From 12 different letters, 3326400 arrangements can be made using the letters in the word CARELESSNESS.
What is permutation?When the order of the arrangements counts, a permutation is a mathematical approach that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.
Among the 12 letters in CARELESSNESS,
there are 4 S’s, 3 E’s, and 1 each of C, A, R, L, N.
There are 12! = 479,001,600 arrangements (permutations) of the 12 letters,
most of which are identical because of repeated letters.
In order that each permutation be distinct, repeat letters have to be accounted for.
4 S’s be in 4! = 24 ways,
3 E’s, in 3! = 6 ways.
And 1! = 1 way.
Distinct permutations as requested,
thus = 12!/(3!)(4!)(1!)
= 3326400.
Therefore, 3326400 different 12-letter arrangements can be made using the letters in the word CARELESSNESS.
To learn more about the permutation;
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Find the volume of each square pyramid given its slant height. Round to the nearest tenth. It looks like a normal pyramid with a slant height of 2.8 and a base of one of the triangles is 1.2.
Answer:
1.344 cubic units
Step-by-step explanation:
Given data
Base edge a= 1.2
Hieght= 2.8
The expression for the volume of a pyramid is
V= a^2h/3
substitute
V= 1.2^2* 2.8/3
V= 1.44*2.8/3
V= 4.032/3
V= 1.34cubic units
Solve for x. Answer as a whole number.
Given:
In triangle ABC, AE is the angle bisector.
[tex]AB=4, BE=2, AC=x, CE=3[/tex]
To find:
The value of x.
Solution:
According to the angle bisector theorem, the angle bisector of a triangle divides the opposite side of the triangle into two parts. These two parts are proportional to the other two sides of the triangle.
Using the angle bisector theorem, we get
[tex]\dfrac{AB}{AC}=\dfrac{BE}{CE}[/tex]
[tex]\dfrac{4}{x}=\dfrac{2}{3}[/tex]
On cross multiplication, we get
[tex]4\times 3=2\times x[/tex]
[tex]12=2x[/tex]
Divide both sides by 2.
[tex]\dfrac{12}{2}=x[/tex]
[tex]6=x[/tex]
Therefore, the value of x is 6.
Please answer quickly with explanation. I am in need of major help.
Suppose you work at a local radio station. You are in charge of a $180 budget for
new tapes and CDs. Record companies will give you 21 promotional (free) CDs. You
can then buy tapes for $8 and CDs for $12.
a. Write a linear inequality that models this situation.
Answer
b. Graph the inequality. Make sure to use proper scales and to label your axes
Answer:
0---22.5 and 21---36
Step-by-step explanation:
you will always have 21 free CDs so you can put a closed circle on 21 then you can have a max of 15 CDs (180/12) soo put another closed circle on 36
now time for tapes, which is easier, the minimum is 0 and the max is 22.5. Now put closed circles on each and you're done. Except that .5 might get you in trouble, use your own discretion on rather to leave it on the .5 or round. I don't know what your teacher is looking for so I will let you decide.
hhhhhhhheeeeeeeeelllllllllllpppppppp pls
Answer:
18
Step-by-step explanation:
2^3 = 8
4^2 = 16
8+16=24
3/4 of 24 Is 18
Answer:
18
Step-by-step explanation:
[tex] \frac{3}{4} (8 + 16) \\ \frac{3}{4}(24) \\ 3 \times 6 \\ 18[/tex]
What is the volume of a hemisphere with the radius of 24 ft?
Answer:
Toby began his math homework at 6:38 pm.
He finished at 7:09 pm.
How many minutes did Toby spend on his math homework?
Step-by-step explanation:
The net of a solid figure is shown below:
The net of a solid figure is shown below:
Which calculation will give the total surface area of the solid figure?
A) 3 x 6 x 6 square inches
B) 6 x 3 x 3 x 3 square inches
C) 3 x 6 x 6 x 6 square inches
D) 6 x 3 x 3 square inches
Answer:
D, 6 x 3 x 3
Step-by-step explanation:
One area of a square is 3 x 3 there are 6 squares so we multiply by 6 too.
