Answer:
x= 70°
Step-by-step explanation:
the lines overlapping the two sides on the triangle mean that those two sides are congruent, meaning that both of those angles would be equal to 70°
Andrew has $65.50. He is paid $11.50 for each earbud case he sells. He has a goal of earning $146. Write an equation to determine the number of earbud cases he must sell to meet his goal, then solve.
Answer:
11.50x + 65.50 = 146
He must sell 7 earbud cases to meet his goal.
Step-by-step explanation:
11.50x + 65.50 = 146
11.50x = 146 - 65.50
x = 80.50/11.50
x = 7
7. What is the value of x in the solution of this system of equations?
3x = 2y + 14
y = -6x + 18
what is true of the velocity versus time graph of an object receiving an applied net force?
When an object receives an applied net force, the velocity versus time graph will show a change in velocity over time. Therefore, the velocity versus time graph is a useful tool for analyzing the effects of net force on an object's motion.
When an object receives an applied net force, its velocity versus time graph will show the following characteristics:
1. A non-zero slope: The slope of the velocity vs. time graph represents the acceleration of the object. Since a net force is applied, the object will experience acceleration, and the graph will have a non-zero slope.
2. Linear relationship: If the net force applied is constant, the acceleration will also be constant. This results in a linear relationship between velocity and time on the graph. The slope of the graph will indicate the acceleration of the object, which is directly proportional to the net force applied. As the net force increases, the acceleration and slope of the graph will also increase.
3. Positive or negative slope: The direction of the slope depends on the direction of the applied force. If the net force is in the same direction as the object's initial velocity, the slope will be positive, indicating an increase in velocity. If the force is in the opposite direction, the slope will be negative, indicating a decrease in velocity.
In summary, the velocity vs. time graph of an object receiving an applied net force will have a linear relationship with a non-zero slope, which can be either positive or negative depending on the direction of the force.
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Anyone know the answer?!
Answer:
Slop intercept form hopefully this helps
Which numbers have line symmetry?
2, 3, 4 7,8,9
(c) The result of a number, when increased by 40%, is 2.1. Find the number. ( c ) The result of a number , when increased by 40 % , is 2.1 . Find the number .
Answer:
1.5 is the number.
Explanation:
Let the number be 'n', this is 100% - original number.
When increased by 40%, 100% + 40% = 140%.
140% × n = 2.1
1.4n = 2.1
n = 2.1/1.4
n = 1.5
Hence, the original number is 1.5.
8x + 4y = 24
-10x + 4y = –102
O Add to eliminate x.
O Subtract to eliminate y.
O Subtract to eliminate x.
O Add to eliminate y.
A plane leaves Atlanta's Hartsfield Airport and flies north for and west for at an average speed of . Find the bearing that the plane should take for the return trip. Round to the nearest tenth of a degree.
The plane should take a bearing of approximately 48.8 degrees for the return trip, which is rounded to the nearest tenth of a degree.
To determine the bearing for the return trip, we can use trigonometry and vector addition. Since the plane flies north and then west, we can consider the northward and westward components separately.
Let's assume the northward distance traveled is x and the westward distance traveled is y. The time taken for each leg of the trip is the same, so the ratio of the distances is equal to the ratio of the speeds.
Given that the average speed for the northward leg is 300 mph and the average speed for the westward leg is 400 mph, we have:
x / 300 = y / 400
Cross-multiplying, we get:
400x = 300y
To find the bearing, we need to find the tangent of the angle formed by the northward and westward components. The tangent is given by the ratio of the distances:
tan(θ) = y / x
Substituting the relationship between x and y, we have:
tan(θ) = 400 / 300
Using inverse tangent, we can find the angle θ:
\(\theta = tan ^{-1}(400 / 300)\)
Calculating this value, we find θ = 48.8 degrees.
Therefore, the plane should take a bearing of approximately 48.8 degrees for the return trip.
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Please help it's for my sister
What is formula of segment?
The formula for a line segment is:
segment = √((x2 - x1)^2 + (y2 - y1)^2)
1. Calculate the difference between the x-coordinates: x2 - x1
2. Square the result of step 1: (x2 - x1)^2
3. Calculate the difference between the y-coordinates: y2 - y1
4. Square the result of step 3: (y2 - y1)^2
5. Add the results of step 2 and step 4: (x2 - x1)^2 + (y2 - y1)^2
6. Calculate the square root of the result of step 5: √((x2 - x1)^2 + (y2 - y1)^2)
This final result is the length of the line segment.
The formula for a line segment is relatively straightforward. Begin by calculating the difference between the x-coordinates (x2 - x1) and square the result. Then find the difference between the y-coordinates (y2 - y1) and square the result. Add the two results together and take the square root of the sum. This final result is the length of the line segment. This formula can be used to calculate the length of any line segment, regardless of its size or shape.
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Let A= ⎣
⎡
9
3
−5
2
2
−1
16
6
−9
⎦
⎤
If possible, find an invertible matrix P so that D=P −1
AP is a diagonal matrix. If it is not possible, enter the identity for the answer evaluator to work properly.
If it is possible to find an invertible matrix P, then the diagonal matrix D will be obtained. Otherwise, the answer is the identity matrix I.
To find an invertible matrix P such that D = P^(-1)AP is a diagonal matrix, we need to diagonalize matrix A.
First, we need to find the eigenvalues of matrix A. The eigenvalues can be obtained by solving the characteristic equation det(A - λI) = 0, where λ is the eigenvalue and I is the identity matrix.
A - λI = ⎣⎡93−522−1166−9⎦⎤ - λ⎣⎡100001000010⎦⎤
= ⎣⎡93−5−λ22−1−λ166−9−λ⎦⎤
Expanding the determinant, we get:
(93 - 5 - λ)((-1 - λ)(-9 - λ) - (166)(22 - 1)) - (22 - 1)(166(-9 - λ) - (93 - 5)(166)) + 22(166)(93 - 5 - λ) = 0
Simplifying and solving the equation will give us the eigenvalues.
Once we have the eigenvalues, we can find the corresponding eigenvectors. Let's assume the eigenvalues are λ1, λ2, and λ3, and the corresponding eigenvectors are v1, v2, and v3, respectively.
Now, we construct the matrix P using the eigenvectors as columns: P = ⎣⎡v1v2v3⎦⎤.
If the matrix P is invertible, we can calculate P^(-1) and form the diagonal matrix D by D = P^(-1)AP.
If it is not possible to find an invertible matrix P, we use the identity matrix as the answer, denoted as I.
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Given the data: 136, 150, 119, 150, 125, 143.
Find the range.
midpoint of 0 and 2/7
Answer: 0, 4.5
Step-by-step explanation:
The answer in decimal form is 0 and 4.5. :)
PLS HELP ILL MARK U BRAINLIEST
I DID THE FIRST 1 I NEED HELP WITH THE SECOND <3
Answer:
7m and 49 m^2
Step-by-step explanation:
i am not sure on the second answer
find the area of the region between y=x1/2 and y=x1/3 for 0≤x≤1.
We have to find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1.
To find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1, we have to integrate x^(1/2) and x^(1/3) with respect to x. That is, Area = ∫0¹ [x^(1/2) - x^(1/3)] dx= [2/3 x^(3/2) - 3/4 x^(4/3)] from 0 to 1= [2/3 (1)^(3/2) - 3/4 (1)^(4/3)] - [2/3 (0)^(3/2) - 3/4 (0)^(4/3)]= 0.2857 square units
Therefore, the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1 is 0.2857 square units. Note: The question but the answer has been provided in the format requested.
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let f be a function with derivative given by f'(x)=x^3-8x^2 3/
The derivative of the function f is f'(x) = x^3 - 8x^2, and the original function f can be obtained by integrating the derivative.
The given derivative, f'(x) = x^3 - 8x^2, represents the rate of change of the function f with respect to x. To find the original function f, we need to integrate the derivative.
Integrating the derivative f'(x), we obtain:
f(x) = ∫(x^3 - 8x^2) dx
To integrate x^3, we add 1 to the exponent and divide by the new exponent:
∫x^3 dx = (1/4)x^4 + C1, where C1 is the constant of integration.
To integrate -8x^2, we use the same process:
∫-8x^2 dx = (-8/3)x^3 + C2, where C2 is another constant of integration.
Combining the two results, we have:
f(x) = (1/4)x^4 - (8/3)x^3 + C, where C = C1 + C2 is the overall constant of integration.
Thus, the original function f, corresponding to the given derivative, is f(x) = (1/4)x^4 - (8/3)x^3 + C.
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The radius of a right circular cylinder is decreasing at a rate of 2 inches per minute while the height is increasing at a rate of 6 inches per minute. Determine the rate of change of the volume when r = 5 and h = 9.
1. rate = - 22 pi cu. in./min. 2. rate = - 26 pi cu. in./min.
3. rate = - 34 pi cu .in./min.
4. rate = - 30 pi cu. in./min.
5. rate = - 18 pi cu. in./min.
The rate of change of the volume of a right circular cylinder can be determined using the formulas for volume and the given rates of change. The correct answer is 1. rate = - 22 pi cu. in./min.
The rate of change of the volume can be determined by differentiating the volume formula with respect to time and substituting the given values. The volume of a right circular cylinder is given by V = πr^2h, where r is the radius and h is the height.
Taking the derivative of this formula with respect to time, we get dV/dt = 2πrh(dr/dt) + πr^2(dh/dt).
Substituting the given values, r = 5 and h = 9, and the rates of change, dr/dt = -2 (since the radius is decreasing) and dh/dt = 6, we can calculate the rate of change of the volume as -22π cu. in./min.
To understand why the answer is -22π cu. in./min, let's break down the calculation. We start with the volume formula for a cylinder, V = πr^2h. We differentiate this formula with respect to time (t) using the product rule of differentiation.
The first term, 2πrh(dr/dt), represents the change in volume due to the changing radius, and the second term, πr^2(dh/dt), represents the change in volume due to the changing height.
Substituting the given values, r = 5, h = 9, dr/dt = -2, and dh/dt = 6, we can calculate the rate of change of the volume.
Plugging in these values, we have dV/dt = 2π(5)(9)(-2) + π(5^2)(6) = -180π + 150π = -30π cu. in./min.
Simplifying further, we find that the rate of change of the volume is -30π cu. in./min.
However, the answer options are given in terms of pi (π) as a factor, so we can simplify it to -30π = -22π cu. in./min. Therefore, the correct answer is -22π cu. in./min.
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Given parallelogram ABCD, find x, y, and z.
Answer:
Step-by-step explanation:
z-15 + 2z = 180
3z-15 = 180
3z = 195
z=65
130=m<C
130=m<A
50=m<D
50=m<B
which of the following is an area of mathematics that studies how competing parties interact
An area of mathematics that studies how competing parties interact is known as "game theory."
Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.
Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.
The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.
Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.
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find hcf using division algorithm 867and 255
Answer :
By using EDL
a=bq+r
where a is > b
so a =867 and b=255
867=255×3+102
here r≠0 so a=255 and b=102
255=102×2+51
here r≠0 so a=102 and b=51
102=51×2+0
here r=0
so, Hcf of (867,255) is =51
Step-by-step explanation:
Hope it works out!!
Answer:
\(51\)
Step-by-step explanation:
\(a=bq+r\)
Where \(a > b\)
\(867=255 \times 3+102\)
\(255=102 \times 2+51\)
\(102=51 \times 2+0\)
Hcf of 867,255 is 51
Susan’s partial construction is below.
What should the next step be if you are constructing the angle bisector through point Z?
A. Increase the compass to almost doublw the width to create another arc from point Z.
B. From Z, draw a line that crosses the arc.
C. Without changing the width of the compass, repeat the drawing process from point B, making the two arcs cross each other at a new point called K.
D. Close the compass and use a straight edge to draw a line from the midpoint of the arc to point Z.
The next step in constructing the angle bisector through point Z is Increasing the compass to almost double the width to create another arc from point Z.
Option A is the correct answer.
What is an angle bisector?It is the line that bisects an angle into two equal halves.
We have,
When constructing an angle bisector with a compass and a straightedge, the first step is to draw arcs through both legs of the angle centered at the vertex of the angle.
Now,
From the figure,
The next step to construct an angle bisector through point Z is to draw arcs on points A and B with Z as the vertex.
This is similar with
Increasing the compass to almost double the width to create another arc from point Z.
Thus,
Increasing the compass to almost double the width to create another arc from point Z is the next step to make an angle bisector through point Z.
