jim sells cars for a living in 3 months he sells 24 cars which option below shows a proportional relationship
A:Selling 2 cars in 1 month
B:Selling 5 cars in 1 month
C:Selling 16 cars in 2 months
D:Selling 94 cars in 1 year
The option that shows a proportional relationship is selling 94 cars in 1 year (option D)
What is proportional?Two numbers or elements are said to be proportional if they have the same ratio. In this case, the ratio is 24 cars every 3 months, which can be simplified as 8 cars per month.
What option shows a proportional ratio?Based on this ratio, the option that is proportional is selling 96 cars in a year because this will means 96 cars in 12 months and 96/12= 8, which shows the ratio is the same.
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Rewrite the equation 4x + 5x^2 -7x in standard form and identify a, b, c
the equation 4x + 5x^2 -7x in standard form will be 5x² -3x and The value of a, b, and c will be 5, -3, and 0
What is a Quadratic equation?ax²+bx+c=0, with a not, equals 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
Given a quadratic equation 4x + 5x^2 -7x
From the Standard form of a quadratic equation:
ax²+bx+c=0
In our case,
=> 4x + 5x^2 -7x
=> 5x² -3x
Comparing both equations we get the:
z = 5
b = -3
and c = 0
Therefore, the equation 4x + 5x^2 -7x in standard form will be 5x² -3x and The value of a, b, and c will be 5, -3, and 0.
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What is the difference between the area of Figure A and the
area of Figure B? Each grid square represents 1 square foot.
The difference between the area of Figure A and the area of Figure B is 2ft, So correct option is A.
What do you mean by grid?A square grid is a two-dimensional pattern formed by a series of equally spaced horizontal and vertical lines that intersect at right angles, creating a regular array of squares. It can be thought of as a flat, two-dimensional lattice with a consistent spacing between the lines. A square grid can be used to represent many things, such as a map, a game board, a city plan, or a spreadsheet. In mathematics and geometry, a square grid is often used to represent coordinate systems, where each intersection of horizontal and vertical lines corresponds to a specific point with a unique set of coordinates. Square grids are also used in graphic design and art as a foundation for creating patterns, textures, and compositions.
The area of A= 3×4= 12 ft
The area of B= 4×3×1/2×4×2×1/2= 10 ft
12ft - 10 ft= 2ft
Cut down the triangle on the right of figure A, move it to left to form a rectangle, and then calculate the area of A.
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The complete question is:
Which of the following is the graph
Option A : The circle represented in the third quadrant has the centre lying at (-3, -1)
What is equation of a circle ?The location of a circle in the Cartesian plane is represented by a circle equation. We can construct the equation for a circle if we know the location of the circle's center and how long its radius is. All of the points on the circle's circumference are represented by the circle equation.
The group of points whose separation from a given point has a constant value are represented by a circle. The radius of the circle, abbreviated r, is a constant that describes this fixed point, which is known as the circle's center. The equation (x- x₁)²+(y-y₁)²=r²describes a circle with a center at (x₁,y₁) and a radius of r.
There are different forms to represent the equation of a circle :
General formStandard formParametric formPolar formThe equation of the circle is
(x + 3)² + (y + 1)² = 9
The centre of the circle will be at (-3, -1) from the equation .
Option A :The circle represented in the third quadrant has the centre lying at (-3, -1)
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eBook
Show Me How
Double-Declining-Balance
Depreciation
A building acquired at the beginning of the year at a cost of $107,600 has an estimated residual value of $4,300 and an estimated useful life of 4 years.
Determine the following.
(a) The double-dedining-balance rate
(b) The double-declining-balance
depreciation for the first year
%
a) The double-declining-balance rate is 0.5 or 50%.
b) The double-declining-balance depreciation for the first year is $53800.
What is depreciation?
Depreciation is an accounting procedure that allows a business to distribute an asset's cost over the course of its useful life. In other words, it keeps track of how an asset's value decreases over time. In order to better align an asset's productivity in use to its operating costs over time, businesses depreciate assets on their financial statements and for tax purposes.
The formula of the double-declining-balance rate is 2 × (1/useful life)
Given that the building acquired at the beginning of the year at a cost of $107,600 has an estimated residual value of $4,300 and an estimated useful life of 4 years.
The double-declining-balance rate is
= 2 × (1/4)
= 0.5
= 50%
The double-declining-balance depreciation for the first year is
$107,600 × 50%
= $107,600 × (1/2)
= $53800
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Solve the system of linear equations by graphing.y=2x+5 y=1/2x−1 can someone help with this and show the graph that would be helpful thanks.
The graph of the system of equations can be seen on the last image, there we can see that the solution is (-4, -3).
How to solve the system of equations graphically?To do so, we just need to graph both equations no the same coordinate axis, and then find the point where the graphs intercept (if they do).
That point will be the solution of the system of equations.
Here the system is:
y = 2x + 5
y = (1/2)*x - 1
And the graph of the equations can be seen below. There we can see that the lines intercept at (-4, -3), so that is the solution.
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This would be the third time I got this wrong pls help
Answer:
[tex]3 {x}^{4} - 6 {x}^{3} - 21 {x}^{2} - 2x + 8[/tex]
Step-by-step explanation:
One root being i, an imaginary number is throwing me off.. but I can give it a shot if youd like.
So a coefficient is the number Infront of the X. so for 6X^2, the coefficient is 6.
It says the Leading Coefficient is 3. The one option for that is 3x^4, so that will be the in the first blank.
The exponents now (the little numbers) start with 4 and go down 1 after each block. Which means the last two blocks will have no little numbers since it would be 1 and 0. Those don't need exponents.
For the block after the 21x^2, we have two choices. Either 6x or 2x
For the last block we have two choices also.
8 or 24
To find if it's 6x or 2x...
Its showing roots of -2, i, and 4 with multiplicity of 1, which means
x^2-4x+2x+8
x^2-2x+8
We have 2x and 8
Those must be the other two blocks
One quart is approximately equal to 0.95 liter. To convert quarts to liters, which operation should you use? Why?
A. addition; there is about 0.95 liter in 1 quart. Add when converting smaller units to larger units.
B. Division; there is about 0.95 liter in 1 quart. Divide when converting smaller units to larger units.
C. Multiplication; there is about 0.95 liter in 1 quart. Multiply when converting larger units to smaller units.
D. Subtraction; there is about 0.95 liter in 1 quart. Subtract when converting larger units to smaller units.
The operation you would use is multiplication; there is about 0.95 liter in 1 quart. Multiply when converting larger units to smaller units. (option C).
What is multiplication?Multiplication is the operation that is used to determine the product of two or more numbers. The sign that is used to denote multiplication is ×. Multiplication is one of the operations in maths. Other operations in mathematics ae addition, division and subtraction.
1 quart = 0.95 liters
In order to convert 100 quart to liters, multiply 100 by 0.95
0.95 x 100 = 95 liters
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Write down the correct Subject Pronoun Requested in Spanish first then in English.
Primera persona plural femenina - First person plural feminine
The subject pronoun requested would be they and in Spanish would be "ellas".
What pronouns are feminine in Spanish?In the Spanish language, there are two feminine pronouns that are often used as subjects in sentences, these pronouns are:
Ella - This is a singular pronoun equivalent to she
Ellas - This is a plural pronoun equivalent to "they", but again it is exclusively used for feminine nouns such as a group of women.
Based on this, the pronoun you are looking for is the pronoun "ellas", here is an example of how to use it: Ellas son amables.
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If f(x) is a function which is continuous everywhere then we must have m= ?
The function is continuous only if m = 7.
How to find the value of m?If the function is continue, then the value of the function needs to be the same one in both pieces of the function when we evaluate in x = -2
That means that:
f(-2) = f(-2) (trivially)
Replacing the two pieces of the function we will get:
m*(-2) - 6 = (-2)^2 + 10*(-2) - 4
now we can solve that equation for m.
-2m - 6 = 4 -20 - 4
-2m = -20 + 6 = -14
m = -14/-2 = 7
m = 7
that is the value of m.
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3. Find the slope between
the two given points. Find
the y-intercept and write the
equation of the line
(-2, 10),(-2,- 15)
Answer:
Step-by-step explanation:
The slope of a line can not be found between two points with the same x-coordinate, as division by zero is undefined. Hence, the line defined by the points (-2,10) and (-2,-15) is a vertical line and has no slope.
The y-intercept of a line is the point at which the line intersects the y-axis, i.e., the value of y when x=0. A vertical line does not intersect the y-axis, hence it has no y-intercept.
Since the line has no slope or y-intercept, its equation can not be written in the standard form of y = mx + b, where m is the slope and b is the y-intercept. Instead, the equation of the line can be written as x = constant, where constant is the x-coordinate of the points on the line, i.e., x = -2.
Match the polynomial on the left with the appropriately factored expression on the right.
x² + 6x +9. x²-9
(x - 3)(x-3)
(x-3)(x + 3)
(x+3)(x + 3)
3(x+3)(x + 3)
The polynomial x² + 6x + 9 can be factored as (x + 3)(x + 3).
What is polynomial?
The term "polynomial" in mathematics refers to a mathematical expression that consists of two or more algebraic terms that are added, subtracted, or multiplied (no division!). Constants and positive exponents are frequently used, along with at least one variable, in polynomial expressions. Polynomial definition: x2 = 4x + 7
A polynomial is an equation made up of indeterminates and coefficients that only uses addition, subtraction, multiplication, and positive-integer powers of variables.
The polynomial x² + 6x + 9 can be factored as (x + 3)(x + 3).
Therefore, the correct match is:
x² + 6x + 9 ------> (x + 3)(x + 3)
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A plant is already 41 centimeters tall, and it will grow one centimeter every month. The plant's height, H (in centimeters), after m months is given by the following.
H=41 + m
What is the plant's height after 22 months?
Answer:902
Step-by-step explanation:
41×22=902
7. Use coordinate geometry to find the perimeter and area of a polygon.
Part I: The coordinate grid below displays the stakes and wickets of the croquet
course. Sonja warmed up by putting her ball down at wicket 2. She then hit it through
wicket 9, then wicket 8, then wicket 5, then wicket 3, and finally back to wicket 2. On
the coordinate grid, draw the path of Sonja's ball. (5 points)
feet
y
70
60
50
40
30
20
(15,43)
9
(16,18)
(37,65)
8
●
(40,42)
Stake B
(70,72)
171
(66,68)
(62,64)
●3
(63.19)
On solving the provided question, we can say that Make a table with the x,y coordinates of each vertex.
what are coordinates?A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.
Make a table with the x,y coordinates of each vertex.
Vertical left side of the table A ,B,C D.. A again (From top to bottom)
Horizontal top of the table : x,y( From left to right)
Start at any vertex and go around the polygon in either direction.
Add the starting vertex again at the end.
Combine the first two rows by:
Multiplying the first row x by the second row y
Multiplying the first row y by the second row x
Subtract the second product form the first.
Repeat this for rows 2 and 3, then rows 3 and 4 and so on.
Add these results, make it positive if required, and divide by two.
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In a group of 24 students attending a party, the average age is 25.3 years. A 27-year-old student joins the party.
The new average of the students is 25.368.
What is the average?In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
Given that, in a group of 24 students attending a party, the average age is 25.3 years.
A 27-year-old student joins the party.
So, the new average is (24×25.3+27)/25
= 634.2/25
= 25.368
Therefore, the new average of the students is 25.368.
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Consider the complex number -i√5.
What is the imaginary part?
The Imaginary part is [tex]& \frac{-5 \sqrt{3}-2}{4}[/tex]
What is complex number?A complex number can be represented in the form a + bi, where a and b are real numbers. A complex number is a part of a number system that extends the real numbers by adding an element designated by the symbol.Mathematical Complex Numbers. Complex numbers are those expressed as a+ib, where a, b are real numbers and I is a fictitious number called a "iota." I is equal to (-1). A complex number is, for instance, 2+3i, where 2 is a real number (Re) and 3i is an imaginary number (Im).Real and imaginary components are combined to form complex numbers, which have two elements. The foundation of more complex mathematics, like algebra, are complex numbers. They are applicable to a wide range of real-world situations, particularly in the fields of electronics and electromagnetism.[tex]& \frac{5+2 i}{-1+\sqrt{3} i} \times \frac{-1-\sqrt{3} i}{-1-\sqrt{3} i} \\[/tex]
[tex]& =\frac{-5-5 \sqrt{3} i-2 i+2 \sqrt{3}}{4} \\[/tex]
[tex]& =\frac{-5+2 \sqrt{3}}{4}+i\left(\frac{-5 \sqrt{3}-2}{4}\right) \\[/tex]
Imaginary part
[tex]& \frac{-5 \sqrt{3}-2}{4}[/tex]
The complete question is,
Find the imaginary part of 5+2i/-1+√3i
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The complex number -i5 has -i5 as its imaginary component.
