Answer:
The required line can be found by substituting the slope and the given point in the slope intercept form of a line and is given by y=mx+c, where m is the slope and c is the y intercept.
Step-by-step explanation:
In the given question, it is given that a linear function passes through a given point.It is required to find a line parallel to the function.When two functions are parallel, their slopes are equal.Thus, substitute the slope and the given point in the slope intercept form of a line and is given by y=mx+c, where m is the slope and c is the y intercept.The equation of a parallel line to a linear function that passes through a point can be explained using the examples below.
We have,
The parallel line to a linear function that passes through a point can be explained using the examples below.
Example:
Let's find a line parallel to the linear function y = 3x - 2 that passes through the point (2, 5).
Step 1: Given linear function and point
Linear function: y = 3x - 2
Point: (2, 5)
Step 2: Determine the slope of the given linear function
The slope (m) of the given function y = 3x - 2 is 3.
Step 3: Use the slope to find the equation of the parallel line
Since the parallel line has the same slope (3), its equation will be
y = 3x + b, where "b" is the y-intercept that we need to find.
Step 4: Substitute the coordinates of the given point into the equation of the parallel line
Using the coordinates (2, 5) of the given point, we can solve for "b":
5 = 3(2) + b
5 = 6 + b
b = 5 - 6
b = -1
So, the equation of the line parallel to y = 3x - 2 and passing through the point (2, 5) is:
y = 3x - 1.
Thus,
The equation of a parallel line to a linear function that passes through a point can be explained using the examples above.
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Please help!!!!!!!!!!!!!
Review the table of values for function j(x) = StartFraction x squared minus 7 x minus 8 Over x squared minus 4 x minus 32.
x j(x)
7.9 0.747899
7.99 0.749791
7.999 0.749979
8 undefined
8.001 0.750021
8.01 0.750208
8.1 0.752066
What is Limit of j (x) as x approaches 8, if it exists?
0.375
0.75
8
DNE
Answer:
B: 0.75
Step-by-step explanation:
Edge
Answer:
.75
Step-by-step explanation:
Unit Test
Solve the following equation for a. Be sure to take into account whether a letter is
capitalized or not.
ga+q=r
Answer:
a = \(\frac{r-q}{g}\)
Step-by-step explanation:
Given
ga + q = r ( subtract q from both sides )
ga = r - q ( isolate a by dividing both sides by g )
a = \(\frac{r-q}{g}\)
Will mark branilest!!!
Answer:
You could use 13+2x=t
x=number of weeks. t=total
Graph the system of equations. y = 2x y = –x + 6 Two lines on a coordinate plane that intersect at the point 2 comma 4. One line has y intercept 0 and the other has y intercept 6. Two lines on a coordinate plane that intersect at the point negative 2 comma negative 4. One line has y intercept 0 and the other has y intercept negative 6. Two lines on a coordinate plane that intersect at the point 1 comma 2. One line has y intercept 0 and the other has y intercept 3. Two lines on a coordinate plane that intersect at the point 3 comma 3. One line has y intercept 0 and the other has y intercept 6.
The solution to the systems of equations graphically is (2, 4)
Solving the systems of equations graphicallyFrom the question, we have the following parameters that can be used in our computation:
y = 2x
y = -x + 6
Next, we plot the graph of the system of the equations
See attachment for the graph
From the graph, we have solution to the system to be the point of intersection of the lines
This points are located at (2, 4)
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value of the expression below when x
10?
6x - 5
Answer:
55
Step-by-step explanation:
So we have the expression:
\(6x-5\)
And we want to find the value when x is 10. So, substitute 10 for x:
\(=6(10)-5\)
Multiply:
\(=60-5\)
Subtract:
\(=55\)
And we're done!
Suppose a person offers to play a game with you. In this game, when you draw a card from a standard 52-card deck, if the card is a face card you win $2, and if the card is anything else you lose $1. If you agree to play the game, what is your expected gain or loss (in dollars) per game
The expected loss per game is approximately -$0.31.
The terms we need to consider in this problem are: standard 52-card deck, face cards, and expected gain or loss.
To find the expected gain or loss per game, follow these steps:
1. Determine the probability of drawing a face card.
There are 12 face cards (Kings, Queens, and Jacks) in a standard 52-card deck. So the probability of drawing a face card is \(\frac{12}{52}\), which simplifies to \(\frac{3}{13}\).
2. Determine the probability of drawing a non-face card.
There are 40 non-face cards in the deck (52 cards - 12 face cards). So the probability of drawing a non-face card is \(\frac{40}{52}\), which simplifies to \(\frac{10}{13}\).
3. Calculate the expected gain or loss per game.
Expected gain or loss = (Probability of drawing a face card x gain from drawing a face card) + (Probability of drawing a non-face card x loss from drawing a non-face card)
4. Simplify the equation.
Expected gain or loss = \((\frac{3}{13} (2)) + (\frac{10}{13} (-1))\)
Expected gain or loss = \(\frac{-4}{13}\)
Your expected loss per game is approximately -$0.31 (rounded to two decimal places).
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Find all missing angles.
The angles in the triangle are as follows:
m∠1 = 51 degrees
m∠2 = 33 degrees
m∠3 = 123 degrees
m∠4 = 24 degrees
How to find the angles of a triangle?The sum of angles in a triangle is 180 degrees. A right angle triangle is a triangle with one of its angles as 90 degrees.
Therefore, let's find the missing angle of the triangle.
Hence,
m∠1 = 180 - 72 - 57(sum of angles in a triangle)
m∠1 = 51 degrees
m∠2 = 90 - 72
m∠2 = 33 degrees
m∠3 = 180 - 57(sum of angles on a straight line)
m∠3 = 123 degrees
m∠4 = 180 - 123 - 33
m∠4 = 24 degrees
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Find the exact value of the following. -3(1.2) ^2 =
Answer:
-4.32 would be the answer
i hope this helps you
You work as a server at a restaurant.
You earn $200 in a week, plus an
average of 15% of your sales in tips.
How much food must you sell in
order to make at least $470 this week?
Answer:
It would have saved 445$
Explanation: because for 4 weeks he saved 35% of 200$ which would be 70 and 70+70+70+70 280$ and the he saved 175$ on the fifth week because 7/8 of 200 is 175 so 280+175 is 445
Step-by-step explanation:
Eevaluate the integral. (use c for the constant of integration.) ∫ 2tan^4(x) sec^6(x) dx
Putting it all together, we get:
∫ 2tan^4(x) sec^6(x) dx = (2/5)tan^5(x) - (2/3)tan^3(x) + 4sec^3(x) - 4sec^2(x) + C
To evaluate this integral, we can use the substitution u = sec(x), which means du/dx = sec(x)tan(x) and dx = du/u^2.
Using this substitution, we can rewrite the integral as:
∫ 2tan^4(x) sec^6(x) dx = ∫ 2tan^4(x) sec^4(x) * sec^2(x) dx
= ∫ 2tan^4(x) (u^2 - 1)^2 du/u^2
Expanding (u^2 - 1)^2 and simplifying, we get:
∫ 2tan^4(x) (u^4 - 2u^2 + 1) du/u^2
= ∫ 2tan^4(x) u^2 du - ∫ 4tan^4(x) du + ∫ 2tan^4(x) du/u^2
The first integral can be evaluated using u = sec(x), giving:
∫ 2tan^4(x) u^2 du = ∫ 2(sec^2(x) - 1) tan^4(x) sec(x)tan(x) dx
= ∫ 2(sec^2(x) - 1) tan^5(x) dx
= (2/5)tan^5(x) - (2/3)tan^3(x) + C
The second integral can be simplified using the identity tan^2(x) = sec^2(x) - 1, giving:
∫ 4tan^4(x) du = ∫ 4(tan^2(x))^2 du = ∫ 4(sec^2(x) - 1)^2 du
= ∫ 4(u^2 - 2u + 1) du = 4u^3/3 - 4u^2 + 4u + C
Finally, the third integral can be evaluated using the substitution w = tan(x), which means dw/dx = sec^2(x) and dx = dw/sec^2(x).
Using this substitution, we get:
∫ 2tan^4(x) du/u^2 = ∫ 2w^4 dw
= (2/5)tan^5(x) + C
Putting it all together, we get:
∫ 2tan^4(x) sec^6(x) dx = (2/5)tan^5(x) - (2/3)tan^3(x) + 4sec^3(x) - 4sec^2(x) + C
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The area of a sector with a radius of 8 in. is 74.84 sq. in. Calculate theapproximate angle of the sector.The approximate central angle of the sector is [ang].
Given:
The area of a sector, A=74.84 sq. in.
The radius of the sector, r=8 in.
Now, the expression for the area of a sector can be written as,
\(A=\frac{\theta}{360^{\circ}}\times\pi r^2\)Here, θ is the central angle in degrees.
Rearrange the above equation and substitute values to find the angle θ.
\(\begin{gathered} \theta=\frac{A}{\pi r^2}\times360^{\circ} \\ =141^{\circ} \end{gathered}\)A rhombus, PQRS, has vertices at the points P(6, 2), Q(7,4), R(6, 6) and S(5, 4). PQRS is translated 3 squares left and 2 squares down. The image of PQRS is P'Q'R'S'. Work out the coordinates of the vertices of P'Q'R'S'.
Answer:
P': (3, 0)
Q': (4, 2)
R': (3, 4)
S': (2, 2)
Step-by-step explanation:
A rhombus, PQRS, has vertices at the points P(6, 2), Q(7, 4), R(6, 6) and S(5, 4). PQRS is translated 3 squares left and 2 squares down.
Rule: (x - 3, y - 2)
1. Using the given rule, find the new coordinates of the new image:
P': (6, 2) ➺ (6 - 3, 2 - 2) ➺ (3, 0)
Q': (7, 4) ➺ (7 - 3, 4 - 2) ➺ (4, 2)
R': (6, 6) ➺ (6 - 3, 6 - 2) ➺ (3, 4)
S': (5, 4) ➺ (5 - 3, 4 - 2) ➺ (2, 2)
New coordinates:
P': (3, 0)
Q': (4, 2)
R': (3, 4)
S': (2, 2)
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Write the equation for a line containing the point (0,2) and a slope of -7 (y=mx+b)
Answer:
\(y=-\frac{7}{1}x+2\)
Step-by-step explanation:
The slope of -7=
\(-\frac{7}{1}\)
so fractional slope is
\(y=mx+b\)
Substituting slope into a fraction,
\(y=-\frac{7}{1} x+b\)
Point is 0,2 so substitute in x and y.
\(2=-\frac{7}{1} (0)+b\)
Solve the equation.
\(b=2\)
So the equation for the line is
\(y=-\frac{7}{1}x+2\)
Hope this helps :D
a major credit card company has determined that customers charge between $300 and $1500 per month. the monthly amount charged is uniformly distributed. find the standard deviation of the monthly amount charged. (round to four decimal places if needed)
The standard deviation of the monthly amount charged is 346.41
Step 1: Identify the values of a and b, where [a , b] is the interval over which the continuous uniform distribution is defined.
Since it takes between 300 and 1500 minutes to be seated at the restaurant, we have:
a = 300
b = 1500
Step 2: Calculate the variance using the formula Var(x) = \(\frac{(b-a)^{2} }{12}\)
Using the formula for the variance and the values identified in step 1
(a = 300 , b = 1500), we have:
Var(x) = \(\frac{(b-a)^{2} }{12}\)
= \(\frac{(1500 - 300)^{2} }{12}\)
= 1440000/12
= 120,000
the variance is 120,000
Step 3: Calculate the standard deviation by taking the square root of the variance. σ = \(\sqrt{Var(x)}\)
The standard deviation is the square root of the result from step 2 (variance = 120,000)
σ = \(\sqrt{Var(x)}\)
σ = \(\sqrt{120000}\)
= 346.41
The standard deviation of the monthly amount charged is 346.41
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I will mark you brainlist!
Lisa is building a shelf, she will cut a 62.5 inch long board into 5 equal pieces. How many inches will each piece be?
in a group 20 children 60 % have blue eyes and 35 % have brown eyes how many children have brown eyes . SHOW UR WORKING OUT PLZ THANK U ❤❤❤
Answer:
7 children have brown eyes
Step-by-step explanation:
20*.35=7
Answer:
7 children have brown eyes
Step-by-step explanation:
can i get brainliest please?
Plot the vector field F(x,y)=(xy,x+y^2) Calculate divF.
Determine where divF>0 and where divF<0.
The divergence of the vector field F is positive for y > -1/3 and negative for y < -1/3.
To plot the vector field F(x, y) = (xy, x + y^2), we can first visualize the vectors at various points in the xy-plane. Let's choose a range of values for x and y and calculate the corresponding vectors. We'll use a step size of 1 for simplicity.
Here is a sample grid of points and their corresponding vectors:
(x, y) = (-2, -2) -> F(-2, -2) = (4, 2)
(x, y) = (-1, -2) -> F(-1, -2) = (2, 2)
(x, y) = (0, -2) -> F(0, -2) = (0, 2)
(x, y) = (1, -2) -> F(1, -2) = (0, 2)
(x, y) = (2, -2) -> F(2, -2) = (4, 2)
(x, y) = (-2, -1) -> F(-2, -1) = (2, 1)
(x, y) = (-1, -1) -> F(-1, -1) = (1, 1)
(x, y) = (0, -1) -> F(0, -1) = (0, 1)
(x, y) = (1, -1) -> F(1, -1) = (0, 1)
(x, y) = (2, -1) -> F(2, -1) = (2, 1)
... and so on for other values of y and for positive values of y.
To calculate the divergence (divF) of the vector field, we need to find the partial derivatives of the components of F with respect to x and y. Then we sum these partial derivatives.
F(x, y) = (xy, x + y^2)
∂F/∂x = y
∂F/∂y = 1 + 2y
divF = ∂F/∂x + ∂F/∂y = y + (1 + 2y) = 3y + 1
Now, we can analyze where the divergence is positive (divF > 0) and where it is negative (divF < 0).
For divF > 0:
If y > -1/3, then divF > 0.
For divF < 0:
If y < -1/3, then divF < 0.
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if a bottle nose dolphin can eat 175 pounds of fish squid and shrimp in a week about how many pounds of food does it eat in a day? milo says the answer 20 pounds, leah says its 30 pounds. who is correct? explain.
Answer:
25 pounds
Step-by-step explanation:
you have to divide 175 by 7.
Answer: 25 lbs, Milo and Leah are both incorrect
Step-by-step explanation: You will need to divide the 175 pounds of food by seven since there are seven days in a week. That will be how you find the amount of food a bottlenose dolphin eats in a day.
175/7 = 25 pounds of food per day.
So Milo and Leah are both incorrect.
Hope I helped!
HELP WILL MARK BRAINLIEST
Answer:
Volume = 12
Step-by-step explanation:
Answer:
12cm³
Step-by-step explanation:
L=3cm
W=2cm
H=2cm
Volume=L*W*H
Volume =3*2*2
=12 cm³
ou are conducting an experiment to determine which brand of fertilizer results in the greatest amount of fruit production by tomato plants. In this example, the dependent variable would be the
In this experiment, the dependent variable would be the amount of fruit production by tomato plants.
The dependent variable is the variable that is measured or observed in an experiment. It is the outcome or response that is influenced by the independent variable, which is the variable that is manipulated or controlled by the researcher. In this case, the independent variable would be the brand of fertilizer.
By testing different brands of fertilizer and measuring the resulting fruit production, the researcher can determine the impact of each brand on the tomato plants' yield. The dependent variable, which is the amount of fruit production, will vary based on the different levels or variations of the independent variable (i.e., different brands of fertilizer).
By analyzing the data collected on fruit production for each brand of fertilizer, the researcher can identify which brand yields the greatest amount of fruit. This information can be used to make informed decisions on the most effective fertilizer brand for maximizing tomato plant productivity.
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Two functions are graphed on the coordinate plane. On a coordinate plane, a curved line with an upward arc, labeled g of x, crosses the x-axis at (negative 2, 0), and the y-axis at (0, 4). A straight horizontal line, labeled f of x, crosses the y-axis at (0, 4). Which represents where f(x) = g(x)? f(4) = g(4) and f(0) = g(0) f(–4) = g(–4) and f(0) = g(0) f(–4) = g(–2) and f(4) = g(4) f(0) = g(–4) and f(4) = g(–2)
Answer:
The answer is B. f(–4) = g(–4) and f(0) = g(0)
Step-by-step explanation:
There are 2 places where the lines intersect. the 2 places are -4 and 0.
The points which represent f(x) = g(x) are f(–4) = g(–4) and f(0) = g(0) option (2) f(–4) = g(–4) and f(0) = g(0) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is:
Two functions are graphed on the coordinate plane.
Which represents where f(x) = g(x)?
f(4) = g(4) and f(0) = g(0) f(–4) = g(–4) and f(0) = g(0) f(–4) = g(–2) and f(4) = g(4) f(0) = g(–4) and f(4) = g(–2)The missing figure is attached to the picture.
From the graph:
f(–4) = g(–4) and f(0) = g(0)
Because the functions have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Thus, the points which represent f(x) = g(x) are f(–4) = g(–4) and f(0) = g(0) option (2) f(–4) = g(–4) and f(0) = g(0) is correct.
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53% of students are male and 47% are female.
How many male students are there?
Please help Thanks.❤️
Answer:
100%
Step-by-step explanation:
53+47=100
One winter day, the temperature ranged from a high of 20F to a low of -2F. By how many degrees did the temperature change?
Answer:
22 degrees F
Step-by-step explanation:
\(20--2=20+2\)
Subtracting a negative number makes the sign positive, so 20 + 2 = 22 degrees F.
what sequence is 14, 22, 29, 36
Answer:
most likely arithmetic sequence
Step-by-step explanation:
An arithmetic sequence is one where each term has a common difference with the term before it.
In this sequence:
14, 22, 29, 36 ...
the common difference is intended to be 7:
22 + 7 = 29,
29 + 7 = 36,
etc.
So, we can add 7 to any term in the sequence to solve for the next term.
However, there is a problem with the given sequence in that 14 + 7 = 21, not 22. Most likely this is a mistake by the problem writer.
HELP PLEASE I"LL GIVE 18 POINTS
Answer:
- $ 2.87
Step-by-step explanation:
The price after 17 hours would have dropped more than what the stock was originally worth. So depending on whether we are talking about the real world or not, the stock would be worth $0
If you are just looking at the numbers, the stock would drop $ 27.88 after 17 hours. The original prices was $ 25.01 so the value now would be
- $ 2.87
true false in the a/b/c classification of analytical queuing models, the term g refers to a general distribution with mean and variance.
In the a/b/c classification of analytical queuing models, the term g refers to a general distribution with mean and variance.[TRUE]
Common Queue Model Notation ( A / B / C );( D / E/ F )
Where :
A = distribution of time between arrivals (arrival distribution)
B = service time distribution
C = number of service channels/service facilities in the system (s = 1, 2, 3, … , ∞)
D = queuing discipline
E = size of population or resource
F = maximum number of consumers allowed in the system (in service plus waiting line)
Information :
1. For A and B, the following codes can be used:
M = Poisson distribution or exponential distribution (Markovian)
D = Degeneracy Distribution (constant time)
Ek = Erlang distribution
G = General distribution
2. For C, a positive integer is used which represents the number of services.
3. For D, use the replacement codes FIFO, LIFO, or SIRO.
4. For E and F, use the code:
N = Limited quantity
∞ = Infinity
For example, queuing system M/M/1 means Poisson distribution for arrival and Exponential distribution for service time and one server. Queuing system M/M/2 has customers arrive according to Poisson distribution with Exponential distribution for service time and the system has two servers. Queuing system M/D/3 indicates that the customers arrive according to Poisson distribution while the service time is constant with 3 servers.
More comprehensive Kendall notation consists up to 6 letters: a/b/c/d/e/ff
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Assuming that no one is born on Feb. 29 (leap day), how many people should be selected to guarantee that at least 4 were born on the same day, not considering the year?
On the basis of birthday problem or scenario, the number of people should be selected to guarantee that at least 4 were born on the same day, not considering the year is equals to the 1096.
The worst case scenario is one of the many possible cases where the desired outcome comes after every other probable outcome has already occurred. The number of people who ensure that at least 7 people have a birthday on a single day of a non-leap year (365 days) can be determined by ensuring that in the number of people selected in each trial, two people do not have a birthday on a day. the same day. There are 365 days in a year.
Assuming everyone was born on a different day, then you could have 365 people where no one was born on the same day, but those 366 people would have to be born on the same day as someone else in the group. So the minimum number of people in a group would have to be 366 to guarantee that at least 2 people were born on the same day. But we wanted to guarantee that at least 4 people were born on the same day.
So, assuming we had 3 × 365 people together, with every 3 of them being born on the same day. Then would have a total of 365× 3 = 1095 people, with no more than 3 people being born on the same day. Now as we select one more person, the number of people born on a day for one of the days in the year will increase to 4. Hence the number of people that should be selected to guarantee that at least 4 were born on the same day are 1095 +1 = 1096. Hence, required value is 1096.
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sat math scores follow a normal distribution with a mean of 511 and a standard deviation of 110. suppose we choose a student at random. what is the probability that the student scores between 450 and 600?
The probability that a student scores between 450 and 600 on the SAT math section is approximately 0.4147 or 41.47%.
To find the probability that a student scores between 450 and 600 on the SAT math section, we need to use the properties of the normal distribution. We know that the mean is 511 and the standard deviation is 110.
First, we need to standardize the values of 450 and 600 using the formula:
z = (x - μ) / σ
where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.
For 450:
z = (450 - 511) / 110 = -0.55
For 600:
z = (600 - 511) / 110 = 0.81
Next, we need to find the area under the normal curve between these two standardized values. We can use a table or a calculator to find that the area between z = -0.55 and z = 0.81 is approximately 0.4147.
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There are two boxes containing only blue and black pens.
Box A has blue pens and black pens.
Box B has blue pens and black pens.
A pen is randomly chosen from each box.
List these events from least likely to most likely.
Event : choosing a blue pen from Box A.
Event : choosing a blue or black pen from Box A.
Event : choosing a blue pen from Box B.
Event : choosing a red pen from Box B.
Answer:
Event : choosing a red pen from Box B, Event : choosing a blue pen from Box B, Event : choosing a blue pen from Box A, Event : choosing a blue or black pen from Box A.
Step-by-step explanation:
I used logic to figure it out, I'm not sure what to say. Though I would like to mention that the event that choosing a blue pen from box A and the event of choosing a blue pen from box B is the same, unless there is more that I don't know.
Keep living!
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