Answer:
No, Estelle made a mistake in step 2
Step-by-step explanation:
HELP ME PLEASE,IM DOING A FINAL.
Relation between base and height of parallelograms is a function [tex]f(x)=\frac{48}{x}[/tex].
What is a function?Relations called functions provide an output for each input. The characteristic that every input is associated to exactly one output defines a function as a relation between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.
Calculation:Based on the values listed in the table for the parallelograms' base length and height, you can see that the base length grows by one unit, giving you the numbers 1, 2, 3, and 4. When base length increases by one unit, height reduces by 1/x, as shown in the following example:
Height and base length have the following relation:
[tex]f(x)=\frac{48}{x}[/tex]
where x is the base length and f(x) is the height.
[tex]f(1)=\frac{48}{1}= 48\\f(2)=\frac{48}{2}=24\\f(3)=\frac{48}{3}=16\\f(4)=\frac{48}{4}=12\\f(6)=\frac{48}{6}==6[/tex]
Relation between base and height of parallelograms is a function [tex]f(x)=\frac{48}{x}[/tex].
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How do you write 4x 5y 20 in slope intercept form?
4x+5y=20 in slope intercept form would be y= (-4/5)x + 4.
What do you mean by slope?
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
4x + 5y = -20
-4x -4x
5y = -4x - 20
divide it all by 5
y = -4/5x - 4
Slope intercept form is y=mx+b. So you would first subtract 4x from both sides. This ends up being 5y= -4x +20. Then divide both sides by 5. This gets you y= (-4/5)x +4.
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Function c is defined by the equation
c(n) = 20 + 20n. It gives the
monthly cost, in dollars, of visiting a
gym as a function of the number of
visits, n.
Find the value of c(5)
Explain your method for
solving, and
3. Explain what the value means
in this situation.
Pleas help
The value of the function c(n) = 20 + 20n at n = 5 will be 120.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that function, c is defined by the equation c(n) = 20 + 20n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits n.
The value of the function f(5) will be calculated as,
c(n) = 20 + 20n
c(5) = 20 + ( 20 x 5 )
c(5) = 20 + 100
c(5) = 120
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Is the relationship between volume and moles of gas proportional or inversely proportional?
The volume of the gas approximately directly proportional to its number of moles of gas when both temperature and pressure are constant.
Explain the Mole-Volume Relationship - Avogadro’s Law?The volume of a gas being directly proportional to the amount of moles of that gas, according to a plot illustrating the relationship between temperature and volume of a gas under constant pressure. Avogadro's law is cited in support of this: When the pressure (P) and temperature (T) are constant, the volume (V) of an ideal gas (n) directly varies depending on the number of moles of the gas (n).V∝ n at constant P and T
V = constant × (n)
Vn = constant
This can be mathematically stated as follows: As before, we can anticipate what will change to the volume of the a sample of gas as we adjust the number of moles using Avogadro's law.
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Find the magnitude of the projection of〈-4,-4⟩ onto the vector ⟨−1,−6⟩
Answer:
[tex]\dfrac{28\sqrt{37}}{37} \approx 4.6\; \sf (nearest\;tenth)[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{7 cm}\underline{Scalar projection}\\\\Scalar projection $=\dfrac{u \cdot v}{|u|}$\\\\where:\\ \phantom{ww}$\bullet$ $u$ is the vector being projected onto.\\\end{minipage}}[/tex]
Given:
u = 〈-1, -6⟩v = 〈-4, -4⟩Calculate the magnitude of vector u:
[tex]\implies |u|=\sqrt{(-1)^2+(-6)^2}=\sqrt{37}[/tex]
The scalar projection is the magnitude of the vector projection.
Therefore, the magnitude of the projection of vector v onto vector u is:
[tex]\implies \dfrac{u \cdot v}{|u|}=\dfrac{\langle -1, -6\rangle \cdot \langle-4, -4\rangle}{\sqrt{37}}=\dfrac{4 +24}{\sqrt{37}}=\dfrac{28}{\sqrt{37}}=\dfrac{28\sqrt{37}}{37}[/tex]
How do you explain square root to a child?
Therefore , we can explain square roots to the child with the help of following explanation and examples.
How is the square root defined?A number's square root, which is the result of multiplication by itself, yields the original number. Some examples of exponents are squares and square roots. Imagine the number twenty five. Additionally, this can be expressed as expression of 5x5.
Here,
The square root is the same as the square in every way. You could think of it as the square's "root" or the number that was utilized to create the square.
The square root symbol is as follows:√
For example: √9 = √3*3 = 3
√25 = √5*5=5
√4 = √2*2 = 2
are the square roots of the following numbers .
Here we can see it is very easy to calculate the square root
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What percent is a 3 to 1 slope?
The percent of 3 to 1 is:
Slope Ratio: 3:1 or 3 to 1
Percent Slope: 33%
What was the slope?There is a picture of what the slope is down below:
Therefore, The percent of 3 to 1 is:
Slope Ratio: 3:1 or 3 to 1
Percent Slope: 33%
Two angles of a quadrilateral measure 133⁰ and 188°. The other two angles are in a ratio of
6:7. What are the measures of those two angles?
Answer:
18 and 21
Step-by-step explanation:
We take those two angles as 6x and 7x
133⁰ + 188° + 6x + 7x = 360(Sum of angles of a quadrilateral)
321+13x=360
13x=360-321
13x=39
x=39/13
x=3
6x=6x3=18
7x=7x3=21
How do you find the standard deviation of a sample given the mean and sample size?
Using the sample mean and the provided sample size, We can find the sample standard deviation by using the formula [tex]\sqrt \frac {\sum {(x-\bar x)^{2}}}{n-1}[/tex] .
What do you mean by sample?Sampling is the process of choosing a portion of a statistical population to estimate attributes of the entire population in statistics, quality control, and survey methods. Statisticians try to get samples that are typical of the population under consideration.
What is mean and standard deviation?The arithmetic mean, also known as the arithmetic average or simply the mean or average, is the sum of a set of numbers divided by the total number of numbers in the set. The collection frequently consists of a series of findings from a survey, experiment, or observational study.
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
sample mean = [tex]\bar x[/tex]
sample size = n
sample standard deviation = [tex]\sqrt \frac {\sum {(x-\bar x)^{2}}}{n-1}[/tex]
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Por favor ayuda con el gráfico y la tabla pls
How do you simplify complex fraction expressions?
To simplify a complex fraction expression, first identify the numerator and denominator of each fraction.
What is complex fraction?A complex fraction is a fraction that contains one or more fractions in the numerator, denominator, or both. This type of fraction requires additional steps to simplify and can often be reduced to a simpler fraction or a whole number. Complex fractions are also known as compound fractions or nested fractions.
Then, factor each fraction into its simplest form by dividing each numerator and denominator by their greatest common factor. Finally, combine the fractions by multiplying the numerators and denominators. This will result in a simplified expression.
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Which strategy can be used to prove that the diagonals of a parallelogram bisect each other?.
The strategy that can be used to prove that the diagonals of a parallelogram bisect each other is congruent triangles .
Given :
Let ABCD is a parallelogram with midpoint M .
To prove that he diagonals of a parallelogram bisect each other we have to go through the following steps:
Angle DBA is congruent to angle BDC.
Angle CMD is congruent to angle AMB.
Triangle CMD is congruent to triangle AMB.
Segment AM is congruent to segment MC.
M is the midpoint of segment AC.
Segment BD bisects segment AC.
Segment BM is congruent to segment MD.
M is the midpoint of segment BD.
Segment AC bisects segment BD.
Hence we have to use the concept of congruent triangles in order to prove that the diagonals of a parallelogram bisect each other.
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What is the difference in value between the three's in the numeral below? 632 387
Answer:
One is 30,000 and the other is 300
If 10x +5 = 100, is x greater than 10 or less than 10? Without solving the equation, explain how you
know.
If 10x +5 = 100, then x is less than 10 without solving the equation, x will be multiplied with 10, and if 10 is mulptiplied with 10, it will givess 100, then 100 plus 5 will give 105 which is more than 100.
