consider the word grateful. if all of the letters are used, how many ways can the letters be arranged?

a. 36
b. 720
c. 5,040
d. 40,320

Answers

Answer 1

Answer:

Correct option: d -> 40,320

Step-by-step explanation:

To find all the arrangements of letters in a word where all the letters are different, we just need to calculate the factorial of the number of letters.

The word "grateful" has 8 different letters, so the number of arrangements of letters is:

8! = 8*7*6*5*4*3*2 = 40,320 different arrangements

Correct option: d


Related Questions

Please help!
You flip a coin twice.

What is the probability of getting tails and then getting heads?

Write your answer as a percentage.


___%

Answers

25% chance

Head-Head

Head-Tail

Tail-Head

Tail-Tail

3 + (5 + 7) Use the commutative property of operations to reverse the numbers in the expression. Use the associative property of operations to change the grouping after reversing the numbers in the expression. Evaluate the expression.

Answers

Answer:

commutative property:

A + B = B + A

So we have

3 + (5 + 7)  = (5 + 7) + 3

Now distributive means that:

A + (B + C) = (A + B) + C

So  (5 + 7) + 3 = 5 + (7 + 3)

now the equation is easier to solve, because 7 + 3 = 10

5 + (7 + 3) = 5 + 10 = 15

Answer:

Use the commutative property of operations to reverse the numbers in the expression.

✔ 3 + (7 + 5)

Use the associative property of operations to change the grouping after reversing the numbers in the expression.

✔ (3 + 7) + 5

Evaluate the expression.

✔ 15

Step-by-step explanation:

What is the equation in slope intercept form of the line that has a slope of -3 and passes through the point (0,5)

Answers

y=-3x+5

Since the slope is -3, you write -3x since x labels the slope. The point is on the y axis giving us the y intercept which is 5.

what is the answer to the second question and third question

Answers

Answer:

2. 9:45

3. 2:30

Step-by-step explanation:

Caroline divides by 8, then adds 9 to get an answer of 12. What was the original number?

Answers

Answer:

Original number = 24

Step-by-step explanation:

Look at the picture

One of the altitudes of the parallelogram shown is the square root of 22.5. What is the other altitude?

Answers

Answer:

Step-by-step explanation:

through: (4,2) parallel to -5x + 4y = 16

Answers

Answer:

Step-by-step explanation:

-5x+4y=16

-5x4y=16

-5*4*2

I need help with this

Answers

Answer:

86 degrees

Step-by-step explanation:

Triangles add up to 180 degrees.

57 + 37 + x = 180

94 + x = 180

Subtract 94 from both sides.

x = 86

a hexagon has 5 sides measured as 115 , find the sixth side

Answers

Answer:

31

Step-by-step explanation:

115 divided by 5 equals 31 and each side measures 31 so the 6th side measures 31

or

Angle sum of hexagon is 720 .

So,116*5(5 side are given)

=580

580+x=720        (x is the  sixth side of hexagon)

x=720-580

=140°

Find the probability that a point in the figure chosen at random is in the
shaded kite. *Remember, the are of a kite is found by one half of diagonal
1 times diagonal 2. *
A)1/3
B)1/4
C)3/4
D)1/2

Answers

Answer:

Correct option: D) 1/2

Step-by-step explanation:

First we need to find the area of the kite and the area of the rectangle.

The diagonals of the kite are 16 and 12, as they are parallel to the sides of the rectangle.

So the area of the kite is A1 = (1/2) * 16 * 12 = 96

The area of the rectagle is the product of the sides, so A2 = 16 * 12 = 192

Now, to find the probability of a random point being inside the kite, we just need to divide the area of the kite by the area of the rectangle:

Probability = A1 / A2 = 96 / 192 = 1/2

Correct option: D)

Brainliest question please help me now I need it now plz

Answers

AZ^2= 2^2 + 2^2 = 8
AP^2 = ZP^2 = 5^2 + 7^2 = 74
P^2of APZ = /8 + 74*2 =156
P= 12.489
Sorry Brainly is having issues loading this user’s answer.Try again later

What is the measure of angle DBA?

Answers

Answer:

DBA =110 degree

Step-by-step explanation:

angle DBA is central angle

central angle = arc angle = 110 degree

Answer:110

Step-by-step explanation:

Name all factors of x3 – 3x2 – 10x.

Answers


The answer is: x(x-5)(x+2)
x(x^2-3x-10)
x(x-5)(x+2)

A cylindrical swimming pool has a diameter of 18 feet and a height of 4 feet. About how many liters of water are needed to fill the swimming pool 85% of its total volume? Round your answer to the nearest whole number. (1 ft³ ≈ 28.3 L) To the nearest whole number of liters.

Answers

Answer:

31 liters

Step-by-step explanation:

(9^2)4(3.14) = 1017.36

1017.36(.85) = 864.756

864.756/28.3 = 30.56 = 31 liters

A bucket contains 10 balls numbered as follows: 1, 2, 2,3,3,3,3,4,4,5. A
single ball is randomly chosen from the bucket. What is the probability of
drawing a ball numbered 3?

Answers

Answer:

4/10 or 40%

Step-by-step explanation:

there are 4 balls with the number 3. 4 balls out of 10. 4/10.

Answer:

1000000000000000000000000000000000000000000000%

Step-by-step explanation:

idk I cant count sooooo....

iF J is between C and T, find the value of x and JT. CJ=8x+5, CT=55, and JT=4x+2
x=
JT=

Answers

Answer:

x = 4JT = 18

Step-by-step explanation:

Given three points J, C and T on a line, if J is between C and T then;

CJ + JT = CT.

Given CJ=8x+5, CT=55, and JT=4x+2, substituting this parameters in the equation above will give;

[tex](8x+5)+(4x+2)= 55\\8x+4x+5+2 = 55\\12x+7 = 55\\12x = 55-7\\12x = 48\\ x = \frac{48}{12} \\x = 4[/tex]

SInce JT = 4x+2

[tex]JT = 4(4)+2\\JT = 16+2\\JT = 18[/tex]

Circle P has a circumference of approximately 75 inches.
What is the approximate length of the radius, r? Use 3.14
for te. Round to the nearest inch.
12 inches
24 inches
38 inches
46 inches

Answers

Answer:

12 inches

Step-by-step explanation:

2(3.14)r=75

r = 11.94 ~ 12 inches

Answer:

The answer is A

Step-by-step explanation:

Solve for c.

–4c − 9 = –3c

c =

Answers

Look at the attached picture

Hope it will help you

Good luck on your assignment

3 + 2x ≥ -4 solutions

Answers

Answer:

x  ≥ -7/2

Step-by-step explanation:

3 + 2x ≥ -4

Subtract 3 from each side

3-3 + 2x ≥ -4-3

2x ≥ -7

Divide each side by 2

2x/2  ≥ -7/2

x  ≥ -7/2

Steps to solve:

3 + 2x ≥ -4

~Subtract 3 to both sides

3 - 3 + 2x ≥ -4 - 3

~Simplify

2x ≥ -7

~Divide 2 to both sides

2x/2 ≥ -7/2

~Simplify

x ≥ -3.5

Best of Luck!

I NEED HELP FAST
Which statement about the point (0, 5) is true?




It is on the origin.

It is in Quadrant I.

It is on the x-axis.

It is on the y-axis.

Answers

Answer:

(0,5) is on the y-axis

Step-by-step explanation:

Since the x value is 0, it is not left or right of (0,0), thus it does not leave the y-axis. Since its y-value Is 5, it goes up 5 units from (0,0) but still it does not leave the y-axis.

Answer:

it is on the y-axis

Step-by-step explanation:

What’s the area of the shape ?

Answers

50.24 units ^2

A=pi r^2
A=3.14 8^2
A=3.14*64
A=200.96
BE CAREFUL, IT IS ONLY 1/4 OF THE CIRCLE.

A(1/4)= 50.24

Given the letters from the word: RESPONSIBILITY, what is the probability of choosing one letter and getting an "I"?

Answers

letter of i's/number of letters in the word

3/14

After solving a quadratic equation using the quadratic formula, what do the 2 solutions mean?

Answers

Answer:

those are your two answers

Step-by-step explanation:

Please solve this with an explanation. will mark as brainiest.

Answers

Answer:

[tex]236cm^2[/tex]

Step-by-step explanation:

[tex]A=2(wl+hl+hw)=2*(5*2+3*2+3*5)=62cm^2[/tex]

[tex]A=2(wl+hl+hw)=2*(3*5+3*5+3*3)=78cm^2[/tex]

[tex]A=2(wl+hl+hw)=2*(3*5+3*5+3*3)=78cm^2[/tex]

[tex]A=2(wl+hl+hw)=2*(3*3+3*3+3*3)=54cm^2[/tex]

[tex]62+78+78+54=272cm^2[/tex]

Please Help Me Will give 10 points

Answers

Answer:

I would say 1/2 but this question is really confusing.

Step-by-step explanation:

El resultado de las operaciones 5/3 + 17 / 51-14 / 21 es

Answers

Answer:

4/3

Step-by-step explanation:

encontrar el mínimo común denominadorienes para que sea mas facil

5/3+17/51-14/21 es 5/3 + 1/3 -2/3 cuando todos son igual de los denominados.

Ahora escribi todos los 3 numeros que iguale lo mismo denominador

5+1-2/3

Ahora solo hace el mas y menos y esta listo

4/3 es lo que pasa cuando haces las operaciones.



Please help me with this and please explain how you found your answer.
Find 25% of 30.

A. 32
B. 3.25
C. 32.5
D. 325

Answers

Answer:

Huh, the answer option doesn't exist. The answer is 7.5 You can double check my answer by multiplying 7.5*4 because 25% is 1/4th of 100%.

Step-by-step explanation:

Use cross multiplication. I've heard it being called butterfly multiplication. I'll try to represent it as best as I can.

x           25

----   =  --------

30         100

You multiply 30 by 25 and x by 100

x*100=30*25

Then solve for x

x*100=750

x=750/100

x=7.5

Hope this helps :)

i was gonna explain it but she did really good haha

Mason cuts a giant circular cookie into 5 equal pieces. Which statements are true about the angle measures of the pieces?

Answers

Answer:

A statement that is true about the angle measures of the pieces is that the angle measure of each piece is 72°. This is because there are 360° in a full circle, and if each piece is equal, that means that each piece is a fifth of that. Therefore, the angle measure is 360/5= 72°

What is 84/100 simplifyed

Answers

Answer:

0.84

Step-by-step explanation:

84/100=0.84

hope its right

Answer:

21/25

Step-by-step explanation:

84/100 divide by 4= 21/25

Express x^2-5x+8 in the form (x-a)^2+b

Answers

Answer:

x^2 - 5x + 8 = (x - 5/2)^2 + 7/4

Step-by-step explanation:

(x - a)^2 + b = x^2 - 2ax + a^2 + b

equate to your quadratic :

x^2 - 5x + 8 = x^2 - 2ax + (a^2 + b)

equating coefficients (ignoring x^2 as the coefficient is 1 for both)

for x :

-5 = -2a --> a = 5/2

for x^(0) : 8 = a^2 + b , note a = 5/2

thus,

8 = (5/2)^2 + b

8 = 25/4 + b

b = 8 - 25/4 = 32/4 - 25/4 = (32 - 25)/4 = 7/4

hence a = 5/2 , b = 7/4

thus,

x^2 - 5x + 8 = (x - 5/2)^2 + 7/4

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