NEED HELP ASAP A field's length is 9 meters 40 centimeters. What is the length of the field in millimeters? A)9.24 mm B)940 mm C)9,400 mm D)94,000 mm

Answer:

Graph b.

Step-by-step explanation:

B is not a function because it fails the vertical line test.
To be a function any vertical line drawn must pass through the graph at one point only. That is not true for graph B - a line can pass through 2 points on this graph.

Answer: 160

Step-by-step explanation:

David & Ahmed have the same amount since they both have 4, Tina has half of both of them. 80+80 = 160

This code will print the test statistic for the variance test statistic is 17.99.

The test statistic for the hypothesis test is the ratio of the sample variances, s1^2 / s2^2. In this case, the sample variances are 35^2 / 24^2 = 17.99. The p-value for this test statistic is very small, so we can reject the null hypothesis and conclude that the variance has been reduced.

**The code to calculate the above:**

```python

import math

def test_statistic(s1, s2):

 """Returns the test statistic for the variance test."""

 return s1 ** 2 / s2 ** 2

s1 = 35 ** 2

s2 = 24 ** 2

t = test_statistic(s1, s2)

print(f"The test statistic is {t:.2f}")

Therefore,  the variance test statistic is 17.99.

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The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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The median of the given set of numbers is -13.5.

To find the median of a set of numbers, you need to arrange them in ascending order and then determine the middle value. If there is an even number of values, the median is the average of the two middle values.

Let's arrange the numbers in ascending order:

-18, -18, -14, -13, 12, 13, 14, 16

The set has 8 elements, so it has an even number of values. The middle two values are -14 and -13. To find the median, we take the average of these two values:

Median = (-14 + -13) / 2 = -27 / 2 = -13.5

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Adjust the parameters as needed, such as the step size (h) and the final x-value (xn), and run the code to obtain the solution for y(x).

The resulting plot will show the solution curve.

To solve the given set of differential equations using the Runge-Kutta method in MATLAB, we need to convert the second-order differential equations into a system of first-order differential equations.

Let's define new variables:

y = y(x)

z = dz/dx

Now, we have the following system of first-order differential equations:

dy/dx = z (1)

dz/dx = -k/(2y) (2)

To apply the Runge-Kutta method, we need to discretize the domain of x. Let's assume a step size h for the discretization. We'll start at x = 0 and proceed until x = infinite.

The general formula for the fourth-order Runge-Kutta method is as follows:

k₁ = h f(xn, yn, zn)

k₂ = h f(xn + h/2, yn + k₁/2, zn + l₁/2)

k₃ = h f(xn + h/2, yn + k₂/2, zn + l₂/2)

k₄ = h f(xn + h, yn + k₃, zn + l₃)

yn+1 = yn + (k₁ + 2k₂ + 2k₃ + k₄)/6

zn+1 = zn + (l₁ + 2l₂ + 2l₃ + l₄)/6

where f(x, y, z) represents the right-hand side of equations (1) and (2).

We can now write the MATLAB code to solve the differential equations using the Runge-Kutta method:

function [x, y, z] = rungeKuttaMethod()

   % Parameters

   k = 1;              % Constant k

   h = 0.01;           % Step size

   x0 = 0;             % Initial x

   xn = 10;            % Final x (adjust as needed)

   n = (xn - x0) / h;  % Number of steps

   % Initialize arrays

   x = zeros(1, n+1);

   y = zeros(1, n+1);

   z = zeros(1, n+1);

   % Initial conditions

   x(1) = x0;

   y(1) = 0;

   z(1) = 0;

   % Runge-Kutta method

   for i = 1:n

       k1 = h * f(x(i), y(i), z(i));

       l1 = h * g(x(i), y(i));

       k2 = h * f(x(i) + h/2, y(i) + k1/2, z(i) + l1/2);

       l2 = h * g(x(i) + h/2, y(i) + k1/2);

       k3 = h * f(x(i) + h/2, y(i) + k2/2, z(i) + l2/2);

       l3 = h * g(x(i) + h/2, y(i) + k2/2);

       k4 = h * f(x(i) + h, y(i) + k3, z(i) + l3);

       l4 = h * g(x(i) + h, y(i) + k3);

       y(i+1) = y(i) + (k1 + 2*k2 + 2*k3 + k4) / 6;

       z(i+1) = z(i) + (l1 + 2*l2 + 2*l3 + l4) / 6;

       x(i+1) = x(i) + h;

   end

   % Plotting

   plot(x, y);

   xlabel('x');

   ylabel('y');

   title('Solution y(x)');

end

function dydx = f(x, y, z)

   dydx = z;

end

function dzdx = g(x, y)

   dzdx = -k / (2*y);

end

% Call the function to solve the differential equations

[x, y, z] = rungeKuttaMethod();

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(a) The firm's output supply function is given by q = (p + 199) / 2.

(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.

(c) Each firm sells 70 computers in the long run.

(39 - 0.009q) = (2q - 2) / q

Simplifying the equation, we find:

q = (p + 199) / 2

This represents the firm's output supply function.

p = 39 - 0.009((p + 199) / 2)

Simplifying and solving for p, we get:

p ≈ $32.56

Substituting this price back into the output supply function, we find:

q = (32.56 + 199) / 2 ≈ 115.78

Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:

Number of firms = q / 70 ≈ 10

70 * 10 = 700

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Answer:

Yes that is true

Step-by-step explanation:

all answer is correct

Answer:

yes all are correct

Step-by-step explanation:

hoped that helped

Answer:

22. \(\frac{1}{2} (2x-2)(4x+2)\)

23. \((x-3)(x^2+8x-2)\)

Answer:

x = 6.4

Step-by-step explanation:

Set up using proportion and cross multiply to solve:

8/10 = x/8

x = 6.4

The perimeter of the triangle is 6 + 4√13

Let's denote the length of the congruent sides of the isosceles triangle as x.

The formula for the area of a triangle is A = (1/2)bh, where b is the base and h is the height.

So, we have

A = (1/2)bh

12 = (1/2)(6)(h)

h = 4

Now, using the Pythagorean theorem, we can solve for the length of the congruent sides:

x^2 = 6^2 + 4^2

x^2 = 52

x = √52

The perimeter of the triangle is the sum of the lengths of its sides:

P = 6 + √52 + √52

P = 6 + 2√52

So, we have

P = 6 + 4√13

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Answer:

18 miles per gallon

90/5=18

Step-by-step explanation:

Answer:

18 miles per gallon of gas

Step-by-step explanation:

because \(18*5=90\)

The curve of the given vector equation is shown below: It can be seen that the arrow points towards the positive x-axis, which is in the direction of increasing t.

To sketch curve of the given vector equation, r(t) = < t , 2 - t , 2t >, and indicate with an arrow the direction in which t increases, we need to follow some steps.

Step 1: Create a table for the vector. We need to create a table and fill in the values for t, x, y, and z. Let's do it below:

\(tt (time)xx (position)x(t)x(t)(2−t)(2−t)2t2t\)

Step 2: Plotting the points. We can plot the points by simply taking the x, y and z values from the table created above. The curve will pass through these points. The curve will be three-dimensional.

Step 3: Indicate the direction of t. To indicate the direction of t, we use an arrow on the curve. The arrow is drawn such that it starts from the initial point and points in the direction in which the parameter (in this case, t) increases. In this problem, since t increases in a positive direction, we take the arrow pointing towards the positive x-axis.

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95 mph is approximately equal to 42.509 m/s.

To convert 95 mph (miles per hour) to m/s (meters per second), we can use the conversion factor:

1 mile = 1609 meters

To convert miles per hour to meters per second, we need to divide the value in miles per hour by the conversion factor and then multiply by the conversion factor for time:

95 mph * (1609 meters/1 mile) * (1 hour/3600 seconds)

Simplifying the units:

(95 * 1609) meters / (1 * 3600) seconds

Calculating the value:

95 * 1609 / 3600 ≈ 42.509 m/s

Therefore, 95 mph is approximately equal to 42.509 m/s.

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Answer:The following what

Step-by-step explanation:

what is the following and there is no questions.

Answer:

The inverse is  -1/7(x+4)

Step-by-step explanation:

We have the function

y = -7x-4

To find the inverse, exchange x and y

x = -7y -4

Solve for y

Add 4 to each side

x+4 = -7y -4+4

x+4 = -7y

Divide each side by -7

-1/7(x+4) = -7y/-7

-1/7(x+4) = y

The inverse is  -1/7(x+4)

Based on the information provided, if the scientists produce a p-value of 0.02 and reject their null hypothesis at a desired Type I error rate of 0.05, they could be making a Type I error.

Type I error, also known as a false positive, occurs when the null hypothesis is true, but it is mistakenly rejected based on the statistical analysis. The p-value represents the probability of obtaining a result as extreme as the observed data, assuming the null hypothesis is true. In this case, the p-value of 0.02 indicates that there is a 2% chance of observing such an extreme result if the null hypothesis were true.

By setting a Type I error rate of 0.05, the scientists have predetermined that they are willing to accept a 5% chance of making a Type I error in their hypothesis testing. If the p-value is less than or equal to the significance level (0.05), it falls into the critical region, leading to the rejection of the null hypothesis.

Therefore, since the scientists reject the null hypothesis based on the p-value of 0.02, which is less than the significance level of 0.05, they are choosing to reject the null hypothesis despite the possibility of it being true. This decision incurs a risk of a Type I error, where they conclude that there is a significant effect or difference when, in reality, there may not be one in the population being studied.

However, it's important to note that the possibility of a Type I error does not provide direct evidence that a Type I error has actually occurred. It only suggests that the scientists might be committing a Type I error by rejecting the null hypothesis.

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The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

To determine the critical path of the project, we need to find the longest path of activities that must be completed in order to finish the project on time. This is done by calculating the earliest start time (ES) and earliest finish time (EF) for each activity.

Starting with activity A, ES = 0 and EF = 4. Activity B can start immediately after A is complete, so ES = 4 and EF = 7. Activity C can start after A is complete, so ES = 4 and EF = 6. Activity D can start after B is complete, so ES = 7 and EF = 9. Finally, activity E can start after C and D are complete, so ES = 9 and EF = 11.

The variance for each activity is also given, which allows us to calculate the standard deviation and determine the probability of completing the project on time. The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

Using the expected durations and variances, we can calculate the standard deviation of the critical path. This information can be used to determine the probability of completing the project on time.

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Answer:

We can use the double angle formulas to find sin(2θ) and cos(2θ):

sin(2θ) = 2sin(θ)cos(θ)

cos(2θ) = cos^2(θ) - sin^2(θ)

Since sin(θ) = -4/5 and θ is in the third quadrant (π < θ < 3π/2), we can use the Pythagorean identity to find cos(θ):

sin^2(θ) + cos^2(θ) = 1

cos^2(θ) = 1 - sin^2(θ)

cos(θ) = -√(1 - sin^2(θ))

cos(θ) = -√(1 - (-4/5)^2) = -√(1 - 16/25) = -√(9/25) = -3/5

Now we can substitute these values into the double angle formulas:

sin(2θ) = 2sin(θ)cos(θ) = 2(-4/5)(-3/5) = 24/25

cos(2θ) = cos^2(θ) - sin^2(θ) = (-3/5)^2 - (-4/5)^2 = 9/25 - 16/25 = -7/25

Therefore, the exact values of sin(2θ) and cos(2θ) are sin(2θ) = 24/25 and cos(2θ) = -7/25, respectively.

Finally, we can find the value of sin^2(2θ)cos^2(2θ):

sin^2(2θ)cos^2(2θ) = (sin(2θ))^2(cos(2θ))^2

sin^2(2θ)cos^2(2θ) = (24/25)^2(-7/25)^2

sin^2(2θ)cos^2(2θ) = 24^2/25^2 * 7^2/25^2

sin^2(2θ)cos^2(2θ) = (24*7)^2/25^4

Therefore, the exact value of sin^2(2θ)cos^2(2θ) is (24*7)^2/25^4.

The particular solution to the non-homogeneous equation is:

y_p(x) = [(3/2)*ln(x)*cos(x) + (3/2)sin(x)/x + C1](x^(1/2)*sin(x) - (1/2)*x^(1/2)*cos(x)) - [(3/2)*ln(x)*sin(x) - (3/2)cos(x)/x + C2](x^(1/2)*cos(x) + (1/2)*x^(1/2)*sin(x))

To use the method of variation of parameters, we first need to find the general solution to the homogeneous equation:

x^2y'' + xy' + (x^2 - 0.25)y = 0

We assume a solution of the form y = e^(r*x), then substitute this into the equation and get the characteristic equation:

r^2 + r - 1/4 = 0

Solving for r gives us r = (-1 ± sqrt(5))/2. Thus, the general solution to the homogeneous equation is:

y_h(x) = c1*x^(1/2)sin(x) + c2x^(1/2)*cos(x)

To find a particular solution to the non-homogeneous equation, we assume a solution of the form:

y_p(x) = u(x)*y1(x) + v(x)*y2(x)

where y1(x) and y2(x) are the two linearly independent solutions to the homogeneous equation, and u(x) and v(x) are functions to be determined.

We can calculate the first and second derivatives of y_p(x) as:

y_p'(x) = u'(x)*y1(x) + v'(x)*y2(x) + u(x)*y1'(x) + v(x)*y2'(x)

y_p''(x) = u''(x)*y1(x) + v''(x)y2(x) + 2u'(x)y1'(x) + 2v'(x)*y2'(x) + u(x)*y1''(x) + v(x)*y2''(x)

Substituting y_p(x), y_p'(x), and y_p''(x) into the non-homogeneous equation and simplifying, we get:

u'(x)*x^(3/2)*sin(x) + v'(x)*x^(3/2)*cos(x) = 3x^(3/2)*sin(x)

Solving for u'(x) and v'(x), we get:

u'(x) = 3cos(x)/(2x) and v'(x) = -3sin(x)/(2x)

Integrating both sides, we get:

u(x) = (3/2)*ln(x)*cos(x) + (3/2)*sin(x)/x + C1

v(x) = (-3/2)*ln(x)*sin(x) + (3/2)*cos(x)/x + C2

where C1 and C2 are constants of integration.

Therefore, the particular solution to equation is:

y_p(x) = [(3/2)*ln(x)*cos(x) + (3/2)sin(x)/x + C1](x^(1/2)*sin(x) - (1/2)*x^(1/2)*cos(x)) - [(3/2)*ln(x)*sin(x) - (3/2)cos(x)/x + C2](x^(1/2)*cos(x) + (1/2)*x^(1/2)*sin(x))

where C1 and C2 are constants of integration.

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Given the equation,

Complete squares as shown below,

Thus,

Similarly,

Therefore,

Finally, the standard form is.

As for the vertices, foci, and asymptotes,

Foci: (-1,-1/2), (9,-1/2)

Vertices

Vertices: (8,-1/2), (0,-1/2)

Asymptotes:

Asymptotes: y=3x/4-7/2 and y=-3x/4+5/2

The length should be x ≥ 3 inch and 4x ≥ 12 square inches.

The mathematical expression for inequality states that neither side is equal. In mathematics, inequality occurs when the relationship results in a non-equal comparison between two expressions or numbers. Any of the inequality symbols, such as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠), can take the place of the equal sign "=" in this expression. Polynomial inequality, rational inequality, and absolute value inequality are the various kinds of mathematical inequalities.

Given a rectangle, length  = 4 inches

area is at least 12 square inches

inequality equation for area

A ≥ 12

area  = l x b

where l = length = 4 inches and b = breadth = x

A ≥ 12

4x ≥ 12

x ≥ 3 inches

Hence the breadth should be x ≥ 3 inches and equation of area is

4x ≥ 12 square inches.

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The complete question is,

Kendra is drawing a rectangle. The length will be 4 inches, and the area will be at least 12 square inches. Let x represent the width of the rectangle. Which inequality describes the problem?

The only true statement is "the orange 3 on the right is 1/10 of the value of the blue 3 on the left"

This question bothers on place values.

Given the decimal value 89.033, the place value of the blue 3 on the left is the hundredth place (1/100) while the place value of the orange 3 is in the thousandth place(1/1000).

We need to check which of the statement is correct.

For the first option, the blue 3 on the left is 300 times the value of the orange 3 on the right;

Since 0.01≠0.3, hence the first option is wrong

For the second option, the blue 3 on the left is 100 times the value of the orange 3 on the right;

0.01≠0.1, hence the second option is wrong.

The blue 3 on the left is equivalent to the orange 3 on the right is also wrong since they are positioned in a different place

The orange 3 on the right is 1/10 of the value of the blue 3 on the left, is expressed as;

Hence the only true statement is "the orange 3 on the right is 1/10 of the value of the blue 3 on the left"

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Answer: 360  your multiplying 40x9=360.

Step-by-step explanation:

Answer:

x=4.4t

Step-by-step explanation:

you have to divide to find a constant rate

so  40/99 equals 4.4

natalie can paint 4.4 square feet every minute

x being constant and 4.4 equals that times time and thats the equation

Answer:

The answer would be team D as their range is 24.

Step-by-step explanation:

Team A: range of 27

Team B: Range of 32

Team C: Range of 27

Team D: Range of 24

Team D has the lowest range found by subtracting the larger number 46 by the smaller number 22.

24 different ways can they line up to receive their championship rings.

What is a permutation mean in math?

What are permutations used for?

Given,

            No. of captains of the football team = 4

So,

         4 ways we can line up  their championship rings = (4,4)

                  4 ×3 ×2 ×1  = 24

Therefore, 24 different ways can they line up to receive their championship rings.

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Answer:

huh I don't understand

Answer:(that was a joke)

1.) acute

2.) right

3.) obtuse

4.) acute

5.) obtuse

6.) right

Step-by-step explanation:

if hes doing advanced stuff like isosceles equilateral and that then im sorry for the answer.

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

WHat is Divisibility?

Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3

To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.

Base Case:

When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.

Inductive Step:

Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.

We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.

Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

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