(this took me a LONG time to tipe out) Can someone realy nice help me? I am going to give ya 100 pionts and BRAINLEST!! TYSM
part 5 # the liner Regresstion is i beleave to be y=0.176x+0.500 (just check my work)


the table is

|Y | 2002 | 2003 | 2004 | 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 |
|---------------------------------------------------------------------------------------------------------|
|X | 0.70 | 1.04 | 1.15 | 1.38 | 1.86 | 1.70 | 2.55 | 1.29 | 2.22 | 2.56 |

so there are 5 parts (it is a lot but worth your time) LOL.

part 1# List the domain of the linear regression equation in interval notation. Round to the nearest thousandth if needed.


part 2# List the range of the linear regression equation in interval notation. Round to the nearest thousandth if needed


part 3# Explain in 2-3 sentences how you determined your answers.


part 4# Use the linear regression equation to predict how much you expect gas to cost in 2025?

We can give the following two conclusions:

From the information provided:

Since GFH and HFJ are adjacent, they share a common side or vertex. This means that the two figures are not only congruent, but they also share at least one common angle.

Since GFH and HFJ are congruent, they have the same size and shape. This means that corresponding angles and sides are equal in measure. It also means that the two figures can be superimposed on each other exactly.

In conclusion, since they are congruent and adjacent, we can say that they are part of a larger geometric figure.

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To determine the minimum diameter of the rod, we can use the formula for bending stress:

σ = (M * c) / (I * y)

Where:

σ is the bending stress

M is the bending moment

c is the distance from the neutral axis to the outermost fiber

I is the moment of inertia of the cross-section

y is the perpendicular distance from the neutral axis to the point where the stress is being calculated

Given:

M = -1000 lbf.in

σ = 32 kpsi = 32,000 psi

Strength = 25 kpsi

Design factor = 2.5

First, we need to convert the bending moment to pound-force feet (lbf.ft):

M = -1000 lbf.in = -83.33 lbf.ft (1 lbf.in = 0.0833 lbf.ft)

Next, we can rearrange the bending stress formula to solve for the moment of inertia (I):

I = (M * c) / (σ * y)

Since we are looking for the minimum diameter, we want to minimize the moment of inertia. This occurs when the rod is a solid cylinder with its maximum diameter.

The moment of inertia of a solid circular rod is given by the formula:

I = (π * d^4) / 64

Substituting the formulas and given values, we can solve for the minimum diameter (d):

(π * d^4) / 64 = (M * c) / (σ * y)

d^4 = (64 * M * c) / (π * σ * y)

d = ∛((64 * M * c) / (π * σ * y))^0.25

Once we have the minimum diameter (d), we can select a preferred fractional diameter from the table provided and calculate the resulting factor of safety using the formula:

Factor of Safety = (Strength * Design Factor) / σ

Please provide the values of c, y, and the preferred fractional diameter from the table so that I can help you with the calculations.

The minimum diameter of the rod is approximately 1.37 inches.A preferred fractional diameter that corresponds to a factor of safety greater than or equal to 0.78125, ensuring a safe design.

a) To determine the minimum diameter of the rod, we can use the formula for bending stress:

σ = M / (0.25 * π * (d^3))

Rearranging the formula, we have:

d^3 = M / (0.25 * π * σ)

Substituting the given values, we get:

d^3 = 1000 / (0.25 * π * 32)

Solving for d, we find:

d ≈ 1.37 inches

Therefore, the minimum diameter of the rod is approximately 1.37 inches.

b) To select a preferred fractional diameter and calculate the resulting factor of safety, we need to compare the calculated stress with the material strength and design factor.

Given the stress σ = 32 kpsi and a material strength of 25 kpsi, we can calculate the factor of safety:

Factor of Safety = (Material Strength) / (Design Stress)

Factor of Safety = 25 / 32

Factor of Safety ≈ 0.78125

Referring to the provided table, we can choose a preferred fractional diameter that corresponds to a factor of safety greater than or equal to 0.78125, ensuring a safe design.

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Answer:

Common difference = 4

Position of 103 = 25th term

Step-by-step explanation:

a)

According to the given information:

\( a_3 + 20 = a_8\)

\( a+ (3-1)d + 20 = a+ (8-1)d\)

\( \cancel a+ 2d + 20 = \cancel a + 7d\)

\( 2d + 20 = 7d\)

\( 20 = 7d-2d\)

\( 20 = 5d\)

\( d = \frac{20}{5}\)

\( \purple {\bold {d = 4}} \)

Common difference = 4

b)

\( \because a_3 = 15....(given) \)

\( \therefore a + (3-1)d = 15\)

\( \therefore a + 2d = 15\)

\( \therefore a + 2\times 4= 15\)

\( \therefore a + 8= 15\)

\( \therefore a = 15-8\)

\( \red{\bold {\therefore a = 7}} \)

\( \because a_n = a + (n - 1) d\)

\( \therefore 103 = 7 + (n - 1)4 \)

\( \therefore 103 - 7 = (n - 1)4 \)

\( \therefore 96 = (n - 1)4 \)

\( \therefore \frac{96}{4}= n - 1\)

\( \therefore 24= n - 1\)

\( \therefore 24+1= n\)

\(\blue{\bold {\therefore n = 25}} \)

So, the position of 103 in this sequence is 25th term.

The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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Answer:

\(a_n = 2^{(n\, -\, 1)}\)

Step-by-step explanation:

The general form for a geometric sequence is:

\(a_n = a_1 \cdot r^{(n\, -\, 1)}\)

where \(a_n\) is the \(n\)th term in the sequence, \(a_1\) is the 1st term, and \(r\) in the common ratio between any two consecutive terms.

In this sequence:

\(1, 2, 4, ...\)

we can identify the common ratio as:

\(r= \dfrac{2}{1} = \dfrac{4}{2} = 2\)

We are also given that the first term is:

\(a_1 = 1\)

Hence, we can plug these values into the general form for a geometric sequence to get the explicit formula for the given sequence:

\(a_n = 1 \cdot 2^{(n\, -\, 1)}\)

\(\boxed{a_n = 2^{(n\, -\, 1)}}\)

Answer:

18

Step-by-step explanation:

Step 1)

54 ÷ 3 = 18

Answer:

54/3

Step-by-step explanation:

Find the parametric equations of the intersection of the planes x + (y - 6) + z = 0 and - x + (y + 6) - z = 0 are x = 6, y = 2t, and z = -2t.

The equation for a plane is ax + by + cz + d = 0. Two planes will be expressed as follows:

`x + (y - 6) + z = 0 ------------ (1)`

`- x + (y + 6) - z = 0 ----------- (2)`

Here's the strategy:

Let x = t. Then, using the first equation, solve for z in terms of t and y as follows;`

z = - t - y + 6`Now, using the second equation, substitute x = t and z = -t - y + 6;`- t - y + 6 + y + 6 - z = 0``- 2t + 12 = 0``t = 6`So, we have found that the intersection point of the two planes is (6, 0, 0). And the parametric equations of the intersection of the two planes are as follows;`

x = 6 + 0t = 6``y = 0 + 2t = 2t``z = 0 - 2t = -2t`Therefore, the parametric equations of the intersection of the planes x + (y - 6) + z = 0 and - x + (y + 6) - z = 0 are x = 6, y = 2t, and z = -2t.

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Answer:

x = 5/2, -3

or

x = 2.5, -3

or

2 1/2, -3

Step-by-step explanation:

Brainliest Please!!

- Hermionia

Answer:

x=-3, 5/2

Step-by-step explanation:

Set each parentheses equal to zero.

1. 2x-5=0

add 5 to both sides

2x=5

Divide by 2

x=5/2

2. (x+3)=0

subtract 3 from both sides

x=-3

Answer:

27 pages per hour

Step-by-step explanation:

81 pages divide by 3 hours. think of it as a fraction and divided 3 on both bottom and top then it gives you 27pages per hour as a fraction

Answer: 45 minutes for BOTH workouts

Step-by-step explanation:

Let time for plan a be x

Let time for plan b be y

On Wednesday

# of clients for plan a are 5

# clients for plan b are 3

On Thursday

# of clients for plan a are 7

# of clients for plan b are 9

Wednesday eqn --> 5x+3y=6

Thursday eqn --> 7x+9y=12

Multiply Wednesday equation by -3 and use elimination to solve

-15x-9y=-18

7x+9y=12

-8x=-6

x=6/8

Reduce: x=3/4 hour

Substitute x=3/4 into Thursday equation

7(3/4)+9y=12

9y=27/4

y=3/4

Therefore, the length of BOTH the plan a and plan b workouts were 45 minutes

Answer:

B

when you input the first value of y which is -2

-2+2=(4/5)(x+9)

0=(4x+36)/5

multiply both sides by 5

0=4x +36

4x =-36

divide both sides by 4

x=-9

if you like my answer mark as brainliest

Answer:

thought i had it but answer is B......

Answer:

3

Step-by-step explanation:

the opposite of -3 is 3 because they are on opposite sides of the number line. hope this helps! <3

Answer:

d

Step-by-step explanation:

by simplify the equation the answer is 4905

The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.

The given inequality is |y – 3| − 4 ≤ −3.

A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements. “Or” indicates that, as long as either statement is true, the entire compound sentence is true. It is the combination or union of the solution sets for the individual statements.

Now, solve inequality |y – 3| − 4 ≤ −3.

Add 4 on both sides of the inequality.

That is, |y – 3| − 4+4 ≤ −3+4

y-3≤1 OR -1≤y-3

The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.

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1) The first iteration, n, turns out to be (x1, y1) = ( , ).

2) If the second iteration, n, is (x2, y2) = ( , ).

To find the values of (x1, y1) and (x2, y2), we need additional information or the specific steps of the gradient method applied in MATLAB. The gradient method is an optimization algorithm that iteratively updates the variables based on the gradient of the function. Each iteration involves calculating the gradient, multiplying it by the learning rate (λ), and updating the variables by subtracting the result.

3) After s many iterations (and perhaps changing the value of λ to achieve convergence), it is obtained that the minimum is found at the point (xopt, yopt) = ( , ).

To determine the values of (xopt, yopt), the number of iterations (s) and the specific algorithm steps or convergence criteria need to be provided. The gradient method aims to reach the minimum of the function by iteratively updating the variables until convergence is achieved.

4) The value of the minimum, once the convergence is reached, will be determined by evaluating the function at the point (xopt, yopt). The specific value of the minimum is missing and needs to be provided.

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the complete question is:

Matlab The Gradient Method Was Used To Find The Minimum Value Of The Function North F(X,Y)=(X^2+Y^2−12x−10y+71)^2 Iterations Start At The Point (X0,Y0)=(2,2.6) And Λ=0.002 Is Used. (The Number Λ Is Also Known As The Size Or Step Or Learning Rate.) 1)The First Iteration N Turns Out To Be (X1,Y1)=( , ) 2)If The Second Iteration N Is (X2,Y2)=( ,

Matlab

The gradient method was used to find the minimum value of the function north

f(x,y)=(x^2+y^2−12x−10y+71)^2 Iterations start at the point (x0,y0)=(2,2.6) and λ=0.002 is used. (The number λ is also known as the size or step or learning rate.)

1)The first iteration n turns out to be (x1,y1)=( , )

2)If the second iteration n is (x2,y2)=( , )

3)After s of many iterations (and perhaps change the value of λ to achieve convergence), it is obtained that the minimum is found at the point (xopt,yopt)=( , );

4)Being this minimum=

Answer:

2x=10

divide by 2

x=5

1-2x

1-2(5)

1-10

answer is -9

Answer:

-9

Step-by-step explanation:

First solve the equation, 2x=10 to get the value of x

2x = 10

x = 10÷ 2

x= 5

now, put this value of x in the expression 1-2x

1 - 2x

= 1- 2(5)

= 1- 10

= -9

ΔXYZ will also be an equilateral triangle.

What is equilateral triangle?

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean space, an equilateral triangle also is equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others. It's also referred to it as a regular triangle because it is a regular polygon.

As X,Y,Z are the midpoints of sides of equilateral triangle so when we will join the X,Y,Z we will find that distances XY=YZ=XZ are three are equal because this is proved by similarity of triangles which in itself is a detailed and vast topic

Hence XYZ will also be an equilateral triangle

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Answer:

f=23/21

Step-by-step explanation:

Answer:

f=23/21

Step-by-step explanation:

There is 18% of decrease in the price of gasoline

Answer:

0.63 or 18%

Step-by-step explanation:

3.50 - 2.87 = 0.63 or 18%

Answer:3,0

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Because its a line and the only three undefined terms are line,point,plane

The probability of its complementary events is 78%.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

We know, The total probability of events in any sample space is 1, Which is 100%.

Given, The probability of some event is 22%.

Let, A be the event, So P(A) = 22.

Therefore, The complement of this event A is A'.

We know, A + A' = 100%.

22% + A' = 100%.

A' = 78%.

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Answer:

I cannot see what the titles in the chart say, so cannot help.

Step-by-step explanation:

Let’s say the chart says this:

Total        |           Bob          |         George

5 dics               2 dics.                      3 Discs

Unless they give you a total number, and an expression, you cannot solve for x.

Answer: $318/mo

Step-by-step explanation:

First, we get the remainder, which is the difference between $9, 632 and $2,000. That gives us $7, 632.

Then, since we know she will pay in 24 months, we assume she pays the same amount each month and divide $7, 632 by 24 = $318/mo

Answer:

f(1)=-1+6-6= - 1

f(2)=-4+12-6 = - 2

f(3)= - 9+18-6 = 3

f(4)= - 16+24-6 = 4

f(5)= - 25 +30 - 6= -1

Step-by-step explanation:

Alex literally just put what's in between the brackets (1,2....) in the place of x

or you just look at the graph

Hope this helps, have a great day