The line segment with the same length then such segments are congruent to each other.
As given in the question,
Let us consider two line segment named AB and PQ .
Length of the line segment AB is equal to 5cm.
Given condition that both the line segment have same length .
It implies length of PQ = 5cm
When two different line segment have same measure they are known as congruent to each other.
It is represented by symbol ' ≅ '
AB ≅ PQ
Therefore, for the two different line having same length represents they are congruent to each other.
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pleade hurry!! A function, f(x), is shown below. It is a shifted graph of y = x². Choose the equation for f(x) that matches the graph shown.
Answer: B. f(x) = (x - 2)^2 - 3
Step-by-step explanation:
the bloch sphere geometric representation of a quantum state is parameterized by two angles and such that . what are the values of the angles and for the state
The range of values for θ and φ is such that they must not repeat in order to cover the entire sphere θ∈[0,π) and φ∈[0,2π).
The Bloch sphere representation, which bears Felix Bloch's name, is the outcome of the foregoing. This illustration is a unit 2-sphere with two mutually placed spheres at the north and south poles. In contrast, quantum bits cover the entire sphere, whereas these are the only conceivable states for the classical bit representation.
(Disclaimer: One could counter that since the classical bit is represented by voltages, the classical bit representation also contains the axis linking the two poles. As a result, the Bloch sphere illustrates that there is substantially more information involved in quantum bits. When the qubit is measured, one of the two poles is what remains. Exactly which pole is determined by the direction the arrow in the Bloch representation points.
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Find the measures of angles 104° and 48°
The angles (6·x + 17)° and (4·x + 23)°, which are same side interior angles, indicates that the measure of the angle (6·x + 17)° is 101°
What are same side interior angles?Same side interior angles are angles formed on the same side of a transversal to two lines and on the interior part of two two lines.
The possible diagram in the question obtained from a similar online question and created with MS Word is attached.
The possible question is to find the measure of the angle with a measure of (6·x + 17)°
From the attached drawing, we get;
Angle 6·x + 17 and angle 4·x + 23 are same side interior angles
Same side interior angles are supplementary, therefore;
6·x + 17 + 4·x + 23 = 180° (definition of supplementary angles)
(10·x + 40)° = 180°
10·x = 180° - 40° = 140°
x = 140° ÷ 10 = 14°
x = 140° ÷ 10 = 14°
x = 14
The measure of the angle (6·x + 17)° is therefore;
(6·x + 17)° = (6 × 14 + 17)° = 101°
The measure of the angle (6·x + 17)° is 101°The possible question is to find the measure of the angle (6·x + 17)°
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Work out the equation of the line shown
below.
Give your answer in the form y = mx + c,
where m and c are integers or fractions in
their simplest forms.
Y
-160-
140-
-120-
-100-
80-
60-
40-
20-
-80 -70 -60 -50 -40 -30 -20 -10 0
-20
--40-
-60
-80-
-100-
120-
-140-
--160-
10 20 30 40 50 60 70 80 x
Answer: y = -3x + 1
Step-by-step explanation: the line crosses the y-axis at (0,1) then c = 1
The points (0,1) and (1,-2) lie on the line then
m = slope = [(-2)-1]÷(1-0) = [-3]÷(1) = -3÷1 = -3
Therefore, the equation of the line is : y = -3x + 1
what is the LCM of 3,6,and 18
Answer: The Least Common Multiple (LCM) of 3, 6, and 18 is 18
Step-by-step explanation:
What are the 5 properties of division?
According to the division property of equality, if both sides of an equation are divided by a common real integer that is not zero, the quotients remain equal.
Commutative property, associative property, distributive property, and identity property are the four number properties. Only the algebraic operations addition, subtraction, multiplication, and division are linked with number characteristics.
The four key terminology used in the division process are dividend, divisor, quotient and remainder. Dividend Divisor = Quotient + Remainder is the formula for dividing two numbers.
Commutative property, associative property, distributive property, and identity property are the four number properties. Only the algebraic operations addition, subtraction, multiplication, and division are linked with number characteristics.
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What is the smallest integer greater than the square root of 44
Answer:
7
Step-by-step explanation:
We need [tex]\sqrt{44} < x[/tex], where x is the unknown integer.
To make this easier, we can square both sides:
44 < [tex]x^{2}[/tex]
To aid here, recall values of low integers squared:
[tex]1^{2}[/tex] = 1, [tex]2^{2}[/tex] = 4, ... [tex]6^{2}[/tex] = 36, [tex]7^{2}[/tex] = 49
7 is the first integer where its square is greater than 44.
Therefore 7 is the first integer greater than the square root of 44.
megan purchased a sweater that costs $34.00. She used a 20% off coupon and had to pay 7% sales tax how much did her purchase cost un total
After the discount and the tax is applied, Megan will pay 29.10 dollars for the sweater.
How much did Megan pay in total?
We know that originally, the sweater costs $34.00, and there is a 20% decrease on that cost and a tax of 7%.
The decrease of 20% is written as a factor (1 - 20%/100%) = (1 - 0.2)
And an increase of 7% is written as a factor (1 + 7%/100%) = (1 + 0.07)
Then the amount that Megan pays for the sweater is:
P = $34.00*(1 - 0.2)*(1 + 0.07)
P = $34.00*(0.8)*(1.07)
P = $29.10
She pays 29.10 dollars for the sweater.
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helppppppppppp meeeeeeeeee
Answer:
maybe 3/2
Step-by-step explanation:
Answer:
Step-by-step explanation: I think the answer is A
9800 workers in Arizona retired in 2010 as compared to 23,430 in 2009. What is the absolute
change in the number of workers that retired?
Some people decide to continue working because they need the money, while others love what they do and can't imagine not doing it anymore or just need to stay busy.
What is absolute change?
Absolute change refers to the simple difference in the indicator over two periods in time, i.e. Relative change expresses the absolute change as a percentage of the value of the indicator in the earlier period, Absolute change refers to the simple difference in the indicator over two periods in time, i.e. Relative change expresses the absolute change as a percentage of the value of the indicator in the earlier period, Absolute change refers to the simple difference in the indicator over two periods in time, i.e. Relative change expresses the absolute change as a percentage of the value of the indicator in the earlier period.To learn more about workers refers to:
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What type of angle is 15?
Answer:Acute Angle
Step-by-step explanation:
How do you find the inverse of a log function on a calculator?
An inverse log is defined as the anti-log of a log function raised to a negative value.
Enter a number and a base into the calculator.
The calculator will display the inverse log of the number and base entered.
The base of the natural log is equal to e=2.71828. The standard base for the log is base 10.
The following formula is used to calculate the inverse log of a number and base.
㏒[tex]b^{-1}[/tex](y) = [tex]b^{y}[/tex]
Where x is the value you are calculating
b is the base
and y is the number to take the log of
To calculate an inverse log, raise the base value to the power of the number being taken in the log.
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Mrs. Wicklund sets a lawn sprinkler to cover part of a circular region. The central angle and radius for the covered part
are shown.
130⁰
25 ft-
To the nearest 10 square feet, what is the area of the 130° part covered by the sprinkler? Enter your answer in the box.
square feet
Answer:
701.25 feet squared
Step-by-step explanation:
when you calculate the total area of the circle it comes to 1963.5ft
360 degrees divided by 130 degrees is 2.8 which means you need to divide the total area by 2.8 and the final answer comes to 701.25 feet squared
What is the quotient of −213 and 3?
−639
−71
71
639
Answer: -71
Step-by-step explanation:
-213/3 = -71
-71 is the quotient.
-213 : 3= - 71
____________________
Find the quotient of 4 7 and 3 5 give your answer as a fraction in its simplest form.
The quotient of 4 7 and 3 5 can be expressed as a fraction as 20/35 which is the simplest form of the fraction. This fraction can be created by dividing the numerator 4 by the denominator 7, and dividing the numerator 3 by the denominator 5, and then combining the two fractions by multiplying the numerators and denominators together.
1. 4/7 ÷ 3/5
2. (4/7) × (5/3)
3. (20/21)
4. 20/35 (simplest form)
The quotient of 4 7 and 3 5 can be expressed as a fraction in its simplest form as 20/35. To calculate this fraction, the first step is to divide the numerator 4 by the denominator 7, and divide the numerator 3 by the denominator 5. This gives two fractions, 4/7 and 3/5. The next step is to combine the two fractions by multiplying the numerators and denominators together. This gives the fraction 20/21. The final step is to simplify the fraction, which can be done by dividing the numerator and denominator by the same number to give 20/35, which is the simplest form of the fraction.
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when researchers observe a correlation between two variables, such as between the amount of time spent studying and test scores, they know that:
When researchers observe a correlation between two variables, they know that there is a relationship between these variables but they do not know if one variable is causing the other.
Correlation is a statistical measure that indicates the strength and direction of a linear relationship between two variables. It ranges from -1 to 1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and 1 indicating a perfect positive correlation.
