Answer:
2×2×2×2×5
or 2, 2, 2, 2, 5
Answer:
2 2 2 2 5
Step-by-step explanation:
80/2 = 40
40/2 = 20
20/2 = 10
10/2 = 5
I hope this helps!
All rhombuses have 4 right angles
Answer:
no they do not :) :) :)
dentify whether the functions below are exponential growth or decay, then determine the rate of growth or decay as a percent.
Answer:
3. y = 0.5(1.075)ˣ
1. y = 200(1.8)ˣ
2. y = 10(0.95)ˣ
Explanation:
The exponential function has the following form
y = a(1 + r)ˣ
Where r is the rate of growth or decay.
If r is positive, it is a rate of growth
If r is negative, it is a rate of decay
For each option, we can write the equation as
y = 0.5(1.075)ˣ
y = 0.5(1 + 0.075)ˣ
Since 0.075 = 7.5% and it is positive, this equation have a rate of growth equal 7.5%
y = 200(1.8)ˣ
y = 200(1 + 0.8)ˣ
Since 0.8 = 80% and it is positive, this equation have a rate of growth equal to 80%
y = 10(0.95)ˣ
y = 10(1 - 0.05)ˣ
Since -0.05 = -5% and it is negative, this equation have a rate of decay equal to 5%
Therefore, the answers are:
3. y = 0.5(1.075)ˣ
1. y = 200(1.8)ˣ
2. y = 10(0.95)ˣ
In the figure, a long straight wire carries a current i 1
=30A
and a rectangular loop carries current i 2
=20A. Take the dimensions to be a=1cm,b=8cm and L=30cm. In unit-vector notation, what is the net force on the loop due to i 1
?
In a unit vector notation, the net force on the loop is (3.2×10⁻³ N)
Vector:
In math vector is the object containing both magnitude and direction
Given,
In the figure, a long straight wire carries a current i1=30A and a rectangular loop carries current i2=20A. Take the dimensions to be a=1 cm, b = 8cm and L = 30cm.
Here we need to find the unit-vector notation for the net force on the loop due to i1.
Here let's divide the loop into 4 parts i.e, they are witten as,
=> 1−2 , 2−3 , 3−4 , and 4−1
Then the force F on a wire of length L carrying current I in magnetic field of strength B (constant) is written as,
=> F=L(I×B)
Now, the force on part 2−3 and 4−1 is equal but opposite , hence cancelled, so the remaining are
⟹F2−3+F4−1=0
Therefore, Fnet=F1−2+F3−4
Then the value of the net force is
=> (3.2×10⁻³ N)
To know more about Vector here.
https://brainly.com/question/13322477
#SPJ4
the average number of dropout for a school dsitrict has been 305 per year with a standard eveiation of 50. what is the probility that the number of dropouts next year will be: g
The probability that the number of dropouts next year will be exactly 305 is virtually zero, the probability of less than 305 is 68%, greater than 305 is 32%, and within one standard deviation of 305 is 95%.
Probability of dropouts next year being exactly 305: 0
Probability of dropouts next year being less than 305: 0.68
Probability of dropouts next year being greater than 305: 0.32
Probability of dropouts next year being within one standard deviation of 305: 0.95
The probability that the number of dropouts next year will be exactly 305 is virtually zero. This is because the standard deviation of 50 suggests that the number of dropouts is likely to be different from 305.
The probability that the number of dropouts next year will be less than 305 can be calculated using the normal distribution. The probability that the number of dropouts will be less than 305 is approximately 0.68, or 68%.The probability that the number of dropouts next year will be greater than 305 can be calculated using the normal distribution. The probability that the number of dropouts will be greater than 305 is approximately 0.32, or 32%.The probability that the number of dropouts next year will be within one standard deviation of 305 (i.e. between 255 and 355) can be calculated using the normal distribution. The probability that the number of dropouts will be within one standard deviation of 305 is approximately 0.95, or 95%.
Learn more about probability here
https://brainly.com/question/11234923
#SPJ4
What is a radian?
A) an angle measure with an arc length equal to one radius length
B) an angle measure with an arc length equal to one diameter length
C) an arc length that is the length of one diameter
D) a radius that is 3.14 inches long
Answer:
The answer is A
Step-by-step explanation:
An angle measure with an arc length equal to one radius length.
Given,
Radian.
Here,
Radian : An angle measure with an arc length equal to one radius length.
Radian is a measure of angle .
Degree measurements can be converted into radians.
For example,
30° = 30° × π/180°
30° = π/6
Thus radians can be converted into degrees by vice versa .
Know more about radians,
https://brainly.com/question/30398954
#SPJ2
A B C or D
wich will it be?
The result of subtracting 7x - 9 from 2x² - 11 is 2x² - 7x - 2.
To subtract the expression 7x - 9 from 2x² - 11, we need to distribute the negative sign to every term within the expression 7x - 9, and then combine like terms.
First, let's distribute the negative sign:
2x² - 11 - (7x - 9)
Now, distribute the negative sign to each term within the parentheses:
2x² - 11 - 7x + 9
Next, let's combine like terms:
2x² - 7x - 2
Therefore, the result of subtracting 7x - 9 from 2x² - 11 is 2x² - 7x - 2.
In this expression, the highest power of x is 2, which means it is a quadratic expression. The coefficient of x² is 2, and the coefficient of x is -7. The constant term is -2.
This quadratic expression can be further simplified or factored if needed, but the subtraction process is complete with the result 2x² - 7x - 2.
To learn more about subtraction;
https://brainly.com/question/2346316
#SPJ1
Please help me I can't figure this out
Answer:
factors: 3 and x+2product: 3x+6Step-by-step explanation:
You want the factors that would create the array of tiles shown.
ColumnEach column consists of a rectangle and two squares. If we assume a rectangle represents "x" and a square represents "1", then each column is a representation of x + 1 + 1 = x +2.
RowEach row is three repetitions of the tile in the first column. This means the factor being represented here is 3.
Factors and productThe two factors that are multiplied to give this array of tiles are ...
3 and x+2
Their product is ...
3x +6
__
Additional comment
We suspect that it might be informative to make use of the "View Example" button on the screen shown. It likely would show you the meaning of the symbols, and how rows and columns relate to factors. (Here, we have to guess.)
<95141404393>
Need help quick please! Find the surface area. Hint you will need to use Pythagorean theorem
Answer:
80
Step-by-step explanation:
solve the given initial-value problem. x(x + 1) dy dx + xy = 1, y(e) = 1
The solution to the initial-value problem x(x + 1) dy/dx + xy = 1, y(e) = 1 is y = ln(x + 1) / x.
To solve the given initial-value problem, we can use the method of integrating factors. Rearranging the equation, we have dy/dx + (xy / (x(x + 1))) = 1 / (x(x + 1)).
The integrating factor is given by μ(x) = exp ∫ (xy / (x(x + 1))) dx. Simplifying the integral, we have μ(x) = exp ∫ (1 / (x + 1)) dx = exp(ln(x + 1)) = x + 1.
Multiplying the entire equation by the integrating factor, we obtain (x + 1)dy/dx + xy = (x + 1) / (x(x + 1)).
The left side of the equation can be written as d((x + 1)y)/dx. Integrating both sides with respect to x, we have ∫ d((x + 1)y)/dx dx = ∫ (x + 1) / (x(x + 1)) dx.
Simplifying the right side of the equation, we get ∫ dx / x = ln|x| + C.
Dividing both sides by (x + 1), we have (x + 1)y = ln|x| + C.
Finally, solving for y, we find y = (ln|x| + C) / (x + 1). Using the initial condition y(e) = 1, we can substitute x = e and solve for C to obtain the specific solution y = ln(x + 1) / x.
Learn more about initial-value here:
https://brainly.com/question/17613893
#SPJ11
How is it 840g plsss help!
Step-by-step explanation:
Let's say first piece is x. First and third ratio is 1:4 so it would be
4x - x = 360
3x = 360
x = 120 Third piece is 120g. Now we just multiply the rest.
