The word EVERGREEN can be arranged in the following manner.
What is Arrangement?The number of possible arrangements or orders for a set of items is known as an arrangement number, also known as a permutation number or just a permutation.
Step 1: When there are no restrictionsThe letter EVERGREEN has 9 letter. So, the total arrangements will be 9!.
But letter 'E', 'R' are repeating 4 times and 2 times respectively.
Thus, total arrangements becomes 9!/(4!×2!) = 7560.
Step 2: When the first letter is R and the last letter is GAs, first and last letter are fixed for R and g respectively.
Thus the total positions left are 7! with 'E', 'R' are repeating 4 times and 2 times respectively.
Thus, total arrangements becomes 7!/(4!×2!) = 105.
Step 3: When the Es are all together. Three letters from the 9 letters of the word EVERGREEN are selected.The total combination for arrangement is 7560.
But when all 4 E's are kept together its gives 4! = 24.
Therefore, the total combination becomes 7560×120 = 181440.
Step 4: When the number of selections which contain no Es and exactly 1 R.As, no E and 1 R is not to be taken which left 5 positions with no repetitions of letter
Thus, the total combination becomes 4! = 24.
Step 5: The number of selections which contain no Es.The total letter left after the removal of all 4 E's is 5 with times repetition of R.
Therefore, the total combination will be 5!/2! = 60.
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Which graph does NOT represent a function?
Answer:
The circle graph does not represent a function because it doesn't pass the vertical line test.
Step-by-step explanation:
If $20,000 is invested at 7% for 15 years, find the future value if the interest is compounded daily(365 days)
Answer:
The total compound interest is $37,147.24.
Step-by-step explanation:
I could be wrong
Subtract a4 + 4a²b2 – 2b^4 from –3a^4 + 5a²b2 + 2b^4 - Your answer should be a polynomial in standard form.
Answer:
4a^4-4b^4-5a^2b^2
Step-by-step explanation:
find common variables and subtract/add
a^4+3a^4=4a^4
-2b^4-2b^4=-4b^4
0-5a^2b^2=-5a^2b^2
apply
4a^4-4b^4-5a^2b^2
what is 20 as a decimal
Answer:
0.2
Step-by-step explanation:
20/100 as a decimal is 0.2.
Answer:
0.2
Step-by-step explanation:
Please hurry, will mark brainliest if you answer correctly
Answer:
10
Step-by-step explanation:
according to BODMAS
6÷2=3
3+3=6
4^2=16
16-6=10
Name the property of addition illustrated.
[3+(-8)] + 9 = 3+(- 8+9)
Answer:
Associative property
Step-by-step explanation:
The associative property states that, in addition, pairs of parentheses can be moved without changing the value of the expression. This means that (a+b)+c=a+(b+c). That same rule can be seen in the equation above because the parentheses move from the first 2 terms to the 3rd and 4th terms. Either way, both sides of the equation remain equal.
Find the amount of sales tax for a board game that costs $25.00 at a 7% tax rate
A.$1.75
B.$2.00
C.$2.50
D.$5.00
To find the tax we have to multiply the percent by the cost.
Remember that in order to do this we need to convert the 7% into a decimal, which means we need to divide it by 100.
7 / 100 = .07
Now lets multiply:
25 * .07 = 1.75
This means that our sales tax is A) $1.75.
I hope this helps! :)
Solve the following system of equations graphically and check
3x - y = 3
Y=2x-7
Answer:
x = -4 and y = -15
Hope This Helps!!!
Directions: Write the
numerical expression
into word form. I it is in
word form, write it as a
numerical expression.
(8x2)-(3+5)
Answer:
Numerical: (8x2)-(3+5) = 8
Word form: Eight-times-two minus three-plus-five
(8 x 2) - (3 + 5)
16 - 8 = 8
I need help asap!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1/2 yd 5/3 yds The first one
Step-by-step explanation:
Jill had some candy to give to her five
children. She first took seven pieces for
herself and then evenly divided the rest
among her children. Each child received
five pieces. With how many pieces did
she start?
Team A beat Team B by 15 points in a football game . If a total of 35 points were scored , what was the final score of the game ?
I WILL MARK YOU A BRAINLIEST
Answer:
25-10 (25 - A and 10 - B)
Step-by-step explanation:
25 - 10 equals the 15 point margin
25 plus 10 equals the 35 point score combined
Hope it helps
Solve the equation, 3/4x + 3 - 2x = -1/4 + 1/2x + 5
Answer:
I think x= -1
Step-by-step explanation:
Team A beat Team B by 15 points in a football game . If a total of 35 points were scored , what was the final score of the game ?
For team A and team B
I WILL MARK YOU A BRAINLIEST
Answer:
25-10 (25 - A and 10 - B)
Step-by-step explanation:
25 - 10 equals the 15 point margin
25 plus 10 equals the 35 point score combined
Hope it helps
Evaluate the expression 9+9+2
Answer:
20
Step-by-step explanation:
9+9+2=20
Hope this helps :)
Answer: 20
Step-by-step explanation:9x2=18 +2=20 or 9+9=18+2=20
Using subsitution, which value of x makes this equation true? 7x = 10
.79 % of what number of horses is 29 horses
Answer: 37
Cross multiply 100x29 over 79
Derivative this Problem.
