Answer:
Domain
Step-by-step explanation:
The set of input values is called the domain of the function.
Hope I helped! Please mark Brainliest!
Answer: the domain is the set of inputs for a function
so domain.
Drag the correct description to tell whether the graph represents a function.
Answer:
1) Not a function 2) function 3) function
Step-by-step explanation:
Use the vertical line test. If you draw a line on every vertical line on the graph and you see two points, it is not a function.
The graph is shown in options B) and C) represents a function and this can be determined by carefully observing the given graph.
Check all the options in order to determine whether the graph represents a function or not.
A) The graph shows in this option that the two lines are intersecting at (x = 2). Therefore, this graph does not represent a function.
B) The graph shows in this option is in the shape of a parabola whose vertex is at (-2,0). Therefore, this graph does represent a function.
C) The graph shows in this option is in the shape of a wave. This graph may represent a trigonometric function. Therefore, this graph does represent a function.
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Lena rolled two number cubes and recorded the results. What is the experimental probability that the sum of the next two numbers rolled is greater than 5? Please help
Given:
Lena rolled two number cubes and recorded the results.
To find:
The experimental probability that the sum of the next two numbers rolled is greater than 5.
Solution:
If two number cubes rolled, then the total possible outcomes are:
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (21,1), (2,2), (2,3), (2,4), (2,5), (2,6),
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6),
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
Total number of possible outcomes = 36
The possible cases in which the sum is less than or equal to 5 are (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1).
In 10 cases the sum is less than or equal to 5. So, the number of cases in which the sum is greater than 5 is:
\(36-10=26\)
So, the number of favorable outcomes = 26.
Now, the experimental probability that the sum of the next two numbers rolled is greater than 5 is:
\(P=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}\)
\(P=\dfrac{26}{36}\)
\(P=\dfrac{13}{18}\)
Therefore, the required probability is \(\dfrac{13}{18}\).
What are the x-intercepts of the quadratic function? parabola going down from the left and passing through the point negative 2 comma 0 then going to a minimum and then going up to the right through the points 0 comma negative 2 and 1 comma 0 a (0, −2) and (0, 1) b (0, −2) and (0, 2) c (−2, 0) and (2, 0) d (−2, 0) and (1, 0)
The x-intercepts of a quadratic function are the points where the function graph intersects the x-axis. To find the x-intercepts of the given quadratic function, we need to determine the values of x when the y-value (or the function value) is equal to 0.
From the given information, we can see that the quadratic function passes through the points (-2, 0) and (1, 0), which indicates that the function intersects the x-axis at x = -2 and x = 1. Therefore, the quadratic function x-intercepts are (-2, 0) and (1, 0).
The correct answers are (d) (-2, 0) and (1, 0).
TRUE/FALSE. Exponential smoothing with α = .2 and a moving average with n = 5 put the same weight on the actual value for the current period. True or False?
False. Exponential smoothing with α = 0.2 and a moving average with n = 5 do not put the same weight on the actual value for the current period. Exponential smoothing and moving averages are two different forecasting techniques that use distinct weighting schemes.
Exponential smoothing uses a smoothing constant (α) to assign weights to past observations. With an α of 0.2, the weight of the current period's actual value is 20%, while the remaining 80% is distributed exponentially among previous values. As a result, the influence of older data decreases as we go further back in time.On the other hand, a moving average with n = 5 calculates the forecast by averaging the previous 5 periods' actual values. In this case, each of these 5 values receives an equal weight of 1/5 or 20%. Unlike exponential smoothing, the moving average method does not use a smoothing constant and does not exponentially decrease the weight of older data points.In summary, while both methods involve weighting schemes, exponential smoothing with α = 0.2 and a moving average with n = 5 do not put the same weight on the actual value for the current period. This statement is false.
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in a tram, 12% of passengers go without a ticket. what can be the largest number of passengers in the tram, if it is not greater than 60
To find the largest number of passengers in the tram, we need to calculate the maximum number of passengers who can go without a ticket.
Given that 12% of passengers go without a ticket, we can set up the following equation:
12% of x = 60
To solve for x, we can divide both sides of the equation by 0.12:
x = 60 / 0.12
x = 500
Therefore, the largest number of passengers in the tram, if it is not greater than 60, would be 500.
To find the largest number of passengers in the tram, we use the percentage given and set it equal to the number of passengers. By solving for x, we determine that the largest number of passengers in the tram is 500.
