A graph is inverse if it is the reflection of the original graph across the line y = x.
Meaning, if you were to put a mirror along the line y = x, the original graph would be reflected onto the inverse graph.
To determine if a graph is the inverse of another graph, we can check the following:
If the original graph is a function (i.e., each x-value corresponds to only one y-value), then the inverse graph will also be a function.The x- and y-coordinates of the points on the original graph. They will be the y- and x-coordinates of the corresponding points on the inverse graph, respectively.The slopes of the lines in the original graph and the inverse graph will be the multiplicative inverse of each other.If the original graph and its inverse graph are symmetric about the line y = x.It is important to note that not every function has an inverse function. The function needs to be one-to-one, which means that for every unique output, there must be a unique input.
In summary, a graph is the inverse of another graph if the x- and y-coordinates of the points on the original graph are the y- and x-coordinates of the corresponding points on the inverse graph, respectively and the graph is symmetric about the line y = x.
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A sum of ` 4000 is to be used to give 10 cash prizes to students
of a school, for their overall academic performance. If each
prize is ` 50 less than its preceding prize, find the value of each
prize.
The value of each prize based on the information is 625.
How to calculate the value?From the information, the sum of 4000 is to be used to give 10 cash prizes to students of a school, for their overall academic performance and each prize is 50 less than its preceding prize.
Based on the information, the following can be deduced:
a = first term = unknown
n = 10
d = common difference = -50
This will be slotted into the arithmetic sum as:
n/2 [2a + (n - 1)d]
10/2[2a + (9 × -50)] = 4000
a = (4000 + 2250) / 10
a = 625
The value is 625.
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solve for A
-5|6a+21|=15
To solve for A, we need to first understand the absolute value symbol in the equation. The absolute value of a number is the non-negative value of that number, so |6a+21| = 6a+21 for all values of a.
What does a math equation mean?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
So, we can rewrite the equation:
-5(6a+21) = 15
Then we can distribute the -5 on the left side:
-30a - 105 = 15
We can then add 105 to both sides to get:
-30a = 120
Then we can divide both sides by -30 to get:
a = -4
So, the solution for A is -4.
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The diagram shows a square pizza box with side lengths of
18 inches. In the box is a circular pizza with a radius of 8
inches. What is the difference between the area of box and
the pizza?
Use π = 3.14 and round your answer to the nearest
hundredth.
Please help
Answer: The area of the square pizza box is 324 square inches.
Step-by-step explanation:
The area of the square pizza box is 18 inches x 18 inches = 324 square inches. The area of the circular pizza is π x (8 inches)^2 = 201.06 square inches. The difference between the area of the box and the pizza is 324 square inches - 201.06 square inches = 122.94 square inches. (rounded to the nearest hundredth).
I have always been curious about this question.
What is 2+2 ???
Is it 22 or 4
Answer:
Step-by-step explanation:
both >:D
Answer: 4
Step-by-step explanation:
1. Hold up two fingers on both hands.
2. Then you count how many fingers are up on both hands.
3. Then you put your answer on your paper
4. Last is you turn it in
PLEASE HELP I NEED ANSWER AND STEPS TO THIS
The measure of angle E in the triangle is 60°
What is an equation?An equation shows the relationship between numbers and variables in an expression.
From the diagram:
∠ABE + ∠EBC = 180° (sum of angles in a straight line)
120 + ∠EBC = 180
∠EBC = 60°
∠EBC = ∠ECB = 60° (isosceles triangles have equal base angles)
∠EBC + ∠ECB + ∠BEC = 180° (sum of angles in triangle)
∠BEC + 60 + 60 = 180
∠BEC = 60°
Angle E is 60°
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Kim has 0.2 of a book left to read. She plans to read the same amount of the book each day for 5 days. How much of the book will she read each day? (easy 5th grade question)
KIm read 0.04 parts of the book per day for a span of 5 days to complete the book.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: Kim has 0.2 of a book left to read. She plans to read the same amount of the book each day for 5 days.
Kim reads the remaining part of the book in 5 days
Thus in 5 days she reads 0.2 parts of the book
Then in 1 day she would read 0.2/5=0.04 parts of the book
Hence, KIm read 0.04 parts of the book per day for a span of 5 days to complete the book.
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What is a common way to remember the definitions of the trig ratios
The SOH-CAH-TOA is an easy way to remember trig ratios.
What are trigonometric ratios?
The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle.
SOH-CAH-TOA: an easy way to remember trig ratios
The word sohcahtoa helps us remember the definitions of sine, cosine, and tangent. Here's how it works:
SOH, Sine is opposite over Hypotenuse sin(A) = opposite/hypotenuse
CAH, Cosine is Adjacent over Hypotenuse cos(A) = Adjacent/hypotenuse
TOA, Tangent is opposite over Adjacent tan(A) = Opposite/Adjacent
For example, if we want to recall the definition of the sine, we reference
SOHS, since sine starts with the letter S. The O and the H help us to remember that sine is opposite over hypotenuse.
Hence, the SOH-CAH-TOA is an easy way to remember trig ratios.
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Helppppppp ASAP please
Answer:
By the Parallelogram Consecutive Angles Theorem, ∠NQL is supplementary to ∠QNM
Step-by-step explanation:
By the Parallelogram Consecutive Angles Theorem, ∠NQL is supplementary to ∠QNM
This means m∠NQL + m∠QNM = 180
80 + m∠QNM = 180
m∠QNM = 180 - 80 = 100
By the Parallelogram Consecutive Angles Theorem, ∠NQL is supplementary to ∠QNM
which theorem is used in this parallelogram?
By the Parallelogram Consecutive Angles Theorem, ∠NQL is supplementary to ∠QNM
This means m∠NQL + m∠QNM = 180
80 + m∠QNM = 180
m∠QNM = 180 - 80 = 100
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parabolic cylinder Definition
In mathematics, especially in analytical geometry, a parabolic cylinder is a three – dimensional quadratic surface (or a quadric surface) given by the equation {{x}^{2}}+2ay=0x 2
+2ay=0. In other words, a parabolic cylinder is a cylinder having a parabola as its directrix. Thus, it is a developable quadric surface. However, not all cylinders are quadric surfaces.
A parabolic cylinder is a three-dimensional surface that is defined by a specific equation in the form of {{x}^{2}}+2ay=0.
It is considered a special type of quadric surface, which is a general term used to describe a wide range of surfaces that can be defined by a quadratic equation. Quadric surfaces include conic sections (such as circles, ellipses, and parabolas), cylinders, and hyperboloids, among others.
The key characteristic of a parabolic cylinder is that it is a cylinder with a parabola as its directrix. The directrix of a parabolic surface is a line that the parabola is symmetric about. In the case of a parabolic cylinder, the parabola is the cross-section of the cylinder, which means that if you were to slice the cylinder perpendicular to its axis, you would get a parabolic shape.
--The question is incomplete, answering to the question below--
"Define parabolic cylinder."
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the radius of a car is 13 inchines. how many revolutions per minute is the wheel making when the car is traveling 40 mph
The wheel is making approximately 31028 revolutions per minute when the car is traveling 40 mph.
To calculate the revolutions per minute (RPM) of the wheel when the car is traveling 40 mph, we need to use the equation:
RPM = (Speed) / (Circumference)
First, we need to determine the circumference of the wheel. The circumference is equal to 2 × pi × radius.
Circumference = 2 × pi × 13 inches = 81.68 inches
Now we can use this value to calculate the RPM:
RPM = (40 mph) / (81.68 inches)
To convert the speed from mph to inches per hour, we multiply by the number of inches in a mile (63360 inches)
RPM = (40*63360 inches/hour) / (81.68 inches)
RPM = 31028.40353
Therefore, the wheel is making approximately 31028 revolutions per minute.
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25. if only the positive integers from 1 through 49, inclusive, are written on a piece of paper, what is the sum of all the digits that are written on the paper?
The sum of all the digits that are written on the paper is 625.
The numbers from 1 to 49 inclusive can be represented as a list of digits from 1 to 49. To find the sum of all the digits, we can use the formula for the sum of the first n natural numbers.
In this case, 49 is the n-th natural number, so the sum of all the digits is n(n+1)/2. The sum of the digits of the numbers between 1 and 49 is 49(50)/2 = 1225.
We can also find the sum of digits by adding up the digits of the numbers from 1 to 49 one by one, we can see that every number from 1 to 49 has at least one digit and a maximum of two digits.
The numbers from 1 to 9 have one digit, and numbers from 10 to 49 have two digits. To find the sum of the digits, we will add all the digits of the numbers from 1 to 49.
The digits of the numbers between 1 and 9 are 1, 2, 3, 4, 5, 6, 7, 8, 9, and the digits of the numbers between 10 and 49 are 1, 2, 3, 4, 5, 6, 7, 8, 9.
The sum of the digits of the numbers between 1 and 49 is 1+2+3+4+5+6+7+8+9+1+2+3+4+5+6+7+8+9 = 90.
In conclusion, the sum of all the digits that are written on the paper is 625, this can be found by adding up the digits from 1 to 49, every number from 1 to 49 has at least one digit and a maximum of two digits, the numbers from 1 to 9 have one digit and numbers from 10 to 49 have two digits.
The sum of the digits of the numbers between 1 and 49 is 90, this can be found by adding 1+2+3+4+5+6+7+8+9+1+2+3+4+5+6+7+8+9.
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a ton is defined as 2000.0 lbs and 1.00 kilograms is approximately 2.2 lbs. how many grams are in 1.00 tons?
1.00 tons is 907185 grams.
1kilogram-2.20462 lbs -------1
1 ton= 2000lbs -------2
from 1 and 2
1 ton = 2000/2.2 kilogram
2000lbs =909.09 kilogram
∴1 ton= 909.09 kilogram
Now 1 Kilogram =1000gram
so, 909.09 kilogram= 1000x909.09
=907185 grams.
Therefore, 1.00 tons is equivalent to 907185 grams.
Ton is one of the several units of measurement along with pounds, kilograms, and grams for weight measurement. Pounds is denoted by lbs. Ton is of three types:
short ton- It is equivalent to 2240lbs. It is widely used in the USAlong ton- It is equivalent to 2000lbs. It is widely used in the UKtonne- This is equivalent to 2,204.6226 lbs or 1000 kilograms.To know more about weight measurement visit:
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Please help me on this
Answer:
D. I, II, III, and IV
Step-by-step explanation:
When looking at a parallelogram you know that Q'R'S'T' is 2/3 the size of QRST.
Due to this you know that the length of QR is 2/3 of Q'R'
Due to the image you also know that R' and T' are the same angle, and since angles do not change size like side lengths, you know that angles R' T' and R and T are all equivalent
That guarantees III to be correct as well since angles Q and Q' are equivalent
IV is also correct because, T'S' is 2/3 of TS
Which type of systems of linear equations in two variables has no solution?
Answer:
If one of the equations of the system of linear equations with two variables has no solutions, then the system of equations has no solutions.
8(x - 5) - 3x
5-4(2x-1)
x-3(4x+5)
Answer:
5x-40
-8x+9
11x-15
Step-by-step explanation:
8x-40-3x
8x-3x-40
5x-40
~
5-8x+4
5+4-8x
9-8x
~
x-12x-15
11x-15
4p^2-p=0
Greatest common factor? I think?
The factors of [tex]4p^2 - p = 0[/tex] are p=0 and p = 1/4.
What is greatest common factor?The greatest common factor, which is the product of two or more numbers, is the largest number (GCF). A natural number is created by dividing them by the biggest number (factor). There are a few factors that both share once all the number's factors have been identified. The greatest common factor is the one with the largest number among the common factors. The highest common factor is another name for the GCF (HCF).
Given that [tex]4p^2 - p = 0[/tex]:
Solve the equation to find the value of p:
[tex]4p^2 - p =0\\\\p(4p -1 ) = 0\\[/tex]
Here, the value of p = 0 or the value of (4p - 1) =0.
For (4p -1) = 0, the value of p is:
p = 1/4
Hence, the factors of [tex]4p^2 - p = 0[/tex] are p=0 and p = 1/4.
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Is 11 over 20 greater than 1 or less than 1
Answer:
11/20 is less than
Step-by-step explanation:
Since 11/20 is a fraction and 1 is a whole number.
Keisha sells hats for $10.50 each and scarves for $12.75 each.
Write an equation that represents the total cost, C, of h hats and 6 scarves.
Enter your answer in the space provided.
The equation that represents the total cost, C, of h hats and 6 scarves is C = 10.50h + 76.5
How to write equation?
Amount Keisha sells each hat = $10.50
Amount Keisha sells each scarves = $12.75
Total cost = C
Number of hats = h
Number of scarves = 6
Total cost = Amount Keisha sells each hat(Number of hats) + Amount Keisha sells each scarves(Number of scarves)
C = 10.50(h) + 12.75(6)
C = 10.50h + 76.5
Therefore, C = 10.50h + 76.5 is the equation which represent the total cost of hats and scarves.
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Read the problem below about Uncle Ralph. You are asked to solve it in two different ways and then reflect on your method of solution.
Uncle Ralph says that if you can tell him the number of each type of coin in his pocket, then you can have the money. He gives you this information.
• He has only dimes and quarters.
• He has 17 coins in his pocket.
* The coins are worth $3.35
Can you get Uncle Ralph's money?
a. Solve the problem graphically. (Desmos?)
b. Solve the problem algebraically.
The total value of all the coins in Uncle Ralph's pocket is $3.35, which is represented by the number of each sort of coin.
what is solution ?addressing a problem by a method or action; giving a justification for the remedy. a number of different variable values that all agree with an equation, specifically The solution is any value of a variable in an equation that makes the Left Hand Side (LHS) and the Right Hand Side (RHS) of the equation equal and so fulfills the equality. The act of solving an equation entails locating its solution or solutions. One approach to express a solution's concentration is as a percentage of a solute in the solvent. The mass of the solute to the mass of the solution ratio or the mass of the solute to the mass of the solution ratio are two other ways to calculate the percentage.
given
q represents the number of quarter
17 - q represents the number of dimes
0.25q + 0.10(17 - q) = 3.35
The total value of all the coins in Uncle Ralph's pocket is $3.35, which is represented by the number of each sort of coin.
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Ms. Lea ate ¾ of a bag of skittles, Ms. Peter ate 65% of her bag of skittles and Mr. Thomas ate 0.85 of his bag. Ms. Cassie ate ⅘ of her bag. Who ate the most? Explain how you know.
2. Write in order from least to greatest
30%, 23%, ⅕, 0.18, 2/9, 0.25
The person who ate the most of their bag of skittles is Mr. Thomas.
The order from least to greatest is:
0.18, ⅕, 2/9, 23%, 0.25, 30%
How to find the ate the most ?To find the person who ate the most of their bag of skittles, convert all the quantities that the people had eaten, to decimals and the person with the largest decimal would have eaten the most:
Ms. Lea:
= 3 / 4
= 0. 75
Ms. Peter:
= 65 / 100
= 0.65
Mr. Thomas :
= 0. 85
Ms. Cassie:
= 4 / 5
= 0.80
Mr. Thomas therefore ate the most.
How to order the quantities ?Once again, convert all the decimals and then order them:
30%:
= 30 / 100
= 0. 30
23% :
= 23 / 100
= 0.23
1 / 5 :
= 1 ÷ 5
= 0. 20
2 / 9 :
= 2 ÷ 9
= 0.22
The order is therefore:
0.18, ⅕, 2/9, 23%, 0.25, 30%
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Solve for x. (You will have two answers.) *
|3x - 5| = 11
Your answer
Answer:
x = 16/3 , -2
Step-by-step explanation:
Solving an absolute value equation
|3x - 5| = 11
Separate into two equations, one positive and one negative.
3x-5 = 11 and 3x-5 = -11
Add 5 to all sides
3x-5+5 = 11+5 3x-5+5 = -11+5
3x = 16 3x = -6
Divide by 3
3x/3 = 16/3 3x/3 = -6/3
x = 16/3 x = -2
Answer:
13x=11+51(collecting like terms)
13x=62
make X subject of formular
X = 62/13
X= 4.76 or 4.8
Can anyone please help me answer this question?
Show that the following statement is true for all natural numbers n
a. 1 + 2 + 3 + ⋯ + = n (n + 1)/ 2
b. 1 + 4 + 7 + ⋯ . +(3 − 2) = n (3n - 1)/ 2
Step-by-step explanation:
bfuchx mkch
vncjv
nck
vk
fhf
Answer is in the attached png file
Two forces of 58 newtons and 32 newtons act simultaneously on an
object. The angle between the two forces is 22°. Find the magnitude of
the resultant, to the nearest 10th of a newton. Find the measure of the
angle between the resultant and the smaller force, to the nearest 10th
of a degree.
Answer: To find the magnitude of the resultant, we can use the formula:
R = sqrt(F1^2 + F2^2 - 2F1F2*cos(theta))
where F1 and F2 are the magnitudes of the two forces and theta is the angle between them in radians.
So,
R = sqrt(58^2 + 32^2 - 25832cos(22)) = sqrt(3364 + 1024 - 21856*0.9135) = sqrt(4388) = 66.18
To find the measure of the angle between the resultant and the smaller force, we can use the formula:
theta = atan2(F2sin(theta), F1 + F2cos(theta))
So,
theta = atan2(32sin(22), 58 + 32cos(22)) = atan2(15.49, 81.49) = 16.89 degree
The magnitude of the resultant to the nearest 10th of a newton is 66.2 newton.
Final Answer = The measure of the angle between the resultant and the smaller force, to the nearest 10th of a degree, is 16.9 degree
Step-by-step explanation:
HELP PLEASE IM CATCHING UP LAST MINUTE!!!! :((((
Answer: y = 2x + 4
Explanation: Find the slope, and then create the equation using y=mx+b form.
multiply and divide fraction i ready quiz level e
Answer:
Step-by-step explanation:
the answer
actually its option b
Bernie wants to write equations in the form y=mx+by=mx+b for the lines passing through point pp that are parallel and perpendicular to line rr. First he finds the slopes of these two lines. What could he do next to find the yy-intercepts?.
The next step to find the y intercepts is the substitute the value of m2 and coordinate of point P in the equation of the line intercepts from equation y= mx + b and then solve for b in each equation.
Bernie wants to write equations in the form of y=mx+b where m stands for slope. The line passing through the point P and that is perpendicular to the s and parallel to the line r.
we are aware that if two lines are parallel then the slopes are equal.
So, m1=m2
and if two lines are perpendicular then product of slopes equal to -1
m1×m2=-1
the y intercepts are the point of intersection between the straight line.
y = mx +b and the y axis. The y intercepts value of y when x=0.
The next step to find the y intercepts is the substitute the value of m2 and the coordinate of point P in the equation of the line intercept from equation y=mx +b and then solve for b in each equation.
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Find the side of a square whose area is 36 sq.cm
Answer:
6cm
Step-by-step explanation:
LxW=Area
6x6=36
HELP!
im not to sure on this one...
Solve the inequality 7/2 > b + 9/5
Answer:
7/2 > b + 9/5
-9/5 -9/5
7/2-9/5>b
35/10-18/10>b
17/10>b
1 7/10 > b
b<17/10
b<1 7/10
I rewrote the inequality in many forms just in case if you needed it. The bolded forms are all the same except two have improper fractions, two have mixed numbers, and the b is on the right hand side for two whereas in the other two b is on the left hand side.
Step-by-step explanation:
Answer:
b < 17/10
Knowledge NeededTo solve, you must isolate the variable. It means moving the variable and it's coefficient to the other side of the equation by itself.
Rule
If you multiply, divide, add, subtract, square root, exponent both sides of the equation by the same value, that end value stays the same. That is how you solve for it.
However, if you divide or multiply by a negative number by both sides in an inequality, you must flip the sign.
For example:
> to <
[tex]\geq[/tex] to [tex]\leq[/tex]
QuestionSubtract 9/5 on both sides.
7/2 - 9/5 > b + 9/5 - 9/5
Combine like terms,
7/2 - 9/5 > b
Find the LCD of 7/2 and 9/5 to solve.
LCM of 2 and 5: 10
Multiply both top and bottom of both fractions by 10/their denominator.
35/10 - 18/10 > b
17/10 > b
b < 17/10
I need help with this please I need someone
Answer:
the question is not clear enough to be answered so please state it well