[tex]\\ \sf\longmapsto {\displaystyle{\lim_{x\to 1}}}\dfrac{x^2-1}{x-1}[/tex]
[tex]\\ \sf\longmapsto {\displaystyle{\lim_{x\to 1}}}\dfrac{x^2-1^2}{x-1}[/tex]
[tex]\\ \sf\longmapsto 2(1)^(2-1)[/tex]
[tex]\\ \sf\longmapsto 2(1)[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
Step-by-step explanation:
[tex] \tt \lim \limits_{x \to1} \frac{ {x}^{2} - 1 }{x - 1} = ...[/tex]
[tex] = \tt \lim \limits_{x \to1} \frac{(x + 1) \cancel{(x - 1)}}{ \cancel{(x - 1)}} [/tex]
[tex] = \tt \lim \limits_{x \to1}(x + 1)[/tex]
[tex] = \tt1 + 1[/tex]
[tex] = \boxed{ \bold{ \blue{ \underline2}}}[/tex]
Out of 120 customers asked at a restaurant, 38 rounded their bill up to the next whole dollar and donated the difference to the local Children's Hospital. How many consecutive customers must round up the bills so that the percentage of people who donated increases to 50%?
A. 44 customers
B. 40 customers
C. 36 customers
D. 32 customers
Using proportions, it is found that 44 consecutive customers must round up the bills so that the percentage of people who donated increases to 50%, so option A is correct.
A proportion is the number of desired outcomes divided by the number of total outcomes.
Considering that 38 out of 120 customers rounded their bill up, with x customers added, the proportion will be of 38 + x out of 120 + x.
The desired proportion is 0.5, hence:
[tex]\frac{38 + x}{120 + x} = 0.5[/tex]
[tex]38 + x = 60 + 0.5x[/tex]
[tex]0.5x = 22[/tex]
[tex]x = \frac{22}{0.5}[/tex]
[tex]x = 44[/tex]
44 customers, so option A.
A similar problem is given at https://brainly.com/question/20571459
3. A certain container of mouthwash usually costs $2.99 at a store. If it is on sale for 20% off how much does the mouthwash cost now?
A. $2.75
B. $2.77
C. $2.40
D. $3.74
Answer:
the answer is D Because
Step-by-step explanation:
so I will say about $3.74
22-2x when x = to -5
Answer:
5
Step-by-step explanation:
22-2x ... (equation-1)
(x=-5)
Substituting the value of x in equation 1
22-2(x-5)
20(x-5)
20x-100
20x=100
x=100/20
x=5
Hope it helps
This table shows data collected by a runner.
A three column table with 7 rows. The first column, Time in minutes, has the entries, 1, 2, 3, 4, 5, 6. The second column, Distance in miles, has the entries, 0.19, 0.38, 0.57, 0.76, 0.95, 1.14. The third column, Elevation in meters, has the entries, 12, 28, 67, 98, 124, 145.
Which statement about the scenario represented in the table is true? Assume time is the independent variable.
The distance run is a nonlinear function because it does not have a constant rate of change.
The elevation is a nonlinear function because it does not have a constant rate of change.
Both the distance run and the elevation are nonlinear functions because they do not have constant rates of change.
Both the distance run and the elevation are linear functions because they have a constant rate of change.
Answer:
a
Step-by-step explanation:
Answer:
The correct answer is B, The elevation is a nonlinear function because it does not have a constant rate of change.
Step-by-step explanation:
Part 1 of 2
Points: 0 of 1
a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 41 ft by 22 ft. The resulting piece of cardboard is the
folded into a box without a lid. Find the volume of the largest box that can be formed in this way.
b. Suppose that in part (a) the original piece of cardboard is a square with sides of length s. Find the volume of the largest box that can be formed in this way.
Answer:
Step-by-step explanation:
Why do you have a premium? That's :(
Answer:
i dont have a premium
Step-by-step explanation:
Answer:
Step-by-step explanation:
plsssssss answerrrrrr
Answer:
Step-by-step explanation:
Angle C and angle with 120 degrees measure are alternate and their measurement is equal so C = 120
angle C and angle B are supplementary and so their sum is equal to 180
B = 180 - 120
B = 60
angle D and angle B are also alternate so their measure is also equal to each other therefore
D = 60
If your financial goal is to save at least $40000 in 10 years What would be the least amount of money to save each month
Answer:
$334 to the nearest dollar.
Step-by-step explanation:
If you just stuff it under the bed that would be
40000/ 120 (as there are 120 months in 10 years)
= $334.333...
*What is the perimeter of a square with side length 13.4 inches? Write the direct variation equation.
Answer:
53.6 inches
p = 4s
Step-by-step explanation:
The perimeter of a square is four times the side
The direct variation equation is
p = 4s
p = 4 * 13.4
p = 53.6 inches
Find the slope between these two points: (-3. 2) and (7.9).
Answer:
m= 7/10 or m = 0.7
Step-by-step explanation:
Slope of the line between 2 points is found using the coordinates of the points.
m = (y2-y1) / (x2-x1) for (x1 = -3, y1 = 2) and (x2 = 7, y2 = 9)
m = (9 -2) / ( 7- -3)
m= 7 / 10
Helps me!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C and D
Step-by-step explanation:
Hope this helps :)
Can someone please help me figure out the answer to the question in the picture?