The Slope of the line is 1.
The slope of a line:The slope of a line is a numerical value that shows the stiffness or direction of the line. The formula used to find the Slope of the line is given by
Slope (m) = [ y₂ - y₁] / [ x₂ - x₁]Where (x₁, y₁) and (x₂, y₂) are pairs of points that pass through the line.
Here we have
The pair of points (-6, -5) and (-4, -3)
By using the formula,
The slope of the line = [ y₂ - y₁] / [ x₂ - x₁]
= [ -3 - (-5) ] / [ -4 - (-6) ]
= [ -3 + 5 ]/ [ -4 + 6 ]
= [ 2/2] = 1
Therefore
The Slope of the line is 1.
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The number of trout in a stocked lake is given by the
equation T = 1800 (1.15)n where n is the number of months since the start of the trout season.
a. How many trout will there be in 2.5 months?
b. How many trout were there 2 months before the season opened?
a. To find the number of trout in 2.5 months, we can substitute n = 2.5 into the given equation:
T = 1800 (1.15)^n
T = 1800 (1.15)^2.5
T ≈ 2708.67
Therefore, there will be approximately 2,709 trout in the lake after 2.5 months.
b. To find the number of trout 2 months before the season opened, we need to use a negative value of n that represents the time before the start of the trout season. If we assume that the start of the season is month 0, then 2 months before the start of the season would be month -2. Thus, we can substitute n = -2 into the given equation:
T = 1800 (1.15)^n
T = 1800 (1.15)^(-2)
T ≈ 980.92
Therefore, there were approximately 981 trout in the lake 2 months before the start of the trout season.
dibuja una línea desde cada ecuación hasta la propiedad de igualdad que ilustra
Answer:
Lo siento, como modelo de lenguaje de IA, no tengo la capacidad de visualizar o dibujar gráficos. ¿Puedo ayudarte con algo más?
Which graph represents the solution to the inequality 0.5 is greater than or equal to the product of a number and −0.25?
A. number line with closed circle on 0.5 with arrow shaded right
B. number line with open circle on point on negative 0.5 with arrow shaded left
C. number line with closed circle on negative 2 with arrow shaded right
D. number line with open circle on 2 with arrow shaded left
Option C i.e. number line with closed circle on negative 2 with arrow shaded right represents the solution to the inequality.
What is inequality?
An inequality is a comparison relationship between two or more mathematical expressions.
We are given an inequality as 0.5 is greater than or equal to the product of a number and −0.25.
Let the number be x.
So, from the above information, we get the inequality as
0.5 ≥ -0.25x
Now, on solving the above inequality, we get the following
0.5 ≥ -0.25x
On multiplying by -1, we get
⇒-0.5 ≤ 0.25x
On dividing both sides by 0.25, we get
⇒-2 < x
Hence, Option C i.e. number line with closed circle on negative 2 with arrow shaded right represents the solution to the inequality.
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John is seven years younger than his sister Ann. The sum of their ages is 45. Find John's age. (you do not
need to write the equations)
Answer:
John is 19 and Ann 26
Step-by-step explanation:
to be for real i just counted
How many lines of symmetry are found in the following figure?
O A. no lines of symmetry
OB. 1 line of symmetry
OC. 2 lines of symmetry
D. 4 lines of symmetry
A rectangle has 2 lines of symmetry.
What is a line of symmetry?
A line of symmetry is a line that divides a shape into two mirror-image halves. When a shape is divided by a line of symmetry, each half of the shape is a reflection of the other half, and they are said to be symmetric or mirror images of each other. In other words, if you were to fold the shape along its line of symmetry, the two halves would match up perfectly. The presence or absence of lines of symmetry is an important characteristic of shapes and can be used to identify and classify them.
Calculate the line of symmetry of a rectangle -
A rectangle has two lines of symmetry: one line that runs vertically down the center of the rectangle, and another line that runs horizontally across the center of the rectangle.
To understand why a rectangle has two lines of symmetry, consider that any line that runs down the center of a rectangle will divide it into two halves that are mirror images of each other. This is true for lines that run vertically or horizontally through the center of the rectangle.
In contrast, a rectangle does not have diagonal lines of symmetry. That is, there is no line that can be drawn from one corner of the rectangle to another corner that will divide it into two mirror-image halves.
Overall, a rectangle has two lines of symmetry, and these lines are important to its geometry and properties.
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The weather forecast shows a 70% chance of rain. If it does not rain, there is a 90% chance of going to the beach. What is the probability of going to the beach?
Answer:
40% chance
I hope I'm right srry if its wrong
. A survey was conducted to determine the types of occupations of the 1,200
residents of a town. The types of occupations are shown in the circle graph.
Occupations
Retail
25%
Education
15%
Industry
25%
Other
30%
Government
Based on the circle graph, how many more residents have an occupation in
industry than have an occupation in government?
A.360
B.300
C.240
D. 20
240 more residents have an occupation in industry than have an occupation in government. The solution has been obtained by using arithmetic operations.
It is believed that the four fundamental operations, often referred to as "arithmetic operations", can describe all real numbers. The four mathematical operations that produce the quotient, product, sum, and difference are divide, multiply, add, and subtract.
We are given a graph determining the types of occupations of the 1,200 residents of a town.
Percentage of residents having occupation in government is:
100% - 25% - 15% - 25% - 30% = 5%
Number of residents having occupation in industry is as follows:
25% of 1200 = 300
Similarly, number of residents having occupation in government is:
5% of 1200 = 60
Number of more residents that have occupation in industry than have an occupation in government is:
300 - 60 = 240
Hence, 240 more residents have an occupation in industry than have an occupation in government.
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The circle graph was missing in the question which has been attached below.
Does it represent a function yes or no because
Consider the equation y^2+24= - 11y. What is the positive value of the square root of the product of the roots?
Therefore , the solution of the given problem of equation comes out to be the 2 * √6 is the positive value of the square root of the sum of the roots.
How do equations work?Mathematical formulas frequently use the same variable letter to try to impose uniformity between two claims. Many academic numbers are shown to be equal using mathematical expression, also known as assertions. The normalise divides 12 and b + 6 into two parts using the result y + 6 = 12 as an illustration. It is possible to determine the connection between each sign component and the number of lines. The significance of a symbol usually contradicts itself.
Here,
By modifying the equation y2 + 24 = -11y, we can first convert it to standard quadratic form:
=> y^2 + 11y + 24 = 0
Using the quadratic formula, we can now determine the quadratic's roots:
=> y = (-11 ± √11^2 - 4(1)(24)))/(2(1))
=> ( -11 ± √(121 - 96))/2
=> (-11 ± √(25))/2
Thus, y = -8 and y = -3 are the solutions.
What the roots produce is:
(-8) * (-3) = 24
Additionally, the product's square root's positive number is:
=> √(24) = 2 * √(6)
In light of this, 2 * √6 is the positive value of the square root of the sum of the roots.
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The cost of one burrito b, and one taco a is less than the cost of two burritos. Which
inequality represents this relationship?
b+a<2b
b+a
b+a> 2b
b + a ≤ 2b
Answer:
The inequality that represents this relationship is:
b + a < 2b
63, 00, 22,------? find out next number
The next number is 47, 1, and 27 in the sequence.
What is a number series?A number series is a sequence of numbers. To answer the questions regarding number series, we must first establish the rules that lead to the production of a number series.
The reverse of 63 is 36.
The sum of the digits of 63 is 6 + 3 = 9.
So, the following number is 36 + 9 = 45, followed by the next odd number, 47. Hence the following number is 47.
The reverse of 00 is 00.
The sum of the digits of 00 is 0 + 0 = 0.
So, the following number is 0 + 0= 0, followed by the next odd number, 0. Hence the following number is 0.
The reverse of 22 is 22.
The sum of the digits of 22 is 2 + 2 = 4.
So, the following number is 22 + 4 = 26, followed by the next odd number, 27. Hence the following number is 27.
Therefore, the next number is 47, 1, and 27 in the sequence.
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If 1+ and 2 are zeros of a polynomial function with real coefficients, then list three factors of the polynomial function. Hint: If 1+ is a zero of the polynomial, what additional zero must the function have?
Therefore , the solution of the given problem of function comes out to be (x - 2)(x - 2) (x - 2)
What is meant by the word function?The study of mathematics includes histology, architecture, and both actual and fictitious geographic locations, as well as arithmetic, numerals, and their divisions. A function explains the relationships between different components, each of which has a corresponding result. A function is made up of a variety of components that, when put together, produce specific outputs for each input. Each post is assigned a realm, which may be a city, a region, or even another region.
Here,
We know that (x - 1-) is a component of the polynomial if 1+ is the polynomial function's zero. Similarly, we know that (x - 2) is also a component of the polynomial because 2 is also a zero of the polynomial function.
Thus, the polynomial function's three components are:
= >(x - 1+)
=> (x - 1-)
=> (x - 2)
or
=> (x - 1+)
=>(x - 2)(x - 2) (x - 2)
or
=> (x - 1+)
=> (x - 1-)
=> (x - 2)(x - 2) (x - 2)
Depending on the needs of the issue, these can be further expanded or simplified.
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james scored 15 points which was 60% of the total points. how many points were there on the quiz
Answer:
Step-by-step explanation:
Let [tex]x[/tex] be the total points on the quiz, then
[tex]\frac{60}{100}[/tex] × [tex]x[/tex] = 15
[tex]60x=1500[/tex] (multiplied both sides by 100)
[tex]x=25[/tex] (divided both sides by 60)
So there were 25 points on the quiz
Please help thank you steps would be really helpful.
The solutions for θ between 0 and 2π are:
θ = π/4, 3π/4, 5π/4, 7π/4.
What is trigonometry?Trigonometry is the branch of mathematics which set up a relationship between the sides and angles of right-angle triangles.
Starting with the equation:
√2sinθ + 1 = 0
Subtracting 1 from both sides, we get:
√2sinθ = -1
Squaring both sides, we get:
2sin²θ = 1
Dividing both sides by 2, we get:
sin²θ = 1/2
Taking the square root of both sides, we get:
sinθ = ± √2/2
Using the unit circle, we know that sinθ = √2/2 at π/4 and 3π/4, and sinθ = -√2/2 at 5π/4 and 7π/4.
Therefore, we have:
sinθ = √2/2 at θ = π/4 + 2πn, 3π/4 + 2πn
sinθ = -√2/2 at θ = 5π/4 + 2πn, 7π/4 + 2πn
Thus, the solutions for θ between 0 and 2π are:
θ = π/4, 3π/4, 5π/4, 7π/4.
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What is 8 - 6 7-12 ?
Answer:
the answe will be -71 I think
sorry if I got it wrong
Sally is going to Seattle for the summer. She has $9,999 and a plane ticket to Seattle from Destin,Fl costs $837. How much money does she have left over to spend?
Answer:
To find how much money Sally has left over to spend, we need to subtract the cost of the plane ticket from her starting amount of money:
$9,999 - $837 = $9,162
Therefore, Sally has $9,162 left over to spend after buying the plane ticket to Seattle.
Answer:
oh yes she has $9162 to spend ,
Brainliest for correct answer
Answer:
C 38.1 ft hope this helps
K-3/10 =1 The K-3/10 is a fraction
Answer:
K = 13
Step-by-step explanation:
We must solve for K
K - 3 / 10 = 1
Multiply both sides by 10
K - 3 = 10
K = 10 + 3
K = 13
Jim was preparing for a marathon. He ran 5 3/8 miles on the first day, 7 1/3 miles the second, and 12 1/2 the third day. How far did he run altogether
Answer: Jim ran 25 1/4 miles altogether.
Step-by-step explanation: I saw him do it.
Need help with number 90
Answer:
a = 16.5
b = 8.8
Step-by-step explanation:
Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
[tex]f(x) = x^{2} -5x + 12[/tex]
The graph of the function is a parabola → true
____
The value of f(–10) = 82 → false[tex]f(-10) = (-10)^{2} -5(-10) + 12 = 100+50+12 = 162 \neq 82\\[/tex]
The graph of the function opens down → false The graph contains the point (20, –8) → false[tex]f(20) = (20)^{2} -5(20) + 12 = 400-100+12 = 312 \neq - 8\\[/tex]
The graph contains the point (0, 0) → false[tex]f(0) = 0^{2} -5(0) + 12 = 0 - 0 + 12 = 12 \neq 0\\[/tex]
Tonya says that her favorite number is 44. Pena says that Tonya's number is 9 more than her favorite number.
Write an equation to represent the relationship between Tonya’s and Pena’s favorite
numbers.
Answer:
Let's assume Pena's favorite number as "p".
According to the problem, Tonya's number is 9 more than Pena's favorite number, so Tonya's favorite number would be p + 9.
But Tonya says her favorite number is 44, so we can write:
p + 9 = 44
This equation represents the relationship between Pena's and Tonya's favorite numbers.
Write an equation for the line shown in the graph (ik the picture is blurry but help me if you know)
By answering the above question, we may state that As a result, the coordinates graph's line has the equation y = (4/5)x + 11/5.
what are coordinates?A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.
In order to determine the line's equation, we must first determine the slope (m) of the line using the following formula:
m = (y2 - y1) / (x2 - x1) (x2 - x1)
where the coordinates of the two sites the line travels through are (x1, y1) and (x2, y2), respectively.
In place of the values we hold:
m = (7 - 3) / (6 - 1) (6 - 1)
m = 4 / 5
Now that we have the slope, we can solve the equation of a line using the point-slope form, which is:
y - y1 = m(x - x1) (x - x1)
where one of the locations the line travels through is (x1, y1).
y - 3 = (4/5)(x - 1) (x - 1)
y = (4/5)x - 4/5 + 3 y = (4/5)x + 11/5 is equal to y - 3 = (4/5)x - 4/5.
As a result, the graph's line has the equation y = (4/5)x + 11/5.
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Ocean City bike rental shop charges a $17 fixed fee plus $6 an hour for renting a bike Jessica paid $65 to rent a bike how many hours did she pay to have to write checked out ?
Answer:
8 hours
Step-by-step explanation:
To solve for the number of hours (h) Jessica paid, we can use this expression:
(65 - 17) ÷ 6 =?Why do we do this?We do this because in order to find the total number of hours spent renting the bike, we need to take the total amount of money spent and subtract the fixed fee from it. Then, we divide by 6 to get the total number of hours spent.
Solving what is in the parenthesis:
(65 - 17) ÷ 6 =?48 ÷ 6 =?8Therefore, Jessica spent 8 hours renting the bike.
What is the vertical asymptote and horizontal asymptote pic attached below
The required horizontal and vertical asymptote is x = 2, -2, and y = 1/4.
How to find Asymptotes?To find the vertical asymptotes of the given rational function, we need to look for values of x that make the denominator zero, since division by zero is undefined.
The denominator of the function is 4(x-2)(x+2), so the vertical asymptotes occur at x = 2 and x = -2. Therefore, the vertical asymptotes are:
x = 2, -2
To find the horizontal asymptote, we can use the fact that as x goes to positive or negative infinity, the function approaches the ratio of the leading coefficients of the numerator and denominator.
In this case, the leading term in the numerator is x² and the leading term in the denominator is 4x². Therefore, as x approaches positive or negative infinity, the function approaches:
y = (x² / 4x²) = 1/4
So, the horizontal asymptote is:
y = 1/4
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Need help on solving this math problem!!
Answer:Hello!-47 s the answer :)
Step-by-step explanation:
PLEASE HELP I NEED IT DUE OR ELSE SHOW WORK AND ANSWER
The volumes of the complex figure are;
The volume of the figure is; 175 ft³The volume of the figure is 60 m³The volume of the figure is; 216 in³What is a s complex figure?A complex figure is a figure that comprises of shapes that can often be evaluated as the sum of the simple parts of the figure.
1. The volume of the object can be found by finding the volumes of the component parts as follows;
The volume of the vertical rectangular prism = 3 ft × 7 ft × 7 ft = 147 ft³
The volume of the adjacent prism is found as follows;
Height of the prism = 7 ft - 5 ft =2 ft
Volume = 2 ft × 2 ft × 7 ft = 28 ft³
Volume of the prism = 147 ft³ + 28 ft³ = 175 ft³
2. The volume of the rectangular prism at the top = 1 m × 2 m × 3 m = 6 m³
Volume of the larger rectangular prism at the base = 6 m × 3 m × 3 m = 54 m³
Volume of the figure = 6 m³ + 54 m³ = 60 m³
3. Volume of the prism on the bottom left = 3 m × 4 m × 7 m = 84 m³
Volume of the higher rectangular prism on the right = 2 m × 4 m × 7 m = 56 m³
The volume of the solid is therefore;
V = 84 m³ + 56 m³ = 140 m³4. The dimensions of the chimney are;
The rectangular prism at the left base 3 inches by 4 inches by 2 inches
The volume of the rectangular prism = 3 in × 4 in × 2 in = 24 in³
Rectangular prism to the right of the chimney = 4 in × 4 in × 12 in = 192 in³
The volume of the complex figure = 24 in³ + 192 in³ = 216 in³
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if 9% of a number equals 10 find 27% of that number
Answer:
30
Step-by-step explanation:
You divide the number so 10 by 9 giving you the 1% of it and then you times that number by 27 to get 27%.
Answer:
30
Step-by-step explanation:
9%*3=27%
10*3=30
or more simply what you do to one you have to do to the other.
y= 4x^(3/2)+x^(1/2)
Find the differential of the function.
dy=
The differential of the function is dy/dy = 6x^(1/2) + 1/2x^(-1 1/2)
How to find the differential of the function.From the question, we have the following parameters that can be used in our computation:
y= 4x^(3/2)+x^(1/2)
Using the first principle of differentiation, we have
dy/dy = 3/2 * 4x^(3/2 - 1) + 1/2 * x^(1/2 - 2)
Evaluate the expressions
dy/dy = 6x^(1/2) + 1/2x^(-1 1/2)
Hence, the solution is dy/dy = 6x^(1/2) + 1/2x^(-1 1/2)
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A few years ago, Sarah acquired a parcel of land valued at $14,300 . Today, that same parcel of land has a value of $15,444 . Find the percent increase in the property's value. Round your answer to the nearest hundredth, if necessary.
The percent increase in the vaIue οf the parceI οf Iand is 8%.
Tο find the percent increase in the vaIue οf the parceI οf Iand, we need tο determine the difference between the current vaIue and the οriginaI vaIue, and then express that difference as a percentage οf the οriginaI vaIue.
What is the fοrmuIa fοr percent increase?percent increase = (new vaIue - οId vaIue) / οId vaIue x 100%
PIugging in the vaIues given in the prοbIem, we get:
percent increase = ($15,444 - $14,300) / $14,300 x 100%
percent increase = $1,144 / $14,300 x 100%
percent increase = 0.08 x 100%
percent increase = 8%
Therefοre, the percent increase in the vaIue οf the parceI οf Iand is 8%.
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