14.
In the figure (not drawn to scale), MO bisects LMN, mZNMO = (6x +19), and m/LMO = (9x -
14). Solve for x and find ZLMN.
A. x= 11, m ZLMN = 198°
B. x= 11, m ZLMN = 170°
C. x=8, m D. x=8, m

The condition that ∣y′′(x)∣≤1.2847 for 0.46≤x≤0.505, the smallest possible value for ∣e18∣, which represents the error at x=0.505. The worst-case theoretical error can be approximated as 0.0025000 * 1.2847 = 0.00321175.

Euler's method is a numerical approximation technique that uses small step sizes to estimate the solution of an initial value problem. The theoretical error in the approximation can be determined by analyzing the local truncation error, which is the error introduced in a single step of the method.

In Euler's method, the local truncation error is proportional to the step size h and the second derivative of the solution. Since we know that ∣y′′(x)∣≤1.2847 for 0.46≤x≤0.505, we can use this information to estimate the worst-case theoretical error.

To find the smallest possible value for ∣e18∣, we need to determine the maximum value of the second derivative in the given interval. Since the maximum value of ∣y′′(x)∣ is 1.2847, the worst-case theoretical error at x=0.505 would be proportional to the step size h=0.0025000 and the maximum second derivative. Therefore, the worst-case theoretical error can be approximated as 0.0025000 * 1.2847 = 0.00321175.

Thus, the smallest value for ∣e18∣, accurate to six decimal places, is 0.003212.

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Answer:

22.5

Step-by-step explanation:

v flight getting in intend kitchen dandruff gtg bunny

Answer:

circumference = 2 π r

perimeter = 41.1 ,

Step-by-step explanation:

Answer:

slope means the bottom I think

Step-by-step explanation:

Answer:

x >= 4

Step-by-step explanation:

Multiply both sides by 2x+3

3x - 1 >= 2x + 3

-------------------------------------------------

Simplify

3x - 1 >= 2x + 3

3x >= 2x + 4

x >= 4

If the correlation coefficient r is -1.0, it means that there is a perfect negative linear relationship between X and Y.

a) As X scores increase, Y scores decrease in a perfectly consistent manner. The magnitude is strong.

b) If the correlation coefficient r is +0.32, it means that there is a positive linear relationship between X and Y, but it is a weak relationship. As X scores increase, Y scores tend to increase, but not in a perfectly consistent manner. The magnitude is weak.

c) If the correlation coefficient r is -0.10, it means that there is a weak negative linear relationship between X and Y. As X scores increase, Y scores tend to decrease, but not in a consistent manner. The magnitude is weak.

d) If the correlation coefficient r is -0.71, it means that there is a strong negative linear relationship between X and Y. As X scores increase, Y scores tend to decrease in a consistent manner. The magnitude is strong.

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a. Pair 2 is selected.

b. Respiratory system, its function is to breathe. Digestive system, its function is to break down food into nutrients.

c. The two systems work together by sharing the region of the mouth and upper throat.

First picture in Pair 2 is Respiratory system, which its function is to breathe. Second picture in Pair 2 is Digestive system, which its function is to break down food into nutrients such as carbohydrates, fats and proteins. The respiratory system takes in oxygen from the air, and also gets rid of carbon dioxide. The digestive system absorbs water and nutrients from the food we consume.

The respiratory system is mainly used to transport air, whilst the digestive system is used to transport fluids and solids, from water and food we eat. The respiratory and the digestive systems share the area of the mouth and upper throat, in which air, fluids, and solids can be mixed.

The digestive system does homeostasis by ensuring that the stomach area has the right pH balance. The body uses both positive and negative mechanisms to perform homeostasis. If the body detects an imbalance, the other systems work together to counterbalance and restore the right equilibrium.

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Answer:

8 doesn't go into 108n but 9 and 12 do.

Step-by-step explanation:

hope this helps! if i doesn't can u please clarify the question more and then i will help u

If you have to use 8 one time it if physically impossible, However if not you can do 6x6x3

The number of gallons of paint the hotel will need to buy is (b) 10 gallons

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

The composite figure of a pool

The surface area is calculated as

Surface Area = Rectangular Prism + Half Cylinder - Common Area

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

Surface Area = 2 * (10 * 10 + 10 * 50 + 50 * 10) + 22/7 * 2.5 * (2.5 + 4) - 5 * 4

Evaluate

Surface Area = 2231

For the number of gallons, we have

Gallons = 2231/200

Evaluate

Gallons = 11.2

The closest to this is 10

Hence, the number of gallons is 10

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Answer:

x>=9

Step-by-step explanation:

so, we can plot this on a number line

the point at 9 is a solid dot, since brackets (not parenthasis) indicates that we including the number. the shaded part of the line extends all the way to positive infinity. the shaded part means that it is a solution, while the un-shaded parts aren't solutions to [9,infinity) it is x>=9 and not x>9 because 9 is included.

x>=9 is the answer

Answer: 15

Step-by-step explanation:

From the question, we can infer from the information given that:

5 eclaires boxes = 1 free eclaires box.

Therefore, to get the number of eclaires boxes that the kids will get if they bring 77 eclaires boxes, we have to divide 77 by 5 and this will be:

= 77 / 5

= 15.4

= 15

The group of kids will receive 15 free boxes

Answer:

NO

Step-by-step explanation:

Substituting 2 in X do not bring (8,1)

Answer:

Hi

Step-by-step explanation:

Answer:

2 and 2/3 is the correct answer

C, x is greater than or equal to 2

Step-by-step explanation:

Both equations have X equaling to 2

Answer:

Step-by-step explanation:

Let's call the two numbers x and y. We know that:

x + y = 30 (since the sum of the two numbers is 30)

We want to find the values of x and y that maximize their product, which is given by:

P = xy

To solve for x and y, we can use the fact that the sum of the two numbers is 30, so we can rewrite one of the numbers in terms of the other:

y = 30 - x

Substituting this into the equation for the product, we get:

P = x(30 - x)

Expanding this expression, we get:

P = 30x - x^2

To find the maximum value of P, we can take the derivative of this expression with respect to x and set it equal to zero:

dP/dx = 30 - 2x = 0

Solving for x, we get:

x = 15

So one of the numbers is x = 15, and the other is y = 30 - x = 15.

To confirm that this gives the maximum product, we can take the second derivative of P with respect to x:

d2P/dx2 = -2

Since the second derivative is negative, this means that the function P = 30x - x^2 has a maximum at x = 15.

Therefore, the two numbers are 15 and 15, and their product is maximized at P = 15 * 15 = 225.

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Answer:

The 12 ounce cup

Step-by-step explanation:

Just divide the cup size with its price and the lowest number is the best deal

If the coefficient of correlation between x and y is close to 1.0, then it indicates that there is a strong, positive linear relationship between x and y. Correcr option is B

This means that there is a strong association between x and y, where increases in one variable lead to increases in the other, and vice versa. This does not necessarily imply a causal relationship between x and y, as the correlation can also be caused by a third variable. However, it does indicate that the two variables are linked. In contrast, if the coefficient of correlation is close to 0, then there is no relationship between x and y.

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Answer:

d

b

a

c

Step-by-step explanation:

degree 1 -  5x+5  -  d.

degree 2-    3x^2-2x+4-  b.

degree  3 -  1/2x^3+8x^2-3-    a.

degree 4 -  x^4+(x+4)^2- c

Answer:

i'm truly sorry for answering very late. here's your answer-

a factor is a number that can be divided into another number evenly. for example, the factors of 6 are 1, 2, 3, and 6.. it means that a number outside the parentheses of an addition problem can be multiplied by each number inside the parentheses. hope this helps<3

i wish you the best of luck :)

Answer:

2021... oop.

you can use factoring to create equivalent expressions

Step-by-step explanation:

To factor an expression, we use the distributive property to rewrite a sum as a product. The new expression is equivalent to the original expression. For example, we can factor the expression 20x+35 to get the equivalent expression 5(4x+7).

A quadratic trend model is suitable for graphing time series data that reverses direction, as the presence of the quadratic term enables the model to represent the curvature in the data accurately.

If a time series reverses direction, a quadratic trend model can capture the curvature of the trend. A quadratic trend model includes a squared term in addition to the linear term, allowing for a parabolic shape to be graphed. This means that the trendline will not be a straight line, but will have a curve that represents the direction of the trend.

If a time series reverses direction, using a quadratic trend model will help to accurately represent the trend over time with a curve that can be graphed. In a quadratic trend model, the equation consists of three components: a constant term, a linear term, and a quadratic term. The inclusion of the quadratic term allows the model to capture the curvature in the data, which is particularly useful when the time series changes direction.

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The statement "if a time series reverses direction, then a quadratic trend model will allow for the curvature to be graphed" is accurate. In a time series, if there is a reversal in the direction of the data points, it indicates a change in the underlying trend.

A quadratic trend model is useful in capturing this change because it includes a squared term that accounts for curvature in the data.

By incorporating the squared term, the model can graphically represent the curvature in the time series data.

For example, if we have a time series of stock prices and there is a reversal from a decreasing trend to an increasing trend, a quadratic trend model will be able to capture and display the curvature of this change.

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Answer: AB=12

Los triangulos BCD y ADE son iguales por tener dos lados y el angulo comprendido respectivamente iguales. por tanto AE=DC=4

Luego AB = AE+EB = 4+8 = 12

Answer:

a. Definition of segment Bisector

b. Line segment KM

c. Given

d. Definition of segment bisector

e. Reflexive property of congruence

f. SAS

g. CPCTC (Corresponding parts of congruent triangles are congruent)

Answer:

The probability that fewer than 60 false alarms are received is 0.0643.

Step-by-step explanation:

Let X denote the number of false alarms received at a certain fire station in a year.

The mean rate of false alarms in a day is 0.20.

Then the mean rate of false alarms in a year will be: \(365\times 0.20=73\).

Then the random variable X follows a Poisson distribution with parameter λ = 73.

The Poisson distribution with parameter λ, can be approximated by the Normal distribution, when λ is large.

If X follows Poisson (λ) and λ is large then the distribution of X can be approximated but he Normal distribution.

The mean of the approximated distribution of X is:

μ = λ

The standard deviation of the approximated distribution of X is:

σ = √λ

Thus, if λ is large, then X follows N (μ = λ, σ² = λ).

Compute the mean and standard deviation of X as follows:

\(\mu=\lambda=73\\\\\sigma=\sqrt{\lambda}=\sqrt{73}=8.544\)

Compute the probability that fewer than 60 false alarms are received as follows:

\(P(X<60)=P(\frac{X-\mu}{\sigma}<\frac{60-73}{8.544})\)

                  \(=P(Z<-1.52)\\\\=0.06426\\\\\approx 0.0643\)

Thus, the probability that fewer than 60 false alarms are received is 0.0643.

Answer:

26

Step-by-step explanation:

SORRY IF IM WRONG

She should use (b) x + 1 to represent her second number

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

As a general rule

Consecutive numbers are number that have a difference of 1 i.e both numbers are next to each other

Take for instance:

2 and 3, 5 and 6, 10 and 11 are all instances of consecutive numbers

Recall that she uses x to represent her first number

This means that the next number is

Next number = First number + 1

Substitute the known values in the above equation, so, we have the following representation

Next number = x + 1

Hence, the second number is (b) x + 1

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The potential function for the vector field\(F = (sec^{2} x, 3y^{2})\) is f(x, y) = \(tan(x) + y^{3}\).

To determine the potential function f such that the vector field  is \(F = (sec^{2} x, 3y^{2})\)conservative, we need to find f(x, y) that satisfies the condition ∇f = F.

Taking the partial derivatives of the potential function f(x, y) with respect to x and y, we get:

\(\partial f/\partial x = sec^{2}x\)

\(\partial f/\partial y = 3y^{2}\)

To find f(x, y), we integrate each partial derivative with respect to its respective variable:

\(\int\limits sec^{2}x dx = tan x + C(y)\)

\(\int\limits 3y^{2} dy = y^{3} + C(x)\)

Since f(x, y) is a potential function, it should be independent of the variable we integrate with respect to. Therefore, C(x) and C(y) must be constant functions.

From the above integrals, we obtain:

\(f(x, y) = tan x + C(y) = y^{3} + C(x)\)

To find the potential function, we equate the constant functions:

\(C(y) = y^{3} + C(x)\)

This equation implies that the constant functions C(y) and C(x) must be equal to the same constant value, let's call it C.

Therefore, the potential function f(x, y) is given by:

\(f(x, y) = tan x + y^{3}+ C\)

Now, comparing this potential function with the given options, we find that option (e) is the correct answer:

\(f(x, y) = tan x + y^{3}\)

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Answer:

The sum of the squares of any two consecutive even numbers is always a multiple of 2 and a multiple of 4.

Step-by-step explanation:

An even number can be defined as 2n, where n is an integer.

Therefore, the consecutive even number can be defined as 2n+2.

So the sum of their squares is:

\(\begin{aligned}(2n)^2+(2n+2)^2&=4n^2+(2n+2)(2n+2)\\&=4n^2+4n^2+4n+4n+4\\&=8n^2+8n+4\end{aligned}\)

Factor out 2 from each term:

\(\implies 8n^2+8n+4=2(4n^2+4n+2)\)

Therefore, the sum of the squares of any two consecutive even numbers is always a multiple of 2.

Factor out 4 from each term:

\(\implies 8n^2+8n+4=4(2n^2+2n+1)\)

Therefore, the sum of the squares of any two consecutive even numbers is always a multiple of 4.