help me
josh takes 20 mins to weed 6 equal rows of vegetable plants in his garden what is his unit rate per hour for weeding these rows of his garden

Answer:8.5 is x but there is an extra 1

Step-by-step explanation:18x8.5=153+8=162 with an extra one is 162

In these options, 0ption D that is, Multicollinearity, is not an assumption of the regression model.

The regression model is a statistical technique used to model the relationship between a dependent variable and one or more independent variables. There are several assumptions associated with the regression model, which should be satisfied for accurate and reliable results.

Option A, Linearity, assumes that there is a linear relationship between the independent variables and the dependent variable. It implies that the relationship can be represented by a straight line.

Option B, Independence, assumes that the observations or data points used in the regression model are independent of each other. This means that the value of one observation does not depend on or influence the value of another observation.

Option C, Homoscedasticity, assumes that the variance of the errors or residuals in the regression model is constant across all levels of the independent variables. It implies that the spread or dispersion of the residuals is consistent.

Option D, Multicollinearity, is not an assumption of the regression model. Multicollinearity refers to a high correlation between independent variables in the regression model, which can cause issues in estimating the individual effects of the independent variables.

Therefore, the correct answer is D) Multicollinearity, as it is not an assumption of the regression model.

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The taylor polynomials of degree n approximating 1/(2-2x) for x near 0 is P7(x)=(1/2)+(1/2)x+(1/2)x2+(1/2)x3+(1/2)x4+(1/2)x5+(1/2)x6+(1/2)x7

What is taylor polynomials?

An infinite sum of terms stated in terms of the function's derivatives at a single point is referred to as a Taylor series or Taylor expansion of a function. Near this point, the function and the sum of its Taylor series are equivalent for the majority of common functions. If the functional values and derivatives are identified at a single point, the Taylor series is used to calculate the value of the entire function at each point.

P(x)=1/(2-2x)

=(1/2)(1/(1-x))

=(1/2)(1+x+x2+x3+x4+x5+x6+x7+x8+.....)

for n =3 ,P3(x)=(1/2)+(1/2)x+(1/2)x2+(1/2)x3

for n =5 ,P5(x)=(1/2)+(1/2)x+(1/2)x2+(1/2)x3+(1/2)x4+(1/2)x5

for n =7 ,P7(x)=(1/2)+(1/2)x+(1/2)x2+(1/2)x3+(1/2)x4+(1/2)x5+(1/2)x6+(1/2)x7

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Answer:

22 :)

Step-by-step explanation:

I've attached an image to help break down the answer. (credit to cymath.com)

Hope this helps!

The simplified expression is \(21x^2 - 25x - 28\) in the given case.

An expression in mathematics is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a mathematical phrase or idea. Expressions can be simple or complex, and they can contain variables, constants, and functions.

"Expression" generally refers to a combination of numbers, symbols, and/or operations that represents a mathematical, logical, or linguistic relationship or concept. The meaning of an expression depends on the context in which it is used, as well as the specific definitions and rules that apply to the symbols and operations involved. For example, in the expression "2 + 3", the plus sign represents addition and the meaning of the expression is "the sum of 2 and 3", which is equal to 5.

To simplify the expression, first distribute the -3x and (3x + 4) terms:

\(-3x(4 - 5x) + (3x + 4)(2x - 7) = -12x + 15x^2 + (6x^2 - 21x + 8x - 28)\)

Next, combine like terms:

\(-12x + 15x^2 + (6x^2 - 21x + 8x - 28) = 21x^2 - 25x - 28\)

Therefore, the simplified expression is \(21x^2 - 25x - 28.\)

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Answer:

\(\boxed {\boxed {\sf C. \ 4 \ inches}}\)

Step-by-step explanation:

Circumference is the perimeter of a circle. It can be found using the formula:

\(c= \pi d\)

However, we are given the radius.

The formula can be rewritten as:

\(c= \pi 2 r\)

We know the circumference is 25.12 inches.

\(25.12 \ in = \pi 2r\)

Let's round pi to 3.14

\(25.12 \ in = (3.14) 2r\)

We want to solve for the radius, so we must isolate it.

Divide both sides by 3.14 because the inverse of multiplication is division.

\(25.12 \ in / 3.14= (3.14 ) 2r / 3.14\)

\(8 \ in = 2r\)

Divide both sides by 2.

\(8 \ in / 2 = 2r/2\)

\(4 \ in = r\)

The radius of the disc is 4 inches.

The solution set of the given square root problem is: x = -2 ± √108

The expression is given as:

¹/₄(x + 2)² = 27

The multiplication equality property states that if we take the square root of both sides, the equation remains equal to each other. Thus, multiplying both sides by 4 gives:

(x + 2)² = 108

The square root equality property states that if we take the square root of both sides, the equation remains equal to each other. Thus, taking square root of both sides gives:

x + 2 = ±√108

Thus:

x = -2 ± √108

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You have the following function:

In order to determine the intervals, it is necessary to calculate the first derivative of the function, equal it to zero, and identify the zeros of the equation, just as follow:

the zeros of the previous equation are:

Next, it is necessry if the previous values are minima or maxima. Evaluate the second derivative for the previous values of x. If the result is greater than 0, then, it is a minimum. If the result is lower than zero, it is a maximum:

Then, for x=0 there is a maximum, and for x=-√3 and x=√3 there is a minimum.

Hence, until x = -√3 the function decreases. In between x=-√3 and x=0 the function increases. In between x=0 and x=√3 the function decreases and from x=√3 the function increases.

Furthermore, it is necessary to find the inflection points. Equal the second derivative to zero and solve for x:

then for x=1 and x=-1 there are inflection points.

The interval where the function is concave up is:

(-∞ , -1) U (1, ∞)

The interval where the function is concave down is:

(-1,1)

The Kruskal-wallis one-way ANOVA compares the overall difference between two or more independent samples. So, the correct option is option a. kruskal-wallis one-way ANOVA

The answer is option A, the Kruskal-Wallis one-way ANOVA compares the overall difference between two or more independent samples.

The Sign test and Wilcoxon rank test are non-parametric tests used for comparing paired samples, while the Mann-Whitney U test is used for comparing two independent samples.

This test is used to compare the overall difference between two or more independent samples when the assumptions of a regular one-way ANOVA are not met.

The Kruskal-Wallis test is applicable when the data violate the assumptions of normality and/or equal variances required by parametric ANOVA tests.

Instead of comparing means, it compares the ranks of the data values within each group to assess if there are significant differences between the groups.

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Answer:

Q.5

Step-by-step explanation:

(2x)^3+3×(2x)^2×3y+3×2x×(3y)^2+(3y)^3

8x^3+3×4x^2 × 3y + 3×2x×9y^2 + 27y^3

8x^3 + 36x^2 × y + 54xy^2 + 27y^3

Answer:

7 feet

Step-by-step explanation:

All you have to do since he's sitting 3 feet directly behind Abdul and 4 feet directly left of Harold it would be 7 just by adding them up.

Hope this helps.

The maximum value of the objective function z is 19, and it occurs at the point (5, 1).Hence, the optimal solution is (5, 1), and the optimal value of the objective function is 19.

1. Graphically determine the optimal solution, if it exists, and the optimal value of the objective function of the following linear programming problems.
maximize z = x₁ + 2x₂ subject to 2x1 +4x2 ≤6, x₁ + x₂ ≤ 3, x₁20, and x2 ≥ 0.

To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:

Now, To find the optimal solution and the optimal value of the objective function, evaluate the objective function at each corner of the feasible region:(0, 3/4), (0, 0), and (3, 0).

        z = x₁ + 2x₂ = (0) + 2(3/4)

                    = 1.5z = x₁ + 2x₂ = (0) + 2(0) = 0

                        z = x₁ + 2x₂ = (3) + 2(0) = 3

The maximum value of the objective function z is 3, and it occurs at the point (3, 0).

Hence, the optimal solution is (3, 0), and the optimal value of the objective function is 3.2.

maximize subject to z= X₁ + X₂ x₁-x2 ≤ 3, 2.x₁ -2.x₂ ≥-5, x₁ ≥0, and x₂ ≥ 0.

To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:

To find the optimal solution and the optimal value of the objective function,

        evaluate the objective function at each corner of the feasible region:

                                (0, 0), (3, 0), and (2, 5).

                          z = x₁ + x₂ = (0) + 0 = 0

                          z = x₁ + x₂ = (3) + 0 = 3

                           z = x₁ + x₂ = (2) + 5 = 7

The maximum value of the objective function z is 7, and it occurs at the point (2, 5).

Hence, the optimal solution is (2, 5), and the optimal value of the objective function is 7.3.

maximize z = 3x₁ +4x₂ subject to x-2x2 ≤2, x₁20, and X2 ≥0.

To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:

To find the optimal solution and the optimal value of the objective function, evaluate the objective function at each corner of the feasible region:(0, 1), (2, 0), and (5, 1).

                         z = 3x₁ + 4x₂ = 3(0) + 4(1) = 4

                      z = 3x₁ + 4x₂ = 3(2) + 4(0) = 6

                      z = 3x₁ + 4x₂ = 3(5) + 4(1) = 19

The maximum value of the objective function z is 19, and it occurs at the point (5, 1).Hence, the optimal solution is (5, 1), and the optimal value of the objective function is 19.

