Answer: The graph of y > mx, where m > 0, consists of a dashed line and a shaded half plane. The line has a positive slope and passes through the origin. The shaded half plane is above the line.
Step-by-step explanation:
What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 4x-y=1?
Answer:
y= 4x +5
Step-by-step explanation:
Let's rewrite the equation so that it is in the form of y=mx+c, where m is the gradient and c is the y-intercept.
4x-y=1
y= 4x -1
parallel lines have the same gradients. Thus the gradient of the line is 4.
y=4x+c
To find c, substitute a pair of coordinate.
When x=-2, y= -3,
-3= 4(-2) +c
-3= -8 +c
c= 8 -3
c= 5
Thus, the equation of the line is y= 4x +5.
If C=5/9(F-32) what is the value of F when C =40
Answer:
\((F)= \frac{9}{5} \)
Cual es la Respuesta de 5a+7a
Answer:
12a
Step-by-step explanation:
In this figure, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠3=120°.
What is m∠6?
Enter your answer in the box.
°
Line a b parallel to line c d is cut by a transversal forming 8 angles. The angles formed when the transversal intersects with line A B clockwise starting from top left are angle 1, 2, 3, and 4. The angles formed where the transversal intersects line c d clockwise from top left are angle 5, 6, 7, and 8.
Answer:
the answers is 160
you take 180-120=60
m<6= 60
Step-by-step explanation:
uppose that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with the number of workers. Suppose also that it takes workers weeks to build miles of highway. How long will it take workers to build miles of highway?
it will take k × x × w weeks to build x miles of highway with w workers, where k is the constant of proportionality.
How to determine how long will it take workers to build miles of highwayLet's say it takes "t" weeks to build "m" miles of highway with "w" workers. Based on the given information, we can write the following proportion:
t weeks / m miles = k × w workers
Where "k" is the constant of proportionality.
Now, if we want to find how long it will take workers to build "x" miles of highway, we set up the proportion as follows:
t weeks / x miles = k × w workers
To solve for "t," we can cross-multiply and then divide:
t weeks = (k × w workers × x miles) / 1
t weeks = (k × x × w) / 1
t weeks = k × x × w
Therefore, it will take k × x × w weeks to build x miles of highway with w workers, where k is the constant of proportionality.
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linear approximation help pretty pls
Answer:
A
Step-by-step explanation:
Our function is
\( \frac{1}{2} \pi( {x}^{2} )\)
We need to estimate v(2.98) using V(3).
Variables:
What we are trying to find is V(2.98). We will later plug in 2.98 into the tangent line approximation.
We are going to use V'(3) for the slope of the tangent line. We will use V(3) later for the tangent line approximation.
So first, let solve for
V'(x).
\( \frac{1}{2} \pi( {x}^{2} )\)
1/2 pi is a constant so
\( \frac{1}{2} \pi( \frac{d}{dx} (x {}^{2} )\)
\( \frac{1}{2} \pi(2x)\)
\(v'(x) =( \pi)x\)
Let x=3,
\(v'(3) = 3\pi\)
Let find v(3).
\( \frac{1}{2} \pi( {3}^{2} ) = 4.5\pi\)
The tangent line equation is
\(f(x) = f(a) + f'(a)(x - a)\)
x is 2.8
a. is 3.
\(f(2.8) = f(3) + f'(3)(2.8 - 3)\)
\(f(2.8) = 4.5\pi + 3\pi( - 0.2)\)
Disclaimer: F(x) is V(x).
\(f(2.8) = 4.5\pi - 0.6\pi\)
\(f(2.8) = 3.9\pi = 12.25\)
The closest here is A
roslyn has twenty boxes. thirteen of the boxes contain pencils, nine of the boxes contain pens, and three of the boxes contain neither pens nor pencils. how many boxes contain both pens and pencils?
The number of boxes containing both pens and pencils is 2.
What is set?
A set is defined as a well-defined collection of distinct objects. It is denoted by the capital letters of the English alphabet. Its value remains the same for every individual.
Calculation for the number of boxes containing both pens and pencils
Total number of boxes is given by the union of two sets A and B; i.e. A∪B= 20
Boxes having pencils is given by the set A = 13
Boxes having pens is given by the set B = 9
Boxes having neither pens nor pencils, A'∩B' = 3
Boxes containing both pens and pencils are given by the intersection of the sets, A∩B
A∩B = A + B - A∪B
= 13 + 9 - 20
= 2
Hence, the number of boxes containing both pens and pencils is 2.
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Graph the line y = 3x +3 (on Desmos) and the line perpendicular to
it that passes through (-3, 2). Then write the equation of the
perpendicular line.
The graph shows the relationship between the United States dollar and the euro, the currency of the European Union, in December 2011. Part B: Justify why the relationship shown in the graph is a proportional relationship.
Answer:
Step-by-step explanation:
Let the equation of the line representing relation between the euros and dollars is,
E = mD + b
Where 'E' = Number of euros
D = Number of dollars
m = slope of the line
b = y-intercept
Slope of a line which passes through two points (120, 90) and (400, 300) will be,
m = \(\frac{y_2-y_1}{x_2-x_1}\) = \(\frac{300-90}{400-120}\)
m = 0.75
Equation of the line passing through (120, 90),
90 = 0.75(120) + b
b = 90 - 90 = 0
Therefore, equation of the line will be,
E = mD
E ∝ D
Here m = Proportionality constant
And the relation between the numbers of Euros and US dollars is a proportional relationship.
Please please help with this!!!! 25 points and brainliest!!!! Please explain!!!
Answer:
its the second one
Step-by-step explanation:
its the second one because the statement RWS=TUV shows which angles are congruent in order meaning that ang r and t are congruent angle w and u are congruent and angle v and s are congruent. so t and s are not congruent
B.T S is the answer to the question you asked
Ocala Software Systems operates a technical support center for its software customers. If customers have installation or use problems with Ocala software products, they may telephone the technical support center and obtain free consultation. Currently, Ocala operates its support center with one consultant. If the consultant is busy when a new customer call arrives, the customer hears a recorded message stating that all consultants are currently busy with other customers. The customer is then asked to hold and is told that a consultant will provide assistance as soon as possible. The customer calls follow a Poisson probability distribution, with an arrival rate of five calls per hour. On average, it takes 7.5 minutes for a consultant to answer a customer's questions. The service time follows an exponential probability distribution. a. What is the service rate in terms of customers per hour? b. What is the probability that no customers are in the system and the consultant is idle? c. What is the average number of customers waiting for a consultant? d. What is the average time a customer waits for a consultant? e. What is the probability that a customer will have to wait for a consultant? f. Ocala's customer service department recently received several letters from customers complaining about the difficulty in obtaining technical support. If Ocala's customer service guidelines state that no more than 35% of all customers should have to wait for technical support and that the average waiting time should be two minutes or less, does your waiting line analysis indicate that Ocala is or is not meeting its customer service guidelines? What action, if any, would you recommend?
The probability that a customer will have to wait for a consultant is 12.5%, which is less than the 35% limit. Ocala should hire more consultants to improve customer service, or they could consider adopting a call-back system, which would allow customers to leave their phone numbers and receive a call back when a consultant is available.
a. Service rate in terms of customers per hour The service rate in terms of customers per hour can be calculated by dividing the number of customers served in an hour with the time it takes to serve one customer, which is the reciprocal of the mean service time. The service rate in terms of customers per hour = 60/7.5 = 8 customers per hour.
b. Probability that no customers are in the system and the consultant is idleThe probability that no customers are in the system and the consultant is idle can be calculated using the following formula: P0 = 1 - λ/μ, where λ is the arrival rate and μ is the service rate. P0 = 1 - 5/8 = 0.375
c. Average number of customers waiting for a consultantThe average number of customers waiting for a consultant can be calculated using the following formula: Lq = λ²/μ(μ - λ), where λ is the arrival rate and μ is the service rate. Lq = (5²/8(8-5)) = 0.625
d. Average time a customer waits for a consultantThe average time a customer waits for a consultant can be calculated using the following formula: Wq = λ/L(μ - λ), where λ is the arrival rate, L is the average number of customers in the system, and μ is the service rate. Wq = (5/8-5) = 0.833 hourse.
Probability that a customer will have to wait for a consultant The probability that a customer will have to wait for a consultant can be calculated using the following formula: Lq/λ = 0.625/5 = 0.125 or 12.5% f. Waiting line analysis indicate that Ocala is meeting its customer service guidelines. The average waiting time is 0.833 hours which is greater than 2 minutes, but the waiting time guideline is not breached.
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You are at a restaurant and the check comes to a total of $49. If you want to leave a 19% tip, how much total money should you pay, to the nearest cent?
Answer:
$58.31
Step-by-step explanation:
$49÷100×119= $58.31
Answer:
$58.31
Step-by-step explanation:
First, find the tip.
Multiply the tip rate by the check total.
tip = tip rate * check total
The tip rate is 19% and the total is $49.
tip = 19% * $49
Convert 19% to a decimal. Divide 19 by 100 or move the decimal place 2 spots to the left.
19/100=0.19 or 19.0 --> 1.9 --> 0.19
tip = 0.19 * $49
tip= $9.31
Next, find the total.
Add the tip to the check total.
total = tip + check total
The tip is $9.31 and the check total is $49.
total = $9.31 + $49
total= $58.31
The total with tip is $58.31
consider a symmetric matrix a. if the vector v is in the image of a and w is in the kernel of a, is v necessarily orthogonal to w?
Yes, the vector v is necessarily orthogonal to w if v is in the image of the symmetric matrix A and w is in the kernel of A.
Yes, the vector v is necessarily orthogonal to w if v is in the image of the symmetric matrix A and w is in the kernel of A. This is due to the fact that for any symmetric matrix A, the image (column space) and kernel (null space) are orthogonal subspaces. Since v is in the image of A and w is in the kernel of A, their dot product must be zero, indicating orthogonality.
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which decimal is equal to this fraction
Answer:
-0.6666666
Step-by-step explanation:
you divide -4/6 which is the same as -2/3 which is -0.6666
Answer:
-0.66666666667
Step-by-step explanation:
-4/6
= -0.66666666667
= -66.666666667%
Please help!
Identify the slope of the function: f(x)=2(3x-7)
A:3
B:6
C:7
D:2
Answer:
The slope is 6
Step-by-step explanation:
f(x)=2(3x-7)
Distribute the 2
f(x)=2*3x-2*7
f(x) = 6x -14
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 6 and the y intercept is -14
The slope is 6
A and B are vertical angles. If A = (5x - 28) and
B = (3x + 4), find the measure of each angle.
Answer:
A = B = 52
Step-by-step explanation:
Vertical angles are equal
A = B
5x-28 = 3x+4
Subtract 3x from each side
5x-3x-28 = 3x+4-3x
2x-28 = 4
Add 28 to each side
2x-28+28 = 4+28
2x = 32
Divide by 2
x= 16
A = 5x - 28 = 5(16) -28 = 80-28 = 52
B = A = 52
what is the slope of the line containing the points (-3,7) and (3,3)
Answer:
m = -2/3
Step-by-step explanation:
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)
Simply plug in our coordinates into the formula:
m = (3 - 7)/(3 + 3)
m = -4/6
m = -2/3
Answer:
-2/3
Step-by-step explanation:
In order to find the slope, we need to find the change in y over change in x
For y: 7-3=4
For x: -3-3=-6
4/-6
We can simplify it into 2/-3
WILL GIVE BRAINLIEST
Draw a net to represent the three-dimensional figure indicated.
a. Right cylinder
answer:
you should be able to see the answer below.
step-by-step explanation:
imagine opening the actual shape and make sure the net diagram makes sense
The net is made up of two congruent rectangles and a circle. The rectangles are the bases of the cylinder, and the circle is the top.
The rectangles are connected by four flaps, which are the sides of the cylinder.
The dimensions of the net are as follows:
The length of each rectangle is equal to the circumference of the circle.
The width of each rectangle is equal to the height of the cylinder.
The radius of the circle is equal to the radius of the base of the cylinder.
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Why is mapping important in research?
Mapping particularly useful for helping social researchers and research teams develop and detail ideas for research.
Mapping focuses on characteristics such as where the activity took place, where the funding came from, and in what journal or other medium it was presented.
Mapping
Mapping is a method that uses comprehension/concentration skills and evolves in a note taking form which relates each fact or idea to every other fact or idea. Mapping is a graphic representation of the content of a lecture.
Benefits of mind mapping
1-It helps you remember and recall information.
2-It helps you learn new concepts.
3-It's a fun way of learning.
4-It makes complex ideas easier to understand.
5-It improves your presenting.
6-It boosts your creativity.
7-It improves productivity.
8-It's flexible.
