If Garou has 5 apples, and gives 2 to saitama and 3 to Master Bang, how many apples dose Garou have?

we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

Learn more about Integrate here : brainly.com/question/31744185

#SPJ11

An area 825 by 550 ft gives max area for $6600.

acc to our question-

hence, 3300 + 3300 = $6600

learn more about area of reactangles click here:

https://brainly.com/question/25292087

#SPJ4

The stated statement states that 5856 gallons were delivered in a single day.

According to WebMD, drinking a gallon of water every day may considerably increase your energy level. This is one reason to strive for this goal. Poor energy is a frequent issue. Some people experience midday sluggishness and would prefer a soda or indeed a cup of tea than a drinking glass of water.

488 dozen gallons will be delivered in a day.

G stands for the quantity of gallons supplied that day.

Remember: 12 is one dozen.

Hence, 488 gallons * 12 = 5856 gallons were supplied in a single day.

To know more about Gallons visit:

https://brainly.com/question/26007201

#SPJ1

|-86| = 86 The Badwater Basin, which is 282 feet (86 metres) below sea level, is the lowest place in North America.

The absolute value is always positive. The elevation of the shoreline, or the ocean-land boundary, is referred to as sea level. Land above this altitude is above sea level, whereas land below it is below sea level. When we visit the shoreline, the small strip of land that separates the land from the water, we experience relative sea level. When we observe the shoreline, we can see that it fluctuates throughout the day. Tides and winds affect how the shoreline narrows and widens, but they do not determine the sea level. To eliminate these effects from the calculations, we use mean sea level (MSL). In a specific location, MSL represents the halfway point between mean high tide and mean low tide.

-86 has an absolute value of 86.

Advice: The absolute value is consistently positive.

Learn more about sea here:

https://brainly.com/question/3762397

#SPJ1

Yes, the two-sample z test is appropriate here. This test is used to compare the means of two independent groups and determine whether they are statistically different.

In this experiment, the two groups are the participants who received the drink with the artificial sweetener and the participants who received the drink without it. The test will determine if there is a significant difference in their blood glucose levels after consuming each drink. The fact that the same participants are measured on two different days is not an issue, as long as the order in which they receive the drinks is randomized to avoid any potential order effects. The z test requires certain assumptions to be met, such as normality and equal variances between the groups, so the researcher should check these assumptions before conducting the test. Overall, the two-sample z test is a suitable statistical method for analyzing the impact of the new artificial sweetener on blood glucose in this experiment.

Learn more about z test here

https://brainly.com/question/17144617

#SPJ11

Answer:

3433 m²

Step-by-step explanation:

From the image, we have a rectangular box without cover and half a cylinder on top.

Formula for surface area of rectangular box with top is;

S = 2(lh + wh + lw)

From the image,

l = 0.6 m

w = 0.4 m

h = 0.55 m

Thus;

S = 2((0.6 × 0.55) + (0.4 × 0.55) + (0.6 × 0.4))

S = 1.58 m²

Now, since the top is not included for this figure, then;

Surface area of this rectangular box is;

S1 = 1.58 - (lw) = 1.58 - (0.4 × 0.6) = 1.34 m²

Surface area of a cylinder is;

S = 2πr² + 2πrh

r is radius and in this case = 0.4/2 = 0.2 m

h = 0.6

S = 2π(0.2² + (0.2 × 0.6))

S = 1.005 m²

Since it is half cylinder, then we have;

S2 = 1.005/2

S2 = 0.5025 m²

Total surface area; S_t = S1 + S2

S_t = 1.34 + 0.5025

S_t = 1.8425 m²

This is the surface area of one mail box.

Thus, for 1863 mailboxes, total surface area is;

S = 1863 × 1.8425 = 3432.5775 m²

Approximating to the nearest Sq.m gives;

S = 3433 m²

The complete solution in radians of the given equation is: θ = π/6 + 2πn and θ = 5π/6 + 2πn, where n is an integer.

To find the complete solution in radians of the equation 4 sin²θ + 1 = 4 sinθ, we can first rewrite the equation as a quadratic equation.

Let's substitute sinθ with x for simplicity: 4x² + 1 = 4x

Rearranging the equation: 4x² - 4x + 1 = 0

We can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, factoring or completing the square won't yield nice solutions, so we'll use the quadratic formula.

Using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a)

For our equation: a = 4, b = -4, and c = 1

Plugging these values into the quadratic formula, we get: x = (-(-4) ± √((-4)² - 4(4)(1))) / (2(4))

Simplifying: x = (4 ± √(16 - 16)) / 8

Further simplifying: x = (4 ± √0) / 8

Since the discriminant (√0) is zero, we have only one solution: x = 4/8 = 1/2

Now, we need to find the values of θ that correspond to sinθ = 1/2.

In the unit circle, sinθ = 1/2 occurs at two angles: π/6 and 5π/6 (in the first and second quadrants).

Learn more about radians here :-

https://brainly.com/question/27025090

#SPJ11

The value of the expression after evaluating it according to the values of c and d is 42.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Since, no expression is given, let us assume that the expression is

c + d / 4

Now we have to evaluate the value of the expression according to the values of c and d,

For that, we will simply put the given values in the expression and solved it accordingly,

Put c = 36 and d = 24 in the expression we assumed,

c + d / 4 = 36 + 24/4

= 36 + 6 = 42

Hence, the value of the expression after evaluating it according to the values of c and d is 42.

Learn more about expressions, click;

https://brainly.com/question/13947055

#SPJ1

Using it's concept, it is found the standard deviation of $10 means that most students spent within $10 of the mean of $60 on the slot machines.

Hence, in this problem, the standard deviation of $10 means that most students spent within $10 of the mean of $60 on the slot machines.

More can be learned about standard deviation at https://brainly.com/question/24754716

Step-by-step explanation:

the option that you've chose.

it's the correct answer!

have a good day :)

Answer:

The answer is D. number 4.

The number of ways is an illustration of selections and arrangements.There are 16 ways to order a two-course meal.

An arrangement is defined as a combination of things that make up a design or that are laid out in a certain way

The given parameters are

Appetizer=8

Main=6

A person can choose 1 a-piece from each menu.

This means that:

There are 8 ways of selecting appetizers, and 2 ways of selecting the main courses.

So, the number of ways (n) is:

\(\rm n=Appetizer\times Main\)

\(n=8\times 2\)

\(n=16\)

Hence, there are 16 ways to order a two-course meal

To know more about Arrangements follow

https://brainly.com/question/6032811

#SPJ1

Answer:

z = -8

Step-by-step explanation:

I'm guessing you want to find out what z is equal to, so here you go.

2z - 1 = -9 + z

2z = -8 + z

z = -8

Answer:

z = -8

Step-by-step explanation:

let's simplify the equation by getting the like terms together.

2z-1 = -9+z

first get the z's on the same side:

2z-z-1 = -9

z-1 = 9

then the constants:

z = -9+1

z = -8

Answer:

B

Step-by-step explanation:

3) \(\angle B \cong \angle Y\)

4) \(\triangle ABC \sim \triangle ZYX\) by the SAS similarity theorem

ΔABC is similar ΔZYX by the SAS similarity theorem. Therefore, option B is the correct answer.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure,

1. AB/ZY = BC/YX = 2

2. ∠B and ∠Y are right angles

3. ∠B=∠Y

4. ΔABC is similar ΔZYX by the SAS similarity theorem.

Therefore, option B is the correct answer.

To learn more about the similar triangles visit:

https://brainly.com/question/25882965.

#SPJ5

Answer:

\(\frac{3}{4}\)

\(\frac{1}{7}\)

\(\frac{1}{6}\)

Answer:

A

Step-by-step explanation:

The exponential growth model for the population of the bacteria is P(t) = 150 * e^((ln(3)/5)*t).

