Choose the equation for the line that passes through (6,5) and is parallel to the line x + 3y = 9.
PLEASE HELP ME!!!

Answer:

3rd one

Step-by-step explanation:

y moves same amount for each x

The Kruskal-Wallis test is a non-parametric test used to compare three or more independent groups to determine if there is a significant difference between the medians of the groups. The test statistic used in this test is denoted by the letter "H," which is calculated based on the ranks of the data.

True. The test statistic calculated in the Kruskal-Wallis test is denoted by the symbol H, not to be confused with the Shapiro-Wilk test statistic denoted by W. The Kruskal-Wallis test is a non-parametric test used to compare the median ranks of three or more independent groups. The test statistic H is calculated by comparing the between-group sum of squares to the total sum of squares. H follows a chi-squared distribution with degrees of freedom equal to the number of groups minus one. The p-value obtained from the chi-squared distribution is used to determine whether to reject or fail to reject the null hypothesis that there is no significant difference between the groups.

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Answer:

Varied answer. Either 4.0225 km or 4.025 km

Step-by-step explanation:

Process 1: round 1.609 to 1.61, then multiply 1.61 by 2.5. This will give you 4.025 km. You might even go a step further and round it to 4.03 to put it in simplest form

Process 2: Leave 1.609 as is, multiply it by 2.5, giving you 4.0225 as an answer.

It all depends on how your teacher wants you to round to solve the equation.

The surface area of the rectangular prism figure is S = 838 cm²

Given data ,

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

So, the value of S is given by

The heights of the prism is represented as 7cm.

S = ( 11 x 20 ) + ( 7 x 20 ) + ( 4 x 20 ) + 2( 5 x 7 ) + 2( 6 x 4 ) + ( 6 x 20 ) + ( 5 x 20 ) + ( 3 x 20 )

On simplifying the equation , we get

S = 220 + 140 + 80 + 70 + 48 + 120 + 100 + 60

S = 838 cm²

Therefore , the value of S is 838 cm²

Hence , the surface area is S = 838 cm²

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Answer:

Length of new rectangle = (x + 7) inches

Width of new rectangle = (x + 4) inches

Step-by-step explanation:

A rectangle is a quadrilateral that has opposite sides to be parallel and equal. While a square has all its sides to be equal.

Given that: the square has unknown side length x inches.

Increasing one of its length by 4 inches = (x + 4) inches

Increasing the other by 7 inches = (x + 7) inches.

The new lengths results to a rectangle with length (x + 7) inches, and a width of (x + 4) inches.

the label diagram to represent the new rectangle is shown in the diagram attached to this answer.

To find the parametric equation of a line passing through a given point and perpendicular to a given plane, we need to determine the direction vector of the line.

In this case, the plane is defined by the equation x=y. We can rewrite this equation as x-y=0. The coefficients of x, y, and z in this equation give us the normal vector of the plane, which is <1, -1, 0>.

Since the line is perpendicular to the plane, its direction vector must be parallel to the normal vector of the plane. Therefore, the direction vector of the line is <1, -1, 0>.

Now, using the given point A(1, 3, 0) and the direction vector <1, -1, 0>, we can write the parametric equation of the line as:

x = 1 + t

y = 3 - t

z = 0

where t is a parameter that varies along the line.

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To find out how many different ways you can order the eight acts in the school’s talent show program, you can use the numbers for permutations.

The formula for permutations is:P(n, r) = n! / (n - r)!Where n is the total number of items and r is the number of items being selected and ordered.The total number of acts is 8, and they are all being ordered.

So, n = 8 and r = 8. Thus,P(8, 8) = 8! / (8 - 8)! = 8! / 0! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320Therefore, there are 40,320 different ways you can order the eight acts in the school’s talent show program.

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Answer:

-2.5

Step-by-step explanation:

ok so i got it by multiplying.

The correct option c. 5/7. The value of cos L is found to be 5 /7.

For the stated right angles triangle:

Cos L = base / hypotenuses

Cos L = 10 / 14

Cos L = 5/7

Thus, the value of cos L is found to be 5/7.

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A=9, B=5 and D=7 are the correct options.

In the *Geometry*, a *triangle* is a closed 2-dimensional figure with 3 angles, 3 sides and 3 vertices. Triangles are considered as a *polygon* with the least number of sides.

a,b and c are the sides of a triangle if it satisfies:

a<b+c  , b<a+c and c<b+a

Here, a=4 and b=7

We have to find c

i.e. all those c which satisfies:

4<7+c , 7<4+c and c<4+7=11

AAAAAA. 9 it is true

B.5   it is true

C.17   This is clearly false, since it doesn't satisfies inequality third.

D.7   it is true

EE. 3  it is not true since it doesn't satisfies second inequality.

F.11 This is clearly false, since it doesn't satisfies inequality third

Hence, The correct answer of the given question is A,B and D.

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2u+14

hope it helps...!!!

Answer:

1350

Step-by-step explanation:

A regular dodecagon has 12 congruent sides.

Find the sum of the interior angles:

180∘⋅ (12−2)= 180∘  ⋅10

= 1800 /12 = 150∘

Divide the sum of the interior angles by the number of interior angles

Multiply by 9:

150 ∘ ⋅9= 1350

The sum of 9 angles of a regular dodecagon is 1350

The sum of 9 interior angles of the dodecagon is A = 1350°

The sum of the interior angles of a polygon is given by the formula

Sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

where n is the number of sides

θ = angle in degrees

Given data ,

Let the polygon be represented as P

Now , P = dodecagon

The number of sides for P = 12 sides

And , sum of interior angles = (n - 2) x 180° , where n is the number of sides

The sum of interior angles = (12 - 2) x 180°

The sum of interior angles = 10 x 180°

The sum of interior angles = 1800°

To find the sum of 9 of the interior angles, we can divide the total by 12 (the number of angles in the dodecagon) and then multiply by 9:

The sum of 9 interior angles = (9/12) x 1800°

The sum of 9 interior angles = 1350°

Hence , the sum of 9 of the interior angles of a regular dodecagon is 1350°

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Answer:

11.1 kilometere

Step-by-step explanation:

hope this help

Answer:

( 6 + s ) ÷ 4

Step-by-step explanation:

MUST KNOW WHAT S IS TO SOLVE EQUATION

Answer:  Side BC would be 205.7ft

Step-by-step explanation:

Answer:

in triangle BCD

relationship between base and hypotenuse is given by cos angle

cos 71=b/h

cos71=BD/BC

cos71=67/x

x=67/cos71=205.8ft.

the length of BC to the nearest tenth of a foot is 206ft.

Answer:

he would have a 50% chance of getting one of the 10 prizes

The linear inequalities are a ≤ 2j+3 , j≥14 ,a≤35 , Therefore Option C is the correct answer.

Inequality can be defined as a mathematical statement where the algebraic expression are equated by an inequality Operator , < , > ,<> etc.

It is given in the question that

Anna is no more than 3 years older than 2 times jamie’s age.

Let Anna's age be a and Jamie's age is j

then

a ≤ 2j+3

jamie is at least 14 and anna is at most 35

j≥14

a≤35

The linear inequalities are a ≤ 2j+3 , j≥14 ,a≤35

Therefore Option C is the correct answer.

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Answer:

b

Step-by-step explanation:

The slope of the curve at point P is -x₀^(-2), and the equation of the tangent line at point P is y - y₁ = -x₀^(-2)(x - x₁).

To find the slope of the curve and the equation of the tangent line at a given point P on the curve y = 1/x, we can use the concept of derivative. The derivative of the function represents the slope of the curve at any point. By evaluating the derivative at point P, we can determine the slope. With the slope in hand, we can then use the point-slope form of a line to write the equation of the tangent line at point P.

The function y = 1/x can be written as f(x) = x^(-1). To find the slope at a given point P, we differentiate the function with respect to x using the power rule for differentiation. The derivative of f(x) = x^(-1) is f'(x) = -x^(-2).

At point P, we substitute the x-coordinate of P into f'(x) to find the slope. Let's say the x-coordinate of point P is x₀. Thus, the slope of the curve at point P is f'(x₀) = -x₀^(-2).

To find the equation of the tangent line at point P, we use the point-slope form of a line: y - y₁ = m(x - x₁), where (x₁, y₁) is the coordinates of point P and m is the slope. Substituting the values, the equation of the tangent line is y - y₁ = -x₀^(-2)(x - x₁).

In summary, the slope of the curve at point P is -x₀^(-2), and the equation of the tangent line at point P is y - y₁ = -x₀^(-2)(x - x₁).

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The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

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Answer:

8

Step-by-step explanation:

2+(3+3)

Answer: $8.00

Step-by-step explanation: She bought one pound of apples, so that would be $2, and she bought 2 pounds of oranges, and the oranges are $3.00 per pound, so that would be $6.

Null hypothesis: Proportion of residents favoring annexation <= 72%. Alternative hypothesis: Proportion of residents favoring annexation > 72%

The null hypothesis is that the proportion of residents who favor annexation is equal to or less than 72%. The alternative hypothesis is that the proportion of residents who favor annexation is greater than 72%.

To determine if there is sufficient evidence to support the mayor's claim, a hypothesis test should be performed. A common approach is to use a one-sample proportion test. This test compares the proportion of residents who favor annexation in a sample to the hypothesized proportion of 0.72.

Assuming a significance level of 0.05, if the p-value is less than 0.05, then there is sufficient evidence to reject the null hypothesis and conclude that the proportion of residents who favor annexation is greater than 72%.

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In quantitative research, data collection from the same respondents at 2 or more points (waves) in time is referring to "longitudinal."

A method for gathering and interpreting numerical data is known as quantitative research. It can be used to discover patterns and averages, to make predictions, to verify causal linkages, and to generalize results to larger groups.

Some features regarding quantitative research are-

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Answer:

D

Step-by-step explanation:

Multiply the numerators together to get the overall numerator and multiply the denominators together to get the overall denominator. I hope this helps!

The number of polynomials of degree n with rational coefficients is denumerable.

To prove this, let's consider the set of polynomials with degree n and rational coefficients. A polynomial of degree n can be represented as P(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0, where a_i are rational coefficients.

For each coefficient a_i, we can associate it with a pair of integers (p, q), where p represents the numerator and q represents the denominator (assuming a_i is in reduced form). Since integers are denumerable and pairs of integers are also denumerable, the set of all possible pairs (p, q) is denumerable.

Now, let's consider all possible combinations of these pairs for each coefficient a_i. Since there are countably infinitely many coefficients (n + 1 coefficients for degree n), we can perform a countable Cartesian product of the set of pairs (p, q) for each coefficient. The countable Cartesian product of denumerable sets is also denumerable.

Hence, the set of all polynomials of degree n with rational coefficients can be represented as a countable union of denumerable sets, which makes it denumerable.

Now, let's deduce that the set of algebraic numbers is denumerable. An algebraic number is a root of a polynomial with rational coefficients. Each polynomial has a finite number of roots, and we have just shown that the set of polynomials with rational coefficients is denumerable. Therefore, the set of algebraic numbers, being a subset of the roots of these polynomials, is also denumerable.

In conclusion, the number of polynomials of degree n with rational coefficients is denumerable, and as a consequence, the set of algebraic numbers is also denumerable.

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The rule of the distance between two points is

Since the given points are

Then, let

Substitute them in the rule above

Remember i^2 = -1, then

Make the negative number represented by i

The distance between z1 and z2 is

Answer:

please what is the correct question

Answer: its the last one

Step-by-step explanation: