Answers
a) The arrangement of 9 paintings can be done 9 ways.
b) The arrangement of the 4 out of 9 paintings will be done as 21 ways.
What is the combination?
The arrangement of the different things or numbers in a number of ways is called the combination.
a) Here if she has 9 paintings so the number of the arrangements will be
[tex]^{9} C _2 =\dfrac{9!}{(9-1)!(1!)}\\\\\\^{9} C _2=\dfrac{9!}{8!}\\\\\\^{9} C _2= 9 \ ways[/tex]
b) The arrangement of the 4 out of 9 paintings will be
[tex]^{9}C_{4}=\dfrac{9!}{(9-4)!(4!)}\\\\\\\^{9}C_{4}=21 \ ways[/tex]
Therefore the arrangement of 9 paintings can be done 9 ways and the arrangement of the 4 out of 9 paintings will be done as 21 ways.
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Related Questions
From her eye, which stands 1.69 meters above the ground, Sadie measures the angle
of elevation to the top of a prominent skyscraper to be 36º. If she is standing at a
horizontal distance of 275 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest hundredth of a meter if
necessary.
Answers
The height of the skyscraper is 201.5 meters, if the angle of elevation to the top of a prominent skyscraper to be 36º
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
Angle of elevation = 36 degree
Horizontal distance of 275 meters from the base of the skyscraper
From the tan ratio:
tan36 = x/275
x = 275(tan36)
x = 199.79 meters
The height of the skyscraper = 199.79+ 1.69 = 201.48 ≈ 201.5 meters
Thus, the height of the skyscraper is 201.5 meters if the angle of elevation to the top of a prominent skyscraper to be 36º
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Answer:I just got it wrong the answer is 201.49
Step-by-step explanation:
Consider parallelogram ABCD below.
Use the information given in the figure to find m of angle B, x, and m of angle BCA.
Answers
Answer:
Step-by-step explanation:
1) Opposite angles in a parallelogram are congruent, so angle B measures 82 degrees.
2) Opposite sides of a parallelogram are congruent, so 12=6x. Hence, x=2.
3) Opposite sides of a parallelogram are congruent, so by the alternate interior angles theorem, the answer is 62 degrees.
Answer:
see explanation
Step-by-step explanation:
the opposite angles of a parallelogram are congruent , then
∠ B = ∠ D = 82°
the opposite sides of a parallelogram are parallel and congruent , then
AD = BC , that is
6x = 12 ( divide both sides by 6 )
x = 2
∠ BCA and ∠ DAC are alternate angles and are congruent , then
∠ BCA = ∠ DAC = 62°
f(x)=3x+2 and g(x)=x-3. Find f(x)-g(x)
a. 4x-1
b. 2x-1
c. 2x+5
d. 2x-5
Answers
Answer:
First step is to plug in the given values :[tex] \longrightarrow \tt3x + 2 - ( x - 3)[/tex]
Remove the bracket and change the signs of those terms which are inside bracket since there is a negative sign.[tex] \longrightarrow \tt \: 3x + 2 - x + 3[/tex]
Collect like terms[tex] \longrightarrow \tt 3x - x + 2 + 3[/tex]
[tex] \longrightarrow \boxed{ \tt 2x + 5 }[/tex]
------------------- HappY LearninG <3 -------
can someone help me please
Answers
Answer:
A
Step-by-step explanation:
If you line up all the numbers/variables you just have to copy down all of them except for 7x and 12x, you just add those and you get 19x so the answer is A.
What is the equation of a line passing through points (1, 2) and (3, 8)?
A.
y = x + 5
B.
y = 1
3 x – 1
C.
y = 3x – 1
D.
y = 1
5 x – 1
E.
y = x + 1
Answers
The equation of the line passing through these two points (1, 2) and (3, 8) will be y = 3x – 1. Then the correct option is C.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The points are (1, 2) and (3, 8).
Then the equation of the line passing through these two points (1, 2) and (3, 8) will be
[tex]\rm (y - 2) = \dfrac{ 8- 2}{3-1} (x - 1)[/tex]
On simplifying the equation, we have
y - 2 = 3(x – 1)
y - 2 = 3x – 3
y = 3x – 1
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Can someone please help me?
Answers
The center of the circle will be equal to (-3,4) equation of the circle x²+y²+6x-8y+16=4
What is circle?The circle is defined as the locus of the point traces around a fixed point called as the center and is equidistant from the out trace.
The general form of the equation of the circle is:-
(x-x₁)²+(y-y₁)²=r²
here x1 and y1 are the center of the circle
Now we will convert our equation in the general form:-
x²+y²+6x-8y+16=4
x²+6xy²-8y+16-4=0
x²+3x+3x+9-9+y²-4y-4y+16-16-4=0
(x+3)²+(y-4)²-9-16+16-4=0 (x+3)²+(y-4)²=13
By comparing with the general form we can see that the coordinate of the center of the circle will be {-3,4)
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venessa is solving a video game puzzle to open a secret door she must collect between 400 grams (g) and 500 grams (g) of gems she can only collect one type of gem
type of gem mass
Ruby 128.3
Emerald 195.2
Diamond 147.6
Which of the gems should Vanessa try to collect?
A. rubies
B. emeralds
C. diamonds
D. none of the gems will work for opening the secret door
Answers
explanation
Need help please answer ASAP!
(22-23)
Answers
Answer:
Question 22 is
[tex]x - 3[/tex]
Question 23 is
[tex]1.67 \times {10}^{ - 21} g[/tex]
Select the graph that matches the equation y = 8
5
10
x + 9.
Answers
Answer:
option C
Step-by-step explanation:
y = mx + b → y = 8.5x + 9
b is the y intercept: 9
m is the slope: 8.5
to identify this on the graph, the y intercept is when x = 0
crossing the vertical bold (y) line
so which one is at 9? c is the only one at 9
Select the correct answer from each drop-down menu.
Three students used factoring to solve a quadratic equation.
x² + 17x + 72 = 12
Jordan's Solution Keith's Solution Randall's Solution
x² + 17x + 72 = 12 x² + 17x + 72 =12 x² +17x +72 = 12
(x + 8)(x + 9)= 12 x² + 17x +60 =0 x2 +17x = -60
x+8=12 & x+9=12 (x +5)(x +12) +0 x(x +17) = -60
x + 5 =0 & x + 12 = 0 x = -60 & x +17 = -60
The equation was solved correctly by ____. The solutions of the equation are ____
Answers
Answer:
Step-by-step explanation:
x = -5 and x = -12 are the solutions.
Looks like Keith's solution is the correct one as he got as far as
x + 5 = 0 and x + 12 = 0.
It is known that a certain function is an inverse proportion. find the formula for this
function if it is known that the function is equal to 12 when the independent variable
is equal to 2.
er:
if the independent variable is x, dependent variable is y, then y =
Answers
Answer:
y=24/x
Step-by-step explanation:
An inverse proportion with a positive input and output always has a "fraction format"
12=24/2
12=12
y=24/1
y=24
The y-value for x=1 was higher than the y-value for x=2, that proves that it's inverse.
A 90% confidence interval is centered at a _____ and is 90% sure to contain the _______.
a) statistic, variable
b) parameter, statistic
c) statistic, parameter
d) parameter, variable
e) variable, parameter
Answers
Answer:
See below
Step-by-step explanation:
A 90% confidence interval is centered at a parameter and is 90% sure to contain the statistic.
When you are running a statistical test, you can create a confidence interval centered at the appropriate parameter (such as the mean) to see if the statistic stated in your null hypothesis is true if it's contained in the interval. Whatever the confidence level is determines how wide the interval will be, and as such, will determine how likely the interval will catch the statistic in question.
Quadrilateral FGHI is similar to quadrilateral JKLM. Find the measure of side JK
Round your answer to the nearest tenth if necessary.
Answers
Answer:
Heyyyy!!
The answer is 66.9
please read the explanation... it will help... I promise
Step-by-step explanation:
Okay... Here we go...
The context mentions that the two quadrilaterals are similar... meaning their sides are proportional...
So... you basically have to find the scale factor...
(the math itself is easier than the explanation...
51/16 = 3.1875 (that is the number we multiplied the sides of quadrilateral FGHI to get quadrilateral JKLM...
so to get side JK all you have to do is multiply that scale factor by side FG... which after the use of a calculator results in 66.9 (i rounded, and used a calculator... lol)
but yeah... i hope this helps...
NEED HELP ASAAAAP(WIll GIVE BRAINLIEST)
What is the formula of g in terms of f?
A.f(x+2)
B.f(x)-2
C.f(x)+2
D.f(x-2)
Answers
Answer:
D
Step-by-step explanation:
g(x) is f(x) shifted to the right by 2 units. Therefore, g(x) can be expressed as f(x-2).
Hope this helps!!!
Please mark me as brainliest!!!
P.S. I need one more brainliest to get Virturoso
(4x+3)(6x-3) = 0
What is the positive solution to the problem?
Answers
Answer:
The positive solution is 1/2
Step-by-step explanation:
(4x+3)(6x-3) = 0
We can use the zero product property to find the zeros
4x+3 =0 6x-3 =0
4x =-3 6x = 3
x = -3/4 x = 3/6
x = -3/4 x = 1/2
The positive solution is 1/2
Need help please answer ASAP!
Answers
Answer:
See below ~
Step-by-step explanation:
Question 18
Diameter = Difference in y-coordinatesDiameter = 12 - 2 = 10We know : Radius = Diameter/2Radius = 10/2Radius = 5 cm(1) 5 cmQuestion 19
3x² - 34x - 24 = 0(3x + 2)(x - 12) = 0Solution set = {-2/3, 12}(3) {-2/3, 12}#1
Length of diameter
√(2-2)²+(2-12)²√(-10)²10unitsLength of radius=10/2=5
#2
3x²-34x-24=0(x-12)(3x+2)=0x=12 or -2/3Solution set
{-2/3,12}the value of the power is
Answers
Answer:
Is 4
4
Step-by-step explanation:
Answer:
See below ~
Step-by-step explanation:
Power in repeated multiplication form is : 4 x 4 x 4 x 4
Value of the power : 16 x 16 = 256
What is the sum of the angles in the diagram?
Answers
Write an expression for "the quotient of 999 and c."
Answers
Answer:
"quotient" indicates division
999 ÷ c = ?
Regina graphs the relationship between temperature (in °C) degrees and elevation (in M) in 9 different cities (Shown below).
What is the meaning of point A?
Choose 1 answer:
(Choice A)
A city 6m below sea level is 5° C below zero
(Choice B)
A city 6m above sea level is 5° C below zero
(Choice C)
A city 6m below sea level is 5° C above zero
(Choice D)
A city 6m Above sea level is 5° C above zero
Answers
The meaning of point A is (d) A city 6m Above sea level is 5° C above zero
How to determine the meaning of point A?From the complete question, the point A is located as:
A = (5,6)
5 and 6 are positive numbers.
This means that A is located 6m above the sea level and 5° C above zero
Hence, the meaning of point A is (d) A city 6m Above sea level is 5° C above zero
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Answer:
ITS CHIOCE C
Step-by-step explanation:
I GOT IT WRONG ON KHAN ACADMEY BC OF THE FIRST ASNWER, AND FOUND OUT THE ACTUAL ANSWER :D
In the equation x² + 10x + 24 = (x + a)(x+b), bis
an integer. Find algebraically all possible values of
b.
Answers
Answer:
The answer is 6...Hope this might help you
Find m I need helppp pleasee !!!
Answers
Answer:
hope this will help you (✿^‿^)
Step-by-step explanation:
by Pythagorean theorem
h²=p²+b²
12²=9²+b²
b²=12²-9²
b=√63
b=7.9372
Which organism will survive best in a damaged ecosystem? (science)
any organism that does not eat the damaged part of the ecosystem
one that eats a wide variety of foods
one that eats primarily one type of food
one that has two main food sources
Answers
Answer:
Step-by-step explanation:
Discussion
Think of what it would be like in your own household. If your mom has been away and the food is starting to spoil, you can't be picky. If you are not picky, you will get by until someone goes shopping.
That's the way its going to work in the ecosystem. I would pick B and hope that it the bad times won't last too long.
please help thanks :)
Answers
The equation of line A and line B will be y =4 and x = 8, respectively.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
We know the equation of the line parallel to the x-axis.
y = c
The equation of line A will be
y = 4
We know the equation of the line parallel to the y-axis.
x = c
The equation of line B will be
x = 8
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Numbers are written on the back of calenders that are given out to customers at a grociery store. Each month a number is drawn for a customer to win a gift card. Is it a random sample or a sample and why
Answers
Answer:
yo whats your name i think that we are from the same class
Step-by-step explanation:
Please help giving 80 points
Graph the function on the coordinate plain
A)what are the x intercepts
B)what is the y intercepts
C)what is the maximum and minimum value
Answers
Answer:
it should be C I did something very very similar to this but different questions
Answer:
a) {-6, 2}
b) -12
c) minimum: -16
Step-by-step explanation:
I find a graphing calculator to be a big help. Its graph is attached.
a) The function can be factored as:
f(x) = (x -2)(x +6)
The factors are zero at the x-intercepts: x = 2, x = -6.
b) The y-intercept is the function value when x=0. That is the constant in the function. The y-intercept is -12.
c) The leading coefficient of the function is positive, so its graph opens upward. The extreme value is a minimum. It is found on the axis of symmetry, at the x-value that is halfway between the x-intercepts: x = (2-6)/2 = -2. The function value there is ...
f(-2) = (-2-2)(-2+6) = -4(4) = -16
The minimum is f(-2) = -16.
23 lbs of onions cost $46. How many lbs of onions can you get with $30 ?
Answers
Answer:
15 lbs of onions.
Step-by-step explanation:
23 lbs divided by $46 = 0.5 lbs per $1
0.5 lbs times $30
15 lbs
What is the perimeter of the parallelogram?
Answers
Answer:
2(a+b)
Step-by-step explanation:
| x- ( - 18) | if x < - 18
Answers
Answer:
well x-(-18) x+18 but the if part is x<-18 will stay the same
Step-by-step explanation:
Find the value of x.
Answers
10
I hope this helped!