Triangle MNP with vertices M(-7,6) N(-1,) and P(-6,0) 270 degrees clockwise

Answer:

Step-by-step explanation:

Answer:

Reflexive

Step-by-step explanation:

When a=a, it is called the reflexive property

a=b then b=a is the symmetric property

a=b b=c then a=c is the transitive property

You need to re copy and paste it, I can’t see the full possible answers/question.

Based on the description provided, the section of the chart that represents the point where a bill is first debated in subcommittees is: C and D

In the given chart, the parallel lines represent the progression of a bill through various stages in the legislative process. The boxes on the top line represent one set of actions or steps, while the boxes on the bottom line represent another set of actions or steps.

Moving from left to right on the chart, the boxes A and B are paired, representing a particular stage in the process. Similarly, the boxes C and D are paired, indicating another stage in the process.

In the context of the question, the stage where a bill is first debated in subcommittees is represented by the boxes C and D.

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The remaining zeros will be = -4 and 3 - i

According to the information given in the question,

The function f(x) has coefficients with real numbers.

The degree is given in the question = 3

∴ This means that there are 3 roots ( zeros )

Hence, The number of roots = The degree that is given in the question.

Zeros gave in the question = 4, 3 + i

This question will be solved using the Complex Conjugate Root Theorem,

According to this theorem, if there are complex roots with real coefficients then the root of its polynomial, will also be its complex conjugate.

So the resultant conjugates will be,

⇒ 4 = -4

⇒ 3 + i = 3 - i

Therefore, The remaining zeros will be = -4 and 3 - i

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Given a polynomial f(x) with real coefficients and the following information, find the remaining zeros of f(x). Degree 3 Zeros: 4, 3 + i

Answer:

\(\bar x =2.53\) -- Mean

\(Median= 2\)

\(Mode = 2\)

\(Range = 8\)

\(Q_1 = 1\)

\(Q_3 = 3\)

\(IQR = 2\)

Step-by-step explanation:

Given

n = 30

Data: 2 3 1 2 6 4 2 1 5 3 2 3 1 2 2 1 3 1 2 2 4 2 1 2 9 3 2 1 1 3

Solving (a): The mean

This is calculated as:

\(\bar x =\frac{\sum x}{n}\)

\(\bar x =\frac{2 +3 +1 +2 +6 +4 +2 +1 +5 +3 +2 +3+ 1+ 2 +2 +1 +3 +1 +2 +2 +4 +2 +1 +2 +9 +3 +2 +1 +1 +3}{30}\)

\(\bar x =\frac{76}{30}\)

\(\bar x =2.53\)

Solving (b): The median

First arrange the given data

Arranged: 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 5 6 9

\(Median =\frac{1}{2}(n+1)\)

\(Median =\frac{1}{2}(30+1)\)

\(Median =\frac{1}{2}(31)\)

\(Median = 15.5th\)

This implies that the median is the average of the 15th and 16th item

\(Median = \frac{2+2}{2}\)

\(Median = \frac{4}{2}\)

\(Median= 2\)

Solving (c): The mode

From the given data; 2 has the highest frequency of 11.

So,

\(Mode = 2\)

Solving (d): The Range

\(Range = Highest\ Data - Lowest\ Data\)

The highest is 9 and the lowest is 1,

So:

\(Range = 9 - 1\)

\(Range = 8\)

Solving (e): Lower (Q1) and Upper (Q3) quartile.

Q1 is calculated as:

\(Q_1 = \frac{1}{4}(n+1)th\)

\(Q_1 = \frac{1}{4}(30+1)th\)

\(Q_1 = \frac{1}{4}(31)th\)

\(Q_1 = 7.75th\)

\(Q_1 = 8th\ item\)

\(Q_1 = 1\) -- from the arranged data

Q3 is calculated as:

\(Q_3 = \frac{3}{4}(n+1)th\)

\(Q_3 = \frac{3}{4}(30+1)th\)

\(Q_3 = \frac{3}{4}(31)th\)

\(Q_3 = 23.25th\)

\(Q_3 = 23rd\ item\)

\(Q_3 = 3\) -- from the arranged data

Solving (f): The interquartile range (IQR)

\(IQR = Q_3 - Q_1\)

\(IQR = 3-1\)

\(IQR = 2\)

Hypotheses: H0: μ1 = μ2 and H1: μ1 ≠ μ2.This hypothesis test is a two-tailed test.

Calculate the pooled standard deviation of the two samples.

Let x1 and x2 be the sample means of the National League and American League, respectively. Let s1 and s2 be the sample standard deviations of the National League and American League, respectively. Let n1 and n2 be the sample sizes of the National League and American League, respectively.

