ind the solution to the initial-value problem then put the solution in the form of: y^3 dy/dx = (7y^4 + 14) sin(x); y(0)=c

Answer:

Step-by-step explanation:

Angle ABD plus angle DBC = 90. That's what that little square in the corner there means...a right angle which is 90 degrees. Using substitution,

3x + 15 + 2x = 90 and

5x + 15 = 90 and

5x = 75 so

x = 15. Now we need to plug in 15 for x in 2x to get 2(15) which is 30. Second choice down.

Answer:

s=8

Step-by-step explanation:

The two angles are vertical angles and vertical angles are equal.

110 = 8s-2

Add 2 to each side.

110+2 = 8s-2+2

112 = 8s

Divide each side by 8

112/8=8s/8

14=s

Over the 0.33 and 0.375 range of values for the "bill passing" will country C remain optimal.

a. To calculate the estimated costs for each country, we must divide the cost by the likelihood of the bill being approved or rejected. Each country's expected cost is computed as follows:

Country A: 0.4 * 260 + 0.6 * 210 = 244

Country B: 0.4 * 320 + 0.6 * 160 = 256

Country C: 0.4 * 240 + 0.6 * 240 = 240

Country D: 0.4 * 275 + 0.6 * 210 = 250

Since country C has the lowest expected cost of $240,000, East West should choose this country for manufacturing.

b. Part a solution will continue to stay optimal as long as the estimated cost for country C is less than the estimated cost for the other countries. This means that if the "bill passing" range is such that country C still has the lowest estimated cost, the solution will remain optimal. To evaluate this range, we can find the "break-even points," which are the points at which the expected costs for country C equal the expected costs for countries A and D. The following is how these break-even points are calculated:

BE (country A) = (210 - 240) / (260 - 210) = 0.375

BE (country D) = (210 - 240) / (275 - 210) = 0.33

This means that as long as the probability of the bill passing is between 0.33 and 0.375, the solution of choosing country C will remain optimal.

Read more about Cost Analysis from:

https://brainly.com/question/16909717

#SPJ4

The height of the juice container with a base area of 100cm² is 15 cm

Is the measure of the space occupied by a body bounded by an environment called perimeter, the same is expressed in units of squared side. Example: ft^2, m^2

The base area of a cylinder is given by:

base area = π*r²

base area = 100 cm^2

100 = π * r^2

r^2 = 100 / π

r = √(100 / π)

The volume of a cylinder is given by:

volume = π*r²*h

1500 = π * [√(100 / π)]^2 * h

1500 = π* (100 / π) * h

1500 = 100h

Clearing the variable (h) height we have:

h = 1500 / 100

h = 15 cm

Learn more about area at: brainly.com/question/11957651

#SPJ4

The radius, the arc length, and the central angle of the resulting circular sector is 13 cm

What is Radius?

A radius of a circle or sphere is any of the line segments connecting its center to its perimeter, and it is also their length in more recent usage. The term is derived from the Latin radius, which means both ray and spoke of a chariot wheel.

1) volume of the cone = 1/3[tex]\pi[/tex][tex]r^{2}[/tex]h

r = radius

h = height or depth

given, D = 10 cm

so r = 5 cm

v = 1/3*22/7*5*5*12

v = 100[tex]\pi[/tex]

2) for up to 6cm height

volume = ?

here in this triangle

triangle ΔAOC and ΔEDC are similar (have some shape as all three angle of both Δ are same

when two figure are similar the ratios of the length of their corresponding sides are equal

here,  ΔAOC and ΔEDC

so r = 2.5cm

so volume when cup is 6cm deep

v1 = 1/3[tex]\pi r^{2} h[/tex]

v1 = 1/3 *[tex]\pi[/tex]*2.5*2.5*6

v1 = 12.5[tex]\pi[/tex]

length = [tex]r^{2}+h^{2}[/tex] pythogonus theorem

length = 13cm

arc length = angle (in radius)*radius

2*[tex]\pi[/tex]*5

=10[tex]\pi[/tex]

centre angle = 10[tex]\pi[/tex]/13 radiance

= 10 * 180 Degree/13

=138.46 degree

To learn more about Radius visit:

brainly.com/question/30106091

#SPJ4

The probability that it is a false negative (test indicates the person does not have the disease when in fact they do) is 0.0348.

This probability indicates that the test's accuracy is 0. 0348; as the likelihood of this inaccuracy is minimal, the test is quite accurate.

The likelihood that a randomly chosen result will be a false negative, meaning that the test will show that the person does not have the condition while in fact they do:

[tex]P(NP|D) = \frac{4}{115} \\\\P(NP|D) = 0.0348[/tex]

We may infer that the occurrence is unlikely to occur and that the test is reasonably accurate because the probability is less than 0.0500.

Probability is simply the possibility that something will happen. When we don't know how something will turn out, we might talk about the possibility of one result or the likelihood of several. The study of occurrences that fit into a probability distribution is known as statistics.

Learn more about Probability:

https://brainly.com/question/19132782

#SPJ4

In the given triangle the length of the two sides of the triangle is equal hence the triangle is an isosceles triangle, and the angle is 120 degree hence the triangle is obtuse triangle.

An isosceles triangle is one with two equally sized sides. Also equal are the two angles that face the two equal sides. In other terms, an isosceles triangle is a triangle with two sides that are the same length.

If the sides AB and AC of a triangle ABC are equal, then the triangle ABC is an isosceles triangle with B = C. "If the two sides of a triangle are congruent, then the angle opposite to them is likewise congruent," states the theorem that characterizes the isosceles triangle.

In the given triangle the length of the two sides of the triangle is equal hence the triangle is an isosceles triangle, and the angle is 120 degree hence the triangle is obtuse triangle.

Learn more about isosceles triangle here:

https://brainly.com/question/15543200

#SPJ1

Answer:

150

Step-by-step explanation:

80% on time so 20% late, 30 late

30/20% = 150

From the line dot plot of 12 college students wages,

The Mean is $118.25

The Median is $118.

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

From the dot plot.

Weekly wages = 112, 113, 116, 116, 116, 118, 118, 119, 119, 124, 124, 124.

Now,

Mean = Sum of all the values / Number of values

= (112 + 113 + 116 + 116 + 116 + 118 + 118 + 119 +119 + 124 +124 +124) / 12

= 118.25

Median = Mid value from the wages.

= 118

Thus,

The Mean is $118.25

The Median is $118.

Learn more about mean here:

https://brainly.com/question/23263573

#SPJ1

If the height of a square pyramid remains fixed while its sides of the base is multiplied by 3, then the volume of the new pyramid is 108 cm³ (option C)

The volume of a square pyramid is given by:

V = A . h = a² . h

Where;

A = the area of the base = a²

h = height of the pyramid

a = sides of the base

In this problem,

V = 12 cm³

a² . h = 12   .... (equation 1)

Now, the sides of the base are multiplied by 3. Hence, the new volume will be:

V = (3a)² . h

  = 9 a² . h

from equation 1 we know that a² . h = 12. Hence,

V = 9 x 12 = 108 cm³

Learn more about pyramid here:

https://brainly.com/question/22744289

#SPJ4

Sales tax is added to the price.

From the question, we have the following parameters that can be used in our computation:

The statement is about sales tax

As a general rule

sales tax are added to the price of the item that is being bought

So, the complete statement is Sales tax is added to the price.

Read more about sales tax at

https://brainly.com/question/9437038

#SPJ1

A piecewise function which is shown on the graph include the following: A. piecewise function A.

In Mathematics, a graph can be defined as a type of chart that is typically used for the graphical representation of ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate (x-axis) and y-coordinate (y-axis) respectively.

Based on the graph shown above, we can evaluate the piecewise function based on the following domains (input values or independent values);

For the domain x ≤ -2, the value of y (y-value) is equal to 5. Additionally, for the domain -2 < x < 1,we can logically deduce that the function is a polynomial, which implies that it must have this ordered pair (0, -5):

For -2 < x < 1, when x is equal to 0 and y is equal to -5;

y = x² ± 5

For the domain x ≥ 1, we know that, when y is equal to 0, x would lie between 3 and 4;

y = 2^{x - 2} - 3

When y = 0, the value of x is given by:

0 = 2^{x - 2} - 3

2^{x - 2} = 3

x = 3.584.

Read more on a graph here: brainly.com/question/4546414

#SPJ1

Answer:

The answer is C. 32,568. Assuming that the gumballs are 1 inch in diameter and packed in a rectangular prism, each compartment can hold approximately 190% of the volume of the spheres. Therefore, each compartment can hold approximately 7,560 gumballs. Since there are 3 compartments per machine and 25 machines, the total number of gumballs that Raven ordered is 32,568.

Step-by-step explanation:

Solutions for the system of equations  2x −5y =1  , 4x −10y =3 has no solution as ( 2 /4 ) = (-5/-10) ≠ (1/3) .

Simplify the system of equations to get the solution of the system :

2x - 5y = 1

⇒ 2x = 1 + 5y

⇒ x = ( 1+ 5y ) / 2  __(1)

4x -10y = 3

⇒ 2 ( 2x - 5y ) = 3

⇒2x - 5y = 3/2  ___(2)

Standard form of the system of equations are :

a₁x + b₁y + c₁ = 0

a₂x + b₂y + c₂ = 0

Substitute the value of x from (1) into (2) we get,

2 ( 1 + 5y )/2  - 5y = 3/2

⇒1 + 5y -5y = 3/2

⇒1 = 3/2

⇒2 = 3 which is not true.

System of the equation has no solution.

Here, ( a₁ /a₂ ) = (b₁ /b₂) ≠ (c₁ /c₂ ) that is ( 2 /4 ) = (-5/-10) ≠ (1/3) .

Therefore, the system of equations has no solution.

Learn more about system of equations here

brainly.com/question/12895249

#SPJ4

The population mean (μ) is estimated to be: μ = 18 minutes

In this problem, we are given a sample of 81 people who waited in line for a rollercoaster at an amusement park. We are also given the sample mean (18 minutes) and the sample standard deviation (0.5 minutes).

To estimate the population mean (μ), we use the sample mean (18 minutes). Since the sample mean is a good estimate of the population mean, the estimated population mean (μ) is 18 minutes.

Learn more about population mean here

https://brainly.com/question/19538277

#SPJ4

The expected population mean () is: = 18 minutes.

Additionally, the sample mean (18 minutes) and sample standard variation are provided (0.5 minutes).

We use the sample mean to determine the population mean (). (18 minutes). The expected population mean () is 18 minutes because the sample mean is a reliable indicator of the population mean.

The conditions that must be met for the results of an ANOVA test to be reliable are Independence , Random Sampling , Large Sample Size and Normality .

The ANOVA (Analysis of Variance) is defined as a statistical method that is used to determine if there are significant differences among the means of two or more groups.

For the results of an ANOVA test to be reliable, the conditions that must be met are :

(i) Independence: The observations within each group should be independent of each other.

(ii) Normality: The data within each group should be approximately normally distributed.

(iii) Random Sampling: The samples within each group should be selected randomly from the population.

(iv) Large Sample Size: The sample size within each group should be large enough to provide a robust estimate of the population mean.

Learn more about ANOVA here

https://brainly.com/question/24157862

#SPJ4

Population - - > Sampling Frame - - > Sample - - > Individual being surveyed is the order from largest to smallest.

The population is the largest as they include all units or subject of interest in a particular study or experiment.

Next is the sampling frame which is the list or compilation of all subjects which can form part of a sample. It is a compilation of all elements in the population from which the sample can be drawn.

The sample is a subset of the population of population, usually selected at random and it is representative of the population.

The individual surveyed represents a single subject or observation from the chosen sample.

To know more about the sample and population:

https://brainly.com/question/24231564

#SPJ4

All the given options are paradoxical, and it's not possible to determine their truth value as they depend on their own veracity.

The statement "Exactly one of these statements is false" can be referred to as the liar paradox. It is a classic example of self-referential statements, where the truth of the statement depends on its own veracity.

In this paradox, if the statement is true, then it must be false, and if the statement is false, then it must be true. Hence, this statement creates a paradox and it's impossible to determine its truth value.

In the case of options (b), (c), and (d), it's also not possible to determine their truth value as they too depend on the truth value of the other statements, which are paradoxical.

Here you can learn more about paradoxical

https://brainly.com/question/29959030#

#SPJ11

The limit of the function [tex]\lim_{x \to9}[/tex]  [( x² - 81 ) / ( x - 9 ) ] is equal to 18.

[tex]\lim_{x \to9}[/tex] [( x² - 81 ) / ( x - 9 ) ]

Substitute the limit x tends to 9 in the function we have,

= ( 9² - 81 ) / ( 9 - 9 )

= ( 81 - 81 ) / 0

= 0 /0

0 /0 form is not defined term.

Simplify the function before substituting the limit we have,

[tex]\lim_{x \to9}[/tex] [( x² - 81 ) / ( x - 9 ) ]

= [tex]\lim_{x \to9}[/tex] [ ( x ² - 9² ) / ( x - 9 ) ]

= [tex]\lim_{x \to9}[/tex] [ ( x - 9 ) ( x + 9 ) / ( x - 9 ) ]

= [tex]\lim_{x \to9}[/tex] ( x + 9 )

= 9 + 9

= 18

Therefore, the value of the limit for the function [tex]\lim_{x \to9}[/tex] [( x² - 81 ) /( x - 9) ] is equal to 18.

The given question is incomplete, I answer the question in general according to my knowledge:

Find the following limit or state that it does not exist.

[tex]\lim_{x \to9} \frac{(x^{2} - 81)}{(x - 9)}[/tex].

Learn more about limit here

brainly.com/question/12207539

#SPJ4

The graph representing the inequality x ≥ 12 is with a closed and shaded circle to the left.

What is inequality ?

An inequality is an expression that shows the non-equal comparison of the two or more numbers and variables. A number line can be used to represent numbers put on regular intervals. A number line is sometimes   used to represent an inequality.

The height of the water slide is = 56 feet

The graph representing the inequality x ≥ 12 is shown on the number line begining from 12 with a closed and shaded circle.

Therefore, The graph representing the inequality x ≥ 12 is with a closed and shaded circle to the left.

To learn more about inequalities from given link

brainly.com/question/17675534

#SPJ1

The total number of Cheeseburgers will be 263.

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

Cheese burgers= x

Hamburgers= y

y-x= 62

x+y = 588

we add both the equations we get 2y = 650

y=650/2

y= 325

x = 588-325= 263

Hence, The total number of Cheeseburgers will be 263.

Learn more about equations, by the following link

brainly.com/question/2972832

#SPJ1

Answer: citizen scientists are already providing large amounts of data for monitoring biodiversity, but they could do much more, according to a new study published in the journal Biological Conservation, which suggests that citizen science has the potential to contribute much more to regional and global assessments of biodiversity. Citizen scientists are regular people who provide data or input to science, for example by monitoring species in their community or examining satellite imagery for evidence of deforestation or land use change.

Step-by-step explanation:

The solution of the expression in scientific notation is 1.5 * 10^-2

From the question, we have the following parameters that can be used in our computation:

6.0 * 10^4 / 4.0 * 10^8

Divide 6 by 4

So, we have

6.0 * 10^4 / 4.0 * 10^8 = 1.5 * 10^4/10^8

Evaluate the final quotient

6.0 * 10^4 / 4.0 * 10^8 = 1.5 * 10^-2

Hence, the solution is 1.5 * 10^-2

Read more about scientific notation at

https://brainly.com/question/27862246

#SPJ1

The surface area of the cone with a slant height of 8in and diameter of 10in is 204.1 in².

A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.

The surface area of a cone is expressed as;

A = πrl + πr²

Given that;

Plug the given values into the above formula and simplify

A = πrl + πr²

A = ( 3.14 × 5 × 8 ) + ( 3.14 × 5² )

A = 125.6 + 78.5

A = 204.1 in²

Therefore, the surface area is 204.1 in²

Option B) 204.1 in² is the correct answer.

Learn more about cones here: brainly.com/question/16645621

#SPJ1

The initial cost of the car was $15,000 and the rate of depreciation is 30%.

The equation [tex]15,000(0.7)^t[/tex] models the value of a car after t years. The value of the car after 0 years, or its initial cost, is [tex]15,000(0.7)^0[/tex] = 15,000. The rate of depreciation can be calculated as 1 - 0.7, which equals 0.3 or 30%. This means that each year, the value of the car decreases by 30% of its previous value. This model assumes a constant rate of depreciation, which may not always reflect real-world situations. However, it provides a simple estimate of the decline in value over time for this car.

Learn more about the rate of depreciation:

https://brainly.com/question/28785525

#SPJ4

The system has no solution, there is no particular solution x₀, and the general solution does not exist in this case.

The equation Ax = b, where A is a 3x3 matrix and b is a 3x1 column vector, represents a system of linear equations. To find all solutions of this system, we can either use Gaussian elimination or Cramer's rule.

In this case, A = [[2, -5, 3], [-2, 6, -5], [-4, 7, 0]] and b = [[-3], [4], [3]].

Using Gaussian elimination, we can transform the matrix A into its reduced row echelon form and then use back substitution to solve for the variables. The reduced row echelon form of A is:

[[1, 0, 1/2], [0, 1, -5/2], [0, 0, 0]]

Since the last row is all zeros except for the last entry, the system is inconsistent and has no solution.

Alternatively, we can use Cramer's rule to find the solution. The formula for Cramer's rule is:

x_i = det(A_i) / det(A), where A_i is the matrix A with the i th column replaced by the vector b.

In this case, det(A) = 0, so the system has no solution.

The general solution of this system of linear equations is the set of all linear combinations of the columns of A. If the system has a solution, the general solution can be expressed in the parametric vector form as:

x = x₀ + t₁ * v₁ + t₂ * v₂, where x₀ is a particular solution, v₁ and v₂ are the non-trivial solutions, and t₁ and t₂ are scalar parameters.

Since the system has no solution, there is no particular solution x_0, and the general solution does not exist in this case.

know more about linear equations here

https://brainly.com/question/11897796#

#SPJ11

Let's call the number of small stuffed animals sold "x" and the number of large stuffed animals sold "y".

We know that:

x + y = 27 (the total number of stuffed animals sold)

13x + 12y = 350 (the total amount of money Aya earned)

We can use these two equations to solve for x and y. To do this, we'll use substitution:

x + y = 27

x = 27 - y

Now, we'll substitute this expression for x into the second equation:

13(27 - y) + 12y = 350

351 - 13y + 12y = 350

351 = 350

This equation is true for all y, which means that we cannot solve for y using these two equations. We need more information to determine the number of small and large stuffed animals sold.

To learn more about stuffed animals please click on below link.

https://brainly.com/question/18591692

#SPJ4

x + y = 27 (the total amount of stuffed creatures sold) (the total number of stuffed animals sold)

These two formulae can be used to find the answers to x and y. We'll use replacement to accomplish this:

x + y = 27

x = 27 - y

We will now change x in the second equation to the following expression:

13(27 - y) + 12y = 350

351 - 13y + 12y = 350

351 = 350

The value of the digit 2 in the number 25.381 is 10 times greater than the value of the digit 2 in 52.

The correct option is A.

Place value, which is related to a digit's location in a number, is the amount that each digit is worth.

Given:

We have a decimal number 25.381.

From the given choices;

We have number 52.

In the number 52:

The place value of 2 is 2.

The value of the digit 2 in the number 25.381 is 10 times greater than the value of the digit 2 in 52.

Therefore, the number is 52.

To learn more about the place value;

https://brainly.com/question/27734142

#SPJ1

The complete question:

The value of the digit 2 in the number 25.381 is 10 times greater than the value of the digit 2 in which of the following numbers:

A) 52.

B) 25534.675

Answer:93000

—————————————-

The conversion of 150 pounds weight in kilograms 68.039.

What is meant by weight?

To learn more about weight refer to

https://brainly.com/question/86444

#SPJ4