Answer:
answer is
{X^2 + 4, X<2
{X + 4, X>2
Step-by-step explanation:
Because both solution set graph is at the begining hole at the value of X = 2 this means both sets doesn't contain 2.
Explain why angle “a” must be 135
25 points. I need assistance, please show working out.
Answer:
81°
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°.
The base of the 10 triangles make a straight line. 180/10 = 18°
The small angle along the base is 18°
180-18 = 162
The other two angles of the triangle must add up to 162. Since this is a isosceles triangle. The other 2 angles have the same measurements.
162/2 = 81. The measurement of the angle we are looking for is 81°
16. An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. Write an equation to model the situation. Find the altitude of the plane after 5 minutes
Answer:
equation: y=-2,000x+30,000
altitude after five minutes: 20,000
Step-by-step explanation:
y = altitude of the plane
x= slope (the plane descends -2000 feet per min, so the slope is -2000)
the y-intercept is 30,000 as the plane begins at 30000 feet above ground
A. 569 x 102 = 569,000
B. 569 x 10 = 56.9
C. 103 x 569 = 569,000
D. 102 x 569 = 5,690
Answer:
A: False B: False C: False D: False
Step-by-step explanation:
569x 102 = 58038
569x 10 = 5690
103x 569 = 58607
102x 569 = 58038
what are the effects of cross-linking in polymers?
In addition to decreasing , solubility, and permeability, cross-linking improves polymer strength, stiffness, and temperature resistance.
The process of creating chemical linkages between polymer molecules to form a three-dimensional network is known as cross-linking. The polymer is stronger and more rigid thanks to this network of molecules, which also boosts its resistance to heat and chemicals. In addition to increasing the polymer's durability and resistance to environmental changes, cross-linking also decreases the polymer's flammability, solubility, and permeability. The polymer becomes more stable and less prone to deformation as a result of cross-linking, which also raises the melting point of the polymer. A polymer's characteristics can be modified by cross-linking to fit the needs of certain applications. For instance, cross-linking might be to boost a polymer's strength to satisfy. For example, cross-linking can be employed to make a polymer stronger to fulfil the demands of a particular application or less flammable to make it safer to use. In a variety of sectors, cross-linking is a crucial component of polymer chemistry and polymer engineering.
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Find the line's slope and a point on the line.
Answer:
done.
Step-by-step explanation:
yeah+ya .... right?
Does (2, 4) make the equation y = –6x true?
Answer:
No
Step-by-step explanation:
When \(x=2\), \(y=-6(2)=-12\), not \(4\).
Below is the graph of f(x) = 2 In(x). How would you describe the graph of
g(x) = 4 In(x)?
A. g(x) stretches f(x) vertically by a factor of 2.
B. g(x) compresses f(x) by a factor of 2.
C. g(x) shifts f(x) up 2 units.
D. g(x) shifts f(x) to the right 2 units.
The correct option is A, this is a vertical stretch of scale factor of 2.
How to describe the graph of g(x)?We know that:
f(x) = 2ln(x)
And the transformed function is:
g(x) = 4ln(x)
So g(x) is a vertical dilation by a scale factor of 2 of f(x), we can write:
g(x) = 2*f(x) = 2*2ln(x) = 4ln(x)
Then the correct option is A, this is a vertical stretch of scale factor 2.
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If y = z1 + z2, where z1 is in a subspace W and z2 is in W complement, then z1 must be the orthogonal projection of y onto W.
To solve the given system of differential equations, we can use the substitution method to obtain first-order linear differential equations and solve them for x and y. Alternatively, we can apply the operator method to rewrite the system as a second-order linear differential equation.
To solve the given system of differential equations using three different methods - substitution method, operator method, and eigen-analysis method - we start by representing the system in matrix form: Let X = [x y]' and X' = [x' y']'. The given system can be written as: X' = A * X + B, where A is the coefficient matrix and B is the vector of constants.
Substitution Method:
In this method, we substitute the expressions for x' and y' from the given system into the equations and solve for x and y. By substituting the given expressions, we obtain two first-order linear differential equations. We can then solve these equations using standard methods such as separation of variables or integrating factors to find the solutions for x and y.
Operator Method:
The operator method involves defining operators D = d/dt and E = d/de, where t is the independent variable and e is the exponential function. We can rewrite the given system as a single second-order linear differential equation in terms of these operators. By manipulating the equations using operator algebra, we can find the characteristic equation and the solutions for x and y.
Eigen-analysis Method:
The eigen-analysis method involves finding the eigenvalues and eigenvectors of the coefficient matrix A. By calculating the eigenvalues, we can determine the type of critical points in the system. The eigenvectors corresponding to the eigenvalues provide the basis for the solutions. Using the eigenvalues and eigenvectors, we can construct the general solution for the system. Lastly, the eigen-analysis method helps us determine the critical points and construct the general solution using eigenvalues and eigenvectors.
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Find the principal S.I. = $ 192 Rate = 6% per annum Time = 4 year
simple interest =192
rate =6%
time =4years
principle=I×100÷T×R
=192×100÷4×6
=19200÷24
=800 answer!!!
I have three fair dice: one is 6-sided, one is 8-sided, and one is 12-sided. Each n-sided die has numbers 1 through 1 OH its sides, and each side is equally likely to come up. [roll the three dice at the same time. (a) What is the probability that [ roll the saine number on all three dice? (b) [ pick one of the dice at random, with all three equally likely to be picked. roll it and it comes up "4" What is the probability that the die [ rolled was the 6-sidled one? (c) What is the probability that the smallest number roll is at least 32 Hint: 'smallest number is at least 3" all 3 dice show 3 O1 higher" (d) What is the probability that the product of the three numbers roll is even"
The probability of rolling the same number on all three dice can be found by multiplying the probabilities of rolling the same number on each individual die. The probability of rolling the same number on the 6-sided die is 1/6, the probability of rolling the same number on the 8-sided die is 1/8, and the probability of rolling the same number on the 12-sided die is 1/12. Multiplying these probabilities together gives us the probability of rolling the same number on all three dice: (1/6) * (1/8) * (1/12) = 1/576.
The probability of rolling a "4" on one of the dice and it being the 6-sided die can be found by multiplying the probability of rolling a "4" on the 6-sided die (1/6) by the probability of picking the 6-sided die at random (1/3). This gives us a probability of (1/6) * (1/3) = 1/18.
The probability of the smallest number rolled being at least 3 can be found by subtracting the probability of the smallest number being less than 3 from 1. The probability of the smallest number being less than 3 is the probability of rolling a 1 or a 2 on each of the dice: (2/6) * (2/8) * (2/12) = 1/72. Therefore, the probability of the smallest number being at least 3 is 1 - (1/72) = 71/72.
The probability of the product of the three numbers rolled being even can be found by subtracting the probability of the product being odd from 1. The probability of the product being odd is the probability of rolling an odd number on each of the dice: (3/6) * (4/8) * (6/12) = 1/8. Therefore, the probability of the product being even is 1 - (1/8) = 7/8.
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One meaning of the word rigid is "not bendable", and another is "unable to be changed". How do those meanings correspond to the
definition of rigid motion?
Answer:
I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.
Step-by-step explanation:
HELPPP PLEASE!! I will give you a five star rating!
add the two numbers and you get 407.1212. Subtract that from the solution and you get 85!!
find the value of X, y and z
ans: x=50 y= 50 z=50
The value of x , y and z in the parallel line is 50 degrees.
How to find the angle in parallel line?When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.
Therefore, let's use the angle relationships to find the angle, x, y and z as follows:
Therefore,
x = 360 - 310(sum of angles in a point)
x = 50 degrees
Therefore,
x = y(alternate interior angles)
Alternate interior angles are congruent.
Hence,
y = 50 degrees
Therefore,
x = z(alternate interior angles)
z = 50 degrees.
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If 9 x 7 = 3545 and 4 x 3 = 1520 then 6 x 8 = ?
Answer:
4030 or 3040 I think 4030 though
Step-by-step explanation:
I think this is it but 6*8 is 48....I used a little logic so hopefully this is right
Answer:
4030
Step-by-step explanation:
if 9× 7 = 3545 then it 7 × 5, 9× 5 which gives 3545
4x3 = 3× 5, 4×5 which gives 1520
so 6× 8 will give 8×5, 6×5 = 4030
Write as a single power, then evaluate.
(3^3)^4
Step-by-step explanation:
\( { ({3}^{3} )}^{4} \)
\( = {3}^{3 \times 4} \)
\( = {3}^{12} \)
\(or \)
\( = 531441\)
A gardener wants to divide a square piece of lawn in half diagonally. What is the length of the diagonal if the side of the square is ? Leave your answer in simplest radical form.Viruses
a. 16√8
b. 2√8
c. 8√8
d. 4
The correct response is c. 8√2 . The length of the diagonal if the side of the square is 8√2.
A polygon's opposed vertices (or corners) are connected by a line segment known as a diagonal. Or to put it another way, a diagonal is a line segment joining two polygonal vertices that are not neighbouring. With the exception of the figure's edges, it connects a polygon's vertices. For instance, a diagonal line or movement runs slopingly from one corner of a square to the other corner. a type of straight line called a diagonal. Straight up, down, or across are not possible on a diagonal line. It is a line that joins the corners of a form at two points. Instead of running straight up or across, a diagonal is formed by a straight line that is positioned at an angle.
Right isosceles triangles with both legs 8 feet long would make up each half.
The hypotenuse that both of those triangles would share is the diagonal.
We must determine the hypotenuse's length, d, in feet.
According to the Pythagorean theorem, the lengths of the legs' squares sum up to the length of the hypotenuse's square, so
\(8^{2} +8^{2} =8\sqrt{2}\)
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A gardener wants to divide a square piece of lawn in half diagonally. What is the length of the diagonal if the side of the square is 8ft? Leave your answer in simplest radical form.
a. 16√8
b. 2√8
c. 8√2
d. 4
An airplane travels 2130 kilometers against the wind in 3 hours and 2550 kilometers with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind? Note that the ALEKS graphing calculator can be used to make computations easier.
The rate of the plane in still air is 255 km/h and the rate of the wind is 15 km/h.
Let's denote the rate of the plane in still air as x km/h and the rate of the wind as y km/h.
When the plane travels against the wind, its effective speed is reduced. Therefore, the time it takes to travel a certain distance is increased. We can set up the equation:
2130 = (x - y) * 3
When the plane travels with the wind, its effective speed is increased. Therefore, the time it takes to travel the same distance is reduced. We can set up another equation:
2550 = (x + y) * 3
Simplifying both equations, we have:
3x - 3y = 2130 / Equation 1
3x + 3y = 2550 / Equation 2
Adding Equation 1 and Equation 2 eliminates the y term:
6x = 4680
Solving for x, we find that the rate of the plane in still air is x = 780 km/h.
Substituting the value of x into Equation 1 or Equation 2, we can solve for y:
3(780) + 3y = 2550
2340 + 3y = 2550
3y = 210
y = 70
Therefore, the rate of the wind is y = 70 km/h.
In summary, the rate of the plane in still air is 780 km/h and the rate of the wind is 70 km/h.
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1 1/4 times 8
Please help
Answer: 10
Step-by-step explanation:
\(\frac{5}{4} *8=\frac{40}{4} =10\)
Give an example of a vector field F(x, y) in 2-space with the stated property F is constant Fx, y)-
The partial derivative with respect to y, Fy(x, y), is also constant and equal to -2, while the partial derivative with respect to x, Fx(x, y), is equal to 0.
One example of a vector field F(x, y) in 2-space with constant Fx, y is:
F(x, y) = (3, 0)
This vector field has a constant x-component of 3 and a constant y-component of 0 at every point (x, y) in 2-space. Therefore, the partial derivative with respect to x, Fx(x, y), is also constant and equal to 3, while the partial derivative with respect to y, Fy(x, y), is equal to 0.
Another example of a vector field with constant Fx, y could be:
F(x, y) = (0, -2)
This vector field has a constant y-component of -2 and a constant x-component of 0 at every point (x, y) in 2-space. Therefore, the partial derivative with respect to y, Fy(x, y), is also constant and equal to -2, while the partial derivative with respect to x, Fx(x, y), is equal to 0.
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What is the median ??
I will mark brainlest
I will report who ever sends me a link
Please only accurate answers
number 7 please
7. Determine the approximate location of a GPS receiver if it has been determined that: (4 mark) - Station 1 (at 74, 41) is \( 44 \mathrm{~km} \) away. - Station \( 2( \) at 0,43\( ) \) is \( 38 \math
If Station 1 (at 74, 41) is 44 km away and Station 2( at 0,43 ) is 38 km away. The required approximate location of the GPS receiver is (42, 10).
The location of the GPS receiver can be determined with the help of trilateration. Trilateration is a process of determining absolute or relative locations of points by measurement of distances, using the geometry of circles, spheres, or triangles. If three stations (or more) are in known locations, with a known distance from the point of interest, we can determine the position of the GPS receiver with the help of trilateration.
It can be determined by the following method:
1: Plot the given stations on a coordinate plane. Stations are:
Station 1: (74, 41)
Station 2: (0, 43)
2: Calculate the distance of the GPS receiver from each station using the distance formula.
Distance Formula: The distance formula is used to find the distance between two points in the coordinate plane. The distance between points (x1,y1) and (x2,y2) is given by
d = √[(x2 - x1)² + (y2 - y1)²]
Station 1: Distance from station 1 = 44 kmSo, d1 = 44 km
Station 2: Distance from station 2 = 38 kmSo, d2 = 38 km
3: Plot the given distances as the circle on the coordinate plane.
Circle 1: Centred at (74, 41) with a radius of 44 km.
Circle 2: Centred at (0, 43) with a radius of 38 km.
4: The intersection of two circles. Circle 1 and Circle 2 intersect at point P (approx) (42, 10). So, the approximate location of the GPS receiver is (42, 10).
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two 6-sided dice are rolled 40 times and the data from each roll is recorded. what are the theoretical odds of how many times the dice landed with the same number?
Two 6-sided dice are rolled 40 times and the data from each roll is recorded to has 3 even and 3 odd numbers.
Probability of getting even number is
3/6 = 0.5
i.e. 50%
Out of 40 rolls there are 50% chances to get even number. i.e.
50 × 1/100 × 40 = 20
Thus 20 is the answer,
It’s true that the outcome of 20 is the most likely outcome, but is it likely? Actually you’ll only get an outcome of exactly 20 about 12.5% of the time.
57% of the time you’ll get an outcome of 18, 19, 20, 21, or 22.
If you want a range that occurs >95 % of the time, you’ll need to cover 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26.
So, I think it really depends on what exactly you mean by likely.
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The length between the bases on a baseball field is 90 feet. A scale drawing shows the distance between the bases are 2 1/2 inches. one inch on this drawing equals how many feet?
Answer:
36
Step-by-step explanation:
Find the slope of the line that passes through (1,7) and (10, 9).
Answer: 2/9
Step-by-step explanation:
Answer:
2/9
Step-by-step explanation:
y2 - y1 over x2 - x1
Then subtract and get 2/9
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Arthur sits in the park reading a newspaper, then starts walking home at a constant pace. He stops for bagels, then walks the rest of the way home.
Use the graph to answer questions about this scenario.
1. What does the x-axis represent in this situation?
2. What does the y-axis represent?
3. During which parts of the graph does Arthur's distance from home decrease?
4. When is Arthur waiting for bagels? Explain how you know.
5. If Arthur's pace had not been constant after leaving the bagel shop, which part of the graph would change? Explain how that part of the graph would change.
6. If Arthur had spent less time reading his newspaper, which part of the graph would change? How would that part change?
The answers to each part is below..
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a graph as shown in the image.
The {x} - axis represents the time.The {y} - axis represents the distance from the home.During the 2nd and 4th part.During the 2nd part, he is waiting for bagels.The 2nd part of the graph would change.The first part would have changed.Therefore, the answers to each part is given above.
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x+3y=10 what is the slope of the line
Answer:
-1/3 is the slope of the line
Step-by-step explanation:
Answer:
\(-\frac{1}{3}\)
Step-by-step explanation:
y = mx + b
m is the slope and b is the y-intercept.
Subtract x from both sides of the equation.
x - x + 3y = 10 - x
3y = 10 - x
Divide each term by 3.
\(\frac{3y}3y} = \frac{10}{3} + \frac{-x}{3}\)
\(y = \frac{-x}{3} + \frac{10}{3}\)
Rewrite in slope intercept form.
\(y = -\frac{1}{3}x + \frac{10}{3}\)
What are some parent functions with a domain of all real numbers?
Answer:
The identity function has a slope of m = 1 and a y-intercept of (0, 0) .
Step-by-step explanation:
The identity function is a special type of linear function having the form f(x) = x . The domain of this function is all real numbers and the range consists of all real numbers .
Instructions: Match the linear equation with its graph. Label the slope and -intercept.
Given the following question:
\(y=-3x+1\)Graph 3 is the same as y = -3x + 1
For part B:
\(\begin{gathered} y=-3x+1 \\ y=mx+b \\ m=slope \\ b=y-intercept \\ m=-3 \\ b=1 \end{gathered}\)15 bakers complete a big order in 24 hours. How many hours would it take 18 bakers to complete the same order? Please help with explanation, thank you!
Answer:
it will take 20 hours for 18 bakers to complete the same order
Step-by-step explanation:
15 bakers take 24 hours
18 bakers take x hours
15 * 24 = 360 "baking hours"
18 * x = 18x " baking hours"
360 baking hours = 18x baking hours
360 = 18x
18 18
20 = x
x = 20 hours