TIS THE SEASON. for the Slope Formula! Directions: Find the slope of the line that passes through each pair of points. Identify matching answers between Column 1 and Column 2, then color the lights accordingly. M = 42 - 41 Column 2 Column 1 X2 - X2 x 4 x2 42 1 (3, 8) and (9, 10) Red: (9, 2) and (4, 2) x 4 2/ (-2, 13) and (1, 1) Orange: (5, 16) and (-4, 3) X1 42 x2 42 5/6 x y X2 40 * (-8, nand (-4, -9 ) yellow: (-4, -7) and (-6, -1 1) 12, 42 x2, 42 X2 40 A. (3, -5) and (3,25 under x y Light Green: (-12, 3) and (2, 7) 5. (-7, 4) and (0, 2) 2/ 7 Dark Green: (-9 , -7 ) and (0 , 5) 4 ( -4 , 12 ) and ( 4 , 6) 3/ 4 Xy XQ y2 Light Blue: (-1, 8) and (-1, -4) Dark Blue: (-3, -5) and (6, 57 (5, -5) and (11 2) X2 92 X4yz x2 42 Purple (-4, -6) and (-10, 9) 9. (0, 8) and (9, 4)/ 4 / 3 X2 ya x2,41 x240 Pink: (-11, 14) and (9, -4) 10. (-4,40) and (8, -2) - 1 Brown: (-7, -7) and (-9, 1) CO CO
The matching answers and corresponding colors for the holiday lights are: (Slope: 3) Dark Blue, (Slope: -4) Violet, (Slope: 1/4) Red.
To find the slope of a line passing through two points \((x_1, y_1)\ and\ (x_2, y_2)\), we can use the formula:
Slope = \((y_2 - y_1) / (x_2 - x_1)\)
Let's calculate the slopes for each pair of points:
1. (8, 3) and (10, 9):
Slope = (9 - 3) / (10 - 8) = 6 / 2 = 3
2. (2, -3) and (1, 1):
Slope = (1 - (-3)) / (1 - 2) = 4 / (-1) = -4
3. (-4, -8) and (-8, -9):
Slope = (-9 - (-8)) / (-8 - (-4)) = (-9 + 8) / (-8 + 4) = -1 / (-4) = 1/4
Now let's compare the slopes to identify the matching answers:
1. Slope: 3 (Dark Blue)
2. Slope: -4 (Violet)
3. Slope: 1/4 (Red)
Thus, the corresponding colors for the holiday lights would be:
1. Dark Blue
2. Violet
3. Red
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need the 6 questions on the worksheet done with work
Answer:
download cymath has answer with step by step work
Answer:
what grade is this ?ujkko
12+c=n, 1.2+1c=0.25n
A shoe store marks up the recommended price of a pair of shoes by 12.5% when they are first released. A month later, the store decides to put these shoes on sale. They want the new sale price to be equivalent to the original recommended price. By what percent should they decrease the marked–up price to make it equivalent to the original recommended price? Round your answer to the nearest tenth.
Answer:
I know the answer come follow me to see
I need help on a problem
a) In the given triangles : ABC & FLE
The ratio of coorespodings sides are :
\(\frac{AB}{FL}=\frac{6}{6},\text{ }\frac{BC}{LE}=\frac{4.5}{4.5},\text{ }\frac{CA}{EF}=\frac{7.5}{7.5}\)as the ratio of the corresponiding sides are equal to 1
If the ratio of corresponding sides of two triangles are equal then the triangles are similar
Thus, Triangle ABC is similar to triangle FLE
\(\Delta ABC\approx\Delta FLE\)b) In the given two triangles : ABC & FLE
The length of corresponding sides of triangle are equal
AB = FL = 6
BC = LE = 4.5
CA = EF = 7.5
All the sides are equal, thus by Side Side Side Congurency, triangle ABC and FLE are congurent
\(\Delta ABC\cong\Delta FLE\)c)
\(\begin{gathered} \text{ Similar symbol is : }\approx \\ \text{Congureny sysmbol is :}\cong \end{gathered}\)In similar triangles, the side ratio should be equal where as in congurent the sides should be equal.
As if all the sides are equal then, the corresponding sides ratio are equal to 1, thus they varify the property of similar triangle,
Hence, Triangle are also similar if all sides are equal
It concluded that : All congurent triangles are similar triangle but all similar triangle are not congurent.
The mathematics choose the symbol ≅, because it show a sign of equal and by ~ it show similar.
A number 1 is no less than -3.