The exponential growth model for the population of the bacteria can be represented by the equation P(t) = P0 * e^(kt), where P(t) is the population at time t, P0 is the initial population, e is the base of the natural logarithm, k is the growth rate constant, and t is the time elapsed.

Let's denote the initial population as P0 = 150 bacteria at time t = 0. We are given that the population increases continuously at a rate proportional to the number present, which means the growth rate is directly proportional to the population. Mathematically, this can be expressed as dP/dt = k * P, where dP/dt represents the rate of change of population over time.

To find the exponential growth model, we can integrate this equation with respect to t:

∫(1/P) dP = ∫k dt.

Integrating both sides gives us the equation ln(P) = kt + C, where C is the constant of integration. Exponentiating both sides yields P = e^(kt+C). Since e^C is just another constant, let's rename it as A, so we have P = A * e^(kt).

To find the specific value of A, we can use the initial condition P(0) = 150. Plugging these values into the equation, we get 150 = A * e^(k*0), which simplifies to 150 = A. Therefore, the exponential growth model for the bacteria population is P(t) = 150 * e^(kt).

To find the growth rate constant k, we can use the information given that there are 450 bacteria 5 hours later (t = 5). Plugging these values into the equation, we get 450 = 150 * e^(5k). Dividing both sides by 150 and taking the natural logarithm gives ln(3) = 5k. Solving for k, we have k = ln(3)/5.

Therefore, the exponential growth model for the population of the bacteria is P(t) = 150 * e^((ln(3)/5)*t), where P(t) represents the population at time t. This equation describes how the population grows continuously over time, with the initial population of 150 bacteria increasing exponentially.

Learn more about  exponential growth here:

https://brainly.com/question/32498105

#SPJ11

Answer:

y = 19.4

x = 14.1

Step-by-step explanation:

(Finding y);

Sin(54) = \(\frac{y}{24}\)

Sin(54) * 24 = y

(Finding x);

Cos(54) = \(\frac{x}{24}\)

Cos(54) * 24 = x

Hope this helps!

Answer:

y=1/2x+12

Step-by-step explanation:

Answer:

y = 2x + (-30)

Step-by-step explanation:

Find the slope, then find the y-intercept.

But that is for if the points are, (20,10) and (16,2)

If you were finding the equation for the points, (10,20) and (2,16) the equation would be y = 0.5x + 15

The required percentage of regular grade gasoline are;

a) 34%

b) 95.5%

c)4.5%

(a) To determine the percentage of regular grade gasoline sold between $3.25 and $3.65 per gallon, we need to find the proportion of the data that falls within this range. Assuming a bell-shaped distribution, we can use the standard deviation and mean to find the z-scores for these two prices, and then look up the cumulative probability in a standard normal table.

$3.25$ is $1$ standard deviation below the mean and $3.65$ is $0.5$ standard deviation above the mean.

Using a standard normal table, we find that approximately 68% of the data falls within one standard deviation of the mean, and approximately 34% falls between $-0.5$ and $0.5$ standard deviations.

Therefore, approximately 34% of regular grade gasoline is sold between $3.25 and 3.65 per gallon.

(b) To find the percentage of regular grade gasoline sold between $3.25 and $3.85 per gallon, we need to find the cumulative probability for the range $3.25$ to $3.85$.

$3.85$ is $1.5$ standard deviations above the mean.

Using a standard normal table, we find that approximately 95.5% of the data falls within $1.5$ standard deviations of the mean.

Therefore, approximately 95.5% of regular grade gasoline is sold between $3.25 and $3.85 per gallon.

(c) To find the percentage of regular grade gasoline sold for more than $3.85 per gallon, we need to find the cumulative probability for values greater than $3.85$.

Using a standard normal table, we find that approximately 100% - 95.5% = 4.5% of the data falls above $1.5$ standard deviations from the mean.

Therefore, approximately 4.5% of regular grade gasoline is sold for more than $3.85 per gallon.

To know more about Percentage visit:

brainly.com/question/28269290

#SPJ4

Answer:

\( - x - 3\)

Step-by-step explanation:

1) regroup term.

\( - \frac{1}{2} (8x - 4) + 3x - 5\)

2) Simplify 1/2 ( 8x - 4 ) to 8x - 4/2.

\( - \frac{8x - 4}{2} + 3x - 5\)

3) Factor out the common term 4.

\( - \frac{4(2x - 1)}{2} + 3x - 5\)

4) Simplify 4( 2x - 1 ) / 2 to 2( 2x - 1).

\( - 2(2x - 1) + 3x - 5\)

5) Expand by distributing terms.

\( - (4x - 2) + 3x - 5\)

6) Remove parentheses.

\( - 4x + 2 + 3x - 5\)

6) Collect like terms.

\(( - 4x + 3x) + (2 - 5)\)

8) Simplify.

\( - x - 3\)

Therefor, the answer is -x - 3.

If r is < 0, then lambda must be:  Less than 0, Less than 1, Greater than 1  and Greater than 0. The correct answers are: A), B), C), and D).

Recall that the exponential growth or decay model is given by the function:

\(y = y0 * e^(rt)\)

where y0 is the initial value of the function, r is the rate of change (growth or decay), t is the time, and e is the mathematical constant approximately equal to 2.71828.

If r < 0, then the function represents exponential decay, and we have:

\(y = y0 * e^(rt)\)

y/y0 = e^(rt)

Taking the natural logarithm of both sides, we get:

ln(y/y0) = rt

r = (1/t) * ln(y/y0)

Since ln(y/y0) is the natural logarithm of a ratio, it can take any real value. Therefore, r can take any negative value, and there is no restriction on the value of lambda (which is\(e^r\)).

So, the correct answers are: A), B), C), and D).

To know more about lambda refer to-

https://brainly.com/question/31390865

#SPJ11

Answer:

h÷2

Step-by-step explanation:

\(2\:gallons =1\:hour\\2 \: gallons = h \:hours\\2h = 2\\\frac{h}{2} = \frac{2}{2}\)

Answer:

100

Step-by-step explanation:

8032\32

Answer:

251

Step-by-step explanation:

32 divided by 8032 =251

Answer:

d Because I just took the test and got it right

The true proportion of the side lengths of the quadrilaterals is A'B'/AB

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

Quadrilaterals ABCD and A'B'C'D

These quadrilaterals are similar

So, it means that the corresponding side lengths are proportional

So. we have

Side length = AB

Corresponding side length = A'B'

The true proportion is then represented as

k = Corresponding side length/Side length

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

k = A'B'/AB

Hence, the proportion is A'B'/AB

Read more about similar shapes at

https://brainly.com/question/14285697

#SPJ1

Answer:.

Step-by-step explanation: It wont show on my device sir/ma´am/person. Maybe its because of my device ..if not it could possibly be perhaps you somehow put a wrong file? Not to sure on this problem. But i truly hope its just my device and not yours. But other than that; enjoy your day!

(Btw, please dont give me anything. I didnt even answer what you need help on. But wish you luck on it.)

Answer:

D. x^3 - 11

Step-by-step explanation:

y = ∛ x + 11

x = ∛ y + 11

x^3 = y + 11

x^3 - 11 = y

Hopefully this helped!

Brainliest please?

Answer:

\(a_n=14n+5\)

Step-by-step explanation:

\(a_n=a_1+(n-1)d\\a_n=19+(n-1)(14)\\a_n=19+14n-14\\a_n=14n+5\)

Here, the common difference is \(d=14\) since 14 is being added each subsequent term, and the first term is \(a_1=19\).

Answer:

i think but not sure that answer $6.25