HELP! Quickly! I need this ASAP

For h = 0.01, the actual % error is 0.0146%.

For h = 0.5, the actual % error is 18.38%

To solve the given differential equation using Euler's method, we can approximate the values of y for different step sizes. Let's consider the step sizes h = 0.1, h = 0.01, and h = 0.5.

For h = 0.1:

Given t0 = 0, y0 = 0, h = 0.1, and f(t0, y0) = 3(0) + 4(0) = 0.

Using the Euler's method formula:

y1 = y0 + h * f(t0, y0)

= 0 + (0.1)(0)

= 0

Thus, we get the approximate value of y at t = 0.1 as y1 = 0.

Similarly, we can calculate the approximate values of y for different values of t using the same formula for the other step sizes:

For h = 0.01, we get:

y11 = 0.04

y12 = 0.064

For h = 0.5, we get:

y21 = 0.004

y22 = 0.0064

Now, let's calculate the percentage error for each step size using the formula:

% error = (|actual - approximate| / actual) * 100

For h = 0.1, the actual value of y at t = 10 is given by:

y = 1/4 * (5e^(4t) - 3t - 3)

At t = 10, we have y = 1/4 * (5e^(410) - 310 - 3) = 150.219.

% error = (|150.219 - 150| / 150.219) * 100

= 0.146%

For h = 0.01, the actual % error is 0.0146%.

For h = 0.5, the actual % error is 18.38%.

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Step-by-step explanation:

Given. m = 8 , n = 3

mn = 8 * 3 = 24

Hope it will help :)

Answer:

hello

Step-by-step explanation:

if "m" is equal to 8 and "n" is equal to 3

then mn=8×3=24

have a nice day

bye

Answer:

The third one

Step-by-step explanation:

Answer:

x=4  

-5y+8x=-18        

linear combination:

cancel out -5y with 5y. combine 8x and 2x

5y+2x=58        

10x. combine -18 and 58 to get 40

10x=40    

40/10=4

x=4

-----

Hope this helps!! - Maddy  

(if this helps please make brainliest, rate, and thank so I know how I did!)

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Answer:

\( \boxed{ \huge{ \bold{ \boxed{ \sf{y = 3}}}}}\)

Step-by-step explanation:

\( \sf{ - 5y - 25 = - 40}\)

Move 25 to right hand side and change it's sign

⇒\( \sf{ - 5y = - 40 + 25}\)

Calculate

⇒\( \sf{ - 5y = - 15}\)

Divide both sides of the equation by -5

⇒\( \sf{ \frac{ - 5y}{ - 5} = \frac{ - 15}{ - 5} }\)

Calculate

⇒\( \sf{y = 3}\)

Hope I helped!

Best regards!!

The fractions 3/4 and 9/12 are proportion because 9/12 can be modified to become 3/4.

According to the question;

In essence, when we divide the numerator, 9 and denominator 12 each by 3; the result is 3/4.

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The derivative of f(x) = (4x + 3x^2)(6 - 3x) using the product rule is f'(x) = 3x^2 + 6x.

f'(x) = 12x^2 - 12x - 9x^2 + 18x = 3x^2 + 6x

To find f'(x) using the product rule, we differentiate each term separately and apply the product rule formula: (u*v)' = u'v + uv'. Let's break down the calculation step by step.

f(x) = (4x + 3x^2)(6 - 3x)

Using the product rule, we differentiate each term separately:

u = 4x + 3x^2

u' = 4 + 6x

v = 6 - 3x

v' = -3

Now, we can apply the product rule formula:

f'(x) = u'v + uv'

f'(x) = (4 + 6x)(6 - 3x) + (4x + 3x^2)(-3)

Expanding the terms:

f'(x) = (24 - 12x + 36x - 18x^2) + (-12x - 9x^2)

Combining like terms:

f'(x) = 12x^2 - 12x - 9x^2 + 18x

Simplifying further:

f'(x) = 3x^2 + 6x

The derivative of f(x) = (4x + 3x^2)(6 - 3x) using the product rule is f'(x) = 3x^2 + 6x. By rewriting f(x) as a polynomial, we can also find its derivative, which matches the result obtained using the product rule. This demonstrates the equivalence between the two methods of differentiation.

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The revised strategy is shown below.

To revise my coach's strategy and finish the race before Sam, I would incorporate pacing and strategic speed variations. Given my maximum speed of 5.5 meters per second and the limitation of sustaining it for only 1200 meters, I would adopt the following revised strategy:

By implementing this revised strategy, I will strategically manage my energy levels, pace myself effectively, and strategically use different speeds throughout the race. This approach aims to ensure that I finish the 1500-meter race before Sam while optimizing my performance and utilizing my maximum speed when it matters the most.

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Fill the blanks this way

1. Given

2. Segment addition postulate

3. Substitution property of equality

4. Substraction property of equality

5. Division property of equality

For given experiment, the probability of getting a multiple of 3 and 4 is 1/7

In this question we have been given an expreiment of rolling  two number cubes and multiply the numbers.

We need to find the probability of getting a multiple of 3 and 4

If two number cubes are rolled and multiply the numbers, the maximum output of multiplication would be 36

So, the sample space:

n(S) = 21

The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36

And the multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36

The number of outcomes for getting a multiple of 3 and 4 are:

12, 24, 36

n(A) = 3

so, the required probability would be,

p(A) = n(A)/n(S)

p(A) = 3/21

p(A) = 1/7

Therefore, the probability of getting a multiple of 3 and 4 = 1/7

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Answer:

132 cm²

Step-by-step explanation:

To find the area of the figure, start by dividing the figure into smaller rectangles.

Area of figure

= area of shaded rectangle +area of unshaded rectangle

\(\textcolor{steelblue}{\text{Area of rectangle= length ×breadth}}\)

Shaded rectangle

Length= 4 cm

Breadth= 6 cm

Area

= 4(6)

= 24 cm²

Unshaded rectangle

Length= 9 cm

Breadth= 12 cm

Area

= 9(12)

= 108 cm²

After finding the area of each rectangle, we can add the two areas together to obtain the total area of the figure.

Area of figure

= 108 +24

= 132 cm²

Answer:

Step-by-step explanation:

1.95 is the correct answer

The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression. To do this, we need to assign a variable to the unknown number and then use multiplication and subtraction to represent the given information.

Let x be the unknown number. The product of three and x is 3x. Twelve less than 3x is 3x - 12. Therefore, the algebraic expression for "twelve less than the product of three and a number" is 3x - 12. This expression represents a value that is 12 less than three times the number x.

For instance, if we know that a number is 7, we can use this expression to find the value of "twelve less than the product of three and 7."3x - 12 = 3(7) - 12= 21 - 12= 9Therefore, the value of "twelve less than the product of three and 7" is 9. We can also use this expression to write an equation and solve for x. For example, if we know that the value of "twelve less than the product of three and a number" is 33, we can write an equation:3x - 12 = 33Then, we can solve for x:3x = 33 + 123x = 45x = 15. Therefore, the unknown number is 15.

To summarize, the phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

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The theoretical probability of spinning green on the spinner, divided into 4 equal-size sections colored red, green, orange, and blue, is ¼ or 25%.

In this scenario, the spinner has four equal-size sections. Since each section is of equal size, the probability of landing on any specific section is the same. Therefore, the probability of spinning green, which is one out of the four possible outcomes, is 1/4 or 25%.

To calculate the theoretical probability, we divide the favorable outcomes (spinning green) by the total possible outcomes. In this case, there is one favorable outcome (green) out of four possible outcomes (red, green, orange, and blue), resulting in a probability of 1/4 or 25%.

It's important to note that theoretical probability is based on the assumption of equally likely outcomes and assumes a large number of trials. In practice, actual outcomes may deviate from theoretical probabilities due to factors like imbalances in the spinner or inherent randomness.

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Answer:

the answer to your question is simply

Step-by-step explanation:

4

The answer is 4

Hope this helps:)

The probability of rolling a number less than 3 or an odd number with a 10-sided die is 7/10.

To calculate the probability of rolling a number less than 3 or an odd number with a 10-sided die, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.

The 10-sided die has the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.

Number less than 3: The favorable outcomes are 1 and 2, which means there are 2 favorable outcomes.

Odd number: The favorable outcomes are 1, 3, 5, 7, and 9, which means there are 5 favorable outcomes.

To find the probability, we sum the number of favorable outcomes and divide it by the total number of possible outcomes:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

Probability = (2 + 5) / 10

Probability = 7 / 10

Therefore, the probability of rolling a number less than 3 or an odd number with a 10-sided die is 7/10.

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Answer:

$80

Step-by-step explanation:

20 on 4 days. 20*4 or 80.

Hope this helps plz hit the crown :D

The image of the square S under the given transformation is a parallelogram in the (x, y) plane, defined by the points (0, 0), (1, 0), (0, 1), and (1, 1).

To find the image of the set S under the given transformation, we substitute the coordinates of the points in S into the transformation equations. The set S is a square bounded by the lines u = 0, u = 1, v = 0, and v = 1.

Let's consider the four corners of the square:
Corner 1: (u, v) = (0, 0)
Corner 2: (u, v) = (0, 1)
Corner 3: (u, v) = (1, 0)
Corner 4: (u, v) = (1, 1)

For each corner, we apply the transformation:
Corner 1: (x, y) = (v, u(1 - v^2)) = (0, 0)
Corner 2: (x, y) = (v, u(1 - v^2)) = (1, 0)
Corner 3: (x, y) = (v, u(1 - v^2)) = (0, 1)
Corner 4: (x, y) = (v, u(1 - v^2)) = (1, 1)

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Answer:

The slope is -3/2

Step-by-step explanation:

Hope this helped have a good day!

Answer: False

(5 x 3) + (5 x 3) = 30

Answer:

All systems have 2 real solutions.

Step-by-step explanation:

there are X and Y unknowns.

Answer:

x - 5

Step-by-step explanation:

The x-coordinate of the left endpoint is 5.

The x-coordinate of the right endpoint is x.

length = x - 5

Answer: I think 1.2

Step-by-step explanation:

1.35

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

<95141404393>

function is the answer of this question

Answer:

Step-by-step explanation:

2x + y = 1     ⇒  y = 1 - 2x

3x - y = -6

3x  - (1 - 2x) = -6

3x - 1 + 2x = -6

       +1           +1

   5x  = -5

  ÷5      ÷5

   x = -1

y = 1 - 2(-1) = 1 + 2 = 3

The F-ratio is a measure used in statistical tests, specifically in ANOVA (Analysis of Variance) to test for differences between means of multiple groups.

a) On average, what value is expected for the F-ratio if the null hypothesis is true?

The answer is a. 1. If the null hypothesis is true, it means that there is no significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value close to 1, as the variance between the groups is not significantly different from the variance within the groups.

b) On average, what value is expected for the F-ratio if the null hypothesis is false?

The answer is d. Much greater than 1.00. If the null hypothesis is false, it means that there is a significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value much greater than 1, as the variance between the groups is significantly larger than the variance within the groups.

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Answer:

16% of 174 = 27.84

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

The angle C is supplementary to the angle of 180°

180°-116°=64°

The sum of all sides of a triangle is always 180 °:

2x+4°+3x-13°+64°= 180°

5x+55°= 180°

5x=180°-55°

5x=125°

x=125°/5

x=25°

⇒A=3x-13°

A=3×25°-13°

A=75°-13°

A=62°

Answer C

hope this helps.

Answer:

x=4

Step-by-step explanation:

2(8 - 12x) + 8x = -25x + 52

Distribute

16 -24x +8x = -25x +52

Combine like terms

16 - 16x = -25x +52

Add 25x to each side

16 -16x+25x = -25x+52+25x

16+9x = 52

Subtract 16 from each side

16+9x-16 = 52-16

9x = 36

Divide by 9

9x/9 = 36/9

x =4

Answer:

x = 4

Step-by-step explanation:

Remember to follow PEMDAS. PEMDAS is the order of operation and equals:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, distribute 2 to all terms within the parenthesis:

2(8 - 12x) = (2 * 8) - (2 * 12x) = 16 - 24x

Next, combine like terms. Like terms are terms with the same variables and the same amount of variables:

16 - 24x + 8x = -25x + 52

16 - 16x = -25x + 52

Isolate the variable, x. Add 25x and subtract 16 from both sides:

16 (-16) - 16x (+25x) = -25x (+25x) + 52 (-16)

-16x + 25x = 52 - 16

Combine like terms:

25x - 16x = 52 - 16

9x = 36

Isolate the variable, x. Divide 9 from both sides:

(9x)/9 = (36)/9

x = 36/9

x = 4

x = 4 is your final answer.

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