Answer:
what grade is this?
Step-by-step explanation:
Find both the number of combinations and the number of permutations for the given number of objects.
15 objects taken 7 at a time
Answer:
First, if we have a set of K elements, such that are ordered as:
{x₁, x₂, ...}
The total number of permutations for the K elements can be found in the next way.
For the first element in the set, we have K options.
For the second element in the set, we have (K - 1) options (because we already choose one)
For the third element we have (K - 2) options, and so on.
The total number of permutation is equal to the product between the numbers of options for each position's element, then the number of permutations for K elements is:
permutations = K*(K - 1)*(K - 2)*....*2*1 = K!
Now suppose that we have a set of N elements, and we want to make groups of K elements.
The total number of different combinations of K elements is given by the equation:
[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]
In this case we have 15 objects (then N = 15) and we take 7 at the time (Then K = 7)
Where we need to take in account the number of combinations and also the permutations for each combination.
Then the total number of different sets is:
C(15*7)*7!
First, the total number of combinations will be:
[tex]C(15,7) = \frac{15!}{(15 - 7)!7!} = \frac{15!}{8!*7!} = \frac{15*14*13*12*11*10*9}{7*6*5*4*3*2*1} = 6,435[/tex]
So we have 6,436 combinations, and each one of these combinations has 7! permutations.
permutations = 7! = 7*6*5*4*3*2*1 = 5,040
if we combine these we get:
Combinations*Permutations = 6,435*5,040 = 32,432,400
Answer:
7
Step-by-step explanation:
What is the value of C in the matrix equation below?
|-18 3 51-c-[-22 1 12
o -40
217]
01-40 27]
10142-7)
0 14 2 17]
Given:
The matrix equation is:
[tex]\begin{bmatrix}-18&3&5\end{bmatrix}-C=\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]
To find:
The value of matrix C.
Solution:
Let [tex]A=\begin{bmatrix}-18&3&5\end{bmatrix},B=\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]. Then the given equation can be rewritten as
[tex]A-C=B[/tex]
[tex]-C=B-A[/tex]
[tex]C=-(B-A)[/tex]
[tex]C=A-B[/tex]
On substituting the values of the matrices, we get
[tex]C=\begin{bmatrix}-18&3&5\end{bmatrix}-\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]
[tex]C=\begin{bmatrix}-18-(-22)&3-1&5-12\end{bmatrix}[/tex]
[tex]C=\begin{bmatrix}-18+22&2&-7\end{bmatrix}[/tex]
[tex]C=\begin{bmatrix}-4&2&-7\end{bmatrix}[/tex]
Therefore, the correct option is C.
Answer: C
Step-by-step explanation: [ 4 2 -7 ]
Find the area of the trapezoid.
22.2 cm
9.86 cm
8.52 cm
[? ]cm2
Enter the exact answer. Do not round
Answer:
151.4496
Step-by-step explanation:
it has not been rounded or anything that is the exact answer
Answer: 151.45 (151.4496)
Step-by-step explanation:
Formula: A = (a+b)/2 * h
Base = 22.2
Base = 8.52
Height = 9.86
Do the following:
(22.2+8.52)/2 * 9.86 = 151.4496
What is the area of this figure?
9514 1404 393
Answer:
288 cm²
Step-by-step explanation:
The figure decomposes into two rectangles and a triangle.
It is helpful to realize the overall horizontal length of the figure is 16+10+6 = 32 cm. That means the triangle at lower left has a width of 32-13 = 19 cm. Of course the bottom rectangle has a width of 10+6 = 16 cm.
The upper rectangle has an area of ...
A = LW = (6 cm)(4 cm) = 24 cm²
The lower rectangle has an area of ...
A = LW = (16 cm)(7 cm) = 112 cm²
The triangle has an area of ...
A = 1/2bh = 1/2(19 cm)(16 cm) = 152 cm²
__
Then the total area of the figure is ...
24 cm² +112 cm² +152 cm² = 288 cm²
Find the area of the shape below
Answer:
3sqft
Step-by-step explanation:
Note that you can draw the segment AH and notice that you have 2 triangles with base 2ft and height 1.5ft each.
The area will be 2 * (2ft * 1.5ft / 2) = 3sqft
Answer:
6 ft^2
Step-by-step explanation:
Area: A = (ab)/2 where a is the H-A and b is M-T
Plugin the numbers: A = (2 x 6)/2 = 6 ft^2
Brainliest for correct answer
Could someone explain to me how to solve any one of these problems so that I could solve the rest of them on my own? I already know the asymptote and the y-intercept, but I'm unsure of how to find the maximum/minimum.
Answer:
what in the world is this
Answer: Maybe asymptote means the lowest number and y-intercept means the second lowest and minimum means medium and maximum means the highest number.
I'm sorry if this doesn't help but i'm still in 3rd grade.
Given vector v=<-2,-1>, find 5v.
Answer:
5v=(-10;-5)
Step-by-step explanation:
&3*$*'hskjekfjcjcnnnnsnd
Which one is right can y help me
Answer:
What are you trying to find out? Like what do you mean by which one is right?
Step-by-step explanation:
Of three consecutive odd integers, k is the middle one. If the difference between
the products of the last two and first two is 28, find the three integers.
Sketch the graph using 3 points that belong to it. y = -3x+2
Answer:
Step-by-step explanation:
Please help!!!!!!!!!
Answer:
-1 is the remainder
hope it helps
What are the solutions of the equation 9x4 - 2x2 - 7 = 0? Use u substitution to solve.
Answer: this is what i got hope this helped i took a sceernshot of it
Step-by-step explanation:
ples make brainly
If log 7 =0.845, find log (7200).
Answer:
corbet. orbet
Step-by-step explanation:
nsjebfndnjetjjcs
Hi here is the problem
Answer:
Look at the image.
Step-by-step explanation:
24 ÷ 4 = 6
6 × 9 = 54
24 ÷ 3 = 8
8 × 5 = 40
2. Find the amount in an account where $500 is invested at 2.5% compounded continuously for a period of 10 years
Answer:
A = 642.01
Step-by-step explanation:
Given:
P = 500
r = 2.5% or 0.025
t = 10
Work:
[tex]A=Pe^{rt}\\\\A=500e^{0.025*10}\\\\A=500e^{0.25}\\\\A=642.01[/tex]
on a recent hike through riverbend park antoinette traveled 2/3 mile in 1/3 hour . Which unit rate describes antoinettes speed in miles per hour
Answer:
Her speed is of 2 miles per hour.
Step-by-step explanation:
Velocity:
The velocity is given by the following formula:
[tex]v = \frac{d}{t}[/tex]
In which v is the velocity, d is the distance and t is the time.
2/3 mile in 1/3 hour .
This means that [tex]d = \frac{2}{3}, t = \frac{1}{3}[/tex]
Which unit rate describes antoinettes speed in miles per hour?
This is v. So
[tex]v = \frac{d}{t} = \frac{\frac{2}{3}}{\frac{1}{3}} = \frac{2}{3}*\frac{3}{1} = 2[/tex]
Her speed is of 2 miles per hour.
please help, thank you (brainly if ur right)
Answer:
SAS ~
Step-by-step explanation:
Triangle ABC is similar to triangle DEF. how long is EF?
A) 4
B) 10
C) 14
D) 12
Answer:
The answer is D) 12
Step-by-step explanation:
Multiple 4 by 3
A share of stock LOSES value in each week of a month. In which quadrant would the data points for this situation be graphed? ( The 2 variables are WEEKS and STOCK PRICE)
Answer:
Quad III
Step-by-step explanation:
III.
The two-way table shows the number of students in a school who bring their lunch and/or who ride the bus:
Bring Lunch Do Not Bring Lunch Total
Ride Bus 40 35 75
Do Not Ride Bus 55 2 57
Total 95 37 132
How many more bring lunch than ride the bus? (4 points)
The correct answer is 20
Answer:
20
Step-by-step explanation:
People who don't ride the bus and bring lunch: 55
People who ride the bus and don't bring lunch: 35
55 - 35 = 20
Hope this helps!
3) Consider the function f defined by
f(x) = (3 - x)(4 + 3x). At what point does
the curve y=f(x) intersect the y-axis?
Answer:
(0,12)
Step-by-step explanation:
Let x = 0, solve the equation.
6 cm
6 cm
1
6 cm
9 cm
-6 cm
-15 cm
Answer:
180 cm^2
Step-by-step explanation:
Remark
If you put the slices that have been removed back into the figure, and figure out the resulting rectangle and subtract the slices, you get an answer that is easily calculated.
Note
The square on the upper right is 6 cm high. That makes the width of the rectangle 9 + 6 = 15. The length is already known as 15. So this square is 15 by 15 = 225
The lower right triangle is a little harder to handle. The total width is 15. The height of the triangle is 6 + 6. The first 6 comes from the square that was removed. The total with is 15. So the height of the lower right triangle is 15 - 12 = 3
Answer
The answer to the square on the upper left that was removed = 6*6 = 36
The answer to the triangle on the lower right is 1/2 * 6 * 3 = 9
The total of the removed figues is 36 + 9 = 45
The area of the figure with both figures removed is 225 - 45 = 180 cm^2
HELP ME PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS URGENTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
9514 1404 393
Answer:
90 m²
Step-by-step explanation:
The given linear dimensions have the ratio ...
red/blue = (6 m)/(4 m) = 3/2
The ratio of areas is the square of the ratio of the linear dimensions:
(red area)/(blue area) = (3/2)²
S = (blue area)(9/4) = (40 m²)(9/4)
S = 90 m²
Mrs. Ballesteros students raised $300, Mrs. Garcia's
students raised $210, and Ms. Ramirez students raised
$180. What is the mean, or average, amount of money
raised by the English students?
Answer:
$230
Step-by-step explanation:
To find the average all you have to do is add all the numbers together in a given set then divide the total by the amount of numbers in the set.
how many millitres of curry poweder are needed
Answer:
3 kfjdasidutiriqkvjcksot
Answer:
2 Tbsp
Step-by-step explanation:
Our simple homemade curry powder is an easy way to have instant access to curry powder, using spices that you probably already have in your pantry. (We have found that 2 Tbsp (6 tsp) of curry powder is typically enough to season one recipe of curry for 4 people.)
Hope it helps you. please give me brainliest if it is correct
What is the 70th term in the sequence? 4, 8, 12, 16...
Answer:
276
Step-by-step explanation:
that's the correct answer
Answer:<3
Step-by-step explanation: 280 is right on acellus
12. Li drinks 1 liter of water each day after soccer practice. How many
milliliters of water does she drink after 5 practices?
F. 5,000 milliliters
H. 50 milliliters
G. 500 milliliters
L. 5 liters
Answer:
F. 5000militres
Step-by-step explanation:
1 litre= 1000ml
1 practice= 1000ml
therefore 5 practices= 5*1000ml
= 5000ml
NEEDED ASAP PLEASE. 22-32 will give brqinliest no trolls
In DEF, sin D = 24/26 What is cos E?
A. 24 26
B. 10 24
C. 10 26
D. 26 10
Answer:
your answer will be option A. 24/26
Step-by-step explanation:
hope it helps....
In [tex]\triangle[/tex] DEF, [tex]SinD = \frac{24}{26}[/tex] , then [tex]Cos \ E[/tex] will be equals to [tex]\frac{24}{26}[/tex] .
What are trigonometric ratios ?Trigonometric ratios are defined as the sides and angles of a right-angled triangle are dealt with in Trigonometry.
We have,
[tex]\triangle[/tex] DEF,
[tex]SinD = \frac{24}{26}[/tex]
We know that,
[tex]SinD=\frac{Perpendicular}{Hypotenuse}=\frac{EF}{ED}[/tex] and [tex]CosE=\frac{EF}{ED}[/tex]
Using Pythagoras Theorem,
[tex]P^{2} +B^{2} =H^{2}[/tex]
i.e.
[tex]EF^2+FD^2=EF^2[/tex]
[tex]24^{2} +FD^2=26^2[/tex]
[tex]FD^2=676-576[/tex]
[tex]FD=10[/tex]
But when we look from [tex]\angle E[/tex] for [tex]Cos E[/tex] then,
[tex]CosE=\frac{EF}{ED}[/tex]
so,
[tex]CosE=\frac{24}{26}[/tex]
So, the value of [tex]CosE=\frac{24}{26}[/tex] is derived using the Trigonometric ratios.
Hence, we can say that In [tex]\triangle[/tex] DEF, [tex]SinD = \frac{24}{26}[/tex] , then [tex]Cos \ E[/tex] will be equals to [tex]\frac{24}{26}[/tex] .
To know more about Trigonometric ratios click here
https://brainly.com/question/13724581
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