The largest number of passengers in the tram, if it is not greater than 60, is 500.
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find the value of each trigonometric ratio
The trigonometric relations from the triangles are
a) tan A = 5/12
b) sin C = 3/5
c) cos X = 3/5
d) sin Z = 4/5
e) tan Z = 4/3
f) tan X = 12/5
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
a)
The triangle is ΔABC
tan A = opposite side / adjacent side
Substituting the values in the equation , we get
tan A = 10/24
tan A = 5/12
b)
The triangle is ΔABC
sin C = opposite side / hypotenuse
Substituting the values in the equation , we get
sin C = 24/40
sin C = 3/5
c)
The triangle is ΔXYZ
cos X = adjacent side / hypotenuse
Substituting the values in the equation , we get
cos X =21/35
cos X = 3/5
d)
The triangle is ΔXYZ
sin Z = opposite side / hypotenuse
Substituting the values in the equation , we get
sin Z = 32/40
sin Z = 4/5
e)
The triangle is ΔXYZ
tan Z = opposite side / adjacent side
Substituting the values in the equation , we get
tan Z = 28/21
tan Z = 4/3
f)
The triangle is ΔXYZ
tan X = opposite side / adjacent side
Substituting the values in the equation , we get
tan X = 12/5
Hence , the trigonometric relations are solved from the triangles
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is this right babes xoxo
Answer:
Step-by-step explanation:
d: 24 + 5√ 30/6, 24 − 5√ 30/6
6x (x - 8) - 29 =
−3x=2
2cos(x)−√3=0
2sin2(x)−sin(x)=0
A color printer prints 30 pages in 11 minutes. How many pages does it print per minute?
Answer:
2.73 pages per minute (rounded to hundredth)
Step-by-step explanation:
30/11 = 2.72727272 pages per minute
.I don't know what your teacher wants in terms of rounding but 2.73 would be rounded to the hundredth place.
Graph the interval represented in inequality notation on the number line.
Number Line:
-12 -10
-8
Submit Answer
x-6
-4 -2
2
4
Click and drag to plot line.
6
8 10 12
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attempt 1 out of a
PLS HELPP!!
The representation of the inequality on the number line is:
←---------------------↓
<-----(-8)---(-7)----(-6)----(-5)-----(-4)----(-3)----(-2)----(-1)-----0----------------->
Here, we have,
given that,
the inequality is: x ≤ -6
here the sign '≤' , represents less than equal to.
so, x is less than equal to -6
i.e. the value of x is -6 or less than -6
so x = { -6, -7, -8,-9,......}
so, representation on the number line is:
←---------------------↓
<-----(-8)---(-7)----(-6)----(-5)-----(-4)----(-3)----(-2)----(-1)-----0----------------->
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Having a(n) __ enables the instructor to observe a skill performance and notice which steps are being done correctly and which are not.
Having a(n) "assessment tool" enables the instructor to observe a skill performance and identify correct and incorrect steps.
An assessment tool is a method or instrument used by instructors to evaluate and assess the performance of students or individuals in a specific skill or task. It provides a structured framework for observing and analyzing the execution of the skill, allowing the instructor to identify which steps are being done correctly and which ones are not.
The assessment tool can take various forms depending on the nature of the skill being assessed. It may involve checklists, rating scales, rubrics, or specific guidelines for evaluating performance. By using the assessment tool, the instructor can systematically observe the individual's actions, compare them to the desired criteria or standards, and provide feedback based on the observations.
Having an assessment tool is beneficial for both the instructor and the learner. It allows the instructor to provide constructive feedback, highlight areas of improvement, and guide the learner towards achieving mastery in the skill. It also enables the learner to understand their strengths and weaknesses, track their progress, and work on refining their performance based on the feedback received.
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Find the slope of a line perpendicular to y = 5/2x +1
A.-2/5
B.2/5
C.-5/2
D. 5/2
Answer:
a-2/5 that the correct anwers
Which statement below is the correct definition for denoting similar objects?
A. Similar objects have congruent angles and congruent sides
B. Similar objects have proportional angles and congruent sides
C. Similar objects have congruent angles and proportional sides.
D. Similar objects have proportional angles and proportional sides
Answer:
C. Similar objects have congruent angles and proportional sides.
Step-by-step explanation:
I took the test.
The correct option regarding the statement will be C. Similar objects have congruent angles and proportional sides.
It should be noted that similar objects are identical. Therefore, similar objects have congruent angles and proportional sides.