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I need some help please
Answer:
x+2
hope this helps ;)
and cute pfp
Answer:
Step-by-step explanation:
x-1, because 3 fits the criteria, x>=1
Including a 6% sales tax, a new bike costs $514.1. Find the cost of the bike before
tax.
the cost of the bike before tax
514.1/106%=$485
what is the answer to -1 + n = 12
Answer:
13
Step-by-step explanation: so youre solving for n, so add -1 to 12, which makes 13. you add because you remove the negative sign from one.
unit 8 right triangle and trigonometry homework 5 trigonometry: finding sides and angles solve for x round to the nearest tenth.
plllls I will make brainlesst
Answer:
5. x = 25.6
6. x = 11.0
7. x = 41.8°
8. x = 64.2°
9. x = 12.8°
10. x = 51.3°
Step-by-step explanation:
Let's find the x value for each triangle.
For point 5
We have:
x: is the opposite cathetus to 52°
20: is the adjacent cathetus to 52°
52°: is the angle
We can find "x" with the following trigonometric function:
\( tan(52) = \frac{x}{20} \)
\( x = tan(52)*20 = 25.6 \)
For point 6
We have:
x: is the hypotenuse
5: is the opposite cathetus to the given angle
27°: is the angle
To find "x" we need to use the trigonometric function:
\( sin(27) = \frac{5}{x} \)
\(x = \frac{5}{sin(27)} = 11.0\)
For point 7
We know:
x°: is the angle
6: is the hypotenuse
4: is the opposite cathetus to x°
Hence, x is:
\( sin(x) = \frac{4}{6} \)
\( x = sin^{-1}(\frac{4}{6}) = 41.8 \)
For point 8
We have:
x°: is the angle
14: is the adjacent cathetus to x°
29: is the opposite cathetus to x°
To calculate "x" we need to use the trigonometric function tan(x):
\( tan(x) = \frac{29}{14} \)
\( x = tan^{-1}(\frac{29}{14}) = 64.2 \)
For point 9
We have:
x°: is the angle
54: is the hypotenuse
12: is the opposite cathetus to x°
We can use sin(x) to solve for x:
\( sin(x) = \frac{12}{54} \)
\( x = sin^{-1}(\frac{12}{54}) = 12.8 \)
For point 10
We have:
x°: is the angle
40: is the hypotenuse
25: is the adjacent cathetus to x°
We need to use cos(x) to solve for x:
\( cos(x) = \frac{25}{40} \)
\( x = cos^{-1}(\frac{25}{40}) = 51.3 \)
I hope it helps you!
To solve the given questions, either of the trigonometric functions; sine, cosine and tangent of an angle has to be applied appropriately to either of the questions. The answers to the questions are:
5. x = 25.60
6. x = 11.00
7. x = \(41.8^{o}\)
8. x = \(64.2^{o}\)
9. x = \(12.8^{o}\)
10. x = \(51.3^{o}\)
The questions given are right angled triangles which requires the application of trigonometric functions appropriately. A right angle triangle is one that has one of its angles to be \(90^{o}\).
So, each of the questions can be solved as follows:
5. Tan θ = \(\frac{opposite}{adjacent}\)
Tan 52 = \(\frac{x}{20}\)
⇒ x = Tan 52 * 20
= 25.5988
x = 25.60
6. Sin θ = \(\frac{opposite}{hypotenuse}\)
Sin 27 = \(\frac{5}{x}\)
⇒ x = \(\frac{5}{Sin 27}\)
= 11.0134
x = 11.00
7. Sin θ = \(\frac{opposite}{hypotenuse}\)
Sin x = \(\frac{4}{6}\)
= 0.66667
x = \(Sin^{-1}\) 0.66667
= \(41.8^{o}\)
x = \(41.8^{o}\)
8. Tan θ = \(\frac{opposite}{adjacent}\)
Tan x = \(\frac{29}{14}\)
= 2.0714
x = \(Tan^{-1}\) 2.0714
= \(64.2^{o}\)
x = \(64.2^{o}\)
9. Sin θ = \(\frac{opposite}{hypotenuse}\)
Sin x = \(\frac{12}{54}\)
= 0.22222
x = \(Sin^{-1}\) 0.22222
= \(12.8^{o}\)
x = \(12.8^{o}\)
10. Cos θ = \(\frac{adjacent}{hypotenuse}\)
Cos x = \(\frac{25}{40}\)
= 0.625
x = \(Cos^{-1}\) 0.625
= \(51.3^{o}\)
x = \(51.3^{o}\)
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The table shows your height on a water slide at various time intervals
1. Find the average rate of change in a riders height between 1 and 3 seconds
2. Find the average rate of change in a riders height between 0 and 5 seconds
3. What is another word for rate of change in this situation?
Time(s) Height (ft)
0 120
1 90
2 60
3 30
4 0
5 0
1. The average rate of change in a riders height between 1 and 3 seconds -30 ft/s
2. The average rate of change in a riders height between 0 and 5 seconds -24 ft/s
3. Another word for rate of change in this situation is speed
What is speed?Speed is defined as the rate of change of the distance travelled with time. Mathematically, it can be expressed as:
Speed = distance / time
With the above idea, we can obtain the answers to the question given above.
1. How to determine the rate of change between 1 and 3 secondsChange in height = 30 - 90 = -60 ftChange in time = 3 - 1 = 2 sRate of change =?Rate = Change in height / change in time
Rate = -60 / 2
Rate = -30 ft/s
2. How to determine the rate of change between 0 and 5 secondsChange in height = 0 - 120 = -120 ftChange in time = 5 - 0 = 5 sRate of change =?Rate = Change in height / change in time
Rate = -120 / 5
Rate = -24 ft/s
3. what is another word for rate of change?From the definition of speed given above, we can say that: another word for rate of change is speed
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2. there are six new babies in the nursery lying in cribs one through five. ingrid is working today and has no idea what any of the baby's names are. when the new parents come to pick up their babies she needs to make sure to give them the right ones. she knows that the baby's names are kelsie, kevin, klyde, james, and janie. she has found a few clues to help her name each baby. kelsie and janie are the only girl's names. baby 1 has a sign in its crib that has a "j" on it. babies 2 and 5 are twins and their names start with the same letter. baby 1 is a girl. the twins' names have the same number of letters. baby 3 is a boy. kelsie and klyde are lying next to each other.
Therefore, the babies' names in order are Janie, Kelsie, Klyde, James, and Kevin.
Based on the given clues, Ingrid can deduce the correct names for each baby as follows:
Baby 1: Janie (girl) - The crib has a "j" on it, and Janie is one of the only two girl names.
Baby 2: Kelsie (girl) - One of the only two girl names remaining, and baby 2 and 5 are twins with names starting with the same letter.
Baby 3: Klyde (boy) - Baby 3 is a boy, and Klyde is lying next to Kelsie.
Baby 4: James (boy) - The remaining boy name.
Baby 5: Kevin (boy) - The remaining boy name and the twin of baby 2.
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Please answer immediately
Answer: 5
Step-by-step explanation:
Wyatt uses a notebook for keeping financial records. He has placed dividers in the notebook so that it has different sections. Each divider also has a pocket for keeping receipts or other papers related to the records in each section. Wyatt keeps his notebook in his locker at school.
Which of the following things about Wyatt’s system of record keeping provides a way to separate his financial details into different categories?
a.
The fact that financial records are kept in the notebook.
b.
The fact that the notebook.has section dividers
c.
The fact that the section dividers have pockets.
d.
The fact that the notebook is kept in his locker.
Answer:
The fact that the notebook.has section dividers
Step-by-step explanation:
The fact that the notebook has section dividers provides a way to separate his financial details into different categories, option A is correct.
What is Combination?An arrangement of objects where the order in which the objects are selected does not matter.
Section dividers allow Wyatt to separate his financial details into different categories, such as income, expenses, savings, investments, etc.
Each section can be used to organize specific information and receipts related to that category.
This system helps him easily access and reference information when needed.
The fact that the section dividers have pockets (option c) is also important as it allows Wyatt to store receipts and other papers related to the records in each section.
However, the key feature that allows him to separate his financial details into different categories is the presence of section dividers.
Hence, the fact that the notebook has section dividers provides a way to separate his financial details into different categories
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1 divided by 3 x a = -5
What's the variable?
Answer:
1 Is the Variable
Step-by-step explanation:
A says "I am a knight" and B says "A is a Knave?" therefore what
is A and B ??
The logic is Knights always tell the truth and Knaves always
lie
A is a Knave and B is a Knight. First, we need to understand the rules. The first rule is that Knights always tell the truth, while Knaves always lie.
A Knave is a person who always lies, while a Knight is a person who always tells the truth. According to the statement provided in the question, A claims to be a Knight, and B claims that A is a Knave. If A is a Knight, he must be telling the truth; as a result, B's statement must be false. As a result, if A is a Knight, B must be a Knave. If A is a Knave, he must be lying, so his statement cannot be true. As a result, B's statement must be true, implying that A is, in fact, a Knave. As a result, we can deduce that A is a Knave and B is a Knight.
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SAJKDHSJAAFJ CUPO AYUDA PORFAVOR TT_TT
Answer:
3
Step-by-step explanation: