Keilantra has $660 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $488.20.
She buys 2 bicycle reflectors for $11.17 each and a pair of bike gloves for $19.05.
She plans to spend some or all of the money she has left to buy new biking outfits for $37.26 each.

Write and solve an inequality which can be used to determine xx, the number of outfits Keilantra can purchase while staying within her budget.

The remainder is 5 + c, which means that the expression P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) divided by (x + 1) results in a quotient of\(5x^3 + 2x^2 - 4x + 4\) and a remainder of 5 + c.

To divide the polynomial P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) by the binomial (x + 1), we can use polynomial long division.

Let's set up the long division:

    \(5x^3 + 2x^2 - 4x + 4\)

_______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

We start by dividing the highest degree term of the dividend (5x^4) by the divisor (x + 1), which gives us 5x^3. We then multiply this quotient by the divisor (x + 1) and subtract it from the dividend:

              \(5x^3(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- (\(5x^3 + 5x^2)\)

This leaves us with a new polynomial:\(2x^3 - 7x^2 - 3x + c\). We repeat the process by dividing the highest degree term of this polynomial (2x^3) by the divisor (x + 1), resulting in 2x^2. We then multiply this quotient by the divisor and subtract it from the polynomial:

              \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

-\((5x^3 + 5x^2)\)

_______________________

\(2x^2 - 3x + c\)

We continue this process until we reach the constant term, resulting in the remainder of the division.

At this point, we have:

               \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- \((5x^3 + 5x^2)\)

_______________________

\(2x^2 - 3x + c\)

-\((2x^2 + 2x)\)

_______________________

- 5x + c

- (-5x - 5)

_______________________

5 + c

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Answer:

.6/37.

Step-by-step explanation:

Answer:

D) 88 feet

Step-by-step explanation:

24+24+20+20= 88

since it is a rectangle you add up the same sides by each other too.

Answer:

1)17

2)33

3)9

4)27

5)1252

6)50

Step-by-step explanation:

Answer:

you have to divide 105 by 3

Step-by-step explanation:

Answer:

35 words a minute

Step-by-step explanation:

105/3=35

Answers Attached

__________________________________________________________

\(3x^2-15x= 15\\\\x^2 -5x = 5\\\\x^2-5x-5=0\\\\\Delta = 25+20\\\\\Delta = 45\\\\\\x = \dfrac{5\pm \sqrt{\Delta}}{2}\\\\\\x = \dfrac{5\pm \sqrt{45}}{2}\\\\\\x = \dfrac{5\pm 3\sqrt{5}}{2}\\\\\\\)

The required number of cup of milk required to make 87 cookies.

While you're discussing a recipe, you can make sense of what fixings are required by talking about that the recipe "calls for ___". For instance: It calls for olive oil.

A recipe calls for of a cup of milk for 29 cookies.

It means we need 29 cookies for one cup of milk,

To find number of cup need to make 87 cookies.

Then,

29 cookies = one cup

one cookie = one cup/29

87 cookies = 87/29 cup of milk

3 cup of milk

Thus, there are 3 cup of milk required.

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Answer:

Listed below

Step-by-step explanation:

Looking at this problem, we can see that for each new dot, 3 lines are added. So, if we wanted to solve for the number of lines and dots for each box, we can use this equation if n = dots:

Inserting 4 into the equation as n:

So, if there are 4 dots, there will be 13 lines.

Solving for the 5 box:

So, if there are 5 dots, there will be 16 lines.

Solving for the 6 box:

So, if there are 6 dots, there will be 19 lines.

To solve for the number of lines with n dots, we use the equation listed above. (4 + [(n - 1) × 3] =?)  

To solve for the number of lines if there are 50 dots, we can use the same equation with 50 as n:

So, if there are 50 dots, there will be 151 lines.

To solve for the number of dots if there are 85 lines, we can simply count on from 19 with 6 dots.

Therefore, there are 85 lines in the pattern with 34 dots.

We can apply the order of four transformations to the graph of f(x) in order to sketch the graph of g(x): A 3-unit horizontal shift to the left : The graph becomes f(x-3 ) as a result, with a vertical asymptote at x = 0 rather than x = 3.

2. To move from f(x) to g(x), four transformations are used:

A three-unit horizontal shift to the left: The graph thus shifts by a factor of -2 three units in the direction of the left  A vertical stretch.

You must first define the function and its domain before you can plot its graph. We can begin by sketching the piecewise linear graph of f(x) = |x|, which has a slope of 1 for x greater than 0 and -1 for x less than 0 in order to sketch the graph of g(x) = -2|x-3|+1. The vertical asymptote is shown by the x axis. For all real numbers, the definition of the f(x) graph exists.

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Answer:

21

Step-by-step explanation:

14 - (-20) + (-13) =

= 14 + 20 - 13

= 34 - 13

= 21

Answer:

=−3125x^10y^25

Step-by-step explanation:

Therefore , the solution of the given problem of unitary method comes out to be the fence's true length is about 17.92 feet.

Use the tried-and-true fundamental method, the actual variables, and any relevant information gleaned from general and specific questions to complete expression the assignment. Customers may be given another chance to taste the products in response. If these adjustments don't happen, we'll lose out on significant advancements in our understanding of programmes.

Here,

We can utilise the idea of proportions to determine the fence's actual length based on the scale drawing.

Given:

24 feet are represented by 3.75 inches at the given scale.

Let's establish a ratio:

=>  24 feet x 3.75 inches = 2.8 inches

where x represents the fence's real length.

If we cross-multiply, we obtain:

=>  24 feet * 2.8 inches * 3.75 inches

If we simplify, we get:

=>  3.75x = 67.2

By multiplying both sides by 3.75, we obtain:

=>  x = 67.2 / 3.75

=> × ≈ 17.92 feet

Therefore, the fence's true length is about 17.92 feet.

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The 99% confidence interval for the population proportion p is (0.776, 0.824).

To find the 99% confidence interval for a proportion, we can use the formula:

CI = p^ ± z*(SE)

where p^ is the sample proportion, SE is the standard error, and z is the critical value from the standard normal distribution corresponding to the level of confidence.

For a 99% confidence interval, the critical value z is 2.576.

Substituting the given values into the formula, we have:

CI = 0.80 ± 2.576*(0.03/√200)

Simplifying this expression, we have:

CI = 0.80 ± 0.024

This means that we are 99% confident that the true population proportion falls between 0.776 and 0.824. We can interpret this interval as a range of plausible values for the population proportion, based on the sample data.

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Original Cost = $1549

Sales Price = $1149

1549 - 1149 = 400 -----> discount

400/1549 = 0.25 = 25%

Answer:

52,047.96

Step-by-step explanation:

Answer:

I hope this is correct but 8.5 or 8 1/2 Units

Answer:

i think it is 8 1/2.

Step-by-step explanation:

my reasoning is that because v=lwh. the length is 4 and hw is 2 1/8. so i multiplied those together.

Answer:

4

Step-by-step explanation:

a. Assume a is even, so a = 2k for some integer k. Now let a and b be integers such that a divides b and a + b is odd.

Since a divides b, b = an for integer n, and in turn b = 2nk, which means b is even and hence a + b is also even. But this contradicts our initial assumption, so a must be odd.

b. Let n be even, so that n = 2k for some integer k. Then

n² = (2k)² = 4k²

so that n² ≡ 0 (mod 4).

Now let n be odd, so n = 2k + 1 for integer k. Then

n² = (2k + 1)² = 4k² + 4k + 1

so that n² ≡ 1 (mod 4).

Therefore n² is never congruent to 2 (mod 4).

Answer:

x = 12

y = 9

Step-by-step explanation:

\(\triangle ACD \cong \triangle BCD.. (given) \\\\

\therefore AC \cong BC\\\\

\therefore m(AC) = m(BC) \\\\

\therefore 2x = x + 12\\\\

\therefore 2x - x = 12\\\\

\therefore x = 12\\\\

Similarly \\\\

BD \cong AD\\\\

\therefore m(BD) = m(BD) \\\\

2y - 4= y + 5\\\\

2y - y = 4 +5\\\\

y = 9

\)

The type of model that best fits the situation of a $500 raise in salary each year is a linear model.

In a linear model, the dependent variable changes a constant amount for constant increments of the independent variable.

In the given case, the dependent variable is the salary and the independent variable is the year.

You may build a table to show that for increments of 1 year the increments of the salary is $500:

Year         Salary        Change in year         Change in salary

2010           A                           -                                       -

2011           A + 500     2011 - 2010 = 1          A + 500 - 500 = 500

2012          A + 1,000   2012 - 2011 = 1          A + 1,000 - (A + 500) = 500

So, you can see that every year the salary increases the same amount ($500).

In general, a linear model is represented by the general equation y = mx + b, where x is the change of y per unit change of x, and b is the initial value (y-intercept).              

In this case, m = $500 and b is the starting salary: y = 500x + b.

Answer:

The probability is 1

Step-by-step explanation:

P ( Jamaal winning) = Jamaal / number of people running

                                 = 1/1

                                  = 1

Answer:

1

Step-by-step explanation: :-)

Answer:

(Choice B)

(Choice C)

Step-by-step explanation:

the time is only 9:30 and fine in it lol

Given that they typically worked 16 hours a day and mowed 80 yards, the data point that would represent this information would be (16, 80). This data point would be displayed on the graph alongside other data points, allowing us to compare them to the average and observe trends.

A graph is a visual representation of data or information. It consists of two axes, typically labeled the x-axis and the y-axis, which intersect at a point called the origin. The x-axis is the horizontal axis, while the y-axis is the vertical axis.

Data is plotted on the graph as points or lines, with each point or line representing a specific value or relationship between variables. Graphs can be used to display a wide range of information, such as numerical data, relationships between variables, and trends over time.

Common types of graphs include line graphs, bar graphs, scatter plots, and pie charts. Graphs are widely used in fields such as mathematics, statistics, economics, and the sciences to help visualize and analyze data.

The graph would be a scatter plot with two axes: the x-axis would represent the number of hours worked, and the y-axis would represent the number of yards mowed. The data points on the graph would be plotted as ordered pairs (x, y), where x is the number of hours worked and y is the number of yards mowed.

For example, if one team worked for 10 hours and mowed 50 yards, the data point would be (10, 50). Similarly, if another team worked for 20 hours and mowed 100 yards, the data point would be (20, 100).

Based on the given information that the average they worked was 16 hours and mowed 80 yards, the data point representing this information would be (16, 80). The graph would show this data point among others, and we could see how the other data points compared to the average.

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Answer:

the answer would would be 10^4/7

Step-by-step explanation:

Calculate 10 to the power of 4, then solve 10,000 to the square power of 7, and you get 10^4/7. I hope this helps, sorry if my explanation is bad, I don't really know how to explain, but I hope you get this correct.

Calculating the total number of deaths for all countries requires collecting data from various sources and summing up the individual death counts. Here is a step-by-step guide on how to approach this calculation:

Identify reliable sources: Look for reputable sources that provide updated and accurate information on global death counts.

Gather country-specific data: Access the data provided by these sources and collect the individual death counts for each country.

Validate and verify data: Cross-reference the data from multiple sources to ensure consistency and accuracy.

Sum up the death counts: Add up the individual death counts for each country to obtain the total number of deaths.

Regularly update the data: As the situation evolves, keep track of new data releases and updates.

Calculating the total number of deaths for all countries requires collecting data from various sources and summing up the individual death counts. Here is a step-by-step guide on how to approach this calculation:

Identify reliable sources: Look for reputable sources that provide updated and accurate information on global death counts. Examples include official government health agencies, international health organizations (e.g., WHO), and reputable databases (e.g., Worldometer, Johns Hopkins University).

Gather country-specific data: Access the data provided by these sources and collect the individual death counts for each country. Ensure the data is recent and covers a comprehensive list of countries.

Validate and verify data: Cross-reference the data from multiple sources to ensure consistency and accuracy. Different sources may have slight variations, so it's important to verify the data and use the most reliable figures.

Sum up the death counts: Add up the individual death counts for each country to obtain the total number of deaths. Use a spreadsheet or calculator to perform the calculations accurately.

Regularly update the data: As the situation evolves, keep track of new data releases and updates. Update the total number of deaths accordingly to maintain accuracy.
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The question probable may be:

How to calculate the total number of deaths for all the countries?

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