Match the type of slope to the equation. You may need to solve for slope-intercept form for some equations.
y-12
x--13
-6y--2x+30
3x+5y-15

Answer:

The ratio is 11:8

Step-by-step explanation:

There's 11 trees in Jeans yard hence the first number of the ratio (11)

While Anita has 8, hence the second number in the ratio (8)

Therefore the ration of Jean's trees to Anita's is 11:8

The given initial value problem is y′′-4y=0. The solution to the initial value problem is y(t)=(3/2)*e^(2t)-(1/2)*e^(-2t).

This is a second-order homogeneous linear differential equation with constant coefficients. The characteristic equation is r^2-4=0, which has roots r=±2. Therefore, the general solution is y(t)=c1e^(2t)+c2e^(-2t), where c1 and c2 are constants determined by the initial conditions.

To find c1 and c2, we need to use the initial conditions. Let's say that y(0)=1 and y'(0)=2. Then, we have:

y(0)=c1+c2=1

y'(0)=2c1-2c2=2

Solving these equations simultaneously gives us c1=3/2 and c2=-1/2. Therefore, the solution to the initial value problem is y(t)=(3/2)*e^(2t)-(1/2)*e^(-2t).

Learn more about initial value here

https://brainly.com/question/2546258

#SPJ11

The speaking turn, the adjacency pair, and the sequential implicativeness are the three fundamental components of conversation that conversation analysts identify.

The three essential elements of conversation that conversation analysts identify are the speaking turn, the adjacency pair, and the sequential implicativeness.

Mary: Hello! Mary is my name.

Andrew: Hey Mary I'm Andrew, and how are you? Nice to meet you.

Mary: Thank you; I just arrived from Memphis; I'm OK. , From where do you hail?

Andrew: You are a Memphis native? I'm a Cleveland native; is this also your first day of classes?

Mary: Indeed! I recently met someone from Cleveland at the front desk, and I'm a freshman.

Andrew: Really...? I don't know many Clevelanders who come here.

Clarissa is there, Mary, there she is! Let me introduce you to my pal, please come over!

Clarissa was undoubtedly a student of mine in high school, Andrew

Oh, Clarissa Hello Andrew Hey Mary Are you prepared for the semester to begin?

Mary: Obviously!

Andrew: I can't even find my dorm room, so not really.

The complete question is:

Write a conversation between two students who are meeting for the first time. Have them greet each other, ask each other how they are doing, ask each other where they are from, introduce a third person and say goodbye.

To learn more about conversation refer to:

https://brainly.com/question/24549573

#SPJ4

Answer:

2.3w - 7 + 8.1 - 3w = -3w + 2.3w + 8.1 - 7

= -0.7w + 1.1

This is the result of performing the operations in the given order: subtracting 7 from 8.1, subtracting 3w from 2.3w, and adding the results. The expression simplifies to -0.7w + 1.1

Step-by-step explanation:

Answer:

5.3w + 1.1

Step-by-step explanation:

Combine like terms

2.3w - (- 3w) = 5.3w

- 7 + 8.1 = 1.1

Answer

5.3w + 1.1

Answer:

iisbshdhdhhdhdhdhdhhdhdhhhdhhehehehhe

Answer:

The second line

Step-by-step explanation:

The answer to this equation is about 1.1, so the best line would be the second one

Answer: \(\frac{20}{24}\)

Multiply each sides of the fraction (numerator/denominator) by 4.

5 x 4 = 20, 6 x 4 = 24

Make a fraction out of 20 and 24.

20/24 = \(\frac{20}{24}\)

Make sure the fraction is correct, by adding.

20 + 24 = 44

Answer = 44

a) The hypotheses for this test are as follows: Null hypothesis (H0): The mean weight loss is the same for low-carbohydrate and low-fat diets. Alternative hypothesis (Ha): The mean weight loss differs between low-carbohydrate and low-fat diets.

b) The test statistic, t is 1.0968.

c) There are 76 degrees of freedom.

d) Since the calculated t-value (1.0968) is smaller than the critical t-value (1.292), we fail to reject the null hypothesis.

b) To compute the test statistic, t, we can use the formula:

t = (x1 - x2) / √((s1²/n1) + (s2²/n2))

