In slope intercept form, Equation 14x-20y=-13 can be written as 13 + 4y/20 = y.
Define slope intercept form.The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation. The slope, m, is a measure of how steep a line is. The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form. Every point on a line must satisfy the equation for the line in order for it to exist. This implies that a line is represented by a linear equation in two variables.
Given,
Equation
14x-20y=-13
In slope intercept form
13 + 4x = 20y
13 + 4y/20 = y
In slope intercept form, Equation 14x-20y=-13 can be written as 13 + 4y/20 = y.
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Find the value of each variable in the parallelogram.
The value of m and n of the parallelogram is given by the equations ,
The value of m = 5
The value of n = 12
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as ABCD
The measure of side AB = m + 1
The measure of side BC = 12
The measure of side CD = 6
The measure of side CA = n
And , for a parallelogram opposite sides are parallel and opposite sides are congruent
Now , the measure of side AB = measure of CD
The measure of side BC = measure of CA
Substituting the values in the equation , we get
m + 1 = 6
And , n = 12
Subtracting 1 on both sides of the equation , we get
m = 5
Hence , the value of m and n of parallelogram are 5 and 12 respectively
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pls help meee i dont understand this
Answer:
I think the y= (-7)
is the function f a k-to-1 correspondence for some positive integer k? if so, for what value of k? justify your answer
We cannot provide a value for k as requested in the question. Hence, our answer is: No, we cannot determine whether the function f is a k-to-1 correspondence for some positive integer k without having the function f.
justify your answer," we need to first understand what a k-to-1 correspondence is.
A k-to-1 correspondence is a function in which each element in the range has exactly k preimages. In other words, if the function f maps elements from set A to set B, then for each element b in set B, there are exactly k elements in set A that map to b.
In this case, we need to determine if the function f is a k-to-1 correspondence for some positive integer k.Now, let's justify our answer. Since we do not have the function f, we cannot determine whether it is a k-to-1 correspondence or not. Therefore, we cannot provide a value for k as requested in the question. Hence, our answer is: No, we cannot determine whether the function f is a k-to-1 correspondence for some positive integer k without having the function f.
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Solve the inequalities. State whether the inequalities have no solutions or real solutions.7p - 11p + 3 > 3 - 4p
Given,
7p-11p+3>3-4p
-4p+3>3-4p
-4p>-4p
which is absured.
So there is no solution of the inequality.
GIVING BRAINIEST for the correct answer
Use the method of Frobenius and the larger indicial root to find the first four nonzero terms in the series expansion about x=0 for a solution to the given equation for x>0. 3xy''+(1-x)y'-2y=0 (Type an expression in terms of a0, up to the first four terms for the series.)
Thus, the first four nonzero terms in the series expansion are: y(x) = (5/81)x^(2/3) - (35/1944)x^(8/3) + O(x^(14/3)).
We begin by assuming a power series solution of the form:
y(x) = ∑(n=0 to ∞) c_n x^(n+r)
where r is the larger indicial root, and c_n are constants to be determined.
Differentiating y(x) with respect to x, we get:
y'(x) = ∑(n=0 to ∞) c_n (n+r) x^(n+r-1)
y''(x) = ∑(n=0 to ∞) c_n (n+r)(n+r-1) x^(n+r-2)
Substituting these expressions into the differential equation, we get:
3x∑(n=0 to ∞) c_n (n+r)(n+r-1) x^(n+r-2) + (1-x)∑(n=0 to ∞) c_n (n+r) x^(n+r-1) - 2∑(n=0 to ∞) c_n x^(n+r) = 0
Simplifying and grouping terms by powers of x, we get:
∑(n=0 to ∞) [3(n+r)(n+r-1)c_n + (n+r-2)c_(n-2) - 2c_n] x^(n+r) = 0
Since the power series is assumed to be nonzero, the coefficients of each power of x must be zero. Thus, we have the recurrence relation:
3(n+r)(n+r-1)c_n + (n+r-2)c_(n-2) - 2c_n = 0
To find the first few coefficients, we can use the larger indicial root r=2/3, which we can obtain from the indicial equation:
3r(r-1) = 0
Solving for r, we get r=0 or r=2/3. Since r=0 is the smaller root, we use r=2/3 for our power series solution.
For n=0, we have:
3(2/3)(2/3-1)c_0 - 2c_0 = 0
c_0 = 0
For n=1, we have:
3(5/3)(5/3-1)c_1 + (1/3)c_-1 - 2c_1 = 0
c_1 = 0
For n=2, we have:
3(8/3)(8/3-1)c_2 + (5/3)c_0 - 2c_2 = 0
c_2 = 5/81
For n=3, we have:
3(11/3)(11/3-1)c_3 + (7/3)c_1 - 2c_3 = 0
c_3 = -35/1944
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Write an expression for the nth term of the sequence. (your formula should work for n = 1, 2, .) 1 2 , 1 3 , 1 7 , 1 25 , 1 121 ,
The nth term of the sequence can be expressed as: \(1 / (n^2)\)
The given sequence is: 1, 2, 1/3, 1/7, 1/25, 1/121, ...
To find an expression for the nth term of this sequence, we can observe that each term is the reciprocal of a specific pattern of numbers: 1, 2, 3, 4, 5, 6, ...
Notice that the numerator of each term follows a pattern of increasing consecutive positive integers: 1, 2, 3, 4, 5, 6, ...
The denominator of each term follows a pattern of perfect squares: \(1^2, 2^2, 3^2, 4^2, 5^2, 6^2, ...\)
Therefore, the nth term of the sequence can be expressed as:
\(1 / (n^2)\)
So, the expression for the nth term of the sequence is \(1 / (n^2)\). This formula will work for n = 1, 2, 3, and so on.
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calculate the slope of a line
the top 5% of applicants on a test will receive a scholarship. if the test scores are normally distributed with a mean of 600 and a standard distribution of 85, what is the lowest test score that still qualifies for a scholarship? use excel, and round your answer to the nearest integer.
The lowest test score that still qualifies for a scholarship is 632.
To discover the lowest test score that still qualifies for a scholarship, we will use the NORM.INV feature in Excel. This feature returns the inverse of the usual everyday cumulative distribution feature, which can be used to discover the score that corresponds to a given percentile.
The percentile we are interested by is the top 5%, which corresponds to a cumulative possibility of 0.95. we are able to use the formula:
NORM.INV(0.95, 600, 85)
Wherein 0.95 is the probability, 600 is the mean, and 85 is the standard deviation.
Evaluating these component in Excel offers us:
632.39
Rounding to the closest integer, we get:
632
Consequently, the test score which is lowest but still qualifies for a scholarship is 632.
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how can i solve -8/x-11=-2?
Answer:
See below
Step-by-step explanation:
-8/x - 11 = -2
First add 11 to both sides
-8/x - 11 + 11 = -2 + 11 simplifies to -8/x = 9
Now multiply both side by x
( -8/x) X ( x ) = ( 9 ) X ( x ) which simplifies to -8 = 9x
Divide each side by 9
-8/9 = (9x)/9 which simplifies to -8/9 = x or x = - 8/9
46005.75 rouneded to the nearest tenth of a cubic inch
Answer:
46005.8
Step-by-step explanation:
Because you look to the left of 7 and 5 is higher than 4 so you round up.
So the 7 changes into a 8 and the rest stays the same.
15, star a is 83.94 light years away from our sun. star b is 82.9 times more light years away from star a than it is from our sun. star c is 82.93 times more light years away from star b than it is from our sun. how many light years away is star c from our sun? justify your response.
Star C is 69,690.66 light years away from our Sun, which was calculated by multiplying 82.9 by the distance of Star A from our Sun, then multiplying the result by 82.93 and adding it to the distance of Star B from our Sun.
Star C is 69,690.66 light years away from our Sun. To find this, we need to first find the distance of Star B from our Sun. This can be done by multiplying 82.9 by the distance of Star A from our Sun, which is 83.94. This gives us a distance of 7,012.026 for Star B from our Sun. We then multiply this by 82.93 to get Star C's distance from Star B. This gives us a distance of 583,780.36. We then add this to the distance of Star B from our Sun, giving us a total distance of 590,792.386 light years. We round this to the nearest two decimal places, which is 69,690.66 light years.
Star C is 69,690.66 light years away from our Sun, which was calculated by multiplying 82.9 by the distance of Star A from our Sun, then multiplying the result by 82.93 and adding it to the distance of Star B from our Sun.
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What does congruent mean square?
Answer:
All the sides of the square are equalso the squares are congruent.. Are congruent shapes? Two shapes that are the same size and the same shape are congruent.
hope this helps
mark me brainliest
Step-by-step explanation:
the multiplicative property of
-1 1/4
Answer:
Step-by-step explanation:
1 is the answer
Tom can drive his truck 360 miles on 15 gallons of gas. How many miles can he drive per gallon of gas (miles per gallon, which is unit rate)?