A correlation between two variables, such as time spent studying and test scores, suggests that there is a relationship between these variables, but it does not indicate causality.
There could be other variables that influence both of these variables, or the relationship between them could be spurious.
Therefore, researchers must conduct further investigation to determine the cause-and-effect relationship. Researchers might use experimental designs to control for other variables and establish causality.
Additionally, researchers might use other statistical techniques, such as regression analysis, to further explore the relationship between variables.
In conclusion, when researchers observe a correlation between two variables, such as between the amount of time spent studying and test scores, they know that there is a relationship between these variables but they do not know if one variable is causing the other.
To establish causality, researchers must conduct a further investigation using experimental designs and other statistical techniques.
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Demonstrate at least two different ways how to solve the equation 5(2x-1)=25
Answer:
divided both sides by the numeric factor on the left then solve x = 3
Step-by-step explanation:
Which of the following equations represents a quadratic function?
a. y = 3 + 2x^2
b. 2y^2 + 3
C. Y = 3X -2^2
d. y = 2^X - 3
the manager of a furniture factory finds that it costs $2600 to manufacture 90 chairs in one day and $4800 to produce 290 chairs in one day. (a) express the cost c (in dollars) as a function of the number of chairs x produced, assuming that it is linear.
The expression of the total cost as a function of the number of chairs produced (x) is: C(x) = 1,610 + 11 x
The production cost comprises two components: fixed cost and variable cost.
Let:
F = fixed cost
p = variable cost per unit chair
x = number of chairs produced.
C(x) = total cost
Hence,
C(x) = F + p . x
2600 = F + 90 p .... (equation 1)
4800 = F + 290 p .... (equation 2)
Subtract those questions:
4800 = F + 290 p
2600 = F + 90 p _
2200 = 200 p
p = 11
Substitute p = 1 into equation 1:
2600 = F + 90 x 11
F = 2600 - 990 = 1,610
Thus, the expression for the total cost is:
C(x) = 1,610 + 11 x
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The population of a city increased to 705600 in 2017 at the rate 5% per annum. (a) find the population in 2015.
(b) find the population in 2019.
a) Population of city in 2015 = 640000
b) Population of city in 2019 = 777924
What is population growth?Population-growth happens when an initial population increases by the same percentage or factor over equal time increments or generations.
Given,
Population of city in 2017 (P) = 705600
Rate per annum r = 5% = 0.05
a) Population of city in 2015 (p) = ?
Time difference 2015 and 2017 = 2 years
Population of city in 2017
P = p(1 + r)ⁿ
705600 = p(1 + 0.05)²
p = 705600/1.05²
p = 705600/1.1025
p = 640000
b) Population of city in 2019 = ?
Time difference 2017 and 2019 n = 2 years
Population of city in 2019
= P(1 + r)ⁿ
= 705600(1+0.05)²
= 705600(1.05)²
= 705600 × 1.1025
= 777924
Hence, 640000 is population of city in 2015.
777924 is population of city in 2019
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Misty Gonzalez receives her paycheck weekly. She earns a
straight commission of 4% on sales of $5,000 or less and 5% on sales in
excess of $5,000. One week Misty had a gross pay of $462. What was that
week's total sales amount?
I figured out number one and had help with number two, could someone help me out with number three and four please?
the explanation is on the paper. Please explain your answer.
Your help is very much appreciated.
✓
3. x⁶× x × x³ = x⁶+³ = x⁹
x⁹ is not factorable with rational numbers
6+1+3 = 10
x⁶× x × x³ = x¹⁰
———————————✓ ✓
4. 3⁴×2³ = 6⁴+³
6⁴+³ is not factorable with rational numbers
3⁴×2³ = 3³ × 2³ × 3 = (3×2)³ × 3 = 6³ × 3¹
THIS IS THE QUESTION HELP ME FIND THE AREA PLS
The total area of the composite figure is; 94.485 sq.units
How to find the area of the composite shape?The given composite shape is made up of a rectangle and the quadrant of a circle.
Formula for area of rectangle is;
A_r = Length * Width
Thus;
A_r = 8 * 7
A_r = 56 sq.units
The formula for the area of the quadrant of a circle is;
A_quad = ¹/₄πr²
Thus;
A_quad = ¹/₄π * 7²
A_quad = 38.485 sq.units
Total area of composite figure = 56 sq.units + 38.485 sq.units
= 94.485 sq.units
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conjecture for the relationship between the volume of a sphere with a radius that equals to y and the volume of a sphere with a radius equal to 2y
7y³ is the relationship between the volume of a sphere with a radius that equals to y and the volume of a sphere with a radius equal to 2y.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Volume of a sphere is 4/3πr³
the volume of a sphere with a radius that equals to y and the volume of a sphere with a radius equal to 2y
4/3πy³=4/3π(2y)³
4/3πy³=4/3π×8y³
y³=8y³
=(1-8)y³
7y³
Hence, 7y³ is the relationship between the volume of a sphere with a radius that equals to y and the volume of a sphere with a radius equal to 2y.
