Peyton wanted to buy a new game. The game costs $65.00 before sales tax. If the sales tax is 8%, how much will she pay for the game?

Answer:

Step-by-step explanation:

To define the perpendicular line we need to first know the slope of the reference line graphed.

m=(y2-y1)/(x2-x1) we have points (0,5) and (2,1)

m=(1-5)/(2-0)

m=-4/2

m=-2

For lines to be perpendicular their slopes must satisfy

m1m2=-1, we have a line with a slope of -2 so

-2m=-1

m=1/2, so our perpendicular line is so far

y=x/2+b, it must have point (3,2) so we can solve for b

2=3/2+b

b=1/2, so the swimmer will travel along the line

y=x/2+1/2

You can infer causality from a correlational result, but only when the r value is greater than:

C. 1

Causality refers to a situation in which one event causes another. When there is a correlation between two variables, it means that they tend to move in the same direction.

However, this does not necessarily mean that one event causes the other. In order for a correlation to indicate causality, the correlation coefficient (r) must be greater than 1. If the correlation coefficient is below 1, then there is not enough evidence to suggest that one event causes the other.

In addition, there are other factors that need to be considered when assessing causality from a correlational result.

For example, the strength of the relationship between the variables, the direction of the relationship, and the consistency of the results over time. It is also important to consider the context in which the research was conducted, as this may have an effect on the results.

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∑ (-1)ⁿ xⁿ/n   is convergent for  x ∈ (−1,1].

Given the series ∑ (-1)ⁿ xⁿ/n

we can use the ratio test by evaluating:

n/(n+1) |x|

So we get two cases,

i) x = 1

∑ (-1)ⁿ xⁿ/n  = (-1)ⁿ/n which is the alternate harmonic series and is convergent.

ii) ∑ (-1)ⁿ xⁿ/n = ∑ (-1)ⁿ  (-1)ⁿ/n = ∑ 1/n which is the harmonic series and is divergent.

In conclusion the series is convergent for x ∈ ( -1, 1].

A power series' radius of convergence is equal to the diameter of the biggest disk at the series' convergence point. A non-negative real number or are both possible. When it is positive, the power series converges to the Taylor series of the analytical function absolutely and evenly on compact sets inside the open disk with radius equal to the radius of convergence.

The radius of convergence is the shortest or smallest of all the estimated distances from the center of the disk of convergence to each individual singularity of a function in the event of multiple singularities (singularities are those values of the argument for which the function is not defined).

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Answer: B

Step-by-step explanation:

you use the coordinates to find the sides

Answer: An equation with one variable can have no solutions, one solution, or infinitely many solutions. An equation with two variables can have no solutions, one solution, or infinitely many solutions

Step-by-step explanation:

brainliest me

Answer:

1. y=-2x+5

2. y=1/2x-7.5

Step-by-step explanation:

you plug in the cordinates for the y intercept and you already have the slope.

y=mx+b

m= slope which is -2

For each x in the interval 0 ≤ x ≤ 5, the shell at that point has

• radius = 5 - x, which is the distance from x to x = 5

• height = x ² + 2

• thickness = dx

and hence contributes a volume of 2π (5 - x) (x ² + 2) dx.

Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:

\(\displaystyle 2\pi \int_0^5 (5-x)(x^2+2)\,\mathrm dx=2\pi\int_0^5 (10-2x+5x^2-x^3)\,\mathrm dx=\boxed{\frac{925\pi}6}\)

By secant line formula, the slopes corresponding to the lines are listed below:

In this problem we have nine representations of lines, whose slopes must be determined. A line is represented by equations of the form:

y = m · x + b

Where:

According to analytic geometry, slope can be found by knowning the location of two points (initial, final) set on Cartesian plane and secant line formula:

m = (y₂ - y₁) / (x₂ - x₁)

Where:

Case 1: (x₁, y₁) = (0, - 3), (x₂, y₂) = (2, 1)

m = (2 - 0) / [1 - (- 3)]

m = 2 / 4

m = 1 / 2

Case 2: (x₁, y₁) = (- 3, 2), (x₂, y₂) = (1, - 3)

m = (- 3 - 2) / [1 - (- 3)]

m = - 5 / 4

Case 3: (x₁, y₁) = (- 3, - 4), (x₂, y₂) = (2, 3)

m = [3 - (- 4)] / [2 - (- 3)]

m = 7 / 5

Case 4: (x₁, y₁) = (0, 3), (x₂, y₂) = (3, - 3)

m = (- 3 - 3) / (3 - 0)

m = - 6 / 3

m = - 2

Case 5: (x₁, y₁) = (- 2, 1), (x₂, y₂) = (3, 2)

m = (2 - 1) / [3 - (- 2)]

m = 1 / 5

Case 6: (x₁, y₁) = (- 4, 3), (x₂, y₂) = (4, 1)

m = (1 - 3) / [4 - (- 4)]

m = - 2 / 8

m = - 1 / 4

Case 7: (x₁, y₁) = (2, - 4), (x₂, y₂) = (4, 2)

m = [2 - (- 4)] / (4 - 2)

m = 6 / 2

m = 3

Case 8: (x₁, y₁) = (- 4, - 1), (x₂, y₂) = (0, - 3)

m = [- 3 - (- 1)] / [0 - (- 4)]

m = - 2 / 4

m = - 1 / 2

Case 9: (x₁, y₁) = (- 2, 0), (x₂, y₂) = (4, 1)

m = (1 - 0) / [4 - (- 2)]

m = 1 / 6

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Answer:

B. 2

Step-by-step explanation:

Answer:

21 is your answer

Step-by-step explanation:

The combination formula is used to calculate the number of ways to choose r items from a set of n items without regard to order. The formula is:

C(n,r) = n! / (r! * (n-r)!)

where n is the total number of items and r is the number of items to be chosen.

Using this formula, we can solve the problem when n = 7 and r = 5 as follows:

C(7,5) = 7! / (5! * (7-5)!)

= (7 x 6 x 5 x 4 x 3 x 2 x 1) / [(5 x 4 x 3 x 2 x 1) x (2 x 1)]

= (7 x 6) / (2 x 1)

= 21

Therefore, there are 21 ways to choose 5 items from a set of 7 items without regard to order.

A line graph is the appropriate data display for the daily high temperature in your town because it effectively shows the changes and trends in temperature over time.

The appropriate data display for the daily high temperature in your town would be a line graph.

A line graph is a useful way to show how a variable, such as temperature, changes over time. In this case, the x-axis would represent the dates or days of the week, while the y-axis would represent the temperature. Each data point would be plotted on the graph to show the daily high temperature.

A line graph is a good choice because it allows us to see the trends and patterns in the temperature over time. For example, we can easily identify periods of warm weather or cold spells. It also allows for easy comparison between different days or weeks.

Line graphs are also helpful in identifying any seasonal patterns or trends in the temperature. For instance, if you notice that the temperature tends to rise during the summer months and fall during the winter months, it can help you understand the seasonal variations in your town.

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The general anti-gradient of Δf(x,y) for (a) is f(x,y) = 3x^2 + 2y^4 - 2y + 6xy^2 + C and for (b) is f(x,y) = 3x^2/y - 2e^-2x + 2y - 2x^3/y^2 + C.

For part (a), the general anti-gradient of Δf(x,y) is f(x,y) = 3x^2 + 2y^4 - 2y + 6xy^2 + C, where C is an arbitrary constant. For part (b), the general anti-gradient of Δf(x,y) is f(x,y) = 3x^2/y - 2e^-2x + 2y - 2x^3/y^2 + C, where C is an arbitrary constant.

(a) To find the general anti-gradient of Δf(x,y) = (6x + 4y^3, –2 + 12xy^2), we need to integrate each component with respect to its corresponding variable. Integrating the first component with respect to x yields 3x^2 + 6xy^2 + C1, where C1 is an arbitrary constant. Integrating the second component with respect to y yields -2y + 2y^4 + C2, where C2 is an arbitrary constant. Therefore, the general anti-gradient of Δf(x,y) is f(x,y) = 3x^2 + 2y^4 - 2y + 6xy^2 + C, where C = C1 + C2.

(b) To find the general anti-gradient of Δf(x,y) = (6x/y^2 - 2e^-2x, - 6x^2/y^3 + 4y), we need to integrate each component with respect to its corresponding variable. Integrating the first component with respect to x yields 3x^2/y - 2e^-2x + C1, where C1 is an arbitrary constant. Integrating the second component with respect to y yields 2y - 2x^3/y^2 + C2, where C2 is an arbitrary constant. Therefore, the general anti-gradient of Δf(x,y) is f(x,y) = 3x^2/y - 2e^-2x + 2y - 2x^3/y^2 + C, where C = C1 + C2.

Therefore, the general anti-gradient of Δf(x,y) for (a) is f(x,y) = 3x^2 + 2y^4 - 2y + 6xy^2 + C and for (b) is f(x,y) = 3x^2/y - 2e^-2x + 2y - 2x^3/y^2 + C.

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The Solutions to 12m ² - 4mn-5n² are:

m = n/3 or m = -5n/3

To solve the quadratic equation 12m² - 4mn - 5n² = 0, we can use the quadratic formula:

m = (-b ± √(b^2 - 4ac)) / 2a

where a = 12, b = -4n, and c = -5n².

Substituting these values into the formula, we get:

m = (-(-4n) ± √((-4n)^2 - 4(12)(-5n²))) / 2(12)

Simplifying:

m = (4n ± √(16n² + 240n²)) / 24

m = (4n ± √(256n²)) / 24

m = (4n ± 16n) / 24

So the solutions are:

m = n/3 or m = -5n/3

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Answer:

if point bearing of k-l is 084 degree so the bearing of point l-k is 84 degree

The bearing of a point L from a point K is 264 degrees.

What is Addition?

A process of combining two or more numbers is called addition.

Given that;

The bearing of a point K from a point L is 084 degrees.

Now,

Since, The bearing of a point K from a point L is 084 degrees.

Hence, The bearing of a point L from a point K = 180° + 84°

                                                                         = 264°

Thus, The bearing of a point L from a point K is 264 degrees.

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Answer:

y = -1/2x + 4

Step-by-step explanation:

y=mx+b

3 = m* 2 + b   .. pass (2,3)

y = 0       x = - b/m  .. x intercept

-b/m = 2b .... divide b both side

-1/m = 2           m= -1/2

b = 3 - 2m = 3 - (2*-1/2) = 4

equation:  y = -1/2x + 4

Answer:

Domain: x < 5

Range: all numbers, -∞, ∞

This is because the problem will be able to be solved with multiple solutions as long as there are no specific values assigned to x. The problem will have a solution from a range of negative infinity to infinity, meaning every number or solution you can think of.

Answer:

$91

Step-by-step explanation:

20% of 120= 96

96-5=91

The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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Answer:

Step-by-step explanation:

Answer:

$4

Step-by-step explanation:

for plan A you can see per minutes it increases 5 cents so for 20 minutes it would be $36

for plan B you install 20 into your equation

c=30+0.10(20)

.10×20=2

2+30=32

therefore you subtract because its asking for the difference

36-32=4

Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.

To find the p-value from the t statistic on TI-84, you will need to perform a hypothesis test. Here are the steps:1. Enter your data into the calculator and choose the appropriate test.2. Calculate the t statistic by dividing the sample mean by the standard error.3. Determine the degrees of freedom. This is n-1 for a one-sample t-test or n1+n2-2 for a two-sample t-test. 4. Use the t-distribution table to find the critical value for your test.5. Calculate the p-value using the t-distribution function on the calculator.6. Compare the p-value to the significance level (usually 0.05) to determine whether to reject or fail to reject the null hypothesis.7.

Therefore, The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming the null hypothesis is true. If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.

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Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Answer:

144 in^2

Step-by-step explanation:

Using the A = s^2 and the text says that s= 12in

 the answer is 12 in * 12 in = 144 in^2

We cannot find the 90% confidence interval for all first-year students at the university that will be traveling to and from campus by train with the given information.

In mathematics, an interval is a set of real numbers that includes all the numbers between two given values. More formally, an interval is a connected subset of the real number line. Intervals are commonly represented using brackets or parentheses. For example, [a,b] represents the closed interval from a to b, including both endpoints, while (a,b) represents the open interval from a to b, excluding both endpoints. Half-open intervals, such as [a,b) or (a,b], include one endpoint and exclude the other.

Intervals play a crucial role in mathematical analysis, calculus, and many other areas of mathematics. They are used to define functions, measure lengths, and study the behavior of mathematical objects over a range of values. Intervals also have important applications in physics, engineering, and other sciences.

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Answer:

A. 41 gallons

Step-by-step explanation:

Answer:

A. 41 gallons

explanation:

a standard bath tub can hold 41 gallons of water.

hope that helps...

Answer:

x2 - x - 12 is the Quadratic Polynomial Whose zeroes are -3 and 4.