Tom can drive 24 miles per gallon of gas
How to find the miles can Tom drive per gallon of gas?
The unit rate is the ratio of a certain number of units of one quantity to units of another quantity. Mathematically, the unit rate is one quantity divided by the other quantity
Given that: Tom can drive his truck 360 miles on 15 gallons of gas
Unit rate = 360 miles / 15 gallons
Unit rate = 24 miles per gallon
Therefore, the unit rate is 24 miles per gallon. Tom can drive 24 miles per gallon of gas
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At a movie theater, the size of popcorn bags decreased 33\frac{1}{3} 3 1 %. If the old bags held 24 cups of popcorn, how much does the new bags hold? At a movie theater, the size of popcorn bags decreased 33\frac{1}{3} 3 1 %. If the old bags held 24 cups of popcorn, how much does the new bags hold?
Answer:56
Step-by-step explanation:
What are the different ways you can solve a system of linear equations in two variables? What is the process for solving a system using each method?
Evaluate the function G(-2)=4x-3
students are conducting an experiment to determine if the amount of sunlight affects the size of clover leaves. they plant clover in two identical pots, placing one next to a window and one inside a cupboard. they water each pot daily with 10 ml of water. which is the independent variable?
In the experiment, the independent variable is the amount of sunlight received by the clover plants.
The amount of sunlight the clover plants receive throughout the experiment serves as the independent variable, as it is being manipulated by the experimenters to determine its effect on the size of the clover leaves.
The dependent variable is the size of the clover leaves, which is being measured as a result of the change in the independent variable (amount of sunlight). The water is a controlled variable, as it is kept constant across both conditions to eliminate its effect on the outcome.
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Find measurement of angle PQR
The angle formed by the intersection of the tangents is as follows:
m∠PQR = 49 degrees
How to find the angle when tangent intersect?The tangent PQ and QR intersect at point Q. Therefore, the measure of the angle formed by two tangents that intersect at a point outside a circle is equal to one-half the positive difference of the measures of the intercepted arcs.
Hence, let's find the angle Q as follows;
m∠PQR = 1 / 2( m∠PSR - m∠PR)
Therefore,
m∠PSR = 360 - 131 = 229 degrees
Hence,
m∠PQR = 1 / 2 (229 - 131)
m∠PQR = 1 / 2 × 98
m∠PQR = 49 degrees
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189 minutes equal how many hours and minutes
Answer: 3 hours and 15min
Step-by-step explanation:
Answer:
3 houurs and 9 minutes
Step-by-step explanation:
Which graph below is connected?
Answer:
number 1 i already answered that and Im correct
You and a friend are playing a game of chance. Every time you roll a 1 or 2 you are successful, and your friend will pay you $1. Every time you roll (using a fair die) a 3, 4, 5 or 6, you must pay your friend $2. If 71% of your rolls are successful and 29% of your rolls are unsuccessful, how much money do you expect to have earned/owed by the end of the game
Considering the mean of a discrete distribution, you are expected to earn $0.13 by the end of the game.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
Since 71% of your rolls are successful and 29% of your rolls are unsuccessful, the distribution of your earnings is:
P(X = 1) = 0.71.P(X = -2) = 0.29Hence the expected value is:
E(X) = 1 x 0.71 - 2 x 0.29 = 0.71 - 0.58 = 0.13
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if the area of a triangle is 5/36 and the height is 1/3 what is the base
\(\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh ~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ h=\frac{1}{3}\\[1em] A=\frac{5}{36} \end{cases}\implies \cfrac{5}{36}=\cfrac{1}{2}\cdot b\cdot \cfrac{1}{3}\implies \cfrac{5}{36}=\cfrac{b}{6} \\\\\\ 30=36b\implies \cfrac{30}{36}=b\implies \cfrac{5}{6}=b\)
there are sticks of lengths . how many incongruent triangles can be formed by using three of the given sticks?
It depends on the lengths of the sticks. If the lengths form a triangle, then three incongruent triangles can be formed.
1. First, check to see if the lengths of the sticks form a triangle. This can be done by comparing the lengths of the sticks to the Triangle Inequality Theorem, which states that the sum of any two sides of a triangle must be greater than the measure of the third side.
2. If the lengths of the sticks form a triangle, then three incongruent triangles can be formed by using the given sticks. To do this, take any three sides of the triangle and create three different triangles with those sides.
It depends on the lengths of the sticks. If the lengths form a triangle, then three incongruent triangles can be formed.
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How do analogies help readers (1 point)
1. They help readers understand definitions
2. They help readers identify figurative language
3. They help readers analyze the relationship between words
4. They help readers to better comprehend a plot
4. They help readers to better comprehend a plot. An analogy is a comparison of two, otherwise unrelated, things based on similarities in a single feature.
An analogy is what?a comparison of two otherwise disparate objects based on a shared characteristic; similarity; similarity in some specifics between disparate things.
An example of an analogy?To provide an explanation, lets compares one thing to another. "Life is like a box of chocolates—you never know what you're going to get," as an example. When making an analogy, you can utilise metaphors and similes. What Qualifies as a Good Analogy? An effective analogy strikes a balance between the competing objectives of familiarity and representativeness. Good analogies are well-known. They provide words for an abstract concept.
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A survey of 150 people at a local high school about playing video games was conducted, and the results are posted in the table.
Play Video Games Do Not Play Video Games
Juniors 48 12
Seniors 45 25
Teachers 6 14
What is the probability of choosing a person at random who is a junior and plays video games? Are these independent events?
The P(junior and video games) = 32%; the two events are independent.
The P(junior and video games) = 32%; the two events are not independent.
The P(junior and video games) = 26%; the two events are independent.
The P(junior and video games) = 26%; the two events are not independent.
The correct statement regarding the probability of choosing a person at random who is a junior and plays video games, and whether these events are independent, is given as follows:
P(junior and video games) = 32%; The two events are not independent.
How to calculate the probability?A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The outcomes in this problem are given as follows:
Desired: Junior and plays videogames -> 48 students.Total: 150 students.Hence the probability is of:
P(junior and video games) = 48/150 = 0.32 = 32%.
The separate probabilities are given as follows:
Junior: 60/150 = 0.4.Plays videogames: 99/150 = 0.66.The multiplication of these probabilities is of:
0.66 x 0.4 = 0.264.
Which is different of 0.32, hence these events are not independent.
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On average, what value is expected for the F-ratio if the null hypothesis is true? a. 1 b. k-1 c. N-k on average, what value is expected for the F-ratio if the null hypothesis is false? a.1 b. 0
c. Between 0 and 1.00 d. Much greater than 1.00
The F-ratio is a measure used in statistical tests, specifically in ANOVA (Analysis of Variance) to test for differences between means of multiple groups.
a) On average, what value is expected for the F-ratio if the null hypothesis is true?
The answer is a. 1. If the null hypothesis is true, it means that there is no significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value close to 1, as the variance between the groups is not significantly different from the variance within the groups.
b) On average, what value is expected for the F-ratio if the null hypothesis is false?
The answer is d. Much greater than 1.00. If the null hypothesis is false, it means that there is a significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value much greater than 1, as the variance between the groups is significantly larger than the variance within the groups.
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How do I go about solving this? (Teacher got sick mid-lesson & still wanted us to finish the worksheet but he never went over how to solve this kind of equation) Any kind of help is greatly appreciated.
\(g(a) = 4a-2\\h(a) = 3a\\Find: g(h(8))\)
The composite function g(h(8)) when evaluated is 94.
Evaluating the composite functionsFrom the question, we have the following parameters that can be used in our computation:
g(a) = 4a - 2
h(a) = 3a
To find g(h(8)), we need to first evaluate h(8), and then plug that result into g(a) and simplify.
h(a) is defined as 3a, so h(8) = 3(8) = 24.
Now we can plug in 24 for a in g(a) and simplify:
g(a) = 4a - 2
g(h(8)) = g(24) = 4(24) - 2 = 94
Therefore, g(h(8)) = 94.
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A student begins to build a model of a downtown bridge in the city where he lives. He
measures some of the angles formed by the sides of the model.
The student says both x and y are 65. Why is he incorrect? Use the drop-down menus t
explain your answer.
Considering supplementary angles, we have that the measures of x and y are given as follows:
x = 50º.y = 80º.We also have that x and y have different measures, hence the student is incorrect, and x and 40º are complementary.
What are supplementary angles?Supplementary angles are angles whose measures add to 180º.
The three internal angles of a triangle are supplementary, hence we can find x as follows:
90 + 40 + x = 180
130 + x = 180
x = 50º.
Angles x, y and 50º are also supplementary, hence:
x + y + 50 = 180
50 + y + 50 = 180
y = 80º.
The angles with measures x and 40º are complementary, as they add to 90º.
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Answer:
sum up to 130 but not equal
Step-by-step explanation: