use the laplace transform to solve the given initial-value problem. y'' y = 2 sin( 2 t), y(0) = 6, y'(0) = 0

Answer:

Left box:  1/2n

Right box = 2n - 22

Step-by-step explanation:

Since we want one-half the number and n represents the unknown number, we have 1/2n on the left-hand side of the equation.

Thus, you want to put 1/2n in box on the left.

Twice the number and 22 less than this is given by:  y: 2n - 22 less than this means we subtract.  Thus, we have 2n - 22 as the numerator on the right hand side of the equation.

Thus, you want to put 2n - 22 in the box on the right.

The possible range of the measurement is 211.43 to 216.57

The range in statistics for a given data set is the difference between the highest and lowest values.

The range could also be defined as the difference between the highest observation and lowest observation.

The obtained result is called the range of observation.

In the given question it is given measurement 214oz ± 1.2%

To find the range first we need to find its minimum and maximum value.

So,

1.2% of 214 = 0.012×214

=2.568

Rounding off to nearest hundredths

=2.57

Then the minimum possible value is

214-2.57=211.43

And the maximum possible value is

214+2.57=216.57

So the range would be between 211.43 to 216.57

To learn more about range,

https://brainly.com/question/2264373

#SPJ9

a. When adding two vectors, each of magnitude 1 m, the resultant does not necessarily have a magnitude of 2 m. The magnitude of the resultant vector depends on the angle between the two vectors being added.
b. If vectors A and B satisfy the equation A + B = 0, it means that the vectors have equal magnitudes and opposite directions.

a. When adding vectors, the magnitude of the resultant vector is determined by the vector addition rule, which takes into account both the magnitudes and the directions of the vectors being added. In the case of adding two vectors, each of magnitude 1 m, the resultant vector can have a magnitude ranging from 0 to 2 m, depending on the angle between the vectors. If the vectors are in the same direction, the resultant magnitude is 2 m, and if they are in opposite directions, the resultant magnitude is 0 m.
b. When vectors A and B satisfy the equation A + B = 0, it means that their vector sum is the zero vector. This implies that the vectors have equal magnitudes and opposite directions. The magnitudes of A and B are equal, and their directions are opposite, which means they are collinear and point in opposite directions along the same line. In other words, vector A can be thought of as the negative of vector

Learn more about vvector hhere:

https://brainly.com/question/24256726

#SPJ11

a. When adding two vectors, each of magnitude 1 m, the resultant does not necessarily have a magnitude of 2 m. The magnitude of the resultant vector depends on the angle between the two vectors being added.

b. If vectors A and B satisfy the equation A + B = 0, it means that the vectors have equal magnitudes and opposite directions.

a. When adding vectors, the magnitude of the resultant vector is determined by the vector addition rule, which takes into account both the magnitudes and the directions of the vectors being added. In the case of adding two vectors, each of magnitude 1 m, the resultant vector can have a magnitude ranging from 0 to 2 m, depending on the angle between the vectors. If the vectors are in the same direction, the resultant magnitude is 2 m, and if they are in opposite directions, the resultant magnitude is 0 m.

b. When vectors A and B satisfy the equation A + B = 0, it means that their vector sum is the zero vector. This implies that the vectors have equal magnitudes and opposite directions. The magnitudes of A and B are equal, and their directions are opposite, which means they are collinear and point in opposite directions along the same line. In other words, vector A can be thought of as the negative of vector

Learn more about vector hhere:

brainly.com/question/24256726

#SPJ11

Answer:   The larger number is 40.

The smaller number is 19

Step-by-step explanation:

x + (x-21) = 59   This is the number and the  number difference add to 59.

x + x = 59 + 21    Add 21 to both sides. Combine like terms.

2x = 80  divide both sides by 2

x= 40 This is the first number.  Subtract 21 to get the second number

40 - 21 = 19

The difference between 40 and 19 is 21.

