Answer:
Step-by-step explanation:
x=4 is a vertical line.
horizontal line through (-6,5): y=5
y=6 is a horizontal line.
vertical line through (-6,5): x=-6
The equation of line parallel to y = -( 1/3 )x + 4 and passing through the point P ( 6 , 5 ) is y = -( 1/3 )x + 7
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = -( 1/3 )x + 4
Let the first point be P ( 6 , 5 )
Slope m = -1/3
The parallel lines have the same slope , so the point-slope form of the equation of a line to find the equation of the line passing through P(6,5) with slope -1/3 is
y - 5 = ( -1/3 ) ( x - 6 )
Adding 5 on both sides , we get
y = ( -1/3 )x + 2 + 5
y = -( 1/3 )x + 7
Hence , the equation of line is y = -( 1/3 )x + 7
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The complete question is attached below :
What is the equation of the line that is parallel to the line y = -1/3x + 4 and passes through the point (6, 5)?
A) y = -1/3x + 3
B) y= -1/3x + 7
C) y= 3x - 13
D) y= 3x + 5
Elyse wants to buy a new softball glove that costs $46.50. She has $15 and plans to save $5.25 each week. How many weeks will it take her to save the money?
Elysa would have to save money for 6 weeks to afford the glove
46.50-15= 31.5/5.25= 6
When ron cycles, his maximum speed is 20 km/h
when ron runs, his maximum is 7 m/s .
which is greater. when he is running or cycling?
and
ron wants to buy 30 tubes of crips
shop a sells
3.99 a tube
buy 2 get 1 free
shop 2
3.99 a tube
20% off
which shop will he pay the least amount of money?
The 7 m/s is greater when he is running and he will pay the least amount of money at shop 1.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
We have:
When Ron cycles, his maximum speed is 20 km/h when Ron runs, his maximum is 7 m/s.
= 20 km/h = 20(1000)/(60×60) m/s
= 5.55 m/s
7 > 5.55
The greater is 7 m/s.
Shop 1
3.99 tube: buy 2 get 1 free
2 tube cost = 2×3.99 = 7.98
Each unit cost = 7.98/3 = 2.66
Shop 2
3.99 a tube with 20% off:
= 20% of 3.99
= (20×3.99)/100
= 0.798
The cost of 1 tube = 3.99 - 0.798 = 3.192
He will pay the least amount of money at shop 1
Thus, the 7 m/s is greater when he is running and he will pay the least amount of money at shop 1.
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On the first day in each month, Enid deposited $4 into her bank account and Jim deposited $3 into his. They opened these accounts on May 15, 1990. On December 31, 1990, they each had $72 dollars in their account. How much did each person deposit on May 15?
Answer:
The amount of money in Enid bank account can be written as a linear equation.
Ye = Xe + $4*m
where Ye is the money that Enid has in her account, m is the number of months that have passed since she opened it, and Xe is the initial deposit.
For Jim, the equation is similar:
Yj = Xj + $3*m
where Yj and Xj are similar as above.
Between May 15 and December 31 of the same year, we have 7 months (where i am counting December because the deposit is made in the first day of the month).
Then we have that:
Ye = $72 = Xe + $4*7 = Xe + $28
Xe = $72 - $28 = $44
So in May 15, Enid deposited $44.
For Jim we have:
Yj = $72 = Xj + $3*7 = Xj + $21
Xj = $72 - $21 = $51
So in May 15, Jim deposited $51.
Construct a 95% confidence interval (1 point) Q-2 (7 Points) 2. Following are three data points on dependent (Y) and one explanatory variable(x). Fit a regression model by minimizing the sum of squared residuals.(s Points) Y X 3 1 5 1 4 3 Yr the herved values, + Ax Yare the fitted values, and are the residuals
It is not possible to provide a precise explanation or calculation for constructing a confidence interval or fitting a regression model in this context.
What are the steps for solving a quadratic equation by factoring?To construct a confidence interval, several key components are needed:
Sample Size: The number of observations or data points in the sample.Sample Mean: The average value of the data points in the sample.Sample Standard Deviation: A measure of the spread or variability of the data points in the sample.Confidence Level: The desired level of confidence, typically expressed as a percentage (e.g., 95%).With these components, a confidence interval can be calculated to estimate the true population parameter (e.g., mean, proportion) within a certain range.
The formula for constructing a confidence interval depends on the specific parameter being estimated and the distribution of the data.
In the case of a regression model, additional information is needed, such as the equation or relationship between the dependent variable (Y) and explanatory variable (X).
This equation is used to estimate the fitted values and residuals.
Fitted values are the predicted values of the dependent variable based on the regression model, while residuals are the differences between the observed values and the fitted values.
Without the specific details of the sample size, mean, standard deviation, and the regression equation.
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Which is the most appropriate rate with which to calculate an answer to his question?
A conservationist determines that a particular beach is eroding at a rate of 1.1% each year. when writing an explicit formula to represent the amount of beach remaining each year, which value should she use as the common ratio? 0.011 0.089 0.989 1.011
Using exponential function concepts, it is found that the common ratio would be given by 0.989.
What is an exponential function?A decaying exponential function is modeled by:
\(A(t) = A(0)(1 - r)^t\)
In which:
A(0) is the initial value.r is the decay rate, as a decimal.1 - r, also as a decimal, is the common ratio.In this problem, the amount decays 1.1% a year, hence:
r = 0.011.1 - r = 1 - 0.011 = 0.989.The common ratio would be given by 0.989.
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Answer: C
Step-by-step explanation:
Trust
Of the 12 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees are women, how many of the possible groups of 4 temporary employees consist of 3 women and 1 man
Answer:
70 possible groupsStep-by-step explanation:
Given the total number of employee to be equal to 12 temporary employee.
Number of women employee = 5 women
Number of men employee = 12 - 5 = 7 men
If 4 will be hired as permanent employees, the possible ways they can be grouped so that the 4 temporary employees consists of 3 women and 1 man can be done by applying the combination formula.
Combination has to do with selection. For example, if r objects are to be selected from n pool of similar objects, this can be done in nCr different ways.
\(nCr = \frac{n!}{(n-r)!r!}\)
According to question, we are to select 3 women from 5 women and 1 man from 7 men. Based on similarity in sex, this can be done in (5C3* 7C1) different ways .
\(5C3 * 7C1\\= \frac{5!}{(5-3)!3!} * \frac{7!}{(7-1)!1!}\\\\= \frac{5!}{2!3!} * \frac{7!}{6!1!}\\\\= \frac{5*4*3!}{3!*2} * \frac{7*6!}{6!*1}\\\\= \frac{20}{2} * \frac{7}{1}\\ \\= 10*7\\\\= 70\ possible\ groups\)
A farmer goes to the market to sell a box of eggs. A clumsy horse steps on the box of eggs and breaks a lot of them. The horse’s rider offers to pay for all of the eggs in the box and asks the farmer how many eggs there were. The farmer does not remember the exact number, but when she took them out of the box two at a time, there was 1 egg left. The same thing happened when she took them out three, four, five and six eggs at a time, but when she took them out 7 at a time, there were no eggs left
The smallest number of eggs that could have been in the box is 1134
The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:
Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:
n ≡ 1 (mod 2)
n ≡ 1 (mod 3)
n ≡ 1 (mod 4)
n ≡ 1 (mod 5)
n ≡ 1 (mod 6)
n ≡ 0 (mod 7)
For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.
Plugging these values into the formula and simplifying modulo 5040, we get:
n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040
n = (−8946) mod 5040
n = (−3906) mod 5040
n = 1134 mod 5040
Therefore, the smallest number of eggs that could have been in the box is 1134
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there are three blue marbles and five yellow marbles. two marbles are selected. what is the probability that both are blue
Answer:
3
8
Step-by-step explanation:
probability= no. of blue marbles
total no. of marbles
= 3
8
–4(5x) please please please
Step-by-step explanation:
-4(5x)-20xAnswer:
-20x
Step-by-step explanation:
Help please help me please
Answer: 1/1 :)
Step-by-step explanation:
assuming the following declaration exists: enum seasons { spring, winter, summer, fall } what is the fully qualified name of the fall constant?
The answer to your question is that the fully qualified name of the fall constant would be "seasons.fall". This is because "seasons" is the name of the enum type, and "fall" is the name of the constant within that type.
To provide a more thorough explanation, an enum is a special type in programming that represents a fixed set of values. In this case, the "seasons" enum has four constants: spring, winter, summer, and fall. Each constant has a name that is unique within the enum type.
To access a specific constant within an enum, you use the syntax "enumName.constantName". In this case, the enum name is "seasons" and the constant name is "fall", so the fully qualified name of the fall constant is "seasons.fall".
Overall, the long answer to your question is that the fully qualified name of a constant within an enum includes both the name of the enum type and the name of the constant itself, separated by a period.
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b) Ellina needs to go up to Level 1 to register. Then, he went up 5 floors to make payment before being required to go down 3 floors to pick up his uniform. Finally, he had to go back up 4 floors to listen to the talk. On what floor was the talk held?
please explain it one by one.tq
Answer:
On the 7th floor
Step-by-step explanation:
0+1+5-3+4
1+5-3+4
6-3+4
3+4
7
Please help me with this translating trigonometry graphs question. Brainliest and Points Available.
Answer:
Hi,
Step-by-step explanation:
a) y=(x+1)² ==> graph C
b) y=x²-1 ==> graph A
c) y=2x² ==> graph B
please help I will give you any award
Answer:
218.57
Step-by-step explanation:
Since it is an isoceles triangle, the sides are 32, 32, and 14.
Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2, we can calculate the area.
(A+B+C)/2 = (32+32+14)/2=39.
A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.
Hope this helps have a great day :)
Check the picture below.
so let's find the height "h" of the triangle with base of 14.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)
Find the 7th term of the geometric sequence 5,-15,45,...
<removed test question answer>
What is the surface area of the cylinder shown?
8 m
5 m
If the radius is 5 and the height is 8:
\(A=2\pi rh+2\pi r2=2*\pi*5*8+2*\pi*5^{2}\) ≈ \(408.41 m\)
If the radius is 8 and the height is 5:
\(A=2\pi rh+2\pi r2=2*\pi*8*5+2*\pi*8^{2}\) ≈ \(653.45m\)
The question here is in the photo, solve for points.
The correct ratio to be able to find x would be B. tan ( x ) = 1 / 2.
How to find x ?In the right angled triangle given, the value of x is an angle and we are given the dimensions that are opposite that angle and adjacent to it. This means that the best operation would be tangent.
The value of x is therefore :
Tan ( angle ) = Opposite / Adjacent
Opposite = 5
Adjacent = 10
The value of x is:
Tan ( x ) = 5 / 10
In simplest form:
Tan ( x ) = 1 / 2
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the set S = [−10, 10]
Define the function g on S
g(x) :=
Does g have a maximum and minimum on the set S? Prove or disprove.
2. Find the global maxima and minima of g on the set S if they exist.
Yes, g has a maximum and minimum on the set S.
Since S is a closed and bounded interval, by the Extreme Value Theorem, any continuous function on S will have both a maximum and minimum value. Therefore, g, defined on S, will have both a maximum and minimum value.
To find the global maxima and minima of g on the set S, we need to analyze the function g(x). However, since no specific function is defined for g, we cannot determine the exact maxima and minima values without further information. We can make some general observations about g(x) on S. Firstly, since S includes both negative and positive values, g(x) could be a piecewise function that changes at x = 0. Secondly, the behavior of g(x) will depend on the specific function used to define it. For example, if g(x) = x^2, then g(x) will have a minimum value of 0 at x = 0 and a maximum value of 100 at x = 10 or x = -10. Similarly, if g(x) = -x^3, then g(x) will have a maximum value of 1000 at x = 10 and a minimum value of -1000 at x = -10.
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g(x) = -x2 + 24
For the function g defined above, what is the value of
g(-4)?
Answer:
\(g(x) = - x\\ g( - 4) = - ( - 4) + 24 \\ g( - 4) = 4 \times 2 + 24 \\ g( - 4) =8 + 24 \\ g( - 4) = 32 \)
NEED ASAP hurry plz
Write a story that would explain the graph below.
Answer:
A kid leaping happily to home after school
The graph represents the relationship between height and time.
Given that,
A curve has been shown we have to explain the behavior of the curve.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
The curve is shown, where the vertical axis represents the height above the ground and the horizontal axis represents the time. Let's assume a plane of paper is flying, the plane getting a rise and then a certain down and again rise and down as according to the height of the plane.
Thus, the graph represents the relationship between height and time.
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Please answer this math question for me
Answer:
Hello! answer: x = 29 and I don't know for sure but I think y = 61 answer that at your own risk though! Hope that helps!
suppose the linear production function for a firm is given by:q = f(k,l,) = 3k 2l.if the firm employs 3 machines and 5 workers, output is equal to
Answer:
Step-by-step explanation:
Q = F(K,L) = 3K+2L.
Which number is equal to 63?
Answer:
63 = 1 x 63, 3 x 21, or 7 x 9. Factors of 63: 1, 3, 7, 9, 21, 63. Prime factorization: 63 = 3 x 3 x 7, which can also be written 63 = 3² x 7.
(a) Given an initial condition for y0, answer the following questions, where yt is the random variable at time t,ε is the error, t is also the time trend in (iii):
(i) find the solution for yt, where yt=yt−1+εt+0.3εt−1.
(ii) find the solution for yt, and the s-step-ahead forecast Et[yt+s] for yt=1.2yt−1+εt and explain how to make this model stationary.
(iii) find the solution for yt, and the s-step-ahead forecast Et[yt+s] for yt=yt−1+t+εt and explain how to make this model stationary.
(i) To find the solution for yt in the given equation yt = yt−1 + εt + 0.3εt−1, we can rewrite it as yt - yt−1 = εt + 0.3εt−1. By applying the lag operator L, we have (1 - L)yt = εt + 0.3εt−1.
