ago