It should be noted that they don't have objects have congruent angles and congruent sides.
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Part A: For which value(s) of x does f(x)=x^3/3+x^2+4x−10 have a tangent line of slope 3?
Part B: For z(x)=f(x)h(x), please use the product rule to find z′(3), given f(3)=5,f′(3)=−2,h(3)=1,h′(3)=9.
How would you find these? Thank you steps please also.
Part A: For which value(s) of x does f(x)=x^3/3+x^2+4x−10 have a tangent line of slope 3?
The derivative of f(x) is f'(x)=x^2+2x+4.
The tangent line to f(x) has a slope of 3 when f'(x)=3. This occurs when x^2+2x+4=3. Solving for x, we get x=-1 or x=-2.
Therefore, the values of x for which f(x) has a tangent line of slope 3 are -1 and -2.
Part B: For z(x)=f(x)h(x), please use the product rule to find z′(3), given f(3)=5,f′(3)=−2,h(3)=1,h′(3)=9.
The product rule states that the derivative of a product of two functions is the first function times the derivative of the second function, plus the second function times the derivative of the first function.
In this case, the first function is f(x) and the second function is h(x).
Therefore, z′(x)=f'(x)h(x)+f(x)h'(x).
f(3)=5,f′(3)=−2,h(3)=1,h′(3)=9, we get z′(3)=(−2)(1)+(5)(9)=43.
Therefore, z′(3)=43.
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Solve the system of equations -7x+7y=8 -14x+14y=14
For the given system of equations there is no solution.
The given system of equations are -7x+7y=8 -----(i) and -14x+14y=14 -----(ii).
Multiply equation (i) by 2, we get
-14x+14y=16 -----(iii)
Subtract equation (ii) from equation (ii), we get
-14x+14y-(-14x+14y)=16-14
-14x+14y+14x-14y=2
0≠2
So, the is no solution
Therefore, for the given system of equations there is no solution.
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measurement basis used when a reliable estimate of fair value is not available.
t
f
The measurement basis used when a reliable estimate of fair value is not available is the historical cost basis.
Historical cost basis refers to the original cost of acquiring an asset or incurring a liability. Under this basis, assets are recorded at the amount paid or the consideration given at the time of acquisition, and liabilities are recorded at the amount of consideration received in exchange for incurring the obligation.
This measurement basis is used when a reliable estimate of fair value is not available because fair value requires market prices or observable inputs, which may not be readily available in certain situations. In such cases, historical cost provides a more objective and verifiable measure of an asset's value.
For example, if a company purchases a building for $500,000, the historical cost of the building will be recorded as $500,000 on the balance sheet. Even if the fair value of the building increases or decreases over time, the historical cost will remain unchanged unless there are subsequent events that require a different measurement basis, such as impairment.
In summary, when a reliable estimate of fair value is not available, the historical cost basis is used as a measurement basis to record assets and liabilities at their original acquisition or incurrence cost.
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What is 10+10=? Please Help :P
Answer:
Your Answer is 20
Step-by-step explanation:
Add 1 Side Then The Other!
1 0
+ 1 + 0
= 2 = 0
20
Hopes This Helps :)
Doh! How Did This Hurt My Brian?
Wait What Brain?
Answer:
20 :)
Step-by-step explanation:
1+1=2,
And you add the zero.
is someone online now???
Answer:
Yessss
Step-by-step explanation:
I'm onlineeeee
The table shows the relationship between the diameter in kilometers of an oil spill and the time in days. A quadratic function can be used to model this relationship.What is the best prediction of the time required for the oil spill to reach a diameter of 10 km?
We can use the general form of a quadratic model:
\(y=ax^2+bx+c\)We can find the parameters a, b and c by taking some pair of values from the table, like this:
Let's take the pair (0,0), if we replace these values for y and x into the above model we get:
\(\begin{gathered} 0=a\times(0)^2+b\times(0)+c \\ 0=c \\ c=0 \end{gathered}\)Now let's take the pair (1, 2.4), by replacing these values into the above model for x and y, we get:
\(\begin{gathered} 2.4=a\times(1)^2+b\times(1) \\ 2.4=a+b \end{gathered}\)From this equation, we can solve for a to get:
\(\begin{gathered} 2.4=a+b \\ 2.4-b=a+b-b \\ a=2.4-b \end{gathered}\)By taking the pair (2, 9.4) we get:
\(\begin{gathered} 9.4=a(2)^2+b\times2 \\ 9.4=4a+2b \end{gathered}\)We can replace the expression that we got previously a = 2.4 - b into the above equation to get:
\(9.4=4(2.4-b)+2b\)From this expression, we can solve for b like this:
\(\begin{gathered} 9.4=4(2.4-b)+2b \\ 9.4=9.6-4b+2b \\ 9.4-9.6=9.6-9.6-2b \\ -0.2=-2b \\ -2b=-0.2 \\ b=\frac{-0.2}{-2} \\ b=0.1 \end{gathered}\)Now we can replace it into the equation a = 2.4 - b, then we get:
a = 2.4 - 0.1 = 2.3
Then we get the expression:
\(y=2.3x^2+0.1x\)Now we just have to evaluate 10 km into the equation, then we get:
\(y=2.3\times(10)^2+0.1\times(10)=231\)Then, the best prediction of the time required for the oil spill to reach a diameter of 10 km is 233 days
Choose the equation that shows the relationship of 80%, x, and 100.
Answer:
chipset buy showroom de en inglés
Please help school is ending soon!
Two days later, Kelly surveyed the same 13 classmates and found that none of them had been given math homework since she last surveyed them. By how much does the mean of Kelly’s second data set change in comparison with the mean of the data set in her original survey? Explain how to determine the change in the means without calculating the mean of either data set.
Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.
Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.
In other words, if the mean of the first data set is x, then the sum of the values in the first data set is 13x (since there are 13 classmates), and the sum of the values in the second data set is also 13x (since none of the values have changed). Therefore, the mean of the second data set will also be x, and the change in the means will be zero.
Find the value of x.
in this problem x equals 10
Step-by-step explanation:
jd
Answer:
13
Step-by-step explanation:
Please help me with this thanks
.no lo sé, pero como necesito puntos, ¿sí?
What is the MEAN of the data set below?(0.2,0.8,0.4,0.3,0.4,0.4,0.4,0.8,1.3)
Answer:
5/9
Step-by-step explanation:
we add all of the values and divide by the total number in this case 9, all of them add to make 5 so we do 5÷9 to get 5/9
What is the combined area of the two bases of the following cylinder
The diameter is 12cm and the height is 15cm
A. 452.16cm^2
B. 904.32cm^2
C. 113.04cm^2
D. 226.08cm^2
The graph of the function g (2) is shown below. Use the graph to answer the questions
that follow.
Domain:
A. (-5,4)
B. [-5,4)
C. {z-5≤x≤ 4}
D. {z-5
Range:
A. (-3,3)
B.{y-3≤ y ≤ 3}
C. (-3,3)
D.{y-3
(a) The domain of g (2) is
the list for domain in the table
(b) The range of g (a) is
the list for range in the table
The correct options are C and B:
Domain: {x| -5 ≤ x ≤ 4}
Range: {x| -3 ≤ y ≤ 3}
How to identify the domain and range of the function?
Remember that for a function f(x) = y the domain is the set of the inputs (set of the possible values of x) and the range is the set of the outputs (possible values of y).
To identify the domain we need to look at the horizontal axis. The leftmost value is x = -5, so that is the minimum of the domain.
The rightmost value is x = 4, so that is the maximum of the domain.
Also notice that we have two closed circles, meaning that these values belong to the domain, then:
D: {x| -5 ≤ x ≤ 4}
For the range, we look at the vertical axis.
The lowest value is y = -3, the largest one is y = 3, then the range is:
R: {x| -3 ≤ y ≤ 3}
Then the correct options are C and B
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Two functions are represented below: f(x) = 3x + 2 g(x) = 27-1 Which of the following is true? overequal intervals f(x) is exponential because it grows by equal differences oversequal intervals O g(x) is exponential because it grows by equal differences over equal intervals O f(x) is exponential because it grows by equal factors over equal intervals O g(x) is exponential because it grows by equal factors over equal intervals
Answer: g(x) is exponential because it grows by equal factors over equal intervals
Step-by-step explanation:
7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 and 18 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = { vt ++3 dt Jo Answer 8. g(x) = {* In (1+tº) dt
By using Fundamental Theorem of Calculus, we find the derivative of the function g(x) = In { sqrt( t + t^3)dt } limit from x to 0 is ln(sqrt(x + x^3)). The derivative of the function g(x) = { In (1+t^2) dt} where limit are from x to 1 is ln(1 + x^2).
The Fundamental Theorem of Calculus, which states that if a function is defined as the definite integral of another function, then its derivative is equal to the integrand evaluated at the upper limit of integration.
So, applying this theorem, we have:
g'(x) = d/dx [∫x_0 ln(sqrt(t + t^3)) dt]
= ln(sqrt(x + x^3)) * d/dx (x) - ln(sqrt(0 + 0^3)) * d/dx (0)
= ln(sqrt(x + x^3))
Therefore, g'(x) = ln(sqrt(x + x^3)).
Using the Fundamental Theorem of Calculus, we have:
g'(x) = d/dx [∫1_x ln(1 + t^2) dt]
= ln(1 + x^2) * d/dx (x) - ln(1 + 1^2) * d/dx (1)
= ln(1 + x^2)
Therefore, g'(x) = ln(1 + x^2).
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____The given question is incomplete, the complete question is given below:
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = In { sqrt( t + t^3)dt } limit from x to 0. 8. g(x) = { In (1+t^2) dt} where limit are from x to 1.
Consider two independent continuous random variables X1, X2 each uniformly distributed over [0, 2]. Let Y = max (X1, X2), i.e., the maximum of these two random variables. Also, let Fy (y) be the cumulative distribution function (CDF) of Y. Find Fy (y) where y = 0.72.
The CDF of Y evaluated at y = 0.72 is 0.1296.
Since X1 and X2 are independent and uniformly distributed over [0, 2], their joint density function is:
f(x1, x2) = 1/4, for 0 ≤ x1 ≤ 2 and 0 ≤ x2 ≤ 2
To find the CDF of Y, we can use the fact that:
Fy(y) = P(Y ≤ y) = P(max(X1, X2) ≤ y)
This event can be split into two cases:
X1 and X2 are both less than or equal to y:
In this case, Y will be less than or equal to y.
The probability of this occurring can be calculated using the joint density function:
P(X1 ≤ y, X2 ≤ y) = ∫0y ∫0y f(x1, x2) dx1 dx2
= ∫0y ∫0y 1/4 dx1 dx2
\(= (y/2)^2\)
\(= y^2/4\)
One of X1 or X2 is greater than y:
In this case, Y will be equal to the maximum of X1 and X2.
The probability of this occurring can be calculated as the complement of the probability that both X1 and X2 are less than or equal to y:
P(X1 > y or X2 > y) = 1 - P(X1 ≤ y, X2 ≤ y)
\(= 1 - y^2/4\)
Therefore, the CDF of Y is:
Fy(y) = P(Y ≤ y) = P(max(X1, X2) ≤ y)
= P(X1 ≤ y, X2 ≤ y) + P(X1 > y or X2 > y)
\(= y^2/4 + 1 - y^2/4\)
= 1, for y ≥ 2
\(= y^2/4,\)for 0 ≤ y ≤ 2
To find Fy(0.72), we simply substitute y = 0.72 into the expression for Fy(y):
\(Fy(0.72) = (0.72)^2/4 = 0.1296\)
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Since X1 and X2 are uniformly distributed over [0, 2], their probability density functions (PDFs) are:
fX1(x) = fX2(x) = 1/2, for 0 <= x <= 2
To find the CDF of Y = max(X1, X2), we need to consider two cases:
1. If y <= 0, then Fy(y) = P(Y <= y) = 0
2. If 0 < y <= 2, then Fy(y) = P(Y <= y) = P(max(X1, X2) <= y)
We can find this probability by considering the complementary event, i.e., the probability that both X1 and X2 are less than or equal to y. Since X1 and X2 are independent, this probability is:
P(X1 <= y, X2 <= y) = P(X1 <= y) * P(X2 <= y) = (y/2) * (y/2) = y^2/4
Therefore, the CDF of Y is:
Fy(y) = P(Y <= y) =
0, y <= 0
y^2/4, 0 < y <= 2
1, y > 2
To find Fy(0.72), we substitute y = 0.72 into the CDF:
Fy(0.72) = 0.72^2/4 = 0.1296
Therefore, the value of Fy(y) at y = 0.72 is 0.1296.
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I NEED THIS ANSWER ASAP THIS IS WORTH A LOT OF POINTS PLEASE
Answer:
Step-by-step explanation:
the slope is 1/1
is a parallelogram. is the midpoint of . and trisect .
Let ⃗⃗⃗⃗⃗ = ⃗ and ⃗⃗⃗⃗⃗ = . Show your work on the diagram as well.
Answer:
option 6b):) is correct