[tex]\\ \rm\Rrightarrow {}^{35}C_{12}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{35!}{12!(35-12)!}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{35!}{12!23!}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1.0333148e+40}{12383157381152686026522624000000}[/tex]
[tex]\\ \rm\Rrightarrow 834451800[/tex]
Answer:
834,451,800
Step-by-step explanation:
Factorial is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.
Example: 4! = 4 × 3 × 2 × 1
Binomial Coefficient
[tex]\large \text{$ \rm ^{n}C_r=\dfrac{n!}{(n-r)!r!} $}[/tex]
[tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35!}{(35-12)!12!} $}[/tex]
[tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35!}23!12!} $}[/tex][tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35!}{23!12!} $}[/tex]
[tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35 \times 34 \times 33 \times ... \times 25 \times 24}{12!} $}[/tex]
[tex]\large \text{$ \rm \implies ^{35}C_{12}=834451800 $}[/tex]
If a=2-√5/2+√5 and b=2+√5/2-√5 find (a+b)³
Step-by-step explanation:
really ? you need help here ... - that means you did not even look at it once ...
a = 2 - sqrt(5)/2 + sqrt(5)
b = 2 + sqrt(5)/2 - sqrt(5)
a + b = 2 + 2 = 4 (the rest add up to 0)
(a+b)³ = 4³ = 64
Answer:
64
Step-by-step explanation:
Given :
a = 2 - √5/2 + √5b = 2 + √5/2 - √5Evaluating (a + b)³ :
(2 - √5/2 + √5 + 2 + √5/2 - √5)³(2 + 2 - √5/2 + √5/2 + √5 - √5)³(4)³6421 ounce of cat food equally among 4 cats
Answer:
5.25
Step-by-step explanation:
Using multiplication, if you do 4x5 you get 20, so adding .25 to the equation will add 1, therefore 20+1=21
So long story short 4 x 5.25 = 21
Write the equation of the function that
can be modeled by this table?
Answer:
y = 3x + 5
Step-by-step explanation:
y = mx + b (slope-intercept form)
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
Slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] ) (point-slope form of linear equation)
~~~~~~~~~~~~~~~
HELP ASAP PLEASE!! The Great Pyramid of Cheops is the largest pyramid in the world. It was built around 2500 B.C. by Khufu, or Cheops, a king of ancient Egypt. The pyramid has a square base of 230 meters on each side and a height of 147 meters. Find the volume of the pyramid if the slant height is 186.63 meters.
Answer:
138, 460 m²
Step-by-step explanation:
How To Find Volume of Pyramid With Slant Height? If 'x' is the base length, 's' is the slant height, and 'h' is the height of a regular pyramid, then they satisfy the equation (the Pythagoras theorem) (x/2)2 + h2 = s2.
1/3 off the regular price of $51
Answer:
34.00
Step-by-step explanation:
because get the discounted price, subtract the discount from the original price. To illustrate this principle, here is an example: to take 1/3 off $36.00, divide 36 by 3 and multiply by 1. This becomes 36/3 x 1 to equal 12, which represents a discount of $12.00
A construction firm is building a football stadium. The building work has taken 499 days so far. It should take another 199 days to build. How many days will the building work take in total
499
199
+------- the answer is 698 you have to add 499 and 199.
Find the area: (I will give brainliest) +50 points.
Answer:
[tex]A_{total} = 16\ cm^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the top rectangle
We can tell that the total shape seems like two rectangles glued together. We can separate the top rectangle and determine the area of it and then determine the area of the bottom rectangle and combine them. Lets first solve the left rectangle.
[tex]A=l*w[/tex]
[tex]A_{top\ rectangle}=6\ cm * 2\ cm[/tex]
[tex]A_{top\ rectangle}=12\ cm^2[/tex]
Step 2: Determine the area of the bottom rectangle
[tex]A=l*w[/tex]
[tex]A_{bottom\ rectangle}=2\ cm * 2\ cm[/tex]
[tex]A_{bottom\ rectangle}=4\ cm^2[/tex]
Step 3: Determine the total area
[tex]A_{total}=A_{top\ rectangle}+A_{bottom\ rectangle}[/tex]
[tex]A_{total}=12\ cm^2+4\ cm^2[/tex]
[tex]A_{total} = 16\ cm^2[/tex]
Answer: [tex]A_{total} = 16\ cm^2[/tex]
Break in middle horizontally
For square (Below)
Area =Side²=2²=4cm²For rectangle
Area =LB=6(2)=12cm²Total area
12+416cm²Which of the following are statistical questions? Select all that apply.
How many books did the students at this school read over the summer?
What is your favorite ice cream flavor?
How many letters are in the first name of each person in this class?
How many hours do the students in this class sleep each night?
How many hours a night do you spend on homework?
How many chocolate chip cookies were made in the bakery last week?
What are the coordinates of the focus of the parabola?
y=−0.25x2+6
Bruno says that the product n x 4/5 is greater than 4/5 because multiplication always increases a number. Which of the following values for show that Bruno is incorrect? 8/8 6/5 5/4 3/4 2
Answer:
The fourth option shows how Bruno is incorrect
Step-by-step explanation:
Multiplication does not always result in a number greater than the initial value. If n can be any value, then Bruno's claim is false. For instance, multiplying a value greater than one by a decimal will perform the inverse operation (division):
3 × 0.87 = 2.61
When multiplying fractions of 1, this occurs when the multiplied number is greater than the multiplier:
0.55 × 0.21 = 0.1155
If decimals are not allowed, multiplying positive and negative values will give the positive result but with the inverse sign, which is less than the initial one since the result is less than 0:
12 × -2 = -24
Now back to the example. If we let n = 0.75 (3/4);
0.8 × 0.75 = 0.6
Hope that clears things up.
The rule for a pattern is subtract 4. The first number of the pattern is 41. Which choice is true about this pattern?
A.The numbers in the pattern are even.
B.The numbers in the pattern are odd.
C. The numbers alternate between even and odd.
Answer:A
Step-by-step explanation:
the correct choice is: B. The numbers in the pattern are odd.
To determine if the numbers in the pattern are even, odd, or alternate between even and odd, let's examine the first few numbers in the pattern:
First number: 41
Second number: 41 - 4 = 37
Third number: 37 - 4 = 33
Fourth number: 33 - 4 = 29
As we can see, the numbers in the pattern are decreasing by 4 in each step. The first number (41) is odd, and subsequently, each number is decreasing by an even value (4). Therefore, all the numbers in the pattern will be odd.
So, the correct choice is:
B. The numbers in the pattern are odd.
Learn more about pattern here
https://brainly.com/question/11170254
#SPJ2
Need urgent help! Right answer
Answer:
2,772 m^2
Step-by-step explanation:
First you would need to convert the cm to m before multiplying L times W in order to get the area. 28 x 3 is 84 and 11 x 3 is 33. Then you would multiply 84 x 33 in order to get 2,772.
Find the slope of the given line. See attached photo
solve by elimination
(show all your work)
14x = 2y + 16
5x = y + 2
Answer:
x=3
y=13
Step-by-step explanation:
Multiply the second equation by 2:
2(5x=y+2) = (10x=2y+4)
Subtract one equation from the other:
14x=2y+16
- 10x=2y+4
= 4x=12
Solve for x:
4x=12
x=3
Solve for y by plugging in x:
5(3)=y+2
15=y+2
13=y
Will a pencil of length 19cm fit in the beaker without poking out of the top?
Answer:
Pencil will poke out everytime, no matter if it lays diagonally, or strictly vertically, because pencil's length is greater than the height and diagonal of the beaker
What are the solutions to the equation?
x²-12x+36=4
Enter your answers in the boxes.
x1 =
x2=
The roots of this equation equation are:
x1 = 4
x2 = 8
This sentence given in the statement of this question is: Equation of the Second Degree. There are a few ways to solve it, but let's calculate by the factorization method.
Equation given: x² - 12x + 36 = 4
First, let's multiply the 12 and 36 term into factors (factoring):x² - 12x + 36 = 4
12x ➯ 2x . x6
36 ➯ 6²
x² - 2x . x6 + 6²
( x - 6 )² = 4
Now we remove the parentheses and we will transform the exponent 2 into the square root of its original number:( x - 6 )² = 4
x - 6 = ±√4
x - 6 = ±2
We will organize the equation in two forms, being: positive and negative:x - 6 = ±2
x - 6 = -2
x - 6 = +2
Finally, let's calculate the first degree equation:x - 6 = -2
x = -2 + 6
x = 4
x - 6 = +2
x = 2 + 6
x = 8
Therefore, the correct results of this equation, will be:
x1 = 4
x2 = 8
512=-4(-2)^n-1 find n in geometric sequence
Answer:
n = 8
Step-by-step explanation:
512/-4 = -128
-2^? equals -128? Has to be odd since it's negative
-2^1 = -2
-2^3 = -8
-2^5 = -32
-2^7 = -128
But it's -2^n-1 = -128 so you have to add 1
7+1 = 8
So n=8
Answer:
n = 8
Step-by-step explanation:
Rearrange the equation to find n:
512/-4 = [tex](-2)^{n-1}[/tex]
-128 = [tex](-2)^{n-1}[/tex]
[tex](-2)^{7}[/tex] = -128
So, n-1 = 7
n = 8
Helllppppppp I can’t figure this out
Answer:
Step-by-step explanation:
2x^2 + 9x + 4=0
2x^2+8x+x+4=0
2x(x+4) +1 (x+4) =0
2x+1 = 0
x+ 4 =0
2x= -1
x= -1/2
x=-4
Therefore x = -4 and x = -1/2
48 divided by 76.8
I am very confused on the two digits numbers
4 divided by 5yards 1 foot
PLEASE HELPPPPP IM OFFERING 100 POINTS
Answer:
36
Step-by-step explanation:
The angles of the triangle are equal.
Hence, the sides of the triangle must also be equal.
It is an equilateral triangle.
Equating JK and KL :
2x + 24 = 10x - 2410x - 2x = 24 + 248x = 48x = 6Finding KL :
KL = 10(6) - 24KL = 60 - 24KL = 36All angles are equal means all sides are equal
2x+24=10x-2424+24=10x-2x48=8xx=48/8x=6KL
10x-2410(6)-2460-2436which digit is in the hundredths place of the decimal number 6.537?
If each single outcome is equally likely, you can use the table to help calculate probabilities. What is the probability of getting one head and one tail, on either coin?
a.
P(1 head and 1 tail)
b.
P(1 head and 1 tail)
c.
P(1 head and 1 tail)
d.
P(1 head and 1 tail)
--
the probability of getting one head and one tail on the toss of two coins is 0.5percent chance
Solve for Unknown: x/10=43/46.
Do not put variable, only put the number value to the nearest whole number
Answer:
9
Step-by-step explanation:
x= 430/46
x=9.35 approximately 9( nearest whole number)
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Use the net to find the surface area of the square pyramid
Answer:
333 ft^2
Step-by-step explanation:
Surface area is the sum of all the areas of the shape.
First, the area of the square in the center is simply 9x9 = 81.
The area of a triangle is (bh)/2, where b = base, and h = height
In the triangle, 9 is the base, and 14 is the height:
(9x14)/2 = 63
There are four triangles of the same area:
63 x 4 = 252
252 + 81 = 333
Answer:
333ft^2
Step-by-step explanation:
Which fraction is shown on the number line?
A number line from 0 to 1. There are 4 unnumbered points between 0 and 1. There is a circle is on the fourth point.
One-fifth
One-fourth
Four-fifths
Five-sixths
find g(-3) g(2) g(4)
Answer:
[tex]\frac{1}{2}[/tex] , 2 , 4
Step-by-step explanation:
x = - 3 ≠ 2 , then
g(- 3) = [tex]\frac{1}{2}[/tex] × (- 3)² - 4 = [tex]\frac{1}{2}[/tex] × 9 - 4 = [tex]\frac{9}{2}[/tex] - 4 = [tex]\frac{1}{2}[/tex]
x = 2 then g(2) = 2
x = 4 ≠ 2 , then
g(4) = [tex]\frac{1}{2}[/tex] × 4² - 4 = [tex]\frac{1}{2}[/tex] × 16 - 4 = 8 - 4 = 4
pls answer quickly, thanks !!
Answer:
14762 ft³
Step-by-step explanation:
Volume of top prism
V = 61 x 8 x (19 - 3)V = 488 x 16V = 7808 ft³Volume of bottom prism
V = 61 x 38 x 3V = 183 x 38V = 6954 ft³Total volume = Volume (top) + Volume (bottom)
7808 + 695414762 ft³Please help me with this thing please
find the distance between the points (8, 0) and (0, B)
Answer: B
Answer:
The difference is 8
Step-by-step explanation:
