The car loses all of its marketable value after 9 years, the x-intercepts represent the points at which the car has lost all of its value, so they are (9, 0) and (0, 22995).
The depreciation equation for the car can be represented as y = mx + b, where y is the value of the car at time x, m is the slope of the line, and b is the y-intercept.
To find the slope, we can use the information that the car loses all of its marketable value after 9 years. The market value of the car will be 0 after 9 years, so we can set y = 0 when x = 9:
0 = m * 9 + b
To find the y-intercept, we can use the information that Jason purchased the car for $22,995. This means that the value of the car at time 0 was $22,995, so we can set y = 22,995 and x = 0:
22,995 = m * 0 + b
Combining these two equations, we can solve for m and b:
0 = m * 9 + b
22,995 = m * 0 + b
b = 22,995
Now that we have found the y-intercept, we can use it to find the x-intercepts by setting y = 0 and solving for x:
0 = m * x + 22,995
0 - 22,995 = m * x
-22,995 = m * x
x = -22,995 / m
Since we don't know the value of m, we can't find the x-intercepts directly. However, since the car loses all of its marketable value after 9 years, the x-intercepts represent the points at which the car has lost all of its value, so they are (9, 0) and (0, 22995).
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what is the tempature change of 15 to -9
Answer:
change in temperature = final - temperature
= -9°-15° = -24°C
part a: list three ways in which you can represent the expression, “for every 96 action/ adventure movies, there are 38 sci-fi movies to stream,” as a ratio. part b: explain why 96:38 is the same as 38:96
They both represent the same information - for every 96 action/ adventure movies, there are 38 sci-fi movies to stream. 96:38 and 38:96 are both equivalent ratios because they are inverse proportions of each other.
What is the inverse ?Inverse is the opposite of something. It can be used to describe the opposite of a mathematical operation, such as taking the reciprocal of a number, or the opposite of a logical statement, such as negating the statement. It can also be used to describe the opposite of an action, such as reversing a direction or undoing an action. Inverse can also be used to describe the opposite of an effect, such as the opposite of a physical reaction or the opposite of an emotional response. Inverse relationships can often be seen in nature, such as how a decrease in temperature results in an increase in pressure, or how an increase in the amount of light results in a decrease in the number of insects in a certain area.
a:
1. 96:38
2. 38:96
3. (96/38):1
b: 96:38 and 38:96 are both equivalent ratios because they are inverse proportions of each other. They both represent the same information - for every 96 action/adventure movies, there are 38 sci-fi movies to stream. The only difference is the order of the numbers, but the ratio remains the same.
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Calculate the tax for each taxable income of a head of household.
The income tax for each household are:
Household 1 = $113,775Household 2 = $1,09540Household 3 = $18,904.88Household 4 = $47,222.50Let's evaluate each household income tax cases:
Household 1
Taxable income = $400,000
Tax rate = $45,210 + 35% over $204,100
Income tax = $45,210 + 35% ($400,000 - $204,100)
Income tax = $45,210 + $68,565
Income tax = $113,775
Household 2
Taxable income = $10,954
Tax rate = 10% income
Income tax = 10% ($10,954)
Income tax = $1,095.40
Household 3
Taxable income = $108,962
Tax rate = $12,962 + 24% over $84,200
Income tax = $12,963 + 24%($108,962 - $84,200)
Income tax = $12,963 + $5,942.88
Income tax = $19,804.88
Household 4
Taxable income = $209,850
Tax rate = $45,210 + 35% over $204,100
Income tax = $45,210 + 35% ($209,850 - $204,100)
Income tax = $45,210 + $2,012.50
Income tax = $47,222.50
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A mason needs to purchase mortar mix for a retaining wall consisting of 640 blocks. The guidelines for this mix suggest that 12 bags are required for every 100 blocks. Assuming that he cannot purchase part of a bag, how many bags will he need?
The mason will need 77 bags of mortar mix for the retaining wall.
What is purchase?Purchasing is the process a business or organization uses to acquire goods.
To find out how many bags of mortar mix the mason needs
we need to calculate the number of bags required for 640 blocks.
The guidelines suggest that 12 bags are required for every 100 blocks, so for 640 blocks, we need:
12 bags * (640 blocks / 100 blocks) = 12 * 6.4 = 76.8
Since the mason cannot purchase part of a bag, he will need to round up to the nearest whole number of bags. In this case, 77 bags will be required.
So, the mason will need 77 bags of mortar mix for the retaining wall.
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find the geometric mean of 2 and 22
6.63324958071 is the mean of 2 and
Answer:
2 sqrt(11)
Step-by-step explanation:
To find the geometric mean of two numbers, take the square root
sqrt( 2*22)
sqrt(44)
sqrt(4*11)
2 sqrt(11)
Attached imagine to answer.
Answer:
A)7y-4xy
Algebraic expressions are just that expressions. No inequality signs or equations. That's what makes them special
Step-by-step explanation:
Solve the following system of inequalities graphically on the set of axes below.
State the coordinates of a point in the solution set.
y≥-x+3
y > 2x - 6
The graph of the inequality is added as an attachment and a solution is (1, 5)
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
y ≥ -x + 3
y > 2x - 6
The above expression is an inequality that implies that:
The inequality is a linear inequality
Next, we plot the graph
One of the points in the shaded region is (1, 5)
See attachment for the graph of the inequality
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The density of water is 1 gram per cubic centimeter. An object floats in the water if its density is less than water's density, and it sinks if its density is great than water's.
Suppose a ball with mass 90 grams is in the shape of a sphere with radius 4 centimeters. Will the ball sink or float in the water?
ROUND YOUR ANSWERS TO THE NEAREST HUNDRETH AND USE THE π BUTTON WHEN CALCULATING.
The sphere ball will not sink because it has a density of 0.34 g/cm³ which is lesser than density of water
What is density?Density is the substance's mass per unit of volume. The symbol most often used for density is ρ, although the Latin letter D can also be used. Mathematically, density is defined as mass divided by volume.
Density = mass/volume
volume of the sphere = 4/3 πr³
= 4/3 × 3.14 ×4³
= 803.84/3
= 267.95 cm³
Density of the sphere = 90/267.95
= 0.34 g/cm³( nearest hundredth)
Therefore the sphere will not sink because it's density is lesser than that of water.
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How many liters are in 9 quarts
Answer: 8.5 L
Step-by-step explanation: I looked it up l o l
Answer:
Your answer is: 8.51718
Step-by-step explanation:
There's 1.057 quarts in a liter. You multiply that by 9 to get 8.51718.
a rectangle is meters long and meters wide. the area of the rectangle is square meters. the solution is
Multiplying the length and width together, we get 3m x 4m = 12m². This means that the area of the rectangle is 12 square meters.
Area = Length x Width
Area = 3m x 4m
Area = 12m²
To solve for the area of a rectangle, you will need to use the formula Area = Length x Width. In this example, the length of the rectangle is 3 meters and the width is 4 meters. To calculate the area of the rectangle, you will need to multiply the length and width together. 3m x 4m = 12m². Therefore, the area of the rectangle is 12 square meters.
The area of a rectangle is calculated by multiplying the length and width of the rectangle together. The formula used to calculate the area of a rectangle is Area = Length x Width. To put this formula into practice, lets use the example of a rectangle that is 3 meters long and 4 meters wide. Multiplying the length and width together, we get 3m x 4m = 12m². This means that the area of the rectangle is 12 square meters. This formula can be used for any rectangle, as long as the length and width are known. Knowing the area of a rectangle can be useful for many purposes, such as calculating the amount of paint or carpeting needed to cover the surface area of the rectangle.
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Can someone please explain the answer with steps and formula I have a test tomorrow
Answer:
sorry but it not possible here i can explain on another platform
Graphing Exponential Exponents Practice
Directions: Graph the function. Compare the graph to the graph of the parent function, identify the y-intercepts, asymptotes, domain, and range.
3) f(x)=[tex]\frac{4}{3}[/tex](6)^x
4)f(x)= -([tex]\frac{1}{3}[/tex])^x
The properties of the functions and the graphs are listed beloe
How to determine the features of the functionsFunction 3
Here, we have
f(x) = 4/3(6)^x
See attachment for the graph, where we have the following features
Domain = All set of real numbersRange: y >= 0y-intercepts = 4/3Asymptotes: y = 0Function 4
Here, we have
f(x) = -(1/3)^x
See attachment for the graph, where we have the following features
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Write the following as an algebraic equation . Use x as the unknown and use a sum. Sum of a number and its equivalent to 115.6
Answer:
x+1=115.6
Step-by-step explanation:
an unknown x
plus a number imagine 1
so x+1=115.6
The scatter plot shows the number of hours worked x and the earnings y (in dollars) of a food server
a. The server worked for about 2.5 hours to earn $35
b. the server earn $77 for 5 hours of work
c. the earnings will increase as the number of hours worked increases
How to find how much the server earn for 5 hours of workThis solved by tracing the information from the graph
Tracing the graph the information that coincides with earning $35 is about 2.5 hours
Tracing the graph the information that coincides with earning $77 is about 5 hours
The graph shows that increase in earning will lead to increase n hours of work
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Hide Sample Answer
The area formula is A = 7². Substitute the values of r (3.5 inches) and TT (3.14) in the formula to find A:
A-3.14x (3.5)² square inches
A = 38.465 square inches.
The area of each light is about 38.465 square inches.
Part C
What is the total area of all three circular lights?
The total area of all three circle lights is:
115.395 square inches.
How do you find the area of a circle?The area of the circle formula helps measure the space occupied by a circular field or plot. Assuming you have land to the fence, the area formula will help you determine how much fencing you will need.
The area of a circle is the area occupied by the circle in the two-dimensional plane. It can be easily determined by the formula A = [tex]\pi r^{2}[/tex], (Pi r-square) where r is the radius of the circle. Area units are square units such as For example m², cm², etc.
The total area of all three circular lights can be calculated by multiplying the area of one light (38.465 square inches) by 3.
Total area = 3 x 38.465 square inches
Total area = 115.395 square inches.
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Solve number 10 in the image below.
The relationship between the rectangles ABCD and WXYZ is AB = WX.
What are rectangles?The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.
Given the rectangles ABCD and WXYZ, in a coordinate grid,
length of rectangle ABCD is parallel to the Y-axis and the length of rectangle WXYZ is parallel to the X-axis,
let us consider the scale of the grid to be 1 unit,
from graph,
AD = BC = 5 units
AB = DC = 3 units,
and for rectangle WXYZ,
XY = WZ = 5 units
WX = YZ = 3 units
so AB = WX
Hence option D is correct.
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The box plot represents the number of tickets sold for a school dance.
A horizontal line labeled Number of Tickets sold that starts at 7, with tick marks every one unit up to 32. The graph is titled Tickets Sold for A Dance. The box extends from 15 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 8 and 31.
Which of the following is the appropriate measure of variability for the data, and what is its value?
The IQR is the best measure of variability, and it equals 13.
The IQR is the best measure of variability, and it equals 6.
The range is the best measure of variability, and it equals 13.
The range is the best measure of variability, and it equals 6.
The correct statement regarding the best measure of the variability is given as follows:
The IQR is the best measure of variability, and it equals 6.
What is the Interquartile Range of a data-set?The Interquartile Range (IQR) of a data-set represents the difference between the third quartile and the first quartile of the data-set.
As it is not affected by outliers, it is the best measure of variability of a data-set.
The quartiles for this problem are given as follows:
First quartile: Q1 = 15.Third quartile: Q3 = 21.Hence the IQR is obtained as follows:
IQR = 21 - 15
IQR = 6.
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I was wondering how you solve for x if you 2x=18?
Answer: the answer is 9
Step-by-step explanation:
simply divide 2 from both sides in order to cancel out the left side and isolate the variable. 18 divided by 2 is 9
A parabola opening up or down has vertex (0, 0) and passes through (12, 18). Write its equation in
vertex form.
Simplify any fractions.
Answer:
[tex]y=\dfrac{1}{8}x^2[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}[/tex]
Given that the vertex of the parabola is (0, 0):
h = 0k = 0Substitute the values of h and k into the formula:
[tex]y=a(x-0)^2+0[/tex]
[tex]y=ax^2[/tex]
Given that the parabola passes through the point (12, 18), substitute this into the equation and solve for a:
[tex]18=a(12)^2[/tex]
[tex]18=144a[/tex]
[tex]a=\dfrac{18}{144}[/tex]
[tex]a=\dfrac{1}{8}[/tex]
Therefore, the equation of the parabola in vertex form is:
[tex]y=\dfrac{1}{8}x^2[/tex]
02: Pretest CR Algebra 2 A / 2:Equations and Functions
option B is correct, the equation or function of the graph is y≥3/4x-3.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The line passing through points (4,0) and (0,3)
Slope=3/-4=-3/4
Now let us find y intercept
0=-3/4(4)+b
0=-3+b
b=3
Hence, option B is correct, the equation or function of the graph is y≥3/4x-3.
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PLEASE HELP ASAP WILL GIVE BRAINLEST!
The value of the x is 228.57 units.
What is the angle bisector theorem?
The angle bisector theorem states that a triangle's angle divides the opposing side into two portions that are proportionate to one another.
We have given,
Triangle, Let's consider it ΔABC,
then,
Measures of Angles ∠B= 37, ∠C=32, and side AD = 82
To find x =?
In the triangle side AD is the bisector, it forms a new triangle ΔADC.
According to the angle bisector theorem, the angle bisector of a triangle divides the opposite side into two parts that are proportional to the other two sides of the triangle.
As per the Angle bisector theorem, the ratio of the line segment BD to DC equals the ratio of the length of the side AB to AC.
To find AB & AC:
sin θ = side opposite to angle θ / hypotenuse
cos θ = side adjacent to angle θ / hypotenuse
sin θ = AD / AB
sin 37 = 82 / AB
AB = 82/ sin 37
AB = 136.25
cos θ = BD / AB
cos θ = BD/136.25
BD = cos37 * 136.25
BD = 104.9
sin θ = AD / AC
sin32 = 82 / AC
AC = 149
cos32 = DC / AC
cos32 = DC / 149
DC = 123.67
So, x = BD + DC
x = 104.9 + 123.67
x = 228.57
Hence, the value of the x is 228.57 units.
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What is the answer for this I’m stuck
This is algebra
The simplest form of (m². m⁵. m⁻³ ) is m⁴
Exponent:Writing a number as the product of itself a number of times are known as an Exponent.
For example,
If 7 is multiplied by itself 3 times, i.e. 7 × 7 × 7. This can be represented as 7³. Where 7 is the base and 3 is the exponent.
If a is multiplied by itself b times, i.e. a × a × a...(b times). This can be represented as (aᵇ). Where 'a' is the base and 'b' is the exponent.
Here we have
The expression (m². m⁵. m⁻³ )
As we know, (aᵇ . aˣ. aᵃ) = aᵇ⁺ˣ⁺ᵃ
(m². m⁵. m⁻³ ) = m²⁺⁵⁻³ = m⁴
Therefore,
The simplest form of (m². m⁵. m⁻³ ) is m⁴
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Find the solution of the differential equation that satisfies the given initial condition.
dy/dx = x/y, y(0) = -2
Refer to the attached image.
find the value of y in the proportion (4y+5):3=(y+7):4
The value of y in the given proportion is 1/13.
In mathematics, a proportion is a statement that two ratios are equal. A ratio is a comparison of two quantities, typically written as a fraction. For example, if we have two quantities, a and b, then the ratio of a to b is written as a/b.
A proportion is written in the form a/b = c/d, where a, b, c, and d are numbers. This means that the ratio of a to b is equal to the ratio of c to d. We can also write this as a:b = c:d.
To solve the proportion:
(4y+5):3=(y+7):4
We can cross-multiply and simplify:
4(4y+5) = 3(y+7)
16y + 20 = 3y + 21
Subtracting 3y from both sides:
3y + 20 = 21
Subtracting 20 from both sides:
13y = 1
Dividing both sides by 13:
y = 1/13
Therefore, the value of y that satisfies the proportion is y = 1/13.
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The associative property states that when adding or multiplying three or more terms, you can group the terms in any order and still get the same answer. The expression must use only one operation. For example, 4 × 3 × 2 can be thought of as 4·(3 · 2), which is 4 · 6, or as (4 · 3) · 2, which is 12 · 2.
The associative property works with addition and multiplication, but not division and subtraction.
The associative property works with addition and multiplication, but not division and subtraction because the grouping of terms affects the result of the operation.
A mathematical concept known as the associative property governs the addition and multiplication of three or more terms. It claims that the way the phrases are grouped has no bearing on how the operation turns out.
This implies that the same result may be obtained by adding or multiplying three or more terms in any sequence. Nevertheless, division and subtraction are not covered by the associative property.
We should take a gander at the accompanying cases to show how expansion and increase are connected:
Example 1: Addition
(2 + 3) + 4 = 2 + (3 + 4)
5 + 4 = 2 + 7
9 = 9
Example 2: Multiplication
(2 × 3) × 4 = 2 × (3 × 4)
6 × 4 = 2 × 12
24 = 24
We can observe from both cases that the word grouping has no impact on the operation's outcome. The associative characteristic, therefore, applies to both addition and multiplication.