Help me with this please
Answer:
10
Step-by-step explanation:
6-3=3 then power of 2 which is 9 then plus 1
Answer:
C
Step-by-step explanation:
Substitute 6 for "x" in (x - 3)² + 1
(6 - 3)² + 1
We now evaluate the expression using PEMDAS
Parenthesis
Exponents
Multiplication and division ( from left to right )
Addition and subtraction ( from left to right )
Step 1: parenthesis
6 - 3 = 3
We would then have (3)² + 1
step 2: exponents
3²=9
we would then have 9 + 1 which = 10
Hence, the answer is C
please help me correct some answers on my test!! im really confused. please be serious, no weird answers
In circle A, the measure of arc CFE is 250 degrees. The measure of angle CAE is ___ degrees.
Find the circumference of the circle to the nearest hundredth
11cm
Question: Find the circumference of the circle to the nearest hundredth
d = 11cm
Answer:
34.54 cm
Step-by-step explanation:
Applying,
P = πd...................... Equation 1
Where P = Circumference of perimeter of the circle, d = diameter of the circle, π = pie
From the question
Given: d = 11 cm
Constant: π = 3.14
Substitute these values into equation 1
P = (3.14×11)
P = 34.54 cm
What is 4x/7 - 2/3
Fraction help
Answer:
2/21 * (6x-7)
Step-by-step explanation:
1/21 * (3*4x - 14)
1/21* (12x-14)
1/21* 2(6x-7)
2*1/21 * (6x-7)
2/21* (6x-7)
Work out the surface area of this solid prism
Answer:
3220 cm²
Step-by-step explanation:
Lets find the area of the two triangles
I am making a modification:
Both of the triangles are the same, so I wont divide by 2 using the area of triangle formula 1/2(b * h) because we end up multiply by 2
Area of triangles = 15 cm x 28 cm = 420 cm²
Area of front facing parallelogram = 24 cm x 4(10)cm = 100(10)cm = 1000 cm²
Area of back facing parallelogram = 17 cm x 40 cm = 680 cm²
Area of bottom parallelogram = 40 cm x 28 cm = 1120 cm²
Total Surface area = 420 cm² + 1000 cm² + 680 cm² + 1120 cm² = 1100 cm² + 2120 cm² = 3220 cm²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Pls pls help I don’t understand
Answer:
[tex]Given~quadratic ~function : 1=x^2-6x[/tex]
[tex]here,a=1,b=-6[/tex]
[tex]so, the~numbers~which ~we ~need ~to ~add....[/tex]
➜ [tex](\frac{b}{2} )^2[/tex]
➜ [tex]=(\frac{-6}{2})^2[/tex]
➜[tex]=(-3)^2[/tex]
➜ [tex]=9[/tex]
---------------------
hope it helps...
have a great day!!
Shelly bought 53.6 gallons of orange juice and used 18.3 gallons of it to make popsicles how much orange juice dose shelly have left
(No linkssss)Pls help me if your good at math I’ll mark brainliest if correct
What is the total surface area of the rectangular prism below?
Answer:
solution given:
length[l]=3 in
breadth [b]=5in
height [h]=8in
total surface area of the rectangular prism=?
we have
total surface area of the rectangular prism
=2[lb+bh+lh]
=2[3*5+5*8+3*8]
=158 in²
total surface area of the rectangular prism is 158 in².
Answer:
158
Step-by-step explanation:
formula is 2(hL+wh+lw)
Length- 3
width- 5
height - 8
Substitue values and get answer.
2 (24+ 40+15)
2 (79)
= 158
have a wonderful day!
No links please ASAP!!! Find the slope of the line that passes through (5,3) and (4,2).
Answer:
1
Step-by-step explanation:
y2 - y1/ x2 - x1
3-2/ 5-4 = 1/1 = 1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What is the length of AC ?
Answer:
there is no enough data to find the answer
What is the initial value of the function represented by this table?
A. 0
B. 2
C. 3
D. 5
Answer:
C... 3
Step-by-step explanation:
Find the missing factor. Write your answer in
exponential form.
Answer:
2^-9
Step-by-step explanation:
Convert the following equation into slope intercept form y-6=2(x+4)
Answer:
y = 2x +14
Step-by-step explanation:
We need to convert the given equation into slope intercept form ,
=> y - 6 = 2(x+4)
=> y -6= 2x + 8
=> y = 2x +8+6
=> y = 2x + 14
• Hence the required answer is y = 2x + 14What is the first step in solving the following equation?
28 = -12 - 4x
Answer:
4x = - 12 - 28Step-by-step explanation:
When we transpose - 4x to the LHS then it becomes positive i.e +4x
Now we transpose 28 to the RHS then it becomes negative i.e - 28
So the first step you have to is,
4x = - 12 - 28
14. Michelle purchased three stuffed bears for the price shown. The sales tax on her
purchase was 8.5%. What was the total cost for the stuffed bears? Round to the nearest
cent.
$9.49
w
F. $10.30
G. $30.89
H $80.67
3. $2.42
Answer: $30.89
Step-by-step explanation: you time $9.49 by three (28.47) then you find 8.5% of that total (2.41995) and then you add that to the total for the three bears and round to the nearest cent
Use elimination/linear combination to solve the following.
please help
Answer:
Step-by-step explanation:
3x + 4y = 17
5x - 4y = 7
you can thus cancel out 4y
Hence
8x = 24
Hence x = 3
Substituting’
3(3) + 4y = 17
9 + 4y = 17
Hence 17 - 9/4
= y = 2
Hope this helps
can someone pls help
Answer:
C
Step-by-step explanation:
4(5)+10-12=18
please help!!!!!!!!!
Answer:
that would be 1
Step-by-step explanation:
in this equation x=74 and 74/74 equals one
PLEASE HELP 20 points
Answer:
2.greatest common factor is 4
3.[tex]x^{2}[/tex]-3x-10
[tex]x^{2}[/tex]-(5-2)x-10
[tex]x^{2}[/tex]-5x+2x-10
x(x-5)+2(x-5)
(x+2)(x-5)
Step-by-step explanation:
Answer:
2. 4
3. (x+2)(x−5)
Step-by-step explanation:
Question One.
Factor 8x+12
8x+12
4(2x+3)
Question Two.
Factor [tex]x^{2}[/tex]−3x−10
The middle number is -3 and the last number is -10.
Factoring means we want something like:
(x+_)(x+_)
We need to figure out which numbers go in the blanks.
You will need two numbers. They need to...
Add together to get -3.
Multiply together to get -10.
2+-5=-3
2·-5=-10
Fill in the blanks.
(x+2)(x-5)
Answer:
(x+2)(x−5)
Tonia contributes 5% of her paycheck to her 401(k) plan in order to save for her retirement, and she pays state income tax at a rate of 5% on the rest of her paycheck. If p represents Tonia's paycheck and t represents the amount she pays in state income tax, which of these equations represents this Situation? А t = 0.0025p t = 0.025p С 1 = 0.0475p D 1 = 0.475p
Answer:
t = 0.0475p
Step-by-step explanation:
If
p = paycheck ; t = amount paid in state income tax
Amount contributed towards retirement :
5% of p ; 0.05p
Amount left :
Paycheck - contribution
p - 0.05p = 0.95p
Amount paid in state income tax :
5% of amount left
5% of 0.95p
5/100 * 0.95p
0.05 * 0.95p
= 0.0475p
Hence, state income tax, t = 0.0475p
Solve the equation for y. Then find the value of y for each value of x.
y + 5x = 8; x = - 2, 0,3
Solve the equation for y.
Answer:
y = 8 - 5x, y(-2) = 18, y(0) = 8, y(3) = -7
Step-by-step explanation:
y + 5x = 8
y = 8 - 5x
y(-2) = 8 - 5*(-2) = 8 + 10 = 18
y(0) = 8 - 5*(0) = 8 - 0 = 8
y(3) = 8 - 5*(3) = 8 - 15 = -7
can yall or someone help
Answer:
x would equal 40
Step-by-step explanation:
x+(2x-5)+(x+25)=180
4x+20=180
x=40
HELP! i only have 5 minutes to turn it in if you already did it im on 50 percent give me all answers this is 5th grade