There is a crossword that has three squares that need to be filled, how many possible three letter arrangements is 26!/23.
To find the number of possible three letter arrangements.
what is permutation and combination?An arrangement of things in a certain sequence is what we refer to as a permutation. The constituents or components of sets are presented in this section in a sequential or chronological fashion. A coming together or merging of several parts or characteristics in which each of the constituent parts or traits retains its unique identity.
Given that:
26 possible letters
assuming you can repeat them
26*26*26
no listed
ok, lets assume that you can't repeat them
that is 26 times 25 times 24 (because you used 1 each time)
that is 26!/23 (because 26*25*24*23!=26!)
Hence, the number of possible three letter arrangements is 26!/23.
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Option is missing
A.26!
B.26!/3!
C.23!
D.26!/23
You need to cross a canal and want to determine the distance across the opposite side. Since you're able to take measurements on your side of the canal, you come up with 40 ft. and 16 ft. Find the distance x across the canal . Show all work
Answer:
36.7 ft
Step-by-step explanation:
Measurements for the sides of the canal is given as: 40 ft. and 16 ft.
You solve the above question using Pythagoras Theorem
The distance across the canal is calculated as:
√(40² - 16²)
= √(1344)
= 36.66060556 ft
Approximately = 36.7 ft
Therefore, the distance x across the canal = 36.7 ft
Show that f(x) f(y) - f(x+y), where f(x)= [cos x - sin x o] [sin x cos x o] [o o 1]
Answer:
The answer is below
Step-by-step explanation:
Show that f(x) f(y) = f(x+y)
From trigonometric:
sin(x + y) = sinxcosy + cosxsiny
sin(x - y) = sinxcosy - cosxsiny
cos(x + y) = cosxcosy - sinxsiny
cos(x - y) = cosxcosy + sinxsiny
[tex]f(x)=\left[\begin{array}{ccc}cosx&-sinx&0\\sinx&cosx&0\\0&0&1\end{array}\right] ,f(y)=\left[\begin{array}{ccc}cosy&-siny&0\\siny&cosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cosxcosy-sinxsiny&-cosxsiny-sinxcosy&0\\sinxcosy+cosxsiny&-sinxsiny+cosxcosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\[/tex]
[tex]f(x+y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\Therefore\ f(x)f(y)=f(x+y)[/tex]
The product of two consecutive positive integers is 56. Find the two integers
Answer:
Two consecutive integers are of the form
x and x + 1
Their product is equal to 56
x(x + 1) = 56
Solve and find the two numbers x and x + 1. The above equation may be written as follows
x2 + x - 56 = 0
Factor and solve
(x - 7)(x + 8) = 0
solutions: x = 7 , x = -8
x= - 8 is not valid since the number sought must be positive. Hence
x = 7 and x + 1 = 8 are the two consecutive numbers.
Step-by-step explanation:
A cement truck pours cement into a container in the shape of a cylinder with a radius of 4 feet. The height, h, of the cement in the container increases at a rate of approximately 10 inches per minute. Write an equation that models the volume, V, of the cement in the container in terms of h, then use the equation to determine the time at which the volume is 80π cubic feet. Note that the volume of a cylinder is V=πr2h, where r and h are the radius and height of the cylinder.
Answer:
2009.6 and 13824 minutes and 230.4 hours
Step-by-step explanation:
v=3.14 x 4 x 2 x 80= 2009.6
Solve the system of linear equations
Answer:
There are infinite answers. it is the same line
Answer:
Infinite solutions
Step-by-step explanation:
Please answer this immediately pleasee
Please i need it now
[tex]2 \sin(x) - \sqrt{3} = 0[/tex]
[tex] when\frac{\pi}{2} \leqslant x \leqslant \pi[/tex]
Given:
The equation is
[tex]2\sin x-\sqrt{3}=0[/tex]
When [tex]\dfrac{\pi}{2}\leq x\leq \pi[/tex].
To find:
The value of x.
Solution:
We have,
[tex]2\sin x-\sqrt{3}=0[/tex]
It can be written as
[tex]2\sin x=\sqrt{3}[/tex]
[tex]\sin x=\dfrac{\sqrt{3}}{2}[/tex]
It is given that [tex]\dfrac{\pi}{2}\leq x\leq \pi[/tex].