How can this be calculated?given the equation as 10x +5 = 100
then the equation can be rearranged as 10x = 100 - 5
this can be rearranged by substracting 5 from 100, which is
10x = 95
then we can make x the subject of the formula as
x=95/10
= 9.5
hence x= 9.5
Therefore, if 10 is mulptiplied with 10, it will givess 100, then 100 plus 5 will give 105 which is more than 100.
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How do I determine if this equation is a linear function or a nonlinear function?
An equation is considered linear if it is in the form of [tex]y = mx + c[/tex] where m is the slope of the equation and b is the y-intercept.
Notice how here, x can only be to the power of one. In here, the conditions are just simply m,c ∈ R.
Some examples include [tex]y = 8x + 9, 2y = x-7, 8y=0[/tex] and even some like [tex]x=4[/tex].
As you can see here, all of the following equations are represented using a straight line.
An equation is considered “non-linear” when it is not graphed using straight lines. Some examples include [tex]y = 3x^{2} +8, 4y =2x^{4}-6, y = x^{5} +86[/tex].
In conclusion, a linear equation will always be in the form of , where m is the slope of the equation, and b is the y-intercept of the equation.
Note: To determine if an equation is a linear function, it must have the form (in which m is the slope and b is the y-intercept). A nonlinear function will not match this form.
In a linear equation, the variables appear in first degree only and terms containing products of variables are absent. But in the case of nonlinear equations, at least one variable is not of the first degree or the equation contains a product of variables.
An equation is linear if its graph forms a straight line. This will happen when the highest power of x is . Graphically, if the equation gives you a straight line then it is a linear equation. Else if it gives you a circle, or parabola, or any other conic for that matter it is a quadratic or nonlinear equation.
If the highest power of x in the equation is one then it is a linear equation else if the power of x is greater than one then it is nonlinear.
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We can determine if this equation is a linear function or a nonlinear function by looking at their graph.
What are linear functions and non-linear functions?
Simplify the equation as closely as possible to the form of y = ax + b.
On a Cartesian Plane, a linear function is a function where the graph is a straight line. The line can go in any direction, but it's always a straight line. The linear functions don't have any exponents higher than 1. Some of them don't have variables at all, and if they do, they have just plain x, which is equal to x to the first power. When a linear function is written in its simplest form, it looks like[tex]y = a + bx[/tex], where [tex]a[/tex] and [tex]b[/tex] are both constants. For example, here are some linear functions:
y = 3 + 5x
y = 2 - 6x
y = 4x
On a cartesian plane, a non-linear function is a function where the graph is never a straight line it is always curved may be a parabola, hyperbola or something else. Non-linear functions all have atleast one variable raised to the power of two or more. There's no one formula for non-linear functions because they're all different. For example, here are some non-linear functions:
y = 3x^3 + x^2 - 7
y = 5x^5 - 3x^2 +2
We can determine if this equation is a linear function or a nonlinear function by looking at their graph.
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The ize of a rectangle i 25 cm by 16 cm. A quare ha the ame area a the rectangle. Find the
perimeter of the quare
The square has a 48 centimeter perimeter.
To find the perimeter of the square, we need to calculate its side length. The area of a rectangle is given by its length multiplied by its width, so we can use the given measurements of the rectangle to calculate its area: 25 cm x 16 cm = 400 cm². The area of a square is given by the square of its side length, so we can use the area of the rectangle to calculate the side length of the square: √400 cm² = 20 cm.
Thus, the perimeter of the square is equal to 4 times its side length, or 4 x 20 cm = 80 cm.
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How to do algebra Grade 6?
The steps for solving an algebraic problem can be summarized as follows Identify the problem and what you need to find (the variable). Determine what information you have about the problem, including any equations or other relevant information. Develop a plan for how to approach the problem and solve the variable. Implement your plan and perform the necessary calculations to solve for the variable. Check your solution to make sure it makes sense in the context of the problem and that it satisfies the original equation or conditions.
There are several basic steps that can help you solve algebraic equations in grade 6:
Read the problem carefully and determine what you are trying to find (the variable).Identify the operation(s) that need to be performed to solve the equation.Use the order of operations to determine the sequence in which the operations should be performed.Perform the operations in the correct order, starting with any operations inside parentheses or brackets.Simplify the equation by combining like terms on either side of the equal sign.Solve the equation by performing the opposite operation on both sides of the equal sign to isolate the variable.Check your solution by substituting it back into the original equation to make sure it works.Here's an example of how to use these steps to solve an equation:
Solve the equation 3x + 7 = 11.The variable we are trying to find is x.The operation we need to perform is to get x by itself on one side of the equal sign.There are no parentheses or brackets, so we can start by performing the operation on the right side of the equal sign.Subtract 7 from both sides of the equation: 3x = 4.Divide both sides by 3: x = 4/3.Check the solution by substituting it back into the original equation: 3(4/3) + 7 = 11, which is true.So, the solution to the equation is x = 4/3.Learn more about algebra at
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Find the equation of the line shown below.
A. y = –0.2x + 2
B. y = –5x + 2
C. y = 0.2x + 5
D. y = 5x + 2
Answer:
A. y = –0.2x + 2
Step-by-step explanation:
It is a negative slope and intersects at (0, 2).
Answer: A. y = –0.2x + 2
Step-by-step explanation:
We see that the answer options are in slope-intercept form, so we will find the slope and the y-intercept of this line to write our equation.
The line intercepts the y-axis at (0, 2), so the ending of our equation will be "+ 2" for the intercept.
Next, we will find the slope. We see that for everyone one unit moved downward, there is 5 units right. This becomes a slope of -1/5, which is the same as -0.2.
Using these details, the correct answer is;
A. y = –0.2x + 2
11. If the perimeter of ABCD is 600 ft. and AD=2x-10 find AB.
Answer:balls
Step-by-step explanation:
balls
What is the factor of 3x² 7x 2?
The factors of the quadratic expression 3x² + 7x + 2 are 3x + 1 and x + 2.
We know for a quadratic expression of the form ax² + bx + c, the sum of the roots is -b/a and product of the root is c/a.
So in the given case
a = 3
b = 7
c = 2
Let the roots be α and β, therefore
α + β = -b/ a = -7/ 3
Also αβ = 2/3
We can find α and β by trial and error method. Else using the identity (a+b)² = a² + 2ab + b² and (a-b)² = a² - 2ab + b², we get
(a - b)² = (a + b)² - 4ab
Therefore
(α - β)² = (α + β)² - 4αβ
(α - β)² = (-7/ 3)² - 4×2/3
(α - β)² = 25/9
Assuming α>β,
α - β = 5/3
So solving α + β = -7/ 3 and α - β = 5/3, α = -1/ 3 and β = -6/3 = -2
Therefore simplifying
3x² + 7x + 2
= 3(x + 1/3)(x + 2)
= (3x + 1)(x + 2)
--The question is incomplete, answering to the question--
"What is the factor of 3x² + 7x + 2?"
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Write an expression that can be used to find 65% of 120.
Lincoln is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. An equation representing the total cost of using a computer for tt minutes at the internet cafe is given by C=t+5.C=t+5. What is the yy-intercept of the equation and what is its interpretation in the context of the problem?
The y-intercept of the equation of the line is 5
Slope intercept form:The slope-intercept form of a line is given by
y = mx + cHere m is the slope of the line and c be the y-intercept
Here we have
Lincoln is going to use a computer at an internet cafe.
The equation that represents the total cost of using the computer in t minutes is given by C = t +5
Here the given equation resemblance the slope-intercept form
y = mx + c
As we know in y = mx + c
The y-intercept of the line will be c
When we compare C = t + 5 with y = mx + c
=> c = 5
Therefore,
The y-intercept of the equation of the line is 5
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If the length of a rectangle is increased by 30% and the width is decreased by 30%, then the area:.
The area of the given rectangle will decrease by 9 % .
What is a rectangle?
The rectangle is a geometrical figure in which opposite sides are equal.
Area of rectangle = length × width.
Perimeter of rectangle = 2( length + width ).
