What is domain and range of a function examples?

Answer:

4 times

Step-by-step explanation:

This is calculated by putting them in a ratio

Russ's car : Mike's car

9.8 miles per gallon : 39.2 miles per gallon

Converting to fraction

= 9.8/39.2

= 1/4

Hence, we have the ratio:

1 : 4

Hence, Mike's car averages Russ's car 4 times more in miles per gallon

a) the maximum error in surface area  and  the relative error  is 25.4 cm² and 1.25%

b) the maximum error in the volume and  the the relative error  is 162.1 cm³ and 1.875%

As we know  the  formula for surface area is

                                    Surface Area , S= 4*π*r^2.

So  differentiating both sides we get

                                     dS/dr = 8*π*r .....1

and  the  formula for  the circumference is :2*π*r

, so the error on the circumference will be respect to radius

=> Δc = 2*π*Δr  

=> Δr = ΔC / (2*π)

substituing the value ofΔr in  the equation 1, we get

The maximum error in surface area which is :

ΔS = 8*π*r*Δr = 4*r*Δc

      = (2/π)*c*Δc.

    = 25.4

where for the relative error

                 ΔS/S = 4*r*Δc/(4*π*r^2)

                          = Δc/(π*r)

                          = 2*Δc/c

                        = 1.25%

Now Since  the formula for  the volume of a sphere  is :

                                       V = 4/3*π*r^3

dofferentiating both sides we get ,

                           => dV/dr = 4*π*r^2.

So,  the   the maximum error in the calculated volume  will be :

ΔV = 4*π*r^2*Δr

       = 2*r^2*Δc

       = 1/(2*π^2)*c^2*Δc

      =162.1

Where as the relative error for the volume will be

ΔV/V = 3*Δr / r = 3*ΔC/C = 1.875%

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

2 3/10 ÷ 2 2/9

Step 02:

division:

Head sizes smaller than 20.9905 inches or greater than 24.6095 inches can get custom-made helmets.

Given: Normal distribution

Mean=μ=22.8 inches

Standard deviation=σ=1.1 inches

We need to determine the head sizes for custom-made helmets, while the customer-made helmets are for the 5% smallest and the 5% largest head sizes.

The 5% largest head sizes are all head sizes excluding the 100%-5% = 95% smallest head sizes.

The standard normal distribution table in the appendix contains the proportion of observations to the left of z-scores.

Let us determine the z-score that corresponds with a proportion of 5% or 0.05 in the standard normal distribution table of the appendix. We note that the probability 0.05 lies exactly in the middle between 0.0495 and 0.0595, which corresponds with the z-scores -1.64 and -1.65 We will then use the middle z-score of -1.645 to represent the probability 0.05.

z=−1.645

Similarly, z=1.645 corresponds with 95%=0.95.

z=±1.645

Thus, evaluating:

x=22.8+1.645(1.1)=24.6095

x=22.8−1.645(1.1)=20.9905

​Hence, head sizes smaller than 20.9905 inches or greater than 24.6095 inches can get custom-made helmets.

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Answer:

Yes, he did

Step-by-step explanation:

We have that:.

Total time = 45

At time t, he moves at 8mph.

This gives: 8t

The time left is: 45 - t and he moves at 5mph, this gives 5(45 - t).

Hence, the total is

8t + 5(45 - t)

By comparison, we can conclude that Larry modeled the situation correctly.

The reference triangles always have a leg perpendicular to the hypotenuse.

In a right triangle, the reference triangle is formed by dropping a perpendicular from one of the acute angles to the hypotenuse. This perpendicular leg, also known as the altitude, divides the hypotenuse into two segments. The reference triangle is created to establish a relationship between the angles and sides of the original right triangle. By considering the ratios of the sides in the reference triangle, we can apply trigonometric functions to solve various problems involving right triangles. The perpendicular leg of the reference triangle is crucial in determining the values of sine, cosine, and tangent for the given angle in the original triangle.

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Answer:

hloooooooooooooooooooo

Answer:

Mr. Reed still needs to run 7 5/12 miles to reach his Step-by-step explanation:

2 3/4 and 2 1/3 need to be converted to a common denominator of 12:

2 9/12 and 2 4/12

Then we need to convert the original 12 1/2:

12 6/12

Add the miles he's already run:

2 9/12 + 2 4/12 = 5 1/12

Subtract the total amount run from the total goal:

12 6/12 - 5 1/12 = 7 5/12

Therefore, he still needs to run 7 5/12 miles to meet his total 12 1/2 (or 12 6/12) miles goal.

Answer: 11 cm

Step-by-step explanation:

Answer:

7 years

Step-by-step explanation:

Since employees are hired at the wage of $15, we can subtract that

20.25-15=5.25

And given they receive an annual increase of $0.75

we can divide by 0.75

5.25/0.75=7

Answer:

0.75x + 15

I hope this helps.

The process of describing the steps necessary for finding a solution to a problem in programming is commonly referred to as algorithm design.

Algorithm design is an essential aspect of programming, as it allows programmers to devise a systematic approach to problem-solving. When faced with a programming problem, the first step is to analyze and understand the problem requirements thoroughly.

Once the problem is understood, the next step is to design an algorithm that outlines the sequence of steps needed to solve the problem.

In algorithm design, programmers typically consider factors such as efficiency, correctness, and maintainability. They aim to devise algorithms that produce accurate results, optimize resource usage, and are easy to understand and maintain.

The process involves selecting appropriate data structures, determining control flow, and defining the specific operations or computations required at each step.

By describing the steps in an algorithm, programmers can effectively communicate their approach to solving a problem and provide a roadmap for implementing the solution in code.

Well-designed algorithms help streamline the programming process, improve code quality, and facilitate the development of reliable and efficient software systems.

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Answer:

Consumtion:
  September:7535
  October:16556
  November:9616
  December:13615
Tama po yan
Pa branlies naman po
HOPE IT HELPS ALOT

378.5 cm is equal to 3785 mm. There are 10 mm in a centimetres , so to convert cm to mm, you need to multiply the number of cm by 10. So, 3785 = 378.5 x 10.

To convert from centimetres to millimetres, we need to multiply the number of centimetres by 10. This is because 1 centimetre is equal to 10 millimetres. Therefore, if we want to convert 378.5 centimetres to millimetres, we need to take 378.5 and multiply it by 10.

When we multiply 378.5 by 10, we get 3785. Therefore, 378.5 centimetres is equal to 3785 millimetres. This is because 10 millimetres makes up 1 centimetre, so to convert from one unit to the other, we need to multiply the number of centimetres by 10.

To summarise, 378.5 centimetres is equal to 3785 millimetres. This is because 1 centimetre is equal to 10 millimetres, so when converting from one unit to the other, we need to multiply the number of centimetres by 10.

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Given:

Coyotes pay their aging kicker $725,000 a year.

He agrees to a 15% pay cut.

To find:

His new salary.

Solution:

Annual salary before pay cut = $725,000

Annual salary after pay cut = \(725,000-\dfrac{15}{100}\times 725,000\)

                                             \(=725,000-15\times 7250\)

                                             \(=725,000-108,750\)

                                             \(=616,250\)

So, monthly new income is

\(\dfrac{616,250}{12}\approx 51354.167\)

Therefore, his new salary is $51,354.167 per month.

Answer:

616,250

Step-by-step explanation:

15 percent of 752,000 is 108,750.

752,000 minus 108,750 is 616,250.

Thats your answer

Thus, if M = $1.5 trillion, V = 7, and P = 1.05, the real output of the economy (Q) is $10 trillion.

The equation of exchange is an economic equation that relates the money supply (M) with the price level (P), the velocity of money (V), and the real output of the economy (Q). The equation is M x V = P x Q.

Using the given values of M = $1.5 trillion, V = 7, and P = 1.05, we can solve for Q by rearranging the equation as Q = M x V / P.

Plugging in the numbers, we get:

Q = ($1.5 trillion x 7) / 1.05 = $10 trillion

Therefore, if M = $1.5 trillion, V = 7, and P = 1.05, the real output of the economy (Q) is $10 trillion.

It's worth noting that the equation of exchange is a theoretical model and may not reflect actual economic conditions. In practice, changes in any one of the variables (M, V, P, or Q) can affect the others, and there may be other factors at play that influence the economy.

Nonetheless, the equation of exchange provides a useful framework for thinking about the relationship between the money supply, prices, and economic activity.

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Complete question

in the equation of exchange, if m = $1.5 trillion, v = 7, and p = 1.05, then:

Find real output.

Answer:

x = 33°

Step-by-step explanation:

         Vertically opposite angles are congruent.

          ∠AOB = ∠DOC

       4x - 6     = 2x + 60

Add 6 to both sides,

               4x  = 2x + 60 + 6

               4x = 2x + 66

Subtract 2x from both sides,

          4x - 2x = 66

                 2x = 66

Divide both sides by 2

                    x = 66 ÷ 2

                    \(\boxed{x = 33}\)

∠AOB = 4x - 6

          = 4*33 -6

          = 132 -  6

∠AOB = 126°

∠DOC = 126°

Answer:

Those who do not need to

Step-by-step explanation:

i would say this because they are old enoght to know how to do things by them self althought it does depend on who

Answer:

Theres no graph form

Step-by-step explanation:

To find the selling price that will yield the maximum profit, we need to find the vertex of the quadratic function given by the profit equation y = -5x² + 286x - 2275.The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -5 and b = 286.

x = -b/2a

x = -286/(2(-5))

x = 28.6

So, the selling price that will yield the maximum profit is $28.60 (rounded to the nearest cent).

Therefore, the widgets should be sold for $28.60 to maximize the company's profit.

Hope I helped ya...

Answer:

29 cents

Step-by-step explanation:

The amount of profit, y, made by the company selling widgets, is related to the selling price of each widget, x, by the given equation:

\(y=-5x^2+286x-2275\)

The maximum profit is the y-value of the vertex of the given quadratic equation. Therefore, to find the price of the widgets that maximises profit, we need to find the x-value of the vertex.

The formula to find the x-value of the vertex of a quadratic equation in the form y = ax² + bx + c is:

\(\boxed{x_{\sf vertex}=\dfrac{-b}{2a}}\)

For the given equation, a = -5 and b = 286.

Substitute these into the formula:

\(\implies x_{\sf vertex}=\dfrac{-286}{2(-5)}\)

\(\implies x_{\sf vertex}=\dfrac{-286}{-10}\)

\(\implies x_{\sf vertex}=\dfrac{286}{10}\)

\(\implies x_{\sf vertex}=28.6\)

Assuming the value of x is in cents, the widget should be sold for 29 cents (to the nearest cent) to maximise profit.

Note: The question does not stipulate if the value of x is in cents or dollars. If the value of x is in dollars, the price of the widget should be $28.60 to the nearest cent.

Answer:

0

Step-by-step explanation:

Substitute b into -3.

Hence,

(b+3)(b²-5b+7)=(-3+3)(-3²-15+7)

=(0)(1)

=0

Simple random sampling is a good way because he will have a more representative sample if he chooses randomly. which is the correct answer would be an option (B).

A sample is randomly chosen from the population in basic random sampling, guaranteeing that each person has an equal chance of being chosen.

Simple random sampling is a good way for a librarian to check a sample of books from the library to get an idea of how many need replacing because it will provide a more representative sample.

In simple random sampling, a sample is selected from the population at random, ensuring that each member of the population has an equal chance of being selected. This means that the sample will accurately represent the characteristics of the population as a whole.

Thus, He will have a more representative sample if he chooses randomly.

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Answer:

I THINk i did this but i will try to reamber

Step-by-step explanation:

The perimeter of the red rectangular tile is approximately 28.66 inches.

Since the blue and red rectangular tiles are similar, their corresponding sides are proportional. Let's find the scale factor between them.

The blue tile has a perimeter of 30 inches and a length of 10 inches. We know that the perimeter of a rectangle is the sum of all its sides, so we can write:

30 = 2L + 2W

where L is the length and W is the width. Since we have a rectangular tile, we know that L = 10 and we can solve for W:

30 = 2(10) + 2W
30 = 20 + 2W
10 = 2W
W = 5

So the blue tile has a width of 5 inches. Now we can find the scale factor between the blue and red tiles:

scale factor = length of blue tile / length of red tile
scale factor = 10 / 6
scale factor = 5/3

This means that the corresponding sides of the red tile are 5/3 times smaller than the corresponding sides of the blue tile. So if the blue tile has a width of 5 inches, the red tile has a width of:

width of red tile = (5/3) * (width of blue tile)
width of red tile = (5/3) * 5
width of red tile = 8.33 inches (rounded to two decimal places)

Now we can find the perimeter of the red tile:

perimeter of red tile = 2L + 2W
perimeter of red tile = 2(6) + 2(8.33)
perimeter of red tile = 12 + 16.66
perimeter of red tile = 28.66 inches (rounded to two decimal places)

So the perimeter of the red rectangular tile is approximately 28.66 inches.

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The natural breaks, quantile, and equal interval classification schemes are methods used to categorize data for the purpose of creating thematic maps. Each scheme has its own approach and considerations: Natural Breaks, Quantile, Equal Interval.

Natural Breaks (Jenks): This classification scheme aims to identify natural groupings or breakpoints in the data. It seeks to minimize the variance within each group while maximizing the variance between groups. Natural breaks are determined by analyzing the distribution of the data and identifying points where significant gaps or changes occur. This method is useful for data that exhibits distinct clusters or patterns.

Quantile (Equal Count): The quantile classification scheme divides the data into equal-sized classes based on the number of data values. It ensures that an equal number of observations fall into each class. This approach is beneficial when the goal is to have an equal representation of data points in each category. Quantiles are useful for data that is evenly distributed and when maintaining an equal sample size in each class is important.

Equal Interval: In the equal interval classification scheme, the range of the data is divided into equal intervals, and data values are assigned to the corresponding interval. This method is straightforward and creates classes of equal width. It is useful when the range of values is important to represent accurately. However, it may not account for data distribution or variations in density.

In summary, the natural breaks scheme focuses on identifying natural groupings, the quantile scheme ensures an equal representation of data in each class, and the equal interval scheme creates classes of equal width based on the range of values. The choice of classification scheme depends on the nature of the data and the desired representation in the thematic map.

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Answer:

A. 2l + 2w > 40

B. 14 = w

Step-by-step explanation:

B. 40 = ( 2/6) + 2w

40 = 12 +2w

subtracted by

28 = 2w

and that equals

14= w

Answer:

2/7 = a/7

a = 2

a. Rn = (6 / n) * [4(1 - 1/n)² + 4(1 + 1/n)² + ... + 4(5 - 3/n)²]

b. The exact area under the graph is 168.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

A) To find a formula for Rn, we can use the midpoint rule. The midpoint rule approximates the area under a curve by dividing the interval into n equal subintervals and taking the height of the rectangle as the value of the function at the midpoint of each subinterval.

Let's calculate Rn for the function f(x) = (2x)² on the interval [−1, 5] using n subintervals.

The width of each subinterval is given by:

Δx = (b - a) / n = (5 - (-1)) / n = 6 / n

The midpoint of each subinterval is given by:

xi = a + (i - 1/2)Δx

Using these values, we can calculate Rn:

Rn = Δx * [f(x1) + f(x2) + ... + f(xn)]

   = (6 / n) * [(2(-1 + 1/2 * (6/n))²) + (2(-1 + 3/2 * (6/n))²) + ... + (2(5 - 1/2 * (6/n))²)]

Simplifying further:

Rn = (6 / n) * [4(1 - 1/n)² + 4(1 + 1/n)² + ... + 4(5 - 3/n)²]

B) To compute the area under the graph as a limit, we take the limit of Rn as n approaches infinity. This is equivalent to integrating the function over the interval [−1, 5].

To find the exact area under the graph of f(x) = (2x)² on [−1, 5], we integrate the function:

∫[−1, 5] (2x)² dx

Evaluating the integral:

∫[−1, 5] (2x)² dx = ∫[−1, 5] 4x² dx = [4/3 * x] from -1 to 5

                                  = (4/3 * 5³) - (4/3 * (-1)^3)

                                  = (4/3 * 125) - (4/3 * (-1))

                                  = (500/3) + (4/3)

                                  = 504/3

                                  = 168

Therefore, the exact area under the graph is 168.

As n approaches infinity, the value of Rn will approach the exact area of 168.

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Answer:

The length is 15 inches.

Step-by-step explanation:

Perimeter of rectangle = 2L + 2W

If W = 6, then 2W = 2*6, which is 12.

Now, 2L + 12 = 42.

Solve for L.

2L + 12 = 42

2L = 30

L = 15

1) Since the value of y varies directly with x, we can write

y=kx Plugging into that

-8 = k(4)

-8 = 4k Divide both sides by 4

k =-2

2) When x = -4 then we can find y by plugging into that

y = kx

y = (-2)(-4)

y = 8

3) Hence, the answer is 8