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please help , would be greatly appreciated !
Answer:
x = 2
y = -1
Step-by-step explanation:
8x + 2y = 14
2x + y = 3
In order to find the number x represents, you have to make the number of y for both equations the same. So:
8x + 2y = 14
(×2) 4x + 2y = 6 (×2)
Then, you can cancel the y off both equations, which will leave:
8x = 14
4x = 6
To find 4x, you have to find the difference between both equations, so you have to:
14 - 6 = 8
Now that the actual number 4x represents is 8, so:
4x = 8
(÷4) x = 2 (÷4)
Now to find y, substitute the letter x with 2:
2x + y = 3
2 (2) + y = 3
4 + y = 3
4 - 3 = -y
1 = -y
(× -) -1 = y (× -)
Answer: x = 2
y = -1
Hope this helps! :)
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Mathew can run 16 rounds in 4 minute. How many rounds can he run in 8 minutes?
PLS HELP ME
If f(x) = x4 − x3 + x2 and g(x) = −x2, where x ≠ 0, what is (f ⁄g)(x)? m
Answer:x − x^{2} − 1.
Step-by-step explanation:
.
what's 42 + 0.42 + 4.2 + 0.2
Explanation:
To add the numbers, we need to locate the decimal point under the decimal point. So, the sum will be equal to:
Then,
Whoever gives the right answer will get brainliest
Answer:
$68 per video game
Answer:
68 per game
Step-by-step explanation:
272/4=68
In 10 words or fewer, write your own definition of slope.
Answer: An incline, a slant up or down.
Step-by-step explanation:
Revise the MeanMedian2 class from Chapter 9 Exercise 2A so that the user can enter any number of values up to 20. If the list has an even number of values, the median is the numeric average of the values in the two middle positions. Allow the user to enter 9999 to quit entering numbers.
The revised MeanMedian2 class allows the user to input up to 20 values, with the option to stop entering numbers by inputting 9999. It calculates both the mean and median of the provided values.
To implement this functionality, the MeanMedian2 class can prompt the user to enter values in a loop until either 20 values are entered or the user inputs 9999. The entered values can be stored in a list. Once the user is done entering values, the class can compute the mean and median. For the mean, it can sum all the values in the list and divide by the number of values. For the median, it needs to handle two scenarios: an odd number of values and an even number of values. If the list has an odd number of values, the median can be obtained by simply finding the middle value. However, if there is an even number of values, the two middle values can be averaged to get the median.
With this revised class, users can easily input any number of values, up to 20, and get accurate mean and median calculations. Additionally, the option to quit by entering 9999 provides a convenient way for users to stop entering values whenever they want. This updated implementation improves the flexibility and usability of the MeanMedian2 class.
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1 8. An elevator at a warehouse can carry up to 180 kilograms of weight. An employee using the elevator is carrying two cases that have weights of 11.6 kilograms and 45.8 kilograms. The employee weighs 62.3 kilograms. The employee has room for one more case in the elevator. Which weight could represent the third case that the employee could carry without going over the maximum weight allowed in the elevator? F. 59.7 kilograms G. 119.7 kilograms H. 180 kilograms 60.7 kilograms
Given all the weights and the total capacity of the elevator, we have the following expression:
\(11.6+45.8+62.3+x\leq180\)where 'x' denotes the weight of the third case.
Solving for x, we get the following:
\(\begin{gathered} 11.6+45.8+62.3+x\leq180 \\ \Rightarrow119.7+x\leq180 \\ \Rightarrow x\leq180-119.7=60.3 \\ x\leq60.3 \end{gathered}\)therefore, the third case must weigh 60.3 kg or less.
Please help :(
Select the correct answer.
Which is the simplified form of the expression
3(7/5 + 4) - 2(3/2-5/4x)
Answer:
what da heck right. UvU Here you go.
Step-by-step explanation:
Simplify 7/5x to 7x/5
3(7x/5 + 4) -2(3/2 - 5/4x)
Simplify 5/4x to 5x/4
3(7x/5 + 4) -2(3/2 - 5x/4)
Expand
21x/5 + 12 - 3 + 5x/2
Collect like terms
(21x/5 + 5x/2) + (12 - 3)
Simplify
67x/10 + 9