Answer:
see the book
Step-by-step explanation:
if not getting then answer is 13 cm
find the number of distinct permutations of the word "CALCULATOR."
Given:
The word is "CALCULATOR."
To find:
The number of distinct permutations.
Solution:
In the word "CALCULATOR",
The number of letters = 10
In which, we have 2 C, A, L and 1 U, T, O, R.
We know that,
[tex]^nC_r=\dfrac{n!}{(n-r)!}[/tex]
[tex]^nC_n=\dfrac{n!}{(n-n)!}=n![/tex]
To find the number of distinct permutations of the given word need to divide permutation of all letter by the permutations of repeated letters.
[tex]\text{Total ways}=\dfrac{^{10}C_{10}}{^2C_2\ ^2C_2\ ^2C_2\ ^1C_1\ ^1C_1\ ^1C_1\ ^1C_1}[/tex]
[tex]\text{Total ways}=\dfrac{10!}{2!2!2!1!1!1!1!}[/tex]
[tex]\text{Total ways}=\dfrac{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{2\times 2\times 2\times 1\times 1\times 1\times 1}[/tex]
[tex]\text{Total ways}=453600[/tex]
Therefore, the number of distinct permutations of the word "CALCULATOR" is 453600.
Number of distinct permutation of the word "CALCULATOR." is 453600
How to solve this problem?
permutations of the word "CALCULATOR"Total number of words in "CALCULATOR" is 10
we find out the words that are repeating
A is repeating twice (2)
C is repeating twice (2)
L is repeating twice (2)
Number of permutations = number of letters !/ repeating letters!
Number of distinct permutation =
[tex]\frac{10!}{2!2!2!} \\\frac{10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}{2\cdot2\cdot2} \\453600[/tex]
Number of distinct permutation of the word "CALCULATOR." is 453600
learn more about the distinct permutations here:
https://brainly.com/question/21767354
PLEASE ANSWER FAST NEED RIGHT NOW
Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing, and the end behavior when the following changes are made. Make sure to account for even and odd functions. When f(x) becomes f(x)-4 When f(x) becomes -f(x+2)
Diego is building a patio deck. The length of the deck is (x + 8) feet. The width of the deck is (x + 3) feet. What is the simplest form expression for the perimeter of the deck?
Answer:
(4x + 22) feet
Step-by-step explanation:
Diego is building a patio deck. The length of the deck is (x + 8) feet. The width of the deck is (x + 3) feet. What is the simplest form expression for the perimeter of the deck?
A patio deck = Rectangular in shape
Hence:
The formula for the Perimeter of a rectangle = 2L + 2W
Where
L = Length
W = Width
The length of the deck is (x + 8) feet. The width of the deck is (x + 3) feet.
The perimeter of the deck =
2(x + 8)feet + 2(x + 3)feet
= (2x + 16) feet +( 2x + 6)feet
= (2x + 2x + 16 + 6) feet
= (4x + 22) feet
Therefore, the perimeter of the deck = (4x + 22) feet
help!!!!!!!!!!!!!!!!!!!!!!!!!!! im a dummy
your scientific notation will be 2.505 x 10^4
What is 6 x 1.11?
Give your answer in pounds.
Answer:
Step-by-step explanation:
6.66 pounds is the correct answer
WILL GIVE BRAINLIEST
(GIVING BRAINLIEST!!!)
Last night, Roberto spent 90 minutes doing homework, infinity symbol hour reading, and 540 seconds making his lunch for the next day. How many more minutes did Roberto spend doing homework than he did reading and making his lunch?
A) 81 minutes
B) 50 minutes
C) 49 minutes
D) 41 minutes
Answer:
A) 81 minutes
Step-by-step explanation:
Find the domain and range of f(x)=4*(1/2)^x
Round to the nearest tenth 0.7456
I am about to go on trip help
Answer:
1 inch = 8 miles
112÷14=8, so one inch is 8 miles.
help please! :) thanks!!!
Answer:
C
Step-by-step explanation:
Mitochondria is the powerhouse of a cell
Sally answered 90% of the math testquestions and 80% of the history test questions correctly. if each test had 50 questions , how many questions in all did she answer correctly?
Solve the following equation:
1.3(a + 2) + 5.6 = 17.3
Answer:
a=7
Step by step Explanation:
Step 1: Simplify both sides of the equation.
1.3(a+2)+5.6=17.3
(1.3)(a)+(1.3)(2)+5.6=17.3(Distribute)
1.3a+2.6+5.6=17.3
(1.3a)+(2.6+5.6)=17.3(Combine Like Terms)
1.3a+8.2=17.3
1.3a+8.2=17.3
Step 2: Subtract 8.2 from both sides.
1.3a+8.2−8.2=17.3−8.2
1.3a=9.1
Step 3: Divide both sides by 1.3.
