====================================================
Explanation:
Let's say we have the following code names for each shape
C = circleS = squareT = triangleP = pentagonWe have 4! = 4*3*2*1 = 24 ways to arrange them without any restrictions
Some permutations have C and S together, while others do not.
Example of them together: CSTP
Example of them separated: CTSP
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Let's say Amanda used a rubberband or glue to connect the circle to the square. This way the two shapes would always be together. They combine to form a new shape of sorts.
Let's call this new shape "polygon" and define it as
L = polygon
The codename L is just a placeholder for CS or SC.
So instead of the set of these codenames {C,S,T,P}, we have this reduced set {L,T,P}
No matter how we arrange the items in {L,T,P}, the circle and square are always going to be together. Again, anywhere you see an L, you replace it with CS or SC.
--------------------------
There are 3 letters in {L,T,P} so there are 3! = 3*2*1 = 6 ways to arrange those 3 letters. There are 2 ways to arrange S and C within any of those 6 arrangements mentioned earlier.
So there are 2*6 = 12 different ways to arrange the four shapes such that S and C are together somehow.
Recall earlier we found 24 ways total to arrange the shapes without restriction. This must mean there are 24 - 12 = 12 permutations such that S and C are not together. This is the final answer we're after.
From 1990 to 2000, the number of visits by the people to Bryce Canyon National Park increased by about 23.9 thousand visits per year. In 2000, there were about 1102.4 thousand visits to the park.
Answer:
Write an equation that gives the number of visits (in thousands) as a function of the number of years since 1990
Step-by-step explanation:
Find the slope and the y-intercept of the line.
5x - 4y= -16
Write your answers in simplest form.
Step-by-step explanation:
Use the slope-intercept form
y=mx+b
to find the slope m and y-intercept b
Slope: 5/4
y-intercept: (0,-4)
What is the answer I need it ASAP
Answer:
the 1st one!
Step-by-step explanation:
Garrett paid $20 for five movie tickets. Find the cost per ticket.
Write the unit rate rounded to the nearest hundredth
Answer:
4 is the unit rate
Step-by-step explanation:
What is the answer I need help pls
Answer:
The answers are,
-3, -7
-2, 4
0, 2
2, 8
3, 11
Step-by-step explanation:
You just plug in the domain values into the equation and solve for f(x), so your domain number is your x value and the y value(f(x) value) is the answer
Lee drank 1 2/3 quarts water Monday. He drank 2/5 water Tuesday. How amny quarts did he drink today?
Answer:
Lee drank 31/15 qt. of water (2 1/15 qt. as a mixed number, or approximately 20.07 qt. as a decimal).
Step-by-step explanation:
To add and subtract fractions, a least common denominator needs to be found. But first, to make it easier, mixed numbers should be replaced with improper fractions. So, Lee drank 5/3 qt. of water.
Now to find the LCD (least common denominator), the denominators of each fraction should be multiplied by 1, then 2, then 3, etc until a product of one fraction is the same as that of another (as shown):
For 2/5, the denominator is 5, so 5*1 = 5, 5*2 = 10, 5*3 = 15...
For 5/3, the denominator is 3, so 3*1 = 3, 3*2 = 6, 3*3 = 9, 3*3 = 4, 3*5 = 15...
15 is the LCD, since both denominators can be multiplied by a whole number for a product of 15.
Now, each fraction is multiplied by 1, by multiplying each fractions numerators and denominators by the number found previously that causes the denominator to equal 15:
For 2/5, 5*3 = 15, so both 2 and 5 are multiplied by 3
2* 3 = 6, 5 * 3 = 15, so 2/5 = 6/15
For 5/3, 3*5 = 15, so both 5 and 3 are multiplied by 5
5* 5 = 25, 3 * 5 = 15, so 5/3 = 25/15
Now these fractions can easily be added or subtracted by performing these operations on their numerators. Sonia drank 6/15 qt. more than Lee, so she drank 6/15 + 25/15 qt. of water, or 31/15 qt.
Step-by-step explanation:
What is the x-and y-intercept of the graph 4x -5y =40??
Answer:
x-intercept = 10
y-intercept = -8
Step-by-step explanation:
[tex]4x-5y=40[/tex]
To identify the y-intercept, we will need to format the equation in the form [tex]y=mx+b[/tex]. We can start by subtracting [tex]4x[/tex] from both sides of the equation:
[tex]-5y=-4x+40[/tex]
Divide both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]-5[/tex]:
[tex]y=\frac{-4}{-5} x - 8[/tex]
The [tex]b[/tex] is representative of the y-intercept in [tex]y=mx+b[/tex].
