Therefore , the mathematics make us cry because we aren't able to understand the mathematics .
What is mathematics ?Numbers, forms, logic, quantity, equation and arrangements are all topics covered in the study of mathematics. Math allows students to identify solutions to problems through numerical variable computations.
Here,
Anxiety may be indicated by tears or anger, particularly if they only occur during math.
Students who struggle with math anxiety are prone to being very critical of themselves and operating under the damaging and incorrect belief that being strong at arithmetic entails fast obtaining the right answers.
These ideas and attitudes are very restrictive.
Therefore , the mathematics make us cry because we aren't able to understand the mathematics .
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a sampling plan in which an initial sample is selected and the audit team either draws a final conclusion or selects additional items before drawing a final conclusion is called
a sampling plan in which an initial sample is selected and the audit team either draws a final conclusion or selects additional items before drawing a final conclusion is known as Sequential sampling
Sequential sampling is a non-probability sampling strategy where the researcher selects one or more populations within a time frame, conducts his research, evaluates the findings, and then selects further populations as necessary. This sampling strategy offers the researcher limitless opportunities to adjust his research procedures and obtain a keen understanding of the study he is currently conducting.
Sequential sampling has a number of benefits, including limitless options for sample size selection and sampling schedule, little cost and labor requirements, and the ability to make minor alterations and modifications to the primary research even during the early stages of the project.
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A line u passing through the point (-8, -2) is perpendicular to the line y that cu
the x-axis at x = 5 and y-axis at y = -4. Find the equation of the line u.
Answer:
y = - 5/4x -12
Step-by-step explanation:
Original slope= (0- -4)/(5-0)=4/5
slope of perpendicular line of original = -5/4
so the line passes through the point (-8,-2)
(y - -2) = -5/4 (x - -8)
y + 2 = -5/4x - 10
y = - 5/4x -12
The equation of line u passing through the point (-8, -2) and which is perpendicular to the line y that cut the x-axis at x = 5 and y-axis at y = -4 is 5x + 4y + 18 = 0
Given that line, u passes through (-8,-2) and is perpendicular to line y
line y cut x-axis at x=5 and y-axis at y=-4
that is the point of intercept are : (x1, y1) = (5,0) and (x2, y2) = (0, -4)
Now, the equation of line = (y - y1) = m1*(x - x1)
Here m is the slope of line y
m1 = (y1 - y2)/(x1 - x2)
On solving,
m1 = (0 - (-4))/(5 - 0) = 4/5
We know that when two equations are perpendicular then the multiplication of their slopes = -1
m1 * m2 = -1
Now, m2 = -1/m1 = -5/4
Equation of line u passing through the point (-8, -2) and perpendicular to the line = (y - y1) = m2*(x - x1) => (y - (-2)) = -5/4*(x - (-8)
5x + 4y + 18 = 0
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19)
Is the product of √8 and √98 rational or irrational? Justify your answer.
Answer:
They are both irrational
Step-by-step explanation:
so the square root of 8 is 2.82842712475 which is irrational because it is not a perfect square or repeated decimal pattern.
the square root of 98 is also irrational for the same reason but the square root is 9.89949493661.
The product of two √8 and √98 irrational number is irrational.
What is Rational Number?A rational number is any number that can be expressed as a ratio (or fraction) of two integers.
Any real number that cannot be represented as the quotient of two integers is irrational.
Given:
The rational number are : √8 and √78
As, the √8= 2.82842712475 which is irrational because it is not a perfect square or repeated decimal pattern.
and, √98 = 9.89949493661 is also irrational.
Hence, the product of two irrational number is irrational.
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A system of two linear equations is graphed on a coordinate plane. if the system of equations has infinitely many solutions, which statement must be true? A On the graph, there are no points (x,y)\left(x,y\right)(x,y) that satisfy both equations. B On the graph, there is exactly one point (x,y)\left(x,y\right)(x,y) that satisfies both the equations. C On the graph, any point (x,y)\left(x,y\right)(x,y) that satisfies one of the equations cannot satisfy the other equation. D On the graph, any point (x,y)\left(x,y\right)(x,y) that satisfies one of the equations must also satisfy the other equation.
Answer:
Step-by-step explanation:
D?
A manufacturer of corrugated metal roofing wants to produce panels that are u = 48 in. wide and 2 in. thick by processing flat sheets of metal as shown in the figure. The profile of the roofing takes the shape of a sine wave with equation y = sin(pi x/12). Find the width w of a flat metal sheet that is needed to make a 48-inch panel. (Use your calculator to evaluate the integral correct to four significant digits.) in.
To manufacture a panels that are u = 48 in. wide and 2 in. thick with the profile of the roofing takes the shape of a sine wave with equation y = sin(pi x/12) from flat sheet, the width of the flat sheet would be 49.59in.
Therefore the answer is 49.59
To find the arc length of a continuous function, you need to first define the function and the interval over which you want to find the arc length. Then you can use the following formula:
Arc Length = ∫√(1+(f'(x))^2) dx
Here, f(x) is the function and the interval is [a, b].
The width, w of the flat metal sheet needed to make the panel is the arc length of the sine curve from x = 0 to x = 48in
In this case, f(x) = sin(pi x/12), so the derivative of f(x) is
f'(x) = (pi/12)cos(pi x/12)
Arc Length = ∫√(1+((pi/12)cos(pi x/12))^2) dx from x=0 to x=48
Arc Length ≈ 49.59 in
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x557x55 is divisible by 11. find the value of x
Step-by-step explanation:
A number is divisible by 11 if and only if the difference between sum of alternate digits is divisible by 11.
Here the number is x557x55. The difference between the sum of alternate digits is,
[tex]\longrightarrow S=(x+5+x+5)-(5+7+5)[/tex]
[tex]\longrightarrow S=2x-7[/tex]
By statement, the number x557x55 is divisible by 11 if and only if [tex]S=2x-7[/tex] is divisible by 11.
Let,
[tex]\longrightarrow 2x-7=11a[/tex]
[tex]\longrightarrow 2x=11a+7\quad\dots(1)[/tex]
We separate the RHS as the following.
[tex]\longrightarrow 2x=10a+a+6+1[/tex]
[tex]\longrightarrow 2x=10a+6+a+1[/tex]
[tex]\longrightarrow 2x=2(5a+3)+(a+1)[/tex]
In this question, the LHS is an even integer since x is a digit, i.e., integer. So RHS should also be an even integer.
Since [tex]2(5a+3)[/tex] is even, [tex]a+1[/tex] must be even. So let,
[tex]\longrightarrow a+1=2k[/tex]
[tex]\longrightarrow a=2k-1[/tex]
Then (1) becomes,
[tex]\longrightarrow 2x=11(2k-1)+7[/tex]
[tex]\longrightarrow 2x=22k-4[/tex]
[tex]\longrightarrow x=11k-2\quad\dots(2)[/tex]
So this is expression for x, for any integer k.
As x is a digit of x557x55, x is a single digit integer, so its value lies in between 1 and 9 [x ≠ 0 because it is also the left most digit of x557x55], i.e.,
[tex]\longrightarrow 1\leq x\leq 9[/tex]
From (2),
[tex]\longrightarrow 1\leq 11k-2\leq 9[/tex]
Adding 2,
[tex]\longrightarrow 3\leq 11k\leq 11[/tex]
Dividing by 11,
[tex]\longrightarrow\dfrac{3}{11}\leq k\leq 1[/tex]
Since k is an integer, we get,
[tex]\longrightarrow k=1[/tex]
Then from (2),
[tex]\longrightarrow x=11(1)-2[/tex]
[tex]\longrightarrow\underline{\underline{x=9}}[/tex]
Hence the value of x is 9.
What are the 4 criteria for the congruence of triangles?
Criteria for congruence of triangles are SSS, SAS, ASA, AAS, RHS.
As per the given data we have to determine the criteria for the congruence of triangles.
The criteria is SSS, SAS, ASA, AAS, RHS.
SSS- Two triangles are congruent if all the 3 corresponding sides of the given triangles are equal.
SAS- Two triangles are congruent if 2 corresponding sides of the given triangles and the angle included between those sides are equal to each other.
ASA- Two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding angles and sides of another triangle.
AAS- if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then two triangles are congruent with each other.
RHS- If the hypotenuse and a side of a right angled triangle are congruent with the hypotenuse and the corresponding side of another right angled triangle, then the two triangles are congruent with each other.
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What is 2 5 equivalent to in fractions?
The fractions equivalent to 2/5 are 4/10, 6/15, 8/20, etc.
Now, According to the question:-
Equivalent fractions can be written by multiplying or dividing both the numerator and the denominator by the same number. This is the reason why these fractions get reduced to the same number when they are simplified.
Let us understand the two ways in which we can make equivalent fractions:
Multiply the numerator and the denominator by the same number, or,Divide the numerator and the denominator by the same number.Hence, the equivalent fractions for 2/5 are:
(2/5) × (2/2) = (2 × 2) / (5 × 2) = 4/10
(2/5) × (3/3) = (2 × 3) / (5× 3) = 6/15
(2/5) × (4/4) = (2 × 4) / (5 × 4) = 8/20
Thus, 4/10, 6/15, 8/20 are equal to 2/5,
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What is the difference between a checking and savings account quizlet?
A checking account is used for daily basis transaction and a debt and is usually associated with it.Saving accounts is just used for saving money.It has a time limit then you can withdraw your money.It is not on daily basis.
What is check account quizlet?A bank account that allow the user to withdraw the money ,pay bill,transfer money to other person or make a purchase anything by writing checks.Check accounts typically don't earn interest.By checking accounts we can easily deposit and withdraw money for daily transaction.
What is saving account quizlet?Saving accounts are intended for storing your money which you don't plan to use daily.saving accounts earns interest at your money.saving account is designed for the accumulation of money in a safe place for future use.saving accounts offer easy access to your money in any emergency.so keeping your money in a saving account means that your money is safe for your future use.
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Hi! i need some help:)
Answer:
y=1/2x+-2
Step-by-step explanation:
Write a rule for the reflection.
(x,y) = ( , )
The rule of reflection for the points (x, y) for the graph is (y, - x).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
The preimage of the given line has points(x, y), B(2, 3) and C(1, 6).
Now, The graph has been translated down 2 units and reflected 180° along the x-axis so the image of the graph has points(y, - x) B'(3, - 2) and C'(6, - 1).
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It is given that A⃗ −B⃗ =(−51.4m)x^,C⃗ =(62.2m)x^, and A⃗ +B⃗ +C⃗ =(13.8m)x^.
Find the vector A⃗ . Find the vector B⃗ .
The vector A is (49.9m) x and vector B is (1.5m) x.
In the given question, A − B = (−51.4m)x, C =(62.2m)x, and A +B +C =(13.8m)x.
Find the vector A. Find the vector B.
We may disregard the vector x and treat the issue as an arithmetic one since all of the measurements are in the same direction (simultaneous equations).
A − B = −51.4.............................(1)
C = 62.2.............................(2)
A + B + C = 13.8.............................(3)
Now putting the value of C from Equation (2) in Equation (3)
A + B + C = 13.8
A + B + 62.2 = 13.8
Subtract 62.2 on both side, we get
A + B = 13.8 - 62.2
A + B = - 48.4.....................(4)
Adding the equation (1) and (4), we get
2A = - 99.8
Divide by 2 on both side, we get
A = - 49.9
Now subtracting the equation (1) and (4), we get
2B = -48.4 - ( -51.4)
2B = 3
Divide by 2 on both side, we get
B = 1.5
Since all of the calculations are done in terms of the unit vector x.
So the answer is vector B = (1.5m) x and vector A = (49.9m) x.
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Can SAS be proven congruent?
Yes , SAS (Side-Angle-Side) is a second Congruence postulate to prove triangle congruence by showing that two sides and their included angles are congruent.
What is SAS Congruence rule?Side-Angle-Side is the rule used to prove whether a given set of triangles are congruent. The SAS rule states: Triangles are congruent if two sides and an included angle of a triangle are equal to two sides and an included angle of another triangle. An included angle is the angle formed by two given sides.. For example : let's us consider two triangles ∆SQR and ∆TSR ,
In above given figure, sides
RS = RS ( common side)
QS = ST ( S divides QT in two equal parts) and angle between QS and SR equal to angle between SR and ST i.e. ∠QSR = ∠RST = 90° (right angle ) and it is included angle . So, by SAS Congruence rule, both of triangles are congruent. Hence, Δ ABC ≅ Δ PQR.
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What is the inverse calculator?
The inverse calculator is a function calculator which finds the inverse of the given function.
What is the inverse function calculator?Any function can have its inverse value computed using an inverse function calculator. Recall that an inverse function is one that can make another function do the opposite. Another name for it is an anti-function.
It is denoted as:
f(x) = y ⇔ f⁻¹(y) = x
Any function's inverse can be found by first substituting the other variable for the function and then solving for the other variable by substituting each other.
This online calculator for finding the inverse function is very simple to use. To find the inverse of any function, follow the directions below.
Step 1: Type any function into the input field, which is located across the sentence "The inverse function of."
Step 2: Press the "Submit" button located at the calculator's base.
Step 3: A different window will open in which the supplied function's inverse will be calculated.
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Write the equation 3x+2y=8 in general form
Answer:
Step-by-step explanation:
hfhgfvbbkgb 56789+7567t+2345
y-mx+b
y=-3/2x+4
m- -3/2
b-4
y=-3/2x+4
Question In picture
this was an accident how do I delete?
SV≅SW, WX≅UV, RX≅TU, and RS≅ST. Complete the proof that △RVX≅△TWU.
The reasons and statements that completes the two-column table method used to prove that triangle ΔRVX is congruent to ΔTWU (ΔRVX ≅ ΔTWU) are as follows;
Statement [tex]{}[/tex] Reason
12. UW = VX [tex]{}[/tex] Transitive Property of Equality
13. ΔRVX ≅ ΔTWU [tex]{}[/tex] SSS
What are congruent triangles?Two triangles are congruent if the lengths of the three sides of one triangle are the same as the lengths of the three sides of the other triangle.
The details and reasons for the statements used to prove the congruency of the ΔRVX and ΔTWU are as follows;
RV = RS + SV; Additive property of length
The additive property of length states that a point B can be located on a segment AC only if, we get; AC = AB + BC
RV = ST + SW Substitution
The substitution property states that if a = b then a can substitute b in equations and expressions, such that the values of the expressions and equations remain the same.
RV = TW Transitive Property of Equality
The transitive property of equality states that if a = b and b = c, then a = c
ΔRVX ≅ ΔTWU SSS
The SSS (Side-Side-Side) congruency postulate states that two triangles are congruent if the lengths of all three sides of one triangle are congruent to the lengths of the sides of the other triangle.
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What number is 10 more than 37?
10 more than 37 will be Addition of 10 and 37 which is supposed to be 10 plus 37 = 47.
Addition is the process of combining items and counting them as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms addends and total both refer to the numbers that are added and the result of the operation.
The SUM is the result or conclusion that results from adding two or more integers. Addends are the numbers that are added.
We simply changed "more than" to "plus" and found the answer to the straightforward math issue. It is equivalent to 10 + 37 to add 10 to 37. Therefore, the answer is 47 once more.
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How do you know if a triangle is SSS or SAS?
For linear function `f`,`f(2)=0` and `f(4)=-6`. Write function `f` in slope-intercept form.
Answer:
y = -3x + 6
Step-by-step explanation:
According to the information given, your two points are (2, 0) and (4, -6).
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(-6 - 0) / (4 - 2)
Simplify the parentheses.
= (-6) / (2)
Simplify the fraction.
-6/2
= -3
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -3x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (4, -6). Plug in the x and y values into the x and y of the standard equation.
-6 = -3(4) + b
To find b, multiply the slope and the input of x(4)
-6 = -12 + b
Now, add 12 to both sides to isolate b.
6 = b
Plug this into your standard equation.
y = -3x + 6
This is your equation.
Check this by plugging in the other point you have not checked yet (2, 0).
y = -3x + 6
0 = -3(2) + 6
0 = -6 + 6
0 = 0
Your equation is correct.
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3. (06.01, 06.04 mc) a rectangle has sides measuring (4x 5) units and (3x 10) units. part a: what is the expression that represents the area of the rectangle? show your work. (4 points) part b: what are the degree and classification of the expression obtained in part a? (3 points) part c: what is the expression that represents the perimeter of the rectangle? show your work. (4 points)?
The expression for area of a rectangle is A = 12x² + 55x + 50, the equation is second degree and the expression for perimeter is P = 14x + 30.
What is an expression?If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.
The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. In order to include terms into an expression, a mathematical operation like reduction, addition, multiplication, or division is used.
As per the given information in the question,
Let the length of rectangle, l = (4x + 5) and,
The width of rectangle, w = (3x + 10)
a.
Use the formula of area of rectangle,
A = wl
A = (3x + 10)(4x +5)
So, the expression will be,
A = 12x² + 55x + 50
b.
The degree of the equation for area is second degree.
c.
Use the formula of perimeter of rectangle,
P = 2(l + w)
P = 2(4x +5 + 3x + 10)
P = 2(7x + 15)
Then, the expression of perimeter will be,
P = 14x + 30
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Is 3x2 5x 9 x2 7x 3 a quadratic equation?
Yes, this equation is a quadratic equation.
What is a quadratic equation?
Quadratic equation are the polynomial equations of degree 2 in one variable of type f(x) = ax² + bx + c = 0 where a, b, c ∈ R and a ≠ 0.
The given equation 3x² + 5x + 9x² + 7x + 3 = 0 can be written as 12x² + 12x +3 = 0, which is a general form of quadratic equation where a = 12, b = 12 and c =3.
Hence, the equation is a quadratic equation.
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William is a window washer and needs to lean his ladder against the house to reach the windows at the top. he sets the ladder 8 feet from the house which is 14 feet tall. what is the minimum length ladder he needs to use to reach the top of the house?
a² + b² + c²
Answer:
Step-by-step explanation:
you will need a 10ft tall ladder
i hope that helped
in the equation 3/4y + 1/2 = 3 1/4, in the fractional coefficient is _______??
The value of y obtained after solving the given equation will be equal to 11/3 or 3 2/3.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given equation in the question,
3/4y + 1/2 = 3 1/4
Firstly, write the equation in a simplified way,
3/4y + 1/2 = 13/4
3/4y = 13/4 - 1/2
3/4y = (13 - 2)/4
3/4y = 11/4
Now, solve the equation for y,
y = (11 × 4)/(4 × 3)
y = 11/3
In mixed fraction form, it can be written as 3 2/3.
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What is the mean of 4 6 8 10 12 14 *?
The mean of the given observation is 9.
What are the mean, median, and example?
The ratio between the total number of observations in a data set and the sum of all observations is known as the mean in statistics. The most frequent number, or the one that happens the most frequently, is known as the mode.
Example: Since the number 2 appears three times, more than any other number, it is the mode of the numbers 4, 2, 4, 3, and 2.
Mean = Sum of all the observations/Number of observations
Mean = 4+6+8+10+12+14/6
Mean = 54/6
Mean = 9
Hence, the mean of the given observation is 9.
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two angles form a linear pair. one angle measure is 36° more than the other. find both angle measures.
The measures of the angles are 72°, and 108°.
What is Angle Sum Property?
The sum of all angles of a triangle is equal to the angle of a straight line i.e. 180°. If we have a triangle ABC, then the Sum of angles A , B, and angle C will be 180 ° and the value of the exterior angle is equal to the sum of two interior opposite angles.
We have,
two angles form a linear pair. one angle measure is 36° more than the other.
If two angles form a linear pair, then the sum of the degree measure of the angles is 180°.
Let x be the measure of the smaller angle.
Then,
36° + x is the measure of the other angle.
So,
36° + x + x = 180°
2x = 180° - 36°
2x = 144°
x = 144°/2
x = 72°
the measure of the smaller angle is x = 72°,
the measure of the other angle is
36° + 72° = 108°
Hence, the measures of the angles are 72°, and 108°.
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Duncan works at a banquet hall and is setting tables for a wedding reception. He starts with a pile of 144 salad plates, and he places 10 salad plates on every table he sets. Write an equation that shows how the number of salad plates remaining, y, depends on the number of tables Duncan sets, x.
The equation that shows the number of plates that is remaining would be = Y = (Total salad plate/X) - 4.
What is a banquet hall?A banquet hall is a building constructed is a way that various celebrations and functions can be held in such a place such as wedding receptions.
The total number of salad plates available = 144
The number of salad plate per every table set = 10
The number of salad plates remaining = y
The number of tables set by Duncan = x.
If 1 table = 10
X tables = 144
make X tables the subject of formula;
X tables = 144/10
X tables = 14 tables (approximately)
But 14 × 10 = 140 salad for the 14 tables
The remaining salad plates is 4 plates.
Y = (Total salad plate/X) - 4
Therefore, the number of salad plates remaining which is 4 depends on the number of tables Duncan sets which is 10.
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How do you find domain and range without graphing calculator?
We can find the domain and range of the function without the help of graphing calculator by the following steps mentioned below.
What are domain and range?The domain of a function is the set of values that we are allowed to enter into our function.
This set consists of the x values for a function like f. (x).
The set of values that a function can accept as input is known as its range.
The function outputs this list of values once we enter an x value.
The domain of a function refers to the set of input values.
These numbers, which stand in for the independent variable, are corresponding to the x-axis value.
The range of a function refers to the set of output values.
These values, which indicate the dependent variable, are corresponding to the y-axis value.
Find a function's domain and range without graphing as follows:
(A) Place y = f(x)
(B) In terms of y, solve the equation y = f(x) for x. Let x = g (y)
(C) Discover the values of y and its domain of f for which the values of x, as determined by x = g(y), are real.
(D) The range of the supplied function is the collection of y values produced in step 3.
Therefore, we can find the domain and range of the function without the help of graphing calculator by the following steps mentioned above.
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What is the correct answer to 2 5 * 4 8 4 ⁄ 5?
The correct answer to the expression is 10.
By using BODMAS rule,
BODMAS stands for Brackets, Orders, Division, Multiplication, Addition, and Subtraction in its entire form. Therefore, in BODMAS, the orders or exponents are given the second choice here (x n ) A method or sequence called the BODMAS rule is used in mathematics to simplify arithmetic expressions with many operators. When there are several operators in an equation, we must first determine the correct sequence in which to solve the equation. The BODMAS rule assists in the solution of this issue.
Given expression,
2+5*4-8/⅘
=2+20- 40/4
= 22-10
= 10
Hence, the correct answer to the expression is 10.
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What are the 4 types of translations in math?
The four fundamental translations or transformations in geometry are translation, reflection, rotation, dilation, and resizing.
How many translations are there in math?For a function graph, four different transformations are feasible (and translation in math is one of them). When we translate, we move a figure in any direction. When we reflect, we turn a figure or a line over. The act of rotating a figure around a point is known as rotation.
In mathematics, a translation merely moves a shape up, down, left, or right without turning it. The image or the translated shapes seem to be the same size as the original shape, proving that they are congruent. Simply said, they have changed their path or directions.
Three types of translation are described in Jakobson's On Linguistic Aspects of Translation (1959, 2000): intralingual (inside one language, such as rewording or paraphrasing), interlingual (between two languages), and intersemiotic (between sign systems).
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