Mernie believes that having pets increases mental and physical well-being. To test this, she gives all of the individuals in one nursing home residence a pet while participants in a second nursing home residence are not given pets. Over two months, she evaluates the residents' mental and physical health on a daily basis. What is the independent variable in this study

Answer: 142.7

Step-by-step explanation:

Answer:

\(Slope=1.\)

Step-by-step explanation:

\(Calculate \: the \: slope \: m \: using \: the \\ \: slope \: formula \: \)

\(m = \frac{y2 - y1}{x2 - x1} \)

\(with(x^1,y^1)=(-2,-5)and(x^2,y^2)=(-3,-6)\)

\(m = \frac{ - 6 - ( - 5)}{ - 3 - ( - 2)} = \frac{ -6 + 5}{ - 3 + 2} = \frac{ - 1}{ - 1} = 1.\)

\(Thank \: you!!!\)

Answer:

8 pencils for every 4 students

Step-by-step explanation:

Answer:

4 pencils per 2 students

explanation:

i just did it

The outcome of a chemical reaction depends on various factors such as reactant properties, reaction conditions, and the nature of the reaction itself.

The outcome of a chemical reaction depends on various factors, such as reactant properties, reaction conditions, and the nature of the reaction itself. To predict the major products, it is essential to consider these factors in detail.

Reactant Properties: The functional groups, steric hindrance, and electronic properties of the reactants play a crucial role in determining the product.

Different functional groups exhibit varying reactivity, which can result in different products. Steric hindrance affects the accessibility of reactant molecules to each other, potentially leading to selective product formation. The electronic properties, such as electron-donating or electron-withdrawing groups, influence the reaction mechanism and the stability of intermediates, influencing the product outcome.

Reaction Conditions: Factors like temperature, pressure, solvent choice, and catalysts significantly impact the reaction. For instance, temperature affects the energy barrier for the reaction, favoring different pathways and products at different temperatures. Solvents and catalysts can modify the reaction mechanism, leading to different product distributions.

Nature of the Reaction: Different types of reactions, such as substitution, addition, elimination, or rearrangement, have distinct product formation patterns. Understanding the underlying mechanism and reaction type is crucial for predicting the major products accurately.

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Answer:86% es mas

Step-by-step explanation:

86% es lo mismo que 0.86 y eso es mayor que 0.086

Answer:

\( \frac{1}{2} - \frac{2}{15} = \frac{15 - 4}{30} = \frac{11}{30} \\ \\ we \: \: have \: \: to \: \: add \: \: any \: number \: \: which \: \: \\ is \: greater \: \: than \: \frac{11}{30} \)

Using proportions, it is found that he will have choreographed 44 lines in total if he completes his goal.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

She will clip for 9 weeks, 4 lines per week, hence the total added will be of:

A = 9 x 4 = 36 lines.

Considering she already has 8 lines, the total will be given by:

T = 8 + 33 = 44 lines.

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Answer: 89

the 18th term is 4 + (18 - 1).5 = 4 + 17.5 = 89

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

formula: Tn= a+(n-1)d

T89= 4+(18-1)*5

T89= 4+(17*5)

4+85

=89

hoped this helped:)

The lines which are parallel are none.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.

Given;

Coordinates of three lines

a;(1,5) and (-2,-4)

b;(3,2) and (1,-4)

c;(6,1) and (-4,2)

Now, slopes of the lines

a= -4-5/-2-1

=10/3

b=-4-2/1-3

=-3

c=2-1/-4-6

=1/-10

Therefore, by slopes of the line none of them are parallel.

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The correct option is OA. y+4= -3(x-3). L 4.6.3 Test (CST): Linear Equations Solution: We are given that a line passes through (3,-4) and has a slope of -3.

We will use point slope form of line to obtain the equation of liney - y1 = m(x - x1).

Plugging in the values, we get,y - (-4) = -3(x - 3).

Simplifying the above expression, we get y + 4 = -3x + 9y = -3x + 9 - 4y = -3x + 5y = -3x + 5.

This equation is in slope intercept form of line where slope is -3 and y-intercept is 5.The above equation is not matching with any of the options given.

Let's try to put the equation in standard form of line,ax + by = c=> 3x + y = 5

Multiplying all the terms by -1,-3x - y = -5

We observe that option (A) satisfies the above equation of line, therefore correct option is OA. y+4= -3(x-3).

Thus, the correct option is OA. y+4= -3(x-3).

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Therefore, the capacity of the tank must be at least 990 gallons volume to ensure that the probability of the supply being exhausted in a given week is 0.01.

To find the constant A, we integrate the given pdf over its support:

∫₀¹ A (1/x) dx = 1

Integrating, we get:

A [ln(x)]|₀¹ = 1

A ln(1) - A ln(0) = 1

A (0 - (-∞)) = 1

A = 1

Therefore, A = 1.

The capacity of the storage tank is the expected value of the weekly sales volume. We can find it by integrating x fx(x) over its support:

∫₀¹ x fx(x) dx

= ∫₀¹ x (1/x) dx

= ∫₀¹ dx

= [x]|₀¹

= 1

Therefore, the expected capacity of the storage tank is 1,000 gallons.

Let C be the capacity of the tank. The probability of the supply being exhausted in a given week is the probability that the weekly sales volume exceeds C. We can find this probability by integrating fx(x) from C to 1:

P(X > C) = ∫ₓ¹ fx(x) dx

= ∫C¹ (1/x) dx

= [ln(x)]|C¹

= ln(1) - ln(C)

= -ln(C)

We want P(X > C) = 0.01. Therefore, we have:

-ln(C) = 0.01

C = \(e^{(-0.01)\)

Using a calculator, we get C ≈ 0.990050.

Thus, the tank's capacity must be at least 990 gallons to ensure that the probability of the supply being depleted in a given week is less than 0.01.

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A circle and a plane can intersect at three non-collinear points. When a plane intersects a sphere at exactly one point, the intersection is a circle. If a plane intersects a sphere at two points, the intersection is a circle.

And if a plane intersects a sphere at three points, the intersection is three non-collinear points. The three points of intersection are called the points of intersection of the plane and the sphere.

A triangle is a geometric shape that is formed by three line segments that intersect at three non-collinear points.

The three line segments are called the sides of the triangle, while the three points where they intersect are called the vertices of the triangle. Here, the given triangle is a right-angled triangle, So we can use trigonometry rule:

Therefore, the simplest radical form is  \(= Cos 30\)  .

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The length οf side x  in simplest radical fοrm with a ratiοnal denοminatοr is (4√3)/3 units

And if a plane intersects a sphere at three pοints, the intersectiοn is three nοn-cοllinear pοints. The three pοints οf intersectiοn are called the pοints οf intersectiοn οf the plane and the sphere.

Here we have a right 60,30 Triangle with Side 2 units and Hypοtenuse x units.

Nοw,

Sin 60° = Opp./Hyp

Sin 60° = 2/x

But we knοw that,

Sin 60° = √3/2

Sο,

√3/2 = 2/x

Crοss multiplying we get,

x√3 = 4

x = 4/√3

Ratiοnalizing the denοminatοr,

x = (4/√3) × (√3/√3)

x = (4√3)/3 units

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Complete Question:

Answer:

The number is -6.

Step-by-step explanation:

Variable x = a number

Set up an equation:

3x + 12 = -6

Isolate variable x:

3x = -18

x = -6

Check your work:

3(-6) + 12 = -6

-18 + 12 = -6

-6 = -6

Correct!

Answer:

3x +12=-6

3x=-6-12

3x=-18

x=-18/3

x=-6

Answer: cool

Step-by-step explanation:

Answer: ok

Step-by-step explanation: ok

Answer: 1/12

Step-by-step explanation:

5/12 - 1/3

1/3 = 4/12

5/12 - 4/12 = 1/12

Answer:

prism

Step-by-step explanation:

Answer:

it is a cube but if we using the answer her it will be C.prism because a cube is a prism

If we denote the probability of hitting a bullseye on a dartboard with radius 12 inches as a function of the size of the bullseye, we can refer to this function as PS.

The function PS represents the probability of hitting the bullseye and is dependent on the size of the bullseye. The larger the bullseye, the higher the probability of hitting it, and vice versa. By adjusting the size of the bullseye, we can determine the corresponding probability of hitting it using the function PS.

It's important to note that without specific information about the relationship between the bullseye size and the probability, it's not possible to provide a specific mathematical expression or further details about the PS function. The function would need to be defined or provided to calculate the probability accurately.

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Answer:

More money was made at the spring concert

Step-by-step explanation:

Here, we want to know if more or less money was made during the spring or fall concert

from the question, we are told that the amount made at spring concert is 9/8 of what is made at a fall concert

Since 9/8 is greater than 1, we can confidently say that the amount made at the spring concert is greater than what she made at the fall concert

Answer:

y=-0.5x+2 (-4,0) (0,2)   y=0.5x+6 (0,6)(12,0)

Step-by-step explanation:

Desmos

Answer:

It's not given a scatter plot not the characteristics of the variables, but it can be safely assumed as shown below

Answer:

The diver's depth will be -42.9 after 30 minutes

Step-by-step explanation:

The equation of the trend (or best fit line) for the scuba diver's depth in the ocean is:

y = -3.29x - 10

Where y is the diver's depth and x is the time in minutes.

To predict the diver's depth at x=30 minutes, substitute in the equation:

y = -3.29(10) - 10

y = -32.9 - 10

y = -42.9

Since no units are provided for y, the answer is:

The diver's depth will be -42.9 after 30 minutes

lol so yes-

The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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The quadratic formula is an algebraic formula that provides the solutions to a quadratic equation. A quadratic equation is an equation of the shape ax^2 + bx + c = 0, where a, b, and c are constants.

The quadratic formula gives the values of x that satisfy the equation and is expressed as:

x = (-b ± √ (b^2 - 4ac)) / (2a)

In other words, the quadratic formula provides a method for finding the two roots of a quadratic equation, even if the equation cannot be solved by factoring or other methods.

The formula works for all quadratic equations and is a widely used tool in mathematics and various scientific and engineering fields.

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Answer:

The measure of angle WVX is 140°.

Step-by-step explanation:

Let x be the measure of angle WVX.

\( \frac{14}{9} \pi = 2x\)

\( x = \frac{7}{9} \pi( \frac{180}{\pi}) = 140 \: degrees\)

Answer:

angle = arc length/radius
in this case, the arc length is 14/9*\(\pi\) and the radius is 2. Upon multiplying these, you get 140.

so, the answer is 140 degrees.

It will take 22 years and 3 months to get the present value of $12,000 invested at 2.3% compounded monthly to get to $20,000 (future value).

The period that it will take the present value to reach a certain future value can be determined using an online finance calculator with the following parameters for periodic compounding.

I/Y (Interest per year) = 2.3%

PV (Present Value) = $12,000

PMT (Periodic Payment) = $0

FV (Future Value) = $20,000

Results:

N = 266.773

266.73 months = 22 years and 3 months (266.73 ÷ 12)

Total Interest = $8,000.00

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The opposite side of the right triangle (x) is approximately 6.888 inches long.

To solve this problem, we can use the trigonometric ratio for the sine function, which is opposite/hypotenuse. We have the hypotenuse as 12 inches and the opposite angle as 35 degrees, so we can set up the equation:

sin(35) = opposite/12

To solve for the opposite, we can multiply both sides by 12:

opposite = 12 * sin(35)

sin(35) as approximately 0.574:

opposite = 12 * 0.574

opposite ≈ 6.888

Therefore, the opposite side of the right triangle (x) is approximately 6.888 inches long.

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Answer:

1. x=1

2. x=-1

3. No solution

4. x=2

5. x= -6

Step-by-step explanation: