The 3 horizontal line refers the equivalent relation.
The term horizontal line in math defined as a straight line that is mapped from left to right and it is parallel to the X-axis in the plane coordinate system.
Here have to find the meaning of 3 horizontal line.
As per the definition of horizontal line, the three horizontal line also known as triple line defines the equivalent relation of the term.
Here the equivalent that is not the same as 'equals'
Where the double bar is more common and generally implies equality on the other hand the triple bar or equal sign with three lines means congruent or, more generally, an arbitrary equivalence relation.
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A taxicab company charges $2.30 plus $0.80 per mile. Carmen paid a fare of $11.90. Enter and solve an equation to find the number of miles she traveled. Use m as your variable.
The number of miles the taxicab traveled is 12.
The area of mathematics known as algebra aids in the representation of circumstances or problems into mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division.
Given that,
The fixed charges = $ 2.30
Additional charges per miles = $ 0.80,
Thus, the additional charges for x number of miles = $ 0.80x
So, the total charges for x number of miles = Fixed charges + additional charges
=> 2.30 + 0.80x
According to the question,
2.30 + 0.80x = 11.90 (this is the required equation)
Subtracting 2.30 from both sides,
0.80x = 9.6
Dividing both sides by 0.80
x = 12
Hence, the taxicab traveled 12 miles.
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question in in the image
Answer:
Step-by-step explanation: The answer will be D isolate the variable x by dividing by the factors.
What is the value FG?
FG is not a defined term, so there is no way to determine its value.
FG is not a defined term, so there is no way to determine its value. This means that we cannot assign a numerical or other value to it. In order to determine the value of FG, we would first need to identify the context in which it is being used, as different contexts may assign different meanings to the same term. Once the context has been established, we can then look up the definition of FG in order to understand what it means in that particular context, and then assign a value to it accordingly. For example, if FG stands for "Frequency Generator" in a physics context, then it would likely have a numerical value associated with it.
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23. Factor each polynomial completely.
a. 5a²c-3a²d + 5b²c3b²d
b. x2 + 6x" +9
Step-by-step explanation:
a. 5a²c-3a²d + 5b²c3b²d l can't this question but l can calculate a. 5a²c-3a²d + 5b²c-3b²d.
I this your question is a little worng.
Is 9x2 42x 49 a perfect square trinomial?
No, 9x2 42x 49 is not a perfect square trinomial.
What is perfect squares?Perfect squares are numbers that are the product of a number multiplied by itself. Examples of perfect squares include 4 (2 x 2), 9 (3 x 3), 16 (4 x 4), 25 (5 x 5), 36 (6 x 6), 49 (7 x 7), and 64 (8 x 8). Perfect squares are also referred to as "square numbers" or "whole-number squares."
No, 9x2 42x 49 is not a perfect square trinomial. A perfect square trinomial is a polynomial of the form a2 + 2ab + b2,
where a and b are numbers or variables.
9x2 42x 49 does not fit this pattern, as it does not involve two terms whose sum is multiplied by itself.
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question: 49a+26+11–3–6
Answer:
49a + 28
Step-by-step explanation:
Answer:
49a+28
Step-by-step explanation:
49a+26+11–3–6
49a+26+11-9
49a+26+2
49a+28
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Is Br2 equal to Avogadro's number?
Br₂ does not equal to Avogadro's number. Since bromine is a diatomic element.
What is a diatomic element?
Diatomic molecules—so named because they only contain two atoms of the same or different chemical elements—are molecules that are made up of two atoms. A diatomic molecule is considered to be homonuclear if it contains two atoms of the same element, such as oxygen (O₂) or hydrogen (H₂).
Each bromine molecule consists of 2 atoms of bromine. Br₂ consists of two moles. One mole of bromine consists of 6.02214076 × 10²³ atoms. Thus 2 moles of bromine consist of 2 × 6.02214076 × 10²³ = atoms. Thus Br₂ does not equal to Avogadro's number.
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Pls help quickly. Calculate the bearing of Y from
Z.
N
X
135°
z+
105°
Z
Y
Not draw
The bearing of point Y from point Z is 30 degrees.
What is the bearing of a point?
