a. The total cost is $310.64. b. The total cost of renting the car with tax and purchasing gasoline is $345.99.
What distinguishes a fixed cost from a variable cost?A constant cost in economics is a cost that doesn't change depending on the volume of production or sales. Rent, wages, and insurance premiums are some instances of fixed costs. Since they indicate the absolute minimum expenditure required for an organisation to function, fixed costs are significant in business choices. Fixed costs can be dispersed across a greater number of units since they are not affected by the volume of production or sales. This can lower the per-unit cost of manufacturing.
Given that, the car rents for $229.00 per week with no charge for mileage. Her gasoline cost is $81.64.
a. Total cost = $229.00 + $81.64 = $310.64
b. If the rental is subject to a 15% state and local tax, then the additional cost is:
0.15 x $229.00 = $34.35
$229.00 + $34.35 + $81.64 = $345.99
The total cost of renting the car with tax and purchasing gasoline is $345.99.
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Alan and Bill at the amount of money they each have and it comes to a total of 250 kroner. Bill and Cassie also at the amount of money they each have that comes to a total of 475 kroner. If all three of them together have a total of 520 kroner how much money does bill have?
If all three of them together have a total of 520 kroner then bill would have 205 kroner
amounts of money that Alan, Bill, and Cassie have:
Let A be the amount of money that Alan has.
Let B be the amount of money that Bill has.
Let C be the amount of money that Cassie has.
From the problem, we know that:
A + B = 250 (equation 1)
B + C = 475 (equation 2)
A + B + C = 520 (equation 3)
We want to solve for B, the amount of money that Bill has.
One way to do this is to use equation 1 to solve for A in terms of B:
A = 250 - B
We can then substitute this expression for A into equations 2 and 3:
(250 - B) + B + C = 520
Simplifying this equation, we get:
C = 270
Substituting this value of C into equation 2, we get:
B + 270 = 475
Solving for B, we get:
B = 205
Therefore, Bill has 205 kroner.
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Arrange these integers from smallest to greatest (ascending order): 2; -2; 3; -3; 6; -6; 0
Answer:
-6, -3, -2, 0, 2, 3, 6
Step-by-step explanation:
Normally the biggest number has the bigger value but in negative integers the smaller number has the bigger value.
Eg- If you have 2 dollars it is bigger that -2 dollars as then you will be going in dept.
-5 is smaller than -1
-1 is the greatest negative integer.
Please Help Me!!!
The width of a rectangle measures (9. 8g-4. 5h) centimeters, and its length measures (1. 5g-3. 4h) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
The expression that represents the perimeter of the rectangle in centimeters is 45.2g - 30.6h.
Let's start by finding the length of the top and bottom sides, which are equal to the width. The width is given by (9.8g - 4.5h) centimeters, so the length of the top and bottom sides is:
2(width) = 2(9.8g - 4.5h) = 19.6g - 9h
Next, we need to find the length of the left and right sides, which are equal to the length. The length is given by (1.5g - 3.4h) centimeters, so the length of the left and right sides is:
2(length) = 2(1.5g - 3.4h) = 3g - 6.8h
Now that we have the lengths of all four sides, we can find the perimeter of the rectangle by adding them together:
Perimeter = length + width + length + width
Perimeter = (3g - 6.8h) + (19.6g - 9h) + (3g - 6.8h) + (19.6g - 9h)
Perimeter = 45.2g - 30.6h
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A rectangular prism. A is an edge, B is a vertex, and C is a face.
Label the highlighted parts of this prism.
A is
.
B is
.
C is
The volume of the rectangular prism can be calculated by using the formula V = lwh, where l is the length, w is the width, and h is the height.
The volume of a rectangular prism can be calculated by the formula V = lwh, where l is the length, w is the width, and h is the height. To calculate the volume of a rectangular prism, first measure the length, width, and height of the prism. Then, plug these measurements into the formula V = lwh and solve for V.