1.3a 9.1
1.3 = 1.3
a = 7
2. (11.01 MC)
Nina has a piece of fabric measuring 5 yards. How many 1-inch strips can be cut from the fabric?
108 strips
I
144 strips
180 strips
120 strips
Answer:
120strip
Step-by-step explanation:
FREE BRAINLIEST!! ill also answer questions that you have posted if you answer correctly!!!! (30pts)
Simplify the following expression 2n+6+4y+8
Answer:
2n+4y+14
Step-by-step explanation:
Answer:
So we are going to Simplify 2n+6+4y+8
First thing we add the numbers:
2n+6+4y+8=
2n+14+4y=
Which equals
2n+4y+14
Answer :
2n+4y+14
What is the difference between largest and smallest fraction below?
1/5 7/20 3/10
An element with a mass of 600 grams decays by 27.8% per minute. To the nearest
tenth of a minute, how long will it be until there are 2 grams of the element
remaining?
Answer:
17.5 minutes
Step-by-step explanation:
i just put 600 times 0.722^x=2 in desmos graph and got that
What is the slope of this line?
Answer:
A line is increasing if it goes up from left to right. The slope is positive, i.e. m > 0 {\displaystyle m>0} .
A line is decreasing if it goes down from left to right. The slope is negative, i.e. m < 0 {\displaystyle m<0} .
If a line is horizontal the slope is zero. This is a constant function.
If a line is vertical the slope is undefined (see below).
Can someone help me please!!!
Answer:
Step-by-step explanation:
(0,8)(8,0)
find slope
m=-1
b=8
y=-x+8
Answer:
y= -1x+8
Step-by-step explanation:
slope is -1/1 and your y intercept is (0,8)
Complete to get an equivalent fraction:
5/4 = _____/20
Answer:25
Step-by-step explanation:
Simply multiply by five on both the 5 and 4 and you get an equivalent fraction
Answer:
25/20
Step-by-step explanation:
I set up a proportion and to find the how 4 goes to 20, I divided 20/4 to get 5 and then I multiplied 5*5 to get 25.
You can also cross multiply.
375 x228 step by step How to solve
The point (-5, 3) is reflected across the x axis. What are the coordinates of this reflection? Group of answer choices
Answer:
( -5, -3)
Step-by-step explanation:
42 = y + 15 whats y? y == __
Solution
[tex]y=27[/tex]
Step-by-step explanation:
Subtract [tex]15[/tex] from both sides of the equation:
[tex]42=y+15[/tex]
[tex]42[/tex][tex]-15=y+15[/tex][tex]-15[/tex]
Simplify:
Subtract the numbers:[tex]42-15=y+15-15[/tex]
[tex]27=y+15-15[/tex]
Subtract the numbers:[tex]27=y+15[/tex][tex]-15[/tex]
[tex]27=y[/tex]
Move the variable to the left:[tex]27=y[/tex]
[tex]y=27[/tex]
[tex]y=27[/tex]
Andrew has $550 in a savings account that earns 5 % annually. How much will he earn in interest in 4 years?
Answer:
I think 668.52, but im not exactly sure
Answer:
2200
Step-by-step explanation:
So if you do 550 and x that by 4 it equles it is 2200 .
Use elimination to solve for x and y:
5x + 4y = 23
x - 4y = - 5
O (3, 2)
O (2,3)
0 (7. – 3)
0 (7,3)
Answer:
x=3, y=2
Step-by-step explanation:
please answer don’t comment if u don’t know
Answer:
the first answer choice
Step-by-step explanation:
if you do 1/3 times -9 its -3
Hailey took a taxi from her house to the airport. The taxi company charged a pick-up fee of $2.40 plus $4.50 per mile. The total fare was $87.90, not including the tip. Write and solve an equation which can be used to determine mm, the number of miles in the taxi ride.
Answer:
The taxi drove Hailey for 19 miles.
Step-by-step explanation:
1. Subtract the tip.
$87.90 - $2.40 = $85.5
2. Divide by the price per mile. ($4.50)
$85.5 / $4.50 = 19
Kieran picks a bead out of a bag without looking.He records the colour and replaces the bead.Kieran does this 50 times.He picks out a red bead 15 times. Estimate the probability of picking a red bead.
Answer: 3/10
Step-by-step explanation:
From the question, we are informed that Kieran picks a bead out of a bag without looking and that he records the colour and replaces the bead.
He does this 50 times and he picks out a red bead 15 times. The probability of picking a red bead will be the number of times a red bead was picked divided by the number of title times a bead was picked. This will be:
= 15/50
= 3/10
What is the answer for this equation 600 is 4/9 of what number 
Answer:
933.3333333
Step-by-step explanation: