Answer:
5/8
Step-by-step explanation:
Line f passes through the points (10, 7) and (5, 15)
Slope of line f = (15 - 7)/(5 - 10) = 8/(-5) = -8/5
line g is perpendicular to line g.
slope of line g = -1/(slope of line f)
=-1/(-8/5)
= 5/8
A point lies on AB and is 1/4 the distance from A to B. Point A is located at (2, 8) and point B is located at (8,5) What are the coordinates of this point?
 (3 1/2,7 1/4)
 (2 1/2, 3 1/4) 
(3 1/3, 4 1/3) 
(6 1/2, 5 1/4)
Answer:
d is da answer you is welcome
What is the height of the trapezoid if the Area = 26 un²?
                                                Answer:4
Step-by-step explanation:
H= 2*26/5+8
a rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a wire fence. using 100 meters of fencing, what is the largest rectangular region that can be enclosed? give both the dimensions and the area.
Dimensions of the rectangular plot are 25' × 50'.
The area of a rectangular plot is 1250m.
What is the dimension of the rectangle?
Four perpendicular sides make up the two-dimensional geometric shape of a rectangle. Two of the four sides are distinct, and the other two resemble the distinctive sides. The dimensions of a rectangle are these two distinctive sides.
Here, we have
100 meters fencing
We have to find the dimensions and area of the rectangular plot.
so, 2x + y = 100
y = 100 - 2x
A = xy
A = x (100 - 2x)
A = 100x - 2x²
We differentiate w.r.t x, and we get
A' = 100 - 4x
We put, A'= 0
100 - 4x = 0
x = 25
y = 50
A = xy
A = 25 × 50
A = 1250m
Hence, the dimension of the rectangular plot is 25' × 50'.
The area of a rectangular plot is 1250m.
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vertex form of y=-2x^2+16x-24
Kathleen cycled a total of 18 kilometers by making 9 trips to work. After 21 trips to work, how many kilometers will Kathleen have cycled in total?
how close to −9 do we have to take x so that the following is satisfied? (give the largest possible value.) 1 (x 9)4 > 10,000
The largest possible value of x that satisfies the inequality is -8.9.
The problem statement involves an inequality that needs to be satisfied. The inequality is given as:
1 > 10,000 (x + 9)⁴
To find the largest possible value of x that satisfies this inequality, we need to determine how close x needs to be to -9. The absolute value of the difference between x and -9 is represented as:
|x - (-9)|
We can use this expression to determine the distance between x and -9. The inequality can be simplified by dividing both sides by 10,000:
1/10,000 > (x + 9)⁴
Taking the fourth root of both sides, we get:
(1/10,000)¹/₄ > |x + 9|
Simplifying further, we get:
0.1 > |x + 9|
Now we can use the definition of absolute value to write two separate inequalities:
x + 9 < -0.1 or x + 9 > 0.1
Solving for x in the first inequality, we get:
x < -9.1
Solving for x in the second inequality, we get:
x > -8.9
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Pls help me Like I rly need it now! And pls explain how you got the answer I will give 50 points.
                                                Answer:
900
Step-by-step explanation
multiply all the sides together
Answer:
12.5 units²
Step-by-step explanation:
Step 1: Draw a rectangle enclosing the shape and find it's perimeter.
The perimeter of a rectangle is all the sides added together.
P = 7 + 5 + 7 + 5 = 24 units².
Step 2: Determine the area of the triangles on the outside and add them together. There are 3.
Area of a triangle: \(A = \frac{ab}{2}\).
A = area
a = leg 1
b = leg 2
Triangle 1:
\(A = \frac{3(2)}{2}\\\\A = \frac{6}{2}\\\\A = 3\)
3 units²
Triangle 2:
\(A = \frac{3(2)}{2}\\ \\A = \frac{6}{2}\\\\A = 3\)
3 units²
Triangle 3:
\(A = \frac{5(1)}{2}\\\\A = \frac{5}{2}\\\\A = 2.5\)
A = 2.5 units²
Step 3: Add them together and subtract the total from the perimeter of the rectangle.
Perimeter of rectangle - total area of triangles = perimeter of the shape in question.
24 - (3 + 3 + 2.5) = P
24 - 11.5 = P
12.5 = P
Now, there are other ways to do it, but this is the way I chose.
The answer is 12.5 units².