2 × 120 = 240g
4 × 120 = 480g, total 840g
Answer:
840 g
Step-by-step explanation:
Ratio:Ratio of weight of 3 pieces = 1 : 2 : 4
Weight of 3 pieces = x , 2x , 4x
Weight of third piece - weight of first piece = 360 g
4x - x = 360
3x = 360
Divide both sides by 3,
x = 360÷ 3
x = 120 g
Weight of first piece = x = 120 g
Weight of second piece = 2x = 2*120 = 240g
Weight of third piece = 4x = 4 *120 = 480 g
Weight of the whole cake = 120 + 240 + 480
= 840 g
4. Give the equivalent fraction of 0.2333... *
07/30
23/30
O 23/9
O 7/9
In a lab experiment, 830 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 28 hours. How many bacteria would there be after 13 years, to the nearest whole number?
Answer:
1145
Step-by-step explanation:
830(2) 28/13
^ do that ok??????? plug it in!!!!!!!!
then do u know what u will get? u will get this !!!!!! y = 1145.09631989
round 2 da whole numba and den boom shakalaka B ) i got my question wrong so that i could put the right answer here. bye yall
The number of bacteria doubling every 28 hours will be 1145 after 13 hours.
What is the formula for exponential growth and exponential decaying function?The formula for exponential growth is y = y₀.e^(kt).
The formula for exponential decay is y = y₀.e^(-kt).
In the case of doubling the growth of bacteria, we can use the formula,
\(y_f = y_0\times2^{\frac{t_r}{t}\), where \(y_f\) represents the final population, \(y_0\) is the initial population, \(t_r\) is the time we are required to determine, and \(t\) represents the time rate growth.
Therefore from the given information, the number of bacteria after 13 hours will be,
\(y_f = 830\times2^{\frac{13}{28}\).
\(y_f = 830\times1.38\).
\(y_f = 1144.86\) or 1145 bacterias.
Q. In a lab experiment, 830 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 28 hours. How many bacteria would there be after 13 hours, to the nearest whole number?
learn more about bacteria growth problems here :
https://brainly.com/question/14106525
#SPJ2
Kevin is choosing between two cell phone plans that offer the same amount of free minutes. AT&T’s plan charges $19.99 per month with additional minutes costing $0.35. Verizon’s plan costs $34.99 with additional minutes at $0.30. How many additional minutes, a, will it take for the two plans to cost the same? *
Answer:
300 minutesStep-by-step explanation:
Step one:
Given data
AT&T’s plan
monthly charge= $19.99
additional charge per minute= $0.35
let the number of minutes be x
let the total charges be
y=0.35x+19.99----------1
Verizon’s plan
monthly charge= $34.99
additional charge per minute= $0.3
let the number of minutes be x
let the total charges be
y=0.3x+34.99----------2
Step two:
equating the two equations above we have
0.35x+19.99=0.3x+34.99
collect like terms
0.35x-0.3x=34.99-19.99
0.05x=15
divide both sides by 0.05
x=15/0.05
x=300
For the two plans to cost the same, it will take 300 minutes
Answer:
300 Minutes
Step-by-step explanation:
URGENT - Will also give brainliest to simple answer
Find the length of the arc that outlines the sector
Answer:
arc length ≈ 37.7
Step-by-step explanation:
the arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × \(\frac{135}{360}\) ( r is the radius )
= 2π × 16 × \(\frac{3}{8}\)
= 32π × \(\frac{3}{8}\)
= 4π × 3
= 12π
≈ 37.7 ( to the nearest tenth )
Keith is the leading goal scorer for a team in an ice hockey league. Last season, he scored 42 goals in 82 games. Assuming he scores goals at a constant rate, what is the slope of the line that represents this relationship if the number of games is along the x axis and the number of goals is along the y axis
Answer:
42/82 = 21/41 = slope
Step-by-step explanation:
He scored 42 goals in 82 games, so the rate at which he scores is 21/41
Now in each game, he scores goals at this rate, so for 1 game he scores
21/41, for 2 games i.e x=2, number of goals y = (21/41)(2) and so on
so the slope is 21/41
Answer:
m = slope = 0.51
Step-by-step explanation:
Slope = (Change in y-coordinate) / (Change in x-coordinate)
Use these 2 points on the line to find the slope: (0, 0) and (82, 42)
Δy = 42 - 0 = 42.
Δx = 82 - 0 = 82.
Slope = Δy / Δx = 42 / 82 ≈ 0.5122
you order a cell phone case and 2 screen protectors online for a total of $18.95. your friend orders 2 cell phone cases and 5 screen protectors at the same unit prices for a total of $41.40. what is the cost of each cell phone case? each screen protector?
Answer:
Step-by-step explanation:
The cost of each cell phone case is $7.15, and the cost of each screen protector is $2.25.
To solve this problem, we can create a system of equations.
Let x represent the cost of one cell phone case and y represent the cost of one screen protector.
Then, we can write the following equations:
1x + 2y = 18.95 (equation 1)
2x + 5y = 41.40 (equation 2)
We can solve for x and y by multiplying equation 1 by 2 and subtracting it from equation
2.2x + 5y = 41.40(2 x 1x + 2 x 2y = 2 x 18.95)2x + 5y = 41.4002x + 4y = 37.90
Subtracting equation 1 from equation 2 gives us:
2x + 5y = 41.400- (0.2x + 0.4y = 3.790)
1.8x + 4.6y = 37.61
Now we can solve for y.
1.8x + 4.6y = 37.61
=> 46y = 46.29
=> y = 1.05
Then we can solve for x using equation
1.1x + 2y = 18.95
=> 1x + 2(1.05) = 18.95
=> x = 7.15
For similar question on cost
https://brainly.com/question/29509552
#SPJ11
Question:
You order a cell phone case and 2 screen protectors online for a total of $18.95. Your friend orders 2 cell phone cases and 5 screen protectors at the same unit prices for a total of $41.40. What is the cost of each cell phone case? Each screen protector?
T/F: An altitude of a triangle is a line segment through a vertex and perpendicular to (i.e. forming a right angle with) a line containing the opposite side of the triangle.
It is true that an altitude of a triangle is a line segment drawn from a vertex of the triangle perpendicular to the opposite side (or to the line containing the opposite side).
It forms a right angle with the line containing the opposite side. This altitude splits the triangle into two smaller triangles, and it can also be used to find the area of the triangle. The altitude of a triangle is useful in geometry because it can be used to find the area of the triangle. The area of a triangle can be calculated as half the product of the base (the side to which the altitude is drawn) and the length of the altitude. By drawing an altitude from each vertex of the triangle and calculating the area of each smaller triangle, we can find the total area of the larger triangle. Altitudes also have other important properties in geometry, such as being concurrent at a single point called the orthocenter of the triangle, and being related to the sides of the triangle through the Pythagorean theorem.
To know more about triangle,
https://brainly.com/question/28600396
#SPJ11
Write down the fixed monthly electricity cost for the prepaid system
Answer :
A prepaid electricity meter is a Kw/hr (Kilowatt Hour) meter, measuring electrical consumption. The main difference is that this Kw/hr meter counts backwards as the electricity is consumed and has a a relay (an automatic switch) which disconnects the power when the Kw/hr reading on the meter reaches zero.
A multiple-choice test has 5 questions each with 5 possible answers, the probability of guessing all the questions correctly is
In a multiple-choice test that has 5 questions, each with 5 possible answers, the probability of guessing all the questions correctly can be found using the formula:p = (1/5) × (1/5) × (1/5) × (1/5) × (1/5) = 1/3125.
The probability of guessing one question correctly is 1/5 since there are five possible answers. Since there are five questions, we multiply the probability by itself five times.
Therefore, the probability of guessing all the questions correctly is 1/3125, which is approximately 0.00032. This means that the chance of guessing all the questions correctly by random chance is very low.
This indicates that one should have studied for the test rather than relying solely on guesswork.
To learn more about probability, visit
brainly.com/question/13604758
#SPJ11
Optimal soda can a. Classical problem Find the radius and height of a cylindrical soda can with a volume of 354 cm that minimize the surface area b. Real problem Compare your answer in part (a) to a real soda can, which has a volume of 354 cm", a radius of 3.1 cm, and a height of 12.0 cm, to conclude that real soda cans do not seem to have an optimal design. Then use the fact that real soda cans have a double thickness in their top and bottom surfaces to find the radius and height that minimizes the surface area of a real can (the surface areas of the top and bottom are now twice their values in part (a)). Are these dimensions closer to the dimensions of a real soda can?
The radius and height of a real soda can with a double thickness in the top and bottom surfaces that minimize its surface area are approximately 2.89 cm and 13.15 cm, respectively. These dimensions are closer to the dimensions of a real soda can compared to the dimensions obtained in part (a).
a. To minimize the surface area of a cylindrical soda can, we need to find the values of radius and height that minimize the surface area equation.
Let's denote the radius of the can as r and the height as h. The volume of the can is given as 354 cm^3, so we have:
πr^2h = 354
Solving for h, we get:
h = 354 / (π\(r^2\))
The surface area of the can can be calculated as follows:
A = 2πr^2 + 2πrh
Substituting the expression for h in terms of r, we get:
A = 2πr^2 + 2πr(354 / πr^2)
Simplifying:
A = 2πr^2 + 708 / r
To minimize the surface area, we need to find the value of r that makes the derivative of A with respect to r equal to zero:
dA/dr = 4πr - 708 / r^2
Setting dA/dr = 0, we get:
4πr = 708 / r^2
Multiplying both sides by r^2, we get:
4πr^3 = 708
Solving for r, we get:
r = (708 / 4π)^(1/3) ≈ 3.64 cm
Substituting this value of r back into the expression for h, we get:
h = 354 / (π(3.64)^2) ≈ 9.29 cm
Therefore, the radius and height of the cylindrical soda can with minimum surface area and volume of 354 cm^3 are approximately 3.64 cm and 9.29 cm, respectively.
b. Real soda cans do not seem to have an optimal design because their dimensions are not the same as the ones obtained in part (a). The radius of a real soda can is 3.1 cm and the height is 12.0 cm. However, real soda cans have a double thickness in their top and bottom surfaces, which means that their dimensions are not directly comparable to the dimensions of the cylindrical can we calculated in part (a).
To find the dimensions of a real soda can with a double thickness in the top and bottom surfaces that minimize its surface area, we can use the same approach as in part (a), but with the appropriate modification to the surface area equation:
A = 4πr^2 + 708 / r
Setting dA/dr = 0, we get:
8πr^3 = 708
Solving for r, we get:
r = (708 / 8π)^(1/3) ≈ 2.89 cm
Substituting this value of r back into the expression for h, we get:
h = 354 / (π(2.89)^2) ≈ 13.15 cm
Therefore, the radius and height of a real soda can with a double thickness in the top and bottom surfaces that minimize its surface area are approximately 2.89 cm and 13.15 cm, respectively. These dimensions are closer to the dimensions of a real soda can compared to the dimensions obtained in part (a).
To learn more about surface area visit: https://brainly.com/question/29298005
#SPJ11
PLEASE ANSWER ASAP FOR BRAINLIEST
Answer:
Both are false.Step-by-step explanation:
This is because when you dilate a triangle it gets larger and expands. This means that it changes its position.
The edges of the triangle will get larger so the perimeter will not stay the same but it will change. But, the new perimeter is going to be rationonal to the original one.
calculate the number of waffles produced if you start with 15 eggs, assuming you have enough of all other ingredients? given: 4 cups flour 6 eggs 2 tbsp oil 8 waffles
The number of waffles can be made from 15 eggs are, 20 waffles.
the waffles can be calculates as follows
4 cups of fluor + 6 eggs +2 tbsp oil = 8 waffles
we need 6 eggs to make 8 waffles
So, the waffles can we make from 15 eggs = \(\frac{8}{6} X 15 = 20\) waffles
Hence, the number of waffles can be made from 15 eggs are 20 waffles.
Learn more about this equation at
https://brainly.com/question/14275434
#SPJ1
Find the absolute error of the measurement. Then explain its meaning.
2.759 cm
The exact measurement could be between 2.7585 and 2.7595 cm.
The absolute error of a measurement is equal to one half the unit of measure. Absolute error is a measure of the difference between the actual value and the estimated or predicted value of a quantity. It is calculated by taking the absolute value of the difference between the actual value (often denoted as A) and the estimated or predicted value (often denoted as P).
Mathematically, the absolute error (AE) can be expressed as:
AE = |A - P|
The measurement is given to the nearest 0.001 cm.
So, the absolute error of the measurement is
\(${\frac{1}{2}}{\big(}0.001{\big)}=0.0005{\mathrm{~cm}}$\)
The exact measurement could be 2.759 ± 0.0005 or
between 2.7585 cm and 2.7595 cm.
0.0005 cm; The exact measurement could be between 2.7585 and 2.7595 cm.
Know more about absolute error
https://brainly.com/question/12997059
#SPJ11
triangle \triangle a'b'c'△a ′ b ′ c ′ triangle, a, prime, b, prime, c, prime is the result of translating \triangle abc△abctriangle, a, b, c by 666 units to the right and 222 units down. a coordinate plane. the x- and y-axes both scale by one. triangle a b c has point a at negative two, three. point b is at three, one. point c is at one, negative three. a coordinate plane. the x- and y-axes both scale by one. triangle a b c has point a at negative two, three. point b is at three, one. point c is at one, negative three. select all of the correct statements about the unchanged properties of \triangle abc△abctriangle, a, b, c and \triangle a'b'c'△a ′ b ′ c ′ triangle, a, prime, b, prime, c, prime.
The new triangle A'B'C' is formed by translating triangle ABC 666 units to the right and 222 units down. The new coordinates for the points are A' (664, -219), B' (669, -221), and C' (667, -225).
Based on the information provided, we have a triangle ABC with point A at (-2, 3), point B at (3, 1), and point C at (1, -3). We are asked to translate this triangle to create a new triangle A'B'C' by moving it 666 units to the right and 222 units down.
To translate a figure on a coordinate plane, we add or subtract the same value to each coordinate. In this case, we will add 666 to the x-coordinate and subtract 222 from the y-coordinate.
For point A:
Original x-coordinate: -2
Translated x-coordinate: -2 + 666 = 664
Original y-coordinate: 3
Translated y-coordinate: 3 - 222 = -219
So, the new coordinates for point A' are (664, -219).
Similarly, we can find the new coordinates for points B' and C' by applying the same translation.
For point B:
Original x-coordinate: 3
Translated x-coordinate: 3 + 666 = 669
Original y-coordinate: 1
Translated y-coordinate: 1 - 222 = -221
So, the new coordinates for point B' are (669, -221).
For point C:
Original x-coordinate: 1
Translated x-coordinate: 1 + 666 = 667
Original y-coordinate: -3
Translated y-coordinate: -3 - 222 = -225
So, the new coordinates for point C' are (667, -225).
In summary, the new triangle A'B'C' is formed by translating triangle ABC 666 units to the right and 222 units down. The new coordinates for the points are A' (664, -219), B' (669, -221), and C' (667, -225).
Please note that the properties of the triangle (such as side lengths, angles, and orientation) remain unchanged during translation.
To know more about triangle refer here:
https://brainly.com/question/28385852
#SPJ11
The translation of triangle abc to triangle a'b'c' retains the original triangle's side lengths, angles, and orientation. The new points for triangle a'b'c' can be found by adding 6 to the x-values and subtracting 2 from the y-values of triangle abc's points, resulting in A'(4,1), B'(9,-1) and C'(7,-5).
Explanation:
In a translation, the distance and orientation between points within the shape are conserved. So, the properties that remain unchanged in the translation of △abc to △a'b'c' are the side lengths, the angles, and the orientation.
To find the coordinates of the translated triangle △a'b'c', add 6 to the x-values and subtract 2 from the y-values of each point in △abc.So, the new points are A'(-2+6, 3-2), B'(3+6, 1-2), and C'(1+6, -3-2), which simplifies to A'(4,1), B'(9,-1), and C'(7,-5).
Learn more about Triangle Translation here:
https://brainly.com/question/32867395
#SPJ12
2 and 2 over 5 plus 3 and 1 over 10
Answer:
2, 2/5 + 3, 1/10
2/5 + 3 = 3 2/5
Step-by-step explanation:
prove that each statement is true and find a counterexample for each statement that is false. assume all sets are subsets of universal set u
The given statement (A-B) ∩ (C-B) = A - (B ∪ C) is False , and the counter example is given below .
In the question ,
it is given that ,
(A-B) ∩ (C-B) = A - (B ∪ C) ,
we use Boolean algebra to prove it ,
Solving LHS first ,
= (A-B) ∩ (C-B)
= A ∩ B' ∩ C ∩ B' .....because (A - B) = A ∩ B'
= A ∩ B' ∩ C ..... because B' ∩ B' = B'
Solving RHS ,
we get ,
= A - (B ∪ C)
= A ∩ (B ∪ C)' ....because (A - B) = A ∩ B' ,
= A ∩ (B' ∩ C') .....by DE Morgan's Law
= A ∩ B' ∩ C'
we see that , LHS ≠ RHS ,
So , the statement is False .
The counter Example is ,
Let A = { 1, 2, 3} , B = { 1, 2, 4} , C = { 2, 4, 5}
LHS is = (A - B) ∩ (C - B)
Putting the values,
LHS = { 3 } ∩ { 5 } = ∅
and RHS = A - (B υ C)
Putting the values,
RHS = { 1, 2, 3} - { 1, 2, 4, 5}
= { 3 }
So , LHS ≠ RHS
Therefore , we have proved that the given statement is false using a counter example .
The given question is incomplete , the complete question is
Prove that each statement is true and find a counterexample for each statement that is false. assume all sets are subsets of universal set u .
For all sets A,B,C,
(A-B) ∩ (C-B) = A - (B ∪ C)
Learn more about Sets here
https://brainly.com/question/12969821
#SPJ4
PLEASE HELP. Write the equation in point-slope form of the line that passes through the given point
and has the given slope.
(4,-7); m = -1/4
a. y +7 = -1/4(x - 4)
b. y + 4 = -1/4(x-7)
c. y - 4 = -1/4(x + 7)
d. y - 7 = -1/4(x - 4)
Answer:
A) \(y+7=-\frac{1}{4}(x-4)\)
Step-by-step explanation:
The point-slope from equation is:
\((y-y_{1})=m(x-x_{1})\\\)
Where the coordinate given is:
\((x_{1},y_{1})\)
m = \(-\frac{1}{4}\)
What is the equation of the line that passes through the point (-1,6) and has a y-intercept of -5
well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two
\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)
Question 2
Write an algebraic expression for the verbal expression.
a number n less 35
Answer:
35 - n
Step-by-step explanation:
a number n = "n"
less than = "minus or -"
35 = 35
Thus the answer should be "35 - n"Pleas Mark Brainliest!!! :DAshley has seen a lot of movies in which athletes are portrayed as being mean and aggressive. She therefore views negatively all athletes she meets. Ashley is exhibiting a(n) ______.
Ashley is exhibiting a(n) stereotyping.
Ashley is exhibiting a cognitive bias known as "stereotyping." Stereotyping refers to the process of categorizing individuals into groups based on certain characteristics and assuming that all members of that group possess similar traits or behaviors. In this case, Ashley has developed a negative stereotype about athletes based on her exposure to movies portraying them as mean and aggressive.
This stereotype is likely a result of media influence and the limited exposure Ashley has had to real-life athletes. The media often exaggerates certain characteristics or behaviors of athletes to create more dramatic storylines. Unfortunately, this portrayal can create a distorted perception of athletes in the minds of viewers like Ashley.
By generalizing the negative traits seen in movies to all athletes she meets, Ashley is engaging in a cognitive shortcut known as "generalization." She is assuming that the characteristics depicted in movies accurately represent the entire group of athletes, which is an oversimplification and an unfair judgment.
It is important to recognize that individuals within a group, such as athletes, vary greatly in terms of personality, behavior, and values. Stereotyping can lead to prejudice and discrimination, preventing Ashley from forming unbiased opinions and potentially missing out on meaningful connections and relationships.
To overcome this bias, Ashley should strive to challenge her stereotypes and approach each athlete she encounters with an open mind. By engaging in personal interactions and gaining a broader understanding of athletes' diverse experiences and personalities, Ashley can break free from the limitations of stereotyping and form more accurate judgments based on individual merit.
To learn more about stereotyping here:
https://brainly.com/question/8195353
#SPJ4