Find the number of distinct permutations of the letters in the word MATHEMATICS
Answer:
4989600
step by step explanation:
Step by step workout
step 1 Address the formula, input parameters and values
Formula:
nPr =n!
(n1! n2! . . . nk!)
Input Parameters & Values:
Total number of alphabets (n) & subsets (n1, n2, . . nk) in the word "MATHEMATICS"
n = 11
Subsets : M = 2; A = 2; T = 2; H = 1; E = 1; I = 1; C = 1; S = 1;
n1(M) = 2, n2(A) = 2, n3(T) = 2, n4(H) = 1, n5(E) = 1, n6(I) = 1, n7(C) = 1, n8(S) = 1
step 2 Apply the input parameter values in the nPr formula
=11!
(2! 2! 2! 1! 1! 1! 1! 1! )
=1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11
{(1 x 2) (1 x 2) (1 x 2) (1) (1) (1) (1) (1)}
=39916800
8
= 4989600
In 4989600 distinct ways, the letters of word "MATHEMATICS" can be arranged.
Please help by giving me the 3 digit code and a explanation.
Answer: 281
Step-by-step explanation:
A bag contains 6 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, , that all three marbles drawn will be green?
Answer:
Step-by-step explanation:
Not large
Total number of marbles = 4 + 7 + 6 = 17
Number of green marbles = 7
Probability of first marble being green = 7/17
Probability of the second marble being green = 6/16
Probability of the third marble being green = 5/15
Probability (3 green) = 7 / 17 * 6/16 * 5/15 = 210 / 4080 = 0.05147
Which is the equation of the parabola?
coordinate plane with a parabola facing down with vertex at negative 3 comma 0, the point negative 3 comma negative 5 and a horizontal line going through 0 comma 5
y = −one twentieth(x − 3)2
y = −one twentieth(x + 3)2
y = one twentieth(x − 3)2
y = one twentieth(x + 3)2
Answer:
y = -1/20(x + 3)²Step-by-step explanation:
Consider the parent function:
y = x²The graph of the function open up and the vertex is at the origin, the point (0, 0)
Now, if it opens down, it means it is a reflection of the parent function over x axis, hence it has a negative coefficient, the function becomes:
y = -x²The vertex is shifted to the point (-3, 0). It means the function also translated left by 3 units, the function becomes:
y = -(x + 3)²Since all the options have 1/20 as a coefficient, our function is:
y = -1/20(x + 3)²This is option B
hey guys i kinda need help with this one assignment for today THANKS
Answer:
Basic physics and common sense would say that of course they'd reach the same height if placed an equal distance away. I don't really know what else to do
Name two triangles that are congruent by ASA.
Answer:
correct
Step-by-step explanation:
Angle-Side-Angle (ASA) Postulate:
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
<C = <G
CA = GD
<A = <D
Triangle CAT = Triangle GDO are the two triangles that are congruent by the ASA Postulate.
The sum of two numbers is 53 and the difference is 23. What are the numbers?
Answer: The number is 38
Step-by-step explanation:
A circle with center O is shown. Create the equation for the circle.
Answer:
(5 - 1)^2 + (1 - 1)^2 = 4^2
Step-by-step explanation:
Circle equation: ( x - h )^2 + ( y - k )^2 = r^2
(h,K) is the coordinate of the center.
Center: (1,1)
(x,y) choose a point that could be the radius. (I choose the one on the top left side).
Point: (5,1)
Diameter: 8
Radius: 4
Plug in:
( x - h )^2 + ( y - k )^2 = r^2
(5 - 1)^2 + (1 - 1)^2 = 4^2 (or 16)
Solve to see if it's true,
(5 - 1)^2 + (1 - 1)^2 = 4^2 (or 16)
4^2 + 0^2 = 4^2
16 = 16 (This is true, therefore, the equation is correct).
Answer:(x-1)^2 + (y-1)^2=16
Step-by-step explanation:
I need help please thank you for your help
Step-by-step explanation:
Draw points at
(-1, -4)
(0, -2)
(1, 0)
(2, 2)
(3, 4)
Then draw a line through those points and that should do it.
This is the graph for the equation.
which angles are complementary to eachother
Answer:
1 and 5 are complementary angles
Step-by-step explanation:
A complementary angle is either of two angles whose sum is 90, meaning two opposite angles that add up to 90 degrees.
If you look at angle 3, you see that it is a right angle which is 90 degrees already so any answer containing 3 and another angle is incorrect.
Why 1 and 5 is the correct answer:
the angles 1 and 2 are right next to 3 which is a 90-degree angle, meaning that 1 and 2 add up to 90. angle 5 is opposite of 2 which means that angle 5 and 2 are equal.
So the 1 and 5 would add up to 90, making it the right answer.
Hope this helps you :)
A painter uses 2 1/2 cans of paint 1/4 of a room. How much of a room could he paint with 1 can of paint?
Answer:
1/10
Step-by-step explanation:
First, convert your numbers to decimals.
2.5 cans of paint cover 0.25 area of a room.
Equation:
2.5=0.25
If you divide 2.5 by 5, you'll get 0.5.
But what you do to one side, you do it to the other.
0.25÷5= 0.05
So now you have your new equation
0.5=0.05
since you want 1 can of paint, multiply it by 2.
1= 0.1
convert it back to fraction: 1/10
Determine for each number whether it is a rational or irrational number.
In order:
irrational
irrational
rational
rational
Completely factor the following expression
x^2+6xy+3y^2
Please answer this ASAP I have 10 minutes to finish it
Answer:
No solution
Step-by-step explanation:
Find the 15th term of the arithmetic sequence 2x+2, 8x-3, 14x-8, ...
Answer:
86x - 68
Step-by-step explanation:
Answer is attached....
HOPE IT HELPS:)can someone pls help!!
Answer:
[tex]y=-\frac{1}{9}(x-2)^2-3[/tex]
Step-by-step explanation:
When a quadratic equation is in the form [tex]y=a(x-h)^2+k[/tex] (vertex form):
The x-coordinate can be found by identifying which value makes [tex](x-h)^2[/tex] equal 0The y-coordinate can be found by identifying the k value (y=k)Therefore, if the vertex of the function is at (2,-3), h needs to be 2 for [tex](x-h)^2[/tex] to equal 0 and k needs to be -3. The only equation that displays this is G:
[tex]y=-\frac{1}{9}(x-2)^2-3[/tex]
I hope this helps!
The concert tickets for Saturday were reduced from $50 to $30. By what percentage was the concert tickets reduced?
Answer:
40% price reduction
Step-by-step explanation:
The tickets were reduced by 40% because 20 is 2/5 or 40% of 50 and that was the amount of the price reduction.
Answer:
%40
Step-by-step explanation:
Here is why:
Because every dollar coutns as 2% of the price so 20 * 2 is 40 and you will get %40!
Any Questions?
plz help with everything in the pic
HERE I TOOK PICTURES
i only understand number 11
3/5 of a number is 21 find the number
Answer:
35
Step-by-step explanation:
To find the original number multiply by the reciprocal of [tex]\frac{3}{5}[/tex] , that is
number = [tex]\frac{5}{3}[/tex] × 21 = [tex]\frac{105}{3}[/tex] = 35
Consider this data set: {49, 50, 45, 23, 35, 66, 34, 74, 54, 50}
The mean is:
The median is:
The mode is:
The range is:
Suppose the value 60 is added to the data set.
The mean increases by:
The median increases by:
The mode is:
The range is:
(PLS Copy and Paste this whole thing in your answer and write the answers)
Step-by-step explanation:
The mean is: 48
The median is: 49.5
The mode is: 50
The range is: 51
Suppose the value 60 is added to the data set.
The mean increases by: 1
The median increases by: .5
The mode is: 50
The range is: 51
i dont know how to solve plz help
Answer:
[tex]x^2+2x+1[/tex]
Step-by-step explanation:
When given the following expression,
[tex](x+1)(x+1)[/tex]
One must multiply every term in one of the parenthesis by every term in the other, thus, the resulting expression formed,
[tex](x)(x)+(1)(x)+(1)(x)+(1)(1)[/tex]
After distributing, simplify the expression, perform the multiplication and combine like terms,
[tex]x^2 + 2x + 1[/tex]
Help me find length of missing side
Answer:
x=20.26
Step-by-step explanation:
tan40°=17/x
x=17/tan40°
x=20.25981107 or 20.26
help shawty’s i’m stressin
Answer:
A dilation is a type of transformation that changes the size of the image. The scale factor, measures how much larger or smaller the image is. Each type of dilation (one that gets larger and one that gets smaller).
Step-by-step explanation:
I don't know if this'll be enough help, but it's a brief definition.
Find the vertex, focus, directrix, and focal width of the parabola. negative 1 divided by 40 x squared equals y
Answer:
2, 8, 90, 160
that is the focal, vertex l, direction
Figure 2 is a translation image of Figure 1. Write a rule to describe the translation.
The translation rule is (x,y) →(x+(blank),y+(blank).
Answer:
(x, y) → (x - 1, y + 2)Step-by-step explanation:
This is a translation left and up
Compare the coordinates of corresponding points:
(-2, -1) becomes (-3, 1)The difference is:
-3 - (-2) = - 1 for x and 1 - (-1) = 2 for yThe translation rule is:
(x, y) → (x - 1, y + 2)In ΔIJK, the measure of ∠K=90°, IJ = 8.6 feet, and KI = 4.5 feet. Find the measure of ∠I to the nearest tenth of a degree.
Answer:
m∠I = 58.4°
Step-by-step explanation:
cos = adjacent side/hypotenuse
It is always helpful to have a picture. In your case KI is adjacent to ∠I and IJ is the hypotenuse.
So cos I = KI/IJ = 4.5/8.6
arccos (4.5/8.6) = m∠I
m∠I = 58.4°
It is necessary for you to memorize the definitions of the trig functions in order to do these types of problems. OK?
Find the circumference of f
Answer:
its kinda hard to explain udisng words but mutiple to get acxorss then plit it and SFF and you should get the asnwer
Step-by-step explanation:
what do a congruent shape look like
Answer:
Hey! :)
Step-by-step explanation:
Hope this helps!
Have a nice day<3
Brewsky's is a chain of micro-breweries. Managers are interested in the costs of the stores and believe that the costs can be explained in large part by the number of customers patronizing the stores. Monthly data regarding customer visits and costs for the preceding year for one of the stores have been entered into the regression analysis and the analysis is as follows: Average monthly customer visits 1,462 Average monthly total costs $ 4,629 Regression Results Intercept $ 1,496 b coefficient $ 2.08 R2 0.86814 What is the percent of the total variance that can be explained by the regression equation
Answer:
The answer is "88.9%"
Step-by-step explanation:
The Variance percentage indicates through the REgression equation but, the R-Square, it becoming the determination coefficient. 88.871% of the variance could be explained according to the above results.
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Answer:
B
Step-by-step explanation:
Answer:
B is the correct answer.
hope it helps my friend.
plz mark me as brainliest if you want.
help plssssssssssssssssss
Answer:
1,075 ft
Step-by-step explanation:
So you need to find area
15 x 25 =375 ft
35 x 20 = 700 ft
add together to get total of both
700 + 375 = 1,075
Hopefully im right!