What is the least number of colors you need to correctly color in the sections of the pictures so that no two touching sections are the same color?
Answers
Answer:
2
Step-by-step explanation:
Polygons on either side of a common edge need to be colored differently, so 2 colors are needed, as a minimum. Polygons of the same shape do not share an edge, so all can be colored the same color.
Related Questions
A stick has a length of $5$ units. The stick is then broken at two points, chosen at random. What is the probability that all three resulting pieces are longer than $1$ unit?
Answers
Answer:
4/25 = 0.16
Step-by-step explanation:
The shortest stick must be between 0 and 5/3. The probability that it is longer than 1 is therefore:
(5/3 − 1) / (5/3 − 0)
(2/3) / (5/3)
2/5
So the probability that both of the shortest sticks are longer than 1 is (2/5)² = 4/25.
Write 5x^2 - 10x + 4 in vertex form.
Answers
Answer:
y=5(x-1)^2-1
Step-by-step explanation:
Answer:
5(x - 1)² - 1
Step-by-step explanation:
Given
5x² - 10x + 4
Using the method of completing the square
The coefficient of the x² term must be 1 , so factor out 5 from the first 2 terms
= 5(x² - 2x) + 4
add/ subtract ( half the coefficient of the x- term )² to x² - 2x
= 5(x² + 2(- 1)x + 1 - 1 ) + 4
= 5(x - 1)² - 5 + 4
= 5(x - 1)² - 1 ← in vertex form
Which of the following graphs represents a one-to-one function?
Answers
Answer:
Step-by-step explanation:
since the rest of function is not showing, attached are the images of function and one to one
Can someone help me with these two questions I don’t know how to do it and it’s due at 11 I would really appreciate it
Answers
Answer:
6. Unit rate = 1.3 yards per second
7. Unit rate = 0.8 page per minute
Step-by-step explanation:
The unit rate is simply the comparison of 2 quantities, whereby dividing both, the denominator must be 1.
For example, in the graph given comparing distance walked over time, when x (time in s) = 3, y (distance in yd) = 4.
Unit rate represented by the slope is the yards covered per second.
Unit rate = [tex] \frac{4}{3} = 1.33 [/tex]
Unit rate ≈ 1.3 yards per second
For the second graph given, unit rate of the slope is the number of pages read per minute.
From the graph, 4 pages is read at 5 minutes.
Thus,
Unit rate = [tex] \frac{4}{5} = 0.8 [/tex]
Unit rate = 0.8 page per minute
NEED HELP ASAP I DONT GET THIS
Answers
Answer:
x = 60
Step-by-step explanation:
In a circle, the sum of the angles that meet at a point is 360 degrees. So now that we have the total, we can subtract all the given information in the picture. We have 84, 75, 68, and x + 73. Now let us set up and equation for this problem.
360 = 84 + 75 + 68 + x + 73
Now combine like terms.
360 = x + 300
Now subtract 300 on both sides.
x = 60
And this is the value of x.
Answer:
50 degrees
Step-by-step explanation:
84 + 75 + 68 = 227
227 - 360 = 133
133 - 73 = 50
The answer is 50 degrees.
using appropriate properties find
-5/6 x 5/7 - 1/2 x 4/5 - 1/12 x 5/7
part of the chapter rational numbers pls answer quickly as i need it today thanks.
tia
Answers
Answer:
I believe its -68 but i could be wrong, because that's not a rational number, but it could also be -4080/60
PQR shown in the figure below is transformed into STU by a dilation with center (0, 0) and a scale factor of 3
Answers
Answer:
Step-by-step explanation:
Given question is incomplete; here is the complete question.
∆ PQR shown in the figure below is transformed into ∆ STU by a dilation with center (0, 0) and a scale factor of 3.
Complete the following tasks,
- Draw ΔSTU on the same set of axes.
- Fill in the coordinates of the vertices of ΔSTU.
- Complete the statement that compares the two triangles.
When ΔPQR is transformed into ΔSTU by a dilation with center (0, 0) and a scale factor of 3,
Rule to followed to get the vertices of ΔSTU,
(x, y) → (3x, 3y)
P(1, 1) → S(3, 3)
Q(3, 2) → T(9, 6)
R(3, 1) → U(9, 3)
Length of QR = 2 - 1 = 1 unit
Length of PQ = [tex]\sqrt{(3-1)^2+(2-1)^2}=\sqrt{5}[/tex] units
Length of PR = 3 - 1 = 2 units
Length of ST = [tex]\sqrt{(9-3)^2+(6-3)^2}=3\sqrt{5}[/tex] units
Length of TU = 6 - 3 = 3 units
Length of SU = 9 - 3 = 6 units
Therefore, ratio of the corresponding sides of ΔPQR and ΔSTU,
[tex]\frac{\text{PQ}}{\text{ST}}=\frac{\text{QR}}{\text{TU}}=\frac{\text{PR}}{\text{SU}}[/tex]
[tex]\frac{\sqrt{5}}{3\sqrt{5}}=\frac{1}{3}=\frac{2}{6}[/tex]
[tex]\frac{1}{3}=\frac{1}{3}=\frac{1}{3}[/tex]
Since ratio of the corresponding sides are same,
Therefore, ΔPQR and ΔSTU are similar.
Mr rigo bought 49 bags
Answers
Answer:
77 bags
Step-by-step explanation:
if he brought 49 bags then he brought 28 more bags49+28=77
Eggs come in packets of 12 and English muffins come in packets of 10. What is the least number of packages of each that can be bought to be able to make egg sandwiches with no muffins left over?
Answers
Answer:
The LCM of 12 and 10 is 60 so you would need to buy 60 / 12 = 5 packs of eggs and 60 / 10 = 6 packs of muffins.
Instructions: Find the missing side. Round your answer to the nearest
tenth.
30
х
22°
Answers
Answer:
x=74.3
Step-by-step explanation:
tan 22= opp/adj
tan 22=30/x
x=30/tan 22
x=30/0.40402=74.3 unit
Answer:
x = 74.3 to the nearest tenthStep-by-step explanation:
In order to solve for x we use tan
tan ∅ = opposite / adjacent
From the question
x is the adjacent
30 is the opposite
So we have
tan 22 = 30/x
x = 30/tan 22
x = 74.25260
x = 74.3 to the nearest tenthHope this helps you
Write the equations after translating the graph of y=|1/2x-2|+3. One unit to the left
Answers
Answer:
[tex]g(x) = |\frac{1}{2}x - \frac{3}{2} | + 3[/tex]
Step-by-step explanation:
Given
[tex]y = |\frac{1}{2}x - 2| + 3[/tex]
Required
Translate the above one unit to the left
Replace y with f(x)
[tex]y = |\frac{1}{2}x - 2| + 3[/tex]
[tex]f(x) = |\frac{1}{2}x - 2| + 3[/tex]
When an absolute function is translated to the left, the resulting function is
[tex]g(x) = f(x - h)[/tex]
Because it is been translated 1 unit to the left, h = -1
[tex]g(x) = f(x - (-1))[/tex]
[tex]g(x) = f(x + 1)[/tex]
Calculating [tex]f(x+1)[/tex]
[tex]f(x+1) = |\frac{1}{2}(x+1) - 2| + 3[/tex]
Open bracket
[tex]f(x+1) = |\frac{1}{2}x + \frac{1}{2} - 2| + 3[/tex]
[tex]f(x+1) = |\frac{1}{2}x + \frac{1-4}{2} | + 3[/tex]
[tex]f(x+1) = |\frac{1}{2}x + \frac{-3}{2} | + 3[/tex]
[tex]f(x+1) = |\frac{1}{2}x - \frac{3}{2} | + 3[/tex]
Recall that
[tex]g(x) = f(x + 1)[/tex]
Hence;
[tex]g(x) = |\frac{1}{2}x - \frac{3}{2} | + 3[/tex]
Answer:
y=l1/2x-3/2l+3
Step-by-step explanation:
cause im him
Help mee! Deadliest question.. Asap!!
