The value 4 represents the horizontal transformation from the graph of the function f(x) = x^2 to the graph of the function g(x).
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
We have given that parent function
f(x) = x^2
After translation of the parent function
\(g(x)=(x-4)^2+2\)
The General equation of parabola along y-axis
\(y=(x-h)^2+k\)
The vertex of the function is (h,k).
The given function is an equation of parabola along y-a xis.
By comparing the given function with the general equation of parabola,
The vertex of function f(x) is (0,0).
The vertex of function g(x) is (4,2).
Therefore, h of f(x) is a shift towards the right and then we can get h of g(x) =4.
Hence, the value 4 represents the horizontal transformation from the graph of the function f(x) = x^2 to the graph of the function g(x).
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Answer:
Its 4
Step-by-step explanation:
A specific atom has 10 protons and 10 neutrons. what is the atom's mass number? 0 0 10 10 20 20 100
The total number of protons and neutrons in an atom exists directed as the mass number. The atomic mass number of an atom with 10p and 10 n exists 20.
Which atom has 10 protons and 10 neutrons?The total number of protons and neutrons in an atom's nucleus is known as the mass number. Protons plus neutrons equal mass number.
The neon atom has 10 protons and 10 neutrons with the atomic number 10. It has 10 protons and neutrons inside of its nucleus, along with ten electrons outside, due to its atomic weight of 20.179.
Ne is an inert, colorless noble gas that is also the second-lightest of the noble gases. Due to its distinctive reddish glow, it is frequently utilized in lamps and signs.
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Your friend is willing to pay no more than $17.000 on aneu cor.
The car dealership offers $3.000 cash back for the purchase of a new car. Write an inequality to represent the situation.
Answer:
With rare exceptions, cars decrease in value with age. Depending on other factors, like accidents, repairs, or other damage, the value of a car may decrease even faster. If you borrowed money to buy a car, you might owe more on your car loan than its current value. When that happens, you have negative equity in the car. Some car dealers say you won’t be responsible for the remaining balance on your old car loan when you trade in your old car. But that might not be true. Dealers sometimes just roll over the negative equity into your new car loan, so you still end up paying it.
Step-by-step explanation:
Say you want to trade in your car for a newer model.
Your loan payoff is $18,000
Your car is worth $15,000
You have negative equity of $3,000. That must be paid if you want to trade in your vehicle. If the dealer promises to pay off the $3,000, it shouldn’t be included in your new loan.
But some dealers
add that $3,000 to the loan for your new car
subtract the amount from your down payment
or do both
May someone help me I’ll give you brainiest
Is this the right answer?
Answer:
Hello!
Number 2 and 4 is wrong, other than that everything else is all good.
\(2)\) \(6x^4 - 12x^5 + 90x^1^{3}\)
The Greatest common factor is 6x^4.
The GCF needs to have the smallest exponent from the variables.
The correct answer should be 6x^4 ( 1 - 2x + 15x^9)
\(4)\) \(x^2 - 36\)
x (x - 36) is wrong because if we use the distributive property, the answer would be x^2 - 36x. Notice that there shouldn't be a variable multiplying 36.
The correct answer would be (x - 6)(x + 6)
x^2 + 6x - 6x - 36
x^2 - 36.
Hope this helps!
wx+wz = -3; solve for w.
Please show work
If the equation is wx + wz = -3, then the value of w = -3 / (x + z)
The equation is given that
wx + wz = -3
The equation is defined as the mathematical statement that show the relationship between two expression with an equal sign. The inequality cannot be the part of equation. It consist of mathematical operators, different types of variable and numbers .
The equation is
wx + wz = -3
Take common term outside from the equation
w(x+z) = -3
Move the (x+z) to the right hand side of the equation
w = -3 / (x+z)
Hence, if the equation is wx + wz = -3, then the value of w = -3/(x+z)
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Describe the effect the change in scale has on what the graph suggests. a. On graph B, the group of birds seems to have twice as much as the group of mammals. b. The differences between the groups seems much less in Graph A. c. The differences between the groups seems much less in Graph B. d. On graph A, the group of mammals seems to have one-quarter as much as the group of fish. Please select the best answer from the choices provided
The effect that the change in scale has on what the graph suggests is C. The differences between the groups seems much less in Graph B.