Now you're done!
1. Escribe las razones de los siguientes enunciados: a. En una clase de un colegio cada pelota es utilizada por cada equipo de cinco niños, o sea que tenemos cinco alumnos por cada pelota de fútbol. b. En un estacionamiento hay coches de fábricas asiáticas y de fábricas americanas. En total hay 3060 coches, de los cuales, 1740 son de fabricación asiática y el resto, 1320, son de fabricación americana. (es urgentee.. Es para una tarea)
Answer:
a. 5 n/p o 1 p/ 5n
b. 1720 autos asia/3060 autos, o 1320 autos USA/3060 autos
Step-by-step explanation:
Se entiende como razón a la fracción que compara dos elementos entre sí.
Por ejemplo en una clase de 24 alumnos donde 15 son mujeres y 9 son varones, podemos decir que:
- Por cada 15 mujeres hay 9 varones 9/15
- Por cada 9 varones hay 15 mujeres, 15/9
Para el ejercicio a. nos cuentan que 1 pelota es utilizada cada 5 niños, por lo que la razón la podemos escribir como 1/5, 1 pelota cada 5 o directamente 5, ya que por cada 5 alumnos, tenemos 1 pelota.
El ejercicio b es más fácil: ya tenemos el total de autos, 3060. Entonces:
- Cada 3060 autos, 1720 son asiáticos
- Cada 3060 autos, 1320, son americanos
This year, Clean Machine used 4,508.8 gallons of soap. That is 16.5% less than last year, How many gallons of soap did the company use last year? (round your answer to the nearest tenth)
The soap used by the machine last year is 5399.76 gallons.
What are percentages?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. In this case, the percentage symbol "%" is read as "percent" or "percentage." This percent symbol can always be changed to a fraction or decimal equivalent by using "divided by 100."
Let the soap used last year = x.
Then, according to the given condition:
4,508.8 = x (1 - 16.5%)
4,508.8 = x (83.5/100)
x = 4,508.8(100) / 83.5
x = 5399.76
Hence, the soap used by the machine last year is 5399.76 gallons.
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samantha and some friends go to a fair samantha spends 1/2 of her money on rides. she then spends $10 on food. At the end of the day, samantha has $1 remaining. how much money did samantha bring to the fair?
please add work :)
Answer:
$22
Step-by-step explanation:
If she spent 10 bucks and has 1 buck left, add it together and she has 11 bucks if she spent half of her money multiply by 2 and you get 22.
compressed by a factor
of 1/2, horizontally and
vertically translated 5 units
can someone help me find the equation 
Drag the correct equation for each graph into the blank spaces. Remember you should convert to slope intercept
form first!
In both cases, the slope (m) is the coefficient of the x-variable, and the y-intercept (b) is the constant. In the first equation, the slope (m) is 2, and the y-intercept (b) is -3. In the second equation, the slope (m) is 3, and the y-intercept (b) is 6.
What is graph?Graph is a data structure that consists of nodes (vertices) and edges (connections between nodes). Graphs are used to represent networks, such as social networks, transportation networks, and communication networks. Graphs provide a way to visualize relationships between data points and can be used to discover patterns in data and make predictions. Graphs are a powerful tool in data science and can be used to analyze complex systems.
This is happening because the equations represent the linear relationships between the variables of the graphs. The first equation is in slope-intercept form, and can be used to calculate the y-value of a given x-value. The equation for the second graph is also in slope-intercept form, and can be used to calculate the y-value of a given x-value. 
In both cases, the slope (m) is the coefficient of the x-variable, and the y-intercept (b) is the constant. In the first equation, the slope (m) is 2, and the y-intercept (b) is -3. In the second equation, the slope (m) is 3, and the y-intercept (b) is 6. 
These equations represent the linear relationships between the variables of the graphs. The slope of the line is the rate of change between the x- and y-values, while the y-intercept is the starting point of the line. By using the equations, we can calculate the y-value of any given x-value on the graph, and thus accurately represent the linear relationships between the variables.
The diagram is given below.
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Complete questions as follows-
                                                            
                                                            A triangle has vertices (0,0), (2,4), and (5,1). What are the coordinates of the circumcenter?
I need steps pls
For the given triangle the coordinate of circumcenter is obtained as (1/3, 7/3).
What is circumcenter of a triangle?The circumcenter for a triangle is defined as the center of the circle that touches all the vertices of the triangle. It is also found as the point of intersection of all of the perpendicular bisectors of the sides of triangle. All the vertices of the triangle are equidistant from the circumcenter.
Suppose the coordinate of the circumcenter be (x, y).
Now, all the vertices of the triangle should be equidistant from the circumcenter.
The equation can be written using distance formula as follows,
(x - 0)² + (y - 0)² = (x - 2)² + (y - 4)²
⇒ 4x + 8y = 20
⇒ x + 2y = 5 (1)
And, (x - 0)² + (y - 0)² = (x - 5)² + (y - 1)²
⇒ 10x + 2y = 26
⇒ 5x + y = 13 (2)
Multiply equation (2) by 2 nd then subtract equation (1) to get,
2(5x + y) - (x + 2y) = 13 × 2 - 5
⇒ 9y = 21
⇒ y = 7/3
Substitute y = 7/3 in equation (1) to get,
x + 2 × 7/3 = 5
⇒ x = 5 - 14/3
⇒ x = 1/3
Hence, the coordinate of the circumcenter is given as (1/3, 7/3).
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Consider a perfectly competitive firm that produces output from labor and capital under the following conditions: - Y=100K 
 1/2
  +40L 
 1/2
  - P=$2 - W=$8 - R=$10 a. Suppose that the firm has decided to employ 25 units of labor and is currently employing pu 
 0
  
  units of capital. What will its profit be at those employment levels? b. What equation describes the profit-maximizing quantity of capital for this firm? c. To raise profits, should the firm increase its capital employment (from 50 to something higher), or decrease it? Explain.
The profit of a perfectly competitive firm is calculated using the production function. The firm should adjust capital employment based on marginal returns and costs to maximize profits.
To calculate the profit, substitute the given values of labor, capital, and input prices into the production function and subtract the total cost from total revenue.
The profit-maximizing quantity of capital can be determined by taking the derivative of the profit function with respect to capital and setting it equal to zero.
This will provide the optimal capital level that maximizes profits. Comparing the profit at the current capital level to the profit at other potential capital levels can indicate whether increasing or decreasing capital employment will result in higher profits.
This decision should be based on evaluating the marginal returns of capital, considering factors such as diminishing returns and the cost of additional capital units.
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If n+ 2 is divisible by 2 then which statement is always True?
A- n is an even number
B - n is an odd number
C- n is a prime number
D- b is equal to n + 1.
Answer:
the right answer is A
Step-by-step explanation:
the even number can be always divided by 1,2 and themselves
the bookstore marked some notepads down from $2.00 but still kept the price over $1.00. it sold all of them. the total amount of money from the sale of the pads was $29.45. how many notepads were sold? what was the price of each notepad?
There were 13 notepads, each of which cost $1.05 when the bookstore reduced the price of various notepads from $2.00 to $1.00.
Given that,
The bookstore reduced the price of various notepads from $2.00 to $1.00 while maintaining the price. The whole lot was sold. The selling of the pads generated a total profit of $29.45.
We have to find what number of notepads were sold and how much did each notepad cost.
We know that,
One approach to solving this issue is to divide $29.45 by each of the values from $1.01 to $1.99. That is the price for each notepad if one of them fits evenly with no leftovers. The number of pads is the quotient (result of division). The number has to be placed evenly because we cannot use half of the pad (leave no remainder).
Although we can check each of them, I realized that $29.45 ends in a 5 and is therefore divisible by 5, so I chose to check 1.05 as a potential price and it entered evenly. 13 is the quotient.
Therefore, There were 13 notepads, each of which cost $1.05 when the bookstore reduced the price of various notepads from $2.00 to $1.00.
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1. Find the volume of the rectangular prism.
4 ft
6 ft
8 ft
                                                Answer:
192\(feet^3\)
Step-by-step explanation:
The formula for the area of a rectangle is : \(length*width\)
In order to work out the volume you would first need to work out the area. You can do this by multiplying the length of 6 by the height of 4, this gives you 24.
To workout the volume you would need to multiply the area of 24 by the width of 8, this gives you 192.
1) Multiply 6 by 4.
\(6*4=24\)
2) Multiply 24 by 8.
\(24*8=192 feet^3\)
1/6(x+6)=11 whats the x??
Answer:
60
Step-by-step explanation:
1/6(x+6)=11
1/6x+1=11
1/6x=11-1
1/6x=10
1/6/1/6=10/1/6
10x6=60
pls brainliest
Identify an equation in standard form for an ellipse with its center at the origin, a vertex at (9, 0), and a co-vertex at (0, 1).
The equation in standard form for the given ellipse is: \(\frac{x^2}{81} + {y^2} = 1\) To identify an equation in standard form for an ellipse with its center at the origin, a vertex at (9, 0), and a co-vertex at (0, 1),
we can use the following steps:
Step 1: Determine the values for a and b.
The distance between the center and the vertex is the value of a, which in this case is 9. The distance between the center and the co-vertex is the value of b, which in this case is 1.
Step 2: Use the values of a and b to write the equation in standard form.
The equation for an ellipse with its center at the origin can be written in standard form as:
\(\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1\)
Substituting the values of a = 9 and b = 1, the equation becomes:
\(\frac{x^2}{81} + \frac{y^2}{1} = 1\)
Simplifying further, we get:
\(\frac{x^2}{81} + {y^2} = 1\)
Therefore, the equation in standard form for the given ellipse is:
\(\frac{x^2}{81} + {y^2} = 1\)
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Which one is right? and the red one is wrong btw
                                                Answer:
B
Step-by-step explanation:
The expression models the final price of a television set with an instant rebate in a state that charges a sales tax. what is the expression that represents the price of the television set after the instant rebate is applied and before the tax is applied? question 4 options: x - 300 0.07x x 0.07x (x - 300)
C x -300 is the expression that represents the price of the television set after the instant rebate is applied and before the tax is applied
We are given that an expression models the final price of television set with an instant rebate in a state that charges a sales tax.
0.07x+(x-300)
The sale tax in on the original price .
We have to find an expression that represents the price of the television set after the instant rebate is applied but before the tax is applied.
Let x be the original price of television.
Instant rebate is subtracted from original price x.
Then , the cost of the television set=x-300
In the given expression 0.07 x is sales tax. where tax is 7 % on the original price x.
Sales tax is added to the price of television set.
Hence, option C is true and answer is C x -300
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 State the property that justifies the following statement.
If  7(x-3)=35, then  35=7(x-3). 
The property that justifies the following statement, if 7(x-3)=35 then 35=7(x-3) is the symmetric property.
Symmetric property is one of the properties of equality which states that if there is an equality sign (=) between two values or numbers, then the two values will always remain equal even if you change the sides of the values. Therefore if ab = cd, then cd = ab
Hence, according to this property, the left side of the equation can be transferred to the right side and the right side of the equation can be transferred to the left side as the order of the equation can be ignored.
The symmetric property also justifies that if the values on the two sides are not equal, then they will remain unequal even if the sides are changed. That is if ab ≠ cd, then cd ≠ ab.
So, according to the symmetric property, the statement, if 7(x-3)=35 then 35=7(x-3) is valid.
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4
58°
90°
32°
6
5
Find the measure of exterior angle #6
148
122
90
58
                                                Answer:
The measure of exterior angle is 6 is 122
5. Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2,000. The number of fish tripled in the first year. (a) Assuming that the size of the fish population satisfies the logistic equation, find an expression for the size of the population after t years. (b) How long will it take for the population to increase to 1000? (Round your answer to two decimal places.
(a) Assuming that the size of the fish population satisfies the logistic equation, find an expression for the size of the population after t years.
Logistic equation: dp/dt=rP(1−P/K)Where, P = population r = the rate of growth K = the carrying capacity
The initial population = 80 fish. The carrying capacity = 2000 fish. The number of fish triples in the first year, which is 3 × 80 = 240 fish. Initial population, P0 = 80 fish. So, P0 = 80 fish.
P(t) = ?I
f the population is tripled, then the value of P(1) = 240.Substituting P0 = 80, P(1) = 240, and K = 2000 in the logistic equation. dp/dt=rP(1−P/K)dp/dt=rP−rP2/K. Now, we need to solve the differential equation. dp/dt=rP−rP2/K
Separate the variables. P−P2/K=dP/rdt Integrate both sides with respect to time. dt∫rddP=P−P2/K∫ddP
Here, the integral of dP/P(1−P/K) is ln|P−K|−ln|P|. The integral of dP/P is ln|P|, and the integral of ddP is t.+C=−1Kr+ln|P−K|−ln|P| Simplifying the expression, +C=ln|K/P|+1Kr=ln|K/P|+C1Substituting P = 80 and C1 = r, the constant of integration, the value of C = ln|2000/80|+C1.r=ln|25|+C1Therefore, the general solution is P=K/(1+Ae^−rt)Where A = 1999/80 and r = ln|25|+C1.(b) How long will it take for the population to increase to 1000? (Round your answer to two decimal places.)To find out how long it will take for the population to increase to 1000 fish, substitute P = 1000 in the logistic equation. P=K/(1+Ae^−rt)1000=2000/(1+1999/80e^−rt)Simplifying the expression,1+1999/80e^−rt=2e^−rt=−80/1999ln|−80/1999|=rt Therefore, t = (−1/r)ln|−80/1999|.t = (−1/ln|25|+C1)ln|−80/1999| = 0.15 (rounding off to two decimal places).
Therefore, it will take 0.15 years for the population to increase to 1000 fish.
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Select all the values of m that make the inequality m<7.4 true. 7.40
7.62
6.8
7.09
8.1
The values 7.40, 7.62, and 8.1 are not less than 7.4.
What is inequality?Inequality is a mathematical concept that compares two values or expressions and indicates that they are not equal. Specifically, an inequality is a statement that one value or expression is greater than, less than, or not equal to another value or expression.
Inequalities are often used in algebra and other areas of mathematics to represent constraints, relationships between variables, and many other mathematical concepts.
The inequality m < 7.4 means that m is less than 7.4.
The values of m that make the inequality m < 7.4 true are:
6.8
7.09
The values 7.40, 7.62, and 8.1 are not less than 7.4.
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if two angles are supplementary and congruent, what is the measure of each angle?
Answer:90
Step-by-step explanation:
22. A sandpitJis designed in the shape of a trapezium, with the dimensions shown.
If the area of the sandpit is 14 m², what will be its perimeter
Answer:
hey here is ur answer
the perimeter of a square = 4* side
4*s=14
S = 14/4
s= 7/2 or 3.5
area = side * side
area = (7/2) sq
area = 12.25sq m
Step-by-step explanation:
On a number line, P has coordinate –41 and Q has coordinate 31. Find PQ.
The require value of PQ is
What is number line?A line on which numbers are marked at intervals, used to illustrate simple numerical operations.
Now, given coordinates of two points on number line are
P = -41
Q = 31
Since, PQ is the distance between to points P and Q on a number line.
So, PQ is the absolute value of the sum of their coordinates P and Q.
⇒PQ = |P| + |Q|
⇒PQ = 41 + 31
⇒PQ = 72
Hence the required value PQ is 72.
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4x-1-5-2x
Help!!!!!!!!!!
Answer:
4x-1-5-2x
2x-6
Step-by-step explanation:
Answer:
2x - 6
Step-by-step explanation:
Monetarists believe that Group of answer choices velocity changes in a predictable way. aggregate supply depends on the money supply and velocity. the SRAS curve is upward sloping. velocity changes in a predictable way and that the SRAS curve is upward sloping. All of the above
Monetarists believe that velocity changes in a predictable way, and they also believe that aggregate supply depends on the money supply and velocity.
Monetarists, who follow the economic theories of monetarism, hold several key beliefs about the relationship between money and the economy. Firstly, they argue that velocity, which represents the speed at which money circulates in the economy, changes in a predictable manner. Monetarists believe that changes in the money supply and velocity directly affect economic output and price levels.
Secondly, monetarists assert that aggregate supply, which represents the total quantity of goods and services produced in an economy, depends on both the money supply and velocity. According to this viewpoint, changes in the money supply and velocity can impact the productive capacity of an economy, leading to shifts in aggregate supply.
Lastly, monetarists contend that the short-run aggregate supply (SRAS) curve is upward sloping. This means that in the short run, an increase in the price level will result in a higher level of output supplied by firms. Monetarists argue that this relationship is influenced by the behavior of firms and workers, who adjust their production and wage expectations based on changes in the price level.
In summary, monetarists believe that velocity changes in a predictable manner, and they argue that both the money supply and velocity affect aggregate supply. They also assert that the short-run aggregate supply curve is upward sloping, implying that price level changes can impact output levels in the short term.
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