Solving for yt, we get yt = (1/L)(εt + 0.3εt−1). The solution for yt involves lag operators and depends on the values of εt and εt−1. (ii) For the equation yt = 1.2yt−1 + εt, to find the s-step-ahead forecast Et[yt+s], we can recursively substitute the lagged values. Starting with yt = 1.2yt−1 + εt, we have yt+1 = 1.2(1.2yt−1 + εt) + εt+1, yt+2 = 1.2(1.2(1.2yt−1 + εt) + εt+1) + εt+2, and so on. The s-step-ahead forecast Et[yt+s] can be obtained by taking the expectation of yt+s conditional on the available information at time t.
To make this model stationary, we need to ensure that the coefficient on yt−1, which is 1.2 in this case, is less than 1 in absolute value. If it is greater than 1, the process will be explosive and not stationary. To achieve stationarity, we can either decrease the value of 1.2 or introduce appropriate differencing operators.
(iii) For the equation yt = yt−1 + t + εt, finding the solution for yt and the s-step-ahead forecast Et[yt+s] involves incorporating the time trend t. By recursively substituting the lagged values, we have yt = yt−1 + t + εt, yt+1 = yt + t + εt+1, yt+2 = yt+1 + t + εt+2, and so on. The s-step-ahead forecast Et[yt+s] can be obtained by taking the expectation of yt+s conditional on the available information at time t.
To make this model stationary, we need to remove the time trend component. We can achieve this by differencing the series. Taking first differences of yt, we obtain Δyt = yt - yt-1 = t + εt. The differenced series Δyt eliminates the time trend, making the model stationary. We can then apply forecasting techniques to predict Et[Δyt+s], which would correspond to the s-step-ahead forecast Et[yt+s] for the original series yt.
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Two factory plants are making TV panels. Yesterday, Plant A produced 3000 fewer panels than Plant B did. Two percent of the panels from Plant A and 5% of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 570 defective panels?
Answer:
9000 panels
Step-by-step explanation:
See attached for detailed explanation.
Remember that percent means division by a 100.
Select all the true statements:
A) Two squares with the same side lengths are always congruent
B) Two rectangles with the same side lengths are always congruent
C) Two rhombuses with the same side lengths are always congruent
D) Two parallelograms with the same side lengths are always congruent
E) Two quadrilaterals with the same side lengths are always congruent
Answer:
A and C
Step-by-step explanation:
A) Two squares with the same side lengths are always congruent
C) Two rhombuses with the same side lengths are always congruent.
Two geometric shapes are called congruent if they have the same size and the same shape.
A square has all four sides equal, therefore two squares with the same side lengths are always congruent in all respect (shape and area). Two rhombuses with the same side lengths are always congruent. Two rectangles are congruent if both of them have the opposite sides are equal. Two parallelograms are said to be congruent if all four corresponding sides are equal in length & one corresponding internal angle is equal.Therefore the true statements are A and C.
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5p(2p-3)(p+7)=0
Please show work!
p=___ so the equation = 0
Answer:
brainliest plss
Step-by-step explanation:
5p(2p-3)(p+7)=0
p=0
(2p-3)=0
(p+7)=0
p=0
p=3/2
p=-7
Answer:
p = 0, p = ³/₂, p = -7
Step-by-step explanation:
\(\boxed{\begin{minipage}{9 cm}\underline{Zero Product Property}\\\\If\; $a \cdot b = 0$ \;then either \;$a = 0$ \;or\; $b = 0$ (or both).\\\end{minipage}}\)
Given equation:
\(5p(2p-3)(p+7)=0\)
Using the Zero Product Property, set each factor equal to zero and solve for p.
Factor 1
\(\begin{aligned}5p&=0\\5p \div 5&=0 \div 5\\p&=0\end{aligned}\)
Factor 2
\(\begin{aligned}2p-3&=0\\2p-3+3&=0+3\\2p&=3\\2p \div 2&=3 \div 2\\p&=\dfrac{3}{2}\end{aligned}\)
Factor 3
\(\begin{aligned}p+7&=0\\p+7-7&=0-7\\p&=-7\end{aligned}\)
Therefore, p = 0, p = ³/₂, p = -7.
ANSWER CORRECT AND GET BRAINLIEST
Answer:
answer 1
Step-by-step explanation:
x^2+4x+7
=(x^2+4X+4)+3
=(x+2)^2+3
The characteristic or value of a population that is under consideration is
called a(n)_____
parameter.
Answer: Population Parameter
The characteristic or value of a population that is under consideration is called a parameter, which represents a numerical summary of the population's attributes or features.
The characteristic or value of a population that is under consideration is called a parameter.
In statistics, a parameter refers to a numerical value that describes a specific characteristic of a population.
It is often used to make inferences or draw conclusions about the entire population based on a sample.
Parameters can include measures such as the population mean, population standard deviation, population proportion, or any other characteristic that helps describe the population of interest.
It is important to distinguish parameters from statistics, which are the corresponding values calculated from a sample and used to estimate or infer the population parameters.
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