19 + 40 = 59

______________________

Not sure why this is in the question "Smaller number: 0

2.

One teaspoon of sugar is approximately equal to 4 grams. Therefore, a breakfast with 20 grams of sugars would contain approximately 5 teaspoons of sugar.

To determine the number of teaspoons of sugar in a breakfast containing a total of 20 grams of sugars, we need to convert grams to teaspoons. The conversion from grams to teaspoons depends on the density and type of the substance being measured.

In the case of granulated sugar, which is commonly used in breakfast foods, it is generally accepted that 1 teaspoon of sugar is approximately equal to 4 grams. This conversion factor can vary slightly based on factors such as moisture content and packing density, but for practical purposes, using 4 grams per teaspoon provides a reasonable estimate.

Using this conversion, we can divide the total grams of sugars (20 grams) by the grams per teaspoon (4 grams) to find the number of teaspoons. The calculation would be 20 grams / 4 grams per teaspoon = 5 teaspoons. Therefore, a breakfast containing 20 grams of sugars would equate to approximately 5 teaspoons of sugar.

To know more about equal refer here:

https://brainly.com/question/33293967

#SPJ11

The number of necklaces Channing can make from chain is A = 3 necklaces

Given data ,

Channing uses 16 1/4 inches of chain to make one necklace

To find out how many necklaces Channing can make from a chain that is 48 3/4 inches long, we need to divide the length of the chain by the length required for one necklace.

the mixed number 48 3/4 to an improper fraction:

48 3/4 = (48 * 4 + 3)/4 = (192 + 3)/4 = 195/4

Now, we can calculate the number of necklaces:

Number of necklaces = Length of chain / Length required for one necklace

= (195/4) / (16 1/4)

= (195/4) / (65/4)

On simplifying the fraction , we get

= (195/4) (4/65)

= (195 * 4) / (4 * 65)

= 780 / 260

A = 3

Hence , Channing can make 3 necklaces from a chain that is 48 3/4 inches long

To learn more about fractions click :

https://brainly.com/question/29766013

#SPJ1

Answer: Length = 17 ft

Concept:

Here, we need to know how to find the perimeter of a rectangle.

Perimeter (rectangle) = 2 (l + w)

l = length

w = width

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

**Disclaimer** I assume that the length is [3 feet longer than twice its width] because a [yard] would not use length to measure it. If it was, then you may refer to my answer. If it was not, then you may tell me and I will redo it.

Let x be the width

Let 2x + 3 be the length

Given information

Perimeter = 48 ft

width = x

length = 2x + 3

Given expression deducted from the question

Perimeter = 2 (l + w)

Substitute values into the expression

48 = 2 (2x + 3 + x)

Combine like terms in the parentheses

48 = 2 (2x + x + 3)

48 = 2 (3x + 3)

Expand parentheses and apply the distributive property

48 = 2 · 3x + 2 · 3

48 = 6x + 6

Subtract 6 on both sides

48 - 6 = 6x + 6 - 6

42 = 6x

Divide 6 on both sides

42 / 6 = 6x / 6

x = 7

Find the value of length

Length = 2x + 3 = 2(7) + 3 = 14 + 3 = \(\boxed{17}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

ight so combine the 14x and the 4x thats 18x then divide by 18 90 divided by 18 is 5 so x is 5

Step-by-step explanation:

The standard error of the mean is $128.125.

Sample size, N = 256

Mean Sample Price: $35,420

$2,050 is the standard deviation.

Mean Standard Error,

The confidence interval of the mean is calculated as follows:

Om = o ÷ sqrt(N)

Om is equal to the sample distribution's mean standard deviation, where o is the sampling distribution's standard deviation of a statistic.

n = sample size

So, using the supplied as a substitute for the formula:

Om = $2,050 ÷ sqrt(256)

Om = $2,050 ÷ 16

= $128.125

Consequently, $128.125 is the sample standard deviation of the mean.

Learn more about the standard error at

https://brainly.