Answer:
no
Step-by-step explanation:
because 1 can equal anything
Answer:
1 equals everything
A plant that floats on the surface of rural bodies of water is known as duckweed. The initial mass of a population of duckweed is 500g The mass of the population triples every Ͷͷ hours and can be represented by the function m(t)= 500x3^t/45 where (t) is time in hours. Determine how many hours it would take for the duckweed to grow to a mass triple the original size.
Therefore , the solution of the given problem of function comes out to be the duckweed to grow a mass triple the original size will be 45 hours.
Explain function.The mathematics curriculum involves examining numbers, the equation the environment we live in, structures, and both actual and hypothetical locations. A function is a variable representation of the relationship between the quantities of intake and the corresponding outputs for each. Simply explained, a function is a collection of inputs that, when combined, provide unique outputs for each input.
Here,
Given :
mass of a population of duckweed is 500g
=> function m(t)= 500x³^t/45
So,
=> t = 45 hours
Since it is given that the mass of the population of the duckweed triples every 45 hours
it is clear that the time taken for the duckweed to grow a mass triple the original size will be 45 hours .
Therefore , the solution of the given problem of function comes out to be the duckweed to grow a mass triple the original size will be 45 hours.
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A square mural has an area of about 240 feet. What is the approximate length of one side of the mural?
(1)between 18 and 19 feet
(2)between 17 and 18 feet
(3)between 16 and 17 feet
(4)between 15 and 16 feet
(5)between 14 and 13 feet
240 square feet is the area of a square mural. The approximate length of one side of the mural is between 15 and 16 feet.
The area of a square is described as the number of square units needed to fill a square. In general, the area is described as the territory occupied inside the boundary of a flat object or 2d figure. The calculation of area is done in square units, with the standard unit being square metres (m²).
The area of the square = (side)²
240 = (side)²
side = √240
side = 4√15
side = 15.49 feet
Hence, The approximate length of one side of the mural is between 15 and 16 feet.
Therefore, the correct option is (4).
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4a + (–6b) – 3a + 2b Which expression is equivalent to this expression?
Answer:
1a+(-4b)
Step-by-step explanation:
4a + (–6b) – 3a + 2b
(4a+-3a)+(-6b+2b)
1a+(-6b+2b)
1a+(-4b)
By computing the first few derivatives and looking for a pattern, find 939 dx d939 d 939 (cos x)=
The value of 939 dx d939 d 939 (cos x) is cos x by computing first few derivatives and looking for a pattern.
To find 939 dx d939 d 939 (cos x), we need to compute the first few derivatives of cos x and look for a pattern.
The derivative is a key idea in calculus that gauges how quickly a function alters in relation to its input variable. In terms of geometry, the slope of the tangent line to the function graph at a particular location is represented by the derivative. The derivative has numerous crucial uses in mathematics, physics, engineering, and other disciplines, including optimisation, identifying extrema and inflection points, and simulating the rates of change of events that occur in the actual world. The derivative of various functions can be found using a variety of methods, including the power rule, product rule, chain rule, and quotient rule.
The first derivative of cos x is -sin x, the second derivative is -cos x, the third derivative is sin x, and the fourth derivative is cos x. We can notice that the pattern of the derivatives of cos x is that they cycle through the functions cos x, -sin x, -cos x, and sin x.
Since 939 is a multiple of 4 (939/4 = 234.75), we know that the 939th derivative of cos x will be the same as the fourth derivative of cos x, which is cos x.
Therefore, 939 dx d939 d 939 (cos x) = cos x.
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convert the rectangular equation to a polar equation that expresses r in terms of theta. y=1
The polar equation that expresses r in terms of theta for the rectangular equation y=1 is: r = 1/sin(theta)
To convert the rectangular equation y=1 to a polar equation, we need to use the relationship between polar and rectangular coordinates, which is:
x = r cos(theta)
y = r sin(theta)
Since y=1, we can substitute this into the equation above to get:
r sin(theta) = 1
To express r in terms of theta, we can isolate r by dividing both sides by sin(theta):
r = 1/sin(theta)
Therefore, the polar equation that expresses r in terms of theta for the rectangular equation y=1 is:
r = 1/sin(theta)
This polar equation represents a circle centered at the origin with radius 1/sin(theta) at each angle theta.
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The cost of 3 scarves is $72.75. What is the unit price?
Answer:
$24,25
Step-by-step explanation:
72.75 ÷ 3 = 24,25
17500 people attend a concert. Tickets for the concert cost£22.50. Calculate the amount of money the concert earns.Give your answer to an appropriate accuracy.
The amount earned for the concert will be £393750
Number of people who attended the concert = 17500
Cost of ticket = £22.50 each
In order to get the total amount that the concert earns, we have to multiply the cost of each ticket by the total number of people who went to the concert. This will be:
= £22.50 × 17500
= £393750
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What is the slope of the linear regression prediction equation if a person with 12 years of schooling
On solving the provided question, we can say that the e slope of the linear regression prediction equation if a person with 12 years of schooling is 1.
what is linear regression?When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable. The procedure is known as multiple linear regression if there are numerous. A straight line is used to evaluate the relationship between the independent and dependent variables in a regression model known as simple linear regression. Both factors ought to be quantitative. The effect of the independent variable on the dependent variable is examined using simple linear regression. The second scenario, known as multiple linear regression, examines how various independent factors affect the dependent variable.
the e slope of the linear regression prediction equation if a person with 12 years of schooling
a. 1(correct)
b. 12
c. 13
d. 1,500
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2. Explain how to find the surface area of any prism.
Amelia and Joey decided to shoot arrows at a simple target with a large outer ring and a smaller bull's-eye. Amelia went first and landed 3 arrows in the outer ring and 3 arrows in the bull's-eye, for a total of 267 points. Joey went second and got 4 arrows in the outer ring and 3 arrows in the bull's-eye, earning a total of 281 points. How many points is each region of the target worth? The outer ring is worth ____ points, and the bull's-eye is worth ____ points.
Answer:
outer ring worth 14 pts
bull's-eye worth 74.333333 pts
Step-by-step explanation:
let the worth point of landing an arrow on the outer ring be "x" and on bull's eye be "y"
For amelia
\(3x + 3y = 267\)
For joey
\(4x + 3y = 281\)
subtracting the first equation from the second
\(x = 14\)
\(3x + 3y = 267\)
\(42 + 3y = 267\)
\(3y = 223\)
\(y = 74.333\)
8 pencils for $ 3.12 5 pencils for 2.15
Which one is the better buy
Answer:
Step-by-step explanation:
Buy 3.12
Last one lol. Could I have an explanation so I can understand and ty!
Answer:
(x,y)→(x+7,y)
Step-by-step explanation:
Cuz the point isn't moving up or down so the y is the same and x+7 cuz the point moved 7 units to the right so its position changed in the x-axis.
Im reallyyyy bad at explanations but hope this helped:)
Please I need help on this problem this assignment due tomorrow!!!!!!! be brainliest if help me
Answer:
don't click that guy's link it's a virus
I'm pretty sure the answer if 50% chance
Step-by-step explanation:
I just combined the probabilities because it's for both lights
hope it helps <3
The percentage of published studies that supported the tested hypothesis has changed from _____ to _____ over the past 25 years.
The percentage of published studies that supported the tested hypothesis has changed from 70 to 85% over the past 25 years.
Hypothesis testing:
A hypothesis testing means investigates a proposed mathematical model to determine whether there is sufficient evidence from a sample of data to reject the defined null hypothesis.
Given,
The percentage of published studies that supported the tested hypothesis has changed from _____ to _____ over the past 25 years.
Here we need to find the change in the percentage for the past 25 years.
Based on the details, the percentage of published studies that supported the tested hypothesis has changed from 70 to 85% over the past 25 years.
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Please help and I please don't answer just for the points I'll report you
Answer:
x=1
y=1
Step-by-step explanation:
y=x^2-x+1 1. Write out the equation
y=y^2-y+1 2. Substitute the "x"s for "y"s
0=y^2-2y+1 3. Subtract "y" from both sides of the equation
0=(y-1)(y-1) 4. Factor into a binomial
y-1=0
y=1
x=1
20 balloons have to be devided between a group A and Group B in the ratio 2:3. How many balloons will each group receive?
Answer:
There are 8 and 12 balloons for groups A and B, respectively.
Step-by-step explanation:
The ratio 2 : 3 means that there are 2 balloons in group A for each 3 balloons in the group B. The amounts of balloons asigned to each groups are determined by the following formulas:
Group A
\(n_{A} = \frac{2}{2+3}\cdot (20)\)
\(n_{A} = 8\)
Group B
\(n_{B} = \frac{3}{2+3}\cdot (20)\)
\(n_{B} = 12\)
There are 8 and 12 balloons for groups A and B, respectively.
Two numbers have a difference of -72 and a product of -720? What is their sum?
The answer to the question "difference of -72 and a product of -720?" is -9.
What is the sum of two numbers with a difference of -72 and a product of -720?To find the sum of the two numbers, we can set up the following equations based on the given information:
Let the two numbers be x and y, where x > y.
x - y = -72 (since the difference between the numbers is -72)
xy = -720 (since the product of the numbers is -720)
We can solve these equations simultaneously using algebraic methods. One way to do this is to isolate one of the variables in one of the equations and substitute it into the other equation. For example, we can isolate y in the first equation by rearranging it to y = x + 72, and then substitute this into the second equation:
x(x + 72) = -720
Expanding the left-hand side, we get:
x^2 + 72x = -720
Rearranging the equation, we get:
x^2 + 72x + 720 = 0
Now we can solve for x using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
where a = 1, b = 72, and c = 720. Plugging in these values, we get:
x = (-72 ± √(72^2 - 4(1)(720))) / (2(1))
Simplifying further, we get:
x = (-72 ± √(5184 - 2880)) / 2
x = (-72 ± √2304) / 2
x = (-72 ± 48) / 2
Now we have two possible values for x:
x1 = (-72 + 48) / 2 = -12
x2 = (-72 - 48) / 2 = -60
Since x > y, we take x = -12 and y = -72 - (-12) = -60 + 12 = -48.
Thus, the sum of the two numbers is -9, which is obtained by adding x and y:
-12 + (-48) = -9.
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14. An engineer is designing a circular base for a
plastic cup holder that will go in a new
car. The base of the cup holder has a
radius of 5 centimeters,
Which measurement is closest to the
circumference of the base in
centimeters?
Answer:
c=2(3.14)r
r= 5inches
c=2•3.14•5
c=31.4 inches
jane and john decide to race their helminths. john's tapeworm went 60m without stopping. jane's roundworm went 0.000054m without stopping. how much farther did the winning helminth travel in mm?
The winning helminth traveled 60m - 0.000054m = 59.999946m farther than the losing helminth.
To convert this distance from meters to millimeters, we can use the following conversion factor:
1m = 1000mm
So, 59.999946m x 1000mm/1m = 59999.946mm
Therefore, the winning helminth traveled 59999.946mm farther than the losing helminth.
Answer: 59999.946mm
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I need this answered please
Solve each inequality. Show work.
|0.7x + 5| > 6.7
The inequality can be simplified into a compound inequality:
x > 2.43
x < -16.7
How to solve the inequality?Here we want to solve the following inequality:
|0.7*x + 5| > 6.7
To solve it, we need to isolate the variable x. The first thing we need to do is "break" the absolute value part, then we will get a compound inequality.
0.7*x + 5 > 6.7
0.7*x + 5 < -6.7
Now we can isolate x in both of these inequalities:
0.7*x > 6.7 - 5
0.7*x < -6.7 - 5
0.7*x > 1.7
0.7*x < -11.7
x > 1.7/0.7
x < -11.7/0.7
x > 2.43
x < -16.7
That is the solution of the inequality.
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A boat can travel 285 kilometers on 95
liters of gasoline. How far can it travel
on 12 liters?
What is the equation of the line in slope-intercept form?
The equation that describes the function is determined as y = x + 3.
What is the slope of the line?The slope of a line is defined as rise over run, or the change in the y values to change in x values.
The slope of the line is calculated as follows;
slope, m = Δy / Δx = ( y₂ - y₁ ) / ( x₂ - x₁)
From the points on the graph, we have;
(x₁, y₁ ) = (-1, 2)
(x₂, y₂) = (1, 4)
m = ( 4 - 2) / ( 1 + 1 )
m = 2/2
m = 1
The y intercept of the line is 3
The general equation of a line is given as;
y = mx + c
where;
m is the slopec is the y intercepty = x + 3
Thus, the equation that describes the function is determined as y = x + 3.
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mr. bob is very good friends with Mr. jeff and likes to rearrange Mr. jeff's classroom desks around. The coefficient of kinetic friction between the plastic legs of the desks and the tile is 0.3. The desks have a mass of 17 kg each. Mr. bob applies of a force of 60 N to the desk. What is the NET FORCE on the desk? (Net Force = Fa - Ff in this case)
The net force in the forward direction will be 9 Newton.
What is a expression? What is a mathematical equation? What is friction? What is coefficient of kinetic and static friction?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other.The opposing force between two objects in contact that are moving against each other is called kinetic friction. The force that has to be overcome in order to get something to move is called static friction.F(Kinetic) = μ[k]N and F(static) = μ[S]NWe have the coefficient of kinetic friction between the plastic legs of the desks and the tile is 0.3. The desks have a mass of 17 kg each. Mr. bob applies of a force of 60 N to the desk
We can write the equation for the net forward motion as -
F{net} = F{applied} - F{friction}
F{net} = F{applied} - μ[k]N
F{net} = F{applied} - μ[k]mg
F{net} = 60 - 0.3 x 17 x 10
F{net} = 60 - 51
F{net} = 9 Newton
Therefore, the net force in the forward direction will be 9 Newton.
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