What is the initial value of the sequence?

Answer: After working for 33 \(\frac{1}{3}\) hours a week

Step-by-step explanation:

     Let us write equations to represent these two places. Let x be hours worked and y be money earned.

   Tim Hortons:

$200 + $5x = y

    McDonalds:

$300 + $2x = y

    Now, to find the conditions of which Tim Hortons is the better employer (on the basis of money earned) we must find the interval that Tim Hortons pays more. This can be found by setting up another equation, or by graphing. I have shown both. See attached for the graph.

$200 + $5x > $300 + $2x

$5x > $100 + $2x

$3x > $100

x > \(\frac{100}{3}\)

x > 33.3334

    Tim Hortons is the better employer after an employee has worked for 33 \(\frac{1}{3}\) hours a week.

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Answer:

- 1 and 7

Step-by-step explanation:

to find h(0) substitute x = 0 into h(x)

h(0) = 4(0) - 1 = 0 - 1 = - 1

to find h2) substitute x = 2 into h(x)

h(2) = 4(2) - 1 = 8 - 1 = 7

Answer:

Step-by-step explanation:

\(\dfrac{3+x}3=\dfrac{20}5\\\\3+x = 4\cdot3\\\\x=12-3 \\\\x= 9\)                               \(\dfrac{4+y}4=\dfrac{20}5\\\\4+y= 4\cdot4\\\\y=16-4 \\\\y=12\)

\(\dfrac{3+x+u}3=\dfrac{60}5\\\\3+9+u=12\cdot3\\\\u=36-12 \\\\u=24\)                      \(\dfrac{4+y+v}4=\dfrac{60}5\\\\4+12+v=12\cdot4\\\\v=48-16 \\\\v=32\)

Answer:3

Step-by-step explanation:

you have to multipy 3 by each of th numbers in the ( ) and then sove by subtracting

3 x 2= 6 and 3 x -1 = -3 so 6-3= 3

Answer:

\(3(2 - 1) = 3\)

Step-by-step explanation:

Use PEMDAS.

===================================

\(3(2-1)\\\rule{150}{0.5}\\\rightarrow 2 - 1 = 1\\\\3(1)\\\\3 \times 1\\\\\boxed{3}\)

===================================

You can also distribute 3 into the parentheses and evaluate form there.

\(3(2-1)\\\rule{150}{0.5}\\\rightarrow 3 * 2 = 6\\\rightarrow 3 * -1 = -3\\\\3(2-1) \rightarrow \boxed{6 - 3}\\\\\boxed{3}\)

===================================

Hope this helps!

Answer: definitely B

Step-by-step explanation: if you buy the balloons for less than you sell, you must subtract what you pay for from the number you are selling it for, but we don't know how many he sold YET so we have a letter filling it in till we do

Answer:

y = -1x - 7

Step-by-step explanation:

y2 - y1 / x2 - x1

-6 - (-3) / -1 - (-4)

-3/3

= -1

y = -1x + b

-6 = -1(-1) + b

-6 = 1 + b

-7 = b

The ratios involved in the ROI formula are the net profit and the investment cost.

The ROI (Return on Investment) formula includes the following ratios:

Net Profit: The net profit represents the profit gained from an investment after deducting expenses, costs, and taxes.

Investment Cost: The investment cost refers to the total amount of money invested in a project, including initial capital, expenses, and any additional costs incurred.

The ROI formula is calculated by dividing the net profit by the investment cost and expressing it as a percentage.

ROI = (Net Profit / Investment Cost) * 100%

Therefore, the ratios involved in the ROI formula are the net profit and the investment cost.

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Let x be Amanda's age. Then Brett's age is x + 5. Paul's age is 3(x + 5), and Janine's age is 3(x + 5) - 6. The sum of all their ages is 125 years. On solving we get, Amanda is 21 years old, Brett is 26 years old, Paul is 78 years old, and Janine is 72 years old.

We can use algebra to solve the problem. Let x be Amanda's age. Then Brett's age is x + 5. Paul's age is 3(x + 5), and Janine's age is 3(x + 5) - 6, as given in the problem.

The sum of all their ages is 125 years. Using this information, we can set up the following equation:

x + (x + 5) + 3(x + 5) + (3(x + 5) - 6) = 125

Simplifying and solving for x, we get:

8x + 22 = 125

8x = 103

x = 12.875

Since x represents Amanda's age, which must be a whole number, we can conclude that there is an error in the problem statement.

Assuming that Amanda's age is actually a whole number, we can solve for all their ages. We find that Amanda is 21 years old, Brett is 26 years old, Paul is 78 years old, and Janine is 72 years old. We can check that the sum of their ages is indeed 125 years:

21 + 26 + 78 + 72 = 125

Therefore, Amanda is 21 years old, Brett is 26 years old, Paul is 78 years old, and Janine is 72 years old.

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The equation that represents the graphed function passing through (0,3) and (1,1) is y = -2x + 3.

To find the equation of the line passing through two given points, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept. First, we need to find the slope of the line, which is (y2 - y1) / (x2 - x1), where (x1, y1) = (0,3) and (x2, y2) = (1,1). So, the slope is (1 - 3) / (1 - 0) = -2/1 = -2.

Next, we can plug in the slope and one of the given points into the equation y = mx + b to solve for the y-intercept, b. Using the point (0,3), we get 3 = -2(0) + b, which simplifies to b = 3. Therefore, the equation of the line passing through (0,3) and (1,1) is y = -2x + 3.

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The probability of a 20-year flood occurring next year is approximately 5%.

In probability analysis, a "20-year flood" refers to a flood event that has a 1 in 20 chance of occurring in any given year.

This probability is often expressed as a percentage, which in this case is approximately 5%. The term "20-year flood" is derived from the assumption that, on average, such a flood will occur once every 20 years.

To determine the probability of a 20-year flood occurring in a specific year, we rely on historical data and statistical analysis.

Hydrologists and engineers study past flood events, gathering data on their frequency and magnitude. This information is used to develop flood frequency curves, which show the probability of different flood magnitudes occurring within a given time frame.

The probability of a 20-year flood occurring next year is calculated based on these flood frequency curves. It represents the likelihood of a flood event reaching or exceeding the magnitude associated with a 20-year return period within the next year.

While the probability is estimated, it is important to note that it is not a guarantee. Flood events are influenced by various factors, including weather patterns, land use changes, and local conditions, which can introduce uncertainties into the predictions.

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The expression that represents the volume of the rectangular prism, in terms of the width w, is given as follows:

6w³ cubic units.

A rectangular prism is composed by three dimensions, given as follows:

The volume of the rectangular prism is given by the multiplication of these three dimensions, as follows:

V = lwh.

From the image given at the end of the answer, the dimensions of the prism are given as follows:

Hence the expression that gives the volume of the rectangular prism is given as follows:

V = w x 2w x 3w = 6w³ cubic units.

The prism is given by the image shown at the end of the answer.

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Product of two polynomials can be done by distribution of multiplication over addition. The product of  \(2x^4(2x^2 + 3x + 4)\) is  \(4x^6 + 6x^5 + 8x^4\)

Suppose a, b and c are three numbers. Then we have:

\(a(b + c) = a\times b + a\times c\)

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The given expression is simplified as:

\(2x^4(2x^2 + 3x + 4) = 2x^4 \times 2x^2 + 2x^4 \times 3x + 2x^4 \times 4\\2x^4(2x^2 + 3x + 4) = 4x^6 + 6x^5 + 8x^4\)

Thus,

The product of  \(2x^4(2x^2 + 3x + 4)\) is  \(4x^6 + 6x^5 + 8x^4\)

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Answer:

4x^6 + 6x^4 + 8x^4

Step-by-step explanation:

its the only option with a 6 in the 2nd term.

The investor must deposit securities with a market value of at least $80,000 in lieu of cash to satisfy the margin requirement. This ensures that the investor maintains the required 50% margin level.

To determine the minimum market value that the investor must deposit in lieu of cash,

we need to consider the margin requirements set by the brokerage firm and the regulations of the relevant securities exchange.

Margin requirements typically specify a minimum margin percentage that must be maintained in the account.

Let's assume that the margin requirement is 50%. This means that the investor must maintain at least 50% of the total value of the investment in the margin account.

Since the investor bought 1,000 shares of DEF at $40 per share,

the total investment value is $40,000

To calculate the minimum market value that the investor must deposit, we divide the total investment value by the margin requirement:

$40,000 / 0.5 = $80,000.

(1,000 shares * $40).

Margin requirements may vary depending on the brokerage firm and the specific security being traded. Investors should always consult their brokerage firm or financial advisor for accurate information on margin requirements and the necessary deposit for their particular investment.

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Overall, the level, trend, seasonality, and noise components are present in this series, indicating that multiple factors contribute to the sales patterns observed over time

A. To create a well-formatted time plot of the data from the DepartmentStoreSales.csv file, you can follow these steps:

Import the data from the CSV file into a suitable software or programming environment that supports data visualization, such as Python with libraries like pandas and matplotlib, or Excel.

Ensure that the data is properly formatted and organized, with the dates in a consistent date/time format.

Plot the sales data on the y-axis and the corresponding time periods (e.g., quarters or dates) on the x-axis.

Customize the plot by adding axis labels, a title, and any other necessary formatting to make it clear and visually appealing.

B. Analyzing the time plot, we can identify the following components in the series:

Level: The series shows a relatively stable average level of sales over time, with some fluctuations.

Trend: There appears to be an upward trend in sales over the 6-year period, as the sales generally increase.

Seasonality: There may be some seasonality present, as periodic patterns or fluctuations can be observed within each year. For example, there might be higher sales during specific quarters or months.

Noise: There is some random variation or noise present in the series, which causes the sales data to deviate from the trend and seasonal patterns.

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To solve a system of equations, you need to find the values of the variables that satisfy both equations simultaneously. There are different methods to solve systems of equations, including substitution, elimination, and graphing. Here's an example of using substitution:

Solve the system of equations:

2x + y = 5

x - y = 1

From the second equation, we get x = y + 1. Substitute this expression for x into the first equation:

2(y + 1) + y = 5

Simplifying and solving for y, we get:

3y + 2 = 5

3y = 3

y = 1

Then, substitute y = 1 into x = y + 1 to get:

x = 2

So the solution to the system of equations is x = 2 and y = 1.

To solve a system of inequalities, you need to find the values of the variables that satisfy both inequalities simultaneously. There are different methods to solve systems of inequalities, including graphing and substitution. Here's an example of using graphing:

Solve the system of inequalities:

x + y ≤ 3

x - y > 1

First, graph the boundary lines of each inequality. For the first inequality, the boundary line is x + y = 3, which is a line with intercepts (3, 0) and (0, 3). To decide which side of the line to shade, test a point that is not on the line, such as (0, 0):

0 + 0 ≤ 3, which is true

Therefore, shade the side of the line that contains the origin.

For the second inequality, the boundary line is x - y = 1, which is a line with intercepts (1, 0) and (0, -1). To decide which side of the line to shade, test a point that is not on the line, such as (0, 0):

0 - 0 > 1, which is false

Therefore, shade the side of the line that does not contain the origin.

The shaded region that satisfies both inequalities is the region that is below the line x + y = 3 and to the right of the line x - y = 1. This region is a triangle with vertices (1, 2), (2, 1), and (2, 2).

I hope this explanation helps you with your homework!

Answer:

The width of a rectangle is 6x + 8, and the length of the rectangle is 12x + 16. Determine the ratio of the width to the perimeter. Supply the following: a. Perimeter = 2l + 2w = _______________ b. Ratio = wP _______________________ c. Final answer in simplest form:

The maximum range will be achieved when the angle is 45°, which is half of the full angle (90°) of a right angle.

The maximum angle (with respect to the level ground) that you can launch a projectile at and have its total distance from you never decrease while it is in flight, assuming no air resistance is 45 degrees.

Projectile motion is the motion of an object that is projected into the air and then moves under the force of gravity. Objects that are propelled from the ground into the air are referred to as projectiles.

The motion of such objects is called projectile motion. When objects are thrown at an angle to the horizontal plane, the curved path they travel on is referred to as a parabola.

This is due to the fact that the projectile is influenced by two forces: the initial force that launches the projectile and the force of gravity that pulls it back down.

In order to find out the maximum angle, the path of the projectile must be observed. The range of a projectile is defined as the horizontal distance it covers from the point of launch to the point of landing.

The range is calculated using the following formula:

R = (V²/g) * sin(2θ)

where

R is the range of the projectile,

V is the initial velocity of the projectile,

g is the acceleration due to gravity, and

θ is the angle at which the projectile was launched.

The maximum range will be achieved when the angle is 45°, which is half of the full angle (90°) of a right angle.

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Answer:

16 miles

Step-by-step explanation:

8*2=16

Brainlest pls?

Answer:

C option: 6 feet

Step-by-step explanation:

Since Yolanda wants to keep the pool in proportion to the model, the ratio of diameter to depth of model and the pool will be same.

Let the depth of pool is x feet.

Ratio of Diameter to Depth of Model = Ratio of Diameter to Depth of pool

This means the depth of pool should be 6 feet if Yolanda wants to keep the pool in proportion to the model.

Plz give brainliest

Answer:

its c

Step-by-step explanation:

i got it right

After computing a confidence interval, the user believes the results are meaningless because the width of the interval is too large, the best recommendation is c. Increase the sample size.

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. A confidence interval is calculated at a specific confidence level; the 95% confidence level is the most commonly used, but other levels, such as 90% or 99%, are also used.

Confidence intervals are used by statisticians to quantify uncertainty in a sample variable. A researcher, for example, may randomly select different samples from the same population and compute a confidence interval for each sample to determine how well it may represent the true value of the population variable. The resulting datasets are all unique, with some intervals containing the true population parameter and others not.

In this case, the sample size should be increased when the results are meaningless because the width of the interval is too large.

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Complete questions

After computing a confidence interval, the user believes the results are meaningless because the width of the interval is too large. Which one of the following is the best recommendation?

a. Increase the level of confidence for the interval

b. Decrease the sample size

c. Increase the sample size

d. Reduce the population variance

Answer:

4p√7

Step-by-step explanation:

Answer:

  zero

Step-by-step explanation:

If the same sum is received for the sale of 20 apples at price p as is received for the sale of 140 apples at price p, then we must have ...

  20p = 140p

  120p = 0 . . . . . . subtract 20p

  p = 0 . . . . . . . . . divide by 120

The price was zero.

Answer:

Step-by-step explanation:

This is the tricky one

I think 'The Seven Apple' is the hint. Let's see what the numbers have to do  with 7:

Assume each '7 apples' sold for a fixed price x and each 'extra' apple sold for a different price y. Since all add up to make same amount, we get:

Let x = 1, then we get y = 3

So we get the sold price:

So each apple woman got 20 units of money for their apples.

Price was 1 unit of money per each 7 and 3 units of money per each extra apple

Answer:

The equation that describes the profit the store makes in a day that X units of yo-yo is sold is  P= X × $8.00 - $50.00

Step-by-step explanation:

The information given are;

The price of each yo-yo = $8.00

The only available cost is the store clerk fee cost per day = $50.00

Let us call the number of yo-yo's sold per day as X

Therefore, the amount sold per day = X × $8.00

The company's profit, P = Total sales - Total cost

∴ P= X × $8.00 - $50.00

Therefore, the equation that describes the profit the store makes in a day that X units of yo-yo is sold = P= X × $8.00 - $50.00.

Answer:

To find (f•g)(-2), we need to first calculate f(-2) and g(-2).

f(-2)=-3(-2)-1=-7

g(-2)=(-2)^2+5=9

Then, we can calculate (f•g)(-2) as follows:

(f•g)(-2)=f(-2)g(-2)=-7*9=-63

Answer:1.75

for each gallon we need to find the rate of each.So 7 gallons takes 4 cups.We will divide the 7 gallons over the 4 cups.

7/4=1.75

1.75 cups of lemonade for each gallon

Mathematical functions like the logarithm are utilized to solve exponentiation-based equations. The exponent to which the base must be raised in order to achieve a particular number is determined by the logarithm of that number to that base.

We may use the definition of a logarithm to find the solution to the equation 104ln(98x) = 6.

The following definition applies to the logarithm function with base b:

If and only if bx = y, then log_b(y) = x.

In this instance, 104ln(98x) = 6 is the equation. We must separate out the logarithmic term in order to find x.

We get ln(98x) = 6/104 by dividing both sides of the equation by 104.

Next, we can use the natural base e to exponentiate both sides of the equation. We shall apply the property e(ln(x)) = x since ln is the natural logarithm.

e^(ln(98x)) = e^(6/104)

98x = e(6/104) is the result of utilizing the logarithm property to simplify the left side.

We divide both sides by 98 to find x:

x = e^(6/104) / 98

The answer to the equation is this. Be aware that the mathematical constant e is roughly 2.71828. You can change the value of e and evaluate the equation to approximate a number.

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Answer:

pneumonoultramicroscopicsilicovolcanoconiosis.

Step-by-step explanation:

If you search it up, pneumonoultramicroscopicsilicovolcanoconiosis, is the longest word.

Hope this helps!

Answer:

Surface area of prism = 1301 cm²

Step-by-step explanation:

A triangular pyramid has 3 rectangular sides and 2 triangular sides.

Now, we are told that the triangular side is isosceles.

This means that two of the rectangular sides which share a side with the equal side of the triangle are equal as well as the 2 triangular sides.

Surface area of prism = 2(area of triangular face) + 2(area of rectangle sharing one side with the equal side of the triangle) + (area of rectangle sharing side with the unequal side of the triangle).

Area of triangle = ½ × base × height

Area of triangle = ½ × 9 × 13 = 58.5 cm²

Since height of prism is 32 cm, then;

area of rectangle sharing one side with the equal side of the triangle = 32 × 14 = 448 cm²

area of rectangle sharing side with the unequal side of the triangle = 32 × 9 = 288 cm²

Thus;

Surface area of prism = 2(58.5) + 2(448) + 288

Surface area of prism = 1301 cm²

Answer:

Step-by-step explanation:

Hope that helps! :)

-Aphrodite