Finding the numeric value of the function, it is found that the car is worth $24,780 after 4 years.
What is the problem?This problem is incomplete, but researching it on a search engine, we have that:
The straight line depreciation equation for a car is y = -3680x + 39500.
It asks the value of the car after 4 years.
How to find the numeric value of a function?The numeric value of a function is found replacing each instance of x by the value that we want to find.
For this problem, means that the value of the car after x years is given by:
y = -3680x + 39500.
Hence, after 4 years, the value is:
y = -3680(4) + 39500 = $24,780.
The car is worth $24,780 after 4 years.
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In the 1960 Olympics, Wilma Rudolph of the United States won the women's 100 meter run in 11.0 seconds. In 1988, Florence Griffith-Joyner, also of th
United States, won with a time of 10.49 seconds, which is still the fastest women's time to this date. Find the percent of decrease in the winning time.
Round to the nearest tenth.
Step-by-step explanation:
no lo se,no hablo ingles..........
5. A group of friends are running a
relay race that covers 31 miles. If
each person runs+mile, how
many runners are there?
Answer: 8 runners
Step-by-step explanation:
If you mean that " if each person runs one more mile than the previous runner" then:
First person = 1
Second person = 1+1
.....
(1)+(1+1)+(1+1+1)+(1+1+1+1)+(1+1+1+1+1)+(1+1+1+1+1+1)+(1+1+1+1+1+1+1)+(1+1+1)
1 + 2 + 3 + 4 + 5 + 6 + 7 + 3 =31
(the last runner runs less miles then needed)
8 runnersOne pygmy shrew weighs 3 3/18 ounces, and another weighs 4 4/7 ounces. Estimate the total weight.
O about 8 1/2
O about 7 1/2
O about 9 ounces
O about 7 ounces
==============================================
Reason:
It might help to draw a number line for this.
3/18 is closer to 0 than it is to 1/2 = 9/18, so the mixed number 3 & 3/18 rounds to 3 when rounding to the nearest half.
4/7 is closer to 1/2 = 4/8 than it is to either 0 or 1, so 4 & 4/7 rounds to 4 & 1/2 when rounding to the nearest half.
Adding 3 to 4 & 1/2 gets 7 & 1/2 since we add the whole parts 3+4 = 7, and the fractional part stays as it is.
-----------
Check:
(3 + 3/18) + (4 + 4/7) = 7.738 approximately
7 + 1/2 = 7.5 exactly
The two results aren't too far off. The estimate of 7 & 1/2 is an underestimate.
Answer:
About 7 1/2 ounces
Step-by-step explanation:
Add your whole numbers first, 3 + 4 = 7
Now the fractions:
3/18 = 1/6
Estimate 4/7 + 1/6, the answer is somewhere between 1/2 and 1 whole. Therefore the answer is about 7 1/2
Check:
3/18 × 7/7 = 21/126
4/7 × 18/18 = 72/126
21/126 + 72/126 = 93/126
The actual answer is 7 31/42, so the closest answer is 7 1/2
The area of the playing surface at the Olympics stadium in Beijing is 3/5 of a hectare. What area will it occupy on a plan drawn to a scale of 1:500
The area that occupies on a plan drawn to the given scale is 0.024 m²
Given,
The area of the playing surface at the Olympics stadium in Beijing = 3/5 hectare
The scale factor on a plan drawn = 1:500
We have to find the area that occupies on a plan drawn to the given scale:
Applied to the area we consider k² as the area is the product of two dimensions.
So, k = 1/500
Now the area on plan:
a : k² = actual area
a : (1/500)² = (3/5) × 10000
a : (1/250000) = 3 × 2000
a × 250000 = 6000
a = 6000 / 250000
a = 0.024 m²
That is, the area that occupies on a plan drawn to the given scale is 0.024 m²
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assume that you are trying to use the inverse tangent function on your calculator to find the angle of a vector in the x-y plane.
The tangent of the angle formed when x = 0 is undefined.
However, the angle described by when x = 0 are;
E) Either 90° or 270°
Which method can be used to find the measure of the required angle?
The question appears to be incomplete. The possible other part of the question is as follows;
When x = 0, and the calculator is used to find the tangent, the calculator indicates that the value is undefined, such that the calculator will not be able to give the value of the angle that corresponds with a value of x = 0.
What must the angle in degrees be when x = 0
Solution;
[tex]tan( \theta) = \frac{ \Delta y}{\Delta x} = \frac{y - value}{x - value} [/tex]
When x = 0, we have;
[tex]tan( \theta) = \frac{y - value}{0} = \infty [/tex]
However, when x = 0, the terminal side have rotated from the initial side to the positive or negative side of the ordinate, which corresponds to 90° or 270°, which are located on the ordinate of the graph
The correct option is therefore;
E) Either 90° or 270°
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The tangent of the angle formed when x = 0 is undefined. However, the angle described by when x = 0 are; E) Either 90° or 270°, When x = 0, we have; However, when x = 0, the terminal side have rotated from the initial side to the positive or negative side of the ordinate, which corresponds to 90° or 270°, which are located on the ordinate of the graph. The correct option is therefore; E) Either 90° or 270°.
When using the inverse tangent function on a calculator to find the angle of a vector in the x-y plane, it is important to understand the limitations and considerations involved. The inverse tangent function, commonly denoted as arctan or atan, returns the angle whose tangent is a given value. However, special attention should be given to the range of the output and the quadrant of the angle. Additionally, some calculators have a two-argument inverse tangent function that considers both the x and y components of the vector, providing a more accurate result. To find the angle of a vector in the x-y plane using the inverse tangent function on a calculator, we typically use the atan or arctan function. The function takes a single argument, which is the ratio of the y-coordinate to the x-coordinate of the vector. It returns the angle in radians whose tangent is equal to that ratio. However, it's important to consider the limitations of the inverse tangent function. The output of the function is typically in the range of -π/2 to π/2 (-90 degrees to 90 degrees). This means that the function can only provide angles within this range. If the vector falls in the second or third quadrant (where the x-coordinate is negative), the function will return an angle between -90 degrees and 90 degrees. To obtain the correct angle in these cases, we need to add or subtract 180 degrees, depending on the quadrant. Some calculators also have a two-argument inverse tangent function, often denoted as atan2 or arctan2. This function takes both the x and y components of the vector as arguments. It provides a more accurate result by considering the signs of both components and the quadrant of the angle. This eliminates the need for additional calculations to determine the correct quadrant. In conclusion, when using the inverse tangent function on a calculator to find the angle of a vector in the x-y plane, we should be aware of the range of the output and the quadrant in which the vector lies. For more accurate results, it is recommended to use the two-argument inverse tangent function (such as atan2 or arctan2) if available on the calculator, as it handles the quadrant determination automatically.
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Find the value of k such that a is singular. (enter your answers as a comma-separated list.) 0 k 1 k 5 k 1 k 0
The value of k such that a is singular is ±√(5/2).
What do you mean by the term singular?If a singular matrix's determinant is 0, it is a square matrix. Specifically, if and only if det A = 0, a square matrix A is unique. We are aware that the formula A-1 = (adj A) / can be used to get the inverse of a matrix A. Here, the denominator contains det A, which is the determinant of A. We are aware that a fraction with a denominator of 0 is not defined. Since det A = 0, A-1 is not defined. In other words, a single matrix's inverse is not defined. That is to say, there isn't a matrix B such that AB = BA = I.
A singular matrix means that the detA should be 0.
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Solve for x. (5x + 6)(3x - 6) = 0
The value of the given quadratic equation are = x = -(6/5) , x = 2
What is quadratic simple?Quadratics are polynomial equations of the second degree, which means they have at least one squared term. It is also known as quadratic equations. The quadratic equation has the general form: ax2 + bx + c = 0.
So, how are quadratic functions significant?Quadratic functions occupy a distinctive place in the school curriculum. They are functions whose values are easily estimated from input values, therefore they are a modest improvement over linear functions and provide a major shift away from attachment to straight lines.
According to the given information:Given (5x + 6)(3x - 6) = 0
Using the zero factor principle: if ab = 0 then a = 0 and b = 0
So,
(5x + 6) = 0 or (3x - 6) = 0
for the (5x + 6):
(5x + 6) = 0 (subtracting both side by 6)
5x + 6 - 6 = 0- 6
so, x = -(6/5)
Same calculation for (3x - 6) = 0 we get x = 2
The value of the given quadratic equation are = x = -(6/5) , x = 2
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Can someone please help I will be giving Brainliest to whoever can answer :)
Match the questions with the graphs that are labeled A-H. (keep in mind that some questions might have the same answer)
6. x^2- 3x ≥ 0
7. x^2- 3x + 2 ≤ 0
8. {(x, y): y ≤ 1 - x^2} and {(x, y): y ≥ -1}
The inequalities are matched with their correct graph respectively as follows:
D ⇒ {(x, y): y > x²}.G ⇒ {(x, y): y ≥ x²+ 3C ⇒ {(x, y): y ≤ 3x² + 2}A ⇒ {(x, y): y ≥ 2x² - 5x + 1}J ⇒ x²- 3x ≥ 0H ⇒ x² - 3x + 2 ≤ 0B ⇒ {(x, y): y ≤ 1 - x²} B ⇒ {(x, y): y ≥ -1}What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).In Geometry, if the leading coefficient of a quadratic equation is greater than (>) zero, the parabolic curve would open upward while the parabolic curve would open downward when the leading coefficient of a quadratic equation is less than (<) zero.
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Complete Question:
Match the questions with the graphs that are labeled A-H. (keep in mind that some questions might have the same answer)
1. A = {(x, y): y > x^2}
2. B = {(x, y): y ≥ x^2+ 3}
3. C = {(x, y): y ≤ 3x^2 + 2}
4. D = {(x, y): y ≥ 2x^2- 5x + 1}
6. x^2- 3x ≥ 0
7. x^2- 3x + 2 ≤ 0
8. {(x, y): y ≤ 1 - x^2}
9. {(x, y): y ≥ -1}
A, B, and C are the centers of the 3 circles. How many
equilateral triangles are there in this diagram?
Seleccione todas las que correspondan
¿Qué enunciados describen el movimiento en la imagen?
A. El hombre no está en movimiento con respecto a la boya.
B. El barco está en movimiento con respecto a la boya.
C. El hombre está en movimiento en relación con el barco.
D.El hombre no está en movimiento con respecto al bote.
C. El hombre no se mueve en relación con la caña de pescar.
Lo ciento, pero yo no se mucho Espanol por que yo soy negro y boricua pero mas negro asi que yo nunca aprendió.
Yo esperar una persona quien es muy mejor a Espanol pueda ayudarte! Adios.
(Yo solo escribio ese para la premio!)
A group of friends wants to go to the amusement park. they have $69.75 to spend on parking and admission. parking is $17.25, and tickets cost $17.50 per person, including tax. write an equation which can be used to determine p, the number of people who can go to the amusement park.
Equation and solution of equation :
17.25 + p(17.50) = 69.75
17.25 + 17.50p = 69.75
17.50x = 69.75 - 17.25
17.50p = 52.50
p = 52.50/17.50
p = 3
So three people can go to the amusement park (assuming that they are all travelling together in the same car).
The equation that represents the number of people who can go to the amusement park will be 17.50p + 17.25 = 69.75.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
A group of friends wants to go to the amusement park. they have $69.75 to spend on parking and admission. Parking is $17.25, and tickets cost $17.50 per person, including tax.
Let p be the number of people. Then the equation is given as,
17.50p + 17.25 = 69.75
The equation that represents the number of people who can go to the amusement park will be 17.50p + 17.25 = 69.75.
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Evaluate.
(-8)¹ =
What is it
Answer:
-8
Step-by-step explanation:
Any number raised to the power 1 is that number itself
So (-8)⁻¹ = -8
I need help with 18 and 22 thx
The proportional relationships for these problems are given as follows:
18. y = 0.5x, with constant k = 0.5.
