The formula for the edge length, a, of the simple cubic unit cell is given by a = 2r. This means that the edge length is twice the radius of the atom.
The simple cubic unit cell is the most basic type of crystal structure, and consists of atoms arranged in a cube shape with one atom at each corner.
The edge length of the cube is equal to the distance between adjacent atoms, which in this case is 2r (since the radius of each atom extends to the center of the adjacent atoms). Therefore, the formula for the edge length is a = 2r.
Hence, the edge length of the simple cubic unit cell can be calculated using the formula a = 2r, where r is the radius of the atom.
learn more about atom click here:
https://brainly.com/question/17545314
#SPJ11
What are some important things to keep in mind when working with negative numbers?
Answer:
Even though negative numbers get smaller as they get further from 0, their absolute value gets bigger, the sum of two negative numbers is a negative number, the product of two negative numbers is a positive number, etc.
Step-by-step explanation:
Explain the difference between the greenhouse effect and global warming MAKE IT NOT SMART LIKE NOT SMART WORDS
Answer:
Step-by-step explanation:
Global warming is the change in the climate of the earth causing it to heat up whereas the greenhouse effect is a naturally occurring phenomenon, constantly occurring due to the atmosphere and sunlight.
The Greenhouse effect is when the heat goes up into space, Greenhouse Gases, block the heat going into space, and it goes back to Earth. Global Warming is when the earth is overheated by Fossil fuels and Greenhouse gases causing the Greenhouse effect.
Global warming is the observation, and the atmospheric greenhouse effect is the explanation. The atmospheric greenhouse effect is a theory based on well-established physics that explains why the Earth has not been covered in ice for most of its history.
global warming and the greenhouse effect are not the same things. Global warming refers to a change in the Earth's climate that is causing it to heat up. The greenhouse effect, on the other hand, is a natural process that happens constantly, due to sunlight and the atmosphere.
Answer:
Step-by-step explanation:
The greenhouse effect occurs because the Earth's gasses trap the heat from the sun in our atmosphere. global warming is more than the greenhouse effect, many other things cause global warming INCLUDING the greenhouse effect. The greenhouse effect is trapping heat and global warming is when the global climate rises, partly due to the greenhouse effect.
help Imao ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
Answer: 1
Step-by-step explanation:
Last season, Erik made 21 of the 35 free throws he attempted. Suppose he attempts 50 free throws this season. What is the most reasonable prediction of the number of free throws he will miss? Show your work.
Answer:
3/250
Step-by-step explanation:
21/35 divided by 50 = 21/1750
Simplify this into 3/250
Grady's father is building a 15-meter fence with the start of the fence at coordinates 8,5. And the midpoint of the fence at coordinates 3. 5,-1. What are the coordinates of the other end of the fence?
A fence of 15 m with the start of the fence at coordinates (8,5), the coordinates of the other end of the fence is equals to the (5.75, 2).
Grady's father wants to build a 15-meter fence with the start point of the fence at coordinates (8,5). Midpoint of fence at coordinates (3.5,-1). We have to determine the coordinates of the other end of the fence. The midpoint is defined as the centre point of a line segment. It is at equal distance from both endpoints,
Let the cordinate of other side point be (x,y). Using the mid point formula, [tex](x,y) = (\frac{x_1 + x_2 }{2}, \frac{y_1 + y_2 {2}[/tex]), where
(x,y) --> coordinates of mid point(x₁, y₁) --> coordinates of first point (x₂,y₂)-->coordinates of second pointFor x-coordinate, 2x = 3.5 + 8
=> 2x = 11.5
=> x = 5.75
for y-coordinate, 2y = 5 - 1 = 4
=> y= 2
Hence, required value is (5.75, 2).
For more information about coordinates, visit:
https://brainly.com/question/31283709
#SPJ4
Find the exact value of sin(theta/2)
Please show steps thank you
answer: 0 divided by 2 is 0. the exact value of sin is sin(0) is 0
Victoria spins a spinner 500 times.
Answer:
P(sum is less than or equal to 3) =
P(1, 1) + P(1, 2) + P(2, 1) =
(1/5)(1/3) + (1/5)(1/3) + (1/5)(1/3) = 3/15 = 1/5
20% × 500 = 100
This event can be expected about 100 times.
2/3 (y + 57) = 178
(Answer with explanation)
Answer:
Step-by-step explanation:
[tex]\frac{2}{3}[/tex](y + 57) = 178
distribute [tex]\frac{2}{3}[/tex] into the parentheses
[tex]\frac{2}{3}[/tex]y + 38 = 178
-38 -38
[tex]\frac{2}{3}[/tex]y = 140
multiply both sides by the reciprocal of [tex]\frac{2}{3}[/tex] which is [tex]\frac{3}{2}[/tex]
( [tex]\frac{3}{2}[/tex] ) [tex]\frac{2}{3}[/tex]y = 140( [tex]\frac{3}{2}[/tex] )
[tex]\frac{2}{3}[/tex] is cancelled out with only y remaining on the left side
y = 210
Algebra GCSE -
D) Find r when P = 50cm
The radius of the given shape when P, perimeter, of the shape is 50 cm is 14 cm
Calculating the radius and Perimeter of a shapeFrom the question we are to determine the value of r when P is 50 cm.
P is the perimeter of the shape shown in the figure.
The figure is a quadrant.
The perimeter of the quadrant is given by
P = r + r + 1/2(πr)
Therefore,
P = 2r + 1/2(πr)
Now,
To determine the value of r when P is 50, we will substitute the value of P into the above equation
P = 2r + 1/2(πr)
Substitute P = 50
50 = 2r + 1/2(πr)
Solve for r
50 = 2r + 1/2(πr)
Multiply through by 2
100 = 4r + πr
100 = r(4 + π)
Take π = 3.14
100 = r(4 + 3.14)
100 = 7.14r
Divide both sides by 7.14
100/7.14 = r
r = 14.0056
r ≈ 14 cm
Hence, the value of r is 14 cm
Learn more on Calculating the radius and Perimeter here: https://brainly.com/question/20458620
#SPJ1
Convert the polar equation to rectangular form.
r^6=cos θ
The rectangular form of given polar equation r⁶=cos θ is x⁴ + y²x² = x³ + y³.
To convert the polar equation r⁶=cos θ to rectangular form, we need to use the relationships between polar and rectangular coordinates. Recall that:
r² = x² + y² (the Pythagorean theorem for polar coordinates)
cos θ = x/r
sin θ = y/r
Using these equations, we can rewrite the given polar equation as:
(r²)³ = (cos θ)³
(x² + y²)³ = (x/r)³
Simplifying this equation by multiplying both sides by r³, we get:
x³ + y³ = x²r³
Now, using the fact that r² = x² + y², we can substitute x² + y² for r² in the above equation, which gives:
x³ + y³ = x²(x² + y²)
Expanding the right-hand side of the equation and simplifying, we get:
x⁴ + y²x² = x³ + y³
This is the rectangular form of the given polar equation. Therefore, the rectangular form of r⁶=cos θ is x⁴ + y²x² = x³ + y³.
To learn more about rectangular form click on,
https://brainly.com/question/31442898
#SPJ1
Factor the following quadratic expression: x2−3x−10
The factored form of x² - 3x - 10 is (x-5)(x+2).
The given quadratic expression: x² - 3x - 10.
Step 1: Identify the terms in the expression
- Quadratic term: x²
- Linear term: -3x
- Constant term: -10
Step 2: Find two numbers that multiply to the constant term (-10) and add up to the linear term's coefficient (-3)
- Factors of -10: (-1, 10), (1, -10), (-2, 5), (2, -5)
- The pair (2, -5) adds up to -3
Step 3: Rewrite the expression using the factors found in Step 2
- x² - 3x - 10 = x² + 2x - 5x - 10
Step 4: Factor by grouping
- Group the terms: (x² + 2x) + (-5x - 10)
- Factor out the greatest common factor (GCF) from each group:
- x(x + 2) - 5(x + 2)
Step 5: Factor out the common binomial
- (x + 2)(x - 5)
To know more about factored form here:
https://brainly.com/question/29065045
#SPJ1
Tuition for one year at the community college Sean would like to attend is about $8,880. Sean plans to save money each month for the next 2 years to help pay for his first year. If his parents plan to
contribute $6,000 toward his first year, what is the minimum about Sean must save each month to have enough money to pay for his first year of tuition?
$120
$240
$60
$80
Answer:
$120
EXPLANATION
since the total cost is $8880
and his parents are giving $6000
so left money he need to save is $2880
now he has time of 2 years which means 24 months
so using unitary method
24 months = $2880
1 month= $2880/24
1 month = $116.66
which is nearly $120
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 210 vinyl gloves, 61% leaked viruses. Among 210 latex gloves, 8% leaked viruses. Using the accompanying display of the technology results, and using a 0.05 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves.
Generate two ordered pairs by substituting
zero for x and y. Then, find the rate of change.
-3x-6y=-3
The ordered pairs for the equation is ( 0 , 0.5 ) and ( 1 , 0 )
Given data ,
Let the equation be represented as A
Now , the value of A is
-3x - 6y = -3
To generate two ordered pairs by substituting zero for x and y, we can substitute x = 0 and y = 0 into the given equation -3x - 6y = -3 and solve for y.
For x = 0:
-3(0) - 6y = -3
0 - 6y = -3
-6y = -3
y = -3 / -6
y = 0.5
So the first ordered pair is (0, 0.5)
For y = 0:
-3x - 6(0) = -3
-3x - 0 = -3
-3x = -3
x = -3 / -3
x = 1
So the second ordered pair is (1, 0)
The rate of change is the change in y-coordinate divided by the change in x-coordinate.
In this case, as we move from the first ordered pair (0, 0.5) to the second ordered pair (1, 0), the change in y-coordinate is -0.5 and the change in x-coordinate is 1.
Therefore, the rate of change is -0.5 / 1 = -0.5.
Hence , the ordered pairs are ( 0 , 0.5 ) and ( 1 , 0 )
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
does applying gradient boosting linear regressor multiple times give the same result as linear regression
No, applying gradient boosting linear regressor multiple times does not necessarily give the same result as linear regression.
Gradient boosting is an iterative machine learning algorithm that involves combining multiple weak models, such as decision trees, to create a strong predictive model. In each iteration of the algorithm, a new model is trained to predict the errors of the previous models, and the final prediction is the sum of the predictions of all the models.
On the other hand, linear regression is a parametric method that involves fitting a linear equation to the data, where the coefficients of the equation are estimated using the least squares method. While gradient boosting linear regression and linear regression both aim to predict a target variable based on a set of input variables, they use different approaches and assumptions, and their results may not be the same.
In particular, gradient boosting can be more effective than linear regression when the relationship between the input variables and the target variable is nonlinear or when there are complex interactions between the input variables. However, linear regression can be more interpretable and easier to implement than gradient boosting in some cases.
To know more about linear regression,
https://brainly.com/question/29665935
#SPJ11
The length of a rectangle is 4 units less than its width w+10 which choice is the correct answer
If the length of a rectangle is 4 units less than its width w+10, the area of the rectangle is expressed in terms of w as w² + 6w.
Let's assume that the width of the rectangle is w. As given, the length of the rectangle is 4 units less than its width plus 10, which means the length is (w + 10) - 4 = w + 6.
So, the width of the rectangle is w units and the length is (w + 6) units.
The area of a rectangle is calculated by multiplying its length and width. Therefore, the area of the rectangle is:
Area = length x width
Area = (w + 6) x w
Area = w² + 6w
If we are given the value of w, we can find the area by substituting the value of w in the equation. If the value of w is not given, then the area of the rectangle cannot be calculated.
To learn more about rectangle click on,
https://brainly.com/question/3750711
#SPJ4
Complete question is:
The length of a rectangle is 4 units less than its width w+10. Find expression for area of rectangle.
Use technology to find points and then graph the function y=(x+1)^2-1.
An example of this answer shows a table with points but I dont understand how to make the table.
The graph B is the best choice as a result.
What is graph?Graph is a data structure used to represent a mathematical relationship between two or more objects. It is composed of nodes and edges, where nodes represent objects and edges represent the relationships between them. Graphs are used to solve various types of problems in computer science, such as finding the shortest path between two points, or determining whether a graph contains a cycle. Graphs can also be used to represent social networks, transportation networks, and many other types of networks.
The graph depicted in option B is the one that corresponds to the equation y = - 2x - 4.
The equation is expressed in slope-intercept form in the following way:
The angle is - 2
The intercept equals -4.
This indicates that the graph's slope is negative and that the trend line crosses the y axis at minus four.
Only the option B graph has a graph with a negative slope and an intercept of -4.
The graph B is the best choice as a result.
To know more about graph click-
http://brainly.com/question/19040584
#SPJ1
i need help with this ??
Answer:
AOC=
130 degrees
Step-by-step explanation:
(circle)3x + (square)94 + (circle)x + square)18 + (circle)2x (square)-4 = 180
circles = 3x + x + 2x = 6x
squares = 94 + 18 + (-4) = 108
6x + 108 = 180
- 108 -108
6x = 72
6x/6 = 72/6
x= 12
angle AOC =
3x + 94
3 times 12 + 94
36+94 = 130 degrees
For helted Pulley, the speed of the pulley very inversly as their radio. If a pulley with a radioof 4 inches turning at 1452 resolutions per minute is helted to a pulley with a radiousof 6 inches what will be the speed of a largee pulley?
k=
Equation=
Answer=
pls help meee
Answer:
Step-by-step explanation:
Answer: The speed of the larger pulley is 242 rpm.
Step-by-step explanation: We can use the fact that for a belt and pulley system, the linear velocity of the belt is constant. This means that the product of the radius and the angular velocity of each pulley must be the same.
Please answer quick
Sam has a pool deck that is shaped like a triangle with a base of 15 feet and a height of 9 feet. He plans to build a 2:5 scaled version of the deck next to his horse's water trough.
Part A: What are the dimensions of the new deck, in feet? Show every step of your work. (4 points)
Part B: What is the area of the original deck and the new deck, in square feet? Show every step of your work. (4 points)
Part C: Compare the ratio of the areas to the scale factor. Show every step of your work. (4 points)
Answer:To find the dimensions of the new deck, we need to scale the base and height of the original deck by a factor of 3:5.
The scaled base will be:
16 feet x (3/5) = 9.6 feet
The scaled height will be:
9 feet x (3/5) = 5.4 feet
Therefore, the dimensions of the new deck will be 9.6 feet for the base and 5.4 feet for the height.
Step-by-step explanation:
Answer:
Part A:
The ratio of the sides of the new deck to the original deck is 2:5. Therefore, the base and height of the new deck can be found by multiplying the base and height of the original deck by the scale factor, which is 2/5.
Base of new deck = 15 * (2/5) = 6 feet
Height of new deck = 9 * (2/5) = 3.6 feet
Therefore, the dimensions of the new deck are 6 feet for the base and 3.6 feet for the height.
Part B:
The area of a triangle can be found by multiplying the base and height and dividing by 2.
Area of original deck = (15 * 9) / 2 = 67.5 square feet
Area of new deck = (6 * 3.6) / 2 = 10.8 square feet
Therefore, the area of the original deck is 67.5 square feet and the area of the new deck is 10.8 square feet.
Part C:
The ratio of the areas of the new deck to the original deck is:
Area of new deck / Area of original deck = 10.8 / 67.5 = 0.16
The scale factor is 2:5, or 0.4 as a decimal. The ratio of the areas is smaller than the scale factor. This means that the new deck is smaller than what it would be if it were built to scale.
which of the following choices is the graph of f(x)=3x+4
The correct choice is a straight line with a positive slope that intersects the y-axis at (0, 4). This is because f(x) = 3x + 4 is a linear function with a slope of 3 and a y-intercept of 4. The graph of this function will be a straight line with a positive slope that crosses the y-axis at (0, 4).
What is graph?A graph is a visual representation of data or a function, usually in the form of a plot with one or more variables on the x and y axes. It is a way to show relationships between variables or patterns in data.
What is intercept?An intercept is a point at which a curve or line intersects an axis, usually the x-axis or y-axis. The x-intercept is where the line crosses the x-axis, and the y-intercept is where the line crosses the y-axis.
According to the given information:
Without a visual component, it is impossible to identify which of the following choices represents the graph of the linear function f(x) = 3x + 4:
a) a straight line with a negative slope that intersects the y-axis at (0, -4)
b) a straight line with a positive slope that intersects the y-axis at (0, 4)
c) a curved line that increases as x increases and passes through the point (0, 4)
However, we know that the graph of f(x) = 3x + 4 is a straight line with a slope of 3 and a y-intercept of 4. So, the correct choice would be b) a straight line with a positive slope that intersects the y-axis at (0, 4). This graph would show the function increasing at a steady rate of 3 units for every 1 unit of horizontal change, with the y-intercept at the point (0, 4).
To know more about intercept and graph visit:
https://brainly.com/question/12493675?referrer=searchResults
#SPJ1
Solve for x. Set up the proportion
The value of x for the given attached triangle satisfies the proportion of similar triangles is equal to 10.
From the attached figure,
In triangle ΔNMO and ΔTUV we have,
NM = 7,
MO = 9
TU = 3x - 9,
UV = 27
The corresponding sides of similar triangles are proportional,
Set up the proportion we get,
ΔNMO ~ ΔTUV
⇒ NM/TU = MO/UV
Substituting the given values, we get,
⇒ 7/(3x - 9) = 9/27
Simplifying, we get,
⇒ 7/(3x - 9) = 1/3
Cross-multiplying, we get,
⇒ 21 = 3x -9
Adding 9 to both sides, we get,
⇒ 3x = 30
Dividing both sides by 3, we get,
⇒ x = 30/3
⇒ x = 10
Therefore, the value of x that satisfies the proportion is x = 10.
learn more about proportion here
brainly.com/question/29009887
#SPJ4
The above question is incomplete, the complete question is:
Solve for x. Set up the proportion.
In triangle ΔNMO ~ ΔTUV.
NM = 7, MO = 9
TU = 3x - 9, UV = 27
Attached figure.
What is the equation of the blue line ☹️☹️
Answer:
y = 1/2x + 2
Step-by-step explanation:
The equation is y = mx + b
m = the slope
b = y-intercept
Slope = rise/run or (y2 - y1) / (x2 - x1)
Pick 2 points (0,2) (2,3)
We see the y increase by 1 and the x increase by 2, so the slope is
m = 1/2
Y-intercept is located at (0,2)
So, the equation of the line is y = 1/2x + 2
please help. 30 points
Answer:
ddd
Step-by-step explanation:
Triangle UVW is drawn with vertices at U(−1, 1), V(0, −4), W(−4, −1). Determine the coordinates of the vertices for the image, triangle U′V′W′, if the preimage is rotated 90° counterclockwise
The coordinates of the vertices for the image, triangle U′V′W′, if the preimage is rotated 90° counterclockwise include the following:
U' = (1, 1).
V' = (-4, 0).
W' = (-1, 4).
What is a rotation?In Mathematics and Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).
By applying a rotation of 90° counterclockwise to the vertices of triangle UVW, the coordinates of the vertices of the image are as follows:
(x, y) → (-y, x)
Ordered pair U = (-1, 1) → Ordered pair U' = (1, -(-1)) = (1, 1).
Ordered pair V = (0, -4) → Ordered pair V' = (-4, -(0)) = (-4, 0).
Ordered pair W = (-4, -1) → Ordered pair W' = (-1, -(-4)) = (-1, 4).
Read more on rotation here: brainly.com/question/28854313
#SPJ1
Factor.
f(x) = 2x² – 9x – 18
(2x + [?])(x-[])
The factored form of the equation f(x) = 2x² – 9x – 18 is (2x-3)(x+6)
The given equation is 2x² – 9x – 18
We have to factor out the expression
Let us take a=2, b=-9 and c =-18
To factor the equation, we need to find two numbers that add to -9 (which is the b variable in the equation) and multiply to -36
2x²+12x-3x – 18
2x(x+6)-3(x+6)
(2x-3)(x+6)
Hence, the factored form of the equation f(x) = 2x² – 9x – 18 is (2x-3)(x+6)
To learn more on Quadratic equation click:
https://brainly.com/question/17177510
#SPJ1
karas teacher divides her class of 20 students into equally sized teams: the red,the yellow team, the green team, and blue team. she assigns each student to a team. what is the probability that kara is on red team
Answer:
Step-by-step explanation:
Since there are 4 equally sized teams and Kara is only assigned to one of them, the probability of Kara being assigned to the red team is:
Probability of Kara being on red team = Number of ways Kara can be on red team / Total number of possible outcomes
Number of ways Kara can be on red team = 20/4 = 5 (since each team has 5 students)
Total number of possible outcomes = Total number of ways of dividing 20 students into 4 teams
To find the total number of ways of dividing 20 students into 4 teams, we can use the formula for combinations:
Total number of possible outcomes = C(20,5) x C(15,5) x C(10,5) x C(5,5)
where C(n,r) represents the number of ways to choose r items from a set of n items.
Simplifying the expression:
Total number of possible outcomes = (20! / (5!15!)) x (15! / (5!10!)) x (10! / (5!5!)) x (5! / (5!0!))
Total number of possible outcomes = 15,504,000
Therefore, the probability of Kara being on the red team is:
Probability of Kara being on red team = Number of ways Kara can be on red team / Total number of possible outcomes
Probability of Kara being on red team = 5 / 15,504,000
Probability of Kara being on red team = 0.0000323 (rounded to 7 decimal places)
So the probability of Kara being assigned to the red team is approximately 0.0000323 or 0.00323%.
Find the value of x…..
Answer:
x = 7
Step-by-step explanation:
Intersecting secants theorem:When two secants intersect outside the circle, the product of their segments are equal.
(3x + 15) * 15 = (x+20) * 20
3x * 15 + 15*15 = x*20 + 20*20 {Distributive property}
45x + 225 = 20x + 400
Subtract 225 from both sides,
45x = 20x + 400 - 225
45x = 20x + 175
Subtract 20x from both sides,
45x - 20x = 175
25x = 175
Divide both sides by 25,
x = 175 ÷ 25
[tex]\boxed{x=7}[/tex]
what is the percent error from 23 to 48
Answer:
12
Step-by-step explanation:
12-5
Fran walks backward to a distance that will allow her family to all show up in the photo she is about to take
The photo taken from point B is twice the size of the photo taken from point A.
In this scenario, Fran is likely adjusting her distance from her family to fit everyone in the photo, which means she is changing the scale of the image. To find the center of dilation and the scale factor, we can consider the initial distance between Fran and her family and the new distance she moves back to.
The center of dilation is the point where Fran stands to take the photo, and the scale factor is the ratio of the new distance to the initial distance. If we assume Fran initially stood at point A and moved back to point B, the scale factor would be:
scale factor = AB/AD
where AD is the initial distance between Fran and her family and AB is the new distance after she moves back.
For example, if Fran initially stood 5 feet away from her family and moved back to 10 feet away to fit everyone in the photo, the scale factor would be:
scale factor = AB/AD = 10/5 = 2
To learn more about scale factor click on,
https://brainly.com/question/1586201
#SPJ4
Complete question is:
For each real-world context or circumstance, determine the center of the dilation and an approximate scale factor or way to determine the scale factor.
Fran walks backward to a distance that will allow her family to all show up in the photo she is about to take.