Pooled standard deviation = √[( (n1 - 1)s1^2 + (n2 - 1)s2^2 ) / (n1 + n2 - 2)]

s1 = 6.9282

s2 = 6.3246

n1 = 2

n2 = 2

Pooled standard deviation = √[( (2 - 1)6.9282^2 + (2 - 1)6.3246^2 ) / (2 + 2 - 2)]

Pooled standard deviation = 6.6759

Calculate the degrees of freedom (df).

Degrees of freedom (df) = n1 + n2 - 2

df = 2 + 2 - 2

df = 2

Calculate the t-statistic.

Let μ1 and μ2 be the population means of the National League and American League, respectively.

t-statistic = (x1 - x2 - (μ1 - μ2)) / √(s^2 / n1 + s^2 / n2)

x1 = 18

x2 = 19

μ1 = μ2

s2 = 6.6759

n1 = 2

n2 = 2

t-statistic = (18 - 19 - (μ1 - μ2)) / √(6.6759^2 / 2 + 6.6759^2 / 2)

t-statistic = (-1) / (4.4518)

t-statistic = -0.2244

At a significance level of 0.10,

The critical value for a two.

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Answer:

20

Step-by-step explanation:

side BC = side AB

so their base angles that is ∠A = ∠C = (3x+20)°

now, total measure of the angles of a triangle is 180° & ∠B = x°

Now,

m∠A + m∠B + m∠C = 180

⇒ 3x + 20 + x + 3x + 20 = 180

⇒ 7x + 40 = 180

⇒ 7x = 140

⇒x = 20

Answer:

i dont know a but b is 15

Step-by-step explanation:

Answer:

Question a: (0,1)

Question b: k=7/2

Step-by-step explanation:

Answer:

C. 11

Step-by-step explanation:

36÷3.25= 11.07

Round down, he can cut 11 strings.

The algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2).  Option B.

To translate a figure 3 units to the left and 2 units up, we need to adjust the coordinates of the figure accordingly. The algebraic rule that represents this translation can be determined by examining the changes in the x and y coordinates.

When we move a figure to the left, we subtract a certain value from the x coordinates. In this case, we want to move the figure 3 units to the left, so we subtract 3 from the x coordinates.

Similarly, when we move a figure up, we add a certain value to the y coordinates. In this case, we want to move the figure 2 units up, so we add 2 to the y coordinates.

Taking these changes into account, we can conclude that the algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). The x coordinates are shifted by subtracting 3, and the y coordinates are shifted by adding 2. SO Option B is correct.

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Answer:

f(3) = 3 + 1 = 4

Step-by-step explanation:

Since 3 > 0, we need to focus on the part of the function where x > 0. So:

f(3) = 3 + 1 = 4.

Answer:

240.52 m square is your answer

Answer:

B

Step-by-step explanation:

area of square=20×21=420 m²

diagonal=√(20²+21²)=√(400+441)=√841=29

radius=29/2

area of circle=π×(29/2)²=841/4  π≈660.52 m²

area of shaded region=660.52-420=240.52 m²

Answer:

\(7 \times 1 > \frac{5}{9} simplify \\ \)

if you don't its still right though

Step-by-step explanation:

only if you don't simplyfy if you do then just subtract and you will get a another answer which both are right

Answer:

y=1/5x+2

Step-by-step explanation:

Slope intercept form is y=mx+b

m is the slope, and we're given the slope \(\frac{1}{5}\), so plug that in:

Then we're given a point (10,4), in the format (x,y)

So 10 = x and 4 = y. Plug that in:

Solve for b:

Now we know that b=2, we can write slope intercept form:

The equation of the normal line to the curve x^2y^2 = 4 at the point (-1,-2) is y = x - 1.

To find the tangent line and normal line to the curve x^2y^2 = 4 at the point (-1,-2), we need to determine the derivative of the curve equation with respect to x and evaluate it at the given point.

First, let's differentiate the equation x^2y^2 = 4 implicitly with respect to x using the chain rule:

2x * (y^2) + 2y * (2xy * dy/dx) = 0

Simplifying the equation, we have:

2xy^2 + 4xy(dy/dx) = 0

Now, let's find the value of dy/dx at the point (-1,-2). Substitute x = -1 and y = -2 into the equation:

2*(-1)(-2)^2 + 4(-1)*(-2)(dy/dx) = 0

Simplifying further:

8 + 8(dy/dx) = 0

8(dy/dx) = -8

dy/dx = -1

We have found the derivative dy/dx at the point (-1,-2), which is -1. This represents the slope of the tangent line to the curve at that point.