Answers
Answer:
134 136 138 139 141 142 144 146 147 149 155 165
Step-by-step explanation:
You just had to put least to greatest
Alice is thinking of a number n that she wants her sister to guess. Her first clue is that two less than six times her number is between ten and thirty-four (inclusive). Write a compound inequality that shows the range of numbers that Alice might be thinking of.
Answers
Answer:
10 < 6n -2 ≤ 34
n= {3, 4, 5, 6}
Step-by-step explanation:
number
⇒ n
two less than six times the number
⇒ 6n -2
it is between ten and thirty-four (inclusive)
⇒ 10 < 6n -2 ≤ 34
we can solve it as:
10 < 6n -2 ≤ 34 ⇒ add 2 to all sides12 < 6n ≤ 36 ⇒ divide by 6 all sides2 < n ≤ 6n= (2, 6]or
n= {3, 4, 5, 6}Answer:
[2,6]
Step-by-step explanation:
Translate to an inequality. Since two less than six times her number is at least ten and at most thirty-four, we have the following inequality.
10≤6n−2≤34
Solve the compound inequality by isolating the variable in the center.
10≤6n−2≤3412≤6n≤362≤n≤6
Finally, write your answer in interval notation. The inequality includes all values between 2 and 6 including the end values, therefore the final answer is:
[2,6].
13.- La factorización correcta d
expresión 3x2- 24x + 21 es:
A) (3x-3)(x+7)
B) (3x+21)(x-1)
C) (3x+1)(x+21)
D) (3x-3)(x-7)
reción y
Answers
Answer:
Option (D)
Step-by-step explanation:
The given expression is,
3x² - 24x + 21
We will factorize the given expression by the following steps,
3x² - 24x + 21
= 3(x² - 8x + 7)
= 3(x² - 7x - x + 7)
= 3[x(x - 7) - 1(x - 7)]
= 3(x - 1)(x - 7)
= (3x - 3)(x - 7)
Therefore, factored form of the given expression is (3x - 3)(x - 7).
Option (D) will be the correct option.
If the length of AC is2x and the length of BC is 3x-5, the value of x is
Answers
Answer:
The value of x is 5 units.
Step-by-step explanation:
Complete Question
In the figure CD is the perpendicular bisector of AB. If the length of AC is 2x and the length of BC is 3x - 5 . The value of x is ?
The figure is presented in the attached image to this solution.
Solution
Using the concept of similar triangles,
We can prove that triangles CDA is similar to triangle CDB.
This can be proved using the SAS congruence property that two sides and an angle between them are the same.
- Side AD = Side DB (Given in the diagram)
- Angle CDA = Angle CDB = 90° (Also evident from the diagram)
- Side CD = Side CD (common side to the two triangles)
Hence, it is evident that
Side AC = Side CB
2x = 3x - 5
3x - 2x = 5
x = 5 units.
Hope this Helps!!!
What is the domain of the function graphed below
Answers
Answer:
-∞ < x< -∞
Step-by-step explanation:
The domain is the values that x takes
The values that x can take is all real values of x
-∞ < x< -∞
the number of Roberto's baseball cards is 3/4 the number of David's cards. If Roberto gives 1/2 of his cards to David, what will be the ratio of Roberto's cards to David's cards?
Answers
Answer:
The ratio between Roberto and David is 3:11
Step-by-step explanation:
If Roberto were to have 18 cards when we start, then David would have 24. Roberto has 3/4 the amount that David has. Then Roberto gives half of his cards (9) to David. Roberto now has 9 cards and David has 33.
The ratio of Roberto's cards to David's cards will be 3:11.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
The number of Roberto's baseball cards is 3/4 the number of David's cards. If Roberto gives 1/2 of his cards to David.
If Roberto were to have 18 cards when we start, then David would have 24.
Roberto has 3/4 the amount that David has. Then Roberto gives half of his cards (9) to David. Roberto now has 9 cards and David has 33.
The ratio between Roberto and David is 3:11
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Which glide reflection describes the mapping ABC DEF. This is practice for me plz, give answer with explanation. Non-sense answer will get reported
Answers
Answer:
c. translation (x,y) -> (x-4, y-1) followed by reflection about y=0
Step-by-step explanation:
The strategy is to translate B to E then reflect about the x-axis (y=0)
From B to E, the process is
(x,y) -> (x-4, y-1)
Therefore it is a translation (x,y) -> (x-4, y-1) followed by reflection about y=0
In Central City, Elm Street and Maple Street are parallel to one another. Oak Street crosses both Elm Street and Maple Street as shown.
Answers
Answer:
All the letter choices are correct.
Step-by-step explanation:
If thats not what you wanted, just comment below. Thank you!
Answer:
All letters showed are correct
Step-by-step explanation:
3x (4x^2 + 4xy + 5y - 6) = ?
Answers
Answer:
12x^3 + 12x^2y + 15xy - 18x
Step-by-step explanation:
I simply expanded the equation by multiplying everything in the parentheses by 3x.
Answer:
12x^3+12x^2y+15xy-18x
Step-by-step explanation:
3x (4x^2 + 4xy + 5y - 6)
Distribute
3x *4x^2 +3x* 4xy + 3x*5y -3x* 6
12x^3+12x^2y+15xy-18x
Help Please!! I can't seem to get the answer no matter how hard I try.... But it seems so easy.. Wjhsjwskwnw
Answers
Answer:
109 cm³
Step-by-step explanation:
Let the radius of semi-circle be r, then side of the cube is 2r and the height of the solid is also 2r
The circumference of the semi-circle can be calculated as:
2r + 1/2 × (2πr) = 11Then we can find the value of r:
r(2+π)=11r= 11/(2+π)r= 11/5.14r= 2.14 cmThe volume of the combined solid is the sum of volumes of the cube and the semi-cylinder:
V= (2r)³ + 1/2×πr²×2r= 8r³ + πr³= (8+π)×r³V= (8+3.14)×2.14³ = 109.1758 cm³The volume is approx. 109 cm³Will give the brains of me brains and my brains and maby ur brain to u how many brains can i give u if u ask this quetion right?
Answers
Answer:
$10.5 dollars
Step-by-step explanation:
Keep your brains.
Using the data given:
(18+4+12+8)÷4=
42÷4=
$10.5 dollars
12x+40=15x+25 solve for x
Answers
Answer:
5 = x
Step-by-step explanation:
12x+40=15x+25
Subtract 12x from each side
12x-12x+40=15x-12x+25
40 = 3x +25
Subtract 25 from each side
40-25 = 3x+25-25
15 =3x
Divide by 3
15/3 =3x/3
5 = x
Answer:
x=5
Step-by-step explanation:
12x+40=15x+25
12x=15x-15
12x=15x-15-15x
-3x=-15
-3x=-15 divide both by -3
answer is 5
Which pair of complex numbers has a real-number product? (1 + 3i)(6i) (1 + 3i)(2 – 3i) (1 + 3i)(1 – 3i) (1 + 3i)(3i)
Answers
Answer:
(1 + 3i)(1 – 3i) gives real number productStep-by-step explanation:
Given the expressions
[tex](1 + 3i)(6i) ,(1 + 3i)(2 -3i), (1 + 3i)(1 - 3i), (1 + 3i)(3i)[/tex]
From analysis one of the following pairs has real-number products
[tex](1 + 3i)(2 -3i), (1 + 3i)(1 - 3i)[/tex]
Performing operations on
[tex](1 + 3i)(2 -3i)= 2-3i+6-6i^2 \\= 2-3i+6-6(-1) \\=2-3i+6+6 \\=14-3i[/tex]
Performing operations on
[tex](1 + 3i)(1 - 3i) \\= 1-3i+3i-9(i)^2 \\= 1+0-9(-1) \\= 1+9=10[/tex]
Answer:
C
Step-by-step explanation:
trust
Choose the product. -6 p3 (3 p2 + 5 p - 1) -18 p5 - 30 p4 + 6 p3 -18 p6 - 30 p3 - 6 p 18 p3 + 6 p2 - 30 p4 -18 p6 - 24 p3
Answers
Answer:
A) [tex]-18p^5 -30p^4 + 6p^3[/tex]
Step-by-step explanation:
We want to find the correct expansion of the brackets.
The expression given is:
[tex]-6p^3(3p^2 + 5p - 1)\\\\= -6* 3*p^3*p^2 + (-6*5 * p^3 * p) - (-6p^3 *1)\\\\= -18p^5 -30p^4 + 6p^3[/tex]
The correct answer is A ([tex]-18p^5 -30p^4 + 6p^3[/tex])
Answer:
A
Step-by-step explanation:
if x ≥ 5, then 4x _ 20 a) > b) < c) ≤ d) ≥ e) =
Answers
Answer: d
Step-by-step explanation:
x*4=4x
5*4=20
Thus, all the new inequality is is a new, more complex version of the original. Thus, the sign stays the same.
Hope it helps <3
Answer:
d) ≥ .
Step-by-step explanation:
When x = 5 4x = 20.
hen x > 5 4x > 20.
please help me :) Which expression is equivalent to 2 × 2 × 2 × 2 × 2? A.) 10 B.) 2 to the 5 power C.) 4 to the 2 power D.) 5 to the 2 power
Answers
Answer: ITS B
Step-by-step explanation:
(2)(2)(2)(2)(2)
=32
2^5
=32
Hey there! I'm happy to help!
We are talking about exponents here, which is the power to which a number is raised. What does it mean to raise a number to a power? It means to multiply it a certain number times.
For example, 3 to the the 3rd power is 27 because you multiply 3 three times (3×3×3), giving you 27.
We have 2×2×2×2×2. We see that we have the number 2 and need to raise it to a certain power. Since there are 5 2s, we are raising to the 5th power.
Therefore, the answer is B.) 2 to the 5 power.
Have a wonderful day! :D
There are seven roads that lead to the top of a hill. How many different ways are there to reach the top and then go back down?
Answers
Answer:
two I have no idea of the question
Answer: 49 ways
Step-by-step explanation: 7 possible ways up, 7 ways down
Up and back on Rt 1, Up on Rt 1 down on Rt2 Up on Rt 1 down on Rt3. . . . . Up on Rt 7, down on Rt7
You can imagine what was left out of the explanation.
Just Multiply 7×7 = 49
In Deductive reasoning you start from A __set of rules and conditions to determine what must be true? A. Unknown B.hypothetical C. Induced D. Given
Answers
Answer:
Option D is correct.
In Deductive reasoning you start from a 'Given' set of rules and conditions to determine what must be true.
Step-by-step explanation:
Deductive reasoning is a top-to-down reasoning method that makes its conclusion on the basis of given premise(s) which is/are commonly assumed to be true.
It uses given rules, theorems, conditions, methods etc. to prove that other statements are true or not.
Hence, in Deductive reasoning you start from a 'Given' set of rules and conditions to determine what must be true.
Hope this Helps!!!
Please answer it now in two minutes
Answers
Answer:
[tex] r = 17.3 [/tex]
Step-by-step explanation:
We are given the following:
m < T = 87°
TV = u = 11
TU = v = 14
UV = t = ?
Use the Law of Cosines to solve for the value of t as explained below:
[tex] t^2 = u^2 + v^2 - 2(u)(v)*cos(T) [/tex]
[tex] r^2 = 11^2 + 14^2 - 2(11)(14)*cos(87) [/tex]
[tex] r^2 = 121 + 196 - 16.12 [/tex]
[tex] r^2 = 317 - 16.12 [/tex]
[tex] r^2 = 300.88 [/tex]
[tex] r = \sqrt{300.88} [/tex]
[tex] r = 17.3 [/tex] (to the nearest tenth)