By the application of the exponential function to the problems we have;
1) $16187
2) $1346
3) 6774
4) $5670
5) $ 7233
6) 4%
What would be the value of the car?We have to know that the value of the car can be obtained by the use of the function;
P = Poe^-rt
P = Value at time t
Po = initial value
r = rate of depreciation
t = time taken
P = 44,000e^-0.25*4
P = $16187
2) P= Poe^-rt
P = 1580e^-0.02 * 8
P = $1346
3) P = Poe^rt
P = 6348e^0.013 * 5
P = 6774
4) A = P(1 + r/n)^nt
A = 5,000( 1 + 0.036/12)^12 * 3.5
A = $5670
5) A = P(1 + r/n)^nt
A = 6,013.53( 1 + 0.0185/4)^4 *10
A = $ 7233
6) A = P(1 + r/n)^nt
6,520.02 = 4,848(1 + r/2)^6 * 2
6,520.02/ 4,848 = (1 + r/2)^6 * 2
1.34 = (1 + r/2)^12
ln 1.34 = 12ln (1 + r/2)
ln (1 + r/2) = ln 1.34/12
ln (1 + r/2) = 0.024
1 + r/2 = e^0.024
1 + r/2 = 1.02
r/2 = 1.02 - 1
r/2 = 0.02
r = 2 * 0.02
r = 0.04
r = 4%
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what does d' measure
The difference between amount of two proportions is measured by D'.
D' is a metric for comparing differences between two proportions. It serves as a gauge for comparing how far apart the two proportions are from one another. It is determined by multiplying the difference between the two proportions by the sum of the standard deviations of the two proportions. The outcome is a measurement of how many standard deviations there are between the two proportions.
In statistical tests like the Chi-Square test or the Z-test, D' is most frequently employed to calculate the difference between two proportions. It is a helpful way to compare two proportions because it indicates whether or not the difference is statistically significant. Given that it takes into consideration the variability of each sample, it is especially helpful when comparing two proportions when the sample sizes are different. In data-mining applications, where it can be used to find correlations between two proportions, D' is also a helpful measure of the separation between two proportions.
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suppose that we were going to conduct a study to determine if there is an increased risk of getting lung cancer based on whether a person exercises regularly or not. in the group that exercises regularly (1), we find than 2 out of 100 get lung cancer. in the group(2) that does not exercise regularly, we find that 5 out of 100 get lung cancer. what is the sample relative risk? group of answer choices
To calculate the sample relative risk, we compare the proportion of individuals in each group who get lung cancer.where the sample relative risk is 0.4.
What is the sample relative risk? Step 1: Calculate the proportion of individuals in each group who get lung cancer.Group 1 (exercise regularly): 2 out of 100 = 2/100 = 0.02Group 2 (does not exercise regularly): 5 out of 100 = 5/100 = 0.05Step 2: Divide the proportion in group 1 by the proportion in group 2.0.02 ÷ 0.05 = 0.4Step 3: Round the answer to the nearest hundredth.0.4So, the sample relative risk is 0.4.This means that the group of individuals who exercise regularly have a 0.4 times lower risk of getting lung cancer compared to the group who does not exercise regularly.To learn more about relative risk refer:
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prove the following equalities using mathematical induction: a. ∑ ― 1 = 1 ( 1 i(i 1)) = 1 ― 1/, ≥ 2. b. ∑ = 1
the equality holds for n = k+1, and by mathematical induction, it holds for all n ≥ 2.
Proof by induction:
a. Base case: For n = 2, the left-hand side evalutes to 1/2 and the right-hand side evaluates to 1/2, so the equality holds.
Inductive step: Assume that the equality holds for n = k. We must show that it holds for n = k+1.
The left-hand side evaluates to
∑ ― 1 = 1 ( 1 i(i 1)) = 1 ― 1/k+1
The right-hand side evaluates to
1 ― 1/k+1
Therefore, the equality holds for n = k+1, and by mathematical induction, it holds for all n ≥ 2.
b. Base case: For n = 2, the left-hand side evaluates to 1/2 and the right-hand side evaluates to 1/2, so the equality holds.
Inductive step: Assume that the equality holds for n = k. We must show that it holds for n = k+1.
The left-hand side evaluates to
∑ = 1 ( 1 i(i 1)) = 1 i!k+1
The right-hand side evaluates to
1 i!k+1
Therefore, the equality holds for n = k+1, and by mathematical induction, it holds for all n ≥ 2.
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33.
60°
C
30°
A supplementary
neither
Are these angles complementary, supplementary or neither?
B
complementary
The angles shown in the figure are complementary angles.
What are angles?The construction of an angle is a type of geometric shape made by connecting two rays at their termini. Three letters that make up the shape of the angle can alternatively be used to symbolize the angle, with the middle letter indicating the location of the angle.
Given the angles,
60° and 30°
the sum of both angles is,
60° + 30° = 90°
The sum of two angles is 90° then the angles are known as complementary angles.
Hence the angles are complementary angles.
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Use the following function rule to find f(8). f(x) = ( 1 + 2 x ) 2
The solution to the function is 289
How to determine the solution to the functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = (1 + 2x)^2
Substitute the known values in the above equation, so, we have the following representation
f(8) = (1 + 2 * 8)^2
Evaluate the product
f(8) = (1 + 16)^2
So, we have
f(8) = 17^2
This gives
f(8) = 289
Hence, the value of the function is 289
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Find sn for the arithmetic series where a1=5 , n=10, an=−13
The sum of the first 10 terms of the arithmetic sequence is given as follows:
-40.
What is an arithmetic sequence?An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.
The nth term of an arithmetic sequence is given by the equation presented as follows:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term of the sequence.
The sum of the first n terms of the sequence is given by the equation presented as follows:
[tex]S_n = \frac{n(a_1 + a_n)}{2}[/tex]
In which [tex]a_n[/tex] is the nth term of the sequence.
The parameters for this probelm are given as follows:
[tex]a_1 = 5, a_n = -13, n = 10[/tex]
Hence the sum is given as follows:
S = 10 x (5 - 13)/2
S = 5 x (5 - 13)
S = 5 x (-8)
S = -40.
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< &
complementary.
If Y measures 32°.
what is the
measure of <?
Therefore , the solution of the given problem of complementary angles comes out to be 29° and 61° QED.
How do complimentary angles work?Two angles are considered complementary when their sum equals 90 degrees. Two angles are considered submissive when their sum equals 180 degrees. For example, the angles of 40 - 60 degrees complement one another. The difference between a supplementary angle and a supplementing angle is that a Triangle angle has two angles joined to produce a 90 degree angle. When two angles add up to 90 degrees, they are said to be complementary. Alternatively, the complementary angles result in a right angle (90 degrees).
Here,
Given :
Allow x to equal the complementary angle.
Given: x plus 32° the opposite angle
Recognized: Complementary angles sum to 90°
=>x + x + 32° = 90° (Adding the two angles) (Adding the two angles)
2x + 32° = 90° (adding the unknown factors) (adding the unknown variables)
=>2x = 90° - 32° (subtract 32 from both sides) (subtract 32 from both sides)
=> 2x = 58° (assess the right side) (evaluate the right side)
=>x = 29° (split both sides by 2) (divide both sides by 2) (One reply)
=> x + 32° = 61° (Add 32 to x) (Add 32 to x) (The other response)
There are two angles: 29° and 61° QED.
Therefore , the solution of the given problem of complementary angles comes out to be 29° and 61° QED.
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The complete question is "The measure of one angle is 32° greater than the measure of its complement. What are the measures of the angles?"
Diff of squares help me out
Answer:
9
Step-by-step explanation:
9 is the correct answer
The value of a diamond ring increases at a constant rate. After 2 years, the value of the ring is $1500. After 3 more years, the value of the ring is $2025.
a. Write an equation that represents the value y (in dollars) of the ring after x years.
b. Interpret the y-intercept of the graph of the equation.
c. What is the constant rate of increase in the value of the ring?
d. Would you expect this constant rate to continue forever? Explain.
Answer:
The equation that represents the value y (in dollars) of the ring after x years is y = 500x + 1000. b. The y-intercept of the graph of the equation is 1000, which is the initial value of the ring. c. The constant rate of increase in the value of the ring is 500 dollars per year. d. The constant rate of increase in the value of the ring is not expected to continue forever. As the value of the ring increases, the rate of increase will likely slow down as it approaches its maximum value.
Step-by-step explanation:
Find the area for 5cm 6cm 7cm
PLS HELp! WILL GUVE BRAINLIEST!!
When A'B'C' is reflecting in origin, A" (4, 1), B" (0, -7), and C" are the coordinates of the vertices' pictures (-2, -5).
What is triangle?Triangles are polygons because they have three vertices and three edges. This is one of the basic shapes in geometry. A triangle with the vertices A, B, and C is referred to as a "triangle ABC."In Euclidean geometry, three non-collinear points result in separate triangles and planes for each point. A triangle is a three-sided polygon since it has three vertices.The end-to-end connections of the three sides at a point define the triangle's angles. The three angles of the triangle add up to 180 degrees.In geometry, triangles are a special kind of polygon because they have three sides and three vertices. It is a two-dimensional figure and has three straight sides. It has a triangle as one of its three sides.The vertices of ABC are A (4, -1), B (0, 7), and C (-2, 5), respectively.
The coordinates of the points for ABC will be A' (-4, -1), B' (0, 7), and C' after reflecting in the y-axis (2, 5).
Once more, when "A'B'C" is reflecting in origin, "A" will be at (4, 1), "B" will be at (0, -7), and "C" will be at (4, 1). (-2, -5).
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Please help meeeeeeeeeee !!!!!!! Long divioson step by step
Step By Step:
First, you look at the 6. 22 can't go into 6, so we combine the first digit with the second and put an x above the 6 (if you're on paper. If not, just imagine a blank space there.) Now we have 69. 22 can go into 69. As you did it, 22 can only go in three times. So we add the 3 to the top and put 66 on the bottom, as 22*6 = 66. Now, we subtract 69 and 66. This gives us 3. Now, we bring down the 1. So instead of 3 as you have it, it'd be 31. 22 can go into 31 one time. So, we put our 1 up top and put our 22 on the bottom, as 22*1 = 22. Then, we finish by subtracting 31 from 22, which equals 9.
Hopefully, this made sense. If not, I would be happy to provide further in depth explanation or examples.
write regular expressions for the following entities. you may find it necessary to justify what is and is not allowed within each expression: 1. english days of the week: monday tuesday ...
Regular expressions are patterns that can be used to match character combinations in strings.
What is Regular expressions?A regular expression is a string of letters that designates a text search pattern. Such patterns are typically utilised by string-searching algorithms for input validation or "find" or "find and replace" operations on strings.Simple characters, like /abc/, or a mixture of simple and special characters, like /ab*c/ or /Chapter (d+).d*/, make up a regular expression pattern. Parentheses, which serve as a storage mechanism, are employed in the final illustration.Regular expressions are a form of data called Regexp. Regexp automatically matches any value of a regular expression. See the Pattern type if you're seeking for a type that matches strings that match any regular expression. To limit the values that Regexp will match, utilise parameters.Given data :
Given some Weekdays, the task is to check if they are valid or not using regular expressions.
Rules for the valid Weekdays :
It should contain specific only words as a string. They are mentioned below:
Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday.
Mon, Tues, Wed, Thurs, Fri, Sat, Sun.
Mon., Tues., Wed., Thurs., Fri., Sat., Sun.
mon, tues, wed, thurs, fri, sat, sun.
Examples:
Input: “Monday”
Output: True
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solve the following equations and identify any extraneous roots where applicable: [6 marks total] a) 4^{x+1} = 5^{3x} [3 marks] b) log2x + log2 (x+2) = 3
a) The solution of equation [tex]4^{x+1} = 5^{3x}[/tex] is x = log4/(3log5 - log4).
b) The extraneous roots of equation [tex]\log_{2}x + \log_{2} (x+2) = 3[/tex] is -4 and 2.
a) The first equation is [tex]4^{x+1} = 5^{3x}[/tex].
Now solving the equation.
To solve the equation we take log on both side.
[tex]\log(4^{x+1}) = \log(5^{3x})[/tex]
Using the formula [tex]\log m^n = n\log m[/tex].
Now the equation is
(x+1) log4 = 3x log5
x log4 + log4 = 3x log5
Subtract x log4 on both side, we get
3x log5 - x log4 = log4
Taking common x
x(3log5 - log4) = log4
Divide by (3log5 - log4) on both side, we get
x = log4/(3log5 - log4)
b) The second equation is [tex]\log_{2}x + \log_{2} (x+2) = 3[/tex]
Now solving the equation.
We can write the equation as
[tex]\log_{2}(x(x+2)) = 3[/tex]
Now eliminating the log
x(x+2) = (2)^3
x(x+2) = 8
Now simplify the bracket
x^2 + 2x = 8
Subtract 8 on both side, we get
x^2 + 2x - 8 = 0
Now factor the equation
x^2 + (4-2)x - 8 = 0
x^2 + 4x - 2x - 8 = 0
x(x + 4) -2(x + 4) = 0
Now the factor of the equation is
(x + 4)(x - 2) = 0
Now equating the factor equal to zero.
x + 4 = 0 x - 2 = 0
x = -4 x = 2
Now the solution of equation is -4 and 2.
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HELP pls will mark you the brainliest
Answer: (-5,1)
Step-by-step explanation:
Help me pls i need help
Answer: 32a^5b^3√b
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors assuming positive real numbers
A vanilla cake ha a diameter of 8 inche. A chocolate cake ha a diameter of 10 inche. What i the area the top urface of the two cake?
Ue 3. 14 for p. Repone
vanilla cake=100. 48in2
and chocolate cake=314in2
vanilla cake=100. 48in quared and chocolate cake=314in quared
vanilla cake= 25. 12in2
and chocolate cake=62. 8in2
vanilla cake= 25. 12in quared and chocolate cake=62. 8in quared
vanilla cake= 50. 24in2
and chocolate cake=31. 5in2
vanilla cake= 50. 24in quared and chocolate cake=31. 5in quared
vanilla cake= 50. 24in2
and chocolate cake=78. 5in2
The area of the top surface of the d) Vanilla cake is 50.24 square inches and the Chocolate cake is 78.5 square inches.
The formula for the area of a circle is π times the radius squared. To find the top surface area of the cakes, we first need to find the radius of each cake by dividing the diameter by 2.
The radius of the vanilla cake is 4 inches and the radius of the chocolate cake is 5 inches. Then, we can use the formula: π times the radius squared to find the area of each cake. Using π = 3.14, we get:
Vanilla cake: π * 4^2 = 50.24 square inches
Chocolate cake: π * 5^2 = 78.5 square inches
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Complete question:
A vanilla cake has a diameter of 8 inches. A chocolate cake has a diameter of 10 inches. What is the area of the top surface of the two cake?
Ue 3. 14 for p. Repone
vanilla cake=100. 48in2
and chocolate cake=314in2
vanilla cake=100. 48in quared and chocolate cake=314in quared
vanilla cake= 25. 12in2
and chocolate cake=62. 8in2
vanilla cake= 25. 12in quared and chocolate cake=62. 8in quared
vanilla cake= 50. 24in2
and chocolate cake=31. 5in2
vanilla cake= 50. 24in quared and chocolate cake=31. 5in quared
vanilla cake= 50. 24in2
and chocolate cake=78. 5in2
Tiffany enters a raffle in which 400 people each pay $1 to enter. There will be eight random drawings with one $100 winner, two $25 winners, and five $10 winners. In the form of gains or losses, what is the expected profit?
Answer:
$200
Step-by-step explanation:
If tickets cost $1/ticket then it'll be $400 for all the tickets combined. If you add all the winners up then you will get $200 that is given back to them.
For example:
1 $100 winner =$100
2 $25 winner =$50
5 $10 winners =$50
All together it will add up to $200
So then we do the prize money minus our starting cost which is $400-$200. Which equals $200. You will give back $200 as prize money, and then $200 is a profit you will keep.
the ratio of fabric bandages to plastic bandages in each kit is 3 to 9. a small kit has 16 fabric bandages. how many plaastic bandages should a small kit have?
Answer: 48 plastic bandages
Step-by-step explanation:
1. Divide the ratio of 3 fabric bandages to the amount of fabric bandages in the kit
16/3 = 5.33333333 (repeating) or 5 1/3
2. Multiply that amount (5.33333) by 9
5 1/3 x 9 = 48
3. Check your work!
I hope this helped. Leave a comment if there is something wrong! Give me a Thanks if this helped. Thank u!
breifly explain, in your words, how the fundamental theorem of calculus made the precise connection between the indefinite and definite integrals. in other words, what was that connection?
Fundamental Theorem of Calculus made a precise connection between the indefinite and definite integrals by stating that the derivative of the definite integral of a function is equal to the original function.
The Fundamental Theorem of Calculus is a key result in mathematics that connects two branches of calculus - the definite integral and the indefinite integral.
The definite integral is used to calculate the total area under a curve. It is defined as the limit of the sum of rectangles with increasing precision, as the width of each rectangle approaches zero.
The definite integral can be calculated using definite limits, for example, from x = 0 to x = 1, and the result is a definite number.
The indefinite integral, on the other hand, is a function that, when differentiated, will give us the original function.
The Fundamental Theorem of Calculus if we have a definite integral of a function f(x) from a to b, then the derivative of this definite integral will be equal to
=> f(x) at x = b - f(x) at x = a.
This provides us with a precise way of calculating areas under curves, and it has many practical applications in fields such as physics, engineering, and economics.
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10. Express the following function, F(x), as a composition of two functions, f and g: f(g(x)).
F(x)= sqrt(3x-4)
Part I. Find g(x) by identifying the function you are taking the square root of
Part II. Find f(x) by identifying what you are doing to the function you found in Part I. What function is f(x)?
Part III. Verify that
f(g(x))=F(x)
f(g(x))= sqrt(3x-4)
Part I.
g(x) = 3x-4
Part II.
f(x) = √(x)
Part III.
f(g(x)) = f(3x-4) = √(3x-4)
How did we get the values?In Part I, the function F(x) is the square root of 3x-4. Therefore, g(x) is the expression inside the square root: g(x) = 3x-4.
In Part II, the function f(x) is the square root operation applied to its argument, so f(x) = √(x).
Finally, in Part III, we substitute g(x) into f(x) to obtain f(g(x)) = f(3x-4) = √3x-4), which is equal to F(x)
So,
f(g(x))= √(3x-4) = F(x)
Therefore, F(x) = f(g(x)) where f(x) = √(x) and g(x) = 3x-4
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in florida, approximately what percentage of visitors and residents participate in outdoor recreation? group of answer choices 18% 36% 50% 64% 70%
C) Approximately 50% of visitors and residents in Florida participate in outdoor recreation.
This is an incredibly high rate, given the size and population of the state, and is indicative of the importance of outdoor recreation to the people of Florida. The Florida Department of Economic Opportunity is the main governing body responsible for ensuring visitors are responsible and respectful when participating in outdoor recreation .
This helps to protect the state's natural resources and maintain its beautiful landscapes. Additionally, surveys conducted by the Florida Fish and Wildlife Conservation Commission have found that 64% of Florida residents enjoy participating in outdoor recreation on public lands.
This number is likely higher as many people do not respond to surveys or are unaware of the recreational opportunities available to them. This highlights the importance of outdoor recreation education and outreach programs, which help to inform the public of the resources and activities available to them
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The area of the circular base of a cone is 16π cm², and the slant height of the cone is 4 times the radius of the cone.
What is the approximate lateral area of the cone?
Use π≈3.14.
Enter your answer rounded to the nearest whole number in the box.
The lateral area of the cone is approximately 401 cm²
SolutionLet's call the radius of the circular base of the cone "r". We know that the area of the circular base is 16π cm², so:
r² * π = 16π
r² = 16
r = 4
Now that we know the radius, we can find the slant height. The slant height is 4 times the radius, so:
4 * r = 4 * 4 = 16
The lateral area of a cone is equal to π times the slant height times the radius of the base, so:
lateral area = π * r * slant height = π * 4 * 16 = 128π
Using π ≈ 3.14
we can estimate the lateral area of the cone:
lateral area ≈ 128 * 3.14 = 401.12
Rounding to the nearest whole number, the lateral area of the cone is approximately 401 cm².
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Answer: 201 cm is the answer
Step-by-step explanation: i took the quiz
the base of a triangle is 6 meters longer than the height of the triangle. if the area of the triangle is 80 square meters, what are the base and height of the triangle?
The length of the base of the triangle is 16 m and the height of the triangle is 10 m
What is Triangle ?A polygon having three edges and three vertices is called a triangle. It is one of the fundamental geometric forms. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.Use the equation area = 1/2 * base * height to determine a triangle's surface area.
The basic Properties of a triangle :
Three sides and three angles make up a triangle.A triangle's total angles are always 180 degrees.A triangle's outside angles are always a sum of 360 degrees.The total of the parallel interior and exterior angles is additional.Any two sides of a triangle can be added together to have a length larger than the third side. Similar to this, any two triangle sides have length differences between them that are smaller than the length of the third side.Always, the shortest side faces the smallest internal angle. Similar to this, the biggest internal angle is always opposite the longest side.The length of the base = b m
The height of the triangle = b - 6 m
The area of the triangle = 80 m²
Therefore,
(1/2)*b*(b-6) = 80
⇒ b² - 6b = 160
⇒ b² - 6b - 160 = 0
⇒b² - 16b + 10b - 160 = 0
⇒b(b-16) + 10(b- 16) = 0
⇒(b-16)(b =10) =0
The value of b = 16 and b = -10
The value of b is 16 as -10 is negetive and cannot be the length of the triangle.
The height of the triangle = b-6 = 10 m
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Challenge 1 - Exp
Enter the equation for the dotted
exponential graph!
Hint: You just need to find the right
base, no shift L/R/U/D necessary!
The exponential function for the graph is obtained as y = 3^x.
What is an exponential function?
The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.
Assume that the plot of a function is in the form -
y =ab^x
where the horizontal asymptote is the x-axis.
To find a, look for the coordinate where the curve crosses the y-axis.
In the plot, it is seen that this happens at (0,1).
So, the value of a = 1.
To find b, look for the coordinate where the curve crosses the vertical line at x = 1.
In the plot, it is seen that this happens at (1,3).
Then, b is the number divided by a -
b = 3/1 = 3.
This plot is the curve -
y = 3^x
Therefore, the exponential function is y = 3^x.
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pls this is urgent this is part b to part one
All the pair of angles are congruent except ∠5 and ∠3 are not congruent.
What are parallel lines?Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.
Given:
Two parallel lines cut by a transversal line.
Then,
∠1 and ∠5 = Corresponding angles.
∠2 and ∠8 = Same-side exterior angles.
∠4 and ∠5 = Alternate interior angles.
From the given choices:
∠5 and ∠3 are not congruent.
Therefore, all the required values are given above.
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Which linear graph represents a proportional relationship?
In Graph the line which passes through the origin represents a proportional relationship.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Linear graph is represented in the form of a straight line.
To show a relationship between two or more quantities we use a graphical form of representation. If the graph of any relation gives a single straight line then it is known as a linear graph.
the graph of a proportional relationship is a straight line through the origin.
In Graph the line which passes through the origin represents a proportional relationship.
Hence, In Graph the line which passes through the origin represents a proportional relationship.
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A spinner with four equal sectors labeled "purple," "blue," "orange," and "green" is spun 45 times. What is the
probability that the spinner will land on "purple" in fewer than 20% of the spins?
Find the z-table here.
O 0. 212
O 0. 221
0 0. 460
0. 779
One of the four outcomes chosen at random will happen one out of four times, or 25% of the time. Such a result has a 3 to 1 chance of occurring.
While I am unable to see the image, I presume that it is a straightforward, fair spinner with a value indicator when it stops and can only have the outcomes that are listed.
Given that there are four possible outcomes (pink, purple, blue, and green) and only one desired outcome (green), the probability is one-fourth.
One of the four outcomes chosen at random will happen one out of four times, or 25% of the time. Such a result has a 3 to 1 chance of occurring.
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The question seems wrong, the full question:
You spin the spinner shown below once. The spinner has 4 equal sectors colored pink, purple, blue, and green. What is P(green)? If necessary, round your answer to 2 decimal places.
in 2014 the number of mobile phones was greater than the planet's population question 26 options: true false
The given statement, "in 2014 the number of mobile phones was greater than the planet's population" is true (T) because there were 5.8 billion mobile users globally, about 80% of the world's population, and they each had 1.5 devices.
In 2014, there were more mobile phones than there were people on the planet. This is because many people own more than one phone, either as a personal and work phone or as a backup device. Additionally, the rise of low-cost mobile devices in emerging markets, where many people were purchasing their first phones, contributed to the high number of mobile phones relative to the population.
This trend has continued, with the number of mobile phones in the world continuing to grow, outpacing population growth and driving down the cost of devices so that even more people have access to them.
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vector → = -6ˆ 8ˆ - 4ˆ. vector → = 5ˆ 7ˆ - 3ˆ. what is →=→−→?
The answer to the given the vector subtraction of these vector question is →=→−→=−11ˆ 1ˆ −7ˆ.
The vector subtraction is a mathematical operation that subtracts two vectors. It is denoted by the symbol →=→−→, where → and → are two vectors. The formula for vector subtraction is →−→=→−(−→).
For the given question, let us consider the vectors →=−6ˆ 8ˆ−4ˆ and →=5ˆ 7ˆ−3ˆ. Applying the formula, the vector subtraction of these vectors can be calculated as follows: →−→=(−6ˆ 8ˆ−4ˆ)−(5ˆ 7ˆ−3ˆ) = (−6ˆ−5ˆ) 8ˆ−(7ˆ−3ˆ)−4ˆ = −11ˆ 1ˆ −7ˆ.
Therefore, the answer to the given question is →=→−→=−11ˆ 1ˆ −7ˆ.
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