What is a graph?It should be noted that graph simply means a diagram that's used to show the information about a data given.
Here, the effect that the change in scale has on what the graph suggests is that the differences between the groups seems much less in Graph B.
Therefore, the correct option is C.
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Solve x3 = 125 over 27
in a fraction please
Answer:
125 over 81
Step-by-step explanation:
x3= 125 over 27
Divide both sides by 3, you get:
x=125 over 81
Thats it lol
Answer:
Step-by-step explanation:
Alexander built a toy box in the shape of a rectangular prism with an open top. The diagram below shows the toy box and a net of the toy box.
What is the surface area, in square centimeters, of the toy box?
A = ___?___ cm 2
The surface area of the toy box is; 712 square centimeters.
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given that Alexander built a toy box in the shape of a rectangular prism with an open top.
The top and bottom faces have areas;
14 cm × 10 cm = 140 cm² each.
The front and back faces have areas ;
14 cm × 9 cm = 126 cm² each.
The left and right faces have areas;
10 cm × 9 cm = 90 cm² each.
Therefore, the total surface area is:
2(140 cm²) + 2(126 cm²) + 2(90 cm²)
= 280 cm² + 252 cm² + 180 cm² = 712 cm²
So, the surface area of the toy box is 712 square centimeters.
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can you solve this for me
Answer:
A) 35 in
Step-by-step explanation:
Area of rhombus is equal to product of its diagonals divided by 2.
(10in * 7in)/2 = 35in
Answer:
The answer would be D 70 inches
Step-by-step explanation:
The formal to find a roumbus is A= b x h
So 10 times 7 is 70
hoped that helped:P
Question 15 (1 point) Is this ratio statement ture or false? 4.5 and 16:18 OTrue O False
Answer:
False
Step-by-step explanation:
It's just false. I don't know how to explain but next it'd be 8:10, 12:15, and then 16:20, which never goes to 16:18 so it is false.
The sum of the height and the radius of the base of a
cylinder is 34 cm. If the total surface area of the cylinder is
2992 cm, find the radius of its base.
Answer:
h+r=34
r=34-h.....1
total surface area=2πr(r+h)
2992=2πr×34
2992/34=2πr
88/2=22/7×r
44×7/22=r
r=2×7=14cm
You go to the store to buy a pair of pants. The tag on the pants says "Now $65.60, was $82.00!" What is the percent of discount?
Answer:
20%
Step-by-step explanation:
Braden logged 3 2/3 hours last week in his reading journal and 2 3/6 hours last week how many fewer hours did Brayden log in his reading journal this week then last week
Answer:
1 1/6
Step-by-step explanation:
im guessing you need this fast so i wont explain it
What is the ratio of 11 cats to 2 dogs?
Step-by-step explanation:
Ratio is dividing ( over ) of 2 no. but it must be in the same unit so our given unit is cat and dog .
So it doesn't has ratio but if it has 11:2 is their ratio .
help please no links or random things thank you!!
Answer:
x=113
Because this is a Vertical angel hope this helps
Can someone please help me? I'm desprate.
A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472.
Find the substance’s half-life, in days. Round your answer to the nearest tenth.
A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.
The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:
t = (0.693 / k)
where t is the half-life and k is the decay constant.
In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.
t = (0.693 / 0.1472) ≈ 4.7 days
Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.
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how many cubic centimeters are in 2.11 yards^3
Answer: 2.11 yd³ = 1613210.750364 cm³
Step-by-step explanation:
Answer:
Step-by-step explanation:
To convert cubic yards to cubic centimeters, you can use the following conversion factors:1 yard = 91.44 centimeters
1 cubic yard = (91.44 centimeters) x (91.44 centimeters) x (91.44 centimeters) = 7,645,549.23 cubic centimetersTherefore, to convert 2.11 cubic yards to cubic centimeters, you can multiply it by the conversion factor:2.11 cubic yards x 7,645,549.23 cubic centimeters/cubic yard ≈ 16,120,247.02 cubic centimetersSo, 2.11 yards^3 is approximately equal to 16,120,247.02 cubic centimeters.
A snail is traveling along a straight path. The snail's velocity can be modeled by v(t) = 1.4 In 1 +r?) inches per minute for 0 Sis 15 minutes. (a) Find the acceleration of the snail at time t = 5 minutes. (b) What is the displacement of the snail over the interval 0 Sis 15 minutes? (c) At what time 1, OSIS 15, is the snail's instantaneous velocity equal to its average velocity over the interval OSIS 15 ? (d) An ant arrives at the snail's starting position at time i = 12 minutes and follows the snail's path. During the interval 12 s1 s 15 minutes, the ant travels in the same direction as the snail with a constant acceleration of 2 inches per minute per minute. The ant catches up to the snail at time t = 15 minutes. The ant's velocity at time 1 = 12 is B inches per minute. Find the value of B.
The acceleration of the snail at time t=5 minutes can be found by taking the derivative of the velocity function v(t) with respect to time t. When the ant catches up to the snail at time t = 15, their displacements are equal, so we have s(15) - s(12) = v_ant(12)(15-12).
(a) The acceleration of the snail at time t=5 minutes can be found by taking the derivative of the velocity function v(t) with respect to time t. Thus, we have a(t) = v'(t) = 1.4/(1+e^(1.4t))^2 * 1.4 = 1.96/(1+e^(1.4t))^2 evaluated at t=5. Plugging in t=5, we get a(5) = 0.0935 inches per minute per minute.
(b) The displacement of the snail over the interval 0 <= t <= 15 minutes can be found by integrating the velocity function v(t) with respect to time t. Thus, we have s(t) = ∫v(t)dt = 1.4ln(1+e^(1.4t)) evaluated from t=0 to t=15. Plugging in these values, we get s(15) - s(0) = 9.335 inches.
(c) To find the time t when the snail's instantaneous velocity equals its average velocity over the interval 0 <= t <= 15 minutes, we need to solve the equation v(t) = (s(15)-s(0))/15. Substituting the expressions for v(t) and s(t), we get 1.4ln(1+e^(1.4t)) = 0.6223t + 0.6223. This equation cannot be solved analytically, so we can use numerical methods to approximate the solution.
(d) Since the snail and ant are traveling in the same direction, the displacement of the ant over the interval 12 <= t <= 15 minutes is equal to the displacement of the snail over the same interval. Thus, we can use the same formula for s(t) as in part (b). We know that the ant has a constant acceleration of 2 inches per minute per minute, so its velocity at time t = 12 is given by v_ant(12) = B + 2(12-12) = B. When the ant catches up to the snail at time t = 15, their displacements are equal, so we have s(15) - s(12) = v_ant(12)(15-12). Substituting the expressions for s(t) and v_ant(12), we get 1.4ln(1+e^(1.415)) - 1.4ln(1+e^(1.412)) = 3B. Solving for B, we get B = (1.4ln(1+e^(21))-1.4ln(1+e^(16)))/3.
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A school trip to a museum cost $2,056. A total of 125 chaperones and students went on the trip. Adult admission to the museum costs $23, and student admission costs $16. How many chaperones and students went to the museum?
Answer:
8 adults and 117 studentsStep-by-step explanation:
Set the following equations based on the question:
c + s = 12523c + 16s = 2056Solve the system by elimination, multiply the first equation by 23 and subtract the second one:
23c + 23s - 23c - 16s = 23*125 - 20567s = 819s = 819/7s = 117Find the value of c:
c + 117 = 125c = 8Answer:
Chaperones = 8 and Student = 117
Step-by-step explanation:
Let,
Chaperones = x
Student = y
x + y = 125
=> x = 125 - y (1)
23x + 16y = 2056
=> 23(125 - y) + 16y = 2056
=> 2875 - 23y + 16y = 2056
=> 2875 - 7y = 2056
=> 2875 - 2056 = 7y
=> 819 = 7y
=> 819/7 = y
=> 117 = y
From 1
=> x = 125 - 117
=> x = 8
Please provide a detailed answer.
I. Why is serial correlation often present in time series
data?
II. Why is the presence of serial correlation in the residual a
problem?
A) Serial correlation is often present in time series data because it arises from the inherent nature of the data
B) The presence of serial correlation in the residual is a problem because it violates one of the assumptions of linear regression analysis, which is the assumption of independent and identically distributed (IID) errors.
I. Serial correlation is often present in time series data because it arises from the inherent nature of the data. Time series data refers to observations collected over time, where each observation is dependent on previous observations. This dependence can result in a pattern of correlation or relationship between consecutive data points.
One common reason for serial correlation in time series data is seasonality. Seasonality refers to the repetitive pattern or trend that occurs within a specific time period. For example, sales of ice cream may increase during the summer months and decrease during the winter months. This pattern of seasonality can create a correlation between consecutive observations within the same season.
Another reason for serial correlation is autocorrelation. Autocorrelation occurs when there is a correlation between an observation and its lagged values, meaning the previous observations. For example, if the stock price of a company is increasing over time, it is likely to exhibit positive serial correlation as each observation is influenced by the previous price.
II. The presence of serial correlation in the residual is a problem because it violates one of the assumptions of linear regression analysis, which is the assumption of independent and identically distributed (IID) errors. In linear regression, the residuals represent the unexplained variation in the dependent variable after accounting for the effects of the independent variables.
When serial correlation exists in the residuals, it means that the errors in the model are not independent and are related to each other. This violates the IID assumption and can lead to biased and inefficient estimates of the regression coefficients. In other words, the estimated coefficients may not accurately represent the true relationship between the independent and dependent variables.
Additionally, serial correlation in the residuals can affect the statistical significance of the regression model. If the residuals are serially correlated, the standard errors of the regression coefficients may be underestimated, leading to inflated t-values and p-values. As a result, variables that are actually not significant may appear to be significant in the presence of serial correlation.
To address the problem of serial correlation in the residuals, various techniques can be applied, such as transforming the data, including lagged variables in the model, or using time series analysis methods. These techniques aim to account for the dependence structure in the data and produce reliable estimates of the regression coefficients.
In summary, serial correlation is often present in time series data due to the inherent dependence between consecutive observations. However, its presence in the residuals of a regression model can be problematic as it violates the assumption of IID errors and can lead to biased estimates and incorrect statistical inferences. Proper techniques should be employed to address serial correlation and ensure the validity of the regression analysis.
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on the south side of the building, the first quartile is 43cm, the median is 46cm, and the third quartile is 48cm. if she goes to the south side and randomly selects three daffodils, what is the probability that none of them are between 46cm and 48cm?
Around 50% to 75% of the daffodils on the south side of the building are not between 46cm and 48cm.
What is probability?Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.
Here,
This question asks for the probability that none of the three daffodils selected from the south side of the building are between 46cm and 48cm.
Since the median of the data is 46cm
the third quartile is 48cm,
this means that about 50% to 75% of the daffodils on the south side of the building are between 46cm and 48cm.
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HELP ASAP 10 POINTS AND BRAINLIST 5 STAR AND THANKS BUT IF CORRECT
Answer:
14/3
Step-by-step explanation:
3 1/3 x 1 2/5 = 10/3 x 7/5
10/3 x 7/5 = 70/15, which simplifies to 14/3.
Sally decides to buy quarts of ice cream at $5 each and boxes of pizza at $10 each for her softball team.
Part 1) Write an algebraic expression that represents the total cost of the food if Sally buys x quarts of ice cream and y boxes of pizza.
Part 2) What is the total cost of Sally’s purchase if x=4 and y=5? Be sure to show your work.
Answer:
5x + 10y
5*4 + 10*5
20+50 = $70
Step-by-step explanation:
Evaluate 8 - m/n + p2 when m = 8, n = 2, p=7
Answer:
8-m/n+p^3= 8-8/2+7^2 sub in the numbers for the variables
(8-8)/2+7^2 Exponents
(8-8)/2+49 add the denominators together
(8-8)/60 subtract 8-8
0/60 is the answer (which doesn't seem right to me)
Step-by-step explanation:
Use the graph of f to estimate the local maximum and local minimum. (5 points)
A piecewise graph is shown with a line increasing to 0,-2 terminating at that point and a curve starting at 0,0 and intercepting the x axis at 0, pi, and 2pi.
a) Local maximum: (0,-2); local minimum: (0,0) and (π,0)
b) Local maximum: pi ; local minimum: three pi over two, negative 1
c) Local maximum: (0,0) and pi over two, 1 ; local minimum: (0,0) and three pi over two, negative1
d) Local maximum: (0,0) and pi over two,1 ; local minimum: three pi over two, negative1
The estimated local maximums are (0,-2) and (0,π), and the estimated local minimums are (0,0) and (0,2π).
The graph of f consists of two parts: a line increasing to (0,-2) and a curve starting at (0,0) and intercepting the x-axis at (0, π, and 2π). To estimate the local maximum and local minimum of the graph, we need to look for points where the function changes direction.For the line segment, the graph is increasing until it reaches (0,-2). This point can be considered a local maximum because the graph starts decreasing afterward.
For the curve, we have points at (0,0), (0, π), and (0, 2π). At (0,0), the graph is flat and does not change direction, so it is considered a local minimum.
At (0,π), the graph changes direction from increasing to decreasing, making it a local maximum.Similarly, at (0, 2π), the graph changes direction from decreasing to increasing, which means it is also a local minimum.Therefore, the estimated local maximums are (0,-2) and (0,π), and the estimated local minimums are (0,0) and (0,2π).
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Megan creates a scale drawing of a car. The ratio of her scale drawing length to actual car
length is 3 cm : 2 m. The length of the car in her drawing is 6 cm.
Ivan draws a scale drawing of the same car. His ratio of scale drawing length to actual car
length is 2 cm : 1m.
What is the length of the car in Ivan's scale drawing?
Answer : 12cm
Step-by-step explanation:
Answer:
im thinking its 12
Step-by-step explanation:
because if you
multiply 3cm : 2m = 6
multiply 2cm : 1m = 2
then multipy 6x2 wich gives you 12
so l really dont know
Cedric needs to find the surface area of the triangular prism.There is a piece of information missing you need to find it before you can solve this problem.
The total surface area is the sum of:
The Area of the rectangle on the base (36*40) = 1440 cm^2
Two triangles rectangles on the sides: 2*(36*27)/2 = 972 cm^2
One rectangle on the back of the figure: (40*27) = 1080 cm^2
And finally a inclined rectangle of base 40 and side we don't know but we can calculate: the side of this rectanlge is the hypotenuse ot the triangle rectangle of the side, so
\(\text{hypotenuse = }\sqrt[]{36^2+27^2\text{ }}\text{ =}\sqrt[]{1296+729}=\sqrt[]{2025}=45\)Therefore the area of the inclined rectangle is (40*45) = 1800 cm^2
Total area = 1440+972+1080+1800 = 5292 cm^2
Answer:
5292 cm^2
Macy’s was offering a Memorial Day sale. The price of a shirt is now $21.25. The original price was $25. What is the percent of change from the original to the sale price?
Answer:
The original price drops by 15%.
Step-by-step explanation:
What was the drop in price? To answer that, subtract $21.25 from $25, which results in $3.75.
Now compare $3.75 to the original price, $25, through division, as follows:
$3.75
-------------- * 100% = 15%
$25
The original price drops by 15%.
Solve by substitution y= -2x - 1 3x -4y = -51
Answer:
(- 5, 9 )
Step-by-step explanation:
y = - 2x - 1 → (1)
3x - 4y = - 51 → (2)
substitute y = - 2x - 1 into (2)
3x - 4(- 2x - 1) = - 51 ← distribute parenthesis on left side and simplify
3x + 8x + 4 = - 51
11x + 4 = - 51 ( subtract 4 from both sides )
11x = - 55 ( divide both sides by 11 )
x = - 5
substitute x = - 5 into (1)
y = - 2(- 5) - 1 = 10 - 1 = 9
solution is (- 5, 9 )