Consider the initial value problem given below. dx
dt=3+tsin(tx)​, ​x(0)=0 Use the improved​ Euler's method with
tolerance to approximate the solution to this initial value problem
at t=0.

Answer:

99   (cm^2)

Step-by-step explanation:

Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.

The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).

One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.

Then, add the area of the three parts.

72+9*sqrt（19）/2+9*（6-sqrt（19））/2=99    (cm^2)

Answer: 23.1

Step-by-step explanation:

By the inscribed angle theorem, we know the measure of arc DC is 120 degrees. So, we can set 120=7x-42.

162 = 7x

x = 162/7, which is about 23.1

The expression which is equivalent to; 2x² - 2x + 7 as required in the task content is; 2 (x - 0.5)² + 6.5.

It follows from the task content that the expression which is equivalent to; 2x² - 2x + 7 is to be determined.

Therefore, since the expression whose equivalent is to be determined is; 2x² - 2x + 7; we have;

2x² - 2x + 7

By completing the square method; we have;

2(x² - x) + 7

2 {(x - 0.5)² - 0.25} + 7.

2 (x - 0.5)² - 0.5 + 7

2 (x - 0.5)² + 6.5

Therefore, the required expression which is equivalent to the given expression is; 2 (x - 0.5)² + 6.5.

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Answer:

see below

Step-by-step explanation:

The phrase "at least" indicates that you use the symbol ≥, so that's where they got the ≥ from. The amount of water needed for each bushel is 1/3 * f or 1/3f because you need 1/3 gallons of water per one bushel. We know that the amount of water needed is at least 1/3 gallons per bushel. Since the amount of water is w, "at least" is ≥ and 1/3 gallons per bushel is 1/3f, the inequality is w ≥ 1/3f. I hope this makes sense.

Answer:

I think they will match if they have a relationship so A. But, i also think it could be different it's like humans they aren't all the same. :)

Step-by-step explanation:

Those were my reasons and thats pretty much what you think or make it is what it is so best idea is to work it out. :)

Answer:

look at the picture i sent

Answer:

2/5

Step-by-step explanation:

To convert a percentage to a fraction, we divide the percentage by 100 and simplify the resulting fraction. For example, to convert 40% to a fraction, we divide 40 by 100 to get 0.4 and then simplify the fraction 2/5. Therefore, 40% is equal to 2/5.

Answer: f(120°) = (√3) + 1/2

Step-by-step explanation:

i will solve it with notable relations, because using a calculator is cutting steps.

f(120°) = 2*sin(120°) + cos(120°)

           =2*sin(90° + 30°) + cos(90° + 30°)

here we can use the relations

cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b)

sin(a + b) = cos(a)*sin(b) + cos(b)*sin(a)

then we have

f(120°) = 2*( cos(90°)*sin(30°) + cos(30°)*sin(90°)) +  cos(90°)*cos(30°) - sin(90°)*sin(30°)

and

cos(90°) = 0

sin(90°) = 1

cos(30°) = (√3)/2

sin(30°) = 1/2

We replace those values in the equation and get:

f(120°) = 2*( 0 +  (√3)/2) + 0 +  1/2 = (√3) + 1/2

Step-by-step explanation:

the domain is the interval or set of all valid input (x) values.

so, x goes through what values ?

we see, from left to right, it is coming from a limitless left (-infinity) and goes seemingly against x = 2 without ever reaching that value.

so, the domain is

-infinity < x < 2

Answer:

A)Let's let M = the number of Multiple choice problems and

N = the number of essay questions.

B)Also, since there are 36 questions altogether, we can say that

M + N = 36

So, therefore

M = 36 - N

Step-by-step explanation:

Hope this helped I couldn’t get C very confusing.

Answer:

451.7in^2

Step-by-step explanation:

You first need to determine the radius of the circle. This can be done by taking the circumference and dividing it by 2pi:

\(r=\frac{75.36in}{2\pi } = 11.99 in\)

Now that you have the radius, you can plug it into the formula for the area of a circle (this is assuming the pizza is perfectly round):

\(A=\pi r^2=\pi (11.99^2)=451.7in^2\)

The area that covers the circular pizza is: 451.64 in.²

Area = πr²

Perimeter = 2πr, where r is the radius of the circle.

Given the following:

Perimeter of the circular pizza = 75.36 in.

Find the radius:

2πr = 75.36

r = 75.36/2π

r = 11.99 in.

Find the area:

Area = π(11.99)²

Area = 451.64 in.²

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Answer:

d

Step-by-step explanationnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

Answer :

Option B

Step by step explanation :

As we can see in figure, Triangle is right angled at A

In ∆ABC

By Pythagoras theorem,

BC² = AC² + AB²

=> BC² = (3)² + (4)²

=> BC² = 9 + 16

=> BC² = 25

=> BC = 5 cm

We know,

\(\:\mathsf{Area \:of\: triangle}\)=\(\:\mathsf{\frac{1}{2}\: x\: base\: x\: height}\)

Here,

base = AC = 3cm

height = AB = 4cm

=> \(\:\mathsf{Area \:of\: triangle}\)=\(\:\mathsf{\frac{1}{2} \:x\: 3cm\: x\:4cm}\)

=> \(\:\mathsf{Area \:of\: triangle\: = \:3cm\: x\: 2cm}\)

=> \(\:\bf\boxed{Area \:of\: triangle\: = \:6cm²}\)

As BC = DE

And then BD = EC

it shows the property of rectangle

So BD = 6 cm

Now,

\(\:\mathsf{Area \:of\: rectangle\: =\: length \:x\: width}\)

=> Area of rectangle = 6cm x 5cm

=> \(\:\bf\boxed{Area\: of\: rectangle\: = \:30cm²}\)

Now,

Area of the figure = Area of rectangle + Area of triangle

=> Area of the figure = 30cm² + 6cm²

=> \(\:\bf\boxed{Area\: of\: the\: figure\: = \:36cm²}\)

Therefore, option B is the correct answer for this question.

Answer:

84 m²

Step-by-step explanation:

Solving : (Formula mentioned in question)

Finding area of base using Heron's Formula :

⇒ s = 5 + 4 + 3 / 2 = 12/2 = 6

⇒ s - a = 6 - 5 = 1

⇒ s - b = 6 - 4 = 2

⇒ s - c = 6 - 3 = 3

⇒ Area = √6 × 1 × 2 × 3

⇒ Area = √36 = 6 m²

Finding the Surface Area :

⇒ 2 × 6 + 12 × 6

⇒ 12 + 72

⇒ 84 m²

Triangular Prism with base lengths 3 m, 4 m, 5 m, and a height of 6m. What is the surface area?

Solution:

So the Surface area is 84cm²

Part A:What is the probability of getting a red jellybean on the first draw?

Given information: Red jellybeans = 12  Yellow jellybeans = 8  Green jellybeans = 4   Total jellybeans = 24                           The probability of getting a red jellybean on the first draw is:

Probability of getting a red jellybean=Number of red jellybeans/Total jellybeans=12/24=1/2=0.5

Decimal: P(1st Red)=0.5 Percent: P(1 st Red )=50%

Part B: Let's say you did get a red jellybean on the first draw.

What is the probability that you will then get a green on the second draw?

Now, the total number of jellybeans is 23, since one red jellybean has been taken out. The probability of getting a green jellybean is: Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174 Decimal: P(2nd Green | 1st Red )=0.174 Percent: P(2nd Green | 1st Red )=17%

Part C: If you had gotten a yellow on the first draw, would your answer to Part B be different?

Yes, because there is only 1 rotten egg yellow jellybean and if it were chosen in the first draw, it would not be returned back to the container. Therefore, the total number of jellybeans would be 23 for the second draw, and the probability of getting a green jellybean would be:

Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174

Thus, the answer would be the same as Part B.

Part D: What is the conditional probability of the dependent event "red then green?"

Given that one red jellybean and one green jellybean are selected: Probability of the first jellybean being red is 1/2

Probability of the second jellybean being green given that the first jellybean is red is 4/23

Probability of "red then green" is calculated as follows: Probability of red then green=P(Red) × P(Green|Red)= 1/2 × 4/23 = 2/23  Decimal: P(1st Red and 2nd Green )=2/23  Percent: P(1st Red and 2nd Green )=8.70%

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The equation in the said case is 10x + 5 = 35

Tickets bought = 10

Parking fee paid = $5

Money spent on seeing the show = $35

Determining the equation in the given case -

10x + 5 = 35

Where x is the cost of each ticket, and 10x represents the total cost of the tickets.

The equation states that the total cost of the tickets which is 10x plus the cost of the parking fee which is $5 is equal to the total amount spent by Kate which will be 35$.

This equation can be further used to find the cost of each ticket by isolating x:

10x + 5 = 35

10x = 30

x = 3

Therefore, each ticket cost $3.

Complete Question:

kate buys 10 tickets to the show. She also pays a 5$ parking fee. she spent $35 to see the show. What equation is this

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Answer:

a) 12

Step-by-step explanation:

Given that,

→ p = -24

→ q = 4

The equation is,

→ 2p/-q

Let's solve the problem,

→ 2p/-q

→ 2(-24)/-4

→ -48/-4

→ 48/4 = 12

Hence, the answer is 12.

a. Consider the following hypothetical system of simultaneous equations in which the Y variables are endogenous and X variables are predetermined: (19.3, 2) (19.3.3) (19.3.4) (19.3.5)

The equation is identified because there are the same number of endogenous variables and predetermined variables. This is a just-identified system.

b. To validate your answer in (a) for equation 19.32, use the rank condition of identification. The rank of the [X'Z] matrix is 3, which is equal to the number of endogenous variables in the equation. As a result, the equation is identified.

c. This can be achieved by comparing the number of endogenous variables in the equation to the number of predetermined variables. Since there are fewer predetermined variables than endogenous variables, equation 19.32 is endogenous. Z.

a. Construct a "bogus" or "mongrel" equation and determine whether the two equations are identified or over-identified. Consider the following:

b. A two-stage least squares regression can be used to estimate the identified system. It's possible to use a two-stage least squares regression since there are no endogenous right-hand side variables in this system.

c. You may use weighted least squares regression when there are no endogenous variables on the right-hand side of any equation in the model. If any equation contains an endogenous variable, the two-stage least squares method should be used.

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37.40 is  large a sample should you take in confidence interval.

What does confidence interval mean?

For the 95% confident interval of population mean , the margin of error (ME)

       ME = Z 1 - 0.05/2 5/√n

           2 = 1.96 * 6.24/√n

          n = ( 1.94 * 6.24/2)²

           n = 37.40

the required sample size (n) is 38 .

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Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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The coordinates of the 3 respective points from the given parameters are; (6, -2); (-1, 1); (2, 6)

1) The coordinates of the point located 5/6 of the way from A to B is;

x = ⁵/₆(7 - 1) + 1

x = 6

y = ⁵/₆(-4 - 8) + 8

y = -2

x, y = (6, -2)

2) The coordinates of the point located ¹/₄ of the way from A to B is;

x = -3 + ¹/₄(5 - (-3))

x = -1

y = 0 + ¹/₄(4 - 0)

y = 1

x, y = (-1, 1)

3) The coordinates of the point located ¹/₆ of the way from A to B is;

x = ¹/₆(7 - 1) + 1

x = 2

y = ¹/₆(-4 - 8) + 8

y = 6

x, y = (2, 6)

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*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 7 km

Explanation:

3.5 x 2 = 7

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Step-by-step explanation:

Lets x be the distance for the marathon.

Given,

\( \frac{1}{2} x = 3.5km\)

\(x = 3.5 \div \frac{1}{2} \\ = 3.5 \times 2 \\ = 7km\)

Answer:

The answer is

\(4 \frac{4}{5} \)

Explanation:

\( \frac{2 \frac{4}{5} \: miles}{ \frac{7}{12 \:} of \: an \: hour} = \frac{x}{1 \: hour} \\ \\ \frac{ \frac{7}{12}x }{ \frac{7}{12} } = \frac{2 \frac{4}{5} }{ \frac{7}{12} } \\ \\ x = 4 \frac{4}{5} \)

the first term of arithmetic sequence is 4. We know that nth term of arithmetic sequence is given by Tn = a + (n-1) d, Where, Tn = nth term a = first term d = common difference.

Given :

Tenth term = 73 / 2 and Second term = 9 / 2

We know that nth term of arithmetic sequence is given by Tn = a + (n-1) d,

Where, Tn = nth term a = first term d = common difference

Let's find the common difference:73/2 = a + 9d  ... (i)9/2 = a + d  ... (ii)

By solving equation (i) and (ii) ,we can find the value of a

Let's subtract equation (ii) from equation (i)73/2 - 9/2 = 8da = 32/8 = 4

Hence, the first term of arithmetic sequence is 4.

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The measure of the inscribed angle is equal to 90 degrees

The inscribed angle theorem mentions that the angle inscribed inside a circle is always half the measure of the central angle or the intercepted arc that shares the endpoints of the inscribed angle's sides. In a circle, the angle formed by two chords with the common endpoints of a circle is called an inscribed angle and the common endpoint is considered as the vertex of the angle.

In this problem, the side length of the square is 5 which forms 90 degrees to all the other sides.

The measure of the circumscribed angle is 90 degree

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Answer:

480 Cubic inches

Step-by-step explanation:

Length:Breadth:Height = 5:4:3.

Let the Length of the Tin =5x

Breadth of the Tin =4x

Since the bottom area of the tin is 80 square inches.

\(5x \times 4x=80\\20x^2=80\\x^2=4\\x=2\)

Therefore:

Length of the Tin =5 X 2 =10 inches

Breadth of the Tin =4 X 2 =8 Inches

Height of the Tin =3 X 2=6 Inches

Volume of the Tin = Length X Breadth X Height

=10 X 8 X 6

=480 Cubic inches

The derivative of of f(x) = 10 is 0

The derivative of a function is the measure of the rate of change of the function. They are fundamental to the solution of problems in calculus and differential equations.

Here the function is not changing as 10 is a constant. So, if f(x) = c where c is a constant then f'(x) = 0 as the derivative of a constant is always zero.

Mathematically:

           d(f(x))/dx = \(\lim_{h \to 0}\) (f(x+h) - f(x))/h

There  is no x to substitute for x + h so no difference is noticed:

             \(\lim_{h \to 0}\) (f(x+h) - f(x))/h =   \(\lim_{h \to 0}\) (10 - 10)/h = 0

Hence, the derivative of f(x) = 10 is 0

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a) The 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b) The 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

To calculate the confidence intervals for the population proportion, we can use the formula:

Confidence Interval = sample proportion ± margin of error

The margin of error can be calculated using the formula:

Margin of Error = critical value * standard error

where the critical value is determined based on the desired confidence level and the standard error is calculated as:

Standard Error = \(\sqrt{((p * (1 - p)) / n)}\)

Given that the sample proportion (p) is 0.81 and the sample size (n) is 500, we can calculate the confidence intervals.

a. 90% Confidence Interval:

To find the critical value for a 90% confidence interval, we need to determine the z-score associated with the desired confidence level. The z-score can be found using a standard normal distribution table or calculator. For a 90% confidence level, the critical value is approximately 1.645.

Margin of Error = \(1.645 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0323

Confidence Interval = 0.81 ± 0.0323

≈ (0.7777, 0.8423)

Therefore, the 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b. 95% Confidence Interval:

For a 95% confidence level, the critical value is approximately 1.96.

Margin of Error = \(1.96 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0363

Confidence Interval = 0.81 ± 0.0363

≈ (0.7737, 0.8463)

Thus, the 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

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