22. y = -0.4x, with constant k = -0.4.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In item 18, we have that when x = 2, y = 1, hence the constant is:
k = y/x = 1/2 = 0.5.
Hence the equation is:
y = 0.5x.
In item 22, we have that when x = -5, y = 2, hence the constant is:
k = y/x = -2/5 = -0.4.
Hence the equation is:
y = -0.4x.
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Place Value 879,009 - 788,492
Answer:
90517
Step-by-step explanation:
This is the answer when you minus 879,009 by 788,492
1) Simplify the expression. Show your work.
[tex]\sqrt\frac{9x^{3} }{4y^2}[/tex]
2) Simplify the expression (2-5i)(3+7i)-(4+3i). Show your work.
3) Simplify the expression [tex]\sqrt[3]{81}x^{7}y^{9}z^{5}[/tex] . Show your work.
The expressions are simplified to 3x^3/2/ y , 2 - 4i - 35i² and 4x^7y^9z^5
How to simply the expressions1.
Given the expression;
[tex]\sqrt{\frac{9x^3}{4y^2} }[/tex]
Take the square root of the variables;
= [tex]\frac{3x^3^/^2}{y}[/tex]
2. (2-5i)(3+7i)-(4+3i)
expand the bracket
6 + 14i - 15i - 35i² - 4 - 3i
collect like terms
2 - 4i - 35i²
3. Given the expression;
[tex]\sqrt[3]{81} x^7 y^9z^5[/tex]
Take the cube root of the value, we have;
4x^7y^9z^5
Thus, the expressions are simplified to 3x^3/2/ y , 2 - 4i - 35i² and 4x^7y^9z^5
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what is 6(2-7v)+2(v+4)=20
Answer:
v= 0
6(2-0)+2(4)=20 is the simplified version of the equation.
You have a balance of 213.15 in a savings account you make withdrawals of 69.94 and 129.36 find ur new balance SOMEONE PLEASE HELP
7. Allan ate 28 jelly beans. Alexis ate 75% of the amount that Allan ate. How many Jelly beans did Alexis eat?
Answer:
21
Step-by-step explanation:
.75 x 28 = 21
to test a hypothesis about a given variable, experimental and control groups are tested in parallel. which of the following best explains the dual experiments?
The Option A best explains the dual experiments: "In the experimental group, a chosen variable is altered in a known way. In the control group, that chosen variable is not altered so a comparison can be made."
What is experimental design?The process of deciding which variables to use in an experiment to test a particular hypothesis is called experimental design. To properly collect data and evaluate the hypothesis, the experimental design method is used.Now,
A specified variable is changed in the experimental group in a well-known fashion. That selected variable is left unaltered in the control group so that comparisons can be conducted. Control variables are variables that are utilized in an experiment to serve as a baseline against which the data from the experimental variables are gathered and evaluated (which is why the other answers are incorrect). In the experimental group, it is advisable to modify just one variable at a time so that any differences from the control group may be quickly linked to the one variable that was altered.Hence, amongst all the given options, The Option A best explains the dual experiments: "In the experimental group, a chosen variable is altered in a known way. In the control group, that chosen variable is not altered so a comparison can be made."
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Convert 3.9 yards to inches.
Answer:
140.4 inches
Step-by-step explanation:
there are 36 inches in a yard
3.9 times 36 is 140.4
Hope It Helps
Sorry If I'm Wrong
3.9 yards is equal to 140.4 inches.
We have,
The concept used to convert 3.9 yards to inches is the conversion factor between yards and inches. The conversion factor states that 1 yard is equal to 36 inches.
By multiplying the given value in yards (3.9 yards) by the conversion factor (36 inches/yard), we can convert the measurement from yards to inches.
This concept of using a conversion factor allows us to convert between different units of measurement.
To convert 3.9 yards to inches, we can use the fact that 1 yard is equal to 36 inches.
So, to convert 3.9 yards to inches, we multiply 3.9 by 36:
3.9 yards * 36 inches/yard = 140.4 inches
Therefore,
3.9 yards is equal to 140.4 inches.
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pls do this pls pls pls pls pls pls
Answer:
See below
Step-by-step explanation:
The most important info is the rate ft^2 / min and how many minutes it took to mow.
From this, we need to know how much total area there is. We do this by multiplying the rate by the time.
[tex] \frac{ 4{ft}^{2} }{minute} \times 29minutes = 116 {ft}^{2} [/tex]
Then we need to write out the sum of the whole area in terms of length times width
[tex]6ft \times 14 ft + x \times 4ft = 116 {ft}^{2} [/tex]
Notice how we put x for the unknown variable, this turns it into an easy peasy algebra problem. I leave that to you, solve for x
Find the value of x
file attatched*
x=9
x=15
x=41
x=77
Answer:
find the value of x file attached x9
select the correct answer. which measurement is equivalent to 350 milliliters? a. 3.5 × 102 liters b. 3.5 × 101 liters c. 3.5 × 10–2 liters d. 3.5 × 10–1 liters
The measurement that is equivalent to 350 milliliters is d. 3.5 × 10⁻¹ liters.
Measurements:
Measurements is the concept that is very helpful to measure the quantity of the any object like for solid object we have to use the grams and for liquid one we have to use the liters.
So, it is basically used to define the quantity of the given object.
Given,
Measurement = 350 milliliters.
Here we need to find the equivalent form from the given options.
We know that,
1 liter = 1000 milliliters
Here We are given a quantity of 350 milliliters and we are supposed to convert it into liters.
So, assuming x to be the number of liters equivalent to 350 milliliters, we can write it as:
[tex]\frac{1liter}{xliter}=\frac{1000}{350}[/tex]
=> x = 350/1000
=> x = 0.35
Which can be written as,
=> x = 3.5 × 10⁻¹ liters
Therefore, 350 milliliters is equal to 3.5 × 10⁻¹ liters.
So, the option (d). 3.5 × 10⁻¹ liters is correct.
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if h(x)=x2-x find h(3)
Answer:
h(3) = 1
Step-by-step explanation:
[tex]h\left(3\right)=\left(3\right)\cdot \:2-3\\h\left(3\right)=3\cdot \:2-3\\h\left(3\right)=6-3\\h\left(3\right)=3[/tex]
Divide
[tex]\frac{h\cdot \:3}{3}=\frac{3}{3}\\h=1[/tex]
Help!!!
12. Sam's salary was $42,000 in 1998 and $53,600 in 2002. If Sam's salary follows a linear growth pattern,what
will it be in 2007? Let G represent the growth and express G as a function.
Find the area of a triangle with a base
of 10m and a height of 12m.
Area: 12(bxh)
Answer:
60
Step-by-step explanation:
1/2(b×h)
1/2(10×12)
1×5×12
60
Write the definition of an absolute number.
Please write a good thought out answer !!
NO LINKSSSSSS.
Answer:
An absolute number is a number that is represents a distance from 0. An absolute number is always positive since the distance between two number is always positive.
Step-by-step explanation:
the ice cream shop has 10 flavor of ice cream, how many different two-scoop ice cream cones can you make?
The total number of two scoops of ice cream cones is 45, calculated using the combination of different flavors.
What is the combination?
The combination is a mathematical term basically used to calculate the possible arrangements in a collection of different items. Its formula is given by:
C(n,r) = n! / (n-r)! r!
Where n is the total number of items and r is the number of selected items
Calculation of the number of different two-scoops ice cream cones
Given: 10 flavors of ice cream
We are required to choose two flavors out of 10, so we need to use the combination, i.e.
C(10,2) = 10! / (2! (10 - 2)!)
= 10! / (2! 8!)
= 45
Hence, the total number of two scoops of ice cream cones is 45.
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Boca Grande Causeway in Florida is about 1 4/9 times as long as the Golden Gate Bridge in San Francisco the Golden Gate Bridge is about 9000 ft about how long is the Boca Grande Causeway
Answer:
Step-by-step explanation:
There are 16 circles and 12 squares. What is the simplest ratio of squares to total shapes?
Answer:
3/2
Step-by-step explanation:
16+12= 28 total shapes
squares =12 so 12/28
and divide both side by 4 for simplest form
3/2