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There are different types of interest rates that borrowers should be aware of: 1. Fixed Interest Rates, 2. Variable/Adjustable Interest Rates, 3. Prime Interest Rates, 4. Annual Percentage Rate (APR)

Interest rates refer to the percentage charged by lenders on borrowed funds, which borrowers must pay in addition to the principal amount. They represent the cost of borrowing money and play a significant role in determining the affordability and overall cost of loans. Higher interest rates imply higher borrowing costs for borrowers, while lower interest rates can make borrowing more affordable.

Interest rates can vary depending on several factors, including the type of loan, the borrower's creditworthiness, prevailing market conditions, and central bank policies. There are different types of interest rates that borrowers should be aware of:

1. Fixed Interest Rates: These rates remain constant throughout the loan term, providing borrowers with predictable monthly payments. Fixed rates are commonly used for mortgages and long-term loans, offering stability and protection against potential rate increases.

2. Variable/Adjustable Interest Rates: Also known as adjustable rates, these rates can change over time based on an underlying benchmark rate, such as the prime rate or the London Interbank Offered Rate (LIBOR). Variable rates are often lower initially but can fluctuate, leading to changes in monthly payments.

3. Prime Interest Rates: The prime rate is the interest rate offered to a bank's most creditworthy customers. It serves as a benchmark for many other interest rates, such as variable rate loans and credit cards. Borrowers with strong credit histories may qualify for loans with rates below the prime rate.

4. Annual Percentage Rate (APR): The APR represents the true cost of borrowing by factoring in both the interest rate and associated fees. It provides a comprehensive measure of the total cost of a loan and helps borrowers compare different loan offers.

Understanding the different types of interest rates and their implications is crucial for borrowers when considering loans. It is essential to evaluate the overall cost of borrowing, including interest rates, fees, and repayment terms, to make informed financial decisions. Borrowers should shop around, compare offers from different lenders, and consider their financial situation and long-term affordability before committing to a loan.

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Answer:

The second and third choices are true

Step-by-step explanation:

In mathematics, a translation is a type of transformation where the object is moved horizontally and/or vertically, but it is not resized, reshaped, or rotated. To create R'T', the segment RT can be moved up, down, left, right, or diagonally. However, the length will be the same.

The first choice is incorrect because R'T' is the same length as RT, so it is definitely not shorter. That being said, the second statement must be correct because the length is the same.

The third choice is also correct. R'T' will be in a different position because it will have been translated, but the orientation will be the same (orientation typically refers to rotation, and the line is not rotated in a translation).

The fourth choice is incorrect because R'T' is not a rotation (so it is not turned). The fifth statement is incorrect because the only ways to switch the positions of R and T would be rotation or reflection (two other types of transformations). Finally, the last choice is incorrect because the line is moved, so there is a position change involved.

Therefore, the second and third choices are true

Answer:

$3.20 for the small and $4.70 for the large packages.

Step-by-step explanation:

multiply 3.20 by 1 since that is the price of mailing a small package and you want to mail 1.

multiply 4.70 by 4 since that is the price of a large one and you want to mail 4.

3.20 x 1 =3.20

4.70 x 4=18.80

Answer:

150 in^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Givens

L = 9

W = 4

H = 3

Formula

SA = 2*L*w + 2*L*H + 2 * H * W

Solution

SA = 2 * 9*4 + 2*9*3 + 2*3 * 4

SA = 72 + 54 + 24

SA = 150 in^2

If two markers are selected at random, one after another, without replacement, the probability that both will be blue = 0.0316

For given question,

there are 20 colored markers in a package – 8 black, 4 blue, 4 red, 4 green.

if two markers are selected at random, one after another, without replacement, we need to find the probability that both will be blue.

The probability that the selecting one blue marker is:

4/20

After selecting one blue marker, there are 19 markers in a package -  8 black, 3 blue, 4 red, 4 green.

The probability of selecting second blue marker would be,

3/19

So, the probability that both will be blue:

4/20 × 3/19

= 0.2 × 0.16

= 0.0316

Therefore, if two markers are selected at random, one after another, without replacement, the probability that both will be blue = 0.0316

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The value for r for the given points and the slope is equal to 15.

In geometry, a coordinate system is a method for determining a point's or other geometric element's precise location using one or more integers, or coordinates.

In order to make it simple to find the points, a cartesian plane divides the plane space into two dimensions. The horizontal x-axis and the vertical y-axis are the two planes of the coordinate plane. The plane is divided into four quadrants by these coordinate planes. Additionally, any point in the coordinate plane is denoted by the coordinates (x, y), where x represents the point's location in relation to the x-axis and y represents its position in relation to the y-axis.

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are indicated by y and x, respectively.

A line's steepness and orientation are measured by the line's slope. It is possible to determine whether lines in a coordinate plane are parallel, perpendicular, or not by calculating their inclination.

In this question,

Given points are:

x=5, y=8

x=r, y=-2

The slope of the line with these two points will be given by the formula,

m=(y-y)/(x-x)

m=(-2-8)/(r-5)

We know that m=-1,

-1=(-10)/(r-5)

r-5=10

r=15

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-5 ≤ 1 - 2x < 9

Let's first break this down into two different inequalities.

1 - 2x ≥ -5

Subtract 1 from both sides.

-2x ≥ -6

Divide both sides by -2

x ≤ 3

Now, let's do the second inequality.

1 - 2x < 9

Subtract 1 from both sides.

-2x < 8

Divide both sides by -2

x > 4

let's combine each inequality to get our reduced compound inequality.

-4 < x ≤ 3

To plot this, put a hollow point at -4. A hollow point looks something like the letter o.

And put the second point at 3. This time, fill in the point so it looks whole.

Now, connect your points.

It should look something like this:

Answer:

It’s a way to show how things are related. It may be a mathematical pattern.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The diagonal of a square is given as, √2 × side. Rearranging this formula to calculate the side of the square, we get, side = diagonal/√2 = (√2 × diagonal)/2 . Thus, the perimeter of the square can be calculated using the formula, P = 2√2 × diagonal.

Diagonal = 5 * 2 = 10

P = 2√2 * 10

P = 20√2

Answer:

The answer 4/7

Step-by-step explanation:

A K A H

4 letters in the word PRAKASH are made of 3 straight lines. That's why the fraction is 4/7.

In the word, 4/7 fraction of the letters is made up of 3 straight lines.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

In the word PRAKASH, there are 7 letters, In which 2 A's, 1 K, and 1 H is made up of 3 straight lines so (2 + 1 + 1) = 4.

∴ The fraction of the alphabet made up of three straight lines is,

= 4/7

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Shortest distance between start and end point is 55.9 miles

According to given statement,

Terry had to travel south 50 miles and then west 25 miles.

We are taking X as a start point and Z is end point.

In triangle XYZ, we are taking angle Y to be of 90 degrees, which qualifies the Triangle XYZ to qualify Pythagorean theorem [The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right angle triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.]

XY = 50 miles

YZ= 25 miles

XZ^2 = XY^2 + YZ ^2

XZ^2 = (50) ^2 + (25) ^2 = 3125

XZ = 55.9

Shortest distance between start and end point is 55.9 miles

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The triangle is solved using the law of sines and c = 13.25

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of sides of the triangle are

The measure of ∠BAC = 49°

The measure of ∠ACB = 90°

And , the measure of side a = 10 units

From the law of sines ,

a / sin A = b / sin B = c / sin C

10 / sin 49° = c / sin 90°

The triangle is solved using the law of sines , where the measure of sine of angle opposite to the sides are in the same ratio.

The trigonometric value of sin 90° = 1

c = 10 / 0.75470958022

c = 13.25 units

Therefore , the measure of c = 13.25 units

Hence , the triangle is solved and c = 13.25 units

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The complete question is attached below :

If A = 49° and a = 10, find c.​

Answer: The domain restricted to the function is 0 <= x <= 12

What are linear equations?

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

How to determine the domain of the graph?

A system of linear equations is a collection of at least two linear equations.

In this case, the given parameters are:

Amount in the account = $350

Amount deducted each week = $35

Let the number of weeks be x, and the total amount be y

So, we have:

y = 350 - 35x

When the amount is 0, we have:

350 - 35x = 0

This gives

35x = 350

Divide by 35

x = 12

Hence, the domain restricted to the function is 0 <= x <= 12

The 9th term of this geometric sequence 10, 40, 250, 1250, ....​ include the following: 655,360.

In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical equation (formula):

aₙ = a₁rⁿ⁻¹

Where:

Next, we would determine the common ratio as follows;

Common ratio, r = a₂/a₁

Common ratio, r = 40/10

Common ratio, r = 4

For the 9th term, we have:

a₉ = 10(4)⁹⁻¹

a₉ = 655,360.

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Answer:

176.58 m/s

Step-by-step explanation:

assume that the acceleration due to gravity, g = 9.81 m/s²

I also assume we neglect air resistance (hence we assume no terminal velocity)

recall that one of the equations of motions can be expressed as

v = u + at, where

u = initial velocity = 0 (because it says you started from rest)

v = final velocity (we are asked to find this)

a = acceleration due to gravity = 9.81 m/s²

t = time = given as 18s

simply substitute the above into the equation.

v = 0 + (9.81)(18)

v = 176.58 m/s

Graph for f(x)=2(x-2)²+3:

Graph for f(x)=-2(x-2)²-3:

Graph for f(x)=2(x+2)²-3:

Graph for f(x)=2(x-2)²-3:

The correct answer is the last choice.