The associative characteristic, however, does not apply to division and subtraction. For instance:
(8 ÷ 4) ÷ 2 ≠ 8 ÷ (4 ÷ 2)
2 ÷ 2 ≠ 8 ÷ 2
1 ≠ 4
We can observe from this example that the term grouping has an impact on the operation's outcome. The associative property does not, therefore, apply to division.
The associative property does not also hold for subtraction. For instance:
(8 - 4) - 2 ≠ 8 - (4 - 2)
4 - 2 ≠ 8 - 2
2 ≠ 6
In this example, we can again see that the grouping of terms affects the result of the operation. Therefore, the associative property does not apply to subtraction.
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The distance between two towns, A and B, is 100 km. Mr Jones drove from A to B at an average speed of v km/h. (a) Write down an expression, in terms of v, for the time, in hours, that he took to complete the journey from A to B. [1]
The expression giving the time that he took to complete the journey is given as follows:
t = 100/d.
What is the relation between velocity, distance and time?Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:
v = d/t.
For this problem, the distance is given as follows:
d = 100 km.
Hence the expression to obtain the time needed is given as follows:
v = 100/t
vt = 100
t= 100/v.
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Which of the following graphs are identical?
Answer:
[tex]\sqrt[3]{-x}[/tex] and [tex]-\sqrt[3]{x}[/tex]
Step-by-step explanation:
I inserted these functions into a graphing calculator and checked if they were identical or not
Answer:
First part is D and F
The Second part is A,C,D
Step-by-step explanation:
EDG 2023
solid shapes are regular when all the faces are eaqual which 3d shapes is regular?
a) cylinder
b) cube
c) cuboid
A solid shape is considered to be regular if all of its faces are congruent, meaning they have the same shape and size. In the context of three-dimensional shapes, there are several examples of regular solid shapes, including the cylinder, cube, and cuboid.
A) Cylinder: A cylinder is a solid shape with two parallel, congruent circular bases connected by a lateral surface. All of the lateral faces of a cylinder are parallelograms, and the circular bases have the same shape and size, making the cylinder a regular solid shape.
B) Cube: A cube is a regular solid shape with six congruent square faces. All of the faces meet at right angles, and each face is parallel to the opposite face, making the cube a regular solid shape.
C) Cuboid: A cuboid is a solid shape with six rectangular faces. The opposite faces of a cuboid are congruent rectangles, and all of the faces meet at right angles, making the cuboid a regular solid shape.
In conclusion, the cube and the cuboid are regular solid shapes because all of their faces are congruent, while the cylinder is a regular solid shape because all of its lateral faces are congruent parallelograms and its bases have the same shape and size. These regular solid shapes are useful in geometry and provide a foundation for understanding the properties of more complex solid shapes.
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Taffy twist candy company keeps the same ratio of pieces of strawberry candy to banana candy in their packs. The mega pack has 40 strawberry candies and 50 banana candies. The party pack has 20 strawberry candies.
How many banana candies are in the party pack?
Answer:
The party pack has 20 strawberry candies and 25 banana candies. To calculate this, divide the number of strawberry candies in the mega pack (40) by the total number of candies in the mega pack (90). This gives you a ratio of 4:5. For the party pack, divide the number of strawberry candies (20) by that same ratio (4:5) to find the number of banana candy pieces, which is 25.
can someone help me with this ik its not math, but there wasn’t a category for band/music. this is due tmr and i’m struggling. i’ll give 50 points!!
1. a break in the music
2. how loud or soft to play
3. bar lines organize the staff into these boxes of music
4. perform two or more notes as one note for the combined sum of all the notes
5. noteheads are placed on the five horizontal lines and four spaces
6. Signifies the end of a piece of music show me your mom
7. Divide the staff in the measures
8. Medium soft
9. Holding note longer than its normal value
10. Fast
11. The style used to begin or end a note
12. A medium tempo
13. Stretch the note to hold it for full value
14. a slow tempo
15. Perform the note with emphasis
16. Gradually getting louder
17. Gradually getting softer same as decrescendo
18. Top number is the number of beats in a measure bottom number is the type of note that receives one beat
19. Gradually getting faster
20. Smoothly connected
the blacked out ones are the ones i’ve already done!!
Answer:
1. rest
2. dynamics
3. measure
4. chord
5. staff
6. double bar line
7. bar line
8. mezzo-piano
9. fermata
10. allegro
11. articulation
12. moderato
13. tenuto
14. larghetto?
15. accent
16. crescendo
17. diminuendo
18. time signature
19. accelerando
20. slur