Identify [tex]b[/tex] in the equation [tex]y=\frac{-4}{-5} x - 8[/tex]:
[tex]b=-8[/tex]
Therefore, our y-intercept is -8.
To solve for the x-intercept, replace the [tex]y[/tex] in the equation [tex]y=\frac{-4}{-5} x - 8[/tex] with a zero:
[tex]0=\frac{-4}{-5} x - 8[/tex]
Add [tex]8[/tex] to both sides of the equation:
[tex]8=\frac{-4}{-5} x[/tex]
You can go ahead and divide [tex]-4[/tex] by [tex]-5[/tex] to get rid of the fraction:
[tex]8=0.8x[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]0.8[/tex]:
[tex]10=x[/tex]
Therefore, our x-intercept is 10.
Need help geometric sequences see pic for details
Given:
The recursive formula of a geometric sequence is
[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex]
[tex]a_1=-3[/tex]
To find:
The explicit formula of the given geometric sequence.
Solution:
We know that, first term of geometric sequence is [tex]a_1=-3[/tex].
Recursive formula of a geometric sequence is
[tex]a_n=a_{n-1}\times r[/tex] ...(i)
where, r is common ratio.
We have,
[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]r=\dfrac{1}{8}[/tex]
The explicit formula of a geometric sequence is
[tex]a_n=a_1r^{n-1}[/tex]
Putting [tex]a_1=-3[/tex] and [tex]r=\dfrac{1}{8}[/tex], we get
[tex]a_n=-3\left(\dfrac{1}{8}\right)^{n-1}[/tex]
Therefore, the correct option is D.
The table below hows Craig’s incomplete net worth statement,Which of the following show the correct amounts for Total Assets and Total Liabilities?
Answer:
Total assets: 110,000
Total liabilities: 70,000
Step-by-step explanation:
cot? 2x + cos2x + sin’ 2x = csc? 2x
Need help with 40
Answer:
[tex]\rule{100mm}{0.1mm}[/tex]
[tex]\cot^2(2x)+\cos^2(2x)+\sin^2(2x)=\csc^2(2x)[/tex]
[tex]\dfrac{\cos^2(2x)}{\sin^2(2x)} +[(\cos^2(2x)+\sin^2(2x)]=\csc^2(2x)[/tex]
[tex]\dfrac{\cos^2(2x)}{\sin^2(2x)} +1=\csc^2(2x)[/tex]
[tex]\dfrac{\cos^2(2x)+\sin^2(2x)}{\sin^2(2x)}=\csc^2(2x)[/tex]
[tex]\dfrac{1}{sin^2(2x)} =\csc^2(2x)[/tex]
[tex]\boxed{\csc^2(2x)=\csc^2(2x)}[/tex] ✔
[tex]\rule{100mm}{0.1mm}[/tex]
plis help
Find the distance from the origin to the graph of 6x+3y+2=0
a.
0.33
b.
0.31
c.
0.3
d.
0.32
Answer:
Step-by-step explanation:
B is the answer
If the point (x, y) is in Quadrant IV, which of the following must be true?
Answer:
Any coordinate point with (positive x, negative y)
1) A box contains 6 red marbles, 10 black marbles, 4 green marbles, and 2 white marbles. One
marble is drawn randomly. What is the probability that it is black or white marble?
Answer:
The probability of a white marble or black marble being drawn is 12/22.
Step-by-step explanation:
First, add all the marbles together.
6 + 10 + 4 + 2 = 22
10 + 2 = 12
= 12/22
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
whats 1 + 1? brainly to who could answer
Answer:
i think its 4
Step-by-step explanation:
failed my elementary statistics college class, 1st semester, can i retake the same class? or no
Answer:
I think you can
Step-by-step explanation:
Answer:
I think you can take it in the next semester
Step-by-step explanation:
Each of four test scores in Connie’s class is to be weighted equally. On the first three tests, Connie scored 80%, 90% and 95%. What percent must she score on her fourth test to have an overall average of exactly 90%?
Answer:
95%is the answer
Step-by-step explanation:
Answer:
95%
Step-by-step explanation:
We can use the balancing method to do this.. first what is the total below 90?
The total is 10% because 90-80 which was the only percentage below 90 is 10%. Then, what is the total above 90?
The total is 5% because the only percentage above 90 is 95 and 95-90 is 5%
Now we use the balancing method to get from 5-10.
Using the balancing method we get 95%
In dogs, there is a hereditary deafness caused by a recessive gene, “d." A kennel owner
has a male dog (Gilbert) that she wants to use for breeding purposes if possible. The dog can
hear. what are the two possible genotypes of Gilbert?
Answer:
Use the following for questions 9-11: In dogs, there is an hereditary deafness caused by a recessive gene, "d." A kennel owner has a male dog (Gilbert) that she wants to use for breeding purposes if possible. The dog can hear. ... This can be tested by breeding the dog to a deaf female (dd).
Step-by-step explanation:
hope it worked
What is the prime factorization of 48?
Answer:
2x2x2x2x3
Step-by-step explanation:
What is the slope of a horizontal line?
Answer:
Slope of a horizontal line. When two points have the same y-value, it means they lie on a horizontal line. The slope of such a line is 0, and you will also find this by using the slope formula.
centra
Jonah drives his car to and from work. The total length of the trip to and from work is 19.8 miles. In
August, Jonah worked 26 days.
How many miles in all did Jonah drive to and from work that month? Complete the explanation.
19.8
26
Jonah drove
miles in August
Plz
514.8 your welcome
All you have to do is multiply 19.8 x 26
A photographer charges $25 to travel to a client's location, plus $55 per hour for her
services. What is the duration, in hours, of a photography session that costs $465?
Answer:
8 Hours
Step-by-step explanation:
First, you have to subtract the 25$ because we already know that that is a stable value (meaning it will not change)
Then, you have to divide 440 by 55 to get an answer of 8 hours for the session :D
To find total multiply 55 by number of hours (h) and then add 25:
Total = 55h + 25
Given the total solve for h:
465 = 55h + 25
Subtract 25 from both sides
440 = 55h
Divide both sides by 55
H = 440/55
H = 8
It was 8 hours
What is 2 1/2 written as an improper fraction?
2 1/2 as an improper fraction is 5/2
First, split the mixed fraction into the sum of a whole number and a fraction:
2 1/2 =>2+ 1/2
Then, rewrite the whole number as an equivalent fraction: 2 => 4/2
Lastly, add together the two fractions to get the answer:
4/2 + 1/2 = 5/2
Solve the following system of equations using the elimination method. 8x – 5y = 5 –8x – 6y = 6
A)
(2,–3)
B)
(0,1)
C)
(–2,3)
D)
(0,–1)
Answer:
x = 0, y = -1
Step-by-step explanation:
Find the perimeter of the polygon if angle B is congruent to angle D.
Answer:
32
Step-by-step explanation:
The sides of the quadrilateral are tangents to the circle.
Tangents drawn from an external point to the circle are congruent
5+5+4+4+3+3+4+4=32
Answer:
32
Step-by-step explanation:
i did it and got it right
I need help pleaseeee
Answer:
6mn
Step-by-step explanation:
Let the value we are finding be “box.” We can divide both sides by (3m - 4) to isolate box on one side. We get:
box = (18nm^2 - 24mn)/(3m - 4)
Note that we can factor out 3m - 4 in the numerator and cancel it with the denominator. (18nm^2 - 24mn)/(3m-4) = (3m-4)(6mn)/(3m-4) = 6mn.
I hope this helps! :)
Answer:
6mn
firstly divide both the sides with 3m-4
by letting the missing place as" x"
Step-by-step explanation:
take 6mn common from 18m square n - 24mn
you will get 3m- 4 left which get crossed with 3m- n and the value of x will be 6mn
carlos has 3 times as many colored pencil as Joe. Carlos has 36 colored pencil.
if a bus with an average speed of 45 km per hour takes 10 hrs to travel from a place to other in how many hour the bus can travel from one place to other if speed is increased by 5 km per hour
Answer:
9 Hours
Step-by-step explanation:
If it is increased by 5 km that would make it 50. But, let's go back to the 45 to find out how many km we are traveling. If we are doing 45 km per hour then you just multiply the 10 by 45 and get 450 km. Now that we have that, if the new speed is 50 km per hour, all we need to do is 450 divided by 50, which will get you 9.
the absolute value of 15.3 is the opposite of 15.3?
Answer:
No. The absolute value of 15.3 is 15.3, not the opposite.
Step-by-step explanation:
Absolute value makes any number its positive form. For example -2 in absolute form is 2. So 15.3 in absolute form is still positive 15.3.
ASAP ASAP 30 POINTS
A ratio table shows ratios that are....
A)equivalent
B)subtracted
C)unequal
Answer:
A ) equivalent
Step-by-step explanation:
<333 .! :)
Answer:
I agree with the answer equivalent because I am also doing the assignment
Have a great day!
The cost, including sales tax, of a Ford Focus SE is $19,392.70. If the sales tax is 6%, find the cost of the car before the tax was added.
Answer:
the price before taxes was $18,229.13
Step-by-step explanation:
