Find the measure of the largest angle in the diagram below.

The equation of the straight line passing through the points (-1,1) and (2,-4) is  y = -5/3x - 2/3.

To find the equation, we can use the point-slope form of a linear equation, which is y - y₁ = m(x - x₁), where (x₁, y₁) are the coordinates of a point on the line and m is the slope of the line.

We have,

Point 1: (-1, 1) with coordinates (x₁, y₁)

Point 2: (2, -4) with coordinates (x₂, y₂)

Let's calculate the slope (m):

m = (y₂ - y₁) / (x₂ - x₁)

 = (-4 - 1) / (2 - (-1))

 = -5 / 3

Now, substituting one of the points and the slope into the point-slope form, we have:

y - y₁ = m(x - x₁)

y - 1 = (-5/3)(x - (-1))

y - 1 = (-5/3)(x + 1)

Expanding the equation:

y - 1 = (-5/3)x - 5/3

To simplify the equation, let's multiply both sides by 3 to eliminate the fraction:

3(y - 1) = -5x - 5

Expanding and rearranging the equation, we get:

3y - 3 = -5x - 5

3y = -5x - 5 + 3

3y = -5x - 2

y = (-5/3)x - 2/3

Thus, the equation of the straight line passing through the points (-1,1) and (2,-4) is y = -5/3x - 2/3.

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Answer:

to get your answer you have to. Then after that, and finally

Answer:

Step-by-step explanation:

In the given large pizza

diameter (d) = 24 in

Now

Circumference

= π* d

= 3.14 * 24

= 75.36 in

Hope it helps :)

The correct answers are:

vertical angle theorem

angle addition postulate

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Interior angles:- The inner angle made by the intersection of two polygonal sides.

Exterior angles:- The outer angle made by the intersection of two polygonal sides.

The evidence in the proof that supports the statement that m/AOW = 45° is:

Statement 3: ZZOB ZXOA. This means that ZOB and ZOA are vertical angles, which means they are congruent.

Statement 4: m/XOA = 45°. This is the measure of ZOA, which is congruent to ZOB.

Statement 7: m/XOA + m/AOW = m/XOW. This is the angle addition postulate, which states that the sum of the measures of the angles in a triangle is 180°.

So, combining these pieces of evidence, we have:

m/XOA = 45° and m/XOA + m/AOW = m/XOW,

therefore m/AOW = m/XOW - m/XOA

                              = 90° - 45°

                              = 45°.

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Answer:7, 4, 6,

Step-by-step explanation:

Answer:  (-0.5, 9)

-0.5 = -1/2

=====================================================

Explanation:

Add up the x coordinates and then divide the result by 2

(3 + (-4))/2 = (3 - 4)/2 = -1/2 = -0.5

Do the same for the y coordinates

(10+8)/2 = 18/2 = 9

The midpoint is therefore located at (-0.5, 9)

This is the same as saying (-1/2, 9)

The decimal form of this answer might be easier to deal with.

The expression for the number of games Holly now has in standard form is D: -9 - 5x - x^2 + 3x^3 + 7x^4.

To determine the expression for the number of games Holly now has, we analyze the given information step by step. Holly starts with 3x^3 games and buys another 7x^4, resulting in a total of 3x^3 + 7x^4 games.

She then gives away x^2, which reduces the total to 3x^3 + 7x^4 - x^2. Next, she sells 5x games, leading to 3x^3 + 7x^4 - x^2 - 5x.

Finally, she donates another 9 games, resulting in a final expression of 3x^3 + 7x^4 - x^2 - 5x - 9. Simplifying further, we get the expression in standard form: -9 - 5x - x^2 + 3x^3 + 7x^4.

Therefore, the correct expression is D.


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Answer:

D) 12 feet

Step-by-step explanation:

The formula for area of a rectangle is length x width. We have this information: length x 7 = 84. To solve for this, divide 7 from both sides to get: length = 12 feet.

Hope it helps!

Answer:

12 ft

Step-by-step explanation:

L = area / width

L = 84 / 7

L = 12

Answer:

The initial number of video views was more than the initial number of site visits, and the number of video views grew by  a smaller factor than  the number of site visits.  The difference between the total number of site visits and the video views after 5 weeks is  20,825

Step-by-step explanation:

the initial video view was 5120 and the initial number of site visits were 4800, so the initial video view was more than.

The video views grew by 5/4 and the number of site visits grew by 3/2, and since 3/2 is > 5/4, the video views grew by a smaller factor than the number of site visits.

the result for the video views after 5 weeks is 15,625 and the site visits after 5 weeks is 36450, so 36450-15,625=20,825

Answer:

Step-by-step explanation:

Here's proof of the answer correcto

happy earth day 2 years hehe

Answer:

The name of the solid with 20 faces that are congruent equilateral triangles is icosahedron.

The solid you are referring to is called an icosahedron. An icosahedron is a specific type of convex polyhedron that has 20 faces. In this case, all 20 faces are congruent equilateral triangles. Option d is correct answer.

To understand why this solid is called an icosahedron, let's break down the term. "Icosa-" comes from the Greek word for twenty, while "-hedron" means face. Therefore, an icosahedron is a polyhedron with twenty faces.

Each face of an icosahedron is an equilateral triangle, meaning that all three sides of the triangle are equal in length, and all three angles are equal to 60 degrees. Since all 20 faces are congruent, they have the same side lengths and angles.

The icosahedron has a total of 12 vertices and 30 edges. The vertices are the points where three edges meet, and the edges are the line segments connecting the vertices. The icosahedron has a symmetrical and regular structure, making it one of the five Platonic solids.

An icosahedron is a convex polyhedron with 20 congruent equilateral triangle faces, 12 vertices, and 30 edges.

Option d is correct answer.

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The solution is Option A.

The system of equations is solved and the value of y = -5/9

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

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 first equation be represented as A

Now , the value of A is

x + 6y = 10   be equation (1)

Let the second equation be represented as B

Now , the value of B is

-x + 3y = -15   be equation (2)

On simplifying the equations , we get

Adding equation (1) and equation (2) , we get

6y + 3y = 10 - 15

9y = -5

Divide by 9 on both sides of the equation , we get

y = - ( 5/9 )

Substitute the value of y in equation (1) , we get

x - 30/9 = 10

Adding 30/9 on both sides of the equation , we get

x = 10 + 30/9

x = 120/9

Hence , the value of x and y are 120/9 and -5/9 respectively

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The addition inequality 37 + x ≥ 42 can be used to determine how much taller William must be to ride the coaster, where x represents the additional height he needs to meet the height requirement.

To write an addition inequality to determine how much taller William must be to ride the coaster, we first need to convert his height to inches. Since he is 3 feet 1 inch tall, his height is (3 x 12) + 1 = 37 inches.

Let x be the amount of additional height William needs to ride the roller coaster. The inequality can be written as:

37 + x ≥ 42

This inequality ensures that William's total height after adding x must be greater than or equal to the required height of 42 inches to ride the roller coaster.

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Answer:

60 degrees

Step-by-step explanation:

because it is an equilateral triangle

Answer:

the answer should be 3.85 that they pay each

Step-by-step explanation:

Because if you add 12.15 (Taharka + Lamari) and 3.85, it equals 16. The 3.85 comes from 16.00 - 12.15

Therefore, the sum of the distances traveled by the tips of both hands in one $24$-hour period is approximately $15.708$ meters.

To start, we need to find the length of each hand. The minute hand measures $10$ cm, which is equivalent to $0.1$ meters, and the hour hand measures $5$ cm, or $0.05$ meters.
Now, let's consider the distance each hand travels in one hour. The minute hand travels the circumference of the clock face, which has a diameter of $20$ cm or $0.2$ meters. The formula for the circumference of a circle is $2\pi r$, so the distance traveled by the minute hand in one hour is $2\pi(0.1) = 0.2\pi$ meters.
The hour hand travels the circumference of a circle with a diameter of $10$ cm or $0.1$ meters. Since the hour hand takes $12$ hours to complete one full revolution around the clock face, it travels $\frac{1}{12}$ of the circumference in one hour. Therefore, the distance traveled by the hour hand in one hour is $\frac{1}{12} \cdot 2\pi(0.05) = \frac{\pi}{120}$ meters.
To find the total distance traveled by both hands in $24$ hours, we can add up the distance traveled by each hand in one hour and multiply by $24$.
Total distance = $24\left(0.2\pi + \frac{\pi}{120}\right) \approx 15.708$ meters
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Answer:

A

Step-by-step explanation:

It goes up by 4 for each cup of flour and over 1 for every cup of milk. Please Brainliest

The general solution is y(t) = c1 t⁻⁹ + c2 t² for the Cauchy-Euler equation t² d²y/dt² + 8t dy/dt - 18y.

We can solve this second-order Cauchy-Euler equation by assuming a solution of the form:

y(t) = \(t^{r\)

We substitute this solution into the differential equation and find the characteristic equation by solving for the values of r that satisfy the equation:

t² d²y/dt² + 8t dy/dt - 18y = 0

t² [r(r-1) \(t^{(r-2)}\)] + 8t [r \(t^{(r-1)}\)] - 18\(t^r\) = 0

r(r-1) + 8r - 18 = 0

r² + 7r - 18 = 0

(r + 9)(r - 2) = 0

So the roots are r = -9 and r = 2. Therefore, the general solution is a linear combination of the two independent solutions:

y(t) = c1 \(t^{(-9)\) + c2 t²

where c1 and c2 are constants to be determined by the initial or boundary conditions of the problem.

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Answer:

The rule to calculate the dilation by a scale factor 1/3 centered at the origin

(x, y) → (3/2x, 3/2y)

Hence, option D is correct.

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

The coordinates of the image can be determined by multiplying the coordinates of the original point by a given scale factor.

Given that the point M was located at (4, -2) and was dilated to M'(6,-3).

It means if we multiply the coordinates of the original point M(4, -2) by 3/2, we get the image point M'(6, -3).

i.e.

M(4, -2) → M'(3/2(4), 3/2(-2)) → M'(6, -3)

In other words, the image M'(6, -3) is obtained after the dilation by a scale factor 3/2 centered at the origin.

Therefore,

The rule to calculate the dilation by a scale factor 1/3 centered at the origin

(x, y) → (3/2x, 3/2y)

Hence, option D is correct.

Answer:

Step-by-step explanation:

Its AAS

two angle and the side is the middle line they connect by !

Answer:

right triangle

Step-by-step explanation:

hope that helps!

The p-value is 0.01, which means that it is very rare to observe a test statistic that is equal to or more extreme than the one that was actually observed. SO the option a is correct.

In the given question, in a hypothesis test for population proportion, we calculated the p-value is 0.01 for the test statistic, we have to find which statement of the p-value is correct.

The p-value is the probability of obtaining results as extreme as, or more extreme than, the observed results of a statistical hypothesis test, assuming that the null hypothesis is true. A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.

A large p-value (> 0.05) indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.

If the null hypothesis is correct, the p-value is the likelihood that a test statistic will be equal to or more extreme than the one that was actually observed. Given that the null hypothesis is correct in this situation, the p-value of 0.01 indicates that it is extremely unusual to see a test statistic as dramatic as the one that was actually seen. This shows that the alternative hypothesis is more likely to be correct and that the null hypothesis is probably not true.

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Answer:

GIVE BRAINLIEST PLZ

I DONT NEED THNX

x = -15

Step-by-step explanation:

1) Four times sum of a number and 10

4(x + 10)

2) is equal to 100 added to 8 times the number

4(x+10) = 8x + 100

x + 10 = 2x + 25

-15 = x

Answer:

k

Step-by-step explanation:

The equation representing proportion is

y = kx ← k is the constant of proportionality

Q1: The regression intercept for stock A can be determined by considering the given regression results and assuming a constant risk-free rate (rf) of 8% with total returns instead of excess returns. The intercept represents the expected return of stock A when the market return (RM) is zero. To calculate the intercept, we need to subtract the product of the market return coefficient and the constant risk-free rate from the intercept of the excess return regression. In this case, the intercept for stock A would be -1.1% - (0.95 * 8%) = -1.87%.

Q2: To calculate the standard deviation of the portfolio, we use the given investment proportions and the standard deviations of stocks A and B. The standard deviation of a portfolio can be calculated by considering the investment proportions and the individual stock standard deviations. Using the given information, we can calculate the standard deviation of the portfolio to be 33.82 (rounded to two decimal places). The beta of the portfolio can be calculated by weighting the betas of stocks A and B according to their investment proportions. Based on the given information, the beta of the portfolio is calculated to be 1.09 (rounded to two decimal places).

Q3: The firm-specific variance of the portfolio represents the part of the portfolio's total variance that is not explained by the market index. To calculate the firm-specific variance, we need the portfolio's total variance and the square of the portfolio beta multiplied by the market variance. However, the necessary values are not provided in the given information, so the firm-specific variance cannot be determined without additional information.

Q4: The covariance between the portfolio and the market index represents the measure of their co-movement. It can be calculated by multiplying the portfolio beta, the standard deviation of the portfolio, and the standard deviation of the market index. However, the necessary values for the calculation are not provided in the given information, so the covariance between the portfolio and the market index cannot be determined without additional information.

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In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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The Laplace transform of the given function f(t) is \(L{f(t)} = (2/s^3) ~e^{-s}\)

We have,

The given function can be represented in terms of unit step functions as follows:

f(t) = 0 for 0 ≤ t < 1

f(t) = t² for t ≥ 1

Using the unit step function u(t), we can express f(t) as:

f(t) = 0 x u(t) + t² x u(t - 1)

Apply the linearity property of the Laplace transforms and use the Laplace transform of the unit step function u(t-a), which is \(1/s ~e^{-as}:\)

\(L{f(t)} = L{0 \times u(t)} + L{t^2 ~ u(t - 1)}\\= 0 \times L{u(t)} + L{t^2} ~ L{u(t - 1)}\\= 0 + L{t^2} ~ e^{-s \times 1}\\= L{t^2} ~ e^{-s}\)

Using the Laplace transform property \(L{t^n} = n!/s^{n+1},\) where n is a positive integer,

\(L{t^2} = 2!/s^{2+1}\\= 2!/s^3\\= 2/s^3\)

Therefore,

The Laplace transform of the given function f(t) is \(L{f(t)} = (2/s^3) ~e^{-s}\)

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Answer:

17.y=-x+12

18.y=-1/4x+7

Step-by-step explanation:

17.a Solve for y (y=-5+x)

17. b Reciprocal (y=-1x-5)

17. c Subsitute equation into (8,-1) (-1=-13=y=x+12)

18.a Subtract y values and x values= (6-4)/(4-12)=2/-8=-1/4, this will be your slope

18. b Plug in -1/4 into either of the two ordered pairs to find y value=(12,4)=(4=-3)=y value=7.

18. c=y=-1/4x+7

The general strategy for solving an equation of the form

is to multiply both sides by a, provided a and b are numerical constants, and x is unknown. This gives

Hence, the correct option is C

The factor or variable that is manipulated in an experiment is called the independent variable. Therefore, the correct answer is b. the independent variable.

The independent variable is a factor or variable that is manipulated or changed by the researcher in an experiment to observe its effect on the dependent variable. It is also called the predictor variable because it is used to predict changes in the dependent variable. The researcher controls the independent variable and can vary it as needed to test different hypotheses. In contrast, the dependent variable is the factor or variable that is being measured or observed in response to the changes made in the independent variable.

For example, in an experiment to test the effect of different doses of medication on blood pressure, the independent variable is the medication dosage, while the dependent variable is the blood pressure readings. The researcher can manipulate the dosage of the medication and measure the effect on the blood pressure to determine the optimal dosage for treating high blood pressure.

It is important to carefully choose and control the independent variable in an experiment to ensure accurate and reliable results. Any extraneous or confounding variables that could affect the dependent variable must be controlled or eliminated to isolate the effect of the independent variable.

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The proportion of 16 to 4 is 4 is 1/4 of 16( 4/16 = 1/4)

So x would be 1/4 of 12

12/4 = 3

X = 3

Answer:

Step-by-step explanation:

The proportion of 16 to 4 is 4 so 1/4 of 16( 4/16 = 1/4)

So x would be 1/4 of 12

12/4 = 3

X = 3