The equation of the straight line is 8x - y = 85.
It is given that the slope of the line is 8 and passes through the point (3,11).
We have to find the equation of the line.
We know that,
Equation of a line is :-
[tex]y -y_1 = m (x - x_1)[/tex]
Where,
x and y are variables
m is the slope of the line
[tex](x_1,y_1)[/tex] are the coordinates of the point that passes through the line.
Here,
[tex](x_1,y_1)[/tex] = (3,11)
m = 8
Hence,
Equation of the line = y - 3 = 8(x - 11)
y - 3 = 8x - 88
8x - y = -3 + 88
8x - y = 85
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Evaluate the indefinite integral. (use c for the constant of integration.) x5 1 x12 dx
The evaluation of the given indefinite integral is (1/8)Tan⁻¹(x⁸) + C.
What is indefinite integral?A function that performs the antiderivative of another function is known as an indefinite integral. It can be represented visually as an integral symbol, a function, and finally a dx. A differentiable function F whose derivative is equal to the original function f is referred to as an antiderivative, inverse derivative, primitive function, primitive integral, or indefinite integral of a function f in calculus.So,
∫[x⁷ / (1 + x¹⁶)]dx = ∫[x⁷ / (1 + (x⁸)²]dxNow, u = x⁸. Then, du = 8x⁷dx. So, x⁷dx = (1/8)du.So, we obtain: (1/8)∫[du / (1 + u²)] = (1/8)Tan⁻¹u + C = (1/8)Tan⁻¹(x⁸) + CTherefore, the evaluation of the given indefinite integral is (1/8)Tan⁻¹(x⁸)+C.
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The correct question is given below:
Evaluate the indefinite integral. (use c for the constant of integration.)
x⁷/1+x¹⁶ dx
Multiplying polynomials
(5p - 5)(7p + 6)
i need help can some help me
The width and the length of the rectangle are equal to 6√5 units and 3√5 units, respectively.
What are the dimensions of the rectangle?
In this problem we find the area of the rectangle and the ratio of the length to the width of the figure. Mathematically speaking, the area of the rectangle is described by the following formula:
A = (2 · x) · x
A = 2 · x²
If the area of the rectangle is equal to 90 square units, then the width of the rectangle is:
2 · x² = 90
x² = 45
x² = 3² × 5
x = 3√5
The width of the rectangle is equal to 3√5 units. By the given ratio, the length of the rectangle is equal to 6√5 units.
Therefore, the length and width of the rectangle are equal to 6√5 units and 3√5 units, respectively.
RemarkThe lower part of the picture is not related to the statement.
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Points j,k,and l lie on the same line, and point k is between j and l. todd contructs sv with the same lenght as jl then he draws point t on sv so that st is the same length as st is the same length as jk
The points t will also be in between line segment sv.
What is a line segment?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
Given that,
Point k is in between of j and l
Since the length of the line segment sv is equal to jl and t is the midpoint of sv so jk will be equal to the st.
Hence "The points t will also be in between line segment sv".
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(6/7x-2/3)+3/5+(5/8x-6/7) with full steps
Answer:
Step-by-step explanation:
See the file below. You can see the step-by-step answer and it will improve your score and it will understand how to solve this problem
MP Reason Inductively A student said you
can add the same number to both terms of
a ratio to find an equivalent ratio. Is the
student correct? Explain why or why not.
The student said you.can add the same number to both terms of a ratio to find an equivalent ratio. This is wrong.
How to explain the ratio?It should be noted that equivalent ratios are the ratios that are the same.
In this case, the student said you.can add the same number to both terms of a ratio to find an equivalent ratio. It should be noted that this is incorrect.
The proper thing is to multiply.
For example, 3/4 will be 3 × 2 / 4 × 2 = 6/8. This is the equivalent fraction.
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Answer:
yeah
Step-by-step explanation:
yup
I don’t know what that symbol is used for
Answer:
Perpendicular lines.
IF YOU JUST SIMPLY ANSWER!!!! 100 points!!!!
Answer:
hi loll
Step-by-step explanation:
To solve this problem, which should you do first? (Check all that apply)
Group of answer choices
Subtract 0.8 - 1/10
Change 40.8 to 40 8/10
Subtract 40 - 14
Change 14 1/10 to 14.1
PLEASE HELPPP
The first step to solve the equation is;
⇒ ''Change 14 1/10 to 14.1''
What is Mixed fraction?
A fraction which is represented with its quotient and remainder is called a mixed fraction.
The problem is given as,
40.8 - 14 1/10
Now, To solve the equation we have firstly change 14 1/10 as
40.8 - 14 1/10
40.8 - 14.1
Then, Subtract the numbers as,
26.7
Solution of the problem is 26.7.
So, The first step to solve the equation is;
⇒ ''Change 14 1/10 to 14.1''
Option 4 is true.
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*Put in number form*
1- Two times the sum of four and eight
2- Seven less than eight
3-The product of x squared and thirteen
(1) The numerical expression is 24
(2) The numerical expression is 1
(3) The numerical expression is 13x²
A numerical expression includes two words, ‘Numerical’, which suggests related to numbers, and ‘Expression’, that indicates the operations on the numbers. throughout this text NumericalExpressions unit among the foremost basic but most important mathematical ideas.The term numerical refers to 1 factor that involves numbers. we tend to all grasp that expression is nothing but merely a phrase. Thus, numerical expression may well be a phrase involving numbers. In arithmetic, a numerical expression may well be a group of numbers that ar written on by utilizing arithmetic operators addition, subtraction, multiplication, and division(1) 2 ( 4 + 8) = 2 × 12
= 24
(2) 8 - 7 = 1
(3) 13x²
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3, 6)
5. Mr. Tran purchased a phone card
with 300 minutes on it. If he uses
the card to make 2 hours of calls,
how many minutes remain on his
phone card?
Answer: 180 minutes
Step-by-step explanation:
300/60
5-2=3
3x60=180
Rodolfo le da una vuelta a la manzana en 4 minutos; Ricardo, en 5 minutos y Rena to, en 6 minutos. ¿En cuánto tiempo existirán si empiezan a hacer el recorrido desde el mismo punto?
Rodolfo, Rena y Ricardo se encuentran después de 6 minutos en la salida si todos comienzan su viaje desde el mismo punto.
Rodolfo tarda unos 4 minutos en dar la vuelta a la manzana.
Ricardo tarda 5 minutos en dar la vuelta a la manzana.
Rena tarda 6 minutos en dar la vuelta a la manzana.
Digamos que los tres comienzan el viaje desde el mismo punto A.
Rena tarda 6 minutos, Ricardo tarda un minuto menos que Rena y Rodolfo tarda 2 minutos menos que Rena.
Por lo tanto,
Rena es la que más tarda en dar la vuelta a la manzana y será la última en salir.
Por lo tanto, Rodolfo, Ricardo y Rena se encontrarán después de 6 minutos en la salida.
Todas se reúnen después de 6 minutos en la salida.
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Three friends ate at a restaurant. They ordered nachos for $18.85 and jalapeno poppers. Each friend paid $9.98, not including sales tax or tip, which was one third of the total. Determine the cost of the jalapeno poppers.
$22.18
$6.28
$29.94
$11.09
If three friends ate at a restaurant. They ordered nachos for $18.85 and jalapeno poppers. Each friend paid $9.98, not including sales tax or tip, which was one third of the total. The cost of the jalapeno poppers is: $11.09.
CostFirst step is to calculate the amount that the three friend paid
Amount=$9.98×3
Amount=$29.94
Now let calculate the cost of the jalapeno poppers
Cost=$29.94-$18.85
Cost=$11.09
Therefore If three friends ate at a restaurant. They ordered nachos for $18.85 and jalapeno poppers. Each friend paid $9.98, not including sales tax or tip, which was one third of the total. The cost of the jalapeno poppers is: $11.09.
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Kenny says that to find how fast Spotify is downloading songs, you can always take the number of songs left to download and divide by how long the playlist has been downloading. Do you agree or disagree? Explain.
I do not agree. To find how fast Spotify is downloading songs, divide the number of songs already downloaded by how long the playlist has been downloading.
What is division?Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
For example, assume that you are downloading a playlist that has 100 songs. 80 songs have been downloaded in the past two hours. In order to determine the rate at which songs are downloaded, divide 80 by 2.
Speed = 80 / 2 = 40 songs per hour
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Differences between two samples are least likely to be statistically significant if the samples are _____ and the standard deviations of the samples are _____.
If the samples are large and the standard deviations are small, the differences between the two samples are least likely to be statistically significant.
How does standard deviation work?The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.
Why is statistical significance important?"Statistical significance precision" tells us, in Redman's words, "whether a result is probably caused by chance via some factor of interest." A significant finding simply means that you should consider it. can be sure that it is true and not that you were just lucky (or unlucky) in the sample you chose.
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A new car is priced at £7500.
In a sale it is reduced by 20%.
Calculate the reduction in price.
Answer:£1500
7500 divided by 10=750. £750 is 10% so 750x2 which is 1500, is 20%. Therefore, it is reduced by £1500
Answer:
£1500
Step-by-step explanation:
20% = 20/100 = 0.2
7500 - (7500*0.2)
= 7500 - 1500
= 6000
The reduction in price is:
£ 1500
You have 80 fluid ounces of lemonade and you need to put them into containers that hold 1 pint. How many containers will you need?
When you have 80 fluid ounces of lemonade and you need to put them into containers that hold 1 pint, the number of containers will be 5.
How to compute the value?Note that the conversion ounce to pint is to divide the value by 16.
Therefore, 80 fluid ounces to pint will be:
= 80/16
= 5
Therefore, the value is 5 pints.
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NEED HELP THANK YOU !!
What is the distance of coordinates (8,4)(-3,4)?
Answer:
Mark them in a gtaph paper.
Step-by-step explanation:
Tke a graph paper and draw the x and y axis in the middle of the graph.
If u hv learned coordinates mark the points and count the boxes in between.
That will be ur answer
Thank me later
1. Use the diagram to the right to name the following
a Four collinear points.
b) A line that contains point M.
c) A line that contains points H and K.
d) Another name for line q.
e) The intersection of lines p and
H I, N, K
MO
NO
J,I, L, K
M OM
M, O, H, N
line
une
KL
What number will make this expression a perfect square trinomial? show your work. x² 8x __
The number must be added in the expression, x² - 8x, to make a perfect square trinomial is 16.
What is perfect square trinomial?Perfect square trinomials are algebraic representations that have three terms and are formed by multiplying a binomial by another binomial. A perfect square is a number formed by multiplying another number by itself.
The form is ax² + bx + c.
Where, a, b, and c are real numbers & a ≠ 0.
Now, as per the question; the expression is given as;
x² - 8x
The perfect square trinomial written in standard form as;
(x - a) = x² - 2ax + a²
In the given equation, enter c as the value to be added.
x² - 8x + c
By comparing it to the standard form
-8x = - 2ax ----->(1)
c = a2----->(2)
When we solve these equations for a and c, we get
-8x = - 2ax
a = -8/-2
a = 4
c = (4)² = 16
Thus,
(x - 4)² = x² - 8x + 16
As a result, the value that must be added is 16.
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The correct question is -
What number must be added in the expression, x² - 8x, to make a perfect square trinomial?
A geometric sequence has these properties.
What is the 7th term of this sequence?
This spinner has 6 equal sections. What are the odds in simplest form against spinning blue or yellow?
(A) 1:2
(B) 2:3
(C) 3:2
(D) 2:3
Answer:
B)2:3
Step-by-step explanation:
the spinner has all the rainbow colors and thus two colors(blue and yellow) are 2 out of 6 possibilities. the odds against these is 4 out of six (2:3)
It can reasonably be inferred from the passage that the main reason that the narrator considers great expectations to be the best gift he ever received is because?
Infer means to guess or reach a conclusion, especially based on an indirect hint.
What exactly does inferred mean?The passage suggests that the main reason the narrator considers Great Expectations to be the best gift he ever received is that reading the book convinced him that he wanted to be a writer.
Infer means to draw a judgement based on evidence; if there is little proof, the term is close to conjecture. To come to a decision or conclusion based on knowledge or an assumption; to arrive at a conclusion through reasoning. To infer is to draw a conclusion based on facts or presumptions. Assuming that a child stole the dish of cookies because he was the only one in the room when they vanished is an example of inferring.To learn more about inferred, refer to:
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i’m a little confused on how this would be solved. you and your friend drive towards eachother. the equation 50h=190-45h represents the number of hours until you and your friend meet. when will you meet?
Answer: you will meet in two hours.
Step-by-step explanation:
[tex]50h=190-45h\\50h+45h=190-45h+45h\\95h=190\\[/tex]
Divide both parts of the equation by 95:
[tex]h=2\ hours[/tex]
machine a, working alone at its constant rate, produces x pounds of peanut butter in 12 minutes. machine b, working alone at its constant rate, produces x pounds of peanut butter in 18 minutes. how many minutes will it take machines a and b, working simultaneously at their respective constant rates, to produce x pounds of peanut butter?
It will take 7.2 minutes for machines a and b, working simultaneously at their respective constant rates, to produce x pounds of peanut butter.
Rule #1: If a person can finish an entire job in k hours, then the person can complete 1/k of the job in one hour.
For example, if it takes Sue 5 hours to accomplish a task, she can complete 1/5 of the task in one hour. In other words, her hourly rate is one-fifth of the job's.Rule #2: If a person finishes a/b of a job in one hour, it will take b/a hours to finish the entire job.
For example, if Sam can finish 1/8 of the job in one hour, it will take him 8/1 hours to finish the job.Similarly, if Joe can finish 2/3 of the job in one hour, it will take him 3/2 hours to finish the job.Machine A finishes the job in 12 minutes.
Using Rule #1, machine A wraps up one-twelfth of the job in 1 minute.Machine B finishes the job in 18 minutes.
So, according to Rule #1, machine B finishes 1/18 of the job in 1 minute.When their efforts are combined, they can fulfill (1/12 + 1/18) of the job in 1 minute.
1/12 + 1/18 = 3/36 + 2/26 = 5/36So, when the machines work together, they can complete 5/36 of the job in 1 minute.Using Rule #2, the time required to complete the entire job = 36/5 minutes.
Therefore, 36/5 minutes or 7.2 minutes is the correct answer.
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Which of these is a valid byte? check all that apply. 1 point 11011011 10022011 11100 00000000 2.
11011011, 11100, and 00000000 are the valid byte except 10022011.
In a system, a byte is a unit of data, that consists of 8 bits, where bits are the smallest unit of storage, bits are represented by just two digits 1 and 0, while bytes, it combination of bites, ranging from 0 and 1.In the given problem, 11011011, is a valid byte since it contains only 1 and 0 a total of 8 bits.11100 can be interpreted as 00011100 so, so it also consists of 8 bits of 1, and similarly =it is the same as 00000000, whereas 10022011, consists of 2, which is not a valid bit.
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Beginning with the graph of f(x) = x2, what transformations are needed to form g of x equals one third times the quantity x plus 3 end quantity squared minus 3 question mark?
The graph of g(x) is narrower than f(x) and is shifted to the right 3 units and down 3 units.
The graph of g(x) is narrower than f(x) and is shifted to the left 3 units and down 3 units.
The graph of g(x) is wider than f(x) and is shifted to the left 3 units and down 3 units.
The graph of g(x) is wider than f(x) and is shifted to the right 3 units and down 3 units.
Answer: The graph of g(x) is wider than f(x) and is shifted to the left 3 units and down 3 units.
Step-by-step explanation: I took the quiz and got it right
The function f(x) = x² is transformed and became g(x) = 3(x+2)² -1 has the graph of g(x) is wider than f(x) and is shifted to the left 3 units and down 3 unit.
What are graph transformations ?By applying suitable graph transformation we can shift, stretch, shrink, a given graph along x and y axis.
According to the given question given a graph f(x) = x² and g(x) is 3(x+3)² - 3.
Let us break transformations of g(x) one by one.
g(x) = 3f(x) which implies it's amplitude or vertical stretch is increased by a factor of 3.
Now, g(x) = 3(x+3)² implies the graph is shifted towards left by 3 units as x + 3 = 0 is x = -3.
Now, g(x) = 3(x+3)² - 3 implies that the whole graph has been shifted 3 units down along the y axis.
Hence the graph of g(x) is wider than f(x) and is shifted to the left 3 units and down 3 units.
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sam is 6 years older than mia. mia is 3 years younger than alice. if sam is 19 years old, how old is alice?
a) 17
b) 16
c) 10
d)18
e) 15
For which function is f(5) = 2?
Answer: f = 2/5 (0.4)
Step-by-step explanation:
1. Re-order terms so constants are on the left
f x 5 = 2 OR f(5)=2
2. Divide both sides by the same factor
f(5)=2 --> 5f/5 = 2/5
Ms. Jordan bought a box of 32 granola bars. Every day each of her three children ate one granola bar for lunch. Now there are only 11 bars left. Which equation can be used to find the number of days, n, that the children ate the bars for lunch? 32 =-11 32 = 3n - 11 ○ 32 = 3 +11 32 = 3n+ 11
The equation that can be used to find the number of days is 32 - 3n = 11
How to determine the equation that can be used to find the number of days?The given parameters are
Initial amount = 32
Rate = 3 i.e. 3 children
Amount left = 11
Let the number of days be n
So, we have:
Initial amount - number of days * rate = amount left
This gives
32 - 3n = 11
Hence, the equation that can be used to find the number of days is 32 - 3n = 11
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