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What is the slope of the line which passes through the points 3/8 and (- 1 0 )?
The slope of line passing through the points (3, 8) and (-1, 0) is 2.
In the given question, we have to find the slope of the line that passes through the points (3, 8) and (-1, 0).
The point-slope approach is typically used when two points that sit on a specific line are specified.
A line's equation is written as y - y(1) = m(x - x(1)), where y(1) is the Y-axis coordinate, m is the slope, and x(1) is the X-axis coordinate.
m = [tex]\frac{y(2)-y(1)}{x(2)-x(1)}[/tex]
From the given points x(1) = 3, y(1) = 8, x(2) = -1, y(2) = 0.
Now putting the value
m = [tex]\frac{0-8}{-1-3}[/tex]
Now solving
m = [tex]\frac{-8}{-4}[/tex]
m = 2
Hence, the slope of the line passing through the points (3, 8) and (-1, 0) is 2.
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two rays that share the same endpoint and form a line
Two rays that share the same endpoint and form a line are called opposite rays. These rays move in opposite directions.
In mathematics, a ray is defined as a line which has a fixed starting point but does not have an endpoint.
Opposite rays can be defined as two rays which have the same endpoint, forms the line and rays move in the opposite direction to each other.
The line can be defined as the continuous extent of dots without any thickness or breadth. It is endless.
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What is the length of JA’?
The length of JA' after dilated with a scale factor of 1/4 is 4 mm.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Segment JA = 16 mm
Dilated with a scale factor r = 1/4.
This means,
Segment JA'
= 1/4 x 16 mm
= 4 mm
Thus,
The length of JA' is 4 mm.
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What is the ln of 0?
The real natural logarithm function ln(x) is defined only for x>0. So the natural logarithm of zero is undefined.
What has a natural log of 0?Undefined log 0 is. Due to the fact that nothing can ever be raised to the power of zero, the number is not real. Zero is an infinitely big and negative number that can never be reached; instead, it can only be approached.Ln(0) is not possible since anything or any number raised to the power of 0 is equal to one, and you cannot have the power of something being 0. As e to the power 0 is 1, ln(1) equals 0. If e to the power of a number is 0, which never happens, then ln(0) would imply that. So, it is not defined. The idea of infinity can also be used to define log of zero. The log of zero is infinite in this situation, thus we can state.To learn more about natural log of 0 refer to;
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HELP ASAP!!!!! What is the value of the following expression?
[6 • 4 + 50 ÷ (12 + 13) + 2] • 3
The value of the given expression [6 • 4 + 50 ÷ (12 + 13) + 2] • 3 is 84.
Explanation:
To evaluate the given expression, we follow the order of operations (PEMDAS). Let's break it down step by step:
Inside the square brackets, we have 6 • 4 + 50 ÷ (12 + 13) + 2.Next, we evaluate the expression inside the parentheses: 12 + 13 = 25.Now, we substitute the result back into the expression: 6 • 4 + 50 ÷ 25 + 2.Next, we perform the multiplication: 6 • 4 = 24.Then, we perform the division: 50 ÷ 25 = 2.Now, we substitute the results back into the expression: 24 + 2 + 2.Finally, we perform the addition: 24 + 2 + 2 = 28.Now, we multiply the result by 3: 28 • 3 = 84.Therefore, the value of the given expression is 84.
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The number m equals-
The number b equals-
Therefore , the solution of the given problem of slope comes out to be
m =-1/5 and b =5 units.
Slope explanation.The slope of a line determines how steep it is. A characteristic of a color filter equation is a gradient overflow. The horizontal distance disparities (run) between two points are divided by the average vertical differences (rise) between the exact two points to determine the slope. The equation y = mx + b, which is known as the hill type equation, is used to express the fixed path issue. If grading is m, a = b, and the line's y-intercept is located there (0, b).
Here,
Given :
From the given graph we get
Points(0,5) and (1,0)
So,
Slope m = 1-0 /0-5
=> m= -1/5
and
For b
=> b = 5 units.
Therefore , the solution of the given problem of slope comes out to be
m =-1/5 and b =5 units.
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