Area of rectangle is given by = Length ( L ) × Width ( W )
The length of a rectangle is increased by 30%
New length L' = 1.3L
width of the same rectangle is decreased by 30%
New width( W' ) = 0.70W
Now,
New area = L'W'
1.3L × 0.70W = 0.91LW = 0.91 Old area
Hence the percentage decrement
(Old area - 0.91 old area)/old area × 100 = 9%.
Hence, The area of the given rectangle will decrease by 9 %
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Express the given product as a sum containing only sines or cosines.
sin (50) cos (20)
The zeros are thetas btw
Pls help I don't have much time
Answer:
s (50) c (20) s (50) c (20) = 0
Step-by-step explanation:
Hope this helps
Please help I will give brainliest
Answer:
I know how to do this problem, but before I do, this isn't a live test, correct?
I recognize that your photo is from an eCampus quiz. I want to make sure I don't violate the honor code when answering.
-x+10x=9x+5 i need x please
Answer:No answer
Step-by-step explanation: Simplify like terms first if possible
on LS=-X+10X=9X
9X=9X+5
We need to get Xs on one side to solve equation
We aim to have the Xs on the left side
we take 9X from both sides
9X-9X=9X-9X+5
0=5
No solution
Dominic needs a new bike mirror his old mirror was a square with a side length of 9cm he wants the new mirror to have an area as close as possible to his old bike mirror
Answer choices 8cm 7cm 5cm
Answer:
If his old mirror had a side length of 9cm, that means the area would be 81cm (9 times 9)
For the circles:
A radius of 8: 201.06
A radius of 7: 153.94
A radius of 5: 78.54
The only one of these answers that is remotely close to dominics original mirror would be C: the radius of 5. 81 is close to 78.5!
the random() method generates numbers greater than or equal to 0 and less than 1. group of answer choices true false
True. The random() method is a function that generates a random floating-point number between 0 (inclusive) and 1 (exclusive).
This means that the generated number will be greater than or equal to 0 and less than 1. For example, a call to random() might return a value like 0.342341, 0.859203, or 0.000001.
Here is an example of how the random() method can be used in Python to generate a random float between 0 and 1:
import random
# Generate a random float between 0 and 1
x = random.random()
print(x)
The output of this code might be something like 0.342341 or 0.859203.
Therefore, it's true that The random() method is a function that generates a random floating-point number between 0 (inclusive) and 1 (exclusive).
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This means that the generated number will be greater than or equal to 0 and less than 1. For example, a call to random() might return a value like 0.342341, 0.859203, or 0.000001.
Here is an example of how the random() method can be used in Python to generate a random float between 0 and 1:
import random
# Generate a random float between 0 and 1
x = random.random()
print(x)
The output of this code might be something like 0.342341 or 0.859203.
Therefore, it's true that The random() method is a function that generates a random floating-point number between 0 (inclusive) and 1 (exclusive).
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The odds in favor of an event are 8 to 3. What is the probability of the event?
The answer to your Question is 3:8
Find the coordinates of the focus and equation of the directrix for the parabola given by.
The value of p is -1, and the coordinates of the focus are (-1,0) The equation of the directrix is 1.
The general equation for this parabola is
y^2 = 4px
To Find the value of p:
We are told that the equation of the problem is y^2 = -4x
And the general formula is
y^2 = 4px
From there, we can deduce that
p = -1, because y^2 = 4(-1)x = -4x
This means that p = -1
To Find the focus:
To find the focus we can see the equations attached below for the focus, vertex, and directrix.
In these cases, the equations still apply, even though the variable is inverted, we just need to adjust it
y^2 = -4x
=>x = (-1/4)*y^2
x = a*y^2 + b*y +c
Focus: ((4ac -b^2 + 1)/4a, -b/2a)
But, b = 0 and c = 0
=>(1/4a,0) = (1/4(-1/4),0) = (-1,0)
Focus = (-1,0)
To Find the directrix:
The equation is x = c - (b^2 + 1).4a
But, b = 0 and c = 0
x = -4*a
x = -4* (-1/4) = 1
x = 1
Directrix x = 1
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