Using the point-slope form of a line, we can write the equation of the tangent line as:

y - y₁ = m(x - x₁)

Substituting the values of (-1,-2) and dy/dx = -1 into the equation, we have:

y - (-2) = -1(x - (-1))

y + 2 = -1(x + 1)

y + 2 = -x - 1

y = -x - 3

Therefore, the equation of the tangent line to the curve x^2y^2 = 4 at the point (-1,-2) is y = -x - 3.

To find the normal line, we know that the slope of the normal line is the negative reciprocal of the slope of the tangent line. Therefore, the slope of the normal line is 1.

Using the point-slope form of a line again, we can write the equation of the normal line as:

y - y₁ = m'(x - x₁)

Substituting the values of (-1,-2) and m' = 1 into the equation, we have:

y - (-2) = 1(x - (-1))

y + 2 = x + 1

y = x - 1

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Answer: C

Step-by-step explanation: You're Welcome

Answer:

c=64

Step-by-step explanation:

A perfect square is a number made by squaring another number, such as 4 x 4 or 5 x 5.

Think about how you would normally factor a trinomial. When doing so, you need two numbers that multiply together to give you the third term (c in this case) and add together to give you the middle term (16 in this problem).

Ask yourself, what numbers can I add to get 16 and multiply to get a perfect square? The number you are looking for here is 8.

So, the perfect square of this trinomial would be x^2+16x+64 because 8 x 8 is 64 and 8 + 8 is 16.

The factored version of it would be

(x+8)(x+8)

Answer:

It's 64=c, that makes the polynomial a perfect square.

Step-by-step explanation:

The other users explain this pretty well. Also, I just did this on ap-ex. 8)

The expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

The standard deviation is a measurement of how widely apart a set of numbers or statistics are from their mean.

The expected value for the amount of money made selling all of the candy in one bag can be found by;

Expected value = mean number of candy bars per bag x price per candy bar

Expected value = 12 x $1.25 = $15

Formula for the standard deviation of a product of random variables:

\(SD (XY) = \sqrt{((SD(X)^2)(E(Y^2)) + (SD(Y)^2)(E(X^2)) + 2(Cov(X,Y))(E(X))(E(Y)))}\)

where X and Y are random variables, SD is the standard deviation, and Cov is the covariance.

X is the number of candy bars in a bag, which has a mean of 12 and a standard deviation of 2. Y is the price per candy bar, which is a constant $1.25. So we have:

E(Y²) = $1.25² = $1.5625

E(X²) = (SD(X)²) + (E(X)²) = 2² + 12² = 148

Cov (X,Y) = 0 (because X and Y are independent)

Using these values, we can calculate the standard deviation for the amount of money made selling all of the candy in one bag:

\(SD = sqrt((2^{2} )(148) + (0)(12)(1.25)^{2} + 2(0)(2)(12)(1.25))\)

SD = √(592)

SD ≈ $24.33

Therefore, the expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

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Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

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Let x be the cost of the small bag.

The large bag costs x + 30 more than the small bag.

So the cost of the large bag is x + (x + 30) = 2x + 30

The two-piece set of luggage cost is the sum of the cost of the small and large bag, so

122 = x + (2x + 30)

Solving this equation for x, we get:

x = 42

Therefore, the small bag costs 42 dollars and the large bag costs 2*42 +30 = 114 dollars.

Answer:

p= 40cm squared

a= 100cm squared

Step-by-step explanation:

. . . .

Answer:

80 points

Step-by-step explanation:

If score in English is x points and score in math is 5% higher then score in math

y = x + 0.05x

where 0.05 = 5% expressed as decimal

0.05x refers to the 5% increase in score

y = math score

y = x(1 + 0.05)

y = 1.05x

Given score in math = 84 this becomes

84 = 1.05x

x = 84/1.05

x = 80

So Emily's score in English was 80 points

To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.

First, multiply 2x by each term inside the second parentheses:

2x * 5x^2 = 10x^3

2x * -2x = -4x^2

2x * 7 = 14x

Next, multiply -3 by each term inside the second parentheses:

-3 * 5x^2 = -15x^2

-3 * -2x = 6x

-3 * 7 = -21

Combine all the resulting terms:

10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21

Now, combine like terms:

10x^3 - 19x^2 + 20x - 21

So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.

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Answer:

In response to tissue injury, the body initiates a chemical signaling cascade that stimulates responses aimed at healing affected tissues. These signals activate leukocyte chemotaxis from the general circulation to sites of damage. These activated leukocytes produce cytokines that induce inflammatory responses [7].

Step-by-step explanation: