What is the number of possible permutations of 8 objects taken 4 at a time?
A.
24
B.
70
C.
1,680
D.
40,320
Answer:
1,680
Step-by-step explanation:
n!/(n-r)!
in this case n= 8 and r= 4
so 8!/(8-4)! = 1,680
The possible permutation of 8 objects taken at 4 a time will be 1680.
What is permutation?
The linear arrangement of the set of the orders or the linear arrangements of the numbers is called the permutation.
The number of possible permutations of 8 objects taken 4 at a time will be:-
[tex]^8C_4=\dfrac{8!}{(8-4)!}[/tex]
[tex]^8C_4=\dfrac{8!}{(4)!}[/tex]
[tex]^8C_4=\dfrac{8 \times 7\times 6\times 5\times 4\times 3\times 2}{4\times 3\times 2}=1680[/tex]
Therefore the possible permutation of 8 objects taken at 4 a time will be 1680.
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Can somebody help outtt ?? pleasee
Answer:
y=71
x=109
Step-by-step explanation:
Determine whether the statement is true or false. Explain your reasoning. "Every relation is a function."
What is the slope of the line in the graph?
Solve for x. Round to the nearest TENTH.
Answer:
x ≈ 63.5°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangle Only] SOHCAHTOA[Right Triangle Only] sin∅ = opposite over hypotenuseStep-by-step explanation:
Step 1: Identify Variables
Angle = x°
Opposite Leg = 17
Hypotenuse = 19
Step 2: Solve for x
Substitute [sine]: sinx° = 17/19Trig inverse: x° = sin⁻¹(17/19)Evaluate: x = 63.4746Round: x ≈ 63.5°Answer:
I want to say that X= 62.8 or 63 17/19= 0.89 arcsin= 62.8 rounded 63
Step-by-step explanation:
Graph 1/4x+y=3. Please I need it ASAP
Answer:
how am i supposed to make a graph on that
Step-by-step explanation:
Answer:Here
Step-by-step explanation:
gabriel has 6 2/3 of almond flour to make macaroons. he plans to make a recipe that uses 3/4 of a cup of almond flour. what is the greatest number recipes he can make?
Answer:
8 cups max
Step-by-step explanation:
3/4 cup = 1 recipe
6 2/3(20/3) cup = 20/3 x 1
3/4
= 20 / 3
3 4
= 20 x 4
3 3
= 80/9
= 8 cups max
the 9th cup will not be enough.
What is the equation of the line through (4, -3) and (0, -2)?
A. y = 4x + 2
B. y=-4x - 2
C. y = -12- 2
D .y= 4x + 2
Three pens and three notebooks cost $6.90. Two notebooks and one pen cost $4.10
Answer:
so whats the question then?
Step-by-step explanation:
!!!Please need now!!!,it’s not hard,ask a second time
If 14 gallon of paint covers 13 of a wall in Luna's bedroom, how much paint does she need to cover 1 wall?
Answer:
182
Step-by-step explanation:
1/13=14 gal
14 times 13 = 182 gal.
Unless you wrote it diff, then it would be 14/13 = 1.08 gal (I don't think this one is correct though)
Answer:
182
Step-by-step explanation:
For f(x)= 2x-15 ,find f(x) when x=-4
I just need some help on this question.
The Williams family goes shopping, and spend $95.00. They have a coupon for 20% off and the sales tax is 8%. What is the total cost of the shopping trip?
Answer:
The total cost of the shopping trip is:
$82.08
Step-by-step explanation:
The Williams family goes shopping, and spend $95.00. They have a coupon for 20% off and the sales tax is 8%. What is the total cost of the shopping trip?
Step 1
We find the price after the discount
The Williams family goes shopping, and spend $95.00. They have a coupon for 20% off
Hence:
20% × $95
= $19
Therefore: $95 - $19
= $76
Step 2
We find the amount of sales tax
The sales tax is 8%
Hence:
8% of $76
= $6.08
Our sales tax = $6.08
Step 3
The total cost of the shopping trip is calculated as:
$76 + sales tax
= $76 + $6.08
= $82.08
What is the midpoint, M, of line segment HG with
endpoints H(-10,2) and G(4,-4).
The ratio of enlisted men to officers in a division is 25 to 1.
If there are 1000 enlisted men, how many officers are in the
division?
5e^(x+2)-8=14
Solve for x
Answer: x=−0.518396
Step-by-step explanation:
Answer:
[tex] x=\ln (4.4) - 2 [/tex]
Step-by-step explanation:
[tex] 5e^(x+2)-8=14 [/tex]
[tex] 5e^(x+2)=22 [/tex]
[tex] e^(x+2)=4.4 [/tex]
[tex] \ln [e^(x+2)]=\ln 4.4 [/tex]
[tex] x+2=\ln 4.4 [/tex]
[tex] x=\ln (4.4) - 2 [/tex]
A line is shown in the graph. What is the equation of the line?
Solve for z
−p⋅(51+z)=dz+84
z= (anwser)
Answer:
z=(84-p(51+z))/d
Step-by-step explanation:
PLEASE HELP! I need this fast!
The quadratic equation y = 2(x + 3)^2 - 1 is written in vertex form.
True or false
Answer:
Yes
Step-by-step explanation:
vertex form is y=a(x-h)^2+k
Answer:
True.
Step-by-step explanation:
The quadratic equation [tex]y=2(x+3)^2-1[/tex], is in fact written in vertex form.
Vertex Form = [tex]y=a(x-h)^2+k[/tex]
[tex]a=amplitude[/tex]
[tex]h=horizontal shift[/tex]
[tex]k=vertical shift[/tex]
The bells are adding a new room to their house. The room will be a cube with volume 8,000 ft^3. They are going to put in hardwood floors, and the contractor charges $10 per square foot. How much will the hardwood floors cost?
Answer:
$4000
Step-by-step explanation:
Given that :
Volume of cube = 8000 ft³
Charge per ft² = $10
Recall, volume of a cube = a³
Where a = edge
Hence,
a³ = 8000
Take the cube root of both sides
a = 20
Hence,
Volume = 20 * 20 * 20
The Area of the floor will be :
20 * 20 = 400 ft²
If charge per ft² = $10
400 ft² = ($10 * 400) = $4000
what is mode and what is mean and median#
Answer:
The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set
Step-by-step explanation:
evaluate H (x) equals 1/4 x - 2 when x equals 8
Answer:
0
Step-by-step explanation:
Select the better deal in the pair. Then give the unit rate for the better deal.
$81÷25gal or $62.05÷20gal
A:First
B Second
Then the unite rate with the better deal is $_____/gal
Answer:
its the first one and its 3.24
A gyroscope of radius 18 centimeters rotates 35 times per minute. Find the linear velocity of a point on the edge of the gyroscope.
In one full rotation/revolution, a point on the edge travels a distance equal to the circumference of the gyroscope, or 2π (18 cm) = 36π cm. Convert the angular speed, 36π cm/rev, to linear speed:
(36π cm/rev) • (35 rev/min) = 1260π cm/min ≈ 3958 cm/min
this is harder so i put more points
Answer:
Sheet metal costs $20 per square foot.
Step-by-step explanation:
7.6x - 2.3x = 106
We are finding the value of x.
5.3x = 106
Divide both sides by 5.3.
x = 106 ÷ 5.3
x = 20
Answer and Explanation
__________________________________________________________
Sheet metal costs $20 per square foot( x = 20 )__________________________________________________________
Sheet metal costs 20 dollars per square foot, and we can figure this out by multiplying the 20 by the numbers and subtracting them.
__________________________________________________________
[tex]7.6x-2.3x=106[/tex] but what does x equal? ( 20 )
[tex]7.6\cdot20[/tex] = [tex]152[/tex]
[tex]2.3\cdot20[/tex] = [tex]46[/tex]
__________________________________________________________
[tex]152-46[/tex] = [tex]106[/tex]
Which is the same in the question, so x = 20.
__________________________________________________________
Hope this helps! <3
__________________________________________________________
Mose decides to launch a rocket out of the barn at Schrute farms. The equation below represents the height (in meters), of the rocket getting launched above the ground, t seconds after the rocket is launched. h(t) = -.4 (t - 2)^2 + 5 How high above the ground is the rocket before it is launched?
Height at an instance of time is given by :
h(t) = -4( t - 2 )² + 5 .....1
Differentiating above equation with respect to t .
[tex]\dfrac{dh}{dt}= -4\times ( -2 ) ( t - 2 ) \\\\\dfrac{dh}{dt}= 8(t-2)[/tex]
Now, for maximum , [tex]\dfrac{dh}{dt} = 0[/tex] .
8( t - 2 ) = 0
t = 2
Putting value of t = 2 in given equation, we get :
h( 2 ) = -4( 2 - 2 )² + 5
h( 2 ) = 5 m
Therefore, maximum height rocket can reach is 5 m.
There are 20 children in a class 45% are girls, How many girls and boys are there?
Answer:
Step-by-step explanation:
each person represents 5%. so 45% are girls. 45/5 is 9, so 9 are girls. 20 minus 9 is 11 so 9 girls and 11 boys
The number of girls is 9 and the number of boys is 11.
Important information:
Total number of students = 2045% of total students are girls.Percentage:Using the given information, the number of girls is:
[tex]20\times \frac{45}{100}=9[/tex]
Now, subtract the number of girls from the total number of students.
[tex]20-9=11[/tex]
Therefore, the number of girls is 9 and the number of boys is 11.
Find out more about 'Percentage' here:
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Bananas are curved because they grow towards the sun ☀️
Answer:
14776.8
Step-by-step explanation:
Yeahh its that because its the difference and the elevation for the death valley is below sea level so if you do
x-(-y) you essentially get x+y so therefore you add the two numbers and your good (x stands for that mountain and y is for the death valley
Whats the value of x? 3x - 5(x - 5) = -7 + 2x + 12
Answer:
x = 5
Step-by-step explanation:
Given
3x - 5(x - 5) = - 7 + 2x + 12 ← distribute and simplify left side
3x - 5x + 25 = 2x + 5
- 2x + 25 = 2x + 5 ( subtract 2x from both sides )
- 4x + 25 = 5 ( subtract 25 from both sides )
- 4x = - 20 ( divide both sides by - 4 )
x = 5
Which point represents 4StartRoot 2 EndRoot (cosine (StartFraction 5 pi Over 4 EndFraction) + I sine (StartFraction 5 pi over 4 Endfraction) ) ?
It's Point B
Answer:
point b
Step-by-step explanation:
took the test
Answer: point b
Step-by-step explanation: because the mans who asked the question is a legend