What is the imaginary part in given terms?The given complex number is -i√5, which can be written as:-i√5 = 0 - i√5The imaginary part of the complex number is -i√5.Here's a step-by-step explanation:A complex number having the real part and the imaginary part.The real part is the coefficient of the real unit (i.e., 1), while the imaginary part is the coefficient of the imaginary unit (i.e., i).In this case, the given complex number is -i√5.We can write this as 0 - i√5, where 0 is the real part and -i√5 is the imaginary part.Therefore, the imaginary part of the complex number -i√5 is -i√5.
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Find the slope of the line.
Write answer as an integer or a reduced fraction.
Do NOT use 1 as a denominator!
A line running through the points (2, 0) and (0, 4) has a slope of -2.
Finding the slope of a lineThe slope of a line is defined as the change in y-axis of the line to the x-axis. Mathematically, it is expressed as:
Slope = Δy/Δx
Using the coordinate points (2, 0) and (0, 4) to determine the required slope:
Slope = 4-0/0-2
Slope= 4/-2
Slope = -2
Hence the slope of the line passing through the point (2, 0) and (0, 4) is -2
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You handle schedules for a department store. On average, seven cashiers and ten floor assistants can take care of 84 customers per hour in a ten hour day. Tomorrow is a holiday and the store managers are expecting 2940 customers due to a mailing. If the cashiers work in five hour shifts and floor assistants work in ten hour shifts, how many employees will need to work tomorrow?
Answer:
the total number of employees needed is 35 cashiers + 100 floor assistants = 135 employees.
Step-by-step explanation:
May you help me please with this homework for Math?
The the vertices of reflected square, Q'R'S'T are Q' = (3, 1), R' = (-8, -2), S' = (-7, -7) and T' = (-2, -6)
What is reflection?A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.
Given that, a square QRST with vertices Q(-3, 1), R(8, -2), S(7, -7) and T(2, -6)
is reflected across y-axis, to form Q'R'S'T we need to find the vertices of reflected square.
We know that, rule of reflection over y-axis,
(x, y) → (-x, y)
Q' = (3, 1)
R' = (-8, -2)
S' = (-7, -7)
T' = (-2, -6)
Hence, the the vertices of reflected square, Q'R'S'T are Q' = (3, 1), R' = (-8, -2), S' = (-7, -7) and T' = (-2, -6)
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x4 -3x + 1, 4x 2 - 2x + 8, and x 3 - 9
The sum of given polynomial is x⁴+x³+4x²-5x-8.
What is addition of algebraic expression?Addition of Algebraic Expressions is the process of collecting like terms and adding them. Identify and add the coefficients of like terms and sum them to find the final expression of given problems.
The given polynomials are x⁴-3x + 1, 4x²-2x+8, and x³-9.
Here, x⁴-3x + 1+4x²-2x+8+x³-9
= x⁴+x³+4x²-3x-2x-9+1
= x⁴+x³+4x²-5x-8
Therefore, the sum of given polynomial is x⁴+x³+4x²-5x-8.
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"Your question is incomplete, probably the complete question/missing part is:"
Add the following polynomials, then place the answer in the proper location on the grid. Write your answer in descending powers of x.
x⁴-3x + 1, 4x²-2x+8, and x³-9
How can coordinate in geometry be used to write equations of lines? (10 points)
How can coordinate geometry be used to prove general relationships about quadrilaterals? (10 points)
How can coordinate geometry be used to prove general relationships about rhombus? (10 points)
1) In geometry, the coordinate is used as to write the equations of lines as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
2) By showing that the opposite sides of the quadrilateral are congruent.
3) To prove the figure is a rhombus you must verify that all sides are the same length.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
1) Let two points on the line are (x₁ , y₁) and (x₂, y₂).
Then, The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
2) We know that;
Opposite angles in a quadrilateral are congruent, and Parallel lines have congruent corresponding angles.
Hence, In coordinate geometry, By showing that the opposite sides of the quadrilateral are congruent.
3) In coordinate geometry, To prove that it is a rhombus, remember that the definition of a rhombus is a quadrilateral with four congruent sides. Therefore, to prove it is a rhombus you must verify that all sides are the same length.
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In the figure, AABC~ ADEF. If AP and DQ are altitudes, AP= 6, DQ = 10, and DE = 12, what is AB?
AB=
B
E
D
(Express your answer as a decimal.)
Answer:
If AP and DQ are altitudes, AP= 6, DQ = 10, and DE = 12, then AB = 8.
Step-by-step explanation:
I have attached the screen shot of the problem
Answer:
(7x+3)
Step-by-step explanation:
f(x)=1/x to g(x)=1/5x transformation
The transformation from the function f(x)=1/x to g(x)=1/5x can be achieved by multiplying the input value x by 5.
f(x)=1/x becomes g(x)=1/(5x) after the transformation
What is mathematical transformation?A mathematical transformation is a function that maps one set of values (input) to another set of values (output) based on a set of rules or operations. Transformations can be used to manipulate geometric figures, to change coordinate systems, to map one image to another, and more. Common examples of mathematical transformations include translation, rotation, scaling, and reflection.
It could then be concluded that the transformation is achieved by multiplying the input value x by 5.
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The complete question goes thus:
Describe the f(x)=1/x to g(x)=1/5x transformation
Santiago wants to walk at least 500 miles before the end of this year. He has already walked 437'miles, and there are 36 days left in the year. Which inequality can be used to find x , the number of miles he should walk each day to meet his goal?
The required inequality is 437 + 36x ≥ 500, where x is the number of miles he should walk each day to meet his goal.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
Given,
His trip length was 437 miles, and he had 36 days left.
If x is the number of miles covered each day, then the remaining miles to
Then the remained miles to cover = number of days remained × miles covered in each day
Thus, his trip length = already completed miles + remaining miles
= 437 + 36x
As per the question,
Total miles ≥ 500 miles
⇒ 437 + 36x ≥ 500
Thus, the required inequality is 437 + 36x ≥ 500.
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A square pyramid is shown with a base length of 4 inches and a slant height of 10 in
A .36in2
B.96in2
C.160in2
D.176in2
The area of the square pyramid with the height of the triangular faces of 10 inches and the side length of the square base of 4 inches is 96 square inches. The correct option is therefore;
B. 96 in²
What is the surface area of a figure?The surface area is the area or extent covered by the outer faces or boundary enclosures of the figure.
The description of the shape in the figure = Square pyramid
Side length of the square base of the square pyramid = 4 inches
Base length of the triangular slant faces = Side length of the square base = 4 inches
Height of the triangular faces = 10 inches
The surface area of the square pyramid is therefore;
Sum of the area of the four triangular faces + Area of the square base
Area of one triangular face = (1/2) × 4 × 10 = 20
Area of the square base = 4 × 4 = 16
The total surface area of the square pyramid is therefore;
A = 4 × 20 in² + 16 in² = 96 in²
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Frederick deposit 1050 into account that pays 5.1% annual interest compounded daily enter an equation to represent Fredericks account balance after t years
Answer:
The equation to represent Frederick's account balance after t years is:
A = 1050 * (1 + (0.051/365))^(365t)
Where A is the account balance and t is the number of years.
Add the polynomials 6x+2 +6x-5
Answer: The answer is 12x-3
Four more than twice a number is equal to ten.
Answer:
2,6,7,8,9 because if doubled it should equal more than ten
3.6= − a/0.8 − 1.6 − 0.8 a −1.6
The value of a for the given expression will be -3.31.
What is an expression?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.
Given that the expression is 3.6= − a/0.8 − 1.6 − 0.8 a −1.6. The value of a will be calculated as below,
3.6 = − a/0.8 − 1.6 − 0.8 a −1.6
3.6 + 1.6 + 1.6 = -a / 0.8 - 0.8a
6.8 = ( -a - 0.64a ) / 0.8
5.44 = -1.64a
a = -3.31
Therefore, the value of a will be -3.31.
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