how many ways can 12 passengers be seated in a small airplane with 15 seats
Answer:
455
Step-by-step explanation:
This is a combinatorics problem.
It is asking us the number of ways a sample of r elements can be obtained from a larger set of n objects where order does not matter and repetitions are not allowed
It is called n choose k and the formula is
[tex]C(n,r) = \binom{n}{r} = \frac{n!}{( r! (n - r)! )}[/tex]
Here the ! symbol represents the factorial of that number
For example,
[tex]n! = n\cdot(n-1)\cdot(n-2)......\cdot3\cdot2\cdot 1[/tex]
Here n = 15 and r = 12
How many ways can we arrange 12 people in 15 slots
[tex]C(n,r) = C(15,12)[/tex]
[tex]= \frac{15!}{( 12! (15 - 12)! )}[/tex]
[tex]= \frac{15!}{12! \times 3! }[/tex]
[tex]= 455[/tex]
You can use a calculator to do this but noting that
15! = 15 x 14 x 13 x 12! and 3! = 3 x 2 = 6 we get
[tex]= \frac{15!}{12! \times 3! } = \frac{15\cdot14\cdot13}{6} = 455[/tex]
i hope someone can help me here, please don't answer nonsense!
Answer:
(h -f)(x) = x² -x +2(f +h)(x) = x² +x -2(g -f)(x) = x +5(g +h)(x) = x² +2x +3Step-by-step explanation:
Give three functions f(x), g(x), and h(x), you want various combinations of them.
Operations on functionsIf ✧ represents some generic math operator, we often use the notation ...
(f ✧ g)(x)
as a shorthand way to write ...
f(x) ✧ g(x)
The usual meaning of the operator applies.
The three given functions are ...
f(x) = x -2g(x) = 2x +3h(x) = x²(h -f)(x)The definitions are substituted for the function name:
(h -f)(x) = h(x) -f(x) = x² -(x -2)
(h -f)(x) = x² -x +2
(f +h)(x)(f +h)(x) = f(x) +h(x) = (x -2) +x²
(f +h)(x) = x² +x -2
(g -f)(x)(g -f)(x) = g(x) -f(x) = (2x +3) -(x -2) = 2x +3 -x +2
(g -f)(x) = x +5
(g +h)(x)(g +h)(x) = g(x) +h(x) = (2x +3) +x²
(g +h)(x) = x² +2x +3
Choose an expression equal to: 12x + 9
Answer:3
3(4x+3)
Step-by-step explanation:
A health insurance plan has a $50 enrollment fee and a copayment of $5 for each doctor visit. The function f(x)=5x+50 gives the cost of x doctor visits. What is the cost for visiting the doctor 3 times?
So I just need help.
Answer:
a = 100 + 45t
Step-by-step explanation:
$100 is a one time addition so it will be a constant
100
$15 is added three times a month, so $45 a month
t stands for months as shown in the question
100 + 15(3)t
100 + 45t
A high school soccer team is going to Columbus to see a professional soccer game. A coordinate grid is superimposed on a highway map of Ohio. The high school is at point (2, 4) and the stadium in Columbus is at point (7, 6). One unit on the map is 3 miles. The approximate distance between the high school and the stadium to the nearest mile is Answer miles.
Answer:
16 miles
Step-by-step explanation:
Given that :
1 unit = 3 miles
High School = (2, 4)
Stadium = (7, 6)
Approximate distance between high school and stadium :
Distance between High school and Stadium
x1 = 2 ; y1= 4 ; x2 = 7 ; y2 = 6
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Distance = sqrt((7 - 2)^2 + (6 - 4)^2)
Distance = sqrt((5^2 + 2^2))
Distance = sqrt(25 + 4)
Distance =5.3851648 units
1 unit = 3 miles
Approximate Distance in miles :
3 * 5.3851648 = 16.155494
Approximate distance = 16 miles
A square garden is 345 square feet. One side of the garden is next to a shed. She wants to put a fence around the other sides of the garden. Find three sets of approximations for the amount of fence it will take. Then determine how much fence she should buy.
Approximate 56 feet length should buy
As per question
Garden length is = 345 square feet
Let x^2=345
X=✓345
X=18.57feet
As per the given condition
We have to found
Approximate 3 sets of amount of fence
So,
The total length is -3x
As per the question 3x= 3×18.57
X= 55.71
Which is approximate 56.
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Please Help! I'll give Brainliest!
Eshaal is creating a model of a pyramid. The model created will need to be scaled up from the blueprint.
If segments DE and AB are parallel, which of the following expressions will help Eshaal determine the length of segment BC?
BC = CE
BC equals AC times CE all over CD
BC equals AC times DE all over CE
BC = AC
Answer:
See attachment
PS:
Can I have Brainliest?
The correct statement is BC equals to AC times CE all over CD.
We have, If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally. this is known as the triangle proportionality theorem.
Given, DE and AB are parallel
So, [tex]\frac{BC}{CE} =\frac{AC}{CD}[/tex]
[tex]BC = \frac{AC\times CE}{CD}[/tex]
Therefore in statement form we say that BC equals to AC times CE all over CD.
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The graph represents the cups (y) of sugar and jars of jam (x). Which statements are correct?? A) 3 cups of sugar are in 6 jars of jam B) Point (0,0) represent the unit rate. C) Point (0, 0.5) represent the unit rate. D) Point (1, 0.5) represent the unit rate. E) Point (0,0) represent zero jars of jam and zero cups of sugar.
Answer:
A,D,E
Step-by-step explanation:
Please trust me!
PLEASE DRINK WATER AND TAKE A BREAK!!!
DONT OVER WORK YOURSELF! LOVE YOU PLEASE TAKE CARE!
<3
Answer:
A, D, E
Step-by-step explanation:
How was triangle A translated?
O four units left
O four units right
O six units left
O six units right
Answer:
six units rights
Step-by-step explanation:
I don't have one but I know because I've had kt
10% further than 6.16
10% more than 6.16 is 6.776.
------------------------------------------------
Hope this helps!
Have a great day and God bless! :)
use the method of undetermined coefficients to set up the 5 × 5 vandermonde system that would determine a fourth-order accurate finite difference approximation to u 00(x) based on 5 equally spaced points,
The fourth-order accurate finite difference approximation is:
u00(x) = c−2u(x − 2h) + c−1u(x − h) + c0u(x) + c1u(x + h) + c2u(x + 2h) + O(h4).
Compute the coefficients using the matlab code fdstencil.m and check that they satisfy the system you determined in part (a).
Test this finite difference formula to approximate u
00(1) for u(x) = sin(2x) with values of h from the array hvals = log space(-1, -4, 13). Make a table of the error vs. h for several values of h and compare against the predicted error from the leading term of the expression printed by fdstencils.
You should observe the predicted accuracy for larger values of h. For smaller values, numerical cancellation in computing the linear combination of u values impacts the accuracy observed.
To know more about " undetermined coefficients"
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The perimeter of the triangle shown on the right is 369 feet.
Find the length of each side.
2x
8x-5
Answer:
^two dimentional figure with algebra^
the perimwter from triangle is:
s1 + s2 + s3
ok, enter:
s1 + s2 + s3= 369
x + (8x -5) + 2x = 369
x + 8x - 5 + 2x = 369
group according to the same variable
(x + 8x + 2x) + (-5)=369
11x + (-5)=369
11x - 5= 369
11x = 369 + 5
11x =374
x =374 : 11
x = 34
ok, subtituted:
s1= x
=34 feet
s2= 8x - 5
=8(34) - 5
=272 - 5
=267 feet
s3= 2x
=2(34)
=68 feet
FINALLY FOUND, MODERAT0R!!!!The equation of line s is y=-3/10x-10. Perpendicular to line s is line t, which passes through the point (2,9) What is the equation of line t?
Answer:
y=10/3+48/5
Step-by-step explanation:
Help again pls due tonight will give brainlisttt!!! ❤
Write in slope-intercept form the equation of the line that is parallel to the line y=2/3x-6 and passes through the point (3,3)
Answer: y=2/3x+1
Step-by-step explanation:
y=2/3x-6
y=2/3x+b ==> Parallel to y=2/3x-6 since they both have the same slope
3=2/3 (3)+b
3=2*3/3 +b
3=6/3 +b
3=2+b
b=1
y=2/3x+1
Please help me asap with this math problem!
If it's wrong I'ma report it!
Answer:
A) The correct inequality is: -18 < 53
B) The correct description is: Eduardo sent fewer text messages during May than April
Step-by-step explanation:
Month Number of message
April 53
May -18
A) The correct inequality is: -18 < 53
Reason:
We need to choose the correct inequality, negative number is less than positive number so the inequality will be -18 < 53
B) The correct description is: Eduardo sent fewer text messages during May than April
Reason:
Negative values shows that he has messaged under the allotted limit, while positive values shows the number of messages he was over the limit.
if the sales tax rate is 7.5% what is the tax on a $12.4 purchase
write an equation that represents the weights on the hanger
1. Find f(-4) if f(x) = -11x + 7
Answer:
x= 3/11
Step-by-step explanation:
Since you replace f(x) with 4,
4=-11x+7
-3=-11x
-3/-11=x
Answer:
51
Step-by-step explanation:
f(-4); f(x) = -11x + 7
f(x-4) = -11(-4) + 7
f(x-4) = 44 + 7
f(x-4) = 51
I basically just plugged -4 in for the value of the x's, and solved the equation.
M is the midpoint of XY. XM=10w+2 and MY=5w+22
WHAT IS XY??
Answer:
15w+24
Step-by-step explanation:
Answer:
84 units
Step-by-step explanation:
Since, M is the midpoint of XY.
[tex] \therefore \: XM= MY \\ \\ 10w + 2 = 5w + 22 \\ \\ 10w - 5w = 22 - 2 \\ \\ 5w = 20 \\ \\ w = \frac{20}{5} \\ \\ w = 4 \\ \\ \because \: XY = 2XM \\ \\ \therefore \: XY = 2(10w + 2) \\ \\ \therefore \: XY = 2(10 \times 4+ 2) \\ \\ \therefore \: XY = 2(40+ 2) \\ \\ \therefore \: XY = 2 \times 42 \\ \\ \therefore \: XY =84 \: units[/tex]
MATH HELP PLS BRAINLIEST
Answer:
the first one
Step-by-step explanation:
i think that's the correct answer
Can someone help me please
Which equation represents a line which is perpendicular to x=0x=0?
Answer:
what do you mean oh woo oh when you nod your head yes but you want to say no what do you mean
Step-by-step explanation:
Answer:
the answer is x = 1
Step-by-step explanation:
delta math assignassignment
The length of a rectangle is 5 times its width if the perimeter of the rectangle is 108 yd find its length and width
The length of the rectangle is 45 yd,
and the width of the rectangle is 9 yd.
Given that, The length of a rectangle is 5 times its width, and
the perimeter is 108 yd.
Let the width of rectangle be 'x' yd ,
therefore the length of the rectangle is '5x' yd as mentioned that the length is five times the width.
we know that,
Perimeter of the rectangle = 2(length + width)
and given perimeter of rectangle is 108 yd.
Therefore the perimeter = 2( 5x + x )
108 = 2( 6x )
108 = 12x
108/12 = x
x = 9
we know that 'x' is nothing but the width of the given rectangle.
Therefore the width of given rectangle is 9 yd, and
The length of the given rectangle is 5x = 5 * 9 = 45 yd.
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Between 1998 and 2018, inflation for prices of goods and services has been about 51%. Suppose a salon charged $18 for a basic haircut in 1998 and has been raising prices by a steady percentage each year to keep up with inflation.
What is the price of a haircut at the salon in 2008? Explain or show your reasoning.
In 2003, the salon charged $19.95 for a basic haircut. Find the cost of the basic haircut in 2013. Explain your reasoning.
9514 1404 393
Answer:
$22.12$24.51Step-by-step explanation:
For some growth factor f each year, the growth factor over 20 years is given as ...
f^20 = 1 +0.51 = 1.51
Then the growth factor in 10 years is ...
f^10 = (f^20)^(1/2) = √1.51 ≈ 1.22882
__
a) In the 10 years between 1998 and 2008, the price of a basic haircut would rise to ...
$18 × 1.22882 ≈ $22.12 . . . price in 2008
__
b) In the 10 years between 2003 and 2013, the price of a basic haircut would rise to ...
$19.95 × 1.22882 ≈ $24.51 . . . price in 2013
How do i solve this?
9514 1404 393
Answer:
see the attachment
Step-by-step explanation:
The cost when no sugar is transported is 3250, so that is the "y-intercept". (There is no "y". The vertical axis is labeled "c", so that is the c-intercept.)
The cost per ton is 125, so that is the slope or "rate of change". Each increase of 1 unit in the value of "s" will result in an increase of 125 in the value of "c". The grid lines for "c" are 500 apart, so 1 vertical grid space will correspond to 500/125 = 4 horizontal grid spaces.
The graph starts at the left side halfway between 3000 and 3500. It goes up 1 grid square for each 4 grid squares to the right.
Help the girl out if you know it ASAP and explain!!
What is the domain of the function f(x)=-2x + 9 when the range is {-7, 1,9}?
Domain f(x) = 23, 7, -9 for range of { -7, 1, 9}
The domain is f(x) = -2x + 9, and the range of the function is {-7, 1, 9}
To find the domain of the function we have to put the value of x as -7, 1, and 9.
Put x = -7 we have
f(x) = -2x + 9
= -2(-7) + 9
= 14+9
= 23
Now x = 1
f(x) = -2(1) + 9
= -2+9
= 7
Now x = 9
f(x) = -2(9) + 9
= -18 + 9
= -9
Therefore we get the domain of function as 23, 7, -9 for the range {-7, 1, 9}.
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Answe please, which choice
Answer:
Both Reflectional and Rotational
Step-by-step explanation: