Find the number of ways of arranging N people in a straight line, if two particular people must always be separated.
Answer:
It’s the number of ways N people can be arranged in a straight line without restriction minus the number of arrangements in which the 2 people are together.
The number of ways N people can be arranged in a straight line without restriction = N!
The number of arrangements in which the 2 people are together = the number of possible positions for the left-hand person multiplied by the number of people who can be that person, multiplied by the number of possible arrangements for the other N - 2 people
= (N - 1) * 2 * (N - 2)!
= 2 (N - 1)!
So the number of ways N people can be arranged in a straight line if 2 particular people must be separated = N! - 2(N - 1)!
The complete factorization of 12x² + 4x - 8 is:
(A) (3x + 1)(4x – 8)
(B) (4x + 4)(3x + 2)
(C) 4(3x² + x - 2)
(D) 4(3x − 2)(x + 1)
(E) 4(3x + 2)(x - 1)
Answer:
D is the correct answer.
Find the volume of the triangular prism as pictured below with a = 10 cm,
b = 9 cm, and h = 8 cm. Do not include units in your answer.
a
Answer here
SUBMIT
Help!
Answer:360
Step-by-step explanation:
Greg gives pepper a 12 second head start in a 2km race. If Greg runs at 5km/minute and pepper runs at 3km/minute. Who will win the race and buy how many second
I’d like a formula that i can use to these questions thanks :)
Answer:
greg, 4 seconds
Step-by-step explanation:
find how long it takes each person to run 2km first.
distance/speed:
pepper: 2/3 *60(seconds)=40 secondsGreg: 2/5 *60= 24 seconds40-12=28 seconds, pepper will take 28 seconds to finish the race from the time greg starts. greg will win by 4 seconds
x square add 7x subtract 30 factorize
Solve the equation cos7θ = sin5θ where 0<θ<90°
Answer:
You can get approximate values by drawing a graph,
Step-by-step explanation:
by Find the value of 5% of 300
Answer:
15
Step-by-step explanation:
5/100*300
100 can be cut for 100 and 300
so 5/1*3
ans 15
Answer:
Percentage Calculator: What is 5 percent of 300? = 15.
Hope it helps you.(PLEASE SOLVE ASAP EXPLAIN ALSO)
Answer:
3.81
Step-by-step explanation:
- + -
- + -
- + -
If you were to go all ways on this chart↑ the rules would always be the same.
A negative plus a negative is a negative.
A negative plus a positive is a negative.
A positive plus a postitive is a positive.
( x+y+z )² + 2( x+y+z ) +1
Answer:
[tex](x+y+z+1 {)}^{2} [/tex]
Step-by-step explanation:
[tex](x+y+z {)}^{2} +2(x+y+z)+1[/tex]
[tex](x+y+z+1 {)}^{2} [/tex]
Hope it is helpful....Here is your answer hope this helps you.
Which one describes the algebraic expression for the phrase, "four times the quantity of a number increased by 8 is
equal to 10 more than the number"?
O 4n + 8 = n - 10
O 4(n + 8) = n + 10
O 8n + 4 = 10n
O 8(n + 10) = n + 10
Answer:
4(n + 8) = n + 10[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
7 (x + 2) = ?x + ?
someone please help me
Mike sold H hats. Nate sold three times as many hats as Mike. Write an expression for the number of hats Nate sold.
answer:
h3
Step-by-step explanation:
H raise to power 3
A truck can be rented from Company A for $120 a day plus $0.20 per mile. Company B charges $60 a day plus $0.40 per mile to rent the same truck. Find the number of miles in a day at which the rentals cost for company A and company B are the same.
please help..
Answer:
12 miles in a day.
Step-by-step explanation:
Variable x = number of miles
Company A: 120 + 0.20x
Company B: 60 + 0.40x
Set up an equation:
120 + 0.20x = 60 + 0.40x
60 + 0.20x = 0.40x
60 = 0.20x
12 = x
Here a graph I made, any numbers that have LCF or a GCF of 140 let me know
please help me I need it for my homework
The common factor of 24aᴧ3bᴧ4, 36aᴧ4cᴧ4 and 48aᴧ3bᴧ2c is: pls don't spam sisters and brothers
(≧▽≦)( ◜‿◝ )♡
Answer:
The common factor is 12a³
Step-by-step explanation:
[tex] {24a}^{3} {b}^{4} , \: 36 {a}^{4} {c}^{4} , \: 48 {a}^{3} {b}^{2} c[/tex]
each term got a factor:
[tex] = 12 {a}^{3} [/tex]
At a small private college 9 / 20 of the students are female if there are 2160 female students how many male students
Answer:
4800
Step-by-step explanation:
x is the number of total students
x * 9/20 = number of female students
x * 9/20 = 2160
Multiply each side by 20/9
x * 9/20 * 20/9 = 2160 * 20/9
x =4800
100 POINTS + BRAINLIST IF RIGHT. GEOMETRY
In problems 13-15 is the bisector of AC
Please help 13-15 I’m struggling so hard :(
Hello! I'm happy to help!
Question 13: First, we will need to find the value of x. We know that AB and BC are equal.
So, we can subtract x from both sides.
2x-8
-x
x-8
So, we get AB as x-8
x+17
-x
17
and BC as 17. We know that these are equal, so we need to find which x value will make them that way. In this case, x=25 because 25-8=17. We can now add back the x we removed earlier.
17+25=42
Therefore, both AB and BC have a value of 42. and AC will be the combined total.
42+42=84
So, for question 13, x=25, AB=42, BC=42, and AC=84.
Question 14: This question is similar, but we have an expression for AB and AC, instead of AB and BC. We still know that AB=BC, so we can also say that BC=x+6 also. To find x, we need to find a second expression that is equal to AC. We can ad AB and BC together to get that. (x+6)+(x+6)=2x+12. This expression is equal to the AC expression, so we can compare them to find x.
2x+12=3x-31
We need to single out the x on one side, by changing things in the same way on both sides.
2x+12=3x-31
-2x -2x
12=x-31
+31 +31
43=x
Now that we know our x value, we need to plug it in!
43+6=49
We now know that both AB and BC have a value of 49. Let's plug in the value for AC.
(43·3)-31
129-31
98
After plugging in the values, we know that AC is equal to 98. You could have also added AB and BC together, giving you 98 also.
To Summarize Question 14: x=43, AB=49, BC=49, AC=98.
Question 15: This one is very similar to the last, with a little more complexity to the expressions. First, let's simplify the expressions on AB and AC.
AB=3(3x-1) AB=9x-3
AC=5(2x+2) AC=10x+10
Now that we have the simplified expressions, let's solve. We need to find an equivalent expression for AC. We know that AB and BC are equivalent, and also add up to AC. We can copy the expression from AB to BC, and then add them
(9x-3)+(9x-3)=18x-6=AC
We now compare the two expressions in an equation to find x.
10x+10=18x-6
Again, we have to single out x on one side.
10x-10=18x-6
-10x -10x
10=8x-6
+6 +6
16=8x
This time, we need to divide both sides to single out x.
[tex]\frac{16}{8}[/tex]=[tex]\frac{8x}{8}[/tex]
2=x
Now that we have x, we need to plug it in to finish solving.
(9·2)-3
18-3
15
AB=15 BC=15
From here, you can do one of two things, add AB and BC together (easy), or plug in x for AC.
15+15=30 (10·2)+10
AC=30 20+10=30
AC=30
To Summarize Question 15: x=2, AB=15, BC=15, AC=30.
I'm always happy to help, keep learning! :D
c) A bus completes its journey in 14 hours with an average speed of 40 km per hour. How long does the bus take to complete the journey if its average speed is increased to 56 km per hour?
Explanation:
Compute the distance for the original speed and time
distance = rate*time
distance = (40 kph)*(14 hrs)
distance = 560 km
If we increase the rate or speed to 56 kph, then,
distance = rate*time
560 km = (56 kph)*x
560 = 56x
56x = 560
x = 560/56
x = 10
The bus will travel for 10 hours if its speed is increased to 56 km per hour.
Answer:
A bus takes 4.5 hours to complete a complete a journey at a speed of 40km/hr
So, in this case, We will find the distance first because the distance is constant.
distance-speed*time
distance=40*4.5
distance=180km
distance=180km
Now, we find the time to cover the distance at the speed of 45km/hr
time distance/speed
time=180/45
time=4hrs
Therefore, the answer is 4hrs
Hope it helps you.Have a nice day!!A __________ is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.
Answer:
A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.
Step-by-step explanation:
hope that it helped you
Kareem runs 8 miles in 84 minutes. At the same rate, how many minutes would he take to run 6 miles?
He would take 63minutes to run 6 miles
Answer:
TIME TAKEN =63minutes or 1 h 3 min.
Identify as a monomial, binomial, or trinomial. x^3Y^2Z
Answer: Monomial
Step-by-step explanation:
2ax/3y is a monomial in three variables a, x and y.
PJ, A term is defined as a number, variable, or some combination of numbers and/or variables being multiplied together. Even though 2x has two parts (2 and x), since they are being multiplied together, 2x is considered a single term (a monomial expression).Mar 18, 2014
Answer:
monomial
Step-by-step explanation:
because it has only 1 term
what is 6x - 4x please help
Answer:
2x
Step-by-step explanation:
6x-4x
= x(6-4)
= 2x
See your levels
A rectangular vegetable patch is 7 meters long and 5 meters wide. What is its area?
7*5=35 its simple though
Autumn bought a square frame for her desk that has an area of 361 square units.
What is the perimeter of the frame?
Can someone tell me the asnwer to this ASAP?
Answer:
[tex]2\sqrt{2} \\2[/tex]
Step-by-step explanation:
[tex]\sqrt{8} = \sqrt{4*2} = \sqrt{4} * \sqrt{2} = 2*\sqrt{2} = 2\sqrt{2} \\\\\sqrt[3]{8} = \sqrt{2*2*2} = 2[/tex]
Answer:
I noticed that [tex]\sqrt{8\\}[/tex] does not have 3 on it like the second one. And i wonder that the answers would be different from each other
[tex]2\sqrt{2}[/tex]
2
17+5 plz show communitive property
Answer:
17+5=17+5
No matter what order you put them it will always be the same
Answer:
17+5=5+17
Step-by-step explanation:
17+5=22
5+17=22
A) give a verbal description of the subset of real numbers represented by the inequality or the interval, B) sketch the subset on the rest of real number line, and C) state whether the interval is bounded or unbounded
An inequality is an expression which makes comparison between unequal expressions i.e. both sides of the inequality sign are not equal.
The verbal description of [tex]x > 5[/tex] is the set of all real numbers greater than 5 The interval is bounded (right bounded to be precise)The inequality is given as:
[tex]x > 5[/tex]
[tex]x > 5[/tex] means x greater than 5
So, the verbal description is as follows:
The set of all real numbers greater than 5
To sketch [tex]x > 5[/tex] on a number line, we consider the following:
> means greater than; so, the arrow on the number line must point to the right[tex]> 5[/tex] implies that the arrow must start on 5> also implies that the circle on 5 must be an open circleSee attachment for the sketch
To determine if the interval is bounded or not, we do the following.
[tex]x > 5[/tex] means that the x starts at a value greater than 5, and the value of x has no end.
This is represented as: [tex](5,\infty)[/tex]
Notice that 5 is at the right, while [tex]\infty[/tex] is at the left.
This means that the interval is bounded (right bounded to be precise)
Read more about inequalities at:
https://brainly.com/question/17194874
The chorus sang for 27 minutes. If each song lasted an average of 4 1/2 minutes, how many songs did the chorus sing?
Answer:
6 songs
Step-by-step explanation:
27 divided by 4 1/2 or 4.5 equals 6 which mean they sang six songs.
Answer:
6, because 4.5 fits into 27 6 times.
What is the answer to the green box?
The bacteria increases 90% the formula adds the percentage, as a decimal to the 1.
The answer would be 0.90