Answer:
22.82
Step-by-step explanation:
8.73 + 8.86+4+0.23+1=22.82
sophias car wash llc specializes in detaling cars. For a pick up truck, sophia charges 30 dollars she also charges a rate of 4 dollars per hour. if sophia charged you 42 dollars how many hours did it take for her to detail your truck
Answer:
3 Hours
Step-by-step explanation:
If we subtract 30 dollars from the initial 42, we are left with 12 dollars. Then all we have to do is do 12/4 to get 3 hours of work :D
2 tan (0.06 Sin x - 0. 4 sin(cos^-1 (0.0592 +0.0432cos x) /0.144))/ (0.06cosx-0.18-0.4 COS (Cos^-1 ( 0.0592+0.0432cosx) / 0.144)) =37.3
Answer:
Step-by-step explanation:
The given equation is a trigonometric expression with complex operations involving tangent, sine, cosine, and inverse cosine functions, and its value is 37.3.
This equation involves multiple applications of trigonometric functions and inverse trigonometric functions to a complex expression. To solve for x, one must simplify the equation by applying the properties of these functions and simplifying the expression.
The expression involves finding the value of inverse cosine, which can be done by using the identity cos^-1(x) = theta, where theta is the angle that satisfies cos(theta) = x. The resulting expression will be a complex equation involving x, which can be solved by various methods, such as numerical or graphical methods.
Here's a general approach to simplifying the equation:
Simplify the argument of the first sine function:This simplified equation can then be solved for x using numerical or graphical methods, or other mathematical techniques.
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Suppose that a city added new bus routes and handed out free bus passes. How many people would give up driving in favor of the bus? How much money, overall, would this cost or save the city?
Answer:
12r-8-12
Step-by-step explanation:
You have to combine like terms.
Hope it helps!
The complex problem involves determining how many people would switch from driving to using newly added bus routes with free bus passes in a city.
How can this be addressed?To address this, a four-step problem-solving process is proposed. Steps include defining the problem, developing a data collection strategy, implementing the strategy through surveys and data analysis, and evaluating the results.
Assumptions and data needed include current transportation patterns, public transport usage, and residents' attitudes. Uncertainty arises from potential sampling variations and financial calculations.
The solution's feasibility lies in comprehensive data collection, and potential controversy may emerge over resource allocation and the impact on city life.
Public engagement is vital in addressing concerns and reaching consensus.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Consider the following complex problems, which do not have a single straightforward solution. Describe how you would apply the four-step problem-solving process described in the text (without actually carrying out the process). List the assumptions and information needed to carry out your solution. Assess the uncertainty in these assumptions and data. Determine whether you believe the problem can be solved and whether a particular solution might generate controversy.
Suppose that a city added new bus routes and handed out free bus passes. How many people would give up driving in favor of the bus? How much money, overall, would this cost or save the city?
find the slope and y-intercept.
The slope and the y-intercept of the line y = 4x + 5 are given as follows:
Slope of 4.y-intercept of 4.How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:
m represents the slope of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.The function for this problem is given as follows:
y = 4x + 5.
Hence the slope and the intercept are given as follows:
m = 4.b = 5.Missing InformationThe problem asks for the slope and the intercept of y = 4x + 5.
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Use the image to answer the question. A vertical number line starting at negative 10 on the bottom of the line with tick marks every one unit up to positive 10 at the top. The point negative 4.5 is labeled. What does the absolute value of the point labeled in the image mean if the number line represents temperature change? There was no change in temperature. The temperature equals 4.5 degrees. The temperature decreased 4.5 degrees. The temperature increased 4.5 degrees. HURRY UP
Since the point negative 4.5 (-4.5) is labeled on this number line representing temperature change, the absolute value of the point labeled in the image means that: B. the temperature equals 4.5 degrees.
What is a number line?In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).
In conclusion, the absolute value of a number is always positive and it can be used for describing the distance of a number from zero (0) on the number line, without taking its direction into consideration.
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Jasmine has a circular swimming pool with a radius of 4.2 meters. What is the circumference of the pool? Use 3.14 for π
. Round to the nearest hundredth if necessary.
__ m
If the radius of Jasmine's swimming pool is 4.2 meter, then it's circumference is 26.4 meters.
The "Circumference" of a circle is known as the distance around the boundary of a circle.
The circumference of a circle is given by the formula : 2 × π × radius,
where π (pi) is a mathematical constant approximately equal to 3.14,
We are given that Jasmine's swimming pool has a radius of 4.2 meters.
So, we can calculate the circumference of the pool as :
⇒ Circumference = 2 × 3.14 × 4.2 meters,
⇒ Circumference ≈ 26.4 meters,
Therefore, the circumference of Jasmine's swimming pool is 26.4 meters.
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Julian belongs to a club that is marching in a parade. Each member of the club needs to wear one of the hats listed in the table below.
PARADE HATS
Straw Hat
25 red
20 white
40 blue
Cowboy Hat
30 red
25 white
10 blue
Julian chooses the first hat at random from all the hats. What is the probability the hat Julian chooses is blue? Show your work or explain your answer.
The probability Julian chooses a blue hat is 1/3.
What is the probability Julian chooses a blue hat?Probability refers to the branch of math which deals with finding out the likelihood of the occurrence of an event.
Total hat is:
= 25+20+40+30+25+1
= 150.
There are a total of 150 hats to choose from.
The number of blue hats to choose from is:
= 40 + 10
= 50.
The probability that Julian chooses a blue hat is:
= 50/150
= 1/3
= 0.33 or 33.33%.
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Tickets at the carnival cost 35 each.on Friday night the carnivals earned a total of 12,425 in ticket sales on Saturday night the ticket sales tripled sales from the night before many people attended To the carnival on both nights
ticket sale on Saturday night is triple the ticket sale on Friday night.
Therefore
ticket sales on Saturday night = 3 x 12425 = 37275
Then
ticket sales for both nights = 12425 + 37275 = 49700
A ticket costs 35.
Let the number of people that attended the carnival on both nights be n.
Then, we have
\(\begin{gathered} 35n=49700 \\ \Rightarrow n=\frac{49700}{35}=1420 \end{gathered}\)Therefore 1420 people attended the carnival on both nights
income from operations of $231,000. In addition, it received interest income of $23,100 and received dividend income of $29,700 from another corporation. Finally, it paid $11,000 of interest income to its bondholders and paid $45,000 of dividends to its common stockholders. The firm's federal tax rate is 21%. What is the firm's federal income tax? Do not round intermediate calculations. Round your answer to the nearest dollar.
The firm's federal income tax is $57,168.
To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.
In this case, the firm's total income consists of income from operations, interest income, and dividend income.
Total income:
Income from operations = $231,000
Interest income = $23,100
Dividend income = $29,700
Total income = $231,000 + $23,100 + $29,700 = $283,800
Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:
Total expenses = Interest paid to bondholders = $11,000
Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800
Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:
Federal income tax = Taxable income * Federal tax rate
Federal income tax = $272,800 * 0.21 = $57,168
Therefore, the firm's federal income tax is $57,168.
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40 is what percent of 320
The word isometric can be broken into two parts. The prefix "iso-” means "of the same,” and "-metric” means "measure.” How does the meaning of the word isometric relate to determining if an isometric transformation occurred? Include the defining characteristics of angle measure and line segments in your response.
The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.
When we speak about geometric figures, the concept of shape, size, and orientation come into play.The defining characteristics of angle measure and line segments play a critical role in determining whether an isometric transformation has occurred. In geometry, angle measures are the measurements of angles in a geometric figure. An angle is formed by two line segments that share a common endpoint. It is a unit used to calculate the measure of a plane figure's interior or exterior, such as a polygon. In other words, the size of the angle doesn't change during an isometric transformation.Line segments are the building blocks of geometric figures. They are used to construct geometric figures such as polygons, triangles, and rectangles, among others. In an isometric transformation, the length of the line segments remains constant because the shape and size of the original figure and its transformed equivalent remain the same.In conclusion, the word "isometric" implies that the transformation has the same measurements of the original figure. It is a transformation that retains the original geometric figures' shape, size, and orientation. The defining characteristics of angle measure and line segments remain unchanged during the isometric transformation. This means that if an isometric transformation occurs, the original and transformed figures have the same measurements of angles and line segments.For such more question on isometric
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1. Allen had 12 goals on the season. If he
played in 8 games, how many goals did
he average per game? Round your answer
to the nearest hundredth.
A. 0.67
B. 1.5
C. 2.3
D. 3.2
WILL MARK Brainlyest
Answer:
B. 1.5
Step-by-step explanation:
12/8 = 1.5
Consider the following regression model: yi = B0 +B 1xi + ui. If the first four Gauss-Markov assumptions hold true, and the error term contains heteroskedasticity, then _____.a. Var(ui|xi) = 0b. Var(ui|xi) = 1c. Var(ui|xi) = Θi2d. Var(ui|xi) = Θc. Var(ui|xi) = Θi2
If the first two Gauss-Markov assumptions are met and heteroskedasticity exists in the error term, Var(ui|xi) = i2.
What is an example of heteroscedasticity?Examples. When there is a significant disparity in the magnitude of the observations, heteroscedasticity frequently develops. An old-fashioned illustration of heteroscedasticity is the relationship between income and food expenses. The variability of eating habits will rise as income does as well.
Does heteroskedasticity make a difference?Because normal regression model (OLS) regression presumes that all royalties are taken from a population with constant variance, heteroscedasticity is a concern (homoscedasticity). The particles ought to have a standard deviation in order to meet the plugs and be capable of relying on the results.
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You are planning to evaluate the mean of a single continuous variable from a study with a sample of n = 25 using the t statistic. What are the degrees of freedom for the sample?
Answer: The degrees of freedom (df) for the sample in a t-test are calculated as df = n - 1, where n is the sample size.
In this case, the sample size is n = 25. Therefore, the degrees of freedom for the sample are:
df = n - 1 = 25 - 1 = 24
So, the degrees of freedom for the sample in this case is 24.
Step-by-step explanation:
Write a recursive sequence that represents the sequence defined by the following explicit formula:
The recursive sequence that represents the sequence defined by the following explicit formula is given as follows:
\(a_1 = -32\)\(a_{n + 1} = -\frac{1}{4}a_n\)What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.
The explicit formula of the sequence is given as follows:
\(a_n = a_1q^{n-1}\)
In which \(a_1\) is the first term.
The first term and the common ratio for this problem is given as follows:
\(a_1 = -32, q = -\frac{1}{4}\)
The common ratio means that each term is the previous term multiplied by -1/4, hence the recursive formula is given as follows:
\(a_{n + 1} = -\frac{1}{4}a_n\)
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explain how to write numbers in expanded form when the number includes a zero?
Step-by-step explanation:
Expanded notation may be defined as the way of expressing a number by exhibiting its value of each of the digit.
In an expanded notation, the number is always represented as a summation of each of the digit times its place value, while in the expanded form, an addition is used between the place value numbers.
A number containing zero can be written in the expanded form as for example,
509,300
Since digit 5 is 100,000th place, 9 is in 1,000th place and the digit 3 is 100th place, the number can be written as --
5 x 100,000 + 9 x 1,000 + 3 x 100
Gemma graph this set of points (0,5), (6,3), (6,-2), (0, -2) then connects them to create
a polygon. What shape did she draw?
A. Rectangle
B. Square
C. Parallelogram
D. Trapezoid
.
Answer:
D trapezoid
Step-by-step explanation:
i used the graphing demos
Fill in a negative integer to make the statement true
Answer:
-2
Step-by-step explanation:
-2 or negative 1 will work , they're both more
Answer:
-2 or -1
because those are both greater than -3
If Victoria's rent is $400 per month, and she pays an additional $150 for utilities and $35 for advertising each month, what is her cost function using the additional data from previous problem? Use C to denote cost and n for number of collars she makes.
Answer:
\(C(n) = 435n + 150\)
Step-by-step explanation:
Given
\(Base = 400\) -- Base charge per month
\(Utilities = 150\)
\(Adverts = 35\) per month
Required
The cost function
To do this, we multiply the rates by the number of months.
So, we have:
\(C(n) = Base * n + Adverts * n + Utilities\)
So, we have:
\(C(n) = 400 * n + 35 * n + 150\)
\(C(n) = 400n + 35n + 150\)
\(C(n) = 435n + 150\)
Which of the following numbers are between 2/5 and 7/8
15/16
3/4
3/8
1/3
Each face of a pyramid is an isosceles triangle with base 30m and vertical height 22m.
Calculate the area of one face.
Answer:
Step-by-step explanation:
a=\(\frac{1}{2}*30*22\)
=15*22
=330 m2
Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = (x + 2)(x − 1)(x − 2)
g(x) = (x + 3)(x + 2)(x − 3)
g(x) = (x + 2)(x − 2)(x − 3)
g(x) = (x + 5)(x + 2)(x − 5)
g(x) = (x + 7)(x + 1)(x − 1)
The zeros of g(x) = (x + 2)(x − 1)(x − 2) are x = -2, 1 and 2
The y-intercept is g(0) = 4The end behaviour is \(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)From the question, we have the following parameters that can be used in our computation:
The 5 functions of g(x)
To determine the key features of the function g(x), we make use of the first
g(x) = (x + 2)(x − 1)(x − 2)
So, we have
Zeros
This is when the function equals 0
(x + 2)(x − 1)(x − 2) = 0
Evaluate
x = -2, 1 and 2
The y-intercept
This is when the value of x in the function equals 0
g(0) = (0 + 2)(0 − 1)(0 − 2)
Evaluate
g(0) = 4
End behaviour
This is the behavior of the graph of the function as it approaches the ends of the x-axis
So, we have
\(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)
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Write a quadratic function to model the vertical motion for each situation, given h(t) equals negative 16t squared plus v0t+h0. Find the maximum height. Initial velocity 152
The maximum height reached by the ball is 908.5 feet.
Using the given values, we can substitute v0 = 152 and h0 = 6 into the equation:
\(h(t) = -16t^2 + 152t + 6\)
This quadratic function models the height of the ball at any time t after it is thrown.
To find the maximum height of the ball, we need to find the vertex of the parabolic curve described by the quadratic function. The vertex can be found using the formula:
t = -b / 2a
where a = -16 and b = 152 are the coefficients of the quadratic function.
t = -152 / 2(-16) = 4.75
So the maximum height is reached after 4.75 seconds. To find the maximum height, we can substitute this value back into the equation:
\(h(4.75) = -16(4.75)^2 + 152(4.75) + 6 = 908.5\)feet
Therefore, the maximum height reached by the ball is 908.5 feet.
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Question
A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 152 feet per second. Write a quadratic function to model the vertical motion of the ball, given that the height of the ball at time t is given by: h(t) = -16t^2 + v0t + h0
A data set includes the following test scores: 75, 82, 84, 62, 78. The score on a retake test is 96. It the retake score replaces the lowest test grade, how is the mean affected? A) The mean increases by 5. B) The mean increases by 6.8. C) The mean increases by 35. D) The mean does not change.
Answer:
B the mean increases by 6.8
What is the solution to the equation below?
7/8 (x - 1/2) = -49/80
a
1/5
b
6/5
c
-6/5
d
-1/5
Answer:
hence the value of x is -⅕
Identify the X intercept and the yIntercept of the line 4x-2y=-12
Answer:
X-intercept = -3 and y-intercept = 6
Step-by-step explanation:
We can start off by isolating the y term. To do that, we must add 2y to both sides to get
\(4x=2y-12\)
Now, we must add 12 to both sides and the y term will be all alone on the right side:
\(4x+12=2y\)
Now, to have only y on the right side, we must divide by 2 to get:
\(y=2x+6\)
In slope-intercept form, b is the y-intercept, and 'b' in this equation is 6. We have our y-intercept.
To find our x-intercept, y must be equal to zero. We can plug in that value for y and solve for x:
\(0=2x+6\)
We can start off by subtracting 6 from both sides to get:
\(2x=-6\)
We can then divide both sides to get \(x=-3\) when y is equal to 0. Thus, we have our x-intercept.
Answer:
y-intercept= -6
x-intercept= 3
Step-by-step explanation:
First, rearrange the equation to be in y=mx+b.
4x-2y=12
4x-12=2y
(1/2)(4x-12)=y
y=2x-6
From here, we know that the 'b' in an equation in form y=mx+b is the y-intercept, which is -6.
To find the x intercept make y=0 and solve.
You can also solve without rearranging the equation and simply making x=0 and solving to find the y-intercept. and making y=0 and solving to find the x-intercept.
The ratio of number of boys to girls in a classroom is 6 to 5. If there are a total
of 48 boys, find the number of girls in the classroom.
Answer:
40 girls
Step-by-step explanation:
To get the number of girl students, we first do 48 divided by 6 to get 8. Then we do 8 x 5 to get 40.
What inequality is shown by the graph?
18624 to the nearest ten
Answer:
nearest 10= 18620
have a nice day
Answer:
18624 to the nearest ten= 18620
Solve the equation X-12/4=9
X=44
X=83
X=48
X=25
Answer:
X=48
Step-by-step explanation: