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NikAS [45]
2 years ago
7

What is the total number of possible 4-letter arrangements of the letters m-a-t-h if each letter is used exactly once in each ar

rangement?
Mathematics
1 answer:
MariettaO [177]2 years ago
7 0

9514 1404 393

Answer:

  24

Step-by-step explanation:

The number of permutations of 4 items is 4! = 24.

  math, maht, mtah, mtha, mhat, mhta,

  amth, amht, atmh, athm, ahmt, ahtm,

  tmah, tmha, tamh, tahm, thma, tham,

  hmat, hmta, hamt, hatm, htma, htam

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2mn + 4n 2 and 5m 2 - 7mn
Katyanochek1 [597]
Answer: 5mn + 5m + 4n + 4

because

2mn - 7mn = 5mn

5m = 5m
stays the same

4n = 4n
stays the same

2 + 2 = 4

if you put them toghether than you get:

5mn + 5m + 4n + 4

is equal to

2mn + 4n + 2 and 5m + 2 -7mn
4 0
3 years ago
The force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F=ma where m is the object
KATRIN_1 [288]

From Newton’s Second Law of Motion, the force needed to accelerate a moving object of mass m at acceleration a is given by ;

F = ma

In this case, m = 5kg, a = 6m/s^2 and we want to find F

F = 5 x 6

F = 30N

Therefore, a force of 30N is needed to accelerate a 5kg object at 6m/s^2.

8 0
2 years ago
A sixth-grade math teacher can grade 25 homework assignments in 20minutes. What is the rate per minute? He can grade assignments
baherus [9]

Answer:

He can grade 1.25 assignments in 1 minute.

Step-by-step explanation:

Because the teacher can grade 25 assignments in 20 minutes, we can dive 25 by 20 to get the constant rate.

25/20\\1.25

So he can grade 1.25 assignments in 1 minute.

5 0
2 years ago
What is the coordinate of point P on the line segment AB that is 3/4 of the distance from A to B for A(2,5) and B(6,9)?
Brut [27]

Answer:

p  is (3.71, 6.71)

Step-by-step explanation:

Given that p is at the distance of 3/4 from A to B

it mean that point p divides the line AB into 3:4 ratio.

and

if there are two points (x1,y1) and (x2,y22) which is divided by point p in the ratio m:n then

coordinates of point p (x,y) is given

p (x = (n*x1+m*x2)/m+n , y = (n*y1+m*y2)/m+n )

________________________________________________

Given the points AB

A(2,5)

B(6,9)

m:n = 3:4

thus,

p (x = (4*2+3*6)/7 , y = (4*5+3*9)/7 )

p (x = (4*2+3*6)/7 , y = (4*5+3*9)/7 )

p (x = (26/7 , y = 47/7 )

P ( x = 3.71, y = 6.71)

Thus, coordinates of point p  is (3.71, 6.71) which is  at  3/4 of the distance from A to B for A(2,5) and B(6,9)/

5 0
2 years ago
Help!!!!
Elodia [21]

Answer:

110 students in the class

Step-by-step explanation:  If this is helpful and correct please mark as brainliest!

7 0
2 years ago
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