2 points How Did I Do? The cost of renting a car is $42 /week plus $0.25 /mile traveled during that week. An equation to represent the cost would be y=42+0.25x , where x is the number of miles traveled.

Answers

Answer 1

The equation to represent the cost of renting the car, given the cost per week and the cost per mile, is y = 42 + 0.25x.

How to formulate the equation ?

The total cost of renting the car at any given point, would be:

= Cost to rent per week + ( Cost per mile x Number of miles driven)

If we assume the number of miles driven is denoted by x, then the equation becomes :
= 42 + 0. 25 x

If we further take y to be the total cost, the equation then becomes :

y = 42 + 0. 25 x

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Related Questions

if you had had a dog and a cat how many horses would u have

Answers

Answer: a lot

Step-by-step explanation:

Answer:

ummmm none? maybe

Step-by-step explanation:

S+S+S+S AND 4S I don't know it could someone help me who knows it is it equivalent or not equivalent

Answers

Yes, the expressions S+S+S+S AND 4S as required in the task content are equivalent expressions.

Are the given expressions equivalent expressions?

It follows from the task content that the expressions given S+S+S+S AND 4S are to be compared and determine if they are equivalent or not.

Since the given expressions are; S + S + S + S and 4S.

S + S + S + S can be written by factorisation as;

S ( 1 + 1 + 1 + 1 ) = S (4)

= 4S.

On this note, it can be inferred that the two expressions given are equivalent expressions.

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Please define the following: Revenue, Cost and Profit VS
Marginal Revenue, Marginal Cost and Marginal Profit.

Answers

The additional expense brought on by reducing the quantity is known as the cost. An additional expense "at the margin" is another name for this. The extra income that results from raising the supply is known as the marginal revenue.

What is Cost and Profit?

Profit is defined as the difference of revenue and cost (determined by deducting cost from revenue. when revenue exceeds operational expenses, the difference between them is called the operating profit.

The additional money "at the margin" is another name for this.The money left over after a corporation pays its bills and expenses is known as its profit. Costs are the out-of-pocket expenditures comes to making, producing, and marketing the company's goods and services.

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A particle moves with velocity function v(t) = −t2 + 5t − 3, with v measured in feet per second and t measured in seconds. Find the acceleration of the particle at time t = 3 seconds.

Answers

The acceleration of the particle is 1 foot per second square

How to determine the acceleration of the particle?

From the question, we have the following parameters that can be used in our computation:

Velocity function v(t) = −t2 + 5t − 3

Express properly

So, we have

v(t) = -t² + 5t − 3

At time t = 3 seconds, we have

v(3) = -(3)² + 5(3) − 3

Evaluate

v(3) = 3

So, we have

Acceleration = v(3)/3

This gives

Acceleration = 3/3

Evaluate

Acceleration = 1 foot per second square

Hence, the acceleration is 1 foot per second square

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help with explanation if possible​

Answers

448sqft should be the answer because you multiply them

Answer: 448

Step-by-step explanation: Parallelogram formula base times height

Solve ^4√5x - 4 =1

A) x = 625

B) x = 81∕5

C) x = 25

D) x = 125

Answers

x=125

...............

if its a linear equation in two variables

Answers

Answer:

SOLVE A SYSTEM OF LINEAR EQUATIONS BY GRAPHING.

Graph the first equation.

Graph the second equation on the same rectangular coordinate system.

Determine whether the lines intersect, are parallel, or are the same line.

Identify the solution to the system. ...

Check the solution in both equations.

Step-by-step explanation:

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero. For example, 10x+4y = 3 and -x+5y = 2 are linear equations in two variables.

2 Justin had 3 rolls of ribbon. He used of a roll of ribbon to tie a parcel and 5 of another roll of ribbon to tie a present. How many rolls of ribbon did he use in all? How many rolls of ribbon did Justin have left?​

Answers

Answer:1 roll of ribbon left

Step-by-step explanation:

Check
Annie is comparing the cost to ship a package. One shipping
pound a package weighs. Another shipping company charges $5 for
company charges $7 for the first pound and $0.20 for each additional
the first pound and $0.30 for each additional pound.
Part A
Which equation could be used to determine p, the number of
when the costs for the two shipping companies are the same?
7+0.20p = 5 +0.30p
7+20p = 5 + 30p
A7+0.30p=5+0.20p
B0.20+7p = 0.30 + 5p
Part B
Show
pounds,
For how many pounds is the cost of the two shipping companies the
same?

Answers

Part A: The equation could be used to determine p is B0.20+7p = 0.30 + 5p Part B: Two shipping companies is the same for 25 pounds. Company 1 = $7 + (25 - 1) x $0.20 = $11.80 Company 2 = $5 + (25 - 1) x $0.30 = $11.80.

How to find pounds is the cost of the two shipping companies?

The cost of shipping through two different companies will depend on a variety of factors.

These factors may include the weight and size of the package, the distance it needs to travel, the speed of delivery, and any additional services requested.

Additionally, the cost of shipping may also depend on the type of shipping service used (e.g. ground, air, or express).

To find out the cost of shipping through two different companies, it is best to contact each company directly. This can usually be done by phone, email, or through their website.

Each company will be able to provide a quote based on the package’s specifications. It is then possible to compare the cost of the two shipping companies and determine whether or not the cost is the same.

It is important to note that companies may offer discounts or other incentives for shipping with them.

Therefore, it is important to pay attention to any additional fees or discounts that may apply in order to get the best deal.  

Comparing the cost of two different shipping companies can help to ensure that the most cost-effective option is chosen.

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Find tan0, where 0 is the angle shown.
Give an exact value, not a decimal approximation.

Answers

The exact value of tan  θ = 15/ 8

What are trigonometric identities?

Trigonometric Identities are defined as the equalities involving trigonometry functions and also one that holds true for all the values of the variables  in the given equation.

The trigonometric functions are;

sinecosinetangentcotangentsecant

From the information given, we have;

tan θ = opposite/ adjacent

To determine the adjacent sent

17² - 15² = x²

x = √64

x = 8

Substitute the value

tan θ = 15/8

Hence, the value is 15/8

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Which equation justifies why ten to the one third power equals the cube root of ten?

ten to the one third power all raised to the third power equals ten to the one third plus three power equals ten

ten to the one third power all raised to the third power equals ten to the one third times three power equals ten

ten to the one third power all raised to the third power equals ten to the three minus one third power equals ten

ten to the one third power all raised to the third power equals ten to the one third minus three power equals ten

Answers

The equation that justifies  ten to the one third power equals the cube root of ten is ten to the one third power all raised to the third power equals ten to the one third times three power equals ten. Option B

How to justify the power

we are to find [tex]10^{\frac{1}{3} } = \sqrt[3]{10}[/tex]

The justification has to be done with the use of the properties of powers as well as roots.

[tex]a^\frac{m}{n} = \sqrt[n]{a^m}[/tex]

then we would have:

[tex]\sqrt[3]{10} = \sqrt[3]{10^1} =10^\frac{1}{3}[/tex]

then we would have

[tex](10^\frac{1}{3} )^3\\\\= 10^\frac{3}{3}[/tex]

= 10

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The value of 1/2÷1/3=

Answers

The answer is 3/2 or 1 1/2

Explanation: Since you are diving fractions you switch the division to multiplication and flip 1/3 to 3/1. Then multiply 1/2 x 3/1

Select three correct interpretations about the graph of r(t).
T
A. The average mortgage rate increased continuously
between 2003 and 2005.
B. The average mortgage rate fell to a relative minimum
between 2002 and 2003.
C. Based on the y-intercept, the average mortgage rate in
2010 was about 7.7%.
X
D. Based on the absolute maximum, the average
mortgage rate was highest between 2006 and 2007.
E. An appropriate domain for this function is 0≤t≤10

Answers

Answer: The correct interpretations about the graph of r(t) are B, D, and E.

Interpretation B is correct because the graph shows that the average mortgage rate fell to a relative minimum between 2002 and 2003.

Interpretation D is correct because the graph shows that the average mortgage rate was highest between 2006 and 2007, based on the absolute maximum.

Interpretation E is correct because an appropriate domain for this function would be 0≤t≤10, as t represents time and the graph shows data for the period between 2002 and 2010.

Interpretation A is not correct because the graph does not show that the average mortgage rate increased continuously between 2003 and 2005.

Interpretation C is not correct because the y-intercept does not represent the average mortgage rate in 2010. The y-intercept represents the value of the function when t = 0, which does not correspond to any time in the given data.

Step-by-step explanation:

a parking lot contains only cars and motor bikes. if there are 18 vehicles and 50 tires in the parking lot, how many cars and bikes are there?

Answers

Answer:

Step-by-Step:5 cars and 14 bikes

FIND THE SLOPE . THE PICTURE ATTACHED IS THE FULL QUESTION ,

Answers

Answer:

-12/5

Step-by-step explanation:

slope = change in y / change in x

change in y = 12 (from top to bottom) = 6 - (-6)

change in x = -5 (from top to bottom) = -2 -3

slope = 12/-5 = -12/5

19.
A box contains only quarters and dimes. If there were 10% more quarters, the total
value of the money in the box would increase by 7.5%. What is the ratio of the number of quarters to the
number of dimes in the box? Express your answer as a common fraction.

Answers

Answer:

The ratio of the number of quarters to the number of dimes in the box is 9:10

Step-by-step explanation:

Visually estimate the location of the centroid of the region shown. Then find the exact coordinates of the centroid.
y=49-x², y = 0

Answers

Therefore exact coordinates of Centroid  = (0,3/2)

Define Centroid.

The centroid of a flat figure or solid figure, also known as the geometric center or center of figure, in mathematics and physics, is the arithmetic mean position of all the points on the figure's surface. Any n-dimensional Euclidean object is included by the same definition.

What is Triangle?

A polygon having three edges and three vertices is called a triangle. It is one of the fundamental geometric forms. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

This region is a parabola opening downward, with vertex at (0, 49) and a range of y values from 0 to 49. The region is symmetric about the y-axis, This means that the x-coordinate of the centroid is at 0.

To find the y-coordinate:

Integral from -√(49) to √(49) of (49-x²) x dx = [x²(49-x²)/3] from -√(49) to √(49) = (492√(49))/3 = (98√(49))/3

The area is integral from -√(49) to √(49) of (49-x²) dx = [x(49-x²)/2] from -√(49) to √(49) = (49*(2√(49)) - (2/3)(49^(3/2)))/2 = (49*(2*√(49)) - (98√(49))/3)/2

Therefore Centroid = (0, (98√(49))/(49*(2*√(49)) - (98√(49))/3)) = (0,3/2)

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19,22,25,28 the 11nth term

Answers

Answer:

31 hecause the èattern is adding 3

Step-by-step explanation:

Evaluate fraction with negative 3 raised to the seventh power times negative 3 squared in the numerator and negative 3 raised to the fifth power in the denominator.

−81
−27
27
81

Answers

Answer:

Last option, 81.

Step-by-step explanation:

Evaluate, [tex]\frac{(-3)^{7}(-3)^{2} }{\ (-3)^{5} }[/tex]

[tex]\frac{(-3)^{7}(-3)^{2} }{\ (-3)^{5} }[/tex] => [tex]\frac{(-3)^{7+2} }{\ (-3)^{5} }[/tex] => [tex]\frac{(-3)^{9} }{\ (-3)^{5} }[/tex] => [tex](-3)^{9-5}[/tex] => [tex](-3)^{4}[/tex] => [tex](-3)(-3)(-3)(-3)[/tex] => [tex]81[/tex]

What is the value of the expression below?
−2
1
3
− 3
5
6
+ 1
1
3
?

Answers

Answer:

Step-by-step explanation:

The expression you've provided is a combination of several fractions, but it's not clear how they are supposed to be combined. Without more information, it's impossible to know what the value of the expression is.

It would be helpful if you could provide more context or clarify how you want the fractions to be combined.

I can only tell you how the fraction works in mathematics and how you can evaluate the value of it if you have the complete information.

What is the product of this expression? −1/4(8x−3/4)

Answers

Answer:

-6.1625

Step-by-step explanation:

-1/4=-0.85

-3/4=-0.75

-0.85*8x=-6.8

-0.85*-0.75=0.6375

-6.8+0.6375=-6.1625

Given equation (x+y)/3= 24 _ x
Rewrite the equation in slope intercept form .

Answers

Answer:

(y+72)

I'm not sure because your answer is not very clear

8+ ((3² x 6)- 18) ÷ 9

Answers

the answer is to this problem is 12

Find the missing angle measure. Round to the nearest degree. cos 0 = 0.9563

Answers

The measure of the missing angle is 17 degrees.

Cosine as an example of trigonometric functions.

Trigonometry is a method that can by used to solve questions involving the application of functions. Some examples of trigonometric functions are: Sine, Cosine, Tangent, Secant, Cotangent etc.

Now considering the given question, we are to find the measure of the missing angle. We have;

cos θ = 0.9563

where θ is the missing angle the value of which is to be determined.

Thus, divide both sides of the expression by cos to have;

cos θ/ cos = 0.9563. cos

θ = cos^-1 0.9563

θ = 17.0 degrees

Therefore, the value of the missing angle is 17 degrees.

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2. A number m is less than -3 or greater than or equal to 1.

Answers

The absolute value of m is equal to the positive distance between m and 0.

What is value?

Value is an important concept in economics, finance, and accounting. It is the worth of a thing, such as a product, service, or currency. Value can be determined by the amount of goods or services it can exchange for, or the amount of money it can produce. Value is subjective, so it is up to the individual to decide what is valuable to them. Value is also a measure of the relative worth of a good or service, and it can have an effect on the price of a good or service. Value is an important concept to understand in economics, finance, and accounting.

The absolute value of m can be calculated by taking the distance between m and 0, regardless of whether m is negative or positive. For example, if m is -7, the absolute value of m is 7, since the distance between -7 and 0 is 7. If m is 3, then the absolute value of m is also 3, since the distance between 3 and 0 is also 3.

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The absolute value of m is equal to the positive distance between m and 0.

What is value?

Value is an important concept in economics, finance, and accounting. It is the worth of a thing, such as a product, service, or currency. Value can be determined by the amount of goods or services it can exchange for, or the amount of money it can produce. Value is subjective, so it is up to the individual to decide what is valuable to them. Value is also a measure of the relative worth of a good or service, and it can have an effect on the price of a good or service. Value is an important concept to understand in economics, finance, and accounting.

The absolute value of m can be calculated by taking the distance between m and 0, regardless of whether m is negative or positive. For example, if m is -7, the absolute value of m is 7, since the distance between -7 and 0 is 7. If m is 3, then the absolute value of m is also 3, since the distance between 3 and 0 is also 3.

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Find a formula for RN for the function f(x) = (5x)² on [-1, 5] in terms of N.

Could you please show the work? I was able to get the area but can't exactly figure out what they want for the formula.

Compute the area under the graph as a limit.

lim RN=1050

Answers

Therefore , R(N) = 100 + 400 (N+1)(2N+1) + 800 x N2 N3 and area are the formulas for R(N) for the function f(x) = (5x)2 on [1, 5] and the function f(x) = (5x)2 in terms of N. R(N) = 767(approx) (approx).

What is function?

Each x value in the domain has one but only one y value range, according to the rule of a function. Definition. If there is only one and only one value of x variable such that f(x) = y, then the function is one-to-one.

Here,

In the given question, we have to find a formula for R(N) for the function f(x) =(5x)^2 on [1, 5] in terms of N.

The given function is f(x)=(5x)^2 on [1, 5].

Ax = (5-1)/N

Ax = 4/N

X = 1+iAx

X = 1+i4/N

f(x) = 25X^2

f(x) = 25(1+i4/N)^2

f(x) = 25(1+i8/N+16/N^2 i^{2})

R(N) = 1ƒ(X) Ax

Now putting the value of f(x) and Ax

R(N)==1 [25 (1+ &i + 16i2)]

R(N) = 1001 (1 +Ni + 16i2)

N100 (1+i+12)N

100 (N += i +122)+16 N(N+1)(2N+1)(+1)(2N+1)

R(N)=100 (N + √2/ N(N+1) x 100

R(N) =2/6× N + 100 × 5 × N(N+1) + 100 x 2

[tex]\lim_{n \to \infty}[/tex] R(N) = 100 + 400 + 800/3

[tex]\lim_{n \to \infty}[/tex] R(N) = 766.67

[tex]\lim_{n \to \infty}[/tex] R(N) = 767(approx)

Therefore , the solution of the given problem of function comes out to be [tex]\lim_{n \to \infty}[/tex] R(N) = 767(approx).

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The opposite of the opposite of -2 is equal to

Answers

The opposite of the opposite of -2 is equal to: -2

This can be solved by using the concept of inverse.

What is inverse?

This quantity is also referred to as the opposite (number), sign modification, and negation. It changes the sign of a real number so that the additive inverse of a positive number is negative and the additive inverse of a negative number is positive. Due to their ability to reverse mathematical processes, inverse techniques are crucial for solving equations. One of the most crucial issues to ask whenever a new mathematical method is presented is how to invert it.

The term inverse in mathematics refers to the inverse of another operation.

In this case firstly opposite of - 2 is 2 and next opposite of 2 is again -2.

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solve y=(1/2)x exponential graph

Answers

The value of the exponential graph y = ( 1/2 )ˣ is graphed

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

y =  ( 1/2 )ˣ   be equation (1)

On simplifying the equation , we get

y = 1 / (2ˣ)

Now , the graph of the function y =  ( 1/2 )ˣ  will be a slanting line which will not touch the x axis and passes through the point y = 1

The graph of the function y =  ( 1/2 )ˣ is given below

Hence , the function is solved and the graph is plotted

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Help please — How many whole months will it take for a motorbike valued at £2550 to depreciate to less than £1200 if depreciation is at a rate of 5% per month?

Answers

Using Continuous compounding in 15.07 months, the bike's value will be less than £1200.

What is Continuous compounding?

Continuous compounding refers to the process of compounding interest at an infinitely frequent rate. It is a way to figure out how much an asset will depreciate over time or how much an investment will increase.

[tex]A=Pe^{rt}[/tex]

where:

A is the asset's final value

P is its initial value

r is the interest rate (or rate of depreciation in the case of a depreciating asset)

t is the time periods (months, years, etc.)

A= 1200

P= 2550

r= -0.05

We want to find t, so we can rearrange the formula to solve for t:

[tex]t=\frac{log\frac{A}{P}}{r}\\\\t=\frac{log\frac{1200}{2550} }{-0.05} \\ \\t=15.07months[/tex]

In 15.07 month motorbike value will depreciate to less than £1200

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Please help will mark Brainly (please answer all the drop down questions)

Answers

Step-by-step explanation:

system 1 :

3x + 2y = 7

4x + 7y = 17

system 2 :

12x + 2y = 28

4x + 7y = 17

the first equation in the second system is not a multiple of either equation in the first system, and the second equation in the second system is the same as the second equation in the first system.

thus, the systems are not equivalent.

"12x" gives us the idea what the factor would have to be (4 or 3), if the second equation of the second system would be a multiple of any of the equations in the first system.

as we would have to multiply 3x by 4 to get 12x, and 4x by 3 to get 12x.

but then 2y×4 = 8y, or 2y×3 = 6y, and that is not the same as 2y (part of the first equation of the second system).

that is why this first equation of the second system is not a multiple of either equation in the first system.

and that makes it impossible for both systems to be equivalent. that the second equations are identical, is then not relevant anymore.

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