A section of a tessellated plane is shown. Which type of symmetry does the tessellated plane have?
The supplied figure's half is tipped downward; therefore, to make them symmetric, we must translate the figure upwards. Anden consider the negative image.
what is symmetry?In mathematics, symmetry is the quality of an object being split into two identical, mirrored parts. What does axis of symmetry mean? The term "axis of symmetry" refers to a hypothetical line that can fold or divide an item into two identical mirror halves. If two halves can fit together, then anything is symmetrical. Drawing a mirror line in the center and making sure both halves are the same will allow you to determine the shape's symmetry. To put it another way, symmetry is when two things are facing one another or when two things have mating pieces that revolve about an axis.
The supplied figure's half is tipped downward; therefore, to make them symmetric, we must translate the figure upwards. Anden consider the negative image. We obtain the translational and reflective symmetry.
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Ida is walking dogs to help pay for sports equipment. She gets paid $10 for every dog walked and made a total of $70 on Saturday. Write an equation to show how many dogs Ida walked Saturday.
10x = 70
10 − x = 70
70x = 10
70 − x = 10
Answer:10x7=70
Step-by-step explanation:
Answer:
A 10x = 70
Step-by-step explanation:
X represents the number of dogs Ida walked on Saturday.
The graph of the absolute value parent function, fx) = [xl, is stretched
horizontally by a factor of 6 to create the graph of g(x). What function is g(x)?
O A. g(x) = (x+61
B. g(x) = 6] x1
O c. g(x) = \šal
D. g(x) = 16x1
Answer:
g(x) = [x/6]
Step-by-step explanation:
The given graph is f(x)=[x]
On stretching the function f(x) by a factor of 6, the new function g(x) is
g(x) = f(x/6)
So, g(x) = [x/6]
Hence, on stretching the f(x) by a factor of 6, the new function g(x)=[x/6].
Note that none of the given options matched.
A physics student walks 100 meters in 80 seconds. The student stops for 30 seconds, and then walks 200 meters farther in 90 seconds. What is the average speed of the entire walk?.
The average speed of the student for his entire walk is equal to 1.5 m/s. Therefore, option (b) is correct.
What is the average speed?
The average speed of a body is calculated as the total distance traveled in a fixed interval of time. The average speed can be determined by dividing the total distance traveled by a body by the total time.
The average velocity is a single value if the object moves uniformly. Speed is a scalar quantity, it has no specified direction. The average speed has the S.I. unit the same as velocity i.e. m/s.
Given the distance covered by a student in first 80 sec = 100m
After stooping for 30sec again cover a distance of 200m in 90sec.
The total distance traveled by the student = 100 + 200 = 300m
The time taken by student to cover distance = 80 + 30 +90 = 200 sec
The average speed of the student = total distance/ total time taken
= 300/200 = 1.5 m/s
Therefore, the average speed of the student is equal to 1.5m/s.
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the diffie-hellman algorithm depends for its effectiveness on the difficulty of computing discrete logarithms. true or false?
True. The Diffie-Hellman algorithm relies on the difficulty of computing discrete logarithms to maintain its effectiveness.
The statement is true. The Diffie-Hellman algorithm is a key exchange protocol that allows two parties to establish a shared secret key over an insecure channel.
Its security is based on the assumption that computing discrete logarithms in a finite field is a computationally challenging problem.
The algorithm involves modular exponentiation and modular arithmetic operations, making it resistant to attacks based on the difficulty of computing discrete logarithms. The discrete logarithm problem refers to finding the exponent in a power equation modulo a prime number
The security of the Diffie-Hellman algorithm relies on the fact that solving the discrete logarithm problem for large prime numbers is considered difficult and computationally expensive. As long as the discrete logarithm problem remains hard to solve, the Diffie-Hellman algorithm is effective in providing secure key exchange.
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Explain how to add adjustments to a work sheet when more than one adjustment is required: (Check all that apply.)
A. These adjustments are omitted from the work sheet.
B. The adjustment can be added to a blank line.
C. The adjustment can be squeezed in on one line.
D. The adjustment can be combined into one adjustment amount.
When more than one adjustment is required on a worksheet, the adjustment can be added to a blank line and the adjustment can be combined into one adjustment amount. Option b and d is correct.
The adjustment can be added to a blank line if there is an available blank line on the worksheet, each adjustment can be separately added to its own line, ensuring clarity and organization.
The adjustment can be combined into one adjustment amount instead of listing each adjustment separately, it is also possible to combine them into a single adjustment amount. This is appropriate when the individual adjustments are related or impact the same account.
So the correct options are B and D.
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15≥3x-3>-12
What would the answer to this be
Answer:
-3 < x ≤ 6
(-3, 6]
Step-by-step explanation:
15 ≥ 3x - 3 > -12
+3 +3 +3
------------------------
18 ≥ 3x > -9
÷3 ÷3 ÷3
-------------------
6 ≥ x > -3
-3 < x ≤ 6
(-3, 6]
I hope this helps!
Write an equation for the transformed logarithm shown below, that passes through (3,0) and (0,2) f(x)= Question Help: −b Video
The equation for the transformed logarithm that passes through the points (3,0) and (0,2) can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants to be determined.
To find the equation for the transformed logarithm, we need to use the given points (3,0) and (0,2) to determine the values of a, b, h, and k. Let's start with the point (3,0). Plugging the x-coordinate (3) into the equation, we have:
0 = -b * log(base a)(3 - h) + k
Next, we'll use the point (0,2) to obtain another equation. Plugging the x-coordinate (0) into the equation, we get:
2 = -b * log(base a)(0 - h) + k
Simplifying these equations, we have a system of equations to solve for a, b, h, and k. However, since the equation involves a logarithm, we need more information to determine the specific values of a, b, h, and k.The transformed logarithm function includes transformations such as vertical stretches/compressions (b), horizontal shifts (h), and vertical shifts (k). Without more specific information about these transformations or the base of the logarithm, it is not possible to determine the equation uniquely.
In general, the equation for a transformed logarithm can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants determined by the specific transformations applied to the logarithm function. It's important to have additional information or instructions to determine the values of a, b, h, and k and provide an equation that accurately represents the given transformed logarithm.
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2. The equation and the graph represent two functions. Use the equation y = 4 and the graph to answer the questions.
a) When x = 4, the function y = 4 has the greater numeric value.
b) The two equations have the same value for x = 6.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
For which the parameters are given as follows:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.From graph, when x = 0, y = 1, hence the intercept b is given as follows:
b = 1.
When x increases by two, y increases by one, hence the slope m is given as follows:
m = 1/2
m = 0.5.
Meaning that the function is given as follows:
y = 0.5x + 1.
When x = 4, the value is given as follows:
y = 0.5(4) + 1
y = 3 < 4.
The two functions will have the same value when:
0.5x + 1 = 4
0.5x = 3
x = 3/0.5
x = 6.
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Patty got a robotics kit for her birthday. She is building a laundry robot that can take out herclothes from the dryer and fold them. She has some of it complete, but the robot still needs 3arms and 6 wheels. Patty has saved up $68, which is enough to buy the parts she needs. Shelooks at a robotics catalog to see how much it will cost.CostArms$13Wheels$4How much money is left over after Patty buys the parts?
We know that:
- She has some of it complete, but the robot still needs 3 arms and 6 wheels.
- Patty has saved up $68, which is enough to buy the parts she needs.
- Arms costs $13 and wheels costs $4
We must find how much money is left after making the purchase.
To find it we must subtract the money spent on the purchase from the money saved.
- money spent:
Is the money spent when she buys the arms and the wheels
\(\text{ \$}13\cdot3+\text{ \$}4\cdot6=\text{ \$}63\)So, the money spent is equal to $63
- money saved
Is the money Patty has saved.
Patty has saved up $68.
Finally, subtracting the money spent on the purchase from the money saved
\(\text{ \$}68-\text{ \$}63=\text{ \$}5\)ANSWER:
After Patty buys the parts, $5 is left.
Gauss' Law can be used to derive the field of a uniformly charge sphere of radius R with charge density rho
0
. One finds that (we will do this next week): E(r)≡E(r)
r
^
=
3ϵ
0
rho
0
r
{
1
(
r
R
)
3
r
r≥R
(a) (2 points) Check that the charge density rho(r) is what you expect by computing ϵ
0
(∇⋅E) everywhere (both for r
(3)
(r).
(a) For r < R, ϵ₀(∇⋅E) = 3ρ₀. For r ≥ R, ϵ₀(∇⋅E) = 0. (b) ρ(r) = ρ₀ for r < R and 0 for r ≥ R. Q = ρ₀V, where V is the volume of the sphere. (c) As R → 0 (fixed Q), ρ₀ becomes infinitely large, representing a point charge at the center, akin to the Dirac delta function δ³(r).
(a) To check the charge density ρ(r) using Gauss's Law, we need to compute ϵ₀(∇⋅E) everywhere, both for r < R and r ≥ R.
1. For r < R:
The electric field inside the sphere is given by E(r) = ρ₀ * r.
∇⋅E = (1/r²) ∂(r²E)/∂r = (1/r²) ∂(r² ρ₀ r)/∂r = (1/r²) ρ₀ ∂(r³)/∂r = (1/r²) 3ρ₀ r² = 3ρ₀.
Therefore, for r < R, (∇⋅E) = 3ρ₀.
2. For r ≥ R:
The electric field outside the sphere is given by E(r) = ρ₀ (R/r)³ r.
∇⋅E = (1/r²) ∂(r²E)/∂r = (1/r²) ∂(r²ρ₀ (R/r)³ r)/∂r
Now, let's compute the derivative:
∂(r² ρ₀ (R/r)³ r)/∂r = ∂(ρ₀ R³ r)/∂r = 0.
Since the electric field E is spherically symmetric outside the sphere, its divergence (∇⋅E) is zero.
Therefore, for r ≥ R, (∇⋅E) = 0.
(b) To express the charge density ρ(r) in terms of the total charge Q = ∫dτρ(r) on the sphere, we integrate the charge density over the volume of the sphere.
For r < R:
ρ(r) = ρ₀
For r ≥ R: ρ(r) = 0
Since the charge density is uniform inside the sphere and zero outside, the total charge Q can be calculated as:
Q = ∫dτρ(r) = ∫ρ₀ dτ = ρ₀ ∫dτ
The integral represents the volume of the sphere, so we have:
Q = ρ₀ * V
where V is the volume of the sphere.
(c) As R → 0 while holding Q fixed, the volume V of the sphere also approaches zero. Therefore, the charge density ρ₀ must increase proportionally to keep the total charge Q fixed.
This behavior is related to the concept of the Dirac delta function δ³(r), which represents an infinitely concentrated charge at a point. As the radius becomes infinitesimally small, the charge becomes infinitely concentrated at the center of the sphere, corresponding to the limit of the Dirac delta function.
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The complete question is:
Gauss' Law can be used to derive the field of a uniformly charge sphere of radius R with charge density ρ 0. One finds that (we will do this next week): E(r)≡E(r) r^= E(r)≡E(r) r(cap)ρ₀\left \{ {{1 , r<R} \atop {(R/r)³ , r≥R }} \right. fo(a) (2 points) Check that the charge density ρ(r) is what you expect by computing ϵ₀(∇⋅E) everywhere (both for r<R and r≥R ). (b) (1 point) Express the charge density you obtain in part (a), ρ(r), in terms of the total charge Q=∫dτρ(r) on the sphere. (c) (2 points) What happens as R→0 if we hold Q fixed? Relate it to the definition of δ³ (r).
A researcher is investigating the effect of sleep deprivation on learning. She recruits 30 participants and randomly assigns half to a "no sleep" group and half to a "regular sleep" group. The "no sleep" group are required to stay up all night and report to a testing room at 2PM the following day. The "regular sleep" group are instructed to have a normal night's sleep and report to the testing room at 9AM the following day. Unfortunately, a water pipe broke outside the testing room window and there was noisy construction crew working the whole day of testing. Which of the following statements is true?
a. The study may be affected by a situational variable.
b. The construction noise may contribute to variability in test scores.
C. The study has a confounding variable. The groups differ in the time they are to report to the testing room.
d. All of these are true.
The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.
The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.
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Adrian will use part of garage wall as one of the long sides of a rectangular rabbit pen. He
wants the pen to be 3 times as long as it is wide. He plans to use 68 ft. of fencing. Find the
dimensions of the rabbit pen.
Based on the fact that Adrian will use 68 ft of fencing, the dimensions of the rectangular rabbit pen can be found to be 17 feet for the width and 51 feet for the length.
How to find the dimensions of the rabbit pen?The length of the rabbit pen is to be three (3) times as long as the width so we can assume that the width is x feet.
In that case, the formula to find the value of x which is the width is:
x + 3x = 68
4x = 68
x = 68/4
x = 68/4
x = 17 feet
The length of the rectangular rabbit pen is therefore:
= 3x
= 3 x 17
= 51 feet
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click on one answer only. if you're driving for long periods of time, night or day, how long and frequent should your breaks be? one hour every ten hours thirty minutes every five hours fifteen minutes every two hours five minutes every hour
When driving for long periods of time, it is recommended to take breaks of approximately fifteen minutes every two hours.
Taking regular breaks while driving is crucial for maintaining alertness and reducing fatigue. The suggested interval of fifteen minutes every two hours allows for rest, stretching, and refreshing oneself without significantly prolonging the journey.
It helps prevent driver fatigue, improves concentration, and enhances overall safety on the road. By adhering to this guideline, drivers can effectively manage their energy levels and minimize the risk of accidents caused by drowsiness or reduced attention.
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Solve the system of equations
y = 1/2x - 3
2y + 6 = x
A polynomial P has zeros when x=0, x=-1/6 and x=-3 Whats could be the equation p?
Answer:
P(x) = \(x^{3}\) + \(\frac{19}{6} x^{2}\) + \(\frac{1}{2} x\)
Step-by-step explanation:
x(x + 1/6)(x + 3) = P
x(\(x^{2}\) + 3x + 1/6(x) + 1/2) = P
x (\(x^{2}\) + 19/6(x) + 1/2) = P
\(x^{3}\) + \(\frac{19}{6} x^{2}\) + \(\frac{1}{2} x\) = P(x)
Polygons in the coordinate
In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.
How to know if it's a triangleFind the lengths of the three sides of the triangle using the distance formula.
Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.
If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.
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please help me w this my grade is dropping dramatically! help me with answers 1-5 please :(
a circle has a circumference of 16 feet. what is the radius of the circle, in feet? individual question 4 8 16 32
The correct answer is the radius of the circle is 2.54648 ft.
The circumference of a circle or ellipse in geometry is known as its perimeter. That is, if the circle was opened up and straightened out to a line segment, the circumference would be said the length of the arc.
The curve length around any closed figure is more commonly referred to as the perimeter.
We know that Circumference = \(2\pi r\) and \(\pi\) ≈ 3.14159,
Circumference = \(2\pi r\)
16 = \(2\pi r\) (after substituting)
16/2\(\pi\) = 2\(\pi\)r/2\(\pi\) (remove 2\(\pi\) by dividing both sides with the mentioned term)
r = 8/\(\pi\)
r = 8/\(\pi\) (ft.)
\(\pi\) ≈ 3.14159 (value of \(\pi\))
Hence, the radius of the circle when its circumference is 16 feet is r ≈ 2.54648 ft. which is the approximate value.
Checking our work:
Circumference = 2\(\pi r\)
Circumference = 2 (3.14159) (2.54648)
Circumference = 15.999
Circumference ≈ 16 ft.
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Solve x + 7.8 = 11.9 for x.
Answer:
4.1
Step-by-step explanation:
X+ 7.8 = 11.9
X= 11.9 - 7.8
X= 4.1
Answer:
x = 4.1
Step-by-step explanation:
To solve for x, subtract 7.8 from both sides of x + 7.8 = 11.9:
x + 7.8 - 7.8 = 11.9 - 7.8, or
x = 4.1
I need help fast plss
The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°
Finding the measures of the anglesFrom the question, we have the following parameters that can be used in our computation:
The transversal lines and the other lines
So, we have
∠1 = 180 - 53
Evaluate
∠1 = 127°
Also, we have
∠5 = 53°
By vertical angles, we have
∠2 = 53°
∠3 = 127°
Next, we have
∠4 = 127 - 90°
∠4 = 37°
Solving further, we have
∠6 = 90°
By corresponding angles, we have
∠7 = 37°
∠9 = 180 - 90 - 53°
∠9 = 37°
∠10 = 90 + 53°
∠10 = 143°
∠8 = 143°
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Select the two expressions that equivalent to 4 + w + 12w
A. 4+13w
B. 13w2 + 4
C. 2(2+6w)+w
D. 16 + 2w
W. 2(2+6w2)
Answer:
A and C :)
Have an amazing day!!
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On Friday night, 165 people saw the dinosaur exhibit at the natural history museum. This amount represents 22% of the people who visited the museum that night.
A total of ______ people visited the natural history museum Friday night.
36
133
750
1500
A total of 750 people visited the natural history museum on Friday night.
The total number of people who visited the natural history museum on Friday night can be calculated by dividing the number of people who saw the dinosaur exhibit (165) by the percentage of visitors who saw the exhibit (22%).
To do this, we can use the following formula:
Total number of visitors = Number of visitors who saw the exhibit ÷ Percentage of visitors who saw the exhibit
Substituting the given values, we get:
Total number of visitors = 165 ÷ 0.22 = 750
Therefore, a total of 750 people visited the natural history museum on Friday night.
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A woman walks 5 rounds along the border of a square field of area 49². Find the total distance she walks in m.
Answer:
140m
Step-by-step explanation:
perimeter of a square with area 49 is 7×4=28, 28 × 5 rounds = 140m
Classes: are the categories by which data are grouped.true or false
True. For simpler amount analysis and management, data can be grouped into classes that represent related categories.
Data can be grouped into groups in order to identify patterns, trends, and similarities that can then be utilised to influence decisions. As classes may be used to organise and make data easier to interpret, this can be very helpful when working with huge datasets. Classes can also be used to find outliers and abnormalities in data, which can improve results and offer more precise insights. With classes, data can be processed and analysed more quickly and correctly, enabling more effective decision-making.For simpler analysis and management, data can be grouped into classes that represent related categories. With the process of categorising, data can be divided into smaller, easier-to-manage chunks for easier analysis.
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Find the Unknown angles
Giving Brainliest
Answer:
p=130°
Step-by-step explanation:
3 angles make 360°
Answer:
130°
Step-by-step explanation:
360°-109°-121°=130°
why do you think students makes mistakes with phrases such as "10 less than a number
Answer:
10 < x
Step-by-step explanation:
ten (10) less than (<) a number (x)
Answer:
This is a often mistake when being asked to write an expression. The words "is less than" and "less than" have different meaning. The phrase, "is less than" means 6 < k. The phrase "less than" means 6 - k.
I'll make a example with your problem. (I am adding a "x" on it cause it's easier for me to interrupt. But means the same as yours.)
"10 less than a number x"
10 - x
"10 is less than a number x"
10 < x
Steven earns extra money babysitting. He charges $31.25 for 5 hours and
$50 for 8 hours.
Explain what the constant rate of change means in the context
In this expression, the Constant Rate of change will be $6.25
Given that Steven earns $31.25 for 5 hours and $50 for 8 hours. In this, we can say that there is a constant Rate of change which is charged for each hour Steven works.
Constant Rate of Change is when the Rate of an expression remains constant throughout system equations. In this case, we can find out the constant rate of change by:
Taking expression, Amount = C.R. * Hours, where C.R is Constant Rate 'x'
So, we get: Amount = x * Hours.
Comparing this expression to given conditions we get:
For Amount 31.25 and 5 Hours: 31.25 = 5x => x = 6.25
For Amount 50 and 8 Hours: 50 = 8x => x = 6.25
Here, the rate of change is constant in both cases which tells that Steven charges a Constant of $6.25 for a single hour.
Hence, the Constant Rate of change will be: $6.25
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Bethany walks at a rate of 3 step every 2 seconds at this rate how many seconds will it take Bethany to walk 60 steps
Answer:
30seconds
Step-by-step explanation:
if it takes 2 seconds to walk 3steps then in 30 seconds she should have walked 60 steps.
Help ASAP please... I will mark Smartest
Answer:
The above one
The formula should be the same. most likely