The bearing of a point is the angle measured in degrees clockwise from a reference direction (usually north). To find the bearing of point Y from point Z, we need to determine the angle between the line connecting point Z to point Y and the reference direction.
we know that the bearing of point X from point Z is 135 degrees, and the bearing of point X from point Y is 105 degrees.
we can use the following mathematical relationship to find the bearing of point Y from point Z:
Bearing of Y from Z = (Bearing of X from Z) - (Bearing of X from Y)
Substituting the values we know:
Bearing of Y from Z = 135 - 105 = 30 degrees
Hence, the bearing of point Y from point Z is 30 degrees.
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A package of salt waits 25 KG and a packet of sugar weighs 35 KG find the ratio of weight of salt to the weight of sugar
[tex] \longmapsto \: =25/35 [/tex]
[tex] \longmapsto \: =5/7[/tex]
[tex] \longmapsto \: =5:7[/tex]
Whats the answer to the equation
(-7.14) + (-5.2)
The answer to the addition equation (-7.14) + (-5.2) = -12.34
What is addition?Addition is a mathematical operation in which two numbers are combined together using the addition symbol, +.
What is the answer to the given equation?Since we have the equation (-7.14) + (-5.2), we desire to add both numbers together. We proceed to add the two numbers as follows.
(-7.14) + (-5.2) = -7.14 - 5.2
= -12. 34
So, we see that the answer to the addition equation (-7.14) + (-5.2) = -12.34
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Why is there a horizontal asymptote?
The reason behind horizontal asymptote is defined as the end behavior of the function.
The term asymptote in math is known as a straight line that constantly approaches a given curve but does not meet at any infinite distance.
Here we need to list down the reason behind horizontal asymptote.
As we all know that the horizontal asymptote of a graph is a horizontal line y = b where the graph approaches the line as the inputs approach ∞ or –∞. Here we also know that the slant asymptote of a graph is a slanted line y = mx + b where the graph approaches the line as the inputs approach ∞ or –∞.
Therefore, through the definition we know that the horizontal line to which the graph of the function appears to coincide with but it doesn't actually coincide.
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Similar figures review
The width for the second rectangle which is HIJK will be A. 24 inches.
How to illustrate the relationship?From the diagram, it should be noted that rectangle ABCD is similar to rectangle HIJK. Therefore it should be noted that the relationship between the width and length is expressed as:
= Width / Length
= 12/16
= 3/4
Therefore, the width for the second rectangle will be:
= 3/4 × 3.2
= 2.4
In conclusion, the correct option is A.
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At the end of a snowstorm, Peyton had 8 inches of snow on her lawn. The temperature then increased and the snow began to melt at a constant rate of 1 inch per hour. Assuming no more snow was falling, how much snow would Peyton have on her lawn 2 hours after the snow began to melt? How much snow would Peyton have on her lawn after t hours of snow melting?
The amount of snow on Peyton's lawn after 2 hours is 4 inches
amount of snow after t hours y = 8 - t
How to model the required equationA linear function consists of functions where the variables has exponents of 1.
The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
definition of variable to suit the problem
y = output variable = amount of snow remaking
m = slope = 1 inch per hour
x = input variable = number of hours
c = y intercept = 8 inches of snow on Peyton's lawn
The equation as described in the problem is represented using linear function as as follows
y = 8 - x
in 2 hours x = 2
y =8 - 2 = 4 inches
The quantity of snow after t hours
x = t
y = 8 - t
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i need to add 7/4 + 1/4 +5/3+ 1/3+1/2+1/2
Answer:
5
Step-by-step explanation:
[tex]\frac{7}{4}+\frac{1}{4}+\frac{5}{3}+\frac{1}{3}+\frac{1}{2}+\frac{1}{2}\\\\ =\frac{8}{4}+\frac{6}{3}+\frac{2}{2}\\ \\ =2+2+1\\ \\ =5[/tex]
Find the derivative of the function. y = arctan √[(1 − x) /(1 + x)]
y' = ?
and
Find the derivative of the function. y = 3tan−1 [x − √(1 + x^2)]
y' = ?
The derivative function for equations 1 and 2 will be
y' = -1/ [2√(1-x²)] and y' = 3/[2(1 + x²)] respectively
Here we need to find the derivative of
[tex]y = tan^{-1}\sqrt{\frac{1-x}{1+x} }[/tex]
Let x = cos2z
Hence we get
[tex]y = tan^{-1}\sqrt{\frac{1-cos2z}{1+cos2z} }[/tex]
[tex]or, y = tan^{-1}\sqrt{\frac{2sin^{2}z}{2cos^{2}z} }[/tex]
[tex]or, y = tan^{-1}(tanz)[/tex]
or, y = z
Hence dy/dx = dz/dx
We know that
x = cos2z
or, 2z = cos⁻¹x
or, 2 dz/dx = -1/√(1-x²)
Hence dy/dx = -1/ [2√(1-x²)]
The second equation is
[tex]y = 3tan^{-1}[x-\sqrt{1+x^{2}} ][/tex]
Let x = cotz
Hence we get
[tex]y = 3tan^{-1}[cotz-\sqrt{1+cot^{2}z} ][/tex]
[tex]y = 3tan^{-1}[cotz-\sqrt{cosec^{2}z} ][/tex]
or, y = 3tan⁻¹ [cotz - cosecz]
or, y = 3tan⁻¹ [cosz/sinx - 1/sinz]
or, y = 3tan⁻¹ [(cosz - 1)/sinz]
or, y = 3tan⁻¹ [-2sin²(z/2)/{2sin(z/2) cos(z/2)}]
or, y = 3tan⁻¹ [-sin(z/2)/cos(z/2)]
or, y = 3tan⁻¹ [-tan{z/2)]
or, y = 3tan⁻¹ [tan{-z/2)]
or, y = -3z/2
or, dy/dz = -3/2 dz/dx
We have
x = cotz
or, z = cot⁻¹z
or, dz/dx = -1/(1 + x²)
Hence we get
dy/dx = 3/[2(1 + x²)]
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Find the value of the expression below for r= 4 and t = 2.
2-r+20=r
09
072
06
040
Answer: 8-4+5
Step-by-step explanation: Best I could do
Hays is standing outside on a sunny day. he is 6 ft tall and casts a 4 ft shadow. what is the distance from the top of hays's head to the end of his shadow? round to the nearest tenth, if necessary. responses
a. 4.5 ft
b. 4.5 ft
c. 5 ft
d. 5 ft
e. 7.2 ft
f. 7.2 ft
g. 10 ft
Options e and f is the correct answers. The distance from the top of hays' head to the end of his shadow is 7.21ft
Hays' body and his shadow are perpendicular.
So if we imagine the line from the top of his head to the end of his shadow on the ground, we have a right triangle, and the imaginary line is the hypotenuse.
Then you can stand back and let Pythagoras figure out the length of the line for you, using c² = a² + b²
(Distance)²=(Hay's height)²+(length of his shadow)²
(Distance)²=(6 ft)² + (4 ft)²
(Distance)²=(36 ft²) + (16 ft²)
(Distance)=52 ft²
Distance =√(52 ft)²
Distance = 7.21 ft
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Marco's mom gave him d dollars for his allowance one week. He also earned $ 14.55 dollar sign, 14, point, 5 for his newspaper route that week.
The total amount of money that Marco has that week would be = $ d + 14.55.
What is an allowance income?An allowance income is defined as the amount of money an individual earns that can be used to solve their personal needs.
Marco received double payment, an allowance from the mother and from newspaper route.
The total amount of money received from his mother for allowance for that same week = $ d
The amount of money he earned from his newspaper = $14.55
Therefore the total amount of money Marco has that week =$ d + 14.55
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Complete question:
Marco's mom gave him d dollars for his allowance one week. He also earned \$14.55$14.55dollar sign, 14, point, 55 for his newspaper route that week.
How much money does Marco have?
Write your answer as an expression.
I don’t know this question
The phrase b2 - 4ac is referred to as the discriminant for the quadratic equation ax2 + bx + c = 0.
What is a discriminant formula?The phrase b2 - 4ac is known as the discriminant for the quadratic equation ax2 + bx + c = 0. How many roots f(x) has is shown by the discriminant's value: - The quadratic function has two unique real roots if b2 - 4ac > 0 A repeated real root exists in the quadratic function if b2 - 4ac = 0.
D=b2 - 4ac, discriminatory
The constant term c.
In mathematics, a discriminant is a parameter of an object or system that is calculated to help with its classification or solution. For the cubic equation x3 + ax2 + bx + c = 0, the discriminant is a2b2 + 18abc 4b3 4a3c 27c2, while the discriminant for the quadratic equation ax2 + bx + c = 0 is b2 4ac.
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An otter is swimming in the deep area of his tank at the zoo. The surface area of the otter's back is A
The equation of the magnitude of the force applied at the back of otter is F is (P+P0)A F is ( P + P 0 ) A .
What does the term magnitude of the force mean?The amount that encapsulates the force's power is known as its magnitude. Consider the following scenario: the force is 10 N in the east. The direction is indicated by "towards east," while the force is indicated by "10." Magnitude may be thought of as simply the "value" or "amount" of any physical quantity.
The surface area of the otter's back is A = 0.55 m2.
The fluid pressure at the depth of the otter is P = 11500 Pa.
Thus, the equation of the magnitude of the force applied at the back of otter is F=(P+P0)A F = ( P + P 0 ) A .
The complete question is
An otter is swimming in the deep area of his tank at the zoo. The surface area of the otter's back is A = 0.55 m2. The fluid pressure at the depth of the otter is P = 11500 Pa.
Write an equation for the magnitude of the force F on the back of the otter in terms of the pressure P and the atmospheric pressure P0.
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Which fraction is greater 28/16 or 7/4
Answer:
business plan proposal
Answer:
we have to make the denominator of both the fraction same so that we can compare.
We have to multiplybboth nominator and denominator by 6.then,
7×6/4×6=28/16
Now, comparing 28/6 and 28/6 we get to know that both the fraction are proportional.i.e.28/16=7/4
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Six times the sum of a number and 25 is at least 30
Answer:
Step-by-step explanation:
Let the number be x then:.
According to the question:
6 * (x + 25) = 30
therefore,
x + 25 = 30 / 6
x + 25 = 5
x = 5 - 25 = -20
The table shows the distance Penelope is from the park as she walks to soccer practice. Assume the relationship between the two quantities is linear.
Time (min), x Distance (m), y
5 1,930
10 1,380
15 830
20 280
The equation of the function in the form y=mx+b is y = 110x-2020
Adaptation of function speed
A line's equation is written as mx + b = y, where m denotes the rate of change or slope.
The intercept is B.
utilizing the coordinates
Calculate the slope.
m = 550/5
m = 110
The intercept for
280 + 110(20) + b
280 = 2200 + b
b = 180 - 2200
b = -2020
The equation for the function of the type y=mx+b is hence y = 110x-2020.
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The complete question would be:
The table shows the distance Penelope is from the park as she walks to soccer practice. Assume the relationship between the two quantities is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y=mx+b
F(x)=Sin2x ,x0=pi:3
f(x)=3x-x^2 ,x0=-1
Pleae help and if omeone ha dicord erver to help olve math problema pleae give me invite
The given equation 1 value of F(x) is 0.109 and in equation 2 F(x) is -4 respectively.
What in mathematics is trigonometric?Trigonometry is one of the important branches in the history of mathematics that deals with the study of the relationship between the sides and angles of a right-angled triangle. This concept is given by the Greek mathematician Hipparchus.
Trigonometry is the study of angles and the angular relationships between planar and three-dimensional figures. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circular functions) that make up trigonometry.
if x⁰=π in eq1
then [tex]f(x)= sin\ 2 \pi[/tex]
[tex]f(x) = 0.109[/tex]
if x⁰= -1 in eq2
then [tex]f(x)=3(-1)-(-1)^2[/tex]
[tex]f(x) = -4[/tex]
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2+2/3x=3/7 rewritten no fractions
Answer:
x = 3.1 as a decimal or x = 28/9 as a fraction
Step-by-step explanation:
Kyle puts all of his craft beads into a bag. Exactly 1/3 of the beads are blue and 5/16 are red. What is the unit rate of blue beads to red beads in Kyle's bag?
The unit rate of blue beads to red beads in Kyle's bag is 1(1/15).
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
Blue beads = 1/3
Red beads = 5/16
The unit rate of blue beads to red beads.
= 1/3 ÷ 5/16
= 1/3 x 16/5
= 16/15
= (16/15) / 1
= 1(1/15) / 1
Thus,
The unit rate is 1(1/15).
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Suppose you throw a ball straight up from the ground with a velocity of 176 feet per second. As the ball moves up, gravity slows it. Eventually, the ball begins to fall back to the ground. The height h of the ball after t seconds in the air is given by the equation h=−16t2+176t. Use the given information to answer parts a through c.
a. Find the height of the ball after four seconds
Therefore, the height of the ball after four seconds is 448 feet.
Define height.Height refers to the vertical distance between something's top and bottom or its base and anything above it. Height is used to describe everything that may be measured vertically, high or low.
What is distance?Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
We need to plug t = 4 into the equation h = -16t^2 + 176t.
h = -16(4^2) + 176(4)
h = -16(16) + 704
h = -256 + 704
h = 448 feet.
So, 448 feet is the height after four seconds.
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A company i expanding it building area from 18,000 quare feet to 25,380 quare feet. What i the percentage increae of the area of the building pace?
41% is the percentage increase of the area of the building pace.
What is percentage?When the denominator is 100, percentages are really just fractions. We place the percent sign (%) next to the number to indicate that the number is a percentage.
Comparing two amounts while rebasing the second amount to 100 is the simplest way to use percentages. The word percentage comes from the Latin term per centum, which means "by the hundred." In the 16th century, the Latin term made its way into English. It was later abbreviated to %.
A company is expanding it building area from 18,000 square feet to 25,380 square feet.
= (25,380 - 18,000)
= 7,380
Now,
= 7,380 / 18,000
= 0.41
the percentage increase of the area of the building pace: 0.41 / 100 = 41%
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A measurement which could be the side lengths of a right triangle include the following: C. √24 in, √6 in, √30 in.
How to determine the side lengths?In order to determine which measurements could be the side lengths of a right triangle, we would have to apply Pythagorean's theorem.
Mathematically, Pythagorean's theorem is given by this formula:
x² + y² = z²
From the side lengths of the first triangle, we have the following:
(√6)² + (√30)² = (√33)²
6 + 30 = 33
36 = 33 (False).
From the side lengths of the first triangle, we have the following:
(√27)² + (√18)² = (√48)²
27 + 18 = 48
45 = 48 (False).
From the side lengths of the first triangle, we have the following:
(√6)² + (√24)² = (√30)²
6 + 24 = 30
30 = 30 (True).
From the side lengths of the first triangle, we have the following:
(√18)² + (√21)² = (√48)²
18 + 21 = 48
39 = 48 (False).
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Suppose you and a friend decided to produce counterfeit 100 Trillion notes to try and make money selling them on Ebay. Because of the new influx of $100 trillion notes, the Ebay price decreases from USD$200 to just USD$50, over 4 weeks.This corresponds to a monthly inflation rate of 400%, since 4 notes are worth what 1 note was a month before.
Assuming this devaluation continues at the same rate, how much will the notes be worth in a years time? What is that yearly inflation rate?
The valuation of the notes in a years is given as follows:
y = 200(0.00000006)^a.
The yearly inflation rate is of:
1,666,666,667%
How to model the situation?The valuation changed by a percentage in a period of time, hence an exponential function is used to model the situation.
An exponential function is defined as follows:
y = a(b)^x.
For which the parameters are given as follows:
a is the initial value.b is the rate of change.The initial valuation is of $200, hence the parameter a is given as follows:
a = 200.
Thus the function should be modeled as follows:
[tex]y = 200(b)^a[/tex]
In which a is the time in years.
In one month, the amount decayed to $50. One month is 1/12 of a year, as one year is composed by 12 months, hence the parameter b is obtained as follows:
[tex]50 = 200(b)^{\frac{1}{12}}[/tex]
[tex](b)^{\frac{1}{12}} = \frac{50}{200}[/tex]
[tex](b)^{\frac{1}{12}} = \frac{1}{4}[/tex]
Elevating both sides to 12, we have that:
b = (0.25)^12
b = 0.00000006.
Hence the function is:
y = 200(0.00000006)^a.
The inflation rate is given as follows:
1/0.00000006 x 100% = 1,666,666,667%
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