A mirror is a surface that virtually always reflects the incident light that strikes it. Both flat and curved surfaces are possible for mirrors. The terms "plane mirror" and "spherical mirror" are used to describe mirrors with flat surfaces and curved surfaces, respectively.
An image is either produced in real time or virtually in a mirror, which is a reflecting surface that reflects light. An object's reflection may be seen in a mirror when it is positioned in front of one. The incident rays are coming from the item, and the reflected rays are what create the image. The classification of the pictures as real or virtual depends on where the light beams cross. Real images happen when light rays truly cross, but virtual images happen when rays of light from a point appear to diverge.
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If JK=27JK=27, KI=20KI=20, JI=24JI=24, NL=42NL=42, and ML=50.4ML=50.4, find the perimeter of \triangle LMN△LMN. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
Answer:
so basically all you have to do is round.
Step-by-step explanation:
lines AB and BC are perpendicular. the dashed rays bisect angles ABD and CBD. explain why the measure of angle EBF is 45 degrees.
Angle EBF is 45 degrees because angle ABC is 90 degrees and line D divides each side into two equal parts.
How to determine angles?Given that lines AB and BC are parallel. Angles ABD and CBD are bisected by the dashed rays. Angle EBF is measured at 45 degrees because angle ABC is 90 degrees, line D divides each side into two equal parts, and half of 90 degrees is 45 degrees.
As a result, the angle EBF is 45 degrees because angle ABC is 90 degrees and line D divides each side into two equal parts, and half of 90 degrees is 45 degrees.
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How do I solve (3.4) (6.7) using standard algorithm?
To solve the equation (3.4)(6.7) using the standard algorithm, first multiply 3.4 and 6.7. Then, the result is 22.78.
How to solve for the standard algorithm?The standard algorithm for multiplication is a step-by-step process that involves breaking down the numbers being multiplied into simpler parts, and then multiplying those parts together.
First, you would need to multiply the ones place of the first number (4) by the ones place of the second number (7), which would give you 28.
Next, you would need to multiply the ones place of the first number (4) by the tens place of the second number (6), which would give you 24.
Then, you would add the two products from steps 1 and 2 to get the result: 28 + 24 = 52.
Alternatively, you can use the distributive property of multiplication to simplify the problem.
(3.4)(6.7) = 3.46 + 3.40.7 = 22.8
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Periodical Express is a newspaper printing company. They printed 450 copies of The Informer in just 15 seconds! They next need to print 300 copies of the Sport Report.
If they print at the same rate, how many seconds will it take to print the Sport Report?
Answer: To find out how many seconds it will take to print 300 copies of the Sport Report, we can use the formula:
time = (number of copies) / (rate of printing)
We know that the rate of printing for The Informer is 450 copies in 15 seconds. To find the rate of printing per second, we can divide the number of copies by the time in seconds:
rate of printing = 450 / 15 = 30 copies per second
So to find out how long it will take to print 300 copies of the Sport Report, we can use this rate of printing and plug it into the time formula:
time = (number of copies) / (rate of printing)
time = 300 / 30
time = 10 seconds
Therefore, it will take 10 seconds to print 300 copies of the Sport Report at the same rate as The Informer.
Step-by-step explanation:
In 1967 a pair of slacks sold for $8.00. Ten years later, the price increased by 65%. How much more did a pair of slacks sell for ten years later?
Which point is the reflection of (- 3 2 over the y-axis?
The reflection of (-3, 2) over the y-axis is (-3, -2).
The reflection of a point (x, y) over the y-axis is (x, -y).
Therefore, the reflection of (-3, 2) over the y-axis is (-3, -2).
To calculate the reflection of (-3, 2) over the y-axis, we first use the formula (x, -y).
In this case, x = -3 and y = 2, so the reflection of (-3, 2) over the y-axis is (-3, -2).
We can also calculate the reflection of (-3, 2) over the y-axis using the distance formula.
The distance formula is d = √(x2-x1)2 + (y2-y1)2
In this case, x1 = -3, x2 = 0, y1 = 2, and y2 = 0.
Therefore, the distance d = √(02-(-3)2 + (02-2)2 = √(9 + 4) = √13
The reflection of (-3, 2) over the y-axis is (-3, -2). This can be verified using the distance formula.
d = √(x2-x1)2 + (y2-y1)2 = √(-3-0)2 + (-2-0)2 = √(9+4) = √13
The distance d is equal to the distance between (-3, 2) and (-3, -2). Hence, the reflection of (-3, 2) over the y-axis is (-3, -2).