Where:

x1 = sample mean weight loss for the low-carbohydrate diet (4.7 kg)

x2 = sample mean weight loss for the low-fat diet (2.6 kg)

s1 = sample standard deviation for the low-carbohydrate diet (7.16 kg)

s2 = sample standard deviation for the low-fat diet (5.90 kg)

n1 = sample size for the low-carbohydrate diet (77)

n2 = sample size for the low-fat diet (79)

Plugging in the values, we get:

t = (4.7 - 2.6) / √((7.16²/77) + (5.90²/79))

t = 1.1 / √(0.5823 + 0.4248)

t = 1.1 / √1.0071

t ≈ 1.1 / 1.0035

t ≈ 1.0968

c) The degrees of freedom can be calculated using the simple method, which is the smaller sample size minus 1:

df = min(n1, n2) - 1

df = 77 - 1

df = 76

d) To determine whether to reject the null hypothesis or not, we compare the calculated t-value to the critical t-value at α = 0.1 (90% confidence level) with the given degrees of freedom. Consulting a t-distribution table or using statistical software, the critical t-value for α = 0.1 and df = 76 is approximately 1.292.

This means that there is not enough evidence to conclude that the mean weight loss differs significantly between the low-carbohydrate and low-fat diets based on this sample data.

Based on the sample data and a significance level of α = 0.1, there is insufficient evidence to conclude that the mean weight loss differs between low-carbohydrate and low-fat diets. The study included a sample of 77 subjects on a low-carbohydrate diet and 79 subjects on a low-fat diet for six months.

The sample mean weight loss for the low-carbohydrate diet was 4.7 kilograms, with a sample standard deviation of 7.16 kilograms. The sample mean weight loss for the low-fat diet was 2.6 kilograms, with a standard deviation of 5.90 kilograms.

Using a t-test with the appropriate formulas, the calculated test statistic (t) was 1.0968. The degrees of freedom were determined to be 76. Comparing the calculated t-value to the critical t-value at α = 0.1, which was approximately 1.292, it was found that the calculated t-value was smaller.

Therefore, the null hypothesis that the mean weight loss is the same for both diets was not rejected.

In conclusion, based on the given sample data, there is no significant difference in mean weight loss between the low-carbohydrate and low-fat diets.

However, it's important to note that this conclusion is specific to the sample studied and may not necessarily generalize to the entire population. Further research with larger sample sizes and diverse populations is recommended to provide more robust conclusions.

For more such questions on Null hypothesis

https://brainly.com/question/4436370

#SPJ8

Answer:

i) 180 degrees

ii) 59 dgerees

iii) 12 degrees

iv) a + b= 66 + 12 = 78 degrees

v) 180 - (78 + 59)

180 - 137

43 degrees

Step-by-step explanation:

The midterm score of 45 is the 3rd decile, meaning that 42% of the Senior High School students scored below this test.

Deciles are a type of percentile that divides data into groups of 10%. That is, each decile comprises 10% of the dataset.

To determine the decile, sort the data from lowest to highest. Now, divide the result by ten. This number reflects the no. of observed values within each decile.

Sorting the data from lowest to highest, we have:

= 14/10

= 1.4

Thus, each decile contains only a 1.4 score.

Learn more about calculating the decile from a data set here:

https://brainly.com/question/14456734

#SPJ1

The triangle with exterior angle x = 120° have the interior angles as: m∠A = 70, m∠B = 50, and m∠C = 60°

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

interior opposite angles are 2x° and (x + 15)°

2x + x + 15 = 120

3x + 15 = 120

3x = 120 - 15 {subtract 15 from both sides}

3x = 105

x = 105/3 {divide through by 3}

x = 35

m∠A = 2(35) = 70

m∠B = 35 + 15 = 50

m∠C = 180° - 120° {sum of angles on a straight line}

m∠C = 60°

In conclusion, the triangle with exterior angle x = 120° have the interior angles as: m∠A = 70, m∠B = 50, and m∠C = 60°.

Know more about exterior angle here:https://brainly.com/question/17972372

#SPJ1

Answer:

No

Step-by-step explanation:

no

Given

Round each addend to the nearest hundred and estimate

Now

Answer

Check Explanation

Explanation

4) The domain refers to the values of the independent variable (x), where the dependent variable [y or f(x)] or the function has a corresponding real value. The domain is simply the values of x for which the output also exists. It is the region around the x-axis that the graph spans.

From the graph of this relation presented, the domain of this spans from x = -2.5 upwards.

Domain is (x > -2.5)

The range refers to the region of values where the function can exist. It refers to the values that the dependent variable [y or f(x)] can take on. It is the region around the y-axis that the graph spans.

From the graph, we can see that the mouth of graph keeps expanding as the we move from left to right, indicating that it will keep covering more of the y-axis as we go on.

So, range of this spans all the real number values of y.

A function is an expression that takes up each value of an independent variable (x) and gives a corresponding value of a dependent variable (y) without the same values of the independent variable (x) giving different values of the dependent variable (y).

We can see that there are cases where the same value of x gives multiple values of y like the at x = 0, y = 1 and y = -1.

So, this relation does not classify as a function.

5) Here, we are given that the relation is,

{(-2, 1) (4, 3) (8,-1) (-3,-4) (5,2)}

Noting that it is written in the form of (x, y)

Domain = {-2, 4, 8, -3, 5}

Range = {1, 3, -1, -4, 2}

We can see that no x value gives multiple y values.

Hence, this qualifies as a function

6) For this one where the line has an arrow at both ends, indicating that it continues till infinity

Therefore,

For the domain, we can tell that all the real number values of x will be the domain of this.

For the range similarly, it will cover all the real number values of y.

And this is a function as all the different values of x each give only one value for y.

We are then asked to compute the x and y intercept.

The x intercept is the point where the line crosses the x-axis and y = 0,

The y intercept is the point where the line crosses the y-axis and x = 0,

From the graph, we can see that

x-intercept = (8, 0)

y-intercept = (0, 4)

Hope this Helps!!!

Given the function f(x)= 1/(x+6) We are to find the inverse function of the given function,

i.e., f^-1(x).To find the inverse of a function, we need to interchange the x and y and solve for y. So, we have:=> x = 1/(y+6) => y+6 = 1/x => y = 1/x - 6

Therefore, the inverse function of f(x) = 1/(x+6) is f^-1(x) = 1/x - 6.

Since the answer requires a 250-word count, we can explain the concept of inverse function.

What is the inverse function? A function which performs the opposite operation of another function is known as the inverse function.

The inverse function of a given function may be obtained by replacing x with y in the given function and solving for y. If the inverse function exists, the domain of the original function is equal to the range of the inverse function and the range of the original function is equal to the domain of the inverse function.

To know more about range Visit:

https://brainly.com/question/29204101

#SPJ11

Step-by-step explanation:

\(2 \frac{1}{2} y = \frac{5}{8} \)

Convert Mixed number to improper fraction.

\(2 \frac{1}{2} = \frac{5}{2} \)

Equate

\( \frac{5}{2} y = \frac{5}{8} \)

Cross Multiply

\(5y \times 8 = 2 \times 5 \\ 40y = 10\)

Divide both sides of the equation by 40

\( \frac{40y}{40} = \frac{10}{40} \)

Simplify

\(y = \frac{1}{4} \)

Hence, we can conclude that the value of the length of the rectangular base is 4 meters.

option b is correct.

'A rectangular pyramid is a type of pyramid with the base shaped like a rectangle but the sides are shaped like a triangle. A pyramid usually has triangular sides but with different bases.

According to the given problem,

Volume = 120 cubic meters

Height = 15 m

Width of rectangular base = 6 meter

Let the length be x,

\(v=\frac{lwh}{3}\)

\(120=\frac{x*15*6}{3}\)

360=90x

x=4 meter

Hence, we can conclude that the value of the length of the rectangular base is 4 meters.

learn more about the rectangular pyramid ,

https://brainly.com/question/21416050

#SPJ4

Answer:

the answer is 25 and 155

Step-by-step explanation:

i took the test

Answer:

its 25 and 155

Step-by-step explanation:

i took the test

A mean of a normal distribution's upper bound of a 95% confidence interval is 58.11.

For the given question,

The confidence bound's upper limit (UCB) is determined as follows:

UCB =  μ + z(α/2)×σ/√n

Now, α/2 = (1 - 0.95)/2

α/2 = 0.025

z(α/2) = 1.96  (obtain from t-distribution table for degree of freedom)

Put the values in the formula,

UCB =  μ + z(α/2)×σ/√n

UCB = 36.96 + 1.96×41.8/√15

UCB = 58.11

As a result, 58.11 is the upper bound of a 95% confidence interval for the mean of a normal distribution.

To know more about confidence interval, here

brainly.com/question/15712887

#SPJ4

Answer:

$34.51

Step-by-step explanation:

To find 19% of 29, you first want to change the 19% to a decimal.

19% to a decimal is 0.19

Then you multiply the 0.19 by 29

29•0.19= 5.51

Now just add the 5.51 to the 29 to get the total

5.51+29=$34.51

Answer: The correct answer is

B. Its shape is completely concave downward.

Answer:

112 feet

Step-by-step explanation:

3 x 14 = 42

8 x 14 = 112

By using the equation \((x - h)^2 + (y - v)^2 = r^2,\)  we can represent a circle with its center at (h, v) and radius r.

The equation of a circle with its center not at the origin is derived from the general equation of a circle.

The general equation of a circle with center (h, v) and radius r is given by:

\((x - h)^2 + (y - v)^2 = r^2\)

In this equation, (x, y) represents any point on the circle.

The values (h, v) represent the coordinates of the center of the circle, and r represents the radius.

To understand why this equation represents a circle, let's break it down. The term \((x - h)^2\) represents the square of the difference between the x-coordinate of any point on the circle and the x-coordinate of the center. Similarly, \((y - v)^2\) represents the square of the difference between the y-coordinate of any point on the circle and the y-coordinate of the center. Adding these two terms together gives the sum of the squares of the differences between the coordinates of any point on the circle and the coordinates of the center.

If this sum is equal to the square of the radius \((r^2),\) it means that the point is on the circle.

Conversely, if the sum is greater than \(r^2,\)the point is outside the circle, and if the sum is smaller than \(r^2,\) the point is inside the circle.

For similar question on equation.

https://brainly.com/question/17145398

#SPJ8  

The difference between distributed vs. distributional representations: Distributed representations use word co-occurrence, while distributional representations use vectors. So, option 1 is the correct answer.

A distributed representation is a model for representing a concept, object, or event in which each entity is defined by a list of factors. These features are usually weighted to reflect their relative importance to the object being modeled.

A distributional representation is a model for representing linguistic meaning in which words are represented by vectors. This approach builds on the observation that words that appear in similar contexts in texts are often semantically similar. As a result, a word's meaning is derived from the distributional information about it that is captured by its context in the text. Distributed representations use word co-occurrence, while distributional representations use vectors. Option 1 is the correct answer.

To know more about distributed representation refer here:

https://brainly.com/question/30613566

#SPJ11

Answer:

10 = c

Step-by-step explanation:

Distribute -4 to the parentheses:

8 = 8c - 4(c + 8)

8 = 8c - 4c - 32

Add like terms:

8 = 4c - 32

Add 32 to both sides:

40 = 4c

10 = c

Answer:

Question:

8=8c-4(c+8)

Step-by-step explanation:

8=8c-4c-32

8=4c-32

8+32=4c

40=4c

Or

4c=40

c=10

Answer:

Yes, the probability of seeing the sample result is so far from what is expected that the probability of it occurring by chance alone is very unlikely.

Step-by-step explanation:

I hope this is right

Answer:

7 by 11

Step-by-step explanation:

Let's assume that the length of the rectangular patio is "l" meters and the width is "w" meters.

According to the problem statement, the perimeter of the patio is 36 meters, so we can set up the equation:

2l + 2w = 36

Simplifying this equation by dividing both sides by 2, we get:

l + w = 18

We also know that the area of the patio is 77 square meters, so we can set up another equation:

lw = 77

We now have two equations in two variables, and we can use them to solve for l and w.

From the first equation, we can solve for one variable in terms of the other:

w = 18 - l

Substituting this expression for w into the second equation, we get:

l(18 - l) = 77

Expanding the left-hand side, we get a quadratic equation:

18l - l^2 = 77

Rearranging and simplifying, we get:

l^2 - 18l + 77 = 0

This quadratic equation can be factored as:

(l - 7)(l - 11) = 0

Therefore, the solutions are l = 7 or l = 11.

If l = 7, then w = 18 - l = 11, and the dimensions of the patio are 7 meters by 11 meters.

If l = 11, then w = 18 - l = 7, and the dimensions of the patio are 11 meters by 7 meters.

Therefore, the dimensions of the patio are either 7 meters by 11 meters or 11 meters by 7 meters.

Answer:

63⁰

Step-by-step explanation:

As in cyclic quadrilateral sum of opposite angles us equal to 180⁰