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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.
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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.
The circle shown has a radius of 4 cm.
Not drawn
to scale
х
What is the length of the diameter of the circle?
cm
Answer:
8 cm
Step-by-step explanation:
4+4=8 To get the diameter, double the radius and add them together.
Jessica always uses the same ratio of green beads to blue beads when she makes necklaces. The graph shows these equivalent ratios.
Which table shows the same data?
Answer:
d
Step-by-step explanation:
Suppose your normal body temperature is 98 3/5degrees Fahrenheit. If your body temperature goes up 3 1/5 degrees on Monday and then down 2 1/5 degrees on Tuesday, what is your temperature on Tuesday?
Triangle PQR is rotated 180 clockwise about point m and the image of point p is p and the image of point r is r what are the coordinates of the image of point Q
Answer:
Rotating 180 clockwise would mean that Q is Q if r is r, the coordinates of it pointing to Q would be in your picture , can I see a picture of the problem?
Step-by-step explanation:
Which of the following statement is TRUE?
A. THE ONLY FACTORS OF 9 ARE 1 AND 9
B. THE ONLY FACTORS OF 10 ARE 1,2 AND 10
C.THE ONLY FACTORS OF 11 ARE 1 AND 11
D.THE ONLY FACTORS OF 12 ARE 1,2,6, AND 12.
PLEASE HELP!!!!!!!
Answer:
C.
Step-by-step explanation:
11 is a prime number, meaning that its only factors are 1 and itself.
Answer:
c
Step-by-step explanation:
9 10 11 12
1,9 1,10 1,11 1,12
3,3 2,5 2,6
3,4
What is the greatest common factor of 36, 90 and 108?
Answer:
The one greatest common factor of 36, 90, 108 is 18.
Step-by-step explanation:
An infeasible problem is one for which ________________________ Group of answer choices the objective is maximized or minimized by more than one combination of decision variables. there is no solution that simultaneously satisfies all the constraints. the Allowable Increase or Allowable Decrease values for changing cells are zero. there is exactly one solution that will results in the maximum or minimum objective.
Answer:
there is no solution that simultaneously satisfies all the constraints.
Step-by-step explanation:
An infeasible problem is one for which there is no solution that simultaneously satisfies all the constraints.
In linear programming, when a linear problem or program has no solution that simultaneously satisfies all the constraints i.e no feasible solution can be generated or gotten, then, the problem is said to be an infeasible problem. This ultimately implies that, an infeasible problem is one that does not have an optimal solution for all of its constraints (linear and non-linear constraints).
For example, when the demand requirement in a manufacturing plant or industry is much greater than its available capacity this will result into an infeasible problem. Also, when various functional managers in different departments in an organization have varying degree of requirements because there won't be an optimal solution.
Can two fraction with the same numerator and different denominators be equal? Use words and numbers to explain.
Step-by-step explanation:
Since equivalent fractions do not always have the same numerator and denominator, one way to determine if two fractions are equivalent is to find a common denominator and rewrite each fraction with that denominator. Once the two fractions have the same denominator, you can check to see if the numerators are equal.
The two fractions with the same numerator and different denominators can not be equal.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A division number is a number that addresses the piece of the entire, where the entire can be any number. It is a numerator and a denominator.
The fraction is in the form of a numerator and denominator. The two fractions can be equal if and only if their numerator and denominator are equal.
The two divisions with similar numerators and various denominators can not be equivalent.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Five more than three times a number is 131. Find the number.
Which of the following is the equation in slope-intercept form for the line that passes through the points (-2, 4) and (2.0) ?
O y = x + 2
O y = x-2
O y = -x + 2
Answer:
y = -x + 2
Step-by-step explanation:
Find the slope with rise over run:
(y2 - y1) / (x2 - x1)
(0 - 4) / (2 + 2)
-4 / 4
= -1
Find the y intercept by plugging in the slope and a point:
y = mx + b
4 = -1(-2) + b
4 = 2 + b
2 = b
Plug in the slope and y intercept:
y = -x + 2
So, the correct answer is y = -x + 2
x =0, y>=0 Maximum for P =3x +2y
Answer:
day
Step-by-step explanation:
6th grade and the final grade for this semester and the
which triangle could be drawn as is it described
Answer:
you didnt add the attachment
ANSWER ASAP ITS FOR FINALS
Name Geometry B Final ID: 1 Date Period Name the relationship: complementary, linear pair, vertical, adjacent, alternate interior, corresponding, or alternate exterior, 1) 2) the 3) 4) # Find the measure of angle b 6) 5)
Answer:
9. 66°
10. 44°
11. [tex]2\sqrt{7}[/tex]
12. [tex]2\sqrt{3}[/tex]
13. 27.3
14. 33.9
15. 22°
16. 24°
Step-by-step explanation:
9. Add 120 + 80 (equals 200) and subtract that from 360 (Because all angles in a quadrilteral add to 360°), this equals 160. Plug the same number in for both variables in the two other angle equations until the two angles add to 160. For shown work on #9, write:
120 + 80 = 200
360 - 200 = 160
12(5) + 6 = 66°
19(5) - 1 = 94°
94 + 66 = 160
10. Because the two sides are marked as congruent, the two angles are as well. This means the unlabeled angle is also 68°. The interior angles of a triangle always add to 180°, so add 68+68 (equals 136) and subtract that from 180, this equals 44. For shown work on #10, write:
68 x 2 = 136
180 - 136 = 44
11. Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #10, write:
a² + b² = c²
a² + 6² = 8²
a² + 36 = 64
a² = 28
a = [tex]\sqrt{28}[/tex]
a = [tex]2\sqrt{7}[/tex]
12. (Same steps as #11) Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #11, write:
a² + b² = c²
a² + 2² = 4²
a² + 4 = 16
a² = 12
a = [tex]\sqrt{12}[/tex]
a = [tex]2\sqrt{3}[/tex]
13. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #13, write:
Sin(47°) = [tex]\frac{20}{x}[/tex]
x = 27.3
14. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #14, write:
Tan(62°) = [tex]\frac{x}{18}[/tex]
x = 33.9
15. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #15, write:
cos(θ) = 52/56
θ = cos^-1 (0.93)
θ = 22°
16. (Same steps as #15) Use SOH CAH TOA and solve with a scientific calculator. For shown work on #16, write:
sin(θ) = 4/10
θ = sin^-1 (0.4)
θ = 24°
Good luck!!
Mike and Joe each receive money for their lunch. Mike receives $100 and spends $3 each day on his lunch. Joe receives $20 and then an additional $5 each day. Joe saves his
money and does not buy lunch. How many days will it take for Mike and Joe to have the same amount of money?
Answer:
10 days
Step-by-step explanation:
Write an equation where both sides equal the same thing, using x as the variable for the amount of days
100-3x=20+5x
100-20=3x+5x
80=8x
x=10
1. Display the data in a matrix A with rows indicating years. What is element a 14?
Answer:
LOL i don't even know
Step-by-step explanation:
Answer:
63
Step-by-step explanation you just killed my brainmeats
Which equation should you solve to find x?
Answer:
B
Step-by-step explanation:
[tex]sin ~26^\circ=\frac{x}{10}[/tex]
Answer:
sin 26 = x/10
Step-by-step explanation:
Help thank you to who ever does I will mark brainliest.
Answer:
V = 200.96 units ^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
The radius is 4 and the height is 12
V = 1/3 ( 3.14 ) ( 4)^2 * 12
V = 200.96 units ^3
ANSWER: 200.96 units
Michael is painting a cylindrical tank with a radius of 15 feet and a height of 60 feet. He must determine the surface area of the tank
so that he knows how much paint to purchase. What is the surface area of the tank, rounded to the nearest whole number?
Answer:
7069.5 ft^2
Step-by-step explanation:
Step one:
given data
dimension
radius of 15 feet
height of 60 feet
Required
The surface area of the tank
Step two:
[tex]A=2 \pi rh+2 \pi r^2[/tex]
substitute
[tex]A= 2*3.142*15*60+2*3.142*15^2\\\\A=5655.6+1413.9\\\\A=7069.5[/tex]
A= 7069.5 ft^2
Answer:
7069.5 ft^2
I took the test and got a 100
Asafa runs 0.75 kilometers in 6 minutes. Jemaine runs 3,000 meters in half an hour. Who ran at a faster rate?
Answer:
Asafa ran at a faster rateStep-by-step explanation:
Asafa's speed:
0.75 km/ 6 min = 750 m/ 6 min = 125 m/minJemaine's speed:
3000 m / 30 min = 100 m/minAsafa ran at faster rate as 125 m/min > 100 m/min
You want to buy 4 pencils, each costing 88 cents. How many dollar bills should you take to the store?
Answer:
4
Step-by-step explanation:
Answer:
$4
Step-by-step explanation:
0.88x4 = 3.52
so take 4
2 3/4 as an improper fraction
If Tim has 2/3 pizza to share with 6 friends how much does he friend get
Answer:
Each friend gets 1/9th of the pizza.
Step-by-step explanation:
Assuming Tim does not have any pizza, you would multiply 2/3 by 3 to get 6/9. 6/9 divided by 6 is 1/9.
Help pls I'm really busy and if I get ur help you will make my whole day :(
Answer:
1.) 7 ft = 84 in 2.) 100 yd= 300 ft 3.) 96 oz= 6 lbs 4.) 32 fl oz= 4 c 5.) 48 oz 6.) 80,000 lbs
Step-by-step explanation:
You have to use conversation rates.
1. 84
2. 300
3. 6
4. 4
5. 48
6. 80,000
Step-by-step explanation: I hope this made your day ツ
PLEASE HELP ME THIS IS URGENT!! THIS IS ACC MATHEMATICS!! Please I need to turn this in
(MARKING BRAINLIEST) 100 points
Answer: 1) $0.76 per serving of pumpkin pie
2) 64 people
3)
1 1/3 cup sweet potatos
2 tablespoons + 2 teaspoons of white sugar
1 egg
1/4 teaspoon of salt
2 tablespoons of butter
2 tablespoons + 2 teaspoons of milk
1/4 teaspoon of vanillia
2 tablespoons + 2 teaspoons of brown sugar
1 tablespoon + 2 1/3 teaspoons flour
2 tablespoons + 2 teaspoons of peacans
Step-by-step explanation:
1) the total cost of the ingredients needed to prepare a pumpkin pie = $1.50 + ($2.59 / 6) + ($5.99 / 6) + $1.25 + ($3.79 / 2) = $6.075
if we cut 8 servings per pie, then the cost per serving = total cost of the pie/number of servings = $6.075 / 8 = $0.759375 ≈ $0.76 per serving of pumpkin pie
2) 1lb=16oz
24/6=4
4x16=64
Answer:
0.76 per serving of pumpkin pie
2) 64 people
Step-by-step explanation:
f(x)= x^2 + 6x + 8
g(x)= x+2
(f+g)(x)=
(f-g)(x)=
(f•g)(x)=
(f/g)(x)=
Answer:
2^2
Step-by-step explanation:
thusly the attached to draw people protesting against the attached document below Regards Dave has a blissful weekend and the attached document below Regards
please!
If the sixth term in a geometric sequence is 1/625, and the common ratio is 1/5, find the explicit formula of the sequence.
Question 21 options:
an=(15)n−1for n ≥ 1
an=(5)⋅(15)n−1for n ≥ 2
an=(1)⋅(15)n−1for n ≥ 2
an=(5)⋅(15)n−1for n ≥ 1
Answer:
aₙ = 5*(1/5)^(n - 1)
Step-by-step explanation:
The recursive relation for a geometric sequence is:
aₙ = aₙ₋₁*R
where R is the common ratio.
We could write this in a general form as:
aₙ = a₁*(R)^(n - 1)
where a₁ is the first term of the sequence.
In this case we know that:
R = 1/5
And that:
a₆ = 1/625
Then we can replace these values in the above relation to get:
a₆ = (1/625) = a₁*(1/5)^(6 - 1) = a₁*(1/5^5) = a₁*(1/3125)
1/625 = a1*(1/3125)
(3125/625) = a1 = 5
Then the formula will be:
aₙ = 5*(1/5)^(n - 1)
If it takes 3 gallons of gas to go 60 miles, how many gallons of gas does it take to go 440 miles at the same rate?
Answer:
it would take 22 gallons of gas
Step-by-step explanation:
3 divided by 60
that’s the amount of gas per single mile
then that number times 440 (number of miles you wish to go).
madison's family drove to her grandmothers' house. they drove 58.6 miles in the first hour, 67.2 miles in the second hour, and 60.5 miles in the third hour they followed the same routine to return home. about how much far did madison's family travel?
Answer:
add the 3 distances
Step-by-step explanation:
58.6 +67.2 + 60.5 = ( use a calculator ) = 186.3
bc
Alex rents a car for one day. The charge is $18 plus $0.12 per mile. Alex wants to spend exactly $30. Write an equation to represent the situation.
A) 30 - 0.12 = 18x
B) 18 + 0.12x = 30
C) 18 - 0.12x = 30
D) 18x + 0.12 = 30
please help
Answer:
B)
Step-by-step explanation:
Because it says that Alex wants to spend exactly $30 so you want to have 30 as the total ( = 30 )
and it says 18 plus, you only add 18 one time ( 18 + )
and then it says 0.12 per mile, so you need to do something times 0.12 + 18 and get exactly 30. so you do ( 0.12x ) in this case we're not solving it we're just doing the equation so it's just 0.12x instead of a specific number
Put it all together and you get 18 + 0.12x = 30
Hope this helps dude