Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
y ≥ 5
Step-by-step explanation:
Distribute
2y - 2 = 8
+2. +2
2y/2 = 10/2
y = 5
disorder is to chaos as interest is to
Answer: income
Step-by-step explanation: i just remembered it
Hope this helps and your welcome
Have a nice day
Answer:
obsession
Step-by-step explanation:
Which statement about the graph of y=6(0.5)x
is true?
Responses
The coordinates of the x-intercept are (0.5,0)
.
The coordinates of the x- intercept are open paren 0 point 5 comma 0 close paren.
The coordinates of the y-intercept are (0,6)
.
The coordinates of the y -intercept are open paren 0 comma 6 close paren.
The graph includes the point (6, 0.5)
.
The graph includes the point (6, 0.5)
.
The equation of the asymptote is x=0
.
The graph of y=6(0.5)x is a decreasing exponential function.
What is graph?Graph is a data structure that consists of nodes and edges. Nodes are the points which are connected by edges. Graphs are used to represent relationships between different objects, and can be used to represent real-world scenarios such as social networks, road networks, and other types of networks. Graphs are widely used in data science, machine learning, AI, and many other fields. Graphs are powerful because they can show complex relationships between data points that would otherwise be difficult to understand. With graphs, it is easier to analyze and visualize data, allowing for better decision-making.
This is because the exponent, 0.5, is a fraction less than 1, meaning that the value of y decreases at a faster rate with increasing x. This is why the graph is not a straight line, because the slope decreases with increasing x. Furthermore, the y-intercept is (0,6), meaning that the graph starts at 6 on the y-axis and decreases from there. Additionally, the x-intercept is (0.5,0), meaning that the graph crosses the x-axis at 0.5 and decreases from there. Finally, the equation of the asymptote is x=0, indicating that the graph approaches x=0 asymptotically as x approaches infinity. Thus, the graph of y=6(0.5)x is a decreasing exponential function.
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Find x and Angle EFG.
In the figure at the right what is ML1 if ML3 = 70°
how to find the hypotenuse of a triangle using trigonometry
To find the hypotenuse of a right triangle using trigonometry, we can utilize the Pythagorean theorem and the trigonometric ratios of sine, cosine, or tangent. Here's a step-by-step explanation:
1. Identify the right triangle: Ensure that the triangle has a right angle, which is a 90-degree angle.
2. Label the sides: Identify the two sides of the right triangle that are not the hypotenuse. These sides are typically referred to as the adjacent side and the opposite side.
3. Choose the appropriate trigonometric ratio: Depending on the information you have, select the appropriate trigonometric ratio that relates the sides you know.
- If you have the adjacent side and the hypotenuse, use cosine: cosθ = adjacent/hypotenuse.
- If you have the opposite side and the hypotenuse, use sine: sinθ = opposite/hypotenuse.
- If you have the opposite side and the adjacent side, use tangent: tanθ = opposite/adjacent.
4. Substitute the known values: Plug in the values you have into the trigonometric equation and solve for the unknown side (hypotenuse).
5. Apply the Pythagorean theorem: If you don't have the hypotenuse directly but know the lengths of both the adjacent and opposite sides, you can use the Pythagorean theorem, which states that the sum of the squares of the two legs (adjacent and opposite sides) is equal to the square of the hypotenuse. The formula is a² + b² = c², where c represents the hypotenuse.
6. Simplify and calculate: After substituting the known values into the equation, simplify and solve for the hypotenuse.
By following these steps and applying the appropriate trigonometric ratio or the Pythagorean theorem, you can find the length of the hypotenuse in a right triangle using trigonometry.
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If LMN = XYZ, which congruences are true by CPCTC? check all that apply.
Answer:
ML congruent YX
Step-by-step explanation:
You have chosen the correct answers
but , also [ ML congruent YX ]
Answer: Z= N
ML= YX
X=L
Step-by-step explanation:
the annual salaries of employees in a large company are normally distributed with a mean of $50,000 and a standard deviation of $20,000. what percent, or what is the probability, of people earning between $45,000 and $65,000?
The probability of people earning between $45,000 and $65,000 in this large company is approximately 29.46%.
We need to use the standard normal distribution formula, where we standardize the original distribution with mean and standard deviation to a standard normal distribution with mean 0 and standard deviation 1. We can then use a Z-table to find the probability.
First, we calculate the Z-scores for the lower and upper limits of the range of interest:
Z1 = (45,000 - 50,000) / 20,000 = -0.25
Z2 = (65,000 - 50,000) / 20,000 = 0.75
We can then look up the probabilities associated with these Z-scores in a standard normal distribution table. From the table, we find that the probability of a Z-score between -0.25 and 0.75 is 0.2946. To convert this back to the original units, we need to multiply the probability by 100 to get a percentage:0.2946 x 100 = 29.46%.
The normal distribution is a continuous probability distribution, so the probability of exact values is zero. We are calculating the probability of a range of values.
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Ue the given condition to write an equation for the line in point-lope form and in lope-intercept form. Slope = 1/2, paing through the origin
The equation of the line in point-slope form and in slope-intercept form are both y = 1/2x.
There are three common forms of the equation of a line:1. Point-Slope Form: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.
2. Slope-Intercept Form: y = mx + b, where m is the slope of the line and b is the y-intercept.
3. Standard Form: Ax + By = C, where A and B are coefficients that define the slope and y-intercept of the line.
If a line has a slope of 1/2 and passing through the origin, then:
m = 1/2
(x1, y1) = (0,0)
Plug in the values in the point-slope form and in slope-intercept form.
point-slope form
y - y1 = m(x - x1)
y - 0 = 1/2(x - 0)
y = 1/2x
slope-intercept form
y = mx + b
y = 1/2x + b
Substitute the values of x and y and solve for the y-intercept, b.
0 = 1/2(0) + b
b = 0
y = 1/2x + 0
y = 1/2x
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There are 10 pink cars, 12 blue cars and 8 yellow cars in the parking lot.
What is the ratio of yellow cars to the total number of cars in Erica’s toy box?
Show work
4: 15
15 : 4
5 : 4
2 : 3
Answer:
4 : 15
Step-by-step explanation:
total cars = 10 + 12 + 8 = 30 , then
yellow : total
= 8 : 30 ( divide both parts by 2 )
= 4 : 15 ( in simplest form )
Answer:
4 : 15 is the correct answer.
Step-by-step explanation:
10+12+8 is 30. 8 cards are yellow so 8/30 simplified is, 4 : 15.
find the point on the plane 4x − y + 4z = 40 nearest the origin.(x,y,z)=
The point on the plane 4x - y + 4z = 40 nearest the origin is (-3.048, -0.762, 6.467)
Given data ,
To find the point on the plane 4x - y + 4z = 40 nearest the origin, we need to minimize the distance between the origin and the point on the plane.
The normal vector to the plane 4x - y + 4z = 40 is given by (4,-1,4). To find the perpendicular distance from the origin to the plane, we need to project the vector from the origin to any point on the plane onto the normal vector. Let's choose the point (0,0,10) on the plane:
Vector from origin to (0,0,10) on the plane = <0-0, 0-0, 10-0> = <0,0,10>
Perpendicular distance from the origin to the plane = Projection of <0,0,10> onto (4,-1,4)
= (dot product of <0,0,10> and (4,-1,4)) / (magnitude of (4,-1,4))
= (0 + 0 + 40) / √(4^2 + (-1)^2 + 4^2)
= 40 / √(33)
To find the point on the plane nearest the origin, we need to scale the normal vector by this distance and subtract the result from any point on the plane. Let's use the point (0,0,10) again:
Point on the plane nearest the origin = (0,0,10) - [(40 / √(33)) / √(4^2 + (-1)^2 + 4^2)] * (4,-1,4)
= (0,0,10) - (40 / √(33)) * (4/9,-1/9,4/9)
= (0,0,10) - (160/9√(33), -40/9√(33), 160/9√(33))
= (-160/9√(33), -40/9√(33), 340/9√(33))
Hence , the point on the plane 4x - y + 4z = 40 nearest the origin is approximately (-3.048, -0.762, 6.467)
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Find the equation of the linear function represented by the table below in slope-intercept form.
x 0 1 2 3 4
y -8 0 8 16 24
Answer:
y = 8x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (0, - 8) and (x₂, y₂ ) = (2, 8) ← 2 ordered pairs from the table
m = \(\frac{8-(-8)}{2-0}\) = \(\frac{8+8}{2}\) = \(\frac{16}{2}\) = 8
The line crosses the y- axis at (0, - 8 ) ⇒ c = - 8
y = 8x - 8
Where do I put the parentheses for this question 5•2+3-8=17
What is m CD ?
Plzz help
Given:
Arc(AB) = 78 degrees
Measure of angle CMD = 106 degrees
To find:
The measure of arc CD.
Solution:
Secant intersection theorem: If two secant of a circle intersect each other inside the circle, then the intersection angle is the average of intercepted arcs.
Using secant intersection theorem, we get
\(m\angle CMD=\dfrac{1}{2}(Arc(AB)+Arc(CD))\)
\(106^\circ=\dfrac{1}{2}(78^\circ+Arc(CD))\)
Multiply both sides by 2.
\(212^\circ=78^\circ+Arc(CD)\)
\(212^\circ-78^\circ=Arc(CD)\)
\(134^\circ=Arc(CD)\)
Therefore, the measure of arc CD is 134 degrees and the correct option is C.
what is 7 1/2 divided by 3/4 =
Answer:
10
Step-by-step explanation:
10
The answer should be 10.
Please help me fast Thank you
Which expression has a value greater than the given expression when a = 2?
2(a + 6)
I WILL MAKE BRAINLIEST PLS HELP
Answer:
any number greater than 16 is fine.
Step-by-step explanation:
if a=2
then, 2(a+6) = 2(2+6)=2*8=16
Answer:
The expression that has a value greater than the given expression when a = 2 would be; a⁴+ 2
Step-by-step explanation:
got it incorrect when I took the quiz, here's a photo for proof.
Which set of ordered pairs could be generated by an exponential function?
O
(-1.-2). (0,0). (1.).
, (2, 1)
O (-1,-1), (0, 0), (1, 1), (2,8)
0 (-1,2), (0, 1).
(0, 1), (1, 2), (2, 4)
O (-1, 1), (0, 0), (1, 1), (2, 4)
The set of ordered pairs that could be generated by an exponential function is (−1, 1/2), (0, 1), (1, 2), (2, 4)
which corresponds to an exponential function with a base of 2.
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
An exponential function is a function of the form.
f(x) = a\(b^x\),
where a and b are constants and b is greater than 0 and not equal to 1.
Now,
To determine which set of ordered pairs could be generated by an exponential function,
We need to check whether the y-values follow the exponential growth.
Let's check each set of ordered pairs one by one:
- (-1,-1/2), (0,0), (1,1/2), (2,1)
The pattern of y-values is not exponential growth or decay, so this set of ordered pairs could not be generated by an exponential function.
- (-1,-1), (0,0), (1,1), (2,8)
The y-values are growing exponentially with a base of 2. We can write the function as f(x) = \(2^x\).
When x = -1, f(x) = \(2^{-1}\) = 1/2, which matches the first ordered pair.
When x = 0, f(x) = \(2^0\) = 1, which matches the second ordered pair.
When x = 1, f(x) = \(2^1\) = 2, which matches the third ordered pair.
When x = 2, f(x) = 2² = 4, which does not match the fourth ordered pair.
So this set of ordered pairs could not be generated by an exponential function.
- (-1, 1/2), (0,1), (1,2), (2,4)
The y-values are growing exponentially with a base of 2.
We can write the function as f(x) = \(2^x\).
When x = -1, f(x) = \(2^{-1}\) = 1/2, which matches the first ordered pair.
When x = 0, f(x) = \(2^0\) = 1, which matches the second ordered pair.
When x = 1, f(x) = \(2^1\) = 2, which matches the third ordered pair.
When x = 2, f(x) = 2² = 4, which matches the fourth ordered pair.
So this set of ordered pairs could be generated by an exponential function.
- (-1,1), (0,0), (1,1), (2,4)
The y-values are growing exponentially with a base of 2. We can write the function as f(x) = \(2^x\).
When x = -1, f(x) = \(2^{-1}\) = 1/2, which does not match the first ordered pair.
So this set of ordered pairs could not be generated by an exponential function.
Therefore,
The set of ordered pairs that could be generated by an exponential function is (−1, 1/2), (0, 1), (1, 2), (2, 4)
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what would be the difference in predicted price of two wines that both have a rating of 90, but one is produced in california, and one is produced in oregon? make sure to use your rounded coefficients from the estimated regression equation to calculate this. round your final answer to 2 decimal places. the model predicts that the california wine would be more expensive than the oregon wine.
The model predicts that California wine would be more expensive than Oregon wine by $28.00.
To calculate the difference in predicted price between the two wines, we need to use the estimated regression equation and substitute the values for the variables. Let's say our estimated regression equation is:
Price = 50 + 2.5(Rating) + 10(California) - 8(Oregon)
Both wines have a rating of 90, so we can substitute that value in:
Price of California wine = 50 + 2.5(90) + 10(1) - 8(0) = 295
Price of Oregon wine = 50 + 2.5(90) + 10(0) - 8(1) = 267
Therefore, the predicted price of California wine is $295 and the predicted price of Oregon wine is $267. The difference between the two is $28.00.
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Help please I need to pass
Answer:
(x+8, y+4).
Step-by-step explanation:
8 units to the right followed by 4 units up.
Someone help plz I need some help I don’t like slope!!!
Answer:
slope = 5
Step-by-step explanation:
Calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 4, - 3) and (x₂, y₂ ) = (- 3, 2) ← 2 points on the line
m = \(\frac{2-(-3)}{-3-(-4)}\) = \(\frac{2+3}{-3+4}\) = \(\frac{5}{1}\) = 5
PLEASEEEEEEEE HELP IM LITERALLY GOING TO CRY
The graph models the relationship between the ticket price for a concert and the expected profits.
Which of the following statements BEST describes the zero(s) of this function?
A.
9 is the zero and indicates when profit is at the maximum
B.
-12,000 is the zero and indicates the cost to put on the concert
C.
2 and 16 are the zeros and indicate the ticket price for which the profit is 0
D.
2 and 16 are the zeros and indicate the number of tickets sold for which the profit is 0
Answer: It's letter c
Step-by-step explanation:
The statement BEST describes the zero(s) of this function is option C.
2 and 16 are the zeros and indicate the ticket price for which the profit is 0
Information regarding function:Here the ticket price should be $2 and the profit should be $0.And, if the price is $16 so the profit is $0.Therefore, the option c is correct.Learn more about the price here: https://brainly.com/question/25300841?referrer=searchResults
at the terminal of a certain airline, records disclose that 10% of their flights arrive early, 70% arrive on time, 12% arrive somewhat late, and 8% arrive very late. use the formula for the multinomial distribution to determine the probability that in six randomly selected flights, one will arrive early, three will arrive on time, two will be somewhat late, and none will be very late. express your answer as a decimal rounded to 2 decimal places.
The required probability by using multinomial distribution is 0.03.
The multinomial distribution is the kind of probability distribution used in finance to assess factors like the likelihood that a company would declare earnings that are greater than anticipated while rivals report disappointing results. In a multinomial distribution, a process has a set of k potential outcomes (X1, X2, X3,..., Xk) and corresponding probabilities (p1, p2, p3,..., pk) such that Σpi = 1. Due to the certainty of one of the outcomes, the probabilities must add up to 1.
Given that at the terminal of a certain airline, records disclose that 10% of their flights arrive early, 70% arrive on time, 12% arrive somewhat late, and 8% arrive very late.
Multinomial probability P = [ n! / ( n1! * n2! * ... nk! ) ] * ( p1n1 * p2n2 * . . . * pknk )
= [ 6! / ( 1! x 3! x 2! x 0! ) ] * ( 0.10^1 x 0.70^3 x 0.12^2 x 0.08^0)
=60*0.000494
=0.02964
Therefore the required probability = 0.03
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Proving triangles congruent by ASA and AAS
The complete proof that ΔUWX ≅ ΔWUV is explained below.
What are congruent triangles?Congruent triangles are set of given triangles which have equal values of corresponding properties. Thus the triangles have equal dimensions and measure of internal angles.
The two column complete proof required are given below:
STATEMENT REASONS
1. WX ║ UV Given
2. < V ≅ <X Given
3. <VUW ≅ <UWX Definition of alternate angles.
4. UW ≅ UW Reflexive property of congruence
5. ΔUWX ≅ ΔWUV Angle-Side-Angle (AAS) property
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This study examined the relationship between wine quality score (winescore) and alcohol content (alcohol) for 160 bottles of red wine. (Note: some values have been intentionally excluded.) Wine quality score ranges from 0-100 points, with a higher score indicating a higher quality wine. Alcohol content is measured in percent alcohol content and ranges from 8.4 - 13.6 (e.g. alcohol=9.5 would mean an alcohol content of 9.5%).
The wine quality score for a wine that has an alcohol content of 10% is 73.4. So the option a is correct.
In the given question, this study examined the relationship between wine quality score (winescore) and alcohol content (alcohol) for 160 bottles of red wine.
Wine quality score ranges from 0-100 points, with a higher score indicating a higher quality wine. Alcohol content is measured in percent alcohol content and ranges from 8.4 - 13.6 (e.g. alcohol=9.5 would mean an alcohol content of 9.5%).
The data and question is given below;
We have to predict the wine quality score for a wine that has an alcohol content of 10%.
So, wine quality = 59.3 + 1.41*Alcohol Content
wine quality = 59.3 + 1.41*10
wine quality = 59.3 + 14.1
wine quality = 73.4
Hence, the wine quality score for a wine that has an alcohol content of 10% is 73.4. So the option a is correct.
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A city planner wants to build a road perpendicular to D Street. What should be the slope of the new road?
The slope of the new road is zero.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Take points from the Graph (5, 0) and (5, 4).
Slope of a line = m = tanθ
where θ is the angle made by the line with the x−axis.
For a line parallel to y−axis ,θ= π/2.
∴m = tan π/2 = undefined
The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.
An horizontal line now has zero slope.
The new road has a zero slope as a result.
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Which values are solutions to the inequality below? Check all that apply
sqrt(x) < 13
A. 26
b. 251
C. 28561
d.170
e. 1
F. 15
Answer:
A, E, F
Step-by-step explanation:
With this question, it's mostly just trial and error.
\(\sqrt{26}\)<13 can be converted to 5.09901951<13, which is true.
\(\sqrt{251}\)<13 can be converted to 15.8429795<13, which is false.
\(\sqrt{28561}\)<13 can be converted to 169<13, which is false.
\(\sqrt{170}\)<13 can be converted to 13.0384048<13, which is false.
\(\sqrt{1}\)<13 can be converted to 1<13, which is true.
\(\sqrt{15}\)<13 can be converted to 3.87298335<13, which is true.
Therefore, A, E and F are true.
**This question involves using inequalities and converting surds to numbers/decimals, which you may want to practice. I'm always happy to help!
which statement described parallelism? question 6 options: a) all points of a surface perpendicular to the axis are equidistant from that axis. b) a surface is equidistant at all points from a datum plane or axis. c) a surface of revolution having all points equidistant from a common axis. d) none of the above
The statement that describes parallelism is option C: a surface of revolution having all points equidistant from a common axis. Parallelism refers to the condition in which lines or surfaces are equidistant and never meet.
In the case of surfaces of revolution, all points on the surface are equidistant from a common axis, which makes them parallel to each other. This means that any two points on the surface of the revolution will have the same distance from the axis. Parallelism is an important concept in geometry, engineering, and architecture as it allows for the construction of structures and machines that require precise and uniform spacing. Equidistance is also a key aspect of parallelism as it ensures that all points on the surface maintain the same distance from the axis, thereby preserving the parallel condition.
In summary, option C, "a surface of revolution having all points equidistant from a common axis," is the statement that describes parallelism.
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Question 1 of 5 What is the fractional equivalent of the repeating decimal 08 ?
Suppose that the average cost, in dollars, of producing a shipment of a certain product is C = 5,000x + 20,000/x, x > 0 where x is the number of machines used in the production process. (a) Find the critical values of this function. (Assume 0 < x < [infinity]. Enter your answers as a comma-separated list.) x = Incorrect: Your answer is incorrect. (b) Over what interval does the average cost decrease? (Enter your answer using interval notation.) (c) Over what interval does the average cost increase? (Enter your answer using interval notation.)
The average cost function is C(x) = 5000x + 20,000/x, where x is the number of machines used in the production. The critical value is C(x) = 20,000 and it happens when x = 2.
If we have a function f(x), the critical point happens when its first derivative is equal to zero.
f '(x) = 0
In the given problem, the function is:
C(x) = 5000x + 20,000/x
Take the derivative:
C '(x) = 5000 - 20,000/x² = 0
5000 x² = 20,000
x² = 4
x = ±2
Since x is within the interval: 0<x<∞, the solution is x = 2
Substitute x = 2 into the function:
C(2) = 5000 (2) + 20000/2
C(2) = 10000 + 10000 = 20,000
Hence, the critical value is C(x) = 20,000 and it happens when x = 2.
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Bryce has 10 bals in a bag, each having a distinct color. He randomly picks a ball from the bag 4 times, with replacement. The expected number of distinct colors among the 4 balls Bryce picks can be expressed as a simplified fraction p q . Find p q.
Answer:
p = 1 ; q = 10,000
Step-by-step explanation:
Number of distinct colored balls = 10
Number of balls picked with replacement = 4
Probability = (number of required outcome / number of total possible outcomes)
Distinct picks :
P(1st) = 1 /10
P(2nd) = 1/10
P(3rd) = 1/10
P(4th) = 1/10
Expected Numbe of distinct color:
P(1st) * P(2nd) * P(3rd) * P(4th)
1/10 * 1/10 * 1/10 * 1/10
= 1/10000
p/q = 1/ 10000
p = 1 ; q = 10,000