Adrian is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The total cost of the gym membership over t t months is given by the equation C = 40 t + 125. C=40t+125. What is the slope of the equation and what is its interpretation in the context of the problem?

Equation of line in slope-intercept form is 3y-2x= -1.

Hence, Equation of line in slope-intercept form is 3y-2x= -1.

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Answer: 1/20 and 19/20

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

y=4x+6

y=6-4x

y=12

y=4x+6

12=4x+6

12-6=4x

6/4=4x/4

x=3/2

Answer:

A. One Solution

Step-by-step explanation:

y = 4x + 6

y + 4x = 6

By using elimination:

(y + 4x = 6) - (y - 4x = 6)

= (8x = 0)

x = 0

y - 4x = 6

y - 4 (0) = 6

y = 6

y = 6, x = 0

Therefore, answer choice A is the correct answer.

According to the question, the region is bounded by the curve with the given data as \(x = y^{3} , x=1, y=0.\)

To compute the volume of the solid, use the disk method. The given object is rotated along the horizontal axis with the disk cross sectional area and the volume can be written as:

\(v=\int\limits^a_b {\pi x^{2} } \, dx\)

As per question, when x = 1 then the value of y is: y = 1

Now, substituting calculated values in the expression:

\(v=\int\limits^a_b {\pi x^{2} } \, dx=v=\int\limits^0_1 {\pi x^{2} } \, dx\)

Substitute the value of the variable 'x':

Therefore, the expression can be written as:

\(v=\int\limits^a_b {\pi x^{2} } \, dx=v=\int\limits^0_1 {\pi x^{2} } \, dx=\int\limits^0_1 {\pi (y^{3}) ^{2} } \, dx=\frac{\pi }{7}=0.448\)

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The distance from the point (1,2) to the line 4x - 3y = 0 is 2/5 units.

To find the distance between a point and a line, we need to use the formula:

distance = |ax + by + c| / √(a^2 + b^2)

where a, b, and c are the coefficients of the equation of the line in the form ax + by + c = 0. In this case, the equation of the line is 4x - 3y = 0, so a = 4, b = -3, and c = 0.

To apply the formula, we need to find the values of x and y that correspond to the point (1,2) when they are plugged into the equation of the line. Solving for y in terms of x, we get:

4x - 3y = 0

-3y = -4x

y = (4/3)x

Now we can plug in the coordinates of the point (1,2) and find the distance:

distance = |4(1) - 3(2) + 0| / √(4^2 + (-3)^2)

= |-2| / √(16 + 9)

= 2 / √25

= 2/5

Therefore, the distance from the point (1,2) to the line 4x - 3y = 0 is 2/5 units.

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Answer:

9

Step-by-step explanation:

When given two points (x₁, y₁) and (x₂, y₂) on a plane, the Formula for the distance between the points is calculated as:

D= √(x₂ - x₁)² +(y₂ - y₁)²

In the question, we are given Point P is located at (2,-3), and point Q is located at (-4,4).

P(2, -3) , Q(-4, 4)

D = √(-4 - 2)² +(4 -(-3))²

D = √(-6)² + (7)²

D =√36 + 49

D = √85

D = 9.2195444573

Approximately to the nearest whole number, the distance between points P and Q is 9

Answer:

x=-6

Step-by-step explanation:

(8x-15)=(3x-45)

Answer: √3 is irrational whereas √9 is rational

Step-by-step explanation:

3x3=9. 3^2=9. but, ?x?=3 and ?^2=3. there is no number for that

The product of \(\sqrt{3}\) and \(\sqrt{9}\) is irrational

•

An irrational number is a type of real number which cannot be represented as a simple fraction and \(\sqrt{3}\) falls under this category. As fractions are just ratios, being multiplied by another number will not affect the ratio, thus making the product irrational.

Answer:0.625

Step-by-step explanation:

Using the given data, we have r = 4 and c = 3. Therefore, the degrees of freedom would be (4-1)(3-1) = 6.

Explanation

The given data is in the form of a table, which represents the number of facilities in different locations with varying levels of security. To determine the appropriate degrees of freedom for this test, we need to know the type of statistical analysis that is being performed.

Since the question does not provide any context or information about the statistical analysis, we cannot determine the appropriate degrees of freedom. It is possible that the degrees of freedom may not even be relevant to the analysis being performed.

However, if we assume that a chi-square test is being conducted to determine whether there is a significant association between the location and the security level of facilities, then the appropriate degrees of freedom would be (r-1)(c-1), where r is the number of rows and c is the number of columns in the table.
In summary, the appropriate degrees of freedom for this test would be 6 if a chi-square test is being conducted to determine the association between the location and the security level of facilities.

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Answer:

124.59

Step-by-step explanation:

The third digit of right of decimal point is 6

The second digit after decimal point is 8 which is greater than 5

So add 1 to 8

124.59

I maybe wrong! I wish you luck!

Answer:

100

Step-by-step explanation:

In a 45-45-90 triangle, the hypotenuse is always larger than either of the legs by a factor of \(\sqrt{2}\). x is therefore:

\(100\sqrt{2}\div \sqrt{2}=100\)

Hope this helps!

Step-by-step explanation:

9+16×+3

28×<7

35x it's answer can I help

Answer:

45.1 % is your answer. Hope this helps you have a great day.

Brainly please.

To approximate the sum of the series [infinity] (−1)n−1n^2/(8n), we can use a numerical method such as the partial sum method.

Let's calculate the partial sums of the series and add up terms until the sum converges to a desired level of accuracy. We will stop adding terms once the absolute difference between two consecutive partial sums is less than the desired accuracy.

Let's start by calculating the partial sums:

S_1 = (-1)^1-1(1^2)/(81) = 1/8

S_2 = (-1)^2-1(1^2)/(82) + (-1)^1-1(2^2)/(82) = 1/8 - 1/16 = 1/16

S_3 = (-1)^3-1(1^2)/(83) + (-1)^2-1(2^2)/(83) + (-1)^1-1(3^2)/(83) = 1/8 - 1/16 - 1/24 = -1/24

We can observe that the partial sums alternate between positive and negative values. This indicates that the series does not converge to a specific value but oscillates between two values.

To approximate the sum, we will calculate partial sums until the difference between two consecutive partial sums is less than the desired accuracy. Let's say we want the accuracy to be 0.0001.

Let's continue calculating partial sums:

S_4 = (-1)^4-1(1^2)/(84) + (-1)^3-1(2^2)/(84) + (-1)^2-1(3^2)/(84) + (-1)^1-1(4^2)/(84) = 1/8 - 1/16 - 1/24 + 1/32 = -1/48

S_5 = (-1)^5-1(1^2)/(85) + (-1)^4-1(2^2)/(85) + (-1)^3-1(3^2)/(85) + (-1)^2-1(4^2)/(85) + (-1)^1-1(5^2)/(8*5) = 1/8 - 1/16 - 1/24 + 1/32 + 1/40 = 1/120

The difference between S_4 and S_5 is 1/120 - (-1/48) = 1/120 + 1/48 = 1/80, which is greater than 0.0001.

Therefore, we can approximate the sum of the series as -1/48, correct to four decimal places.

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Answer:

40 percentage is 0.4 in decimal . I hope it helps you

Answer:

1. 52/3

Step-by-step explanation:

Answer:

Mode is 20.

Step-by-step explanation:

Mode is the value or values in the data set that occurs most frequently.

{12, 12.50, 13, 18.50, 20, 20}

20 is the number that occurs most frequently.

hope this helps and is right :)

Answer:

True

Step-by-step explanation:

\( \sqrt{82} = 9.055 \approx9.1\)

[one decimal place]

a0 is the regression term that describes the constant or intercept in the linear regression equation.

In a simple linear regression model, the equation takes the form of y = a0 + a1x + e1, where y is the dependent variable (or response variable), x is the independent variable (or predictor variable), a0 is the intercept or constant term, a1 is the coefficient of the independent variable, and e1 is the error term.

The intercept term, a0, represents the value of the dependent variable when the independent variable is zero. For example, in a linear regression model that predicts salary based on years of experience, the intercept would represent the starting salary for someone with zero years of experience. The intercept is an important component of the regression equation because it allows us to make predictions for values of x that are outside the range of our observed data.

The coefficient, a1, represents the change in the dependent variable for each one-unit increase in the independent variable. In the salary example, the coefficient would represent the average increase in salary for each additional year of experience.

Both the intercept and coefficient are estimated from the data using methods such as least squares regression. Once these values are estimated, we can use them to make predictions for new values of x.

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Answer:

28 ft

Step-by-step explanation:

112 ft / 4 sides (since it is a square background)

112/4 = 28 ft/side length.

The eigenvalues of the coefficient matrix A(t) are 1 and 3.To find the eigenvalues of the coefficient matrix A(t), we first need to express the given system of differential equations in matrix form. Let's define the vector X = [x, y, z].

The given system can be written as:

dX/dt = A(t) * X,

where A(t) is the coefficient matrix defined as:

A(t) = [[1, 1, -1],

[0, 3, 0],

[0, -1, 1]].

To find the eigenvalues of A(t), we need to solve the characteristic equation:

|A(t) - λI| = 0,

where I is the identity matrix and λ is the eigenvalue. Substituting the values of A(t), we get:

|[[1, 1, -1],

[0, 3, 0],

[0, -1, 1]] - λ[[1, 0, 0],

[0, 1, 0],

[0, 0, 1]]| = 0.

Expanding the determinant, we have:

|1-λ, 1, -1|

| 0 , 3-λ, 0|

| 0 , -1, 1-λ| = 0.

Calculating the determinant, we get:

(1-λ)[(3-λ)(1-λ)] - (1)[(0)(1-λ)] = 0.

Simplifying the equation, we have:

(1-λ)(3-λ)(1-λ) = 0.

Expanding further, we get:

(1-λ)^2(3-λ) = 0.

Setting each factor equal to zero, we obtain:

1 - λ = 0 => λ = 1,

3 - λ = 0 => λ = 3.

Therefore, the eigenvalues of the coefficient matrix A(t) are 1 and 3.

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Answer:

0.8 hours = 48 minutes per lawn

Step-by-step explanation:

10 lawns in 8 hours

hours per lawn 8/10 = 0.8 hours = 48 minutes

Answer:

4/5 hour per lawn

Step-by-step explanation:

We want to find Hunter's rate in hours per lawn.

Therefore, we must divide the number of hours by the number of lawns.

\(\frac{hours}{lawns}\)

He mowed 10 lawns in 8 hours.

\(\frac{8}{10}\)

This fraction can be simplified. Both the numerator and denominator can be divided by 2.

\(\frac{8/2}{10/2}\)

\(\frac{4}{5}\)

If we multiply by 60, we can find how many minutes this is. (60 minutes = 1 hour)

\(\frac{4}{5}*60=48\)

His rate is 4/5 hour per lawn or 48 minutes per lawn.

The rate of constant for the above-given first-order reaction is b.) 8.77 × 10–3 h–1.

The half-life of a first-order reaction can be calculated using the equation t1/2 = ln(2)/k, where t1/2 is the half-life and k is the rate constant.

In this case, we know that the reaction goes to half completion in 79 hours. Therefore, the half-life is also 79 hours.

Plugging this into the equation, we get:

79 = ln(2)/k

Solving for k, we get:

k = ln(2)/79

Using a calculator, we can evaluate this expression to get:

k = 8.77 × 10–3 h–1

Therefore, the correct answer is b) 8.77 × 10–3 h–1.

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7x+8y=32

Just do pemdas

Answer:

7x+8y=32

Step-by-step explanation:

Hi there!

We are given the following equation:

\(y=-\frac{7x}{8} +4\)

And we want to convert it into standard form

Standard form is ax+by=c, where a, b, and c are integer coefficients, a and b cannot be zero, and a cannot be negative

a is the coefficient in front of x and b is the coefficient in front of y

Since we have the term with x (\(-\frac{7x}{8}\)) on the right side, and we want it on the left side with the term with y, we can move it to the other side, by adding \(\frac{7x}{8}\) to both sides.

\(y=-\frac{7x}{8} +4\)

+\(\frac{7x}{8}\)   +\(\frac{7x}{8}\)

_________________

\(\frac{7x}{8} + y =4\)

Now we have the terms of x and y on both sides, but remember; we want the coefficients to be integers (whole numbers).

We'll need to clear the fraction of \(\frac{7x}{8}\). To do that, we can multiply both sides by 8.

\(8(\frac{7x}{8} + y) =8(4)\)

Now doing the distributive property:

\(8(\frac{7x}{8}) + 8(y) =8(4)\)

Multiply each term by 8.

7x + 8y = 32

Hope this helps!

We are given the system of equations and asked to solve it using the substitution method.

Answer:

the answer to this problem is -672

The specific name of the quadrilateral is trapezoid

The measure of the missing angle is 55 degrees

To determine the measure of the angle, we need to know the following;

The properties of a trapezoid are listed as;

From the information given, we have that;

125 + x = 180

collect the like terms, we have;

x = 180 - 125

subtract the values, we get;

x = 55 degrees

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