Your internet provider offers two different plans. One plan costs $.02 per email
plus a $9 monthly service charge. The other plan costs $.05 per email with no
service charge.
a. Write a system of equations to model the cost of the two internet plans.
b. For how many email messages will both plans cost the same?
c. If you send and receive about 500 email messages per month, which plan
should you use?

Answer:

the second picture answer is F.56

Step-by-step explanation:

if you add 16 + 40=56

Answer:

Members that voted yes = 15 Members

Step-by-step explanation:

Members that voted yes : members that voted no = 5 : 1

Total ratio = 5 + 1 = 6

total school board members that voted = 18

how many voted yes for new math books?

Members that voted yes = 5/6 × 18

= 0.8333333333333 × 18

= 15 members

Members that voted yes = 15 Members

members that voted no = 1/6 × 18

= 0.1666666666666 × 18

= 3

members that voted no = 3 members

The likelihood that the CD rack will be organized alphabetically is 1 in 28.

The first step is to count all conceivable arrangements.

Use combinations if you want to organize 6 of the 8 CDs. Combinations can be calculated using the formula C(n, r) = n! / [r!(n - r)!!], where n denotes the total number of items and r denotes the number of items being selected. Here, n = 8 and r = 6, respectively.

C(8, 6) = 8! / [6!(8 - 6)!] = 8! / [6!2!] = 28

The six CDs can therefore be organized in 28 different ways.

Step 2: Count how many configurations lead to an alphabetical order.

When they are placed precisely in that sequence, there is only one configuration in which the CDs are organized alphabetically.

3. Determine the likelihood.

Probability equals the product of the number of successful outcomes and the total number of conceivable outcomes.

Probability equals 1/28

You want to put 6 of the 8 CDs you have in this issue in a CD rack. We discover that there are 28 different possible arrangements using combinations. Only one of these configurations causes the CDs to be arranged alphabetically. As a result, there is a 1/28 chance that the CD rack will be organized alphabetically.

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The area of the region enclosed by the graphs of y=x^3+8 and y=x+8 is 24. This is found by calculating the area under each graph and subtracting the area of the overlap and the area outside the region.

The area of the region can be calculated by finding the area under the two graphs, subtracting the area of the overlap and then subtracting the area outside the region bounded by the two graphs.

First, find the area under the graph of y=x^3+8 and above the x-axis. This can be calculated using the definite integral

∫ y dx from 0 to 8, which is equal to 8^4/4+8 = 288.

Next, find the area under the graph of y=x+8 and above the x-axis. This can be calculated using the definite integral

∫ y dx from 0 to 8, which is equal to 8^2/2+8 = 72.

The area of the overlap between the two graphs is the area of the region below both graphs and above the x-axis. This can be calculated using the definite integral

∫ y dx from 0 to 8, which is equal to 8^3/3+8 = 168.

Finally, subtract the area outside the region bounded by the two graphs, which is the area below the line y=x+8 and above the x-axis. This can be calculated using the definite integral

∫ y dx from 0 to 8, which is equal to 8^2/2 = 32.

Therefore, the area of the region in the first quadrant that is enclosed by the graphs of y=x^3+8 and y=x+8 is 288 - 72 - 168 + 32 = 24.

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Answer:

Step-by-step explanation:

thats it

To find the percentage of adults ages 25 and over in the nation who are employed and not high school graduates, we need to analyze the contingency table and calculate the conditional relative frequency for that category.

In the given contingency table, we are interested in the intersection of the "Employed" column and the "Not high school graduate" row. From the table, we can see that the frequency in this category is 16. To find the percentage, we need to divide this frequency by the total number of adults who are employed, which is the sum of frequencies in the "Employed" column (16 + 23 + 45 = 84).

Therefore, the percentage of adults ages 25 and over in the nation who are employed and not high school graduates can be calculated as (16 / 84) * 100. Evaluating this expression, we find that approximately 19.0% of employed adults in the nation are not high school graduates.

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The area of the new room is 330.75 feet².

The measurement that expresses the size of a region on a plane or curved surface is called the area. The area of a form or plane sheet is referred to as a plane region or plane area.

The formula for the Area of a Rectangle is given by

Area of a Rectangle = Length × Width

Here we have

The bedroom on the drawing is represented by ABCD  

and your actual bedroom is represented by figure A'B'C'D'  

The dimensions of ABCD = 4.5 inches × 6 inches

The scale is 1 inch = 3.5 feet  [ The scale factor is 3.5 ]  

Given that 1 inch = 3.5 feet

=> 4.5 inch = 4.5 × 3.5 feet = 15.75 feet    

=> 6 inch = 6 × 3.5 feet = 21 feet  

Thus actual measurements of the room are 15.75 feet × 21 feet    

Area of new room = 15.75 feet × 21 feet = 330.75 feet²  

Therefore,

The area of the new room is 330.75 feet²        

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Therefore, the first term is 3.01, the common ratio is 10, and the explicit rule for the nth term is: aₙ = 3.01 * 10ⁿ⁻¹.

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a constant called the common ratio.

Let the first term be "a" and the common ratio be "r".

Then, we have:

4th term = ar³ = 3010

7th term = ar⁶ = 3010000

Dividing the second equation by the first, we get:

(ar⁶) / (ar³) = 3010000/3010

r³ = 1000

r = 10

Substituting this value of "r" in the first equation, we get:

ar³ = 3010

a(10³) = 3010

a = 3.01

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- Mean: 119.43- Median: 118.50- Mode: 110 - Count: 28

To find the mean, we add up all the values and divide by the number of observations. In this case, the sum of the values is 3342, and since there are 28 observations, the mean is 3342/28 = 119.43.

The median is the middle value when the data is arranged in ascending order. In this case, there are 28 observations, so the median is the average of the 14th and 15th values. When the data is ordered, the 14th value is 118 and the 15th value is 124. Therefore, the median is (118 + 124)/2 = 118.50.

The mode is the value that appears most frequently in the dataset. In this case, the value 110 appears three times, which is more than any other value. Hence, the mode is 110.

The count simply refers to the number of observations in the dataset, which is 28 in this case.

(b) The data is skewed right.

When data is symmetric, it means that the values are evenly distributed around the mean, resulting in a bell-shaped curve. In this case, the data is not symmetric. Looking at the dataset, we can observe that there are several smaller values on the left side, while the right side has a few larger values. This indicates a right skew or positive skewness.

Skewness refers to the asymmetry of a distribution. In a right-skewed distribution, the tail of the distribution extends towards the right, indicating a longer right tail. Therefore, the correct answer is b. Skewed right, indicating that the data is positively skewed.

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\(\angle EHF=90^{\circ}\) (an angle inscribed in a semicircle is a right angle)

\(\angle HEF=38^{\circ}\) (alternate segment theorem)

\(a=52^{\circ}\) (angles in a triangle add to 180 degrees)

Shelby's new weekly wage would be £318.50  if she receives a pay increase  of 45p per hour.

What is Shelby's hourly rate based on the  weekly wage of £302.75?

Shelby's hourly rate can be determined as her weekly wage divided by the number of hours spent working per week, in essence, the hourly rate is based on the weekly wage and the number of hours since the total weekly wage can as well be determined as the hourly rate multiplied by the number of hours working per week

hourly rate=weekly wage/hours spent working per week

weekly wage=£302.75

hours spent working per week=35

hourly rate=£302.75/35

hourly rate=£8.65

her new hourly rate=£8.65+£0.45

her new hourly rate=£9.10

new weekly wage=35*£9.10

new weekly wage=£318.50

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Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.

The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.

In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.

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The correct formula for the expression is,

⇒ f (x)  = - 6 cos (π/4.5x - 2π) + 2

Since, Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a function:

f(x) = a cos(bx + c) + d

Here a is the amplitude:

Since, The value of d is the average of maximum and minimum.

Hence,  d = (9 - 5)/2 = 4/2 = 2

And, The value of 'a' is the difference between the maximum value and d.

Hence,  a = -4 -(2) = - 6

Here, the half-period is,

= π - 3π/4) = π/4

=  b = 2π/9 = π/4.5

The value of c is the value makes the cosine zero at x= 9

⇒  (π/4.5)(9) +c = 0

⇒  c = -2π

Hence, Function is,

f (x) = - 6 cos (π/4.5x - 2π) + 2

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Answer:

The correct answer would be:

f (x) = - 6 cos (π/4.5x - 2π) + 2

A 180 calorie half-pint carton of chocolate milk stores approximately 753.72 joules of energy.

To determine the amount of energy stored in the 180 calorie half-pint carton of chocolate milk, we can convert the calories to joules. One calorie is approximately equal to 4.184 joules. Therefore, 180 calories is equal to 180 * 4.184 = 753.72 joules.

Calories are a unit of energy commonly used in nutrition to measure the energy content of food. However, in scientific calculations and physical contexts, the SI unit for energy is the joule. So, by converting the calories to joules, we can express the energy content of the chocolate milk carton in a standard unit. Hence, a 180 calorie half-pint carton of chocolate milk stores approximately 753.72 joules of energy.

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To find the values of the constant c such that y = c is a solution to the given equation, substitute y = c into the equation:

dy/dx = (c^2 + 2c - 3) / (3xc)

Since y is constant (y = c), the derivative dy/dx is 0. Thus,

0 = (c^2 + 2c - 3) / (3xc)

To satisfy the equation, the numerator (c^2 + 2c - 3) must be 0. Solve for c:

c^2 + 2c - 3 = 0

This is a quadratic equation, and you can solve it using the quadratic formula:

c = (-b ± √(b^2 - 4ac)) / 2a

Here, a = 1, b = 2, and c = -3:

c = (-2 ± √(2^2 - 4(1)(-3))) / (2 * 1)
c = (-2 ± √(4 + 12)) / 2
c = (-2 ± √16) / 2
c = (-2 ± 4) / 2

So there are two possible values of c:

c1 = (-2 + 4) / 2 = 1
c2 = (-2 - 4) / 2 = -3

Thus, the values of the constant c are c = 1 and c = -3.

Answers should be concise and not provide extraneous amounts of detail. Typos or irrelevant parts of the question should not be ignored. The following terms should be used in the answer if they are relevant to the question at hand:Find all values of the constant c such that y = c is a solution to dydx=(y2+2y−3)3xyIn order for y = c to be a solution to the given differential equation, we must have:dy/dx = (y^2 + 2y - 3)^(3xy)Since y = c, we can replace y with c in the above equation to get:dy/dx = (c^2 + 2c - 3)^(3cx)Now, let's differentiate both sides with respect to x. We get:d²y/dx² = d/dx[(c^2 + 2c - 3)^(3cx)]We can use the chain rule to find d/dx[(c^2 + 2c - 3)^(3cx)]. Let's define u = (c^2 + 2c - 3) and v = 3cx. Then we have:d/dx[(c^2 + 2c - 3)^(3cx)] = (du/dx)(v^n) = (6c + 2)(3cx)[(c^2 + 2c - 3)^(3cx - 1)]Substituting these expressions back into the original differential equation, we get:(6c + 2)(3cx)[(c^2 + 2c - 3)^(3cx - 1)] = (c^2 + 2c - 3)^(3cx)Simplifying, we get:18c = (c^2 + 2c - 3)^(3cx - 1)Therefore, the values of c that make y = c a solution to the given differential equation are the solutions to the equation 18c = (c^2 + 2c - 3)^(3cx - 1).

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The integral of 41x^3 - 27 dx is 41/4 x^4 - 27x + c.

Calculating an integral is called integration. To determine the functions that will characterize the area, displacement, and volume that result from a combination of small data that cannot be measured separately, integrals are calculated.

The concept of limit is employed broadly in calculus whenever algebra and geometry are applied. Limits assist us in analyzing how points on a graph behave, such as how they approach one another until their distance approaches zero.

The indefinite integral of 41x^3 - 27 dx is given by:

∫(41x^3 - 27)dx = 41/4 x^4 - 27x + c

where c is the constant of integration.

Correct Question :

evaluate the integral. (remember to use absolute values where appropriate. use c for the constant of integration.) 41x^3 - 27 dx

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Remember that the equation of a line in slope-intercept form, is:

Where m is the slope of the line and b is the y-intercept.

First, write the equation 3x-y=8 in slope-intercept form to find its slope:

Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.

One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.

In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.

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Hope you could understand.

If you have any query, feel free to ask.

Answer:

yes it is if we can write decimal numbers in the form of a fraction then it is a rational number

When Dante deposits $300 to create a savings account, $385 will be available in the account after 4 years.

aggregate attempting to determine the whole amount, time, or quantity. The amount at hand or under consideration is very active. the overall outcome, significance, or import. a third accounting, the principal, and the interest. There are word forms for quantities, amounting, and amounted. adaptable noun A thing's quantity is how much of it there is, how much you have, how much you need, or how much you can get. He needs that much money to make ends meet.

given

A= P( 1- rt )

A = 275 ( 1+ 300 )

A = 275( 1.4 )= $385

When Dante deposits $300 to create a savings account, $385 will be available in the account after 4 years.

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Answer:

8 and 14 im 100% sure its 8 and 14

Step-by-step explanation:

The possible order pair for the point D is (0, 0.72)

Triangles with the same shape but different sizes are said to be similar triangles. Triangle resemblance is shown here by the symbol "≈"

Since triangle ABC is similar to triangle ADE, the corresponding sides of these triangles are proportional.

Let's denote the length of AB as x and the length of AD as y. Then, we can write:

AB/AD = BC/DE

Substituting the values from the figure, we get:

x/y = 5/3

Multiplying both sides by y, we get:

x = (5/3)

x = (5/3)y

Substituting x = 1.2 (the x-coordinate of point A) and solving for y, we get:

1.2 = (5/3)y

y = (3/5)(1.2)

y = 0.72

Therefore, a possible order pair for point D is (0, 0.72).

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Answer: 4.3

Step-by-step explanation:

Answer:

675

Step-by-step explanation:

300/20=15

15*45=675

Answer: D

Step-by-step explanation:

The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week. Option D is correct.

The mean of the values is the ratio of the total sum of values to the number of values.

Here,
Let the random variable X represent the number of days per week that a member visits.
The mean of X is 3.12.
This mean describes that on an average 3.12 day in a week members visit the fitness center, it implies that the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.

Thus, the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week. Option D is correct.

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The mode of this set of numbers is 1,the median of this set of numbers is 1.

Mean: To find the mean of this set of 5 numbers, we first add them together and divide by the number of measurements. 0 + 7 + 1 + 1 + 4 = 13. 13 divided by 5 (the number of measurements) is 2.6. Therefore, the mean of this set of numbers is 2.6.

Median: To find the median of this set of 5 numbers, we first need to arrange them in order from least to greatest. 0, 1, 1, 4, 7. The median is the middle number, so it is 1. Therefore, the median of this set of numbers is 1.

Mode: To find the mode of this set of 5 numbers, we need to look for the number that appears most often. In this set, the number 1 appears twice while the rest of the numbers appear only once. Therefore, the mode of this set of numbers is 1.

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The probability of an individual scoring above 500 on the GMAT is 0.5984.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the centre of the range.

Given:

\(\mu\) = 527

\(\sigma\) = 112

Now, z= (500-527)/112

z= -27/112

z= -0.2410

and, P( X>500)= P(z> -0.2401)

                        = 1- 0.4052

                        = 0.5984

Hence, the probability of an individual scoring above 500 on the GMAT is 0.5984.

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if the bill was $23.60, and the tip was 15%, kim will earn $3.54. the overall total of the meal would be $27.14 :)

Anwser will be $3.54

15% = .15 ( to convert percent to decimal, change the % to . and move the decimal two places to the left)

23.60 * .15 = 3.54

Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

Now, According to the question :

What is Vertical line?

A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to x-axis and goes straight, left and right.

Is a vertical line positive or negative?

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Hence, Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

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The equation for money collected m for h boxes of chocolate bars sold is m = 30h.

We are given that the band is selling every bar of chocolate for $1.50

Now, they have boxes of chocolate, with every box containing 20 bars of chocolate in them.

Hence if we are going to calculate the amount of money collected on selling one box it will be

20 X $1.5

= $30

We need to find the equation for the amount of money collected based on the number of boxes of chocolate bars sold.

We have been given that money collected should be represented b m while the number of chocolate boxes sold should be represented by h

Now we know that

Money collected = price per box X no.of boxes sold

we have already calculated the price per box hence we get

m = 30h

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