Song= sngo, sogn, gnso, gosn, gnos, snog, 6 ways ?
===========================================================
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
-----------
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.
If a = 32 ft, b = 15 ft, c = 16 ft, and d = 19 ft, what is the area of the living room and hallway together?
A.
368 ft2
B.
784 ft2
C.
164 ft2
D.
82 ft2
Answer :
A. 368 ft²
Step by step
[tex]d - b = 19 - 15 = 4 \\ (b \times c) + (a \times 4) \\ = (15 \times 16) + (32 \times 4) \\ = 240 + 128 \\ = 368[/tex]
Answer:
386 ft :)
Step-by-step explanation:
Which equation is NOT an example of a linear function?
A) y = 9 - 2x
B) y = 6/X
C) y = x/2 + 9
D) y = 5/6x - 8
Answer:
B
Step-by-step explanation:
y = 6/x is not an example of a linear function
Option B is correct
A linear function can be written in the form ax + by = c
Let us consider the options given and see which of them cannot be expressed in the form ax + by + c
For y = 9 - 2x
This can also be expressed as
-2x + y = 9
For y = x/2 + 9
This can also be expressed as:
x - 2y = - 18
For y = 5/6 x - 8
This can also be expressed as:
-5x + 6y = -48
Only y = 6/x cannot be expressed in the form ax + by = c. Therefore, y = 6/x is not an example of a linear function
Learn more here: https://brainly.com/question/16459885
If a figure is translated 5 units down and 3 units right, how do you represent it algebraically
Answer
(x+3) -5
Step-by-step explanation:
plug the values into the parent transformation equation to its rightful places
The diagram shows a hexagon.
The hexagon has one line
of symmetry
А
B.
FA = BC
EF = CD
Angle ABC = 123
Angle BCD = 2 x angle CDE
Work out the size of angle AFE.
You must show some of your working.
Your final line must say, AFE = ...
Answer:
158 degrees
Step-by-step explanation:
Step 1:
Let Angle CDE =y
Since Angle BCD = 2 X angle CDE
Angle BCD = 2y
Step 2
Consider Figure 2 attached, each of the figure forms an isosceles trapezoid ABCF and DEFC.
By these properties of Isosceles Trapezoids
Lower Base Angles are CongruentUpper base angles are congruentAny lower base angle is supplementary to any upper base angleTherefore:
[tex]\angle ABC+\angle BCF=180^\circ\\\angle FCD+\angle CDE=180^\circ\\Therefore:\\\angle ABC+\angle BCF+\angle FCD+\angle CDE=360^\circ\\$But \angle BCF+\angle FCD=\angle BCD\\So:\\\angle ABC+\angle BCD+\angle CDE=360^\circ[/tex]
123+2y+y=360
3y=360-123
3y=237
y=79 degrees
Therefore:
[tex]\angle BCD=2 X 79^\circ=158^\circ\\\angle BCD=\angle AFE=158^\circ\\\angle AFE=158^\circ[/tex]
A square pyramid is sliced parallel to the base and halfway up the pyramid.
Which of these describes the cross section?
A square smaller than the base
A quadrilateral that is not a square
A square the same size as the base
A triangle with a height the same as the pyramid
Answer:
A square smaller than the base
Explanation:
A square pyramid is a 3 Dimensional image. When you slice a 3 Dimensional image you form is a 2 Dimensional image for example a rectangle, a square, a triangle e.t.c.
The shape of the cross sections formed after slicing a 3 Dimensional image is dependent on the way it was sliced.
This means it can be sliced horizontally or vertically and this would result in different shapes.
If square pyramid is sliced parallel to the base and halfway up the pyramid, the shape of the cross section formed is a square smaller than the base.
Answer:
the first one
Step-by-step explanation:
Explain what the similarities and difference between y=2cosx and y=2cosx-3.
Answer:
(See explanation for further details)
Step-by-step explanation:
Similarities: Both expression have the same slope for the same values of x.
Difference: The second expression is a translated form of the first function in -3 units.
Which algebraic expression has like terms? 9 n cubed minus 2 n + 3 minus 4 n squared 7 n cubed + 3 n minus 3 minus 6 n squared 7 n cubed + 4 n minus 3 n cubed minus 5 n squared 6 n cubed minus 4 n Superscript 4 Baseline + 6 n minus 5 n squared
Question
Which algebraic expression has like terms?
[tex]9n^3 - 2n + 3 - 4n^2[/tex]
[tex]7n^3 + 3n - 3 - 6n^2[/tex]
[tex]7n^3 + 4n - 3n^3 - 5n^2[/tex]
[tex]6n^3 - 4n^4 + 6n - 5n^2[/tex]
Answer:
A. [tex]9n^3 - 2n + 3 - 4n^2[/tex]
B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]
Step-by-step explanation:
Given:
The above expressions
Required:
Expressions with like terms
Algebraic expressions are said to have like terms if and only if the have the equivalent exponents;
Like terms are dependent on the exponents and are independent on the sign of each terms.
Listing out the exponents of each options;
A. [tex]9n^3 - 2n + 3 - 4n^2[/tex]
The exponents of n are 3 1 0 2
Rearrange: 0 1 2 3
B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]
The exponents of n are 3 1 0 2
Rearrange: 0 1 2 3
C. [tex]7n^3 + 4n - 3n^3 - 5n^2[/tex]
The exponents of n are 3 1 3 2
Rearrange: 1 2 3 3
D. [tex]6n^3 - 4n^4 + 6n - 5n^2[/tex]
The exponents of n are 3 4 1 2
Rearrange: 1 2 3 4
From the list of exponents above, only A and B are equal;
Hence, the following expressions have the like terms
A. [tex]9n^3 - 2n + 3 - 4n^2[/tex] and B. [tex]7n^3 + 3n - 3 - 6n^2[/tex]
triangle xyz is similar to triangle abc solve for k
Answer:
k = 13.5
Step-by-step explanation:
We can use ratios to solve
3 4.5
---- = ---------
9 k
Using cross products
3k = 9*4/5
Divide each side by 3
3k/3 = 9*4.5/3
k =13.5
Can i get some help pwease
Answer:
Hey!
Your answer is Y=-5x-6
Step-by-step explanation:
Using the formula y=mx+c...
m=slope c=y-intercept
The coordinate s(the c) it's given you are the coordinates for the y-intercept so we only write the y-value down (the -6)
The m is the slope do we write the slope value (-5)
Which forms y=-5x-6
HOPE THIS HELPS!!
Ashley collects colored golf balls from a miniature golf course. She will randomly select one ball from her collection of 9 blue, 7 magenta, and 2 purple golf balls. Develop a probability model based on theoretical probability.
1. What is the total number of colored golf balls in Ashley’s collection?
2. What is the sample space?
S =
3. What is the theoretical probability that each event in the
sample space occurs?
Answer:
18 golf balls in all, 1/18 is the answer
Step-by-step explanation:
Answer:
1. 18
2. {blue, magenta, purple}
3. P(blue) = 1/2
P(magenta) = 7/18
P(purple) = 1/9
Step-by-step explanation:
Total balls:
9 + 7 + 2 = 18
Sample space: all possible outcomes
{blue, magenta, purple}
P(blue) = 9/18 = 1/2
P(magenta) = 7/18
P(purple) = 2/18 = 1/9
what is the radius and diameter of a 14cm circle
Answer:
Radius= 7cm
Diameter= 14cm
Step-by-step explanation:
Hope it Helped!!
He Jones family has saved a maximum of $750 for their family vacation to the beach. While planning the trip, they determine that the hotel will average $125 a night and tickets for scuba diving are $75. The inequality can be used to determine the number of nights the Jones family could spend at the hotel750≥75 + 125h What value of h does NOT make the inequality true?
Answer:
h<0
Step-by-step explanation:
75+125h ≤ 750
h≤ 8.333
for negative values of h the inequality will not hold true
What is the area of triangle ABC?
O 2.5 square units
O 3 square units
O 3.5 square units
O4 square units
Answer:
3 square units
Step-by-step explanation:
Edge 2021
The area of triangle ABC will be 3 square units. Therefore, option B is the correct answer.
Triangle ABC in the figure below, where b= 3 units and h= 4 units.
The area of the triangle ABC= The area of the right triangle ABD - The area of the right triangle ACD
We know that, area of a triangle = 1/2 ×Base×Height
The area of the right triangle ABD
= 1/2 ×3×4
= 6 square units
The area of the right angled triangle ACD
= 1/2 ×3×2
= 3 square units
Now, difference = 6-3 = 3 square units
Therefore, option B is the correct answer.
Learn more about area of triangle here:
brainly.com/question/4075559.
#SPJ7
PLEASE HELLPPP
what is : -4(3-5)+10-3(7+4)+30
Answer:
15
Step-by-step explanation:
Use PEMDAS for this:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
-4(3-5)+10-3(7+4)+30 = -4(-2)+10-3(11)+30
-4(-2)+10-3(11)+30 = 8+10-33+30
8+10-33+30 = 18-33+30
18-33+30 = -15+30
-15+30 = 15
what is 2 + 2? and how does that work
Answer:
4
Step-by-step explanation:
According to Google "the reason 2+2 = 4, is because of their worth. put 2 fingers up (not to your mother), on both hands. start counting them and you'll have 4."
Anthony earned the following amount for baby-sitting his brother over winter break: $5, $10, $10, $10, $5, $10, $20, $10, $5, $20, $20, $20, $10, $5, $5. What is the mean and median amount he earned each day?
Answer:
mean is $11
median is $10
Step-by-step explanation:
On a coordinate plane, a line is drawn from point A to point B. Point A is at (negative 8, negative 13) and point B is at (4, 11). What are the x- and y- coordinates of point P on the directed line segment from A to B such that P is One-third the length of the line segment from A to B? x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1 (1, 5) (0, 3) (–4, –5) (–5, –7)
Answer:
c
Step-by-step explanation:
Answer:
It is C
Step-by-step explanation:
Edg 2020
Plis help I need help
Answer:
meee tooo
Step-by-step explanation:
helpplppppppp
Answer: 8) All points with an x-coordinate of 0 means that the slope of the graph is 0 and all the points will always lie on the y-axis.
9) All points with a y-coordinate of 0 will always lie on the x axis.
Step-by-step explanation:
Rachel is making nachos for a party. The recipe calls for 23 cup of cheese for each plate of nachos. Part A How many full plates of nachos can Rachel make with 5 cups of cheese?
Answer: 0.22 plates
Step-by-step explanation:
Given that The recipe calls for 23 cup of cheese for each plate of nachos
1 plate = 23 cups
X plate = 5 cups
Cross multiply
5 = 23x
Make the x the subject of formula
X = 5/23
X = 0.22
Or 5/23 plate
how to simply this equation
Answer:
[tex]\sqrt[3]{2}[/tex]
Step-by-step explanation:
18
9 . 2
3 3
What is a straight line from the center to the circumference of a circle
Answer:
From the CENTER, it would be radius of the circle
Step-by-step explanation:
Stretching across the entire circle is diameter, while from the center is radius.
Solve the system of equations by the substitution method.
y=5x+6
y=9x+7
Answer:
When finding the value of x let y be 0 and when finding value of y let x be 0 and get your answers.
Plzzzzzzz help In the number 3.9928, how does the value of the 9 in the tenths place compare to the value of the 9 in the hundredths place? Drag and drop a fraction into the box to correctly complete the statement. The value of the 9 in the tenths place is the value of the 9 in the hundredths place.
Answer:
This means that the value of 9 in the hundredth place is 1/10 the value of 9 in the tenth place
or
The value of 9 in the tenth place is 10 times the value of 9 in the hundredth place
Step-by-step explanation:
The decimal we are considering is 3.9928
The 9 in the tenth place has a value of 0.9
The value of 9 in the hundredth place has a value of 0.09
Now, what fraction of the 9 in the tenth place is the 9 in the hundredth place.
To mathematically get this, we just need to place the value of 9 in the hundredth place over the value of 9 in the tenth place;
Mathematically, that would be;
0.09/0.9 = 0.1 = 1/10
This means that the value of 9 in the hundredth place is 1/10 the value of 9 in the tenth place
or
The value of 9 in the tenth place is 10 times the value of 9 in the hundredth place
What is the area of this irregular figure?
A figure can be broken into 2 rectangles. One rectangle has a base of 16 centimeters and height of 8 centimeters. The other rectangle has a base of 8 centimeters and height of 8 centimeters.
128 Centimeters squared
192 Centimeters squared
256 Centimeters squared
512 Centimeters squared
Answer:
192cm²
Step-by-step explanation:
If you cut the shape into 2 and you do 8×8 which is 64cm²
Then you work out the area of the other part of the shape which is 8×16=128cm² then add them two together which is 192cm²
Answer:
here's the answer and proof in the image below
Step-by-step explanation:
Find the indicated sum for each geometric series.
S6 for 2 + 1 + 12 + 14
Answer:435
Step-by-step explanation:
Area of a Circle
10 POINTS+BRAINLIEST
Answer:
Circle 1 = 24 pi in² = 452.2 in²
Circle 2 = 706.5 in²
Circle 3 = 271.6 in²
Step-by-step explanation:
In order to find the Diameter of a circle, you have to multiply the radius by 2. According to circle 1, 12in (radius) multiplied by 2 gets you 24 pi in².
In order to find the area, you multiply the radius² and then multiply it by pi or 3.14.
Is green the circumference or the diameter??? Had a little bit of confusion in that part, but I gave you the area only for Circle 2 and 3. For circle 1 I found the diameter (24 pi in²) and the area.
A gardener a coordinate grid to design a new garden. The gardener uses a polygon WXYZ on the grid to represent the garden. The vertical of this polygon are W (3, 3), X (- 3, 3), Y (-3, -3) Z (3, -3). Each grid unit represents one yard. Find the area of the garden.
Answer:
Find the area of the square using the length of the segment WX as the sides.
s = |2 |+ | −2 | = 2 + 2 = 4 yards
Then A = s2 = 42 = 16 square yards.
Step-by-step explanation:
I got the same question but with different numbers so you could just use the formula to find you answer.
Explain the three steps when using distributive property to write an equivalent expression.
Answer:
Step-by-step explanation:First you apply the distributive property to create equivalent expressions, then you use algebra tiles to write equivalent expressions, and finally you verify that two different values of the variable yield the same value for each expressions, then the expressions are equivalent .
what is 10 + x = 24?
Answer:
x=14
Step-by-step explanation:
subtract 10 on both sides
24-10=14
x=14
Answer:
x = 14
Step-by-step explanation:
10 + x = 24
-10
x=14
( You subtract 10 from both sides. 24-10 =14. Therefore x =14
Select ALL equations that have a solution of 6.
A
x + 6 = 9
3
B
4x + 15 = 29
C
x + 9 = 5
3
D
2(x + 5) = 18
