The equation of line which passes through point (-10, 5) and is perpendicular to line "5x - 9y = 27" is "y = (-9/5)x - 13" in slope-intercept form.
To find the equation of line which is perpendicular to the given line, we find its slope. The slope of line can be found by rearranging it into the slope-intercept form, y = mx + b, where m represents the slope.
Given line is : 5x - 9y = 27,
Rearranging the equation to slope-intercept form:
-9y = -5x + 27
y = (5/9)x - 3
The slope of the given line is 5/9.
A line perpendicular to this line will have a slope that is the negative reciprocal of 5/9, which is -9/5.
Now, we have the slope of the line perpendicular to the given line, so, we use the point-slope form of a line, y - y₁ = m(x - x₁), where (x₁, y₁) represents the given point (-10, 5) and m represents the slope (-9/5).
y - 5 = (-9/5)(x - (-10))
y - 5 = (-9/5)(x + 10),
y - 5 = (-9/5)x - 18,
y = (-9/5)x - 18 + 5,
y = (-9/5)x - 13,
Therefore, the equation-of-line is y = (-9/5)x - 13.
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The given question is incomplete, the complete question is
Give the equation of a line that goes through the point (-10, 5) and is perpendicular to the line 5x - 9y = 27. Give your answer in slope-intercept form.
A. x=68. y= 75
B. x= 75. v = 68
C. x= 40, y = 68
D. x= 75. y = 70
Answer:
the answer is B. x=75 y=68
Answer:
B. x = 75, y = 68
Step-by-step explanation:
Please help fill in this chart
The point where marginal cost equals $15 is at the production of the 7th pizza. Therefore, the firm should produce 7 pizzas.
What is the firm's shut-down price?The firm's shut-down price is the price at which the firm is indifferent between producing and shutting down.
Using the table provided, we can calculate the missing values:
Variable Cost:
For 0 pizzas, the variable cost is $0.
For 1 pizza, the variable cost is $10.
For 2 pizzas, the variable cost is $12.
For 3 pizzas, the variable cost is $2.
For 4 pizzas, the variable cost is $1.
For 5 pizzas, the variable cost is $2.
For 6 pizzas, the variable cost is $3.
For 7 pizzas, the variable cost is $13.
For 8 pizzas, the variable cost is $16.
For 9 pizzas, the variable cost is $3.
For 10 pizzas, the variable cost is $6.
For 11 pizzas, the variable cost is $4.
Total Cost: To calculate the total cost, we simply add the variable cost and the fixed cost for each level of output. The fixed cost is not given in the table, so we cannot calculate the total cost.
Average Variable Cost:
To calculate the average variable cost, we divide the variable cost by the level of output. For example, the average variable cost for 1 pizza is $10/1 = $10.
Average Fixed Cost:To calculate the average fixed cost, we divide the fixed cost by the level of output.
Average Total Cost: To calculate the average total cost, we add the average variable cost and the average fixed cost. The firm should produce pizzas up to the point where marginal cost equals marginal revenue.
This is the point where the firm maximizes its profit. From the table, we can see that the marginal cost is increasing as output increases, while the marginal revenue remains constant at $15.
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In this assignment, you will explore how the volume is changed when you adjust the height or radius of a cylinder. You will drag points of reference on an interactive tool to represent various changes. The interactive will display the changed volume visually and in the calculations and dimensions. You will then use what you see happening to answer questions.
The volume of a cylinder changes when you adjust the height or radius as the volume either increases or reduces.
How to illustrate the volume?Let's assume that the height and radius are 14cm and 7cm. The volume will be:
= πr²h
= 3.14 × 7² × 14
= 2154.04cm³
When the radius and height are reduced to 5cm and 9cm, the volume will be:
= πr²h
= 3.14 × 5² × 9
= 706.5cm³
This illustrates that the volume reduces when the height and radius reduces.
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is 55 810 a multiple of 10
Answer:
Yes
Step-by-step explanation:
Any number that ends with a zero is a multiple of 10
Graphing in slope-intercept Form, (find the slope of each line) can you help me?
Answer:
1. 5/2
2. 1/2
3. -1/2
4. -4/3
Step-by-step explanation:
Slope = rise/run
1. 5/2
2. 1/2
3. -1/2
4. -4/3
You’ve learned about function notation in previous lessons, but could you use function notation to add two functions? How do you think you could simplify f(x) + g(x) if f(x) = 3x + 2 and g(x) = 4x? What about a function of a function such as f(g(x))? How do you think f(g(x)) could be simplified? What situations can you think of where combining functions would be useful?
And yes, it's has to be explained in sentence, and has to be SIMPLIFY
We would substitute the expression for g(x), which is 4x, into the expression for f(g(x)), giving f(g(x)) = 3(4x) + 2 = 12x + 2.
What is function ?
Function can be defined in which it relates an input to output.
To simplify f(x) + g(x) where f(x) = 3x + 2 and g(x) = 4x, we can simply add the two functions by adding their corresponding terms. Therefore, f(x) + g(x) = 3x + 2 + 4x = 7x + 2.
To simplify the function f(g(x)), we would first substitute g(x) into the expression for f(x) wherever x appears, giving f(g(x)) = 3(g(x)) + 2
Then, we would substitute the expression for g(x), which is 4x, into the expression for f(g(x)), giving f(g(x)) = 3(4x) + 2 = 12x + 2.
Combining functions can be useful in many situations, such as in physics or engineering where multiple variables or parameters are involved in a single equation. It can also be useful in finance or economics where the behavior of multiple factors needs to be modeled in a single function.
Therefore, we would substitute the expression for g(x), which is 4x, into the expression for f(g(x)), giving f(g(x)) = 3(4x) + 2 = 12x + 2.
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Ex2. Prime Numbers ( 40 points) You will implement in this exercise an ancient Greek algorithm for finding the prime numbers less than a given number. (ask your instructor about the name of the algorithm after class!) Reminder: A prime number is a positive integer greater than 1 that is divisible only by itself and by 1 . Here is how the algorithm works assuming we would like to find the prime numbers ≪=20 : 1. Initially, assume that all the numbers are prime by marking them with 1 (0 means not prime). 2. For each number that is marked as prime, starting at 2, mark all of its multiples as not prime. which marks all the multiples of num in the array (of size n ) as not prime (excluding num). 2. Write a program that prints the prime numbers κ=150 : a) Create and initialize an array for marking the numbers with 0 (not prime) or 1 (prime). b) For every number 2<=i<150, use function cross_multiples_out to mark all of its multiples as not prime. c) Pass through the array and print the numbers marked as prime.
Previous question
The code efficiently identifies prime numbers using the ancient Greek algorithm. It initializes an array, marks the multiples of each prime number as non-prime, and then prints the prime numbers.
This algorithm demonstrates a straightforward and efficient method for finding prime numbers within a given range.The ancient Greek algorithm for finding prime numbers less than or equal to a given number is implemented in the provided Python code. The algorithm follows a simple approach of marking numbers as prime or non-prime.
It starts by assuming all numbers as prime and then proceeds to mark the multiples of each prime number as non-prime. The code initializes an array where each element represents a number and marks them all as prime initially. Then, it iterates over each number from 2 to the given number, checking if it is marked as prime. If it is, the algorithm crosses out all its multiples as non-prime. Finally, it prints the numbers that remain marked as prime.
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The diameter and height of this cylinder are equal to the side length, s, of the cube in which cylinder is inscribed. What is the expression for the cylinders volume ?
Answer:
1/4πs^3
Step-by-step explanation:
The volume of a cylinder = πr^2h.
Here its height h = s and its radius r = 1/2 diameter = s/2.
So it's volume is π(s/2)^2s
= 1/4πs^3.
Answer:
The correct option for plato is A
Step-by-step explanation:
Find the solution of the system of equations.
- 7x – 4y = -44
7x - 3y = 16
Answer:
{x,y} = {5,8}
Step-by-step explanation:
[1] 7x-3y+5=16
[2] 4y=3x+17
[1] 7x - 3y = 11
[2] -3x + 4y = 17
// Solve equation [2] for the variable y
[2] 4y = 3x + 17
[2] y = 3x/4 + 17/4
// Plug this in for variable y in equation [1]
[1] 7x - 3•(3x/4+17/4) = 11
[1] 19x/4 = 95/4
[1] 19x = 95
// Solve equation [1] for the variable x
[1] 19x = 95
[1] x = 5
// By now we know this much :
x = 5
y = 3x/4+17/4
// Use the x value to solve for y
y = (3/4)(5)+17/4 = 8
in statistical hypothesis testing, the null hypothesis and the alternative hypothesis are stated in terms of:
The correct answer is 'in statistical hypothesis testing, the null hypothesis and the alternative hypothesis are stated in terms of population parameter.
A population parameter is always used to express a statistical hypothesis: The null hypothesis is true if the test statistic's value is within the nonrejection zone.
We look for evidence supporting the null hypothesis when testing a statistical hypothesis. The null hypothesis and the alternative hypothesis are the two variants of the hypothesis that are typically used in research (called the experimental hypothesis when the method of investigation is an experiment).
According to the alternative hypothesis, a population parameter does not equal the given value. Usually, this number is zero, which is the null hypothesis value for an effect of zero.
You can reject the null hypothesis and favour the alternative hypothesis if your sample includes enough evidence to support it.
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suppose a fair die is rolled 11 times. (a) what is the probability p that a 3 will occur any given time the die is rolled? (enter your probability as a fraction.)
The probability that a 3 will get any given times the dies is rolled is 0.17x
Total number of outcomes in one roll = 6
The favorable outcome = 3
The probability = Number of favorable outcomes / Total number of outcomes
Substitute the values in the equation
The probability of getting 3 in first roll= 1 / 6
Total number of times the die rolled = 11 times
The probability of getting 3 in all given times = (The probability of getting 3 in first roll )^ (Number of times the die rolled)
Consider the number of rolls as x
Substitute the values in the equation
The probability of getting 3 in all the given times = (1/6)^x
= 0.17x
Hence, the probability that a 3 will get any given times the dies is rolled is 0.17x
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PLEASE HELP ME!!! Will give Brainliest!
NO LINKS
Answer: 1
3/6 + 3/6
1/2 + 1/2
2/2
1
i have the answer for 6 just need 7 and 8
Answer:
7. x=11/3
8. no solutions
Step-by-step explanation:
7.
\(2*\sqrt{3x-2} =6\)
Divide both sides by two
\(\sqrt{3x-2}=3\)
Square both sides
\(3x-2=9\)
Simplify
\(x=\frac{11}{3}\)
8.
\(\sqrt{43-x}+10=1\)
Subtract 10 both sides
\(\sqrt{43-x}=-9\)
Impossible to have a negative answer when square rooting, no solutions
can someone pls help for brainlest
Answer:60
Step-by-step explanation:20x6=120 120/2=60
Answer:
200 cubic centimetres
Step-by-step explanation:
Length = \(20 \: cm\)
Width = \(6 \: cm\)
Height = \(5 \: cm\)
Volume = \( \frac{1}{3} \times w \times l \times h\)
\( = \frac{1}{3} \times 20 \times 6 \times 5\)
\( = \frac{20}{3} \times 6 \times 5\)
\( = \frac{20}{3} \times (3(2)) \times 5\)
\( = 20 \times 2 \times 5\)
\( = 40 \times 5\)
\( = 200 \: {cm}^{2} \)
Hope it is helpful...If a person sees it as normal that they must approach their boss in a much different way than they approach other co-workers, they probably come from a(n) _______.
If a person sees it as normal that they must approach their boss in a much different way than they approach other co-workers, they probably come from a hierarchical or power-distance culture.
