The minimum value of the given quadratic equation is 31/8. Solved using graph method to find a minimum value that is c - b^2/4a.
By graphing the equation and locating the minimum point on the graph, you may visually determine the minimum value. The graph's vertex will have the lowest y-value. When you have a graphing calculator that can perform the majority of the work for you, this is very simple.
A graph makes it simple to determine the minimum value of a quadratic equation. One can use the graph to identify the minimum point of the quadratic equation and to find the minimum value in a visual way. If the quadratic equation is written as [tex]y= ax^2 + b*x + c[/tex]one can follow the equation that says the minimum value is min = c- (b^2/4a) to obtain the minimum value of the quadratic equation.
Given Quadratic equation is y = 2x^2 + 3x + 5
a = 2 , b =3 ,c = 5.
Minimum value = c - (b^2/4a)
= 5 - 9/8
=31/8.
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Suppose that ƒ(−1)=10 and ƒ'(x)≥−3 for all values of x. What is the least possible value of ƒ(3)?
Using the mean value theorem, the least possible value of f(3) is - 2
What is the mean value theorem?The mean value theorem states that for a function f(x) on the interval (a, b), there exists a value c such that
f'(c) = f(b) - f(a)/(b - a)
How to find the least possible value for f(3)?Since ƒ(−1) = 10 and ƒ'(x) ≥−3 for all values of x, we require the least possible value of f(3).
Using the mean value theorem where
b = 3, a = -1 and f'(c) ≥ 3.We choose f'(c) = 3 since f'(x) = 3 is the minimum value of f'(x).
So, substituting the values of the variables into the equation, we have that
f'(c) = f(b) - f(a)/(b - a)
f'(x) = f(3) - f(-1)/(3 - (-1))
f'(x) = f(3) - f(-1)/(3 + 1)
f'(x) = f(3) - f(-1)/4
So, making f(3) subject of the formula, we have that
f(3) = f(-1) + 4f'(x)
Since
f'(x) = 3 and f(-1) = 10,Substituting the values of the variables into the equation, we have that
f(3) = f(-1) + 4f'(x)
f(3) = 10 + 4(-3)
f(3) = 10 - 12
f(3) = - 2
So, the least possible value is - 2
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Aiden ha a gro income of 63,000 and take the tandard deduction. Their total taxe due are 6,628
A) what i their taxable income
B) what i their marginal rate
C) what i their effective rate? Round to the nearet hundredth of a percent
If their total taxes due are $6,847.50, their taxable income is: $56,152.2, marginal rate is 22% and the effective tax rate is 10.87%.
What is your taxable income?The term taxable income refers to any gross income earned that is used to calculate the amount of tax you owe. Put simply, it is your adjusted gross income less any deductions. This includes any wages, tips, salaries, and bonuses from employers.
What is minimum taxable income?The minimum income amount depends on your filing status and age. In 2022, for example, the minimum for single filing status if under age 65 is $12,950. If your income is below that threshold, you generally do not need to file a federal tax return. Review the full list below for other filing statuses and ages.
Taxable income
a. Taxable income:
Taxable income=Gross income - Total taxes due
Taxable income=$63,000-$6,847.50
Taxable income=$56,152.5
b. The marginal tax rate for taxable income under the income bracket of of $40,526 to $86,375 is 22%.
c. Effective tax rate:
Effective tax rate = Total taxes due/ Taxable income×100
Effective tax rate =$6,847.50/$56,152.5×100
Effective tax rate =10.869%
Effective tax rate =10.87% (Approximately)
Inconclusion if their total taxes due are $6,847.50, their taxable income is: $56,152.2, marginal rate is 22% and the effective tax rate is 10.87%.
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Is 12 16 20 a right triangle?
No, 12 16 20 is not a right triangle. In order to be a right triangle, one side must be the same as the square root of the sum of the squares of the other two sides. In this case, the hypotenuse (side 20) is not equal to the square root of 12^2 + 16^2 which is 20.
No, 12 16 20 is not a right triangle. To determine whether or not something is a right triangle, we need to use the Pythagorean Theorem. This theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is side 20, and the other two sides are 12 and 16. When we calculate the square root of 12^2 + 16^2, we get 20, which does not match the length of the hypotenuse. Therefore, 12 16 20 is not a right triangle.
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*PLEASE HELP ASAP!!!*
Therefore Because of this, the square root is 2 is "irrational" (cannot be written as a fraction) since, if it were, the result would be absurd.
What is the square root?A mathematical concept known as a square root is indeed a factor of a number that, when multiplied on its own, equal the original value. For instance, 3 and -3 are the cube roots of 9. Starting in the second millennium BC, the Babylonians created effective methods for approximating square roots.
Here,
In this case, The square root of 2 is "irrational" (cannot be expressed in a fraction) because, if It Could,
You Would Have the Nonsensical Situation That The Fraction Would Have Even Integer value
At Both The Top And Bottom And Could Therefore Always Be Simplified.
.
Therefore Because of this, the square root is 2 is "irrational" (cannot be written as a fraction) since, if it were, the result would be absurd.
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For which values of k the pair of equations KX 3y K − 3 and 12x Ky K have no solution?
K must be equal to 0, for the pair of equations to have no solution.
For the pair of equations KX + 3y - K = 0 and 12x + Ky - K = 0 to have no solution, the value of K must be such that the two equations have no common solution.
This can be done by equating the two equations and solving for K.
KX + 3y - K = 0
12x + Ky - K = 0
Subtracting equation (1) from equation (2)
11x + 3y = 0
Divide both sides by 3
x + y = 0
Therefore, K must be equal to 0, for the pair of equations to have no solution.
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Rami practices his saxophone for 56 hour on 4 days each week. How many hours does Rami practice his saxophone each week
This tells you he practiced for 3 2/6
How many hours does rami practice his saxophone each week?A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression.
We frequently have to understand a written phrase in order to write an expression. For instance, the notation x + 6 can be used to represent the phrase "6 added to some number," where x stands for the unknown value.
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)
Given,
you take 5/6 and multiply it by 4/1.
which gives you 20/6
then reduce it by dividing the top number by the bottom number
which gives you 3 with a remainder of 2
you then place the remainder over the
This tells you he practiced for 3 2/6
The complete question is :Rami practices his saxophone for 5/6 hour on 4 days each week.
How many hours does Rami practice his saxophone each week?
[] 2/[] Hr
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The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answer:
-4,-2,2
Step-by-step explanation:
look where line reaches zero
The numbers 176 and 342, written as the products
of their prime factors, are 176 = 24 x 11 and
342 = 2 x 32 x 19. Hence, find the smallest whole
number that is divisible by both 176 and 342.
The smallest whole number that can be divisible by both 176 and 342 is 30096.
To find out the least whole number that is divisible by two numbers, we have to find out the LCM. LCM is the least common multiple. This is done by factorization. We have to factorize both numbers. Prime factorization means we have to write the number as a product of prime numbers.
176 = 2×2×2×2×11= 2⁴× 11
342 = 2×3×3×19 = 2 × 3² × 19
According to the prime factorization method, we have to multiply the highest powers.
So LCM = 2⁴× 3²× 11 ×19
= 30096
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Samuel walked in the Labor Day parade. He walked 3 1/8 miles along the parade route and 2 5/6 miles home. For numbers 3a-3c, fill in each blank.
3a. Rounded to the closest benchmark, Samuel walked about. Miles on the parade route.
3b. Rounded to the closest benchmark, Samuel walked about. Miles home.
3c. Samuel walked about. Miles in all
3a) Rounded to the closest benchmark, Samuel walked about 3 Miles on the parade route.
3b) Rounded to the closest benchmark, Samuel walked about 2 Miles home
3c) Samuel walked about 5 Miles in all
We know that when rounding a fraction to the closest benchmark:
1) if the numerator is much smaller than the denominator, round a fraction to 0
2) if the numerator is about half the denominator, round a fraction to 1/2
3) if the numerator is nearly equal to the denominator, round a fraction to 1
Samuel walked 3 1/8 miles along the parade route.
Rounding to the closest benchmark a fraction 3 1/8 woule be
3 1/8
= 3
This means, he walked about 3 Miles on the parade route.
Samuel walked 2 5/6 miles home.
Rounding to the closest benchmark a mixed fraction 2 5/6 woule be
2 5/6
= 2
This means, he walked about 2 Miles homes.
The total distance would be,
d = 3 + 2
d = 5 miles
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A fifth grader takes a standardized achievement test (mean = 125, standard deviation = 15) and
scores a 148. What percent of children made higher than a 148?
the child's percentile rank is 93 th percentile. It means he performed better than [tex]$93 \%$[/tex]of the total number of students.
What is Percentile rank?When compared to other students in the same grade and topic, for instance, a student's percentile rank shows how well they performed. The percentile rank of a student indicates whether their score was on par with or higher than that of the norm group's percentage of pupils. In statistics, the percent of scores in a frequency distribution that are lower than a specific score is known as the percentile rank of that score. A percentile rank returns a numerical value, which really indicates the proportion of people who fall inside that range. Since it is a percentile, its range is always between 1 and 99, with 50 serving as its mean or average rank. Only normalized values or data are ever usable in this fashion.- Mean, $\boldsymbol{\mu}=125$.- Population standard deviation, $\sigma=15$.- Marks obtained by child $(X)=148$Need to find the percentile rank for child's score.
Let[tex]$\mathrm{X}$[/tex]denote marks obtained by the child in the achievement test.
The [tex]$\mathrm{Z}$[/tex]value is given as,
[tex]$$Z=\frac{X-\mu}{\sigma}$$[/tex]
Using equation (1), the required percentile rank for child's score is expressed as,
[tex]& Z=\frac{148-125}{15} \\[/tex]
[tex]& Z=1.533[/tex]
The probability value corresponding to the Z=1.533, obtained from the Z table is 0.93736.
Thus, the percentile is 0.93736.
Therefore, the child's percentile rank is 93 th percentile. It means he performed better than [tex]$93 \%$[/tex]of the total number of students.
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Simplifying algebraic expressions
Answer:
-8
Step-by-step explanation:
7-6x+3x
You have to replace x for a 5.
7-6(5)+3(5)
After this you would multiple all of it.
7-30+15
Then add
7+15=22
-30+22=-8
Answer:
[tex] \sf \: 7 - 6x + 3x = - 8[/tex]
Step-by-step explanation:
Now we have to,
→ find the value of expression.
The expression is,
→ 7 - 6x + 3x
→ using (x = 5)
Let's solve the expression,
→ 7 - 6x + 3x
→ 7 - 6(5) + 3(5)
→ 7 - 30 + 15
→ 7 - 15
→ -8 => final answer
Hence, the answer is -8.
A yearbook page will show 20 photos displayed in rows. Each row must contain the same number of photos. How many different ways can the photos be arranged?
A traditional yearbook should have a few pages for the school's administrators, faculty, and other staff members, class or student portraits, several pages for clubs, teams, or other group photos, a section for special awards & superlatives, event pages typically with a collage of school events, and graduating class.
What pages are in a yearbook?Despite possible differences in size and appearance, school yearbooks all have a similar structure and content makeup. A school yearbook is essentially a "memory book" that emphasizes the pupils, teachers, and activities that took place during the academic year.
Additionally, yearbooks give kids the chance to request the autographs of their friends and professors and give them a place to write personal notes, "inside jokes," and other remarks. Overall, a yearbook gives students a tangible memento of the academic year.
The only thing we are doing is dividing if we require that all of the rows be equal.
20/1= 20
20/2= 10
20/4=5
20/5=4
20/10=2
20/20=1.
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What is the solution to the pair of simultaneous equations 2x y 5 3x 2y 4?
The solution to the pair of simultaneous equations 2x + y = 5 and 3x - 2y = 4 is (2, 1).
A system of linear equations is a set of two or more equations which includes common variables. The solution to a system of equations, is the value of the unknown variables used in the equations that satisfies both equations.
Given two linear equations in x and y,
2x + y = 5 (equation 1)
3x - 2y = 4 (equation 2)
Use substitution method to find its solution. Express the first equation as y in terms of x and substitute the value of y to the second equation.
2x + y = 5 (equation 1)
y = 5 - 2x
3x - 2y = 4 (equation 2)
3x - 2(5 - 2x) = 4
3x - 10 + 4x = 4
Combining all terms containing the variable x on one side and the constants on the other side of the equality, and solve for x.
3x - 10 + 4x = 4
7x = 14
x = 2
Substitute the value of x in the first equation and solve for y.
y = 5 - 2x
y = 5 - 2(2)
y = 5 - 4
y = 1
Hence, the solution of the given system of equations is (2, 1).
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could one side length of a function ever produce two different perimeters?
Answer: A perimeter is the total length of all the sides of a polygon. It is calculated by adding up the lengths of all the sides of the polygon. For a polygon with distinct and non-overlapping sides, each side length contributes exactly once to the perimeter. So in such case, a side length of a polygon can never produce two different perimeters.
However, it's worth mentioning that, one side length of a function could be a side of a polygon and the other could be a side of another shape. Also, it's possible that a single side length of an object is connected to a different set of side length, generating different perimeters.
For example, the length of an arc of a circle can be considered as a "side length" of the circle and it can be used to calculate both the perimeter of the arc and the circumference of the full circle, which are different measurements.
Also, a circular pool has a radius, but it's perimeter is the circumference, and this length is produced by the same radius but it's a different perimeter from the length of the radius.
In summary, a side length can produce different perimeter if we are talking about different shapes and measurements.
Step-by-step explanation:
The entrance fee for the carnival is $7and the cost for a ticket for a
ride is $.25.
a. Write an equation for the total cost (C) if you go to the carnival
and ride r number of rides.
b. What is the total cost if you ride 15 rides?
Answer:
Step-by-step explanation:
Consider the following:
a) y=0.25x+7
b) $10.75
Explanation:
a)
y=mx+b is the slope-intercept form.
B is our Y intercept meaning any fee or initial charge that adds to total cost. In this situation, the initial fee of $7 is our Y-Intercept. . Our mx is the slope. A slope increases based on the amount (x) of certain things you have. In this situation, you are buying maybe 1, 2 or 3 tickets and each ride costs $0.25.
Our x remains the same, that is where we plugin the amount of tickets we will buy (x). The M value is the price per ticket which as said, is $0.25 per. Our slope therefore will be 0.25x.
Combining our Y-Intercept and our Slope will leave us with y (total cost) = 0.25x + 7
b)
We have found our slope, 0.25x+7
Now, we have to plugin our number of rides (x) which is 15.
If done correctly it should be 0.25(15)+7 and that is equal to $10.75 for 15 rides.
A large rectangular box has a volume of 15. 75 cubic feet the box is 2. 5 feet long and 1. 5 feet wide what is the height of the box
A large rectangular box has a volume of 15. 75 cubic feet the box is 2. 5 feet long and 1. 5 feet wide. So the height of the box is 4.2 feet.
The formula to find the volume of a rectangular box is
V = lwh
where l is the length, w is the width, and h is the height.
Given that the volume of the box is 15.75 cubic feet, the length is 2.5 feet and the width is 1.5 feet, we can use the formula to find the height.
V = lwh
15.75 = 2.5 × 1.5 × h
h = 15.75/ (2.5 × 1.5)
h = 4.2
Therefore, the height of the box is h = 4.2 feet
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Can u please help............
Answer:
-2 in the first box
2 in the second box
In other words, the circumcenter is located at (-2, 2). Do not type in the parenthesis.
======================================================
Explanation:
Points A and C are (2,-3) and (-6,-3) in that order.
Use the midpoint formula to find that M = (-2,-3) is the midpoint of segment AC. It is halfway between these endpoints.
The perpendicular bisector to segment AC is x = -2
The perpendicular bisector goes through the midpoint, and it is perpendicular to segment AC.
-----------------------
Points A and B are (2,-3) and (2,7) respectively.
The midpoint is at N = (2,2)
The perpendicular bisector of segment AB is the equation y = 2.
------------------------
We found the following:
The perpendicular bisector to segment AC is x = -2The perpendicular bisector to segment AB is y = 2Therefore, the circumcenter is located at (-2, 2) as the circumcenter is located at the intersection of the perpendicular bisectors.
The diagram is shown below. As the diagram shows, the circumcenter marked in red is the center of the circle that goes through points A, B, and C.
Side note: The circumcenter is located on the midpoint of the hypotenuse of any right triangle. See Thales theorem.
What is the product of 5/8 and 4?
We can calculate the product of 5/8 and 4 to be 5/2 using multiplication.
What is multiplication?Multiplication is one of the four basic mathematical operations, along with addition, subtraction, and division.
The result of a multiplication operation is a product.
There are four different methods for multiplying: addition, long multiplication, grid multiplication, and drawing lines.
So, we have:
5/8 and 4
5/8 is in the form p/q which represents the fraction that must be multiplied by 4.
Now, calculate the product as follows:
5/8 * 4
5/2
Therefore, we can calculate the product of 5/8 and 4 to be 5/2 using multiplication.
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Select all the pairs of operations that have inverse relationships.
The pairs of operations that have inverse relationships are subtraction and addition and multiplication and division. The correct options are A and D.
What are algebraic operations?Any of the common arithmetic operations, such as addition, subtraction, multiplication, division, raising to a whole number power, and taking roots, are considered basic algebraic operations in mathematics (fractional power).
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The inverse operations can be subtraction and addition and multiplication and division.
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Data was collected for 40 randomly selected honey bee hives on a farm: The number of parasites found in each hive was recorded: The data is summarized in the histogram below. 10 [ 10 15 20 25 30 35 40 45 50 parasites in hive What is the maximum possible number of parasites for the class containing the value 27? Note: Each class contains its lower class boundary, but not its upper class boundary. maximum =
The maximum possible number of parasites for the class containing the value 27 is 29
The data for 40 randomly selected honey bee hives on a farm is summarized in the histogram below.
From given histogram we have the classes as:
10 - 15, 15 - 20, 20 - 25, 25 - 30, 30 - 35, 35 - 40, 40 - 45, 45 - 50
To find: the maximum possible number of parasites for the class containing the value 27
The class that contains the value 27 is 25 - 30
Given that each class contains its lower class boundary, but not its upper class boundary.
So, the maximum possible number of parasites for the class containing the value 27 would be 29 as 30 is not part of class 25 - 30
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How many non-congruent squares can be drawn, such that their vertices are lattice points on the 5 by 5 grid of lattice points shown
9 non-congruent squares can be drawn.
What is non-congruent squares?Non-congruent squares are two squares with different side lengths. These two squares can be drawn separately and still have four right angles and four equal sides, but the lengths of the sides are not the same. Non-congruent squares are a type of quadrilateral and have both diagonals and parallel sides. These shapes can be used to create a variety of geometric designs and patterns, and often appear in art and architecture.
Each of the four corners of the 5 by 5 grid can be the vertices of a square, and the middle of each side of the 5 by 5 grid can be the vertices of a square. This makes eight non-congruent squares in total. Additionally, the center point can be the vertex of another non-congruent square, making nine in total. All of these squares are constructed from lattice points, and none of them are congruent to each other.
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Write an equation using the explicit formula to represent each graph or scenario then rewrite the formula in function form
On solving the provided question, we can say that - here in graph Between the lowest number, which is 0, and the highest value, which is 5, there is a range. The range is therefore -9=y=5.
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
There is a range between the minimum value, which is 0, and the greatest value, which is 5. Thus, the range is -9=y=5.
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Why is it called a 45 45 90 triangle?
A right triangle with congruent legs and acute angles is an Isosceles Right Triangle.
A special right triangle is a right triangle that has a consistent characteristic that facilitates calculations on the triangle or for which straightforward formulas are available.
Angles in a right triangle, for instance, might create straightforward connections like 45°-45°-90°. An "angle-based" right triangle is what this is. When the side lengths of a right triangle form ratios of whole numbers, such as 3:4:5, or other unusual numbers, like the golden ratio, the triangle is said to be "side-based."
Without using more complex techniques, one can rapidly determine different lengths in geometric problems by understanding the relationships between the angles or side ratios of certain particular right triangles.
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Which graph represents the equation y equals one half times x minus 1?
graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1
graph of a line passing through the points negative 2 comma 0 and 0 comma 1
graph of a line passing through the points negative 2 comma negative 3 and 0 comma negative 2
graph of a line passing through the points negative 4 comma 0 and 0 comma 2
The correct graph which represents the equation y = 1/2x - 1 is,
⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ y = 1/2x - 1
Now, After draw the equation we get;
Graph of a line passing through the points (-2, - 2) and (0, - 1).
Thus, The correct statement is,
⇒ Graph of a line passing through the points negative 2 comma negative 2 and 0 comma negative 1.
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Set builder notation integers between 7 and 50
Answer:
[tex]\{x|x\in \mathbb{Z}, 7 < x < 50\}[/tex]
Step-by-step explanation:
Basically, the above answer tells us that the set of all x such that x belongs to Z, the set of integers, and x is between 7 and 50.
Select the correct answer.
What is the reaction quotient for the following reaction; AB + 2C?
Q = [B][C], ²
[A].
OA.
OB.
O C. Q=
Q = BIC
[A].
OD. Q=
[A]
[B].[C].2
[A],
[B]. [C].
Slope Sales will be $-159.474 at 0 degrees Celsius, which is nonsensical to understand.
what is slope?A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).
given information,
Temperature=20 egression equation,
[tex]sales= 442.284\\ Slope=$ 30.0879[/tex]
temperature increases by 1 degree
$30.0879, on average.
[tex]y-intercept= -159.474[/tex]
At 0 degree celsius of temperature, Sales will be [tex]$-159.474[/tex]which is meaningless to interpret.
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Point P is the centroid of △ABC and BD⊥AC. Find the following:
1. Find PD.
2. Find AP.
3. Find FC.
4. Find AC.
5. Find the perimeter of △BDC
Therefore , the solution of the given triangle comes out to be AC = 10 units and PD = 6 units.
Triangle definitionTriangles, which have three sides and three angles, can be made by joining any three points in a plane. They are among the earliest geometric shapes to be studied. Triangles are especially important since they may be divided into each polygon, whether it has four, five, six, or n sides.
Here,
Let AD and DC are 2x and x respectively.
We have, BC = 10 units
=> 2x =10
=> x = 10/2
=> x= 5
Now ,
=> AP + PF = 8 + y
=> 8 + y = 12
=> y =4
Therefore , the solution of the given triangle comes out to be AC = 10 units and PD = 6 units.
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A frictionless pendulum is pulled 3 feet to one side of its center resting point…
A. The amplitude of the sinusoidal function 's' would increase.
B. The midline of the sinusoidal curve will upshift.
What is a periodic function?A function that repeats its values at regular intervals is said to be periodic. For instance, periodic functions include trigonometric functions, which repeat every 2 pi radian. In science, periodic functions are used to describe oscillations, waves, and other periodic events. Aperiodic refers to any nonperiodic function.
We are aware that a periodic function can be used to graph the pendulum's movement mechanism.
A. The pendulum will rise higher on both sides as it is drawn farther away from its resting point; this will result in an increase in the sinusoidal curve's amplitude.
B. The midline of the sinusoidal curve would rise up along the y direction as a result of an increase in magnitude if the pendulum was drawn further away from its resting point.
learn more about periodic functions here :
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A plumber charges $80 for a house call and $20 per hour for labor. If the plumber worked from 2:30 pm to 8:00 pm, how much does he earn?
Answer:
The plumber would earn $190 in 5 hrs and 30 mins
Step-by-step explanation:
- We know the plumber worked from 2:30-8:00 which is 5 hrs and 30 min [5.5 hrs]
- We know the plumber charges the client $80 for the call and $20/hr for the work
1. I multiplied $20 x 5.5= $110+80=$190
or you could just do 100 x 5.5 [but it would it work since the plumber is charging per hour]
Have a great day, hope this helped <3
How many terms are there in the expression 2p3 3p2 4p 7 *?
Answer: 4
Explanation:
In Algebra a term is either a single number or variable, or numbers and variables multiplied together.
Terms are separated by + or − signs, or sometimes by divide.