The slope of the equation is -7. Then the slope of the perpendicular line will be 1/7.
What is the equation of a perpendicular line?Let the equation of the line be y = mx + c. Then the equation of the perpendicular line that is perpendicular to the line y = mx + c is given as y = -(1/m) + d. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line is given as,
y = - 7x
The slope of the equation is -7. Then the slope of the perpendicular line will be
⇒ -(1/(-7))
⇒ 1/7
The slope of the equation is -7. Then the slope of the perpendicular line will be 1/7.
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Please help
5x + 3y = 9 in general form.
jqz-ptqn-jvf
join for your answer and ask
Amir is in charge of getting oranges for today's soccer game. He buys 2 bags with
6 oranges in each bag. He also buys 4 loose oranges.
Choose all the expressions that can be used to find the number of oranges Amir gets
in all.
The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all
What is linear expressions?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.
example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.
Let's represent the total no of oranges by x.
Therefore ,
2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.
an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x
x = 12+4 or x-12 = 4
= 16
therefore amir got 16 oranges in all
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A farmer wants to fence a rectangular area of 12km2 and then divide it in half with a fence parallel to one of its sides of the rectangle find the dimensions of the rectangle that will minimize the amount of fencing used
Answer:1,000 meters
Step-by-step explanation:
If John solved the equation x² - 10x +8=0 by completing the square, one of the steps in his process would
be:
(z-5)² = 17
(z+4)² =10z+16
(z+4)² =10z
(2-5)² = -8
If John solved the equation x² - 10x + 8 = 0 by completing the square, one of the steps in his process would be: A. (x - 5)² = 17.
What is a quadratic equation?In Mathematics, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Next, we would solve the given quadratic equation by using the completing the square method;
x² - 10x + 8 = 0
x² - 10x = -8
In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:
x² - 10x + (-10/2)² = 8 + (-10/2)²
x² - 10x + 25 = -8 + 25
x² - 10x + 25 = 17
By simplifying, we have;
(x - 5)² = 17
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Which expression shows
8 less than the product of
4 times 7?
A: 7 + 7 - 8
C:4x7 - 8
B:8-4x7
D: 4X 7 + 8
Answer:
8 less than the product of 4 times 7 is....
8-4×7.
Answer:
i think b cuz it shows 8 less means minus than product of 4 × 7 so it shows the answer b
HELP MAN PLEASE IM CRYING I NEED HELP I WILL DO ANYTHING
Answer:
see below
Step-by-step explanation:
OK, so volume of LxWxH. so for shape 1 it's 14x8x7=784
Its asking for base times height which is 112 so the blanks are 112 then 7 then 784
the second one is the same. the base is 81 times the height of 9 which is 729
so the blanks are 81 than 9 than 729
the third base is 20 times height of 11 which is 220
so the blanks are 20 than 11 than 220
Using the given information, find the mean, median, and mode.
To calculate the mean, median, and mode, we first need to know what each of these terms represents. The mean, also known as the average, is the sum of all the values divided by the total number of values. To find the mean, add up all of the values and divide by the number of values. The median is the middle value in a set of data when it is arranged in order from least to greatest. The mode is the value that occurs most frequently in a set of data. Here's an example to illustrate these concepts:
Let's say we have a set of data consisting of the following values: 2, 5, 5, 7, 8, 10, 12. To find the mean, we add up all of the values and divide by the number of values. In this case, the sum of the values is 49 (2+5+5+7+8+10+12) and there are 7 values, so we divide 49 by 7 to get the mean, which is approximately 7. To find the median, we first need to arrange the data in order from least to greatest: 2, 5, 5, 7, 8, 10, 12. The middle value is 7, so that is the median. To find the mode, we look for the value that occurs most frequently. In this case, 5 occurs twice, which is more than any other value, so the mode is 5.
In conclusion, the mean, median, and mode are all measures of central tendency that can be used to describe a set of data. The mean is the average value, the median is the middle value, and the mode is the value that occurs most frequently. When calculating these measures, it is important to carefully consider the data and choose the appropriate method for finding each value.
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Larissa is ordering nachos at a restaurant, and the server tells her that she can have up to four toppings: ground beef, black beans, refried beans, and sour cream. Since she cannot decide how many of the toppings she wants, she tells the server to surprise her. If the server randomly chooses which toppings to add, what is the probability that Larissa gets just refried beans and sour cream
Answer:
0.0625
Step-by-step explanation:
Given that :
Number of toppings = 4 (ground beef, black beans, refried beans, and sour cream)
The probability of choosing any particular topping at random from the four is :
Probability = required / total possible outcomes
Hence, P = 1 / 4 = 0.25
Hence, the probability of choosing : getting refried bean and sour cream :
P(refried bean) = 1/4
P(sour cream) = 1/4
P(refried bean and sour cream) = 1/4 * 1/4 = 1/16 =
0.0625
Could someone please give me the answer to this?
Answer:
? = 8.77
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opposite/ hypotenuse
sin 20 = 3/?
? = 3 / sin 20
? =8.7714132
To the nearest hundredth
? = 8.77
We can use the trigonometric function [ sin theta = opposite/hypotenuse ] to solve.
sin(20) = 3/hypotenuse
hypotenuse = 3/sin(20)
hypotenuse = 8.7714...
Round to the nearest hundredth.
8.7714... → 8.77
Therefore, the answer is 8.77
Best of Luck!
I need to know this answer
The equation of the line is y = (3/2)x - 1/2.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Let's say you need to know the answer about the equation of a line that passes through points (3, 4) and (5, 7).
Now,
The equation of a line.
y = mx + c
The line passes through points (3, 4) and (5, 7).
m = (7 - 4) / (5 - 3)
m = 3/2
Slope = 3/2 _____(1)
Now,
(3, 4) = (x, y)
4 = 3/2 x 3 + c
4 = 9/2 + c
c = 4 - 9/2
c = (8 - 9) / 2
c = -1/2
y-intercept = -1/2 ____(2)
Now,
y = mx + c
From (1) and (2),
y = (3/2)x - 1/2
Thus,
The equation of the line is y = (3/2)x - 1/2.
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The complete question.
Find the equation of a line that [passes through the point (2, 4), and (5, 7).
x2 + 7x + 3 = 0 Solve using the Quadratic Formula
Answer:
Step-by-step explan
18+ 4(28) use the properites of operations to evaluate this expressions?
The value of the expression 18 + 4(28) will be 130.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ 18 + 4(28)
Simplify the expression, then the value of the expression will be
⇒ 18 + 4 x (28)
⇒ 18 + 4 x 28
⇒ 18 + 112
⇒ 130
Thus, the value of the expression 18 + 4(28) will be 130.
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Help with the following equation 8x²-6x-5=x
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
Whats the slope of (-3,4) (0, 0)
Answer:
slope = \(-\frac{4}{3}\)
Step-by-step explanation:
Use the slope formula, \(m = \frac{y_2-y_1}{x_2-x_1}\), to find the slope. \(m\) represents the slope. \(x_1\) and \(y_1\) represent the x and y values of one point, and \(x_2\) and \(y_2\) represent the x and y values of another point. So, substitute the x and y values of the points (-3, 4) and (0, 0) into the formula appropriately and solve:
\(m= \frac{(0)-(4)}{(0)-(-3)} \\m = \frac{0-4}{0+3} \\m = \frac{-4}{3}\)
Thus, the slope is \(-\frac{4}{3}\).
Please Help asap!! Point B is between A and C. AB = 2x + 1 and BC = 3x. If the measure of AC is 41, what is the value of x?
Answer:
x=8
Step-by-step explanation:
just do 5x+ 1 =41 solve and your done
Answer:
8 i took the test
Step-by-step explanation:
a/b - c + d if a = 7/8, b= -7/16, c= 0.8 and d= 1/4 write your answer as a mixed number in simplest form? help me please
Based on the best available econometric estimates, the market elasticity of demand for your firm’s product is −2.0. The marginal cost of producing the product is constant at $75, while average total cost at current production levels is $140.
Determine your optimal per unit price if:
Instructions: Enter your responses rounded to two decimal places.
a. you are a monopolist.
$
b. you compete against one other firm in a Cournot oligopoly.
$
c. you compete against 19 other firms in a Cournot oligopoly.
$
Answer:
c. Cournot oligopoly (20 firms):
The optimal per unit price for a Cournot oligopoly with 20 firms is $485.10.
Step-by-step explanation:
Find the product and simplify your answer.
-5n(-2n^4 + 5n - 5)
Answer:
105n-25n^2
Step-by-step explanation:
-5(-16+5n-5)
-5(-21+5n)
=105n-25n^2
A news agent conducted a survey of business magazine subscribers in a town and found that there was
circulation of only three business magazines. He made the Venn diagram below to show the number of
subscribers to each of the three magazines: Board Review, Strategy and Finance, and Investor Journal
394 subscribers are represented in the venn diagram.
What is venn diagram?Venn diagrams are charts that are used to visually represent relationships between sets, operations on those relationships, and set relationships. The Venn diagram, which uses circles that are overlapped, intersected, and not intersected to depict the relationship between sets, was created by John Venn. A set diagram or a logic diagram is another name for a Venn diagram, which shows a variety of set operations such the intersection, union, and difference of sets.
Additionally, it can be used to set items. a depiction of each relationship between several sets. Any closed figure, such as a circle or a polygon (square, hexagon, etc.), can be used to represent a Venn diagram. However, each group is typically represented as a circle.
according to the venn diagram
196+41+21+52+84 = 394
There are 394 subscribers
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how to solve 17/34=7/f
Answer:
cross multiple
17×f=34×7
17f/17=578/17
f=34
PLEASE THESE QUESTIONS ARE KILLING ME AND I NEED HELP ASAP !!
The minimum score Chen can earn on the final test to get at least 80 percentage avg. on the tests is 41.
Define percentage?The denominator of a percentage (also known as a ratio or fraction) is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.
As a percentage, "%" is read as "percent" or "percentage" in this context. This percent symbol can always be converted to a fraction or decimal equivalent by "dividing by 100".
Now in the given question,
Chen has total no of tests = 4
Total marks of the tests = 4 × 50 (Each test is worth 50 points)
= 200 marks.
So, to secure at least 80% average Chen has to score:
80% of 200
= 80/100 × 200
= 80 × 200/100
= 160
Now Chen has already secured 45, 38 and 36 points in 3 tests.
So, the points he has to secure in the last test =
160 - 45+ 38 + 36
= 41
Therefore, the minimum score Chen can earn on the final test to get at least 80% avg. on the tests is 41.
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I need help please anyone can help me???!
2x(x-1) = 2x - 2
Step-by-step explanation:
a thing my math teacher always taught that sticks is that the equals sign is essentially the words is the same as. Think of it this way the sentaxe would be 2x -2 is the same as 2x minus 2. we get this because initially with the parentheses we have to take the number outside which is 2 and multiply everything inside by it. 2 times x equals 2x and 2 times -1 is negative 2.
Mean, Median, Mode, Appropriate Measures, Standard
Deviation
Use this data set to answer all questions on this page.
513, 490, 496, 380, 490, 513, 503, 513, 500, 492
Question 1 Which of the following would be APPROPRIATE measure(s) of center. (1)Mean (2)Median (3) Mode. Question 2 Find the standard deviation. Round your answer to the tenths place(one decimal place)
Answer:
Question 1: The appropriate measures of center for this data set would be (1) Mean and (2) Median. There is no mode in this data set as there are no repeating values.
Question 2: To find the standard deviation, we first need to find the mean:
Mean = (513 + 490 + 496 + 380 + 490 + 513 + 503 + 513 + 500 + 492) / 10 = 494.0
Next, we find the difference between each data point and the mean:
(513 - 494.0), (490 - 494.0), (496 - 494.0), (380 - 494.0), (490 - 494.0), (513 - 494.0), (503 - 494.0), (513 - 494.0), (500 - 494.0), (492 - 494.0)
19, -4, 2, -114, -4, 19, 9, 19, 6, -2
Then we square each difference:
361, 16, 4, 12996, 16, 361, 81, 361, 36, 4
The sum of these squared differences is:
361 + 16 + 4 + 12996 + 16 + 361 + 81 + 361 + 36 + 4 = 14136
To find the variance, we divide the sum of squared differences by the number of data points minus one:
Variance = 14136 / 9 = 1570.7
Finally, we find the standard deviation by taking the square root of the variance:
Standard deviation = √1570.7 ≈ 39.6 (rounded to the tenths place)
Step-by-step explanation:
The average commute to work (one way) is 25 minutes according to the 2005 American Community Survey. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, calculate the probability that a randomly selected commuter spends for the following cases.
1. More than 31 minutes commuting one way.
2. Less than 8 minutes commuting one way.
Answer:
1. 0.1635
2. 0.0026
Step-by-step explanation:
The computation of the probability in the following cases are as follows:
1.
Given that
Mean = 25 minutes
ANd, the standard deviation is 6.1 minutes
So here the z score would be
= (31 - 25) ÷(6.1)
= 0.98
Now the probability is
= P(Z>0.98)
= 0.1635
2. the z score would be
= (8 - 25) ÷(6.1)
= -2.79
Now the probability is
= P(Z<-2.79)
= 0.0026
Write an expression to represent:
One more than the quotient of a number xxx and 444.
Find the area of the shape shown below.
Answer : Hello It Is X/4 + 1
Enjoy.
◊ YusuCr ◊
The expression will be;
⇒ x/4 + 1
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The algebraic expression is,
''One more than the quotient of a number x and 4.''
Now,
The mathematical expression is written as;
The quotient of a number x and 4 = x / 4
So, One more than the quotient of a number x and 4 is written as;
⇒ x/4 + 1
Thus, The expression will be;
⇒ x/4 + 1
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I dont know math whatsoever, so help?
The fraction 11/4 is represented on the right side of zero, and -1/4 is represented on the left side of zero in the number line.
What is number line?A number line is a visual depiction of numbers on a straight line in mathematics. A number line's numerals are arranged sequentially at equal intervals along its length. It is often displayed horizontally and can extend indefinitely in any direction.
The given fraction can be simplified as -1 / 4 = - 0.25,
And 11 / 4 = 2.75,
As - 0.25 is a negative number, it comes on the left side of zero in the number line, and it is less than 1 and greater than 0, so it comes between 0 and 1.
As 2.75 is a positive no, so it comes to the right side of zero, and it is greater than 2 but less than 3 so comes between 2 and 3.
The image of the number line is attached to see the answer.
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the graph of a line is shown on the grid. the coordinates of both point indicated on the graph of the line are integer
Answer:
-5/6
Step-by-step explanation:
By the application of Analytical geometry the rate of change of y with respect to x is -5/6.
what is Analytical geometry?
Analytical geometry is a branch of mathematics that studies geometric shapes and figures using analytical methods. It is a branch of mathematics that uses algebraic techniques to describe geometric shapes and figures. It involves the use of analytical equations and formulas to study geometric concepts. Analytical geometry is used to study the properties of points, lines, angles, circles, and other geometric shapes. It can also be used to solve problems involving angles, distances, and areas of figures. In addition, analytical geometry can be used to find the intersection of two lines, calculate the area of a circle, and calculate the volume of a cylinder. Analytical geometry is a powerful tool used in many scientific and engineering fields.
The rate of change of y with respect to x for this line is -5/6
Therefore -5/6 is rate of change in this graph.
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What is the distance from home to library?
Check the picture below.
\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~5 - 2~~)^2 + (~~7 - 1~~)^2} \implies d=\sqrt{( 3 )^2 + ( 6 )^2} \\\\\\ d=\sqrt{ 9 + 36 } \implies d=\sqrt{ 45 }\implies d\approx 6.7\)
2. The prices of different burgers are shown on this sign.
Based on the information from the menu, is the price of a burger a function of the number of patties?
BURGER MENU
$3.49
Cheeseburger
1 patty, 1 cheese slice
$4.09
Just the Patties.
2 patties, no cheese
$4.59
Double Cheeseburger.
2 patties, 2 cheese slices
$6.79
Big Island
4 patties. 4 cheese sices
Served Anytime
Answer:
If this is what your question is, yes the price of the burger is a function of the number of patties.
Step-by-step explanation:
This is because, the number of patties is the independent variable and the price is the dependent variable. A function can be written as y = f(x), here x is the number of patties. The price of the burger is y. I had this question that is also why I know this is right.
I hope this helps and have a nice day..
There is no direct relationship between the price of the burger and the amount of patties in it.
To determine if the price of a burger is a function of the number of patties, the following calculations must be performed:
First, the price of each hamburger must be divided by the number of patties it has.
Just the patties: $ 4.09, 2 patties and no cheese. 4.09 / 2 = 2.045 per pattie. Cheeseburger: $ 3.49, 1 patty and 1 cheese slice. 3.49 - 2.045 = 1.445 per cheese slice. Double Cheeseburger: $ 4.59, 2 patties and 2 cheese slices. In this case, there is a reduction on the price from the cheeseburger, since if the values were the same, this burger should cost $ 6.98. Big Island: $ 6.79, 4 patties and 4 cheese slices. In this case, the same that for the Double Cheeseburger applies.
Thus, it can be seen that there is no direct relationship between the price of the hamburger and the amount of patties in it.
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NO LINKS!! Please help me with this statement Part 2mm
Answer:
y = 2x² + 8x - 5--------------------------------------
Vertex form of a quadratic function:
y = a(x - h)² + k, where (h, k) is vertex and a - constantGiven (h, k) = (-2, -13) and a point (0, - 5).
Substitute all into equation and solve for a:
-5 = a(0 - (-2))² - 13-5 = 4a - 134a = 13 - 54a = 8a = 2The parabola is:
y = 2(x + 2)² - 13Convert it to the standard form:
y = 2(x + 2)² - 13y = 2(x² + 4x + 4) - 13y = 2x² + 8x + 8 - 13y = 2x² + 8x - 5Answer:
\(f(x)=2x^2+8x-5\)
Step-by-step explanation:
\(\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}\)
Given:
Vertex = (-2, -13)Point = (0, -5)Substitute the given vertex and point into the Vertex formula and solve for a:
\(\implies -5=a(0-(-2))^2+(-13)\)
\(\implies -5=a(0+2)^2-13\)
\(\implies -5=4a-13\)
\(\implies 4a=8\)
\(\implies a=2\)
Substitute the given vertex and found value of a into the Vertex formula:
\(y=2(x+2)^2-13\)
The standard form of a quadratic function is f(x) = ax² + bx + c
Expand the function in vertex form to standard form:
\(\implies y=2(x^2+4x+4)-13\)
\(\implies y=2x^2+8x+8-13\)
\(\implies y=2x^2+8x-5\)