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what is 999,999,999 x 600277798128
Answer:
6.000277798 x 10^20
Andrew is going to invest in an account paying an interest rate of 2.2% compounded quarterly. How much would Andrew need to invest, to the nearest hundred dollars, for the value of the account to reach $93,000 in 19 years?
Andrew would need to invest $61,300 for the account to reach $93,000.
What is Compound Interest?Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.
The equation to find final amount in compound interest is,
A = P (1 + r/n)^(n t)
Here A is the final amount, P is the initial amount, r is the rate of interest, n is the number of times compounding is done in a year, t is the time in years.
Given, A = $93,000
t = 19 years
r = 2.2% = 0.022
n = 4 (since compounding is quarterly)
93,000 = P [1 + (0.022/4)]^(4×19)
93,000 = P [1.0055]^(76)
93,000 = P (1.517)
P = 61,297.8516
To the nearest hundred dollars, P = $61,300
Hence the principal amount Andrew need to invest is $61,300.
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Chad bought a box of donut hole that contain 60% glazed and the ret powdered ugar. The box ha 12 powdered ugar donut hole. How many glazed donut hole are in the box Chad bought?
The box has 18 glazed donut hole that Chad bought.
The percentage of glazed donut holes = 60%
The percentage of powdered sugar donut hole = (100 - 60) % = 40%
Let us consider the total number of donut hole in the box bought by Chad to be 'x'
Number of powdered sugar donut hole = 12
Hence, we can say that the number of powdered sugar donut hole in the box Chad bought is:
(40% of x) = 12
Therefore, x = (12 x 100) / 40 = 30
Since the total number of donut hole in the box = 30
The number of glazed donut hole = 30 - 12 = 18
Thus, the box that Chad bought had 18 glazed donut hole.
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The table shows the ingredients, in cup, that Renee used in her smoothie
Mixed berries
2 1/2
Yogurt
1 1/3
Milk
1 1/4
What is an example of inequality math?
Answer: 5x − 4 > 2x + 3
Step-by-step explanation:
The expression 5x − 4 > 2x + 3 looks like an equation but with the equals sign replaced by an arrowhead. It is an example of an inequality. This denotes that the part on the left, 5x − 4, is greater than the part on the right, 2x + 3.
A company ha two manufacturing plant with daily production level of 5x 14 item and 3x - 5 item, repectively. The firt plant produce how many more item daily than the econd plant?
As per the given equation, the first plant is produce 2x+21 more items than second plant.
The term equation is known as a mathematical statement that shows that two mathematical expressions are equal.
Here we have given that the first plant produces 5x+14 items daily
And the second plant produces 3x-7 items daily
In order to find the number of items produced on first plant, then we have to calculate the differences between number of items by the two plants daily, then it can be written as by using the equations,
=> (5x+14) - (3x-7)
Now, we have to expand the equations, then we get
=> 5x+14 - 3x+7
=> 2x+21
Therefore, first plant produces 2x+21 more items daily than the second plant.
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TEST RN What is the equation of the line that passes through the point (6.0) and had a slope of -5/6? HELPP PLEASE TEST RN
An equation of the line that passes through the point (6, 0) and had a slope of -5/6 is y = -5x/6 + 5.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.Given the following parameters:
Point (x, y) = (6, 0)Slope = -5/6Substituting the given parameters into the point-slope formula, the equation of the line is given by;
y - y₁ = m(x - x₁)
y - 0 = -5/6(x - 6)
y = -5x/6 + 5
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there are two drama groups in school one group were 36 boys and 48 girls in the other 3/7 of students are boys others girls
ann says "the ratio of the number of boys to the number of girls is the same for both groups"
is ann correct
Answer:
UMMMM Wait IM sorry What grade are you in? I'm in fifth.
Step-by-step explanation:
Cómo resolver esta factorizacion
Therefore , the solution of the given problem of factorization comes out to be x=0 and x=1/3.
What is factorization, exactly?The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.
Here,
Given:
thus . We do factorization of given expression and
we come on a result
=> 3x - 9x²
=> 3x (1 -3x)
x=0 and x=1/3
Therefore , the solution of the given problem of factorization comes out to be x=0 and x=1/3.
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Please help! Please! Thank you! :) 30+ points
Answer:
x=6 z=73
Step-by-step explanation:
9x+53=6x+71
3x+53=71
3x=18
x=6
9(6)+53
54+53
107
107+z=180
z=73
A group of researchers investigated the effect of media usage (whether or not subjects watch television or use the Internet) in the bedroom on "Tiredness" during the day (measured on a 50 point scale
a. Identify each of the variables, state whether the variables are quantitative or categorical, and identify each variable as either explanatory or response variables. nterviewed
b. To collect these data, the researchers randomly selected homes to visit and i the adult member of the household whose birthday was nearest. Is this an experiment or an observational study? Briefly explain.
YES, This is an observational study.
The variables in this study are:
Media usage: categorical (explanatory variable)
Tiredness: quantitative (response variable)
This is an observational study. The researchers are observing and measuring the relationship between media usage and tiredness, but they are not manipulating or controlling any variables. They are collecting data by randomly selecting homes to visit and interviewing the adult member of the household whose birthday was nearest.
An observational study draws conclusions from a sample of a population in disciplines like epidemiology, social sciences, psychology, and statistics when the independent variable is not under the researcher's control due to ethical considerations or practical limitations. One typical observational study examines how a therapy may affect its participants, but the researcher has no control over which group the subjects are assigned to—the treated group or the control group. Unlike experiments like randomized controlled trials, when each subject is arbitrarily assigned to either a treated group or a control group, this does not happen. Observational studies naturally create challenges for inferential analysis because they lack an assignment mechanism.
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How do you solve y =- 2x 2?
The slope is 2 using the slope-intercept form. As the slope of the line in slope-intercept form is the coefficient of x, the slope of the line is -2.
what is slope ?The slope of a line governs its steepness. Using mathematics, the gradient is expressed as "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical (rise) to the horizontal (run) change in distance between any two sites. Every time the equation for a straight line is written as y = mx + b, the slope-intercept representation of the equation is utilized. At the location of the y-intercept, the line has a slope of m, b, and c. (0, b). As an example, the y-intercept of the equation y = 3x - 7 has a value of 3. (0, 7).
given
The slope is 2 using the slope-intercept form.
As the slope of the line in slope-intercept form is the coefficient of x, the slope of the line is -2.
Divide the difference in elevation between two points by the distance between them, multiply the result by 100, and that is the percent slope. The term "rise" refers to the elevational difference between two places. The run is the distance separating the points. The formula for percent slope is (rise / run) x 100.
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Three times the measure of a supplement of an angle is 8 times the measure of a complement of the angle. Find the measure of the angle .
Answer:
3x of 180=8x of 90
Use this equation
please help! Which equation could you use to find the original amount of ounces of rice in a box, when the current box holds 85 ounces, 25% less rice.
The equation which is use to find the original amount of ounces of rice in a box, when the current box holds 85 ounces, 25% less rice is
y = 0.25*85.
What is percentage?
A number or ratio expressed as a fraction of 100 is known as a percentage in mathematics. Though the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent sign, "%," is frequently used to indicate it. An amount that is a percentage is dimensionless and has no assigned measurement.
Given:
The current box holds 85 ounces, 25% less rice.
We have to find the equation which is use to find the original amount of ounces of rice in a box, when the current box holds 85 ounces, 25% less rice.
Let, y be the original amount of ounces of rice in a box.
The current box holds 85 ounces.
The 25% less than 85 ounces are 85*0.25.
So, the equation becomes y = 0.25*85.
Hence, the equation which is use to find the original amount of ounces of rice in a box, when the current box holds 85 ounces, 25% less rice is
y = 0.25*85.
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HELP NOW PLS (100 POINTS)
The function f(x) = 20x + 80 represents the distance in miles a drone flew.
The function g(x) = x + 2 represents the time the drone flew in hours.
Part A: Find f(2) and g(2). Show your work. (2 points)
Part B: Find f divided by g of 2. Show your work. (2 points)
Part C: What is the domain of f divided by g of x? (2 points)
Answer:
A) f(2) = 120, g(2) = 4.
B) f'(x) = 5x + 20
C) R - {-2}.
Step-by-step explanation:
A) Just apply given value and resolve:
[tex]f(2) = 20 \times 2 + 80 = 40 + 80 = 120 \\ g(2) = 2 + 2 = 4[/tex]
B) g(2) is 4, so just divide f(x) by 4:
[tex] \frac{1}{4} f(x) = \frac{1}{4} (20x + 80) = \frac{20}{4} x + \frac{80}{4} = 5x + 20[/tex]
C)
[tex] \frac{f(x)}{g(x)} = \frac{20x + 80}{x + 2} [/tex]
Polynomials have full domain. A Quotient of polynomials is defined when denominator is not zero. In this sample, denominator is zero when x = -2, so -2 is not part of the domain. All other real numbers are part, hence R - {2}.
1. The value of F(2) = 120 and g(2) = 4.
2. The division is 5(x+4)
3. The domain is real number except -2.
What is Function?In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
The function f(x) = 20x + 80 represents the distance in miles a drone flew.
The function g(x) = x + 2 represents the time the drone flew in hours.
1. F(2)= 20(2)+ 80= 40+ 80= 120
and, g(2)= 2 + 2 = 4
2. The division is
= F(x) / g(2)
= (20x + 80)/ (2+2)
= 20 (x+4) / 4
= 5 (x+4)
3. The domain of F(x) / g(x) is all real number except -2.
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I need help only have 2 hours left
Answer:
[tex]\begin{array}{|c|c|c|c|c|c|}\cline{1-6} \vphantom{\dfrac12} x&-4&1&2&3&6 \\\cline{1-6} \vphantom{\dfrac12} f(x)&-20&5&10&15&30 \\\cline{1-6}\end{array}[/tex]
Step-by-step explanation:
Given function:
[tex]f(x)=5x[/tex]
To complete the function table, substitute each given value of x into the given function:
[tex]x=-4 \implies f(-4)=5(-4)=-20[/tex]
[tex]x=1 \implies f(1)=5(1)=5[/tex]
[tex]x=2 \implies f(2)=5(2)=10[/tex]
[tex]x=3 \implies f(3)=5(3)=15[/tex]
[tex]x=6 \implies f(6)=5(6)=30[/tex]
Completed table:
[tex]\begin{array}{|c|c|c|c|c|c|}\cline{1-6} \vphantom{\dfrac12} x&-4&1&2&3&6 \\\cline{1-6} \vphantom{\dfrac12} f(x)&-20&5&10&15&30 \\\cline{1-6}\end{array}[/tex]
Peter has 18 dimes. He uses 12 dimes to buy a drink. The number of dimes he has left is one-half the number of Pennie’s he has. How many Pennie’s does Peter have? *Put this in a 5th grade understanding*
18-12=6, peter now has 6 dimes left after buying a drink. Since the number he has left is ONE HALF of the number of pennies he has. 6x2=12.
peter has 12 pennies. hoped that helped
Answer the following questions. Make sure to show all your work. 1. When is it best to solve a system of equations using graphing? 2. When is it best to solve a system of equations using substitution? 3. When it is best to solve a system of equations using elimination? When it is 4. Solve the following system of equations graphically. y=3x+4 y=-2x-5
What is dilation in math example?
The meaning of Dilation is changing the size of an object without changing its shape. The size of the object may be decreased or increased based on the scale factor.
One example of dilation math is a square of side 5 units can be dilated to a square of side 25 units, but the shape of the square remains the same.
Dilation is the method of resizing or transforming an object. It is a transformation that makes the objects larger or smaller with the help of the given scale factor.
The new figure get after dilation is called the image and the real image is called the pre-image. Dilation can be of two types:
1. Expansion - It happens when the size of an object is increased.
2. Contraction - it happens when the size of an object is decreased.
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8. What is the converse of this
statement?
If Sarah keeps practicing gymnastics,
she will win a medal.
Answer:
Step-by-step explanation:
Sara will win a medal if she keeps practicing gymnastics.
The LCM of two numbers is 18. One of the numbers is 9. The other number is less than 9. What could the other number be? Show your work.
Answer:6
Step-by-step explanation: 6,12,18
9,18
Is x² a quadratic equation?
Answer: No, x^2 is not a quadratic equation. It is a monomial equation. A quadratic equation has the form ax^2 + bx + c = 0, where a, b, and c are constants.
Step-by-step explanation:
Show two
different ways to find the answer to the problem below.
Dog and cat food are sold in 20-pound bags. There are 14 bags of dog food and 12 bags of cat food on the store shelves. How many pounds of dog and cat food are on the shelves?
Answer: There are 520 pounds of dog and cat food
Step-by-step explanation:
1. 14+12= 26
2. 26x20=520
Solve for y.
y−58.8=62
Enter your answer in the box.
y =
Answer:
y = 120.8
Step-by-step explanation:
y − 58.8 = 62
Add 58.8 to both sides
y = 120.8
Let's check
120.8 - 58.8 = 62
62 = 62
So, y = 120.8 is the correct answer.
Answer:y= 120.8 I hope this helps
Step-by-step explanation:
y-58.8=62
Move the constant to the right-hand side and change its sign
Like this
Y=62+58.8
Then Add the numbers 62 and 58.8
Which will give you
Plus bring down your y
Your answer is y=120.8