[tex]\sin x=\sin \left(\pi-\dfrac{\pi}{3}\right)[/tex]
[tex]x=\dfrac{3\pi-\pi}{3}[/tex]
[tex]x=\dfrac{2\pi}{3}[/tex]
Therefore, the value of x is [tex]\dfrac{2\pi}{3}[/tex].
solve -3 (x + 1) - 2x= -6
A x=1
B x=5
C x = -7
D x = -9
Answer: C
Step-by-step explanation:
A rectangle is 2/5 inches long and
1/3 inches wide what is the area of the rectangle
Answer:
2/15 inches
Step-by-step explanation:
(2/5)*(1/3)=2/15in
PLEASEE HELP ME I DONT KNOW HOW TO DO THIS !!
Can you just get KA answers from somewhere Help me? pleases
Answer:
I went through khan academy and the answer is this.... Also what is your microsoft teams Account?
Step-by-step explanation:
I am not very good at math, and my daughter finished her math assignment and wasn't sure if she did everything correctly. Can someone make sure this is correct?
Answer:
I think its correct I don't know tho
Step-by-step explanation:
Which equation represents a line which is parallel to the line y=2x-5
1. 2x+y=8
2.x+2y=-4
3.y-2x=-8
4.x-2y=6
Answer:
3
Step-by-step explanation:
when two lines are parallel, they have the same slope
you can find slop by changing the equation to slope intercept form (y=mx+b), m being the slope
slopes:
1. -2
2. -1/2
3. 2
4. 1/2
Answer:
3. y-2x=-8
Step-by-step explanation:
Plz help me step by step explanation would help for work plzzzz And Thank you
Answer:
Step-by-step explanation:
5z=75
5z/5=75/5
z=15
how to find cp if loss and sp are given
Step-by-step explanation:
[tex] \tt{ \: H \: E \: Y \: \: T \: H \: E \: R\: E \: }[/tex] !
When Loss and Selling price ( SP ) are given , Cost price ( CP ) can be found out using the following formulae :
✰ [tex] \large{ \boxed{ \boxed{ \tt{CP = Loss + SP}}}}[/tex]
[tex] \text{How \: did\: we \:get \:the \: formula : \: CP \: = Loss \: + \: SP} \: [/tex] ?
We simply derived the formula from Loss = CP - SP.
First , Swap the sides of the equation :
⟶ [tex] \text{CP - SP = Loss}[/tex]
Move SP to right hand side and change it's sign :
⟶[tex] \text{CP = Loss + SP}[/tex]
This is how , CP can be obtained when we are given loss and SP.
Hope I helped ! ♡
Have a wonderful day / night ! ツ
# [tex] \underbrace{ \tt{C \: a \: r \: r \: y \: \: O \:n \: \: L \: e \: a \: r \: n \: i \: n \: g}}[/tex] !!
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
A group of friends were working on a student film that had a budget of $1200. They used $756 of their budget on props. What percentage of their total budget did they spend on props?
Answer: 63
Step-by-step explanation:
756/x = 1200/100
Cross multiply
75600 divided by 1200x
= 63
The percentage of budget used by them is 63%, the calculation is done by using the percentage used method.
Percentage-based problem:What information do we have?
Amount of budget = $1200
Amount of budget used = $756
Percentage of budget used = [Amount of budget used / Amount of budget]100
Percentage of budget used = [756 / 1200]100
Percentage of budget used = 63%
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compllete the values for x + 2y = 7
What is the answer for g 3= g/3=-9
Answer:
1 = -9
Step-by-step explanation:
Just substitute 3 for g
then 3/3 = 1
one of mr jones autographed baseballs is worth $55.00. if the value increases by 3% in the next year, what will be the new value of the baseball
Answer:
56.83?
Step-by-step explanation:
The new value of the baseball is $56.65.
Given that, the cost of baseballs = $55.00 and the value increases by 3% in the next year.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Now, new value = 55+3% of 55
= 55 + 0.03 × 55
= 55 + 1.65
= $56.65
Therefore, the new value of the baseball is $56.65.
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six times the quantity two x plus three y
Answer:
12x + 18y
Lets first write the quantity "two x plus three y", this means, that we have x and y as unknowns. x is 2 times, so we have 2x; and y is 3 times, so he have 3y:
2x + 3y
Additionally we have that this quantity is six times, what means that it is multiplied by a number 6:
6(2x +3y)
If you like, we can apply the distributive property that means that given any three numbers a, b, c we have that a(b+c)=ab + ac. In our case a is 6, b is 2x and c is 3y. Thus, operating:
6(2x +3y) = 6*2x + 6*3y = 12x + 18y
So, "six times the quantity two x plus three y" is 12x + 18y
Step-by-step explanation:
Answer:
6(2x+3y)
Step-by-step explanation:
What is the least common multiple of 3, 2, and 9?
Answer:
18 is the LCM
PLEASE HELP!!!!!!!!!!!!!!!
Answer:
4 because 5 times 4 is 20 and 3 times 4 is 12
Answer:
c
switch them and then divide
Good luck:)
cual es el opuesto de -5
Answer:
I think number 5
Help?
1. List the terms in the expression using a comma to separate each term.
This question will be graded by your teacher. *
10x + 5 + 3x + 1
Vhur answer
2. list the coefficients in the expression,
Answer:
10x, 5, 3x, 1 There are four terms
2) The coefficients are 10 and 3
solve -2(3x – 1)-2x = -3 – 5x + 13
Answer:
×=11
Step-by-step explanation:
-2(3×-1)-2=-3-5×+13
-6×-1-2×=-3-5×+13
-6×+2×+5×=1-3+13
1×=11
×=11
"An airplane ends up 540 miles and 20 degrees north of east from its departure point. If there was a steady wind of 30 mph from the northwest during the entire flight, then find the magnitude and direction that the plane would have gone if there had been no wind".
Answer:
vr = [tex]540[/tex]
vp = 486.22 j + 205.9 j
Theta [tex]= 22.95[/tex]
Step-by-step explanation:
The resultant velocity vr = vp + vw
vp = vector velocity of plane and
vw = vector velocity of wind
vr = vector resultant velocity
in one hour the plane travels 540 miles and hence the speed is 540 mph
Hence vr = [tex]540[/tex]
vp = 486.22 j + 205.9 j
Theta
[tex]= tan^{-1}\frac{205.9}{486.22} \\= 22.95[/tex]
Find the missing point of the following parallelogram.
A (6, 5)
B (5, 3)
C (2, 4)
D (7, 5)
I just took the test and the right answer is 6,5
...what's
[tex] \sqrt{169} [/tex]
Answer:
√169=13
Step-by-step explanation:
can also be understood by 13×13=169
Answer:
13
Step-by-step explanation:
√169 = 13
(10^2 )^3
i need some help
Answer: 10^6
Step-by-step explanation:
When you take a power to a power, you can multiply the two powers:
10^6
Answer:
10^6 hope this helps you
An observer (O) spots a plane flying at a 42° angle to his horizontal line of sight. If the plane is flying at an altitude of 15,000 feet, what is the distance (x) from the plane (P) to the observer (O)?
A right triangle is shown with angle O marked 42 degrees, hypotenuse marked x, and height marked 15,000 feet.
10,035 feet
16,648 feet
20,188 feet
22,417 feet
Answer:
22,417
Step-by-step explanation:
Just took the test.
Pythagoras theorem states that for a right angle triangle the square of the hypotenuse is equal to the sum of the other two sides of the plane. The distance (x) from the plane (P) to the observer (O) is 22417.75 feet.
Given information-The observer angle to the plane is 42 degrees.
The height of the plane is 15000 feet.
As angle O is 42 degree and the height is 15000. Let suppose the base is y feet long. Thus angle O can be given as,
[tex]\begin{aligned} \tan42^o&=\dfrac{15000}{y} \\ y&=\dfrac{15000}{\tan42^o} \\ y&=16660\\ \end[/tex]
Thus the base of the right triangle is 16660 feet.
Pythagoras theoremPythagoras theorem states that for a right angle triangle the square of the hypotenuse is equal to the sum of the other two sides of the plane.
For the given problem the the hypotenuse side is x feet.
[tex]\begin{aligned}\\ x^2&=15000^2+16660^2\\ x&=22417.75\\ \end[/tex]
Thus the distance (x) from the plane (P) to the observer (O) is 22417.75 feet.
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