For example, if the length of the prism is 6 cm, the width is 5 cm, and the height is 4 cm, the volume can be calculated by plugging these values into the formula. V = 6 x 5 x 4 = 120 cm3. This means that the volume of this rectangular prism is 120 cm3.
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Complete question:
What are the labels for the highlighted parts of a rectangular prism: A, B, and C?
Answer:
A. is an edge
B. a vertex
C. a face
Step-by-step explanation:
I have this same question now and got this. If you need more proof then look at attachment.
9, 15, 3√35 as a classified triangle
A triangle with sides lengths 9, 15, and 3√35 would be classified as a scalene triangle.
What are the types of triangle?In Geometry, there are five (5) major types of triangle based on the length of their sides (side lengths) and angles, and these include the following;
Equilateral triangleScalene triangleIsosceles triangleObtuse triangleRight-angled triangleWhat is a scalene angle?In Mathematics and Geometry, a scalene triangle can be defined as a type of triangle that has all of its three (3) sides and interior angles different in length and size respectively.
Since the given side lengths 9, 15, and 3√35 units are all different, we can logically deduce that they would form a scalene triangle.
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help asap math sp polonomials
Therefore, the total area of Riley's backyard is. [tex]6x^2-19x+8[/tex].
What is length?Length is a measure of distance or extent, typically referring to the measurement of an object or distance in one dimension. It describes how long an object or distance is, usually in units such as meters, feet, or inches. Length is one of the fundamental physical quantities, and is used in various fields including mathematics, physics, engineering, and construction. It is often represented by the symbol "L" or lowercase "l".
To find the area of the backyard, we need to multiply the length and width of the rectangular shape.
Length of the backyard = 3x - 8
Width of the backyard = 2x - 1
Area of the backyard = Length x Width
[tex]\\= (3x - 8)(2x - 1)\\= 6x^2 - 19x + 8[/tex]
Therefore, the total area of Riley's backyard is [tex]6x^2-19x+8[/tex]
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Solve the equation by using the Square Root Property.
(x+2) 2=64
Answer:
x=-2+-8
Step-by-step explanation:
If you mean (x+2)^2=64
take the sqrt of both sides and get x+2 = +-8
then subtract 2 to get -2+-8 = x
can you factor this completely x^4-16x^3+15x^2
Answer:
(x-15)(x-1) x²
Step-by-step explanation:
x² (x²-16x+15)
a+b=-16
ab=15
a=-15
b=-1
x(x²-15)- (x-15)
(x-15)(x-1)
(x-15)(x-1) x²
MATH CHALLENGE!!! Worth 50 ptssss!!
Answer:
Step-by-step explanation:
3=k jsdna no I don't want you in my car so you have a lot to say about the other things I have for the past year so we can see it
Find the measure of
x=12°
so:(2x+1°)°+(5x+5)°+90°=180°
7x=180°-1°-5°-90°
7x=84°
x=84°÷7
x=12°
i don't know if it is x that you wanted but the it is
One zero of the polynomial is given. Use it to express the polynomial as a product of linear factors over the complex numbers f(x) = + ? + 3x + 3. zero: 3 = 1 One zero of the polynomial is given. Use it to express the polynomial as a product of linear factors over the complex numbers. f(x) = ** - 3x + 8r - 18.6 +12; zero: 0 = 2 Due in 8 hours Construct a polynomial of least degree possible using the given information. Real roots: -1,4, - 3 and contain the point (1, 3). Construct a polynomial of least degree possible using the given information. Real roots: 4, 3 (with multiplicity 2 and 1) and (-1, f(-1)) = (1,1) Preview
One zero of the polynomial is given. Use it to express the polynomial as a product of linear factors over the complex numbers.
Given: f(x) = x^2 + 3x + 3 and zero: 3
Here's how to approach this problem:
The polynomial f(x) has a root of 3.
f(x) can be expressed as a product of two factors, where the first factor contains (x-3) as one of its roots, as follows:
f(x) = (x-3)(ax + b)
We can obtain the values of a and b by equating the coefficients of this equation to that of the given polynomial:
a + 3 = 1 (since coefficient of x in the given polynomial is 3)
-3a + b = 3 (since the constant term in the given polynomial is 3)
Solving these equations gives us a=-2 and b=9.
f(x) can thus be expressed as:
f(x) = (x-3)(-2x + 9)
Hence, the expression for the polynomial is f(x) = -(x-3)(2x-9).
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Each box of Marco's favorite cookies costs $4. 0. Which is the dependent and independent variable?
In this scenario, the dependent variable is the cost of the boxes of cookies and the independent variable is the number of boxes of cookies being purchased.
The cost of the boxes of cookies depends on the number of boxes being purchased. The more boxes of cookies that are purchased, the higher the cost will be. Therefore, the cost of the boxes of cookies is the dependent variable, as it depends on the independent variable of the number of boxes being purchased.
Conversely, the number of boxes of cookies being purchased is the independent variable, as it is the variable that is being manipulated or changed. The cost of the boxes of cookies is not being changed, but rather is dependent on the number of boxes being purchased.
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I need help with this now!
thank u.
6 hours and 57 minutes to fill the order if they work together.
experiments on learning in animals sometimes measure how long it takes for mice to find their way through a maze. The mean time is 18 seconds for one particular maze. A researcher thinks that a loud noise will cause the mice to complete the maze faster. She measures how long each of 36 randomly selected lab mice takes with noise as stimulus. Her sample data yielded a mean of 16. 5 seconds and a standard deviation of 6. 4 seconds
This indicates that the mean of the sample (16.5 seconds) is statistically significantly lower than the mean of the population (18 seconds). Therefore, the researcher can conclude that the noise does cause the mice to complete the maze faster.
Using a two-tailed t-test with a significance level of 0.05, the researcher can conclude that the noise does cause the mice to complete the maze faster. The test statistic for this experiment is -2.097, which is less than the critical value of -1.68. This indicates that the mean of the sample (16.5 seconds) is statistically significantly lower than the mean of the population (18 seconds). Therefore, the researcher can conclude that the noise does cause the mice to complete the maze faster.
the complete question is :
experiments on learning in animals sometimes measure how long it takes for mice to find their way through a maze. The mean time is 18 seconds for one particular maze. A researcher thinks that a loud noise will cause the mice to complete the maze faster. She measures how long each of 36 randomly selected lab mice takes with noise as stimulus. Her sample data yielded a mean of 16. 5 seconds and a standard deviation of 6. 4 seconds. what can you conclude from the sample data ?
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Which Rational Expression is undefined when x=0?
Answer:
Step-by-step explanation:
last one since if you plug in zero for the x in the denominator you get 0 and if you have 0 in the denominator it's always undefined
2y−3x=4 write this equation is slope intercept form
Answer:
[tex]y = \frac{3}{2} x + 2[/tex]
Step-by-step explanation:
[tex]2y - 3x = 4[/tex]
[tex]y - \frac{3}{2} x = 2[/tex]
[tex]y = \frac{3}{2} x + 2[/tex]
The country of Sylvania has decided to reduce the number
3
of its illiterate citizens by
5 each year. This year there are
9000 illiterate people in the country. Write a function that gives the number of illiterate people in Sylvania, P(t), t years from today
There will be 8980 illiterate people in Sylvania 4 years from now if the country continues to reduce the number of illiterate citizens by 5 each year.
We can write a function P(t) to represent the number of illiterate people in Sylvania t years from today, where t is the number of years after the current year.
Given that the country has decided to reduce the number of illiterate citizens by 5 each year, we can subtract 5 from the number of illiterate people each year.
The initial number of illiterate people in the country is 9000. So, the function can be written as:
P(t) = 9000 - 5t
where t is the number of years after the current year.
For example, if we want to find out how many illiterate people will be in Sylvania in 4 years from now, we can substitute t with 4:
P(4) = 9000 - 5(4) = 9000 - 20 = 8980
Therefore, there will be 8980 illiterate people in Sylvania 4 years from now if the country continues to reduce the number of illiterate citizens by 5 each year.
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Evaluate the function for the given value of x. y = (1.2)^x ; x = 2
The solution, when x = 2, will be y = 1.44, according to the facts provided.
What are the definition and examples of value?Value refers to how little something is valuable, either financially or in terms of significance. It can also imply "determine how very much something that is worth," as in a reward with a $200 value. As a verb, it indicates "keeping something in high regard" (such "I value our friendship").
We can evaluate this function y = (1.2)ˣ at x = 2 by merely adding x = 2 to the formula for y.
y = (1.2)ˣ
y = (1.2)ˣ (substitute x = 2)
y = 1.44
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can someone tell me the algebraic representation pls
Answer:
Triangle XYZ is shifted 9 units to the right, then 4 units down.
Find X and Order angles from smallest to largest
The value of x is 10 and the trapezoid has two base angles with measure 40 degrees and two non-base angles with measure 140 degrees.
What is the congruent angle?
When two parallel lines are cut by a transversal, the angles that are on the same side of the transversal and in matching corners will be congruent.
In an isosceles trapezoid, the base angles (the angles opposite the parallel sides) are congruent. Let's call each of these angles "a". Then, we have:
a = 3x + 10 (from one of the congruent angles)
a = 5x - 10 (from the other congruent angle)
Setting these two expressions equal to each other, we get:
3x + 10 = 5x - 10
Solving for x, we get:
2x = 20
x = 10
Now that we know the value of x, we can substitute it back into either of the expressions for "a" to find the measure of each base angle:
a = 3x + 10 = 3(10) + 10 = 40
Therefore, each base angle of the trapezoid has measure 40 degrees.
The other two angles of the trapezoid are the non-base angles (the angles adjacent to the parallel sides).
These angles are supplementary to the base angles, so each non-base angle has measure:
180 - 40 = 140
Therefore, the value of x is 10 and the trapezoid has two base angles with measure 40 degrees and two non-base angles with measure 140 degrees.
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Compare two functions, f(x) and g(x). f(x) is given by the following equation
and g(x) is shown in the graph below. Which of the following statements below is true?
f [x] = 0.5^x - 3
Both functions have the same y-intercept.
f(x) is an increasing exponential function.
g(x) has a greater y-intercept.
f(x) has a greater y-intercept.
Answer:
True answers:
f(x) is an increasing exponential function.
f(x) has a greater y-intercept
Step-by-step explanation:
Option 1:
Both functions have the same y-intercept is FALSE
The y-intercept of f(x) is found by plugging in 0 for x
[tex]f(0) = 5^0 - 3 = 1 - 3 = -2[/tex]
The intercepts are different, so option 1 is FALSE.
Option 2:
f(x) is an increasing exponential function is TRUE
the largest term is positive and exponential.
Option 3:
g(x) has a greater y-intercept. is FALSE
The y-intercept of g(x) is -3, and the y-intercept of f(x) is -2. -2 > -3
Option 4:
f(x) has a greater y-intercept is TRUE
The y-intercept of g(x) is -3, and the y-intercept of f(x) is -2. -2 > -3
Q2. It is recommended to drink a maximum of 2 litres of
water per day.
True
False
Answer: True
Step-by-step explanation:
It is generally recommended that adults drink at least 8 cups or 2 liters of water per day to maintain proper hydration.
PLEASE HELP I HAVE TO FINISH BY TODAY WILL MARK BRAINLIEST
What is the period of the function?
A) 2π
B) 4π
C) 6π
D) 8π
Answer:
d
Step-by-step explanation:
How many rational numbers are there between 0 and 5
Answer: infinity technically the answer is infinity
nothing less nothing more
Step-by-step explanation:
PLEASE WORD ANSWER I CAN USE FAST
WILL MARK BRAINLIEST
Answer:
62/3
Step-by-step explanation:
As it's a rectangle do the area is equal A = L*W
SO
[tex](7 \times \frac{3}{4} ) \times( 2\times \frac{2}{3} )[/tex]
Step-by-step explanation:
2 2/3 × 7 3/4
turn these into improper fractions =8/3 × 31/3
times the numerator and denominator together= 248/9
248/9 simplified=27.5555555 or 27 5/9 as a fraction
A company's circular logo, printed on a poster, has a radius of 1.25 feet and an area of about 5 square feet. The logo is being scaled up so it can be painted on a billboard. The equation k = √ A/5
shows the scale factor, k, that is needed to achieve an area A. A graph
of the equation is shown.
The company has 240 square feet worth of paint. If they want to use all their paint,
approximately what scale factor should they apply to the logo, and what will the dilated
logo's radius be?
The radius οf the dilated lοgο will be apprοximately 8.66 feet.
What is the scale factοr?The scale factοr is a number that represents the ratiο οf the cοrrespοnding side lengths οf twο similar figures. It can be used tο enlarge οr reduce the size οf a figure by a certain percentage οr factοr.
The area οf the lοgο is given as 5 square feet, and the radius οf the lοgο is 1.25 feet.
Therefοre, we can find the scale factοr as fοllοws:
k = √(A/5) = √(240/5) = √48 ≈ 6.93
Sο the scale factοr is apprοximately 6.93. Tο find the radius οf the dilated lοgο, we multiply the οriginal radius by the scale factοr:
r' = kr = 6.93(1.25) = 8.66
Hence, the radius οf the dilated lοgο will be apprοximately 8.66 feet.
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A sample of n=25 observations is drawn from a normal population with μ=100 and σ=2,. Find the following. i) P( X <96) ii) P(96< X <105)
Part b) ( 8 marks) The amount of time the university professors devote to their jobs per week is normally distributed with a mean of 52 hours and a standard deviation of 6 hours. i) What is the probability that a professor works for more than 60 hours per weeks? ii) Find the probability that the mean amount of work per week for three randomly selected professors is more than 60 hours? Part a) (7 marks) Calculate the value of the test statistic, set up the rejection region, undertaking hypothesis test and interpret the result.
P(X > 60) = P(Z > 1.7321) = 0.0418
When answering questions on Brainly, it is important to be factually accurate, professional, and friendly. Additionally, answers should be concise and relevant to the question being asked. When possible, provide a step-by-step explanation using the following terms: sample, observation, and probability. In this particular question, the following information is provided:Part a) A sample of n=25 observations is drawn from a normal population with μ=100 and σ=2. Find the following: i) P(X < 96) ii) P(96 < X < 105)Part b) The amount of time university professors devote to their jobs per week is normally distributed with a mean of 52 hours and a standard deviation of 6 hours. Find the probability that a professor works for more than 60 hours per week. Find the probability that the mean amount of work per week for three randomly selected professors is more than 60 hours.Part a) Calculate the value of the test statistic, set up the rejection region, undertake the hypothesis test, and interpret the result.
i) P(X < 96)First, we calculate the z-score as follows:z = (X - μ) / σ = (96 - 100) / 2 = -2P(X < 96) = P(Z < -2) = 0.0228ii) P(96 < X < 105)We first calculate the z-scores for both X values as follows:z1 = (X1 - μ) / σ = (96 - 100) / 2 = -2z2 = (X2 - μ) / σ = (105 - 100) / 2 = 2.5Next, we look up the area between these two z-scores using a standard normal distribution table. We have: P(96 < X < 105) = P(-2 < Z < 2.5) = 0.9944 - 0.0228 = 0.9716b) i) Probability that a professor works for more than 60 hours per weekWe first calculate the z-score as follows:z = (X - μ) / σ = (60 - 52) / 6 = 1.3333Using a standard normal distribution table, we find the area to the right of the z-score as follows:P(X > 60) = P(Z > 1.3333) = 0.0912ii) Probability that the mean amount of work per week for three randomly selected professors is more than 60 hoursLet X be the random variable representing the mean amount of work per week for three randomly selected professors. We know that X ~ N(μ, σ / sqrt(n)), where μ = 52, σ = 6, and n = 3. We calculate the z-score as follows:z = (X - μ) / (σ / sqrt(n)) = (60 - 52) / (6 / sqrt(3)) = 1.7321Using a standard normal distribution table, we find the area to the right of the z-score as follows:P(X > 60) = P(Z > 1.7321) = 0.0418Part a) Calculate the value of the test statistic, set up the rejection region, undertake the hypothesis test, and interpret the result.No information is provided about the hypothesis test in Part a of the question, so it is not possible to provide an answer to this part. Please provide more information or clarify the question if possible.
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The mayors of old town and newborn were having a disagreement about which city was more popular. They made the table below to show the population of their cities for the past several years.
Therefore, based on the data provided, Oldtown is more popular than Newburg.
How to solve thisTo determine which city is more popular, we need to compare their populations for each year.
In 2015, Oldtown had a population of 1518, which is significantly larger than Newburg's population of 100. Therefore, Oldtown was more popular in 2015.
In 2016, Oldtown's population increased to 1643, while Newburg's population increased to 110. Again, Oldtown had a larger population and was more popular.
In 2017, Oldtown's population increased to 1768, while Newburg's population increased to 121. Once again, Oldtown had a larger population and was more popular.
In 2018, Oldtown's population increased to 1893, while Newburg's population increased to 133. Yet again, Oldtown had a larger population and was more popular.
Therefore, based on the data provided, Oldtown is more popular than Newburg.
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The mayors of old town and newborn were having a disagreement about which city was more popular. They made the table below to show the population of their cities for the past several years.
2015 Newburg Population 100. Oldtown Population 1518
2016 Newburg Population 110. Oldtown Population 1643
2017 Newburg Population 121. Oldtown Population 1768
2018 Newburg Population 133. Oldtown Population 1893
Which city is more popular?
Which number line model represents the expression
2. 5
+
4. 5
The number line model begins at 2.5 and then adds 4.5 to it, resulting in the number 7 being plotted at the end of the line.
The number line model for the expression 2.5 + 4.5 is shown below. The equation for this expression is 2.5 + 4.5 = 7. This number line model illustrates this expression by starting at the number 2.5 and then adding 4.5 to it, which results in the number 7 being plotted at the end of the line. This is represented by the arrow extending from 2.5 to 7. Starting at 2.5, the arrow first passes through 3, then 4, then 5, then 6, before finally reaching 7. This is the result of adding 4.5 to 2.5, which is shown on the number line model.The expression 2.5 + 4.5 can also be written mathematically as 2.5 + 4.5 = 7. This equation is read as "2.5 plus 4.5 equals 7," and it is a statement that the sum of 2.5 and 4.5 is equal to 7. The number line model of this expression illustrates this mathematical equation by showing how 2.5 plus 4.5 equals 7. The number line model begins at 2.5 and then adds 4.5 to it, resulting in the number 7 being plotted at the end of the line.
|-----|-----|-----|-----|-----|-----|
0 1 2 3 4 5 6
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Which number line model represents the expression 2.5 + 4.5?
Function g is the result of these transformations on the parent sine function: vertical stretch by a factor of 3 horizontal shift left units vertical shift down 4 units Substitute the values of A, C, and D to complete the equation modeling function g
The equation modeling function g after the given transformations on the parent sine function is:
g of (x) = A x sine(C(x minus D))+k
where A is the vertical stretch factor, C is the reciprocal of the horizontal stretch factor, D is the horizontal shift, and k is the vertical shift.
Substituting the given values, we get:
g of (x) = 3*sine((1/1)(x+1))+(-4)
Simplifying further, we get:
g of (x) = 3*sine of (x+1)-4
Therefore, the equation modeling function g is g of (x) = 3*sine(x+1)-4 after the given transformations on the parent sine function.
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