A horizontal line is a line extending from left to right. When you look at the sunrise over the horizon you are seeing the sunrise over a horizontal line. The x-axis is an example of a horizontal line.
Now, According to the question:
What is a Horizontal Line?
Horizontal lines are also known as sleeping lines. In coordinate geometry, horizontal lines are those lines that are parallel to the x-axis. In geometry, we can find horizontal line segments in many shapes, such as quadrilaterals, 3d shapes, etc. In real life, we can find horizontal lines on the steps of the staircase, planks on the railway tracks, etc.
The x-axis is an example of a horizontal line.
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How much money should be put into a savings account now that earns 6.0% a year compounded weekly if you want to have 70000 in 15 years?
If you want to have $70,000 in 15 years, you need start saving money now in a savings account that earns 6.0% annually compounded weekly.
How does compound interest work?When you earn interest on your interest earnings as well as the money you have saved, this is known as compound interest.Compounding is effective for both promised and unguaranteed products. All or part of your money could be lost.
Use the compound interest formula and enter the figures you are familiar with. Then find a solution for the unknown number.
A = P(1 +r/n)^(nt)
where A represents the balance of the account, P represents the amount invested, r represents the yearly rate, n represents the number of times per year interest is compounded, and t is the number of years.
Filling in the given values, we have ...
70000 = P( 1 + 0.06/52)^(52*15) = P(2.4583)
P = 70000/2.4583 = 28474.96
You would need to deposit 28474.96 in order to have 70000 in 15 years.
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Audrey's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=59+6xy=59+6x, where yy represents the expected quiz score and xx represents hours spent on homework that week. What could the number 59 represent in the equation?
A student's expected quiz score if they spent no time on their homework.
A student's expected quiz score if they spent 65 hours on their homework.
The change in expected quiz score for every additional one hour students spend on their homework.
How many hours a student spends studying all year
The number 59 in the equation represents the following:
"A student's expected quiz score if they spent no time on their homework"
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
y=59+6x
When x=0, y=59+6*0 = 59+0 = 59
This means, y=59 is the student's expected quiz score if they spent no time on their homework.
The number 59 in the equation represents the following:
"A student's expected quiz score if they spent no time on their homework"
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Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years
If Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years then he has to pay 3009.6 back.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years.
A=P(1+rt)
Where, A is final amount, P is principal amount, r is rate of interest, t is time period.
P=3000, r=0.16%=0.16/100=0.0016, t=2
A=3000(1+(0.0016)2)
=3000(1+0.0032)
=3000(1.0032)
=3009.6
Hence, Canon needs to pay back 3009.6
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Why do the Iroquois perform rituals?
The Iroquois perform rituals in "The World on Turtle's Back" to honour the twins, demonstrating their belief that they must carry out specific rituals in order to preserve the Earth.
What is rituals?A ritual is a set sequence of actions involving gestures, words, actions, or objects. The customs of a group, including a religious group, may dictate rituals. Formalism, traditionalism, invariance, rule-governance, sacral symbolism, and performance are characteristics of rituals but not what defines them.
All known human societies have rituals. In addition to the rites of passage, atonement, and purification, oaths of allegiance, dedication ceremonies, coronations, presidential inaugurations, marriages, funerals, and other ceremonies, they also include the worship rites and sacraments of organised religions and cults. Even routine behaviours like shaking hands and saying "hello" can be categorised as rituals.
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Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating. 15% tip on a bill of $706.03 The amount of the tip is approximately
Answer: To estimate the tip, you can first round the bill to the nearest ten dollars. In this case, $706.03 rounded to the nearest ten dollars is $710.
Next, you can calculate the tip by multiplying the rounded bill amount by the tip percentage, 15% in this case.
15% of $710 is 15/100 * 710 = 106.50
So the amount of the tip is approximately 106.50
It's worth mentioning that this method of approximation is not always precise, but it can be a quick and easy way to calculate an estimate when you don't need a very precise answer.
Step-by-step explanation:
Factorise fully the following:
a) x² + x
b) 3x-9x²
c) 7x³ - 35x
d) 4x³ + 24x²
The correct factorization are as follows:
(a) x² + x = x(x + 1)
(b) 3x-9x² = 3x(1 - 3x)
(c) 7x³ - 35x = 7x(x^2 - 5)
(d) 4x³ + 24x² = 4x^2(x + 6)
What do you mean by "factorization"?
The most crucial step in factorization is to identify the terms points of commonality. Divide each term by the common factor between them, then multiply the result by the entire expression to maintain the value.
One of the key techniques for reducing an algebraic or quadratic equation to a simple form is factorization. Thus, one should be familiar with factorisation formulas in order to simplify the complex problem.
Additionally, you can always multiply your response to see if you end up with the same result as your starting point.
Step by step solution:
(a): x² + x, [Here both terms have 'x' in common]
=x( (x²/x) + (x/x) )
= x(x+1)
(b): 3x - 9x², [Here both terms have '3x' in common]
=3x( (3x/3x) - (9x²/3x) )
= 3x(1-3x)
(c): 7x³ - 35x, [here both terms have '7x' in common]
=7x( (7x³/7x) - (35x/7x) )
= 7x(x²-5)
(d): 4x³+ 24x² [here both terms have 4x² in common]
=4x²( (4x³/4x²) + (24x²/4x²) )
= 4x²(x+6)
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Mrs. Hubble was paid a total of $1,677 to make some custom dresses. She was paid $129. To make each one. The equation 1,677= 129d represents this situation where d equals the number of dresses she made. What is the value of d in the equation?
The value of d in the equation is 13 and it is equal to the number of dresses made by her.
The total amount paid by Mr. Hubble to make some custom dresses is 1677 dollars.
The price paid to make one dress is 129 dollars.
The equation that represents this situation is given to be 1677 = 129d
Where d is the number of dresses made,
Now, using simple algebra,
1677 = 129d
d = 1677/129
d = 13
So, she has made a total number of dress she made is 13 and the value of d is the equation is also 13.
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Use the graph of the equation to answer the question.
What is the domain of the equation?
What is the range of the equation?
As per the graph, there is no restrictions for the domain but the range has a minimum value at y = - 4.
The domain is any real number:
x ∈ ( - ∞, + ∞)The range is any real number not less than - 4:
y ∈ [ - 4, + ∞)Is x 3 a factor of the polynomial x^3 3x^2 4x 12?
(x - 3) is a factor of the polynomial f(x) = x³ - 3x² + 4x - 12 since f(3) = 0.
To solve the problem, recall the factor theorem.
Factor Theorem states that if we have a polynomial f(x) and if (x - a) is a factor of f(x), then f(a) = 0
The given function is:
f(x) = x³ - 3x² + 4x - 12
To see whether x - 3 is a factor of f(x) = x³ - 3x² + 4x - 12, we need to find f(3).
Substitute x = 3 into f(x):
f(3) =3³ - 3(3)² + 4(3) - 12
f(3) = 27 - 27 + 12 - 12
f(3) = 0
Since f(3) = 0, then x -3 is a factor of x³ - 3x² + 4x - 12
Your question is incomplete, but most probably your question was:
Is x - 3 a factor of the polynomial x³ - 3x² + 4x - 12?
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Rebecca carries a balance on her credit card each month. Today is the first day of the new, 28-day billing cycle. The current balance is x and the APR is 24%. Rebecca is buying a friend an expensive gift that cost $1,400 that she plans to put on her credit card. this will be her only purchase this month, and she will be making this purchase on the last day of the month
Part A
If her Finance charge will be $51, write and solve an equation to determine her current balance on her credit card. Show work
Part B
How much in finance charges can she save by making the purchase on the last day of the billing cycle versus the first day of the billing cycle? Explain how you determined your answer
Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the laset day of the billing cycle instead of on the first day.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The billing cycle for the month = 28 days
Current beginning balance = x
Annual percentage rate (APR) = 24%
Monthly percentage rate (MPR) = 2% (24% ÷ 12)
Purchase on the last day = $1,400
Total finance charge for the month = $51
Finance charge for the last-day purchase = $1 ($1,400 x 2% x 1/28)
Finance charge for the beginning balance = $50 ($51 - $1)
The current beginning balance, x = $2,500 ($50 ÷ 2%)
Equation for current beginning balance, x = 51 - 1 ÷ 0.02
Total finance charge for the last-day purchase = $28 ($1,400 x 2%)
Savings in finance charge by purchasing on the last day = $27 ($28 - $1)
Hence, Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the laset day of the billing cycle instead of on the first day.
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The table shows the heights y (in centimeters) of a plant after x weeks. Use the table to complete the statements.
x 0
4
8
y 17 29 41
What is the numerical coefficient of the term − 6xy?
The numerical coefficient of xy in the given expression 6xy is 6.
In mathematical terms, a coefficient is a numerical value that is multiplied by a variable in an algebraic expression. The coefficient is the number that appears in front of the variable.
For example, in the expression 3x, the coefficient is 3. In the expression 2[tex]y^2[/tex], the coefficient is 2. In the expression -5[tex]z^3[/tex], the coefficient is -5.
In the case of a constant term in an expression, the coefficient is the constant term itself.
For example, in the expression 3x + 4, the coefficient of x is 3 and the coefficient of the constant term 4 is 4.
Here, in the expression 6xy, the numerical coefficient of xy is 6.
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Determine whether the graph of the given equations are parallel, perpendicular, or neither
Answer:
7) perpendicular
8) perpendicular
Step-by-step explanation:
If the equations are in the form:
y = mx + b
(they all are in this form in these questions)
the m, the number in front of the x, is the slope.
If the slopes are the "negative reciprocals" (opposite signs and flipped over from each other) of each other, then the lines are perpendicular.
You can also do a quick check by, if the m values are multiplied together you should get -1.
1/3 • - 3 = -1
1 • -1 = -1
1/3 and -3 have opposite signs and are reciprocals (flipped over)
1 and -1 are opposite signs. It isn't very obvious maybe that they are reciprocals, but they are. Like 1/1 flipped over is 1/1.
If the radius of a circle is x cm, what is the measure of its circumference? write.
Answer:
2 pie over r
Step-by-step explanation:
Step-by-step explanation:
the circumference is given by:
[tex]2\pi(radius)[/tex]
in this case x is the radius hence the circumference would be:
[tex]2\pi(x)[/tex]
hope this helps :)
What is the product of and 3 /- 4?
Using multiplication we know that the product of 3 * - 4 is -12.
What is multiplication?One of the four fundamental arithmetic operations, along with addition, subtraction, and division, is multiplication.
A product is the output of a multiplication operation.
The addition method, lengthy multiplication, grid method, and drawing lines are four different ways to multiply.
So, we have:
3 * -4
Here, we know that 3 is a positive number and -4 is a negative number.
And so the product will be a negative number.
Now, calculate the product as follows:
3 * -4
-12
Therefore, using multiplication we know that the product of 3 * - 4 is -12.
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what is the least common denominator 5/8 and 3/4
Answer:
The least common denominator is 8, you need to multiply the 3 by 2.
Answer:
8
Step-by-step explanation:
Is 16x2 40x 25 a perfect square trinomial?
No, 16x2 40x 25 is not a perfect square trinomial.
What is perfect squares?Perfect squares are numbers that are the result of multiplying a number by itself. Examples of perfect squares include 4, 9, 16, 25, 36, and 49. Perfect squares are also known as "square numbers" or "whole numbers." Perfect squares are not just limited to whole numbers; some decimals and fractions can also be perfect squares.
A perfect square trinomial is an expression of the form a2 + 2ab + b2, where a and b are constants. 16x2 40x 25 does not fit this form, and is therefore not a perfect square trinomial.
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maz changes 30 dollars back into pounds how many pounds will he get
Answer:
24.90 pound
1 dollar equivalent to 0.8301 pound
so 30 dollar will be 30 multiply by 0.8301
which equals 24.903 pounds
A neighbor of yours is getting ready to
plant a garden of flowers in his backyard.
He asks you for ideas on how to
conserve soil. You notice that his
backyard has a lot of hills. What do you
suggest?
In order to maintain soil fertility and productivity, soil must be protected from erosion and other forms of deterioration. Water use and watershed management are typically included.
What comes first in gardening?Eliminating the existing vegetation is the first step in making a garden bed. Weeds can be manually pulled. Just be certain to remove the roots to prevent regrowth. You might want to rent a gas-powered sod cutter to get rid of the grass if you're starting with a lawn.
What is an example of soil conservation?Better soil conservation techniques that affect both erosion and fertility include crop rotation, cover crops, conservation tillage, and installed windbreaks.
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What is an example of a similarity transformation geometry?
We refer to the enlargement or reduction of one of two figures as a similarity transformation. For example: When one of two figures can be produced from the other and the ratio of their corresponding sides is equal, we say that the two figures are comparable. Similar figures come in a variety of sizes and shapes.
Either a geometric similarity or a matrix transformation that produces a likeness are referred to as "similarity transformations" in this context. Space items are changed into comparable things by similarity transformations. Fractals and iterated function systems are based on essential principles such as similarity transformations and the idea of self-similarity.
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Which equation with exponential expression are true?
Answer: B,D
Step-by-step explanation:
the sides of a triangle are 7,10,12 cm long. Classify the triangle
Answer:340 cm long
Step-by-step explanation: multiply 7 x 10 then 70 x 12
The sum of the measures of the interior angles of a polygon is 5 times the sum of the measures of the exterior angles. How many sides does the polygon have
Answer:
polygon has 12 sides
Step-by-step explanation:
the sum of the exterior angles of a polygon is 360°
the sum of the interior angles of a polygon is
sum = 180° (n - 2 ) ← n is the number of sides
given the sum of the interior angles is 5 times sum of exterior angles, then
sum = 5 × 360° = 1800° then
180° (n - 2) = 1800 ( divide both sides by 180 )
n - 2 = 10 ( add 2 to both sides )
n = 12
Thus the polygon has 12 sides
PLEASE HELP ME WITH PROBLEM C
1) The Magnolia trees purchased for planting at the school are 3 feet tall. Research shows that these types of trees grow at an average rate of 3/4 feet per year.
a) Write an equation in Slope-Intercept form to represent the growth of the trees over time. Let x represent the number of years and let y represent the height (in ft.) of the tree.
Y=3/4x+3
b) What does the y-intercept represent in your equation
Y=3. 3 stands for feet tall
c) Determine the height of the tree in 3 years.
a) To write an equation in slope-intercept form to represent the growth of the Magnolia trees over time, we can use the formula y = mx + b, where x represents the number of years, y represents the height of the tree in feet, m represents the slope (or rate of growth) of the tree, and b represents the y-intercept (or the height of the tree at x = 0).
In this case, the slope (m) of the tree is 3/4 feet per year and the y-intercept (b) is 3 feet, as the trees are initially 3 feet tall when they are purchased. Plugging these values into the formula gives us:
y = (3/4)x + 3
This equation represents the growth of the Magnolia trees over time.
b) The y-intercept of an equation in slope-intercept form represents the value of y when x is equal to 0. In this case, the y-intercept of the equation y = (3/4)x + 3 is 3 feet. This means that when x is equal to 0 (when no years have passed), the height of the tree is 3 feet.
c) To determine the height of the tree in 3 years, we can substitute 3 for x in the equation y = (3/4)x + 3 and solve for y. This gives us:
y = (3/4)(3) + 3
= 9/4 + 3
= 21/4
= 5.25 feet
Therefore, the height of the tree in 3 years is approximately 5.25 feet.
the equation t=s/5 gives the number of cups pf tomatoes,t,required per cup of salad,is. what is the constant of proportionality
The given equation t = s/5 represents a proportional relationship and the value of the constant of proportionality is 1/5.
What is the constant of proportionality?The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.
Proportional relationships are written in the form y = kx
where k is the constant of proportionality.
The given equation below which is given in the question:
t = s/5
The above equation represents a proportional relationship.
According to the given question, k = 1/5 so the answer is 1/5.
Thus, the value of the constant of proportionality is 1/5.
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PLEASEE HELP PICTURE ATTACHED
if m/P = (12x + 7);, m Q = (6x - 7), and LP
and /Q are complementary angles, find m /Q.
On solving the provided question, we can say that - the valuye os the complementary angle is 83.0000000004.
what is complementary angles?When two angles add up to 90 degrees, they are said to be complimentary. When two angles add up to 180 degrees, they are said to be subservient. . When the sum of two angles equals 90 degrees, they are called complementary angles. For example, 30 and 60 degrees are supplementary angles. A supplementary angle is two angles that add up to 180 degrees, and a supplementary angle is two angles that add up to 90 degrees. of 30 and 60 degrees are supplementary. A supplementary angle is two angles combined to make a 180 degree angle, while a supplemental angle is two angles combined to make a 90 degree angle. Two angles are referred to as complimentary if their total is 90 degrees. Alternatively said, a right angle is created by the complementary angles (90 degrees).
here we have
(12x + 7) = 90
12x = 83
x= 6.9166666667
12x = 83.0000000004
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What is the coefficient in this expression?
12 - x + 3
The coefficient is -1
Copy and complete each of the Diamond Problems below.
The pattern used in the Diamond Problems is shown at right.
b.
a.
0.32
12
"1
J
c.
9
2
d.
234
31
Core Connections, C
"
J
The provided schematic must be followed in order to answer these diamond problems. You must multiply the values on the left (x) and right (y) cells in order to find the value that belongs in the top cell.
we have,
For Diamond Problems a
x+y=1.2
xy=.32
so value of x= .8 and y = .4.
for Diamond Problems b
x= 11
x+y=25.
so y= 14 and xy=11*14=154.
for Diamond Problems c
x=-7
y=-9
so x+y=-16 and xy= 63.
for Diamond Problems d
x+y=31
xy=234
x=13 and y=18
Is figuring out puzzles a skill?Because puzzles engage both the left and right sides of your brain, solving them aids in the development of your problem-solving abilities. Solving puzzles with others is a terrific method to improve your communication and cooperation skills in addition to your problem-solving and critical thinking abilities.
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1) (0,-3) (-2,-4) find the slope
Therefore , the solution of the given problem of slope comes out to be
M = 1/2.
What is a slope?What determines a line's steepness is its slope. Gradient overflow is a mathematical expression for the gradient. The slant is the proportion of both the vertical difference (rise) over the distance between two locations to the lateral change (run) over the same distance. Hill form of an equation is used to express a straight line's equation, which is written as y = mx + b. A point on the line where the slope is m, b equals a, and the y-intercept is placed is (0, b). An illustration would be the slope and y-intercept of the formula y = 3x - 7 (0, 7). At the location of the y-intercept, the line has a slope of m, b, and c.
Here,
Given : (0,-3) and (-2,-4)
Thus,
To calculate the slope ,
We use formula:
=> M = y2 -y1 /x2-x1
=> M = -4 -(-3) / -2 - 0
=> M = -1 /-2
=> M = 1/2
Therefore , the solution of the given problem of slope comes out to be
M = 1/2.
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' I did he heard diamster of 76 ice. Whidh meekureman it dosef to the draunference of the
Since the diameter of this circle is 76 inches, a measurement which the circumference of this circle has include the following: C. 238.64 inches.
How to calculate the circumference of a circle?Mathematically, the circumference of a circle can be calculated by using this mathematical expression:
C = 2πr or C = πD
Where:
C represents the circumference of a circle.D represents the diameter of a circle.r represents the radius of a circle.Substituting the given parameters into the circumference of a circle formula, we have;
Circumference of circle, C = πD
Circumference of circle, C = 3.14 × 76
Circumference of circle, C = 238.64 inches.
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Complete Question:
The diameter of a circle is 76 inches. Which measurement does the circumference of this circle have?
A. 123.45 inches.
B. 438.65 inches.
C. 238.64 inches.
D. 338.64 inches.