help pls im in need!!

Ratio of rise to run between the points (-2, 8) and (4, -3) = -11/6

To find the ratio of rise to run between two points, we need to calculate the difference in the y-coordinates (rise) and the difference in the x-coordinates (run) between the two points.

Given points:

Point 1: (-2, 8)

Point 2: (4, -3)

Rise = difference in y-coordinates = y2 - y1 = -3 - 8 = -11

Run = difference in x-coordinates = x2 - x1 = 4 - (-2) = 6

Therefore, the ratio of rise to run can be calculated as:

Ratio of rise to run = Rise / Run = -11 / 6

Thus, the ratio of rise to run between the points (-2, 8) and (4, -3) is -11/6.

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Answer:

N=CD C=2-3 sentance

Step-by-step explanation:

Answer:

\(x=12,\\y=6\sqrt{3}\)

Step-by-step explanation:

In all 30-60-90 triangles, the side lengths are in ratio \(x:x\sqrt{3}:2x\), where \(x\) is the side opposite to the 30 degree angle and \(2x\) is the hypotenuse, or longest side, of the triangle.

Since there are 180 degrees in a triangle, the angle on top must be 30 degrees. Therefore, its opposite side is 6 and \(x=6\) in the ratio \(x:x\sqrt{3}:2x\).

Thus, we have:

\(y=\boxed{6\sqrt{3}},\\x=2\cdot 6=\boxed{12}\)

The length sum and structural length index of both SCARA robots are equal even though their arm lengths are different.

Given prismatic link travel for both robots is 5 inches. The first robot has arm lengths of 3 inches and 1 inch. The second robot has equal arm lengths of 2 inches each. Compare the length sum and structural length index of two SCARA robots: First, calculate the length sum for each robot. Length sum for the first robot:

Length of the first arm = 3 inches

length of the second arm = 1 inch

Prismatic link travel = 5 inches

Length sum = length of first arm + length of second arm + prismatic link travel

Length sum = 3 + 1 + 5

Length sum = 9 inches

Length sum for the second robot: Length of the first arm = 2 inches

Length of the second arm = 2 inches

Prismatic link travel = 5 inches

Length sum = length of first arm + length of second arm + prismatic link

travel length sum = 2 + 2 + 5

Length sum = 9 inches, the length sum of both robots is equal.

Structural length index = (2 + 2) / 5Structural length index = 0.8

The structural length index of both robots is also equal.

Hence, the length sum and structural length index of both SCARA robots are equal even though their arm lengths are different.

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Answer:

f(-1) = 1

Step-by-step explanation

\(f(-1)= 2(-1)^{2} + 3\\f(-1) = -2 + 3\\f(-1) = 1\)

From greatest to least, the sides of the triangle are: b. ST, RS, TR.

In a triangle, the side opposite the largest angle is the longest side and the side opposite the smallest angle is the shortest side. Also, the side opposite the middle-sized angle is the medium-length side.

Therefore:

m<S = 20°, and is opposite to side TR.

m<T = 40°, and is opposite to side RS.

m<R = 180 - 40 - 20 = 120°, and is opposite to side ST.

Therefore, the order from greatest to least is: b. ST, RS, TR.

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Both functions are the solution to the given Laplace solution.

Given Laplace's equation: \(u_{x x}+u_{y y}=0\)

(1) \(u=e^{-x} \cos y-e^{-y} \cos x\)

Differentiate with respect to x as follows:

\(u_x=-e^{-x} \cos y+e^{-y} \sin x\\u_{x x}=e^{-x} \cos y+e^{-y} \cos x\)

Differentiate with respect to y as follows:

\(u_{x x}=e^{-x} \cos y+e^{-y} \cos x\\u_{y y}=-e^{-x} \cos y-e^{-y} \cos x\)

Supplement the values in the given Laplace equation.

\(e^{-x} \cos y+e^{-y} \cos x-e^{-x} \cos y-e^{-y} \cos x=0\)

The given function in this case is the solution to the given Laplace equation.

(2) \(u=\sin x \cosh y+\cos x \sinh y\)

Differentiate with respect to x as follows:

\(u_x=\cos x \cosh y-\sin x \sinh y\\u_{x x}=-\sin x \cosh y-\cos x \sinh y\)

Differentiate with respect to y as follows:

\(u_y=\sin x \sinh y+\cos x \cosh y\\u_{y y}=\sin x \cosh y+\cos x \sinh y\)

Substitute the values to obtain:

\(-\sin x \cosh y-\cos x \sinh y+\sin x \cosh y+\cos x \sinh y=0\)
The given function in this case is the solution to the given Laplace equation.

Therefore, both functions are the solution to the given Laplace solution.

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The correct question is given below:
Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u = e^(−x) cos(y) − e^(−y) cos(x) u = sin(x) cosh(y) + cos(x) sinh(y)

Answer:

\(t=5 +\sqrt{26}, \quad t=5-\sqrt{26}\)

Step-by-step explanation:

Given equation:

\(t^2-10t+6=7\)

When completing the square for a quadratic equation, the first step is to move the constant to the right side of the equation:

\(\implies t^2-10t+6-6=7-6\)

\(\implies t^2-10t=1\)

Add the square of half the coefficient of the term in x to both sides to form a perfect square trinomial on the left side:

\(\implies t^2-10t+\left(\dfrac{-10}{2}\right)^2=1+\left(\dfrac{-10}{2}\right)^2\)

Simplify:

\(\implies t^2-10t+\left(-5\right)^2=1+\left(-5\right)^2\)

\(\implies t^2-10t+25=1+25\)

\(\implies t^2-10t+25=26\)

Factor the perfect square trinomial on the left side:

\(\implies (t-5)^2=26\)

Square root both sides:

\(\implies \sqrt{(t-5)^2}=\sqrt{26}\)

\(\implies t-5=\pm \sqrt{26}\)

Add 5 to both sides:

\(\implies t-5+5=\pm \sqrt{26}+5\)

\(\implies t=5 \pm \sqrt{26}\)

Therefore, the solutions of the given quadratic equation are:

\(t=5 +\sqrt{26}, \quad t=5-\sqrt{26}\)

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Step-by-step explanation:

hello just came here to get likes

Answer:

x> 4

Step-by-step explanation:

the point is at positive 4, and continues in a positive direction infinitely. This means x will will always be equal to or greater than 4.

Answer:

The last one on the right

Step-by-step explanation:

The others are 2 equations in x and y, while the last is one equation in x  only and another in y only

The solution is Option D.

The system of equations 3 = y + 1 and x = -6 are equations is one variable

What is Linear Equation in 2 variables?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

Let the system of equations be

y = 3x - 1   be equation (1)

y = 3x + 1   be equation (2)

Now , the equations are linear equations in 2 variables

b)

Let the system of equations be

-2x + y = 2   be equation (1)

-4x + 2y = 4   be equation (2)

Now , the equations are linear equations in 2 variables

c)

Let the system of equations be

y - 1 = 2 ( x + 4 )   be equation (1)

y + 3 = -5 ( x + 1 )   be equation (2)

Now , the equations are linear equations in 2 variables

d)

Let the system of equations be

3 = y + 1   be equation (1)

y = 2

x = -6   be equation (2)

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution

So , the equation is linear equation is one variable

Hence , the equations y = 2 and x = -6 are equations in one variable

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Answer:

63

Step-by-step explanation:

add the given then subtract from 180

If m∠1 = 98° and m∠2 = 19°, the value of m∠3 will be 63°.

It should be noted that the sum of the angles that are in a triangle is 180°. Based on the information given, we've been given two angles to be 98° and 19°.

Therefore, the value of the third angle will be:

= 180° - (19° + 98°)

= 180° - 1117°

= 63°

Therefore, the third angle is 63°.

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an = 8⁽ⁿ⁻¹⁾⁹ + 10((n-1)(n-2)/2) is the explicit formula for the sequence {an} in terms of n.

To find an explicit formula for the sequence {an} that satisfies the given recurrence relation, we can first examine the pattern and derive a general formula.

Let's expand the recurrence relation for a few terms to observe the pattern:

a2 = 8a1 + 10(1)

a3 = 8a2 + 10(2) = 8(8a1 + 10(1)) + 10(2)

a4 = 8a3 + 10(3) = 8(8(8a1 + 10(1)) + 10(2)) + 10(3)

Expanding further, we can see that each term in the expansion contains a factor of 8 raised to a power:

a4 = 8³a1 + 8²(10) + 8¹(10) + 10(3)

Generalizing this pattern, we can write the formula for the nth term as follows:

an = \(8^(n-1)a1 + 8^(n-2)(10) + 8^(n-3)(10) + ... + 8^2(10) + 8^1(10) + 10(n-1)\)

Substituting the initial condition a1 = 9 into the formula, we have:

an =\(8^(n-1)(9) + 8^(n-2)(10) + 8^(n-3)(10) + ... + 8^2(10) + 8^1(10) + 10(n-1)\)Therefore, the explicit formula for the sequence {an} that satisfies the given recurrence relation is in term :

an = \(8^(n-1)(9) + 10(1 + 2 + 3 + ... + (n-1))\)

The sum of integers from 1 to (n-1) can be expressed as (n-1)(n-2)/2, so we can simplify the formula further:

Therefore, an = 8⁽ⁿ⁻¹⁾⁹ + 10((n-1)(n-2)/2) is the explicit formula for the sequence {an} in terms of n.

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The rate of interest is 3.4% (to the nearest tenth of a percent)

With compound interest, the old amount is added to the interest gotten from the old amount to get the new amount. This process is repeated at regular intervals over a period of time.

The compounded amount formula is given by

\(A=P \left(1+\dfrac{r}{n}\right)^{nt}\)

where

\(A=\text{the amount gotten after t years}\\P=\text{the original investment}\\r=\text{the rate, as a decimal fraction}\\n=\text{the number of times the interest is compounded, per year}\\t=\text{the overall duration of the deposit, in years}\)

From the question,

we want to use the given information to calculate the interest rate Oliver will need in order to end up with $4,600.

First rearrange the formula so that the rate becomes the subject.

\(A=P \left(1+\dfrac{r}{n}\right)^{nt}\\\\\dfrac{A}{P}=\left(1+\dfrac{r}{n}\right)^{nt}\\\\\sqrt[4t]{\dfrac{A}{P}}=1+\dfrac{r}{n}\\\\\sqrt[4t]{\dfrac{A}{P}}-1=\dfrac{r}{n}\\\\n\left(\sqrt[4t]{\dfrac{A}{P}}-1\right)=r\)

substituting the values in the problem into the rearranged formula, we can calculate the decimal value of \(r\)

\(r=n\left(\sqrt[4t]{\dfrac{A}{P}}-1\right)\\\\=4\left(\sqrt[4(18)]{\dfrac{4600}{2500}}-1\right)\\\\\approx0.034\)

The rate of interest, to the nearest tenth of a percent, is

\(0.034\times 100\%=3.4\%\)

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Answer:

50,4 €

Step-by-step explanation:

De la pregunta anterior,

1 minuto = 16 €

3,15 minutos = x

Cruz multiplicar

x × 1 minuto = 16 € × 3,15 minutos

x = € 16 × 3,5 minutos / 1 minuto

x = 50,4 €

Por tanto, por una llamada de 3,15 minutos, Laura tendrá que pagar 50,4 €.

The equation in spherical coordinates will be a constant, as we are describing a spherical shell.

r(φ, θ) = 8 units.

The equation:

x^2 + y^2 + z^2 = R^2

Defines a sphere of radius R.

Then the equation:

x^2 + y^2 + z^2 = 64

Defines a sphere of radius √64 = 8.

Then we will have that the radius is a constant for any given angle, then we can write r, the radius, as a constant function of θ and φ, the equation will be:

r(φ, θ) = 8 units.

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The equation in spherical coordinates is r(φ, θ) = 8 units.

Spherical coordinates of the system denoted as (r, θ, Φ) is the coordinate system mainly used in three-dimensional systems.

The equation of the spherical coordinates is written as;

\(\rm x^2 + y^2 + z^2 = R^2\)

Where R is the sphere of radius.

The given equation of the spherical coordinates is;

\(\rm x^2 + y^2 + z^2 = 64^2\)

Here 8 is the sphere of radius.

Hence, the equation in spherical coordinates is r(φ, θ) = 8 units.

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A fair coin is tossed and if a head appears you receive $10 and if a tail appears you receive $20. The expected value of this game is: The expected value of this game is $15.

To calculate the expected value of a game, we multiply the value of each possible outcome by its respective probability and sum them up.

In this scenario, we have a fair coin toss, so the probability of getting a head is 1/2 and the probability of getting a tail is also 1/2.

If a head appears, you receive $10, and if a tail appears, you receive $20.

Now we can calculate the expected value:

Expected value = (Probability of getting a head * Value for a head) + (Probability of getting a tail * Value for a tail)

= (1/2 * $10) + (1/2 * $20)

= $5 + $10

= $15

Therefore, the expected value of this game is $15. This means that on average, if you were to play this game many times, you can expect to win $15 per game.

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Answer:

D. 15 is correct.

I did the quiz.

Answer: 88 1/2

Step-by-step explanation:

easy

Answer:

89

Step-by-step explanation:

Answer:

So basically if there's 6 numbers on each dice, that means that there's a 5/6 chance of not getting a 3. So multiply that and you get 5/6*5/6. That is equal to 25/36 change.

Answer:

41

Step-by-step explanation:

3(14)-1

42-1

41

Answer:

41

Step-by-step explanation:

Just plug 14 in and don't worry about f(x).

f(x)= 3(14)-1

Answer:

The answer is below!

Step-by-step explanation:

I hope this helps!

Answer:

For the first one,"3x+2y=0". i got 5=0.

For the second one,"x-5y=17". I got 3x

Step-by-step explanation:

the evaluated integral is:

∫19xe²ˣ/(1+2x)² dx = (19/4e⁻²) ln|1+2x| + (19/4e⁻²) (1/(1+2x)) + C

To evaluate the integral ∫19xe²ˣ/(1+2x)² dx, we can use the substitution method.

Let u = 1 + 2x, then du/dx = 2.

Rearranging the equation, we have dx = du/2.

Substituting these into the integral, we get:

∫19xe²ˣ/(1+2x)² dx = ∫19(u-1)/(2e⁻²) du/2

Simplifying, we have:

(19/4e⁻²) ∫(u-1)/(u²) du

Now, we can split the integral into two parts:

(19/4e⁻²) ∫(u/u²) du - (19/4e⁻²) ∫(1/u²) du

Simplifying further, we have:

(19/4e⁻²) ∫(1/u) du - (19/4e⁻²) ∫(1/u²) du

Integrating each term separately, we get:

(19/4e⁻²) ln|u| + (19/4e⁻²) (1/u) + C

Finally, substituting back u = 1 + 2x and simplifying, we have:

(19/4e⁻²) ln|1+2x| + (19/4e⁻²) (1/(1+2x)) + C

Therefore, the evaluated integral is:

∫19xe²ˣ/(1+2x)² dx = (19/4e⁻²) ln|1+2x| + (19/4e⁻²) (1/(1+2x)) + C

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Complete question is below

Evaluate the integral. (Use C for the constant of integration.)

∫19xe²ˣ/(1+2x)² dx

Answer:

Step-by-step explanation:

The unit of a volume: \(cm^3\)

The unit of a density: \(\dfrac{g}{cm^3}\)

The density is \(\dfrac{mass}{volume}\)

Substitute:

\(\dfrac{8.05g}{cm^3}=\dfrac{750g}{V}\)

cross multiply

\(8.05gV=750gcm^3\)

divide both sides by 8.05g

\(V\approx93.17cm^3\)

The formula of a volume of a square pyramid:

\(V=\dfrac{1}{3}a^2H\)

a - length of  square base

H - height of a pyramid

We have:

\(V=93.17cm^3;\ H=13.5cm\)

Substitute:

\(93.17=\dfrac{1}{3}a^2(13.5)\)

multiply both sides by 3

\(279.51=13.5H\)

\(297.51=13.5a^2\)

divide both sides by 13.5

\(a^2\approx20.7\to a=\sqrt{20.7}\approx4.55(cm)\)

Answer:

Step-by-step explanation:

volume of pyramid=1/3×base area×height

let the length of base=x

base area=x²

volume V=1/3×x²×13.5=4.5 x²

mass=volume×density

750=4.5 x²×8.05=36.225 x²

x²=750/36.225

x=√(750/36.225)≈4.55 cm

Answer:

Step-by-step explanation:

Recursive formula is used to represent the terms using the previous term of the sequence.

Using the explicit equation find the first two terms and their difference:

The recursive formula for this sequence is:

The result of the given quotient as required to be determined in the task content is; -12.

As evident in the task content; the given quotient is;

6 ÷ (-1 / 2)

= 6 × (2 / -1)

= (6 × 2) / -1

= 12 / -1

= -12.

Ultimately, the result of the given quotient is; -12.

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Answer:

Q9: -7/4

Q10: -5

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I think it's a sorry if I'm wrong

In multiple regression analysis, the correlation among the independent variables is termed multicollinearity

Multicollinearity in a multivariate regression model refers to the correlations between two or more independent variables. Multicollinearity can lead to skewed or false results when a researcher or analyst attempts to determine how effectively each independent variable can be used to predict or understand the dependent variable in a specific statistical model.

It is the term which is generally used to describe the situation in which two or more explanatory variables in a multiple regression model have strong linear correlations with one another but not with the dependent variable. Many times, the creation of new dependent variables that are reliant on other variables can also result in multicollinearity.

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