What is the value of x in the equation?
3(x+6) --18
-36
0-33
-24
0-18

The table of values that represents exponential decay is (c)

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

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

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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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A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.

An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.

On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.

The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.

For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.

For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.

Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.

Answer:14/29

Step-by-step explanation:

There are 14 even numbers and there are 29 numbers.

So it would equal 14/29

slope is 1

slope formula: y2-y1/x2-x1

4-3/0-(-1)

Using Richardson extrapolation, the computed first derivative of f(x) at x = 2 is approximately -0.052.

The absolute error with respect to the true solution is 22.348.

To compute the accuracy gain using Richardson extrapolation, we'll use the central difference formula for the first derivative, which is given by:

f'(x) = [f(x + h) - f(x - h)] / (2h)

h₁= 0.02 and h₂ = 0.03, and then apply Richardson extrapolation.

Calculate the derivative using h₁ = 0.02

x = 2

h₁ = 0.02

f(x + h₁) = f(2 + 0.02) = f(2.02) = 5sin(10 × 2.02) + (2.02)³ - 2(2.02)² - 6(2.02) + 10

= 5sin(20.2) + 8.120808 - 8.162808 - 12.12 + 10

= -3.5799

f(x -h₁) = f(2 - 0.02) = f(1.98)

= 5sin(19.8) + 7.783608 - 7.844808 - 11.88 + 10

= -3.4758

f'(x) = [-3.5799 - (-3.4758)] / (2 × 0.02)

= -0.052

Calculate the derivative using h₂ = 0.03

x = 2

h₂  = 0.03

f(x + h₂ ) = f(2 + 0.03) = f(2.03) = 5sin(10 × 2.03) + (2.03)³ - 2(2.03)² - 6(2.03) + 10

= -3.5998

f(x - h₂) = f(2 - 0.03) = f(1.97)

= -3.3943

f'(x) = [-3.5998 - (-3.3943)] / (2 × 0.03)

= -0.052

Richardson extrapolation is given by the formula:

\(f'(x) = (2^p \times f'(x, h_2) - f'(x, h_1)) / (2^p - 1)\)

Here, p is the order of the method. Since we're using the central difference formula, which is second-order accurate, p = 2.

f'(x) = (2² × -0.052 - (-0.052)) / (2² - 1)

= (4 × -0.052 + 0.052) / 3

= -0.052

Therefore, using Richardson extrapolation, the first derivative of f(x) at x = 2 is approximately -0.052.

To compute the absolute error with respect to the true solution, we need to find the true derivative of f(x) and evaluate it at x = 2.

f(x) = 5sin(10x) + x³ - 2x² - 6x + 10

f'(x) = 50cos(10x) + 3x² - 4x - 6

f'(2) = 50cos(20) + 3(2)^2 - 4(2) - 6

= 50(-0.408) + 12 - 8 - 6

= -22.4

Absolute error = |(-22.4) - (-0.052)|

= |-22.4 + 0.052|

= 22.348

Therefore, the absolute error with respect to the true solution is  22.348.

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Answer:

Your answer is <, Hope it helps.

we  know she poured already 2 qts of a 62% sugar solution, hmmm how much will that be in quarts?  well, just (62/100) * 2 = 1.24 quarts.

we also know she wants to mixed say "x" quarts of a 38% sugar solution, how many quarts will that be?  well, (38/100) * x = 0.38x.

let's make a quick table from that as well as including the desired mixture.

\(\begin{array}{lcccl} &\stackrel{solution}{quarts}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{qts of }}{amount}\\ \cline{2-4}&\\ \textit{62\% solution}&2&0.62&1.24\\ \textit{38\% solution}&x&0.38&0.38x\\ \cline{2-4}&\\ desired~mixture&y&0.54&0.54y \end{array}\qquad \begin{cases} ~\hfill 2+x&=y\\\\ 1.24 + 0.38x &= 0.54y \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{substituting on the 2nd equation}}{1.24 + 0.38x ~~ = ~~ 0.54(\underset{y}{2 + x})}\implies 1.24+0.38x=1.08+0.54x \\\\\\ 0.16+0.38x=0.54x\implies 0.16=0.16x\implies \cfrac{0.16}{0.16}=x\implies \stackrel{qts}{1}=x\)

Answer:

Step-by-step explanation:

if 14/6=32/4

12/4=3 y-6=3 y=9

0/4=0 y-6=0 y=6

if y=4 x=-8

y=-3 x=-36

Answer:

Step-by-step explanation:

y = 6 - (x/4)                 replace the given values with x or y

x    :    y

32   :    14

12    :    3

0     :    6

8    :     4

36    :    -3

Answer:

Answer is a (A)

Step-by-step explanation:

Answer is a (A)

Answer:

6

Step-by-step explanation:

use M a t h w a y

Answer:

hey, so on that one guys odd question, you asked how to unfollow people

Step-by-step explanation:

if you go to your profile, where it tells your username, and bio and all that, and click on following. Find his account in the following list and click the little icon on the right! it should change to a different symbol :D Please stay safe girly!

The scale which Mr. Seals used to create the scale of the drawing as required is; Choice A; 1 inch represents 4 feet.

It follows from the task content that the scale used by Mr. Seals is to be determined.

According to the task content; the width of the classroom is 5 inches and the width of the actual classroom is 20 feet.

On this note, it follows by proportion that we have;

5 inches / 20 feet.

= 1 inch / 4 feet.

Consequently, it can be inferred that the required scale is; 1 inch represents 4 feet.

Hence, Choice A is correct.

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Answer:

if length is 20 and width is 12 then the perimiter is 64

Step-by-step explanation:

Answer:

feel like its C

Step-by-step explanation:

The distance of Saturn from the sun is 9.5 astronomical units.

Orbital period p of a planet and the planet’s distance from the sun, a in astronomical units are related by:

\(p = a^{3/2}\)

The orbital period is the time a given astronomical object takes to complete one orbit around the sun.

Given that Saturn's orbital period is 29.5 years.

So, \(29.5 = a^{3/2}\)

\(a = 29.5^{2/3}\)

a = 9.5 au

Therefore, the distance of Saturn from the sun is 9.5 astronomical units.

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Answer:

x=8

Area= 60

Step-by-step explanation:

1. Use the Pythagorean Theorem: a^2+b^2=c^2.

c is always the longest side of the triangle, or the hypotenuse. The other two variables can be interchanged.

Let's plug the numbers into the equation now.

a^2+15^2=17^2

2. Square the two numbers you are given and isolate a.

15^2 (or 15 x 15) = 225

17^2 (or 17 x 17) = 289

So, the equation becomes: a^2 + 225 = 289

To get a by itself, subtract 225 from both sides and take the square root of the result

289-225= 64

√64 = 8

a= 8. x=8

3. Now that you have x, you can calculate the area if the triangle. The area formula for triangles is 1/2 base x height

Base is 15 and height is 8

15 x 8 = 120

120 x .5 = 60

Using Pythagoras theorem ,

Hypotenuse² = Base² + Height²

→ 17² = 15² + x²

→ 289 - 225 = x²

→ 64 = x²

→ x = √64

→ x = 8cm

Area = 1/2 × Base × height

=> 1/2 × 15 × 8

=> 2 × 15

=> Area = 30cm²

Answer:

17

Step-by-step explanation:

F(5) means you replace/ substitute all x's with 5's

Therefore, it would look like this:

f(x) = 3x + 2

f(5) = 3(5) + 2

f(5) = 15 + 2

f(5) = 17

Answer:

53

Step-by-step explanation:

At first,

- 7 = 9 + x

By subtracting 9 from both sides, we get

-7-9=9+x-9

-16=x

Now,

By substituting the value of x in -3x + 5 , we get

-3x + 5

-3×(-16)+5

48+5

53

Answer:

machine language

Step-by-step explanation:

The computers in this generation used machine code as the programming language.

The machine language also referred to as the native language of the computer system is the first generation programming language. In the machine language, a programmer only deals with a binary number. They are translation free and can be directly executed by the computers.

Answer:

I think is -x + 105/42y

Step-by-step explanation:

2(3/10)x - 5/7y - 4(5/6)y - 2(4/5)x

6/10x - 5/7y - 20/6y - 8/5x

6/10x - 8/5x - 5/7y - 20/6y

6-16/10x - 35+140/42y

-10/10x + 105/42y

-x + 105/42y

Answer:

70 pages

Step-by-step explanation:

21pages / 3 mins = 7 pages per minute

7 pages * 10 minutes = 70 pages

Answer:

y = -2 x + 9

Step-by-step explanation:

you'll get the same equation because its linear.

Answer:

y = -2 x + 9 or c

Step-by-step explanation:

Answer:

720000 J

Step-by-step explanation:

The formula is

Work = Force * Distance

Here we have the weight force, which is calculated as w = m * g

acceleration of gravity (g) ≈ 10 m/s

people's mass (m) = 12 * 50 kg = 600 kg

So Force = 10 m/s * 600 kg = 6000 N

Distance = 120 m

Work = Force * Distance = 6000 N * 120 m = 720000 J = 720 kJ

The number of times a variable appears in a data set is Known as Frequency.

Frequency

The frequency of a particular data is the number of times the data value appears. Denote the frequency of a data value by f. For example, if 5 students got an A in science, the frequency of an A score is considered to be 5.

Frequency distributions are used to tabulate the collected data. Data can be scores given by students, temperatures in different cities, scores scored in volleyball matches, and so on. After data is collected, it needs to be presented in a meaningful way for better understanding. Organize your data so that all characteristics are summarized in a table. This is called a frequency distribution.

Types of Frequency distribution:

1. Group frequency distribution: Use group frequency distribution tables to organize large numbers of observations or data. By doing so, we create class intervals to calculate the frequency of data belonging to a particular class interval.

2. Ungrouped Frequency Distribution:  In an ungrouped frequency distribution table, we record the exact frequency of individual data without classifying them.

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Answer:

the width is 4

Step-by-step explanation:

7 times 4= 28

or

28 divided by 7

The probability that Cynthia's morning porridge will be just right is 15%.

Probability is defined as the likeliness of an event to happen. It can be determined by dividing the total number of the desired outcome by the total number of samples.

The sum of the probabilities in a probability distribution is always 1.

If there are three outcomes: too cold, just right, and too hot, then the sum of their probabilities is equal to 1 or 100%.

P(too cold) + P(just right) + P(too hot) = 100%

35% + P(just right) + 50% = 100%

P(just right) = 100 - (35 + 50)

P(just right) = 100 - 85

P(just right) = 15%

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A polynomial with real zeros -4, 0, and 3 and degree 3 can be written as:

(x + 4)(x - 0)(x - 3)

which simplifies to:

x^3 - 3x^2 - 4x

This polynomial has a degree of 3 and its real zeros are -4, 0, and 3.