Song= sngo, sogn, gnso, gosn, gnos, snog, 6 ways ?
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Explanation:
We have four blank slots to fill. Call them slot A,B,C,D. There are 4 letters to pick from when filling slot A. After that selection is made, there are 3 letters left for slot B. This process keeps going til you count down to 1.
Multiplying those values out gives 4*3*2*1 = 24
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Extra info:
This concept is given factorial notation of an exclamation mark, so you'd write 4! = 4*3*2*1 = 24 or simply 4! = 24.
Another example of factorial notation is 7! = 7*6*5*4*3*2*1. We start with 7 and count our way down til we get to 1, multiplying all along the way.
You could also use the nPr permutation formula [tex]_nP_r = \frac{n!}{(n-r)!}[/tex] though that isn't necessary in my opinion since it involves factorials which we already used above. If you use the permutation formula, then you would have n = 4 and r = 4. The n refers to the number of items you are arranging and r = 4 is the number of slots you are filling.
It turns out that [tex]_nP_r = \frac{n!}{(n-r)!} = n![/tex] when r = n.
You can think of it in a smaller chunk. If we fix S to be the first letter, then we have O,N,G to rearrange. There are 6 ways to do this as shown
ONGOGNNOGNGOGONGNOBasically showing that 3! = 6. We have 4 different ways to have the first letter be selected, so we have 4*6 = 24 permutations of SONG.
Find the volume of a rectangular prism with base length = 8ft , base width =5 ft, and height =2ft
Answer:
80
Step-by-step explanation:
All you are doing is 8 times 5 times 2 to give you the answer of 80ft.
Sausages come in packets of 7. Bread rolls come in packets of 5. Dan wants to buy enough
packs of sausages and rolls so that there are an equal number of sausages and rolls. What is
the minimum number of sausages and rolls he needs to buy?
Answer:
5 packs of sausages
7 packs of rolls
Step-by-step explanation:
So the least common multiple of 5 and 7
That's 35
Dan needs to buy 5 packs of sausages and 7 packs of rolls.
Chitra is buying a TV. At A-Mart, the TV is on sale for $199, with 7%
sales tax. At B-Mart the TV is $299, but has a $100 mail-in rebate.
Sales tax of 7% is based on the full price. After the rebate, which is the
better deal?
5 point pls help
the best would be the first choice because it's 7 dollars less than the second choice
How do I calculate this parent function of a linear function? The parent function of a linear function is y=x. When the parent function is changed to y=x+5, how does the graph transform?
Step-by-step explanation:
This only moves the linear function up 5 units. So, before the y-intercept and the x-intercept both was (0,0). Now, the y-intercept is (0,5) because the graph was shifted up 5 units.
hope this helps :)
Divide -x^3-2x^2-2x+4 by x -3
Answer:
− x 2 − 5 x − 17 − 47 x − 3
Step-by-step explanation:
Divide using polynomial division.
Polynomial :
An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers.
ZA=
Round your answer to the nearest hundredth.
С
5
B
7
?
А
Answer:
∠ A ≈ 35.54°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{5}{7}[/tex], thus
A = [tex]tan^{-1}[/tex] ([tex]\frac{5}{7}[/tex] ) ≈ 35.54° ( to the nearest hundredth )
What is the solution to the equation 3(2x + 5) = 3x + 4x?
a
X= 15
b.
X= 5
X=0
dx = 4
Answer: A
Step-by-step explanation:
Distribute the 3(2x+5) which gives you 6x+15. Than add 3x+4x which gives you 7x. Subtract the 6x giving you 15=x or 15=1x, divide the one to get the x alone and you get A.
OUR TEACHER CALLED THIS A PUZZLE IN A PUZZLE I DONTB GET THIS MATH HW BUT DO U?
What are the next two letters in the following series and why?
W A T N T L I T F S _ _
*Hint: Check Puzzle Title
this is what she said
i copy and pasted from my computer
Answer:
A and W that's awesome puzzle!!
Answer:
its A and W
i had this on my math HW to 2 weeks ago
Step-by-step explanation:
What are the next two letters in the following series and why
what are the beginning letters in all of words
W A T N T L I F S
and so the remaining is and why which is A W
so its supposed to be like this
W A T N T L I F S A W
hope this helped :D
HELP ASAP DUE NOW GIVEIN BRAINLIST
The student did not properly distribute the 4 to all terms in the parenthesis:
-8n + 4(1 + 5n) = -6n - 14
First, distribute 4 to ALL terms in the parenthesis:
-8n + 4 + 20n = -6n - 14
Next, isolate the variable, n. Add 6n and subtract 4 from both sides:
-8n + 20n (+6n) + 4 (-4) = -6n (+6n) - 14 (-4)
-8n + 20n + 6n = -14 - 4
Simplify. Combine like terms:
(-8n + 20n) + 6n = -18
12n + 6n = -18
18n = -18
Isolate the variable, n. Divide 18 from both sides:
(18n)/18 = (-18)/18
n = (-18)/18
n = -1
n = -1 is your answer.
~
Answer:
-According to the student's work shown, The student needs to distribute 1 and 5[tex]n[/tex] by 4. So, the mistake was that the student did not distributed the 1 and 5[tex]n[/tex], in which the student only distributed the 1.
-The equation: [tex]8n + 4(1+5n)=-6n-14[/tex]
-Distributed Incorrectly:
[tex]8n + 4+5n=-6n-14[/tex] (only distributed the 1 by the 4)
-Distributed Correctly:
[tex]8n + 4+20n=-6n-14[/tex] (distributed both 1 and 5[tex]n[/tex] by the 4)
-The correct calculation:
[tex]8n + 4(1+5n)=-6n-14[/tex]
[tex]8n + 4+20n=-6n-14[/tex]
[tex]12n+4 = -6n -14[/tex]
[tex]12n + 4+ 6n=-6n+6n-14[/tex]
[tex]18n +4 = -14[/tex]
[tex]18n +4 -4 = -14 -4[/tex]
[tex]18n = -18[/tex]
[tex]\frac{18n}{18}= \frac{-18}{18}[/tex]
[tex]n = -1[/tex]
The correct answer is [tex]n = -1[/tex] .
What is x/6 = 10/15?
Answer:
x = 4
Step-by-step explanation:
Given
[tex]\frac{x}{6}[/tex] = [tex]\frac{10}{15}[/tex] ( cross- multiply )
15x = 60 ( divide both sides by 15 )
x = 4
Answer:
3
Step-by-step explanation:
Part of the population of 5,250 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 11 of them are infected. How many elk are likely to be infected?
Answer:
1,155 elk are infected.
Step-by-step explanation:
Let's use a ratio:
infected : fine
11 : 50
1155 : 5250
Need help ASAP. WILL MARK BRAINLIEST.
Answer:
The answer is 9.43 cm.
Step-by-step explanation:
The formula for circumference is πd or 2πr.
The diameter is the radius times 2. 1.5 times 2 is 3.
3 times π is about 9.43.
I hope this helps! :)
What is the value of x in the equation below 1/3(12x-24)=18? 2 6 8 10
Answer:
x = 6
Step-by-step explanation:
solve the equation for x
1/3(12x-24)=18
distribute
(1/3)(12x) - (1/3)(24) = 18
4x - 8 = 18
add 8 to both sides
4x = 24
divide each side by 4
x = 6
hope this helps!
Answer:
6
Step-by-step explanation:
Jill has 64 ounces of lemonade. Each day, her brother drinks 16 ounces. Then at the end of each day Jill adds 25% of the remaining total back into the lemonade container. Which recursive formula models the number of ounces of lemonade in the container, an, at the end of the nth day?
Answer:
what is the nth day?
Step-by-step explanation:
Answer:
A
Step-by-step explanation: an=1.25(an-1-16);a1=64
:)
A rectangular table has an area of 5/6 of a square meter. The length of a table is 2/3 of a meter. What is the width of the table in meters?
Answer:
Width is [tex]1 \frac{1}{4} m[/tex] or 1.25m
Step-by-step explanation:
[tex]\frac{5}{6}[/tex] ÷ [tex]\frac{2}{3}[/tex] = 5/6 x 3/2 = 5/4
was da answer people?
Answer:
39 homes
Step-by-step explanation:
The fraction of people having computers is
13/20
Multiply by the number of homes
13/20 * 60
13 * 60/20
13*3
39
39 homes
Answer:
39 Computers
Step-by-step explanation:
i never really understood how everyone does these types of question so i just do them my own way:
60/20 = 3
13*3 = 39
ʕ•ᴥ•ʔ (dats a bear)
Please help. I also will post another question I need help with. Thank you if you help.
Geometric progression, first term 5, common ratio 3.
Answer: 5, 15, 45, 135
Natalie baked 20 cupcakes for a fundraising event at school. On the way to the event she dropped 35% of the cupcakes on the floor. What is the total number of cupcakes that natalie dropped?
Answer:
The total number of cupcakes that Natalie dropped is 7.
Step-by-step explanation:
This question can be solved using a rule of three.
The amount of cupcakes that she has, which is 20, is 100% = 1. How many cupcakes is 35% = 0.35?
20 cupcakes - 1
x cupcakes - 0.35
x = 20*0.35 = 7
The total number of cupcakes that Natalie dropped is 7.
The graph of the function, f(x) = - x2 - 3x + 1, opens and has a, value.
Answer:
downward, maximum value
Step-by-step explanation:
f(x) = - x^2 - 3x + 1
The negative in front of the x^2 means the graph opens downwards
The y intercept is 1
Because it opens downward it has a maximum value
Answer:
Opens downwards and has a maximum value
Step-by-step explanation:
f(x) = -x² - 3x + 1
a is the coefficient of x², which is -1
Since a < 0, it's a concave down graph which opens downwards. Therefore it has a maximum turning point
Find the mode of the data.
41, 38, 37, 34, 37, 43, 37, 39, 41, 37
Answer:
Step-by-step explanation:
37
Answer: 37
Step-by-step explanation:
To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode. All you have to do is look for the number that occurs in any of those the lists the most and that number is the mode.
Margo can purchase tile at a store for $0.89 per tile and rent a tile saw for $45. At another store she can borrow the tile saw for free if she buys tiles there for $1.39 per tile. How many tiles must she buy for the cost to be the same at both stores?
Margo must buy ____ tiles for the cost to be the same at both stores.
Answer:
She must buy 90 tiles for the cost to be the same at both stores
Step-by-step explanation:
Let x be the no. of tiles bought for the cost to be the same at both stores
Margo can purchase tile at a store for $0.89 per tile at shop 1
Cost of x tiles =0.89x
She rent a tile saw for $45.
So, total cost at Store 1 = 0.89x+45
At another store she can borrow the tile saw for free if she buys tiles there for $1.39 per tile.
So, cost of 1 tile = 1.39
Cost of x tiles = 1.39x
ATQ
0.89x+45=1.39x
45=1.39x-0.89x
45=0.5x
[tex]\frac{45}{0.5}=x[/tex]
90=x
Hence She must buy 90 tiles for the cost to be the same at both stores
Can someone help me? i'll be giving brainliest
Answer:
x= 55
Step-by-step explanation:
Answer:
the answer id 62
Step-by-step explanation: 62!!!!!!!!!!
Please help, and thanks in advance!
Answer:
c i believe sorry if its wrong
Step-by-step explanation:
Answer:
3. A.
4. 136
Step-by-step explanation:
3. Find the surface area:
2 * 1 = 2
3 * 2.2 = 6.6
2 * 3 = 6
3 * 1 = 3
2 + 6.6 + 6 + 3 = 17.6
4. Find the surface area:
5 * 7 * 2 = 70
6 * 4 = 24
7 * 6 = 42
70 + 24 + 42 = 136
Someone help me please
Answer:
f(g(3)) =31
Step-by-step explanation:
f(x) = 3x+4
g(x) = x^2
f(g(3) ) =
First find g(3)
g(3) = 3^2 =9
The use 9 in f(x)
f(g(3)) = f(9) = 3*9+4 = 27+4 = 31
3. How is the circumference of a circle related to the length of its diameter?
Step-by-step explanation:
.The circumference is the distance around the circle. The circumference is equal to two times pi times the radius (C = 2*pi*r). Because the diameter is equal to two times the radius, the circumference is equal to the diameter times pi (C = D*pi), where pi is about 3.14… The diameter of a circle is 2 units.
Find the area of the triangle
Answer: Area of a triangle = (b*h)/2
Step-by-step explanation:
8*14= 112
112/2=56
The area of the triangle is 56 square units.
Answer:
56
Step-by-step explanation:area of aa triangle is 1/2bh
=1/2*8*14+56 square units
hope this hepls
plz mark me brainliest
Estimate the solution to the system of equations. asap, please!! I will mark for brain list
7x−y=7
x+2y=6
please have a mixed fraction for both the y and x answers
Answer:
(1 [tex]\frac{1}{3}[/tex], 2 [tex]\frac{1}{3}[/tex] )
Step-by-step explanation:
Given the 2 equations
7x - y = 7 → (1)
x + 2y = 6 → (2)
Multiplying (1) by 2 and adding to (2) will eliminate the y- term
14x - 2y = 14 → (3)
Add (2) and (3) term by term to eliminate y
15x = 20 ( divide both sides by 15 )
x = [tex]\frac{20}{15}[/tex] = [tex]\frac{4}{3}[/tex] = 1 [tex]\frac{1}{3}[/tex]
Substitute this value of x into either of the 2 equations and solve for y
Substituting in (2)
[tex]\frac{4}{3}[/tex] + 2y = 6
2y = 6 - [tex]\frac{4}{3}[/tex] = [tex]\frac{14}{3}[/tex] ( divide both sides by 2 )
y = [tex]\frac{7}{3}[/tex] = 2 [tex]\frac{1}{3}[/tex]
the rational number of 2 x -7/4
A bag of marbpes contains 6 blue marbles, 2 yellow marbles, 4 red marbles, and 1 green marbpe. What is the probability of reaching into the bag and selecting a yellow marble
Answer:
1/6 or 1.6666666
Step-by-step explanation:
12 marbles, 2 yellow
12/2= 6
1/6
Dependent variable C depends on both independent variable A and independent variable B. Which statement is correct?
The relationship between independent variable A and dependent variable C and the relationship between independent variable
B and dependent variable C can both be analyzed using the same scatterplot.
The relationship between independent variable A and dependent variable C, and the relationship between independent
variable B and dependent variable C can both be analyzed, but they must be analyzed using separate scatterplots.
Only the relationship between independent variable A and dependent variable C can be analyzed using a scatterplot.
Only the relationship between independent variable B and dependent variable C can be analyzed using a scatterplot.
Save and Exit
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Submit
Mark this and retum
Answer:
its the second one
The relationship between independent variable A and dependent variable C, and the relationship between independent variable B and dependent variable C can both be analyzed, but they must be analyzed using separate scatterplots.
Step-by-step explanation:
Answer:
B) The relationship between independent variable A and dependent variable C, and the relationship between independent variable B and dependent variable C can both be analyzed, but they must be analyzed using separate scatterplots.
Step-by-step explanation:
I just took the test on edge
