1. find the solution that satisfies the initial conditions
y (0)=1 ,
y'(0 )=0 , y''(0)=−2 ,
y'''(0)=−1

Answer: 5/12

Step-by-step explanation:

Since the first customer bought 1/2 of the pan of brownies. This means that the pan of brownies left will be:

= 1 - 1/2

= 1/2

The The second customer bought 5/6 of what was left of the pan of brownies, the fraction that the second customer bought will be:

= 5/6 × 1/2

= 5/12

Answer:

5/12

Step-by-step explanation:

At a bake stall there is a large square pan of chocolate brownies. Customers can buy any fraction of the pan of brownies they like.

The first customer bought 1/2 of the pan of brownies.

The amount of brownies that was left over is given as:

1 - 1/2 = 1/2 brownies left ove

The second customer bought 5/6 of what was left of the pan of brownies.

The amount of brownies the second customers bought is calculated as:

5/6 of 1/2

= 5/6 × 1/2

= 5/12

What fraction of the whole pan did the second customer buy

Answer:

\(\displaystyle (\frac{-3}{2},\frac{-5}{2})\)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (-5, 2)

Point (2, -7)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

To determine the stationing of PT on the horizontal curve, we need to consider the given information of the backsite bearing, deflection angle, and degree of curvature. By utilizing the stationing of PC, which is 6+88, we can calculate the stationing of PT.

The backsite bearing of N 10°E indicates that the tangent line extends 10° east of north. The deflection angle of 57° signifies the change in direction from the tangent line to the chord connecting PC and PT. The degree of curvature D, which is 5°, provides the angular change per station.

To calculate the stationing of PT, we need to determine the length of the curve between PC and PT. This can be done by dividing the deflection angle (57°) by the degree of curvature (5°) to obtain the number of stations. In this case, the length of the curve is 57° / 5° = 11.4 stations.

Next, we add the length of the curve (11.4 stations) to the stationing of PC (6+88) to find the stationing of PT. The stationing of PT is 6+88 + 11.4 = 18+28.4.

In summary, the stationing of PT on the horizontal curve, given a backsite bearing of N 10°E, a deflection angle of 57°, and a degree of curvature of 5°, is 18+28.4.

know more about deflection angle :brainly.com/question/22953155

#SPJ11

Answer:

uh, this is very confusing....is there anyway that you could word it differently?

Answer:

67

Step-by-step explanation:

I got it right trust me

Answer:

To persuade the reader of the graph to buy something or develop an opinion about something which would benefit the creator of the graph

Step-by-step explanation:

Answer:

here is the answer:

Because they don't have the data to prove their point, so they're doing that to see if they can get away with it.

Step-by-step explanation:

Misleading Graphs in Real Life: Overview

The Vertical scale is too big or too small, or skips numbers, or doesn't start at zero. The graph isn't labeled properly. Data is left out.

There are 27,405 different groups of 4 people that a company can make from a pool of 30 individuals to send to a job site.

To determine the number of different groups of 4 people that can be made from a pool of 30 individuals, we can use the concept of combinations. In this scenario, order does not matter, and repetition is not allowed. We can calculate the number of combinations using the formula C(n, r) = n! / (r!(n-r)!), where n represents the total number of individuals and r represents the number of people in each group.

Using this formula, we can calculate C(30, 4) as follows:

C(30, 4) = 30! / (4!(30-4)!)

          = 30! / (4!26!)

Simplifying the expression, we get:

C(30, 4) = (30 * 29 * 28 * 27) / (4 * 3 * 2 * 1)

         = 27,405

Therefore, there are 27,405 different groups of 4 people that the company can make from the pool of 30 individuals to send to a job site.

Learn more about  individuals here:

https://brainly.com/question/31354534

#SPJ11

Answer:

refer to the pic attached for steps

True. the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model.

The slope and intercept of a line reveal the steepness of the line and the location in which it intersects an axis. The slope and intercept of the logistic relationship of the two variables can be utilized to get the average change rate. The ratio of a change in the variable y to the rise in the x component is known as the the line's slope.

Y = a + bX, where X seems to be the mediating variable and Y is the response variable, is the equation of a linear regression line. A is the intersection (the result of y for x = 0), and b is the line's slope.

To learn more about slope visit:

https://brainly.com/question/29690915

#SPJ4

Answer:

The average velocity of the particle is \(\vec {v}_{avg} = 4\,\hat{i} +24\,\hat{j}\,\left[\frac{m}{s} \right]\).

Step-by-step explanation:

In vector terms, the average velocity of a particle (\(\vec v_{avg}\)), in meters per second, at a given time change (\(\Delta t\)), in seconds:

\(\vec v_{med} = \frac{\Delta x}{\Delta t}\,\hat{i} + \frac{\Delta y}{\Delta t}\,\hat{j}\) (1)

Where \(\Delta x\) and \(\Delta y\) is the change in position for x and y axes, in meters.

\(\Delta x = x(2) - x(1)\)

\(\Delta x = (4\cdot 2 - 1)-(4\cdot 1 - 1)\)

\(\Delta x = 4\,m\)

\(\Delta y = y(2) - y(1)\)

\(\Delta y = 8\cdot (2)^{2}-8\cdot (1)^{2}\)

\(\Delta y = 24\,m\)

\(\Delta t = 2\,s - 1\,s\)

\(\Delta t = 1\,s\)

\(\vec v_{avg} = \left(\frac{4\,m}{1\,s}\right)\,\hat{i} + \left(\frac{24\,m}{1\,s} \right) \,\hat{j}\)

\(\vec {v}_{avg} = 4\,\hat{i} +24\,\hat{j}\,\left[\frac{m}{s} \right]\)

Answer:

No

Step-by-step explanation:

We can check if it is a right triangle using the Pythagorean Theorem :

a² + b² = c², where a and b are the shorter sides, and c is the longest side.

(2)² + (3)² = (5)²

4 + 9 = 25

=> Incorrect

=> As it does not satisfy the equation, it is not possible to have a right triangle with these sides

in a right triangle, the measure of the longest side or hypotenuse is equal to the square of the other side.

the longest side = 5

the other side = 2 and 3

Pythagorean law applies:

5² ≠ 2² + 3²

So it is not possible

R-squared is an important statistic in regression, it measures how well the model fits the data.

What is regression ?

Regression is a statistical method used to analyze the relationship between one or more independent variables and a dependent variable. It is used to predict the value of the dependent variable based on the values of the independent variables.

One important statistic from the regression outputs is R-squared, it measures how well the model fits the data. It ranges from 0 to 1, and a higher R-squared value indicates a better fit. In other words, it represents the proportion of the variance in the dependent variable that is predictable from the independent variable(s). It can provide an overall measure of how well the model is able to explain the variation in the dependent variable based on the independent variable(s).

The statistic that can be hardest to interpret and why can vary depending on the complexity of the model and the user's level of understanding of statistics. But one statistic that can be challenging for some people to interpret is the p-value, which is used to determine the statistical significance of the coefficients of the model.

R-squared is an important statistic in regression, it measures how well the model fits the data.

To learn more about regression visit : brainly.com/question/14313391

#SPJ4

The exact length of the curve y=sqrt(x-x^2)+sin^-1(sqrt(x)) is 2.527.

The exact length of the curve y=sqrt(x-x^2)+sin^-1(sqrt(x)) can be calculated using the formula for arc length.

This formula states that the length of a parametric curve from t=a to t=b is equal to the integral of the square root of the sum of the squares of the respective derivatives of x and y, evaluated from a to b.

Using this formula, the length of the curve y=sqrt(x-x^2)+sin^-1(sqrt(x)) can be calculated by integrating the square root of (1-2x)^2 + (1/sqrt(x))^2 from 0 to 1. This yields a length of approximately 2.527.

Learn more about Curves here:

https://brainly.com/question/15122151

#SPJ4

The length of the section that needs to be repaved is,

⇒ 4 / 21 miles

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A road is 2/7 of a mile long

And, a crew needs to repave 2/3 of the road.

Now, The length of the section that needs to be repaved is,

⇒ 2/3 of 2/7

⇒ 2/3 × 2/7

⇒ 4 / 21 miles

Thus, The length of the section that needs to be repaved is,

⇒ 4 / 21 miles

Learn more aboput the multiplication visit:

brainly.com/question/10873737

#SPJ9

Answer:

for the whole month $75.00 for each day around $2.60

Step-by-step explanation:

$100-$25=$75

$75÷29=$2.60 (rounded)

full number is $2.586206896551724

Can I please have Brainliest?

The correct option is B, the value of the population variance or standard deviation is not needed to compute a t-statistic.

The t-statistic is a measure used in statistics to determine if there is a significant difference between the means of two groups. It is calculated by taking the difference between the means of the two groups and dividing it by the standard error of the difference. The resulting value is then compared to a t-distribution to determine the probability of obtaining that value by chance.

The t-statistic is often used in hypothesis testing, where a null hypothesis is assumed and the t-statistic is used to determine the likelihood of rejecting the null hypothesis. A high t-statistic value indicates that the difference between the means of the two groups is significant, while a low t-statistic value suggests that the difference is likely due to chance.

To learn more about T-statistic visit here:

brainly.com/question/15236063

#SPJ4

Complete Question:-

Which of the following is not needed to compute a t-statistic?

Hint: why did we need to switch from a z-test to a t-test?

a. a hypothesized value for the population mean

b. the value of the population variance or standard deviation

c. the value of the sample mean

d. the value of the sample variance or standard deviation

The graph of the absolute value functions is added as an attachment

An absolute value function is represented as

y = a|x - h| + k

Where the vertex is

Vertex = (h, k)

Using the above as a guide, we have the following:

Next, we plot the graph of the functions using the vertex

See attachment for the graph of the absolute value functions where color is used to represent the key/legend

Read more about absolute value function at

https://brainly.com/question/10538556

#SPJ1

Given:

Sarah ate \(\dfrac{1}{5}\) of the pizza.

Her friend John ate 20%.

Her friend Jules ate half of the pizza.

To find:

The remaining part of the pizza.

Solution:

We have,

Sarah ate = \(\dfrac{1}{5}\) of the pizza.

John ate = \(20\%\)  of the pizza.

              = \(\dfrac{20}{100}\)  of the pizza.

              = \(\dfrac{1}{5}\) of the pizza.

Jules ate = \(\dfrac{1}{2}\) of the pizza.

Total part of a pizza they ate = \(\dfrac{1}{5}+\dfrac{1}{5}+\dfrac{1}{2}\)

                                 = \(\dfrac{2+2+5}{10}\)

                                 = \(\dfrac{9}{10}\) of the pizza.

Now, the remaining pizza is

Remaining pizza = 1 - Total part of a pizza they ate

                            = \(1-\dfrac{9}{10}\) of the pizza.

                            = \(\dfrac{10-9}{10}\) of the pizza.

                            = \(\dfrac{1}{10}\) of the pizza.

Therefore, the remaining pizza is \(\dfrac{1}{10}\) of the pizza.                        

Answer:

I believe the correct answer would be A: 3/5 = 60

Step-by-step explanation:

Firstly, the second option is wrong because 0.06 would be 6 hundredths, so that is wrong, the third option would be incorrect because 0.002 would equal 2 thousandths so that is also wrong, and the fourth option would be 25% instead of 75%, so your answer should be A.

The cost of each large smoothie (y) is $7.

To find the cost of a small smoothie (x) and the cost of a large smoothie (y), we can set up a system of equations based on the given information.

Let's denote the cost of a small smoothie as x and the cost of a large smoothie as y.

We can establish two equations:

Equation 1: 10y + 5x = 65 (The girls soccer team paid $65 for 10 large smoothies and 5 small smoothies.)

Equation 2: 14y + 3x = 77 (The boys soccer team paid $77 for 14 large smoothies and 3 small smoothies.)

To solve this system of equations, we can use various methods such as substitution or elimination.

Let's solve it using the elimination method:

Multiply Equation 1 by 2 to eliminate the x term:

20y + 10x = 130

Now we have:

20y + 10x = 130

14y + 3x = 77

Subtracting Equation 2 from Equation 1, we get:

(20y + 10x) - (14y + 3x) = 130 - 77

6y + 7x = 53

We now have two equations:

6y + 7x = 53

14y + 3x = 77

Solving this system of equations will give us the values of x and y, representing the cost of a small smoothie and a large smoothie, respectively.

To find the cost of each large smoothie, we can substitute the value of y back into either of the original equations.

Let's use Equation 1:

10y + 5x = 65

10(3) + 5x = 65 (substituting y = 3)

30 + 5x = 65

5x = 65 - 30

5x = 35

x = 35/5

x = 7

The cost of each large smoothie (y) is $7.

For more questions on cost

https://brainly.com/question/2292799

#SPJ8

The result of the each of the following set is

A ∪ B = {1, 3, 5, 6, 7, 9}

A ∩ B = {3, 9}

A ∪ C = {1, 2, 3, 4, 5, 6, 7, 8, 9}

A ∩ C = {∅}

A - B = {1, 5, 7}

B - A = {6}

B U C = {2, 3, 5, 6, 8, 9 }

B ∩ C = {6}

The given values are

A = {1, 3, 5, 7, 9}

B = {3, 6, 9}

C = {2, 4, 6, 8}

Then find the each given terms in set roaster notation

Union of the set, intersection of the set  and the difference of the set are the basic operations of set

A ∪ B = {1, 3, 5, 6, 7, 9}

A ∩ B = {3, 9}

A ∪ C = {1, 2, 3, 4, 5, 6, 7, 8, 9}

A ∩ C = {∅}

A - B = {1, 5, 7}

B - A = {6}

B U C = {2, 3, 5, 6, 8, 9 }

B ∩ C = {6}

Therefore, all the given terms has been found

Learn  more about set here

brainly.com/question/29055360

#SPJ4

Using a system of equations, there are 19 horses and 18 chickens in the field.

Let's solve this problem using a system of equations.

Let's assume:

x = number of horses

y = number of chickens

We can set up the following equations based on the given information:

Equation 1: The total number of heads: x + y = 37

Equation 2: The total number of feet: 4x + 2y = 112

We have two equations with two unknowns, so we can solve this system of equations.

From Equation 1, we can solve for x in terms of y:

x = 37 - y

Substituting this value of x into Equation 2, we get:

4(37 - y) + 2y = 112

148 - 4y + 2y = 112

-2y = 112 - 148

-2y = -36

y = -36 / -2

y = 18

Now that we have the value of y, we can substitute it back into Equation 1 to find x:

x + 18 = 37

x = 37 - 18

x = 19

The correct question is:

A farmer notes that in a field full of horses and chickens there are 37 heads and 112 feet. How many of each animal are there?

To know more about system of equations:

https://brainly.com/question/20067450

#SPJ4

Answer:

x = 6

Step-by-step explanation:

The number of times both services left the interchange together from 9am to 12 noon is 0.

Let's call the number of 15-minute intervals that have passed since 9 am "t".

So, the time that bus number 801 leaves the interchange after t intervals is 9am + 15t minutes.

Similarly, the time that bus number 802 leaves the interchange after t intervals is 9 am + 20t minutes.

For both services to leave the interchange at the same time, the number of 15-minute intervals that have passed since 9 am must be the same for both buses.

In other words, 15t must equal 20t.

Dividing both sides of this equation by 5, we get 3t = 4t.

This equation has no solution, which means that bus number 801 and bus number 802 never leave the interchange at the same time from 9am to 12 noon.

For more questions on Linear Equation

https://brainly.com/question/2030026

#SPJ4

Answer:

20bxbcd is the answer of the question that he have given

Andrew is correct because 60 is the highest whole number that can round to 60. Any number higher than 60 will round up to a higher number. For example, 61 will round up to 70, and 62 will round up to 70. Therefore, 60 is the greatest whole number that rounds to 60.

The highest whole number is infinity, as there is no limit to how high a number can be. Whole numbers are all the numbers that are greater than or equal to 0, including 0 itself. The highest whole number is therefore infinity, as this is the highest possible number.

Learn more about the greatest whole number:

https://brainly.com/question/593507

#SPJ4

Answer:

a= 122, b=52

Step-by-step explanation:

Please see the attached picture for full solution.