Qu'est-ce que cela a à voir avec quoi que ce soit?
Three friends will run race. If three friends no ties, in how many distinct order can these 3 friends finish the race?
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Explanation:
Let's name the friends A, B, C
If person A is first, then B or C could be second and third.
So we have ABC or ACB as two possible outcomes.
If B is first, then either A is second or C is second. Meaning we have BAC or BCA.
If C is first, then we have CAB or CBA
Overall here are the 6 different ways to have the runners finish
ABC ... A is firstACB ... A is firstBAC ... B is firstBCA ... B is firstCAB ... C is firstCBA ... C is firstNote how for the first slot we have 3 ways to pick the winner. Then after that selection is made, we have 2 choices left, then 1 choice for third place. Therefore, 3*2*1 = 6 different outcomes are possible.
We can use the factorial operation on the calculator to do this with one button press, so we'd say 3! = 6. The exclamation mark means "multiply from 3 down to 1, counting down the whole time".
Another example of a factorial is:
5! = 5*4*3*2*1 = 120
A ball is launched out of a cannon that is 24 feet off the ground. The height of the ball after "t" seconds is represented by
h(t) = -16t² + 20x + 24
How many seconds will it take for the to reach the ground?
Given:
The height of ball is represented by the below function:
[tex]h(t)=-16t^2+20t+24[/tex]
To find:
The number of seconds it will take to reach the ground.
Solution:
We have,
[tex]h(t)=-16t^2+20t+24[/tex]
At ground level, the height of ball is 0, i.e., [tex]h(t)=0[/tex].
[tex]-16t^2+20t+24=0[/tex]
Taking out greatest common factor.
[tex]-4(4t^2-5t-6)=0[/tex]
[tex]4t^2-5t-6=0[/tex]
Splitting the middle term, we get
[tex]4t^2-8t+3t-6=0[/tex]
[tex]4t(t-2)+3(t-2)=0[/tex]
[tex](t-2)(4t+3)=0[/tex]
Using zero product property, we get
[tex](t-2)=0[/tex] and [tex](4t+3)=0[/tex]
[tex]t=2[/tex] and [tex]t=-\dfrac{3}{4}[/tex]
Time cannot be negative, so [tex]t=2[/tex].
Therefore, the ball will reach the ground after 2 seconds.
Need help with 2 and 3 ASAP PLEASE SHOW WORK
Answer: #2; 25.13274, #3; 167.55161
Step-by-step explanation:
Hey saw this man Turns 250 per on per week Plus a 10% commission all sales over 5000 in one week hey cells Toto 14,000 what were his earning that week A.$1,050 B.$1,150 C.$400 D.$2,150
Answer:
B.$1,150
Step-by-step explanation:
Given data
Weekly earning= $250
commission= 10%
Sales= $14000
Hence the expression for his total earnings per week is
y= 0.1x-250
x= sales
y= total earning
y=0.1*14000- 250
y= 1400-250
y= $1150
Math please help I will be happy :)
Answer:
89
Step-by-step explanation:
mark it as the brainliest
Please help with this
Answer:
f
Step-by-step explanation:
Solve the equation plz!
8(3x−2)/9 = 13/7
Step-by-step explanation:
(3x-2) =13/7x9/8
3x =117/56+2
3x = 117+112/56
x =229/56x3
x= 229/168
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE
Answer:
x=229/168
Step-by-step explanation:
[tex]\frac{8(3x-2)}{9} =\frac{13}{7}\\or, 56(3x-2) =117\\Or,168x-112=117\\Or, 168x=229\\Or, x=\frac{229}{168} \\[/tex]
What is the volume of the solld figure that has a helght of 11 feet and the following base?
volume___ft 3
Step-by-step explanation:
Area is 2D, and Volume is 3D
volume is L x W x H
area is L x W which has already been given to you so you just need to use the height given to you
38.28 x 11
The quotient of Alice’s income and 12 is 1,500
Answer:
125
Step-by-step explanation:
x = 1500 / 12
= 125
Help !Which of the following functions are linear?
Function A
Function b
Function a and b
Or none of the above
Answer:
function A
Step-by-step explanation:
_______________
question in photo. i'll give brainliest to whoever gets it right/done quickest. thank you!
Answer:
Daniel's time: 3 minutes 45 seconds
Brandon's time: 3 minutes 27 seconds
Step-by-step explanation:
Well, 5 feet per every second so side A would be 327.6 / 3 = 109.2
then 489 / 5 = 97.8 add them two you get 207 seconds which is 3 minutes and 45 seconds for Daniel.
For Brandon you have to find the hypotenuse of the triangle which in short is 588.6 / 3 = 196.2
This was my first answer on this so though Its problebly not the best I hope I did something to help. ;-;
ASAP
-WILL MARK BRIANIST
Answer:
part A: 83-8=75
part B: b represents chocolate bars so the answer would be 75 chocolate bars. good luck with the test and have a nice day!
Step-by-step explanation:
helpppppppppppppppppppppppp asappppp!!!!!!!!!!1
Answer:
(2) angle EZD = angle AZB (vertically opposite angles)
angle EZD = 90 degree
(3) angle DXC = 180 - 143 (Linear Pair axioms)
= 37 degree
Hope u understand
Please mark as brainliest
Thank You
The measure <EZD = 90°
The measure <DXC = 37°
I hope you understand....
This is a Right answer....
Does anybody know the answer to this question Im having lots of problems
This is the same as writing [tex]3^9[/tex]
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How to get that answer:
The lowest height is 3^8, and the highest point is 3 times that value.
We can think of that second "3" as really 3^1. This is because x^1 = x for any real number.
Multiply 3^8 and 3^1 using the rule that a^b*a^c = a^(b+c). We add the exponents together.
Therefore, 3^8*3^1 = 3^(8+1) = 3^9
Side notes:
3^8 = 6,5613^9 = 19,683Answer:
3^9
Step-by-step explanation:
3 * 3^8
3^1 * 3^8
3^1+8
= 3^9
Part B Liam buys a pair of jeans that cost $29.99 and 5 shirts that each cost the same amount of money. He spends a total of $94.94. • Write an equation or inequality to represent the cost of each shirt that Liam buys. Define all variables used. • What is the cost of each shirt that Liam buys? Show your work.
Given :
Liam buys a pair of jeans that cost $29.99 and 5 shirts that each cost the same amount of money.
He spends a total of $94.94.
Solution :
Let, cost of each shirt is $ x.
It is given that there are 5 shirt and each cost the same.
Also, the sum of 5 shirt and a pair of jeans is equal to $94.94 .
So,
[tex]29.99 + 5x = 94.94\\\\5x = 94.94 - 29.99\\\\x = \$ 12.99[/tex]
Therefore, the cost of each shirt that Liam buys is $12.99 .
Suppose the cost of electricity is $0.03 for each kilowatt-hour. Carlos's house runs on 11.14 kilowatt-hours a day. Find the cost of electricity for Carlos's house in one day.
What equation is equivalent to 2 - 3 (5x+2) = 6?
A) -15x - 4 = 6
B) -15x + 4 = 6
C) -5x - 2 = 6
D) -5x + 2 = 6
Find the area of the bolded sector in the circle below.
Leave your answer in terms of pi. Just type what number should be multiplied to the pi)
area sector = ?? π
Answer:
Area of the sector formula:
A = πr²(θ/360)We have:
θ = 120r = 12 miSubstitute values and find A:
A = π(12²)(120/360) = 144π/3 = 48πFind the exact value of sin 2pi/3
Answer:
2 x 3.14 = 6.28
6.28 divided by 3 = 2.093 around 2.1
Match the word with the definition.
Step-by-step explanation:
practical range = 8
vertical line test = 5
range = 3
domain = 2
relation = 1
function = 4
function Notation =6
practical domain=7
what is the equation representing
Answer:
Exponential growth. Hope it helps.
If WXYZ is a square, which statements must be true? Check all that apply.
Answer:
A might be right
hope this is helpful
The required correct statement for WXYZ to be a square is given as,
A. WX ≅ XY.
C. WXYZ is parallelogram.
D. ∠W is congruent to ∠Y.
E. ∠W is a right angle.
A frame with a square shape i.e. all sides are identical and the measure of the angle between the side is 90°.
Here,
A square is a four-sided regular polygon, and also square is said to be a parallelogram because the opposite of a square is parallel. And each of the four angles of the square is equal to each other and has a measure of 90°.
Thus, the correct statement for the square has been shown above.
Learn more about square here:
https://brainly.com/question/1658516
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What is the value of 3'5/3'3
Answer:
1.05128205Step-by-step explanation:
hope it helps
#carryonlearning
What is the value of B for the following triangular prism?
120 cm 2
60 cm 2
5 cm 2
2.5 cm 2
Step-by-step explanation:
[tex] \frac{1}{2} (10)(12) \\ \frac{1}{2} (120) \\ 60 {cm}^{2} [/tex]
Is the question below a statistical question?
Do teachers make more money than nurses?
Yes or no please answer !!
Answer:
no
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
Please help!!!!!!
if
Answer:
if what
Step-by-step explanation:
if we dare or if we must
Answer:
If what?
Step-by-step explanokation:
So, I don't understand what the question is here. Please elaborate.
At the start of 2014 Mike's car was worth £12000.
The value of the car decreased by 30% every year.
Work out the value of his car at the start of 2017.
The value of the car at the start of 2017 will be £ 4116
I NEED HELP PLSS ITS LIKE 200 POINTS
Answer:
y=-3/2x+3
Step-by-step explanation:
(0,3) and (2,0) tell us that the y intercept is 3 because at x = 0, y = 3.
This leaves the first and last choice only.
We can calculate the slope by 0-3 and 2-0, so -3/2 is the slope
Find the mean of this data set: 11, 13, 13, 11, 13
Answer:
I'm saososowowo3iwiqiwuwuwuwbabahaqbqnwnwnwnwnwnwnwnwnwnwnwnwnwnwnwnwnen
Answer:
I'mnot really sure if it might be correct but I believe it's 12.2 :))
A test was given to 120 students, and the scores approximated a normal distribution If
the mean score was 72 with a standard deviation of 7, approximately what percent of the
scores were 65 or higher?
Answer:
84.13% aka. 101/120 students
Step-by-step explanation:
P(X>65) = normalcdf(65,100,72,7) = 0.8413130544 ≈ 0.8413 ≈ 84.13%
Therefore, about 84.13% of the scores were 65 or higher, meaning that about 101 students got a score of 65 or higher.
84% of students have a score of 65 or higher.
What is Normal Distribution?'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'
According to the given problem,
For this sum, the mean and standard deviation are mentioned.
Mean = 72
S.D = 7
We will be using the bell curve of normal distribution for solving this sum.
Area under the curve that represents more than 65:
= 34% + 34% + 13.50% + 2.35% + 0.15%
= 84%
Hence, we can conclude that 84% of the scores were 65 or higher.
Learn more about normal distribution: https://brainly.com/question/13759327
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