Please help me I dont really understand
(this is 12 year old math)
​

Using Euler's Method with a step size of h = 0.1, the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 are:

t = 0.1: y ≈ 1.1

t = 0.2: y ≈ 1.22

t = 0.3: y ≈ 1.34

t = 0.4: y ≈ 1.47

t = 0.5: y ≈ 1.61

To use Euler's Method, we start with an initial condition. In this case, the given initial condition is y(0) = 1. We can then iteratively calculate the approximate values of the solution at each desired time point using the formula:

Yn = Yn-1 + h * F(Xn-1, Yn-1)

Here, h represents the step size (0.1 in this case), Xn-1 is the previous time point (t = Xn-1), Yn-1 is the solution value at the previous time point, and F(Xn-1, Yn-1) represents the derivative of the solution function.

For the given differential equation +2y = 2 - ey, we can rearrange it to the form y' = (2 - ey) / 2. The derivative function F(Xn-1, Yn-1) is then (2 - eYn-1) / 2.

Using the initial condition y(0) = 1, we can proceed with the calculations:

t = 0.1:

Y1 = Y0 + h * F(X0, Y0)

= 1 + 0.1 * [(2 - e^1) / 2]

≈ 1 + 0.1 * (2 - 0.368) / 2

≈ 1 + 0.1 * 1.316 / 2

≈ 1 + 0.1316

≈ 1.1

Similarly, we can calculate the approximate values of the solution at t = 0.2, 0.3, 0.4, and 0.5 using the same formula and previous results.

Using Euler's Method with a step size of h = 0.1, we found the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 to be 1.1, 1.22, 1.34, 1.47, and 1.61, respectively.

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If we allow the number of edges between any two nodes to be more than two, we would need to use the adjacency matrix to accurately store that graph information.

The adjacency matrix is a matrix representation of a graph where the rows and columns represent the vertices and the values in the matrix represent the number of edges between two vertices.

In this case, we could have values greater than 1 in the matrix to represent multiple edges between two vertices.

On the other hand, the adjacency list data structure would not be able to accurately store this information, as it represents each vertex and its adjacent vertices in a linked list format.

It would be difficult to represent multiple edges between two vertices using this data structure.

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Answer:

Step-by-step explanation:

The slope of (4,5)(9,11) is 6/5

Answer:

5/6 or 1 1/5 and pls read explanation

Step-by-step explanation:

ok so the diff between (x,y) and (x,y) is here:

the diff between x and x (4 and 9) is +5. the diff between y and y (5 and 11) is +6.  you take the reciprocal of 5/6 and that is 6/5 or 1 1/5

Answer:

764-118=s

Step-by-step explanation:

The school has 764 students. Taking away the third graders will let you know how many are left in the other grades. Please marl brainliest.

Oh, and assuming you want the total number in each grade, 1-6? its          (764-118)%5=s

Answer:

118+s=764 is the correct answer.

The equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 5xy is \(e^{\frac{5x^2}{2} }\) .

The slope of the curve is 5xy.

Therefore:

dy/dx =  5xy

dy/y = (5x)dx

Then,

The integrate both sides giving us

ln(y) = (15x²)/2 + C

Since, the curve passes through (0,1) .

Therefore, x=0 and y=1 for solving 2

ln(1) = 0/2 + C

0 = 0 + C

⇒ C = 0

We now,

substitute C back in and isolate y

ln(y) = (15x²)/2

⇒ y = e(15x²) / 2

Therefore, The answer is y = \(e^{\frac{5x^2}{2} }\)

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Answer:

I'm not 100% positive that my answer is remotley correct but I would say 25.

Step-by-step explanation:

and if that is you in your profile pic, you are very pretty.

I hope my answer helps!

Since csc 8 is undefined, this means that there is no triangle with an angle of 8 degrees and a side opposite to it. Therefore, we cannot determine the measurement of 8 to the nearest degree using csc.

However, we can use the identity cot²θ + 1 = csc²θ to find

The cosecant function is defined for all angles except for those that correspond to the zeros of sine, which are the multiples of π. Therefore, csc 8 is a well-defined real number, although it may be difficult to calculate exactly.

That being said, you can use the identity cot²θ + 1 = csc²θ to find an approximation of the measurement of 8 degrees to the nearest degree. Since we know that cotangent is defined for 8 degrees, we can use the identity to solve for csc 8:

cot²8 + 1 = csc²8

csc²8 = 1 / sin²8

csc 8 = 1 / √(1 - cos²8)

Now, we can use the fact that cos 8 is approximately equal to 1 (since 8 degrees is a very small angle) to get an approximation of csc 8:

csc 8 ≈ 1 / √(1 - 1²) = 1 / 0 = ∞

This calculation shows that the value of csc 8 is very large, which makes sense since the angle 8 degrees is very close to being perpendicular to the side opposite it in any triangle containing that angle. However, we cannot determine the measurement of 8 to the nearest degree using csc because its value is infinite.

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Answer:

oml not u making me do math

Step-by-step explanation:

not u making me do math

Answer:

C. 2(3x + 2y) and 6x + 4y

Step-by-step explanation:

Hope I helped!!

Answer:

24

Step-by-step explanation:

do 72/3 or just do 24+ 24+ 24= 72

Answer:

22, 24, 26.

Hope this helps! <3

Answer:

it is a statistical measure of the relationship between two variables that indicates the extent to which the variables change together in the same or opposite direction. Correlation does not imply causation, meaning that a correlation between two variables does not necessarily mean that one variable causes the other.

Based on this definition, the correct answer is b. Increasing values of X go with either increasing or decreasing values of Y. A correlation exists between two variables when both variables increase or decrease together. This statement captures the idea that correlation can be positive or negative, and that it reflects a linear relationship between two variables.

Step-by-step explanation:

a is wrong because it only describes positive correlation, not negative correlation.

c is wrong because it confuses correlation with consistency. Correlation does not require that higher values of X always go with higher or lower values of Y, only that they tend to do so on average.

d and f are wrong because they assume causation from correlation, which is a logical fallacy.

e is wrong because it contradicts itself. It says that increasing values of X go with increasing values of Y, which is positive correlation, but then it says that a correlation exists when both variables decrease together, which is negative correlation.

If X is correlated with Y, it implies a predictive statistical relationship between X and Y. This correlation can be positive or negative implying respective increase or decrease in values of both variables. But, this correlation doesn't prove causation.

If X is correlated with Y, it indicates a statistical relationship between the two variables, X and Y. This relationship can be positive or negative. If it is a positive correlation, as X increases, Y will also increase and similarly, as X decreases, Y will also decrease. Contrarily, in a negative correlation, as X increases, Y decreases and vice versa. However, it is important to understand that correlation does not imply causation. That is, if X and Y are correlated, it does not necessarily mean that changes in X cause changes in Y or vice versa. It only means that they move in a predictable manner relative to each other.

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Answer:105

Step-by-step explanation:

first find f(7)

(7)^2 + 1

=50

then put the answer for f(7) in g of x

2(50) + 5

=105

Answer:

28

Step-by-step explanation:

SOLUTION:

Case: Area of rectangles

Method:

Let the width be 'w'

The length, 'l' is 5 yards less than three times the width.

Hence,

l = 3w - 5

Since the Area, A = 28 sq yards

If the width w= 4 yards

Hence,

l = 3w - 5

l = 3(4) -5

l = 12 - 5

l = 7 yards

Final answer:

Length : 7 yd

Width : 4 yd

The solution of the equation is y = 5.

The equation you'll be solving is: y + 6 = -3y + 26.

On the left side of the equation, you have y + 6. On the right side of the equation, you have

=> -3y + 26.

To combine like terms, you need to rearrange the equation so that the y terms are on one side and the constant terms are on the other side.

To do this, you can add 3y to both sides of the equation. This will eliminate the -3y term on the right side of the equation and leave you with 4y + 6 = 26. Next, you can subtract 6 from both sides of the equation. This will eliminate the +6 term on the left side of the equation and leave you with 4y = 20.

Now you have an equation that only has one variable, y, on one side of the equation and a constant, 20, on the other side of the equation.

To solve for y, you need to isolate y by dividing both sides of the equation by 4.

This will give you y = 5.

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Complete Question:

Solve the equation. y + 6 = - 3y + 26.

The probability that a person will wait for more than 66 minutes is 0.1587

Given;

The time spent waiting in line is approximately normally distributed with the mean will be ' X '.

The mean given is μ = 44 minutes

The standard deviation is δ = 22 minutes

The probability that a person will wait for more than 66 minutes is;

P ( X > 66 ) = P [ X - μ/δ > 66 - μ/δ]

                  = P [Z > 66 - 44 / 22]

                  = P [Z > 1]

                  = 1 - P(Z ≤ 1)

                  = 1 - 0.8413

                  = 0.1587

The probability that a person will wait for more than 66 minutes is 0.1587.

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Answer: about 43.5298

Step-by-step explanation:

yοur investment in Cοrpοratiοn A will be wοrth $4000 after 5 years if it appreciates by $200 per year.

The functiοn A(t) that represents the amοunt that yοur investment in Cοrpοratiοn A will be wοrth after t years can be calculated using the fοllοwing fοrmula:

A(t) = 3000 + 200t

where 3000 is the initial investment and 200t represents the appreciatiοn οf the investment after t years.

Fοr example, if yοu want tο knοw hοw much yοur investment in Cοrpοratiοn A will be wοrth after 5 years, yοu can plug in t=5 intο the fοrmula:

A(5) = 3000 + 200(5) = 4000

Sο, yοur investment in Cοrpοratiοn A will be wοrth $4000 after 5 years if it appreciates by $200 per year.

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A t-test to compare the purchase rates between the two career types. A t-test is appropriate when comparing the means of two groups.

We cannot use correlation because we are not looking for a relationship between two variables. We also cannot use ANOVA because ANOVA is used when we have three or more groups.
To determine if there is a significant difference in purchase rate between the two career types with the highest and lowest purchase rates on stats-2, I used a t-test. A t-test is appropriate because it compares the means of two groups and tests whether there is a significant difference between them. In this case, the two groups are the career types with the highest and lowest purchase rates.

Here is a step-by-step explanation of the analysis:
1. Identify the two career types with the highest and lowest purchase rates.
2. Collect the data on purchase outcomes for these two career types.
3. Calculate the means of purchase outcomes for each career type.
4. Perform a t-test to determine if there is a significant difference between the means of the two career types.
5. Examine the results, specifically the p-value, to determine if there is a significant difference. If the p-value is less than 0.05, it indicates a significant difference.
Correlation and ANOVA are not appropriate in this case because correlation measures the strength and direction of a relationship between two variables, and ANOVA is used to compare the means of three or more groups.

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In exchange for storing a certain amount of money for a certain period of time, such as six months, a year, or five years, the issuing bank will pay interest on a certificate of deposit (CD), a form of savings account. When you cash in or redeem your CD, you will receive the amount you originally put in plus any interest.

The Complete Question is  certificate of deposit.

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In exchange for storing a certain amount of money for a certain period of time, such as six months, a year, or five years, the issuing bank will pay interest on a certificate of deposit (CD), a form of savings account. When you cash in or redeem your CD, you will receive the amount you originally put in plus any interest.

In the US, credit unions, thrifts, and banks typically provide certificates of deposit (CDs), a sort of time deposit.

Savings accounts and certificates of deposit (CDs) differ from one another since a CD frequently has a fixed interest rate and a predetermined length of time (commonly one, three, or six months).

The bank anticipates that the CD will be retained until it matures, at which point it can be withdrawn and interest is paid. Certificates of deposit (CDs) are essentially risk-free up to the local insured deposit limit because they are guaranteed to be "money in the bank" (in the US, up to $250,000), similar to savings accounts.

The Federal Deposit Insurance Corporation (FDIC) and National Credit Union Administration (NCUA) respectively insure CDs in the US for banks and credit unions.

Although this may not always be the case when the yield curve is inverted, institutions usually pay higher interest rates for deposits made by customers for a fixed amount of time than they do for demand-withdrawal accounts.

a. n= 39+ 19+ 12

     = 70

Proportion = x/70 = 12/70

b. No

However ,there is a small positive impact of the advertisement but we can't say entirely that the advertisement was effective.

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We can solve this equation by setting B2 = [c d], so that AB2 = [c+d 1] = [0 1]. This gives us the system of equations c + d = 0 and c = 1. Solving this system, we have c = 1, where I is the 2x2 identity matrix

Let A be the given 2x2 matrix A = [1 2 ; 1 1]. To find a 3x2 matrix B such that AB = I, where I is the 2x2 identity matrix, we can use the hint provided: If B1 and B2 are the columns of B, then ABj = Ij. This means that for each column j of B, we need to solve the equation ABj = Ij. For j = 1, we have AB1 = I1 = [1 0]. We can solve this equation by setting B1 = [a b], so that AB1 = [a+b 1] = [1 0]. This gives us the system of equations a + b = 1 and a = 0. Solving this system, we have a = 0 and b = 1, so B1 = [0 1].For j = 2, we have AB2 = I2 = [0 1]. We can solve this equation by setting B2 = [c d], so that AB2 = [c+d 1] = [0 1]. This gives us the system of equations c + d = 0 and c = 1. Solving this system, we have c = 1.

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Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Answer:

If an event is affected by previous events then it is a dependent event, while if an event is not affected by the previous event then it is an independent event.

Since we have replaced the card that we first drew from the deck, it wont affect the event of pulling a card second time.

So, we can say that it is an example of independent event.

Answer:

B

Step-by-step explanation:

We know that AB has endpoints at A(4, -3) and B(3, 7).

To find Line D, which is the perpendicular bisector of AB, we first need to find the slope of AB and its midpoint.

So, let's find the slope of AB using the slope formula:

\(\displaystyle m=\frac{y_2 - y_1}{x_2 - x_1}\)

Let (4, -3) be (x₁, y₁) and let (3, 7) be (x₂, y₂). Substitute them into the slope formula:

\(\displaystyle m=\frac{7-(-3)}{3-4}=\frac{10}{-1}=-10\)

So, the slope of AB is -10.

Remember that the slopes of perpendicular lines are negative reciprocals of each other.

Therefore, the slope of our Line D is the negative reciprocal of -10. Which is -10 flipped and multiplied by a negative.

So, Line D has a slope of 1/10.

Now, since Line D is also the perpendicular bisector of AB, we need to find the midpoint of AB since Line D must pass through this point.

To find the midpoint, we can use the midpoint formula:

\(\displaystyle M=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)\)

We can again let (4, -3) be (x₁, y₁) and let (3, 7) be (x₂, y₂). Substitute them into the midpoint formula to obtain:

\(\displaystyle M=\left(\frac{4+3}{2},\frac{-3+7}{2}\right)\)

Evaluate. So, the midpoint is:

\(\displaystyle M=\left(\frac{7}{2},2\right)=(3.5,2)\)

Now, we can find the equation of our Line D. We know that its slope is 1/10, and that it must pass through (3.5, 2). So, we can use the point-slope form:

\(y-y_1=m(x-x_1)\)

Where m is the slope. Let's let (3.5, 2) be (x₁, y₁) and substitute 1/10 for m. This yields:

\(\displaystyle y-2=\frac{1}{10}(x-3.5)\)

This is the same as choice C. So, choice C is indeed an equation of Line D.

We can distribute the right to obtain:

\(\displaystyle y-2=\frac{1}{10}x-0.35\)

Add 2 to both sides to acquire:

\(\displaystyle y=\frac{1}{10}x+1.65\)

This is the same as choice D. So, choice D is indeed an equation of Line D.

Moreover, we can put this into standard form by multiply everything by 10, which gives:

\(10y=x+16.5\)

Subtracting x from both sides yields:

\(-x+10y=16.5\)

This is the same as A. So, choice A is also an equation of Line D.

There is no way to acquire choice B. So, B is not an equation of Line D.

Therefore, our answer is B.

And we're done!

Answer:

a, c and d are not equation lines of d

Step-by-step explanation:

your answer is b i wanna type the whole explanation like i did in my

note book but my hand hurts...hope this helped

∫[3, 8] f(x) dx equals approximately 1683.17.

∫[3, 8] g(x) dx equals approximately 1932.5

To evaluate the given integrals, let's first identify the functions f(x) and g(x) and their respective intervals.

f(x) = 4x^2 - 3x + 2

g(x) = 2x^3 - 5x + 1

Interval: [3, 8]

Now, let's evaluate the integrals step by step.

∫[3, 8] f(x) dx:

We integrate the function f(x) over the interval [3, 8].

∫[3, 8] (4x^2 - 3x + 2) dx

To find the integral, we can use the power rule for integration. For each term, we increase the exponent by 1 and divide by the new exponent.

= [4 * (x^3/3) - 3 * (x^2/2) + 2x] evaluated from 3 to 8

Now we substitute the upper and lower limits into the integral expression:

= [(4 * (8^3/3) - 3 * (8^2/2) + 2 * 8) - (4 * (3^3/3) - 3 * (3^2/2) + 2 * 3)]

Simplifying further:

= [(4 * 512/3) - (3 * 16/2) + 16 - (4 * 27/3) + (3 * 9/2) + 6]

= [(1706.67) - (24) + 16 - (36) + (13.5) + 6]

= 1683.17

Therefore, ∫[3, 8] f(x) dx equals approximately 1683.17.

∫[3, 8] g(x) dx:

We integrate the function g(x) over the interval [3, 8].

∫[3, 8] (2x^3 - 5x + 1) dx

Using the power rule for integration:

= [(2 * (x^4/4)) - (5 * (x^2/2)) + x] evaluated from 3 to 8

Substituting the upper and lower limits:

= [(2 * (8^4/4)) - (5 * (8^2/2)) + 8 - (2 * (3^4/4)) + (5 * (3^2/2)) + 3]

Simplifying further:

= [(2 * 4096/4) - (5 * 64/2) + 8 - (2 * 81/4) + (5 * 9/2) + 3]

= [(2048) - (160) + 8 - (162/2) + (45/2) + 3]

= 1932.5

Therefore, ∫[3, 8] g(x) dx equals approximately 1932.5

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Sparky needs to score at least 80 on his fourth Sociology test to maintain an average of 70 across all four tests.

To maintain an average of 70, Sparky needs to have a total score of at least 280 (70 x 4) on his four Sociology tests. His current total score is 200 (71 + 60 + 69), so he needs to score a minimum of 80 on his fourth test.

Alternatively, we can use the formula: (sum of scores)/(number of tests) = average score.

We can rearrange this formula to solve for the unknown variable (score on the fourth test):

(score on fourth test) = (average score) x (number of tests) - (sum of scores)

Substituting the values given, we get:

(score on fourth test) = 70 x 4 - (71 + 60 + 69) = 280 - 200 = 80

It's important to note that while Sparky only needs a minimum score of 80 on his fourth test to maintain his eligibility for lacrosse, it is always beneficial to aim for a higher score to improve his overall average and demonstrate mastery of the subject matter.

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Answer:

41.6

Step-by-step explanation:

54 * 32 = 1728

square root of 1728 is 41.6

Hope this helps!

The exact number of fractions equivalent to the given fraction is 8/10, 12/15 and 16/20, under the condition that the given fraction is 4/5.

In order to determine the equivalent fractions of 4/5, we are have to multiply the numerator and denominator by same numbers.

Then the exact numbers equivalent to the given fraction is

(4/5) × (2/2) = (4 × 2) / (5 × 2) = 8/10

(4/5) × (3/3) = (4 × 3) / (5 × 3) = 12/15

(4/5) × (4/4) = (4 × 4) / (5 × 4) = 16/20

Then, 8/10, 12/15, and 16/20 are equal to 4/5 when simplified, which means they are equivalent in nature.

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