In hierarchical or power-distance cultures, there is a significant power distance between individuals in different positions of authority. This cultural perspective acknowledges and accepts unequal power distribution, where individuals in higher positions are seen as having more authority and are treated with more formality and respect. In such cultures, it is customary for individuals to adjust their communication style and behavior when interacting with people in higher positions, such as their boss. They may use more formal language, show deference, and follow established protocols to demonstrate respect for authority. This reflects the hierarchical nature of the culture and the understanding that there is a different social dynamic when interacting with individuals in positions of power. On the other hand, in cultures with low power distance, there is a more egalitarian approach to authority, and individuals may feel more comfortable interacting with their boss in a similar way to how they interact with other co-workers. In such cultures, there is a greater emphasis on equality and minimizing the power gap between different positions within the organization.
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A car traveling at a rate of 54 miles per hour. What is the car's rate in feet per secondHow many fect will the car travel in 2 seconds? In your computations use the fact that mile equal to 5280 feet. Do not round your answers
The car's speed in feets per second is 79.2, Hence, it will cover a distance of 158.4 feets in 2 seconds.
Car's speed in miles per hour = 54 miles per hour
Recall :
1 mile = 5280 feets 1 hour = 3600 secondsCar's rate in feet per second
54 miles per hour = (54 × 5280 × 1/3600) feet per second = 79.2 feets per second. Distance in 2 seconds :Distance = speed × time Distance = 79.2 × 2 = 158.4 feetsTherefore, the car will cover a distance of 158.4 feets in 2 seconds.
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HOPE is a parallelogram. If m<O = 9x+24 and m<S = 3x + 12, then what are the measures of all the angles of the parallelogram?
The measures of all the angles of a parallelogram are equal, i.e. they are 180° each.
If O is one of the angles, then its opposite angle is P.
Likewise, if E is one of the angles, then its opposite angle is H.
Therefore, we have the following measurements:
OP = 9x + 24SH
= 3x + 12
OP + H = 180°
⇒ 9x + 24 + 3x + 12 = 180°
12x + 36 = 180°
12x = 144°
x = 12°
OP = 9(12) + 24
= 132°
SH = 3(12) + 12
= 48°
HE = OP
= 132°
∠H = ∠E
= 180° - ∠OP
= 180° - 132°
= 48°∴
The measures of all the angles of the HOPE parallelogram are 132°, 48°, 132°, and 48° respectively.
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For what value of the constant c is the function f continuous on (-infinity, infinity)?
To determine the value of the constant c that makes the function f continuous on the interval (-∞, ∞), we need to consider the conditions for continuity.
For a function to be continuous at a point, three conditions must be satisfied:
The function must be defined at that point.
The limit of the function as x approaches the point must exist.
The value of the function at the point must be equal to the limit.
In this case, we don't have a specific function provided, so we cannot evaluate the conditions directly. The value of the constant c will depend on the specific function being considered.
Different functions may have different requirements for continuity, and the value of c that ensures continuity will vary accordingly. Without the specific function, it is not possible to determine the value of c that makes the function continuous on the interval (-∞, ∞).
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What is the quadratic function that fits the following data: (4, 9), (6, 21), (–2, –3)
The equation that fits into the given data is
\(x^2+2x-6=0 \\\)
Quadratic EquationThis is an algebraic equation or expression that have a second degree as it highest power. An example of quadratic equation is given below
\(f(x)=ax^2+bx+c\\\)
The given data are set of points attached to a quadratic equation and we can use it to find the quadratic equation.
given that \(f(x)=ax^2+bx+c\\\)
Data;
(4,9)(6,21)(-2,-3)The point at (4)(9) will give us the equationLet's substitute the value of x and y in the equation and solve
\(f(4)=9\\a(4)^2+b(4)+c=9\\16a^2+4b+c-0...equation 1\)The point at(6)(21) will give the equationLet's substitute the value of x and y in the equation and solve
\(f(6)=21\\a(6)^2+b(6)+c=21\\36a+6b+c=21...equation 2\)
The point at (-2)(-3) gives the equationLet's substitute the value of x and y in the equation and solve
\(f(-2)=-3\\a(-2)^2+b(-2)+c=-3\\4a-2b+c=-3...equation 3\)
We have the following system of equation
\(16a+4b+c=9...equation1\\36a+6b+c=21...equation2\\4a-2b+c=-3...equation3\\\)
When we solve the above system of equation either using elimination or substitution method, we have
\(a=1/2, b=1, c= -3\)
substituting these values into f(x)
\((\frac{1}{2})x^2+(1) + (-3)=0\\\frac{1}{2}x^2+x-3=0\\\)
multiply through by 2
\((2)\frac{1}{2}x^2+(2)x-(2)3=0\\x^2+2x-6=0\)
The quadratic equation is \(x^2+2x-6=0\)
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fine the sum of the first 8 terms of the arithmetic series 2+7+12+...
Answer:
156
Step-by-step explanation:
s8 = n/2 [2t + (n-1)(d)]
= 8/2 [2(2) + (8-1)(5)]
= 4 [4 + (7)(5)]
= 4 (4 + 35)
= 4 (39)
= 156
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Answer:
B
Step-by-step explanation:
If 3 times the people attended the 2nd meeting then you would do
3 x p = 51
3 x 17 = 51
Answer:
C
Step-by-step explanation:
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Which relationship describes angles 1 and 2?
supplementary angles
complementary angles
vertical angles
adjacent angles
Answer:
vertically opposite angles
Answer:
it's is a vertical angel they are equal each other ( = )
\(1 = 2\)
Twenty increased by the product of four and a number is equal to thirty-two. Find the number.
Answer:
the number would be 3 because you start at 20 and then 4 times something will make 32 so 3 times 4 equals 12 and 20 plus 12 equals 32.
A confidence interval is made from a __________ to estimate the truth for a ______________.
Answer:
A confidence interval is made from a sample to estimate the truth for a population.
A confidence interval is a statistical interval that is found from analyzing sample data to justify a larger statement about a great group of people or things. Common confidence intervals are 95% and 99%.
assume that a researcher wants to select individuals from a population so that an equal number of people from different ethnic groups (e.g., african-american, hispanic, asian-americans) are selected. the procedure the researcher would use is called
The procedure the researcher will use is called stratification sampling.
What is Stratified Sampling?A stratified sample is created by separating a population into similar subpopulations (strata) and taking a representative sample from each. Stratified sampling is used by researchers to ensure that specific subgroups are represented in their samples. Additionally, it helps them estimate the characteristics of each group precisely. This method is used in many surveys in order to better understand the differences between subpopulations. The term stratified sampling is also used to refer to stratified random sampling.
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I sold a pencil case for $2.15.i bought it for 68 cents,what was my profit?
Answer:
1.47
Step-by-step explanation:
2.15
-0.68
borrow from the one now you have 15 minus 8 or 7next borrow from the 2 now you have 11 minus 6 or 5 then drop the one and drop the decimal hope this helped
your friend, a male soccer player weighing 86 kg, is trying to determine how many carbohydrates should be consumed 2 hours before his soccer game. based on his weight, how many grams of carbohydrate would you recommend for your friend 2 hours before the soccer game?
In linear equation, The carbohydrate intake ranges between 129-286g
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
A diet with adequate proteins and carbohydrates can be given to an athlete (2-3 hours) before a sport.
Generally, 2-3g/kg body weight of Carbohydrates can be included in the diet (depending on the weight and height.
Here, the person weighs 86kgs (assuming the majority of the bodyweight is muscle mass)
Therefore, average carbohydrate intake can be – 85* 2 = 170g; or, 85*3 = 255g
Thus, the carbohydrate intake ranges between 129-286g
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Can anyone state the vertex of the graph?
There is no vertex in the graph and the transformations from are
Vertical shift down 2Horizontal shift left 4How to determine the vertex of the graph?By definition, a graph that has a vertex would have an obvious maximum or minimum point on it
In this case, there is no point that can be regarded as the minimum or the maximum in this graph
This means that the graph has no maximum or minimum; in other words, there is no vertex
The transformation from the parent functionThe parent function of the above graph is a cubic function
A cubic function passes through the origin
However in this graph, we can see that the graph is 4 units to the left of the origin and 2 units below the origin
This means that the transformation is (x - 4, y - 2)
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I am an odd number. Take away one letter and I become even. What number am I?
Answer:
I think u old number is 7 it is my luck number