Find the 8th term from the end of ap -1/2 -1 -2 -4
Answers
The 8th term from the end of the given arithmetic progression is 4.
In the given arithmetic progression (-1/2, -1, -2, -4), we count 8 terms backwards from the last term.
Starting from the last term (-4), we count backwards as follows:
7th term from the end: -2
6th term from the end: -1
5th term from the end: -1/2
4th term from the end: (unknown)
To determine the 4th term from the end, we can observe that each term is obtained by multiplying the previous term by -2. Continuing the pattern, we find that the 4th term from the end is 4.
Therefore, the 8th term from the end is 4.
learn more about arithmetic progression here:
https://brainly.com/question/30364336
#SPJ11
Related Questions
use the photo to solve the problem!!
Answers
\( \frac{3ax - n}{5} = - 4\)
We have to solve for x. So, take the denominator 5 to RHS and multiply it with -4.\(3ax - n = - 4 \times 5\)
Now, multiply -4 and 5.\(3ax - n = - 20\)
Transpose -n to the RHS.\(3ax = n - 20\)
Now take 3a to the RHS and place it as the denominator of n - 20.\(x = \frac{n - 20}{3a} \)
So here is your required answer.Answer:
\(x = \frac{n - 20}{3a} \)
Hope you could understand.
If you have any query, feel free to ask.
How many inch thick books can fit on a 14 1/2 inch-long bookshelf?
Answers
Answer:
14.
Step-by-step explanation:
14 1/2 / 1 = 14 1/2
answer 14.
Answer:
14 books
Step-by-step explanation:
At most 14 because it is 14 1/2 inches long
he population of a town increases at a rate proportional to its population. its initial population is 5000. the correct initial value problem for the population, p(t), as a function of time, t, is select the correct answer.
Answers
The final equation for the population as a function of time is:
p(t) = 5000e^(ln(2)/10 * t).
The correct initial value problem for the population, p(t), as a function of time, t, is:
dp/dt = kp, p(0) = 5000
where k is the proportionality constant. This is a first-order linear differential equation with constant coefficients, which can be solved using separation of variables. The solution is:
p(t) = 5000e^(kt)
where e is the base of the natural logarithm. The value of k can be found by using the fact that the population doubles every 10 years, which means that:
p(10) = 10000 = 5000e^(10k)
Solving for k, we get:
k = ln(2)/10
Therefore, the final equation for the population as a function of time is:
p(t) = 5000e^(ln(2)/10 * t)
Learn more about function here:
https://brainly.com/question/30721594
#SPJ11
(,)=0.20msin(3.00m−1 6.00s−1) is =2.00m/s. what are the wavelength and the speed of the wave?
Answers
The wavelength of the wave is approximately 2.09m, and the speed of the wave is approximately 1.99m/s. values were obtained by analyzing given expression and utilizing relationships between wave parameters.
To find the wavelength, we can use the formula λ = v/f, where λ represents the wavelength, v represents the speed of the wave, and f represents the frequency of the wave. However, in the given expression, we are not directly given the frequency. Instead, we have the angular frequency ω, which is related to the frequency as ω = 2πf.By comparing the given expression with the general wave equation, we can identify that the wave number k = 3.00m^(-1). Since the wave number is related to the wavelength as k = 2π/λ, we can rearrange the equation to find the wavelength: λ = 2π/k. Plugging in value for k, we get λ = 2π/(3.00m^(-1)), which simplifies to approximately λ = 2.09m.
To determine the speed of the wave, we can use the formula v = λf, where v represents the speed of the wave, λ represents the wavelength, and f represents the frequency. As mentioned earlier, we have the angular frequency ω instead of the frequency f. However, we know that ω = 2πf, so we can rearrange this equation to find f = ω/(2π). Plugging in the given angular frequency ω = 6.00s^(-1), we get f = 6.00s^(-1)/(2π), which simplifies to approximately f = 0.955Hz.Now that we have the wavelength λ = 2.09m and the frequency f = 0.955Hz, we can use the formula v = λf to find the speed of the wave. Plugging in the values, we get v = (2.09m)(0.955Hz), which gives us the speed of the wave v = 1.99m/s.
To learn more about wavelength click here : brainly.com/question/31143857
#SPJ11
the median weekly salary for an individual with a bachelor's degree is $1054 per week. this represents an increase of 38% over the salary of an individual with an associates degree. what is the median weekly salary of an individual with an associates degree?
Answers
the median weekly salary for an individual with an associate's degree, before the 38% increase, is approximately $764.49.
To find the median salary of an individual with an associate's degree, we first need to determine the original salary before the 38% increase. Let's call this original salary x.
We know that the increased salary for an individual with a bachelor's degree is $1054, which represents 100% + 38% = 138% of the original salary.
So, we can set up the equation:
138% of x = $1054
To find the value of x, we divide both sides of the equation by 138% or 1.38:
x = $1054 / 1.38
Evaluating this expression, we find that x is approximately $764.49.
Therefore, the median weekly salary for an individual with an associate's degree, before the 38% increase, is approximately $764.49.
Learn more about median here:
https://brainly.com/question/300591
#SPJ11
two rectangles are similar. the first rectangle has a length of 15 cm and a width of 10 cm. the width of the second rectangle is 25 cm. what is the length
Answers
given f(x)=x+2 setting k=4 affects the slope and y- intercept of the graph of g compared to the graph of f g(x) = 4(x + 2)
Answers
The constant term is 8, which means that the y-intercept of the graph of g is (0, 8).
What is function?In mathematics, a function is a rule that assigns a unique output value for every input value in a set. It is a relation between a set of inputs and a set of possible outputs, with the property that each input is related to exactly one output. Functions are widely used in various fields of mathematics, science, engineering, and technology to model and analyze real-world situations, to describe how quantities depend on one another, and to solve problems.
Here,
If we set k=4, the function g(x) becomes:
g(x) = k(x+2) = 4(x+2)
The value of k affects the slope of the graph of g compared to the graph of f. In this case, since k=4, the slope of the graph of g is 4 times the slope of the graph of f.
The slope of the graph of f is 1, since the coefficient of x is 1. Therefore, the slope of the graph of g is:
4 * 1 = 4
This means that the graph of g is steeper than the graph of f.
The y-intercept of the graph of f is 2, since the constant term is 2. Setting k=4 does not affect the y-intercept of the graph of g, since the constant term remains the same:
g(x) = 4(x+2) = 4x + 8
To know more about function,
https://brainly.com/question/28278699
#SPJ9
What is x if
f(x) = -2?
Answers
x-values can be anything since we don't have any x term to substitute.
It can also be explained by a graph. The constant graph is a horizontal graph and it shows that x can be any real numbers.
Given the functions below, find (h.g) (4).
g(x) = 3x +3
h(x) = -4x + 1
Answers
Answer:
(h·g)(4) = -225
Step-by-step explanation:
We assume your (h.g) is supposed to represent the product h(x)g(x). Filling in the numbers and doing the arithmetic, we have ...
(h·g)(4) = h(4)·g(4) = (-4(4)+1)(3(4)+3) = (-15)(15)
(h·g)(4) = -225
A jeweler has 20 ounces of a gold alloy worth $160 per ounce and 10 ounces of a silver alloy worth $140 per ounce. She has a third alloy that is worth $124 per ounce. How much of this third alloy must she combine with the other two to make 3-ounce pieces of jewelry worth $438 each?
Answers
She combine with the other two to make 3-ounce pieces of jewelry worth $438 each is 0.75 ounces.
Let's define some variables:
g = ounces of gold per piece
s = ounces of silver per piece
x = ounces of other alloy per piece
There's twice as much gold as there is silver, so:
g = 2s
The total weight of the piece is 3 ounces, so:
g + s + x = 3
The total cost is $438, so:
160g + 140s + 124x = 438
Three equations, three variables. We can solve the system of equations. If we substitute the first equation into the second:
2s + s + x = 3
3s + x = 3
x = 3 − 3s
If we substitute this new equation and the first equation into the third equation:
160 (2s) + 140s + 124 (3 − 3s) = 438
320s + 140s + 372 − 372s = 438
88s = 66
s = 0.75
Now solve for g and x:
g = 2s = 1.5
x = 3 − 3s = 0.75
Therefore, the amount of alloy equals the amount of silver. The jeweler has 10 ounces of silver, so she needs 10 ounces of alloy.
For more such questions on System of equations
https://brainly.com/question/24065247
#SPJ4
a scatterplot includes data showing the relationship between the value of a painting and the age of the painting. which graph displays the line of best fit for the data?
Answers
The scatterplot that displays the line of best fit for the data would be the scatterplot that includes the calculated line of best fit plotted on the graph along with the data points.
A line of best fit, also known as a regression line, is a line that represents the relationship between two variables in a scatterplot. The line of best fit is used to describe the overall trend in the data and can be used to make predictions about one variable based on the values of the other variable.
The line of best fit in a scatterplot can be represented as a straight line, a polynomial, or another type of mathematical function, depending on the relationship between the variables. To find the line of best fit, the student would need to use statistical techniques such as linear regression or polynomial regression to calculate the equation of the line that best represents the data.
The line of best fit is then plotted on the scatterplot along with the data points, creating a visual representation of the relationship between the two variables. The line of best fit can be used to make predictions about one variable based on the values of the other variable, and to determine the strength and direction of the relationship between the two variables.
Thus, In conclusion, the scatterplot that displays the line of best fit for the data would be the scatterplot that includes the calculated line of best fit plotted on the graph along with the data points.
To learn more about scatterplots,
Visit; brainly.com/question/5102661
#SPJ4
The scatterplot that displays the line of best fit for the data is the scatterplot that includes the computed line of best fit drawn on the graph with the data points.
The scatterplot that includes the computed line of best fit shown on the graph with the data points is the scatterplot that displays the line of best fit for the data.
A line of best fit, also known as a regression line, is a line in a scatterplot that illustrates the connection between two variables. The line of best fit is used to depict the general trend in the data and may be used to forecast one variable based on the values of another.
Depending on the relationship between the variables, the line of best fit in a scatterplot can be depicted as a straight line, a polynomial, or another sort of mathematical function. The learner would need to apply statistical techniques such as linear regression or polynomial regression to derive the equation of the line that best represents the data in order to obtain the line of best fit.
The line of best fit is then drawn alongside the data points on the scatterplot, producing a visual depiction of the connection between the two variables. The line of best fit may be used to anticipate the value of one variable based on the value of another variable, as well as to identify the strength and direction
To summarize, the scatterplot that displays the line of best fit for the data is the scatterplot that includes the computed line of best fit drawn on the graph with the data points.
To learn more about data points click here :
brainly.com/question/17148634
#SPJ4
Which inequality is shown in the graph?
Answers
Answer: 3ft²?
Step-by-step explanation:
URGENTT!! Susan will rent a car for the weekend. She can choose one of two plans. The first plan has no initial fee but costs $0.60 per mile driven. The second plan has an initial fee of $75 and costs an additional $0.10 per mile driven. How many miles would Susan need to drive for the two plans to cost the same?
Answers
Answer:
150 miles
Step-by-step explanation:
Let
x = number of miles
Plan A: 0.60x
Plan B: 75 + 0.10x
How many miles would Susan need to drive for the two plans to cost the same?
0.60x =75 + 0.10x
0.60x - 0.10x = 75
0.50x =75
x = 75/0.50
x = 150 miles
Susan needs to drive for 150 miles for the two plans to cost the same
I was confused on how to write the quadratic in standard form
Answers
\(\\~~~~~3x^2 +4x +7 = -1\\\\\implies 3x^2 +4x +7 +1 = 0\\\\\implies 3x^2 +4x +8 = 0\\\\\text{It is now in the standard form of quadratic equation}~( ax^2 +bx +c = 0)\\\)
The variability at each dealership is approximately 1.538 the difference between the mean price of used car sold at each dealership is approximately how many times the variability
Answers
If the standard deviation is 1.538, then the difference between the mean price of used cars sold at each dealership is approximately 5.07 (1.538 x 3.3) times the variability.
The variability at each dealership, measured by standard deviation, is 1.538.
To determine how many times the difference between the mean price of used cars sold at each dealership is, we need to use a statistical measure called the coefficient of variation (CV).
The CV is calculated by dividing the standard deviation by the mean, and multiplying by 100 to get a percentage. In this case, the CV is approximately 3.3%.
This means that the difference between the mean price of used cars sold at each dealership is about 3.3 times the standard deviation or variability.
Learn more about The variability at
https://brainly.com/question/31073722
#SPJ11
For each transformation in the table below, indicate which properties are true and false by selecting true or false from the drop down menus in each box
Answers
Translation, rotation, and reflection are three of the fundamental transformations.
What properties do transformations have?Translation, rotation, and reflection are three of the fundamental transformations.The four main categories of transformations are as follows :Rotation.Translation.Dilation.ReflectionA metamorphosis is a significant alteration in appearance or form. The only change that might provide similarity is dilation.Non-rigid transformations are those that dilate when length and angle measurements are not preserved.Since they maintain length, translation, reflection, and rotation are isometries. Congruency transformations are hence translation, reflection, and rotation.An image that is congruent to the preimage is produced through stiff or isometric transformation.To learn more about transformation refer to:
https://brainly.com/question/4289712
#SPJ1
Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. I sin sin(18x) dx = +C
Answers
In this problem, we are given the integral ∫i sin(sin(18x)) dx, and we need to evaluate it using an appropriate substitution.To evaluate the integral, we can make the substitution u = sin(18x).
This choice of substitution is appropriate because it involves the inner function of the sine function.Taking the derivative of u with respect to x, we get du/dx = 18 cos(18x). Solving for dx, we have dx = du / (18 cos(18x)).
Now, substituting u and dx in terms of u into the original integral, we have:
∫i sin(u) (du / (18 cos(18x)))
Simplifying, the integral becomes:
(1/18) ∫i sin(u) du
The integral of sin(u) with respect to u is -cos(u). Therefore, the integral becomes:
(1/18) (-cos(u)) + C
Finally, substituting back u = sin(18x), we have:
(1/18) (-cos(sin(18x))) + C
So, the exact answer to the integral ∫i sin(sin(18x)) dx is (-1/18) cos(sin(18x)) + C.
To learn more about substitution u click here : brainly.com/question/31404725
#SPJ11
Let f(x)=1/x+x, where is a nonzero number.what is the product of all the values of a, such that f(a)=f(2a)?
Answers
The product of all the values of a, such that f(a)=f(2a) is -1/2
Functions and expressionsGiven the function below;
f(x)=1/x + x
f(a) = 1/a + a
f(2a) = 1/2a + 2a
If f(a) = f(2a), hence;
1/a + a = 1/2a + 2a
Collect the like terms
1/a - 1/2a = 2a - a
2-1/2a = a
1/2a = a
Cross multiply
2a² = 1
a² = 1/2
a = ±√1/2
The values of a are √1/2 and -√1/2
Product = -√1/2 * √1/2
Product = -1/2
Hence the product of all the values of a, such that f(a)=f(2a) is -1/2
Learn more on functions here: https://brainly.com/question/25638609
#SPJ1
Which of the following phrases are inequalities?
Choose 2 answers:
Answers
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.
a ≠ b says that a is not equal to ba < b says that a is less than ba > b says that a is greater than ba ≤ b means that a is less than or equal to ba ≥ b means that a is greater than or equal to b.Knowing this, the options that meet the definition of inequality are A and E.
Orval mows lawns to earn money. He can mow 12 lawns in 4 hours. He earns $15.00 for each lawn. Orval is saving up to buy a new computer that costs $450.00. How many hours does Orval need to work to earn enough money to purchase the computer?
Answers
Answer: 10 hours
Step-by-step explanation:
happy to help
can cut paper animals with scissors, something she couldn't accomplish at age 3. how did her dexterity improve?
Answers
Her dexterity improved due to Increased myelination of the central nervous system.
To learn more about central nervous system visit;
https://brainly.com/question/26348097
#SPJ4
In your economics class there are 44
students. There are 20
freshmen, 12
sophomores, 8
juniors, and 4 seniors.
What is the ratio of seniors to freshman?
Answers
Answer:
1:5
Step-by-step explanation:
We Know
There are 44 students in the economics class.
Freshmen: 20
Sophomores: 12
Juniors: 8
Seniors: 4
What is the ratio of seniors to freshmen?
4:20
Simplify by 4; the ratio will be
1:5
So, the ratio of seniors to freshman is 1:4
Edwerd deposited $10,000 into a savings account 4 years ago. The simple interest rate is 2%. How much money did edwerd earn in interest? Substitute the values into the equation. Interest=$ _x_x_years
Answers
Answer:
Interest = $10000 x 0.02 x 4 = $800
Which of the following propositions is tautology?
a. (p v q)→q b. p v (q→p) c. p v (p→q) d. Both (b) & (c)
Answers
From the truth table, the values for p v (p→q) are all true. Therefore, this proposition is considered a tautology.
A statement or formula that is true under every scenario is referred to as a tautology. For example, the bag is red or it is not. Whatever the color of the bag, these two statements are true.
Construct a truth table for the given propositions. From the table, we can tell that the proposition p v (p→q) is in tautology. Because whatever the value of p and q, the result is true for this proposition.
Therefore, the correct option is option c.
To know more about tautology:
https://brainly.com/question/29494426
#SPJ4
what is derivative calculator symbolab
Answers
Symbolab is an online math tool that offers a wide range of math-related services, including a derivative calculator. The derivative calculator provided by Symbolab is a free tool that allows users to calculate the derivative of a given function with respect to a variable.
To use the Symbolab derivative calculator, you simply need to enter the function you want to differentiate and choose the variable with respect to which you want to differentiate the function. The calculator will then provide you with the derivative of the function in a step-by-step format, including the derivative rules used at each step.
The Symbolab derivative calculator supports a wide range of functions, including trigonometric functions, exponential functions, logarithmic functions, and more. It also supports partial derivatives and implicit differentiation.
For more questions on Symbolab
https://brainly.com/question/30398313
#SPJ4
what are number in between 0.15 and 1.4?
Answers
Answer:
0.16 - 1.39
Step-by-step explanation:
Answer:
i guessed 1.20 idfk
Step-by-step explanation:
how much is 6/9 + 36/9 to a mixed
number
Answers
Answer:14/15 + 42/11
Step-by-step explanation:
Make a the subject of the formula v = u + at.
Hence, find the value of a when t = 4, u = 10 and v=50.
Answers
Step-by-step explanation:
v = u + at
v-u = at
a = (v -u)/t
When t = 4, u=10, v=50
a = (50-10)/4
a= 40/4
a = 10
You get a = 10
A change that occurs as the result of new information or as additional experience is acquired is a: change in accounting principle. change in accounting estimate. change in reporting entity. correction of an error.
Answers
A change that occurs as the result of new information or as additional experience is acquired is a change in accounting estimate. The correct answer is option (B): change in accounting-estimate.
The change in accounting estimate is a type of change that involves revising a previous estimate of an amount or other relevant measurement based on new information or developments, such as changes in market conditions or project completion timelines. It is important to note that a change in accounting estimate is different from a change in accounting principle, which involves adopting a new accounting method for recognizing and measuring certain types of transactions or events.
Additionally, a correction of an error involves fixing an error in previously reported financial information, while a change in reporting entity involves a change in the company or organization that is being reported on. All of these terms are defined within the field of accounting and are important concepts to understand for accurate financial reporting.
To know more about accounting-estimate, visit:
https://brainly.com/question/29614549
#SPJ11
The graph of f(x) is the solid black graph below. Which function represents the
dotted graph?
Answers
Answer: The answer is y= f(x+1)+5
Step-by-step explanation: The reason is that when you are translating the graph, the information in the parenthesis (In this case: (x+1)) is always on the x axis moving either left or right. You just go one in the opposite direction of what the sign is, so since the sign in the parenthesis is "+" you would go left in the opposite direction. Then, for the upward translation, you would have to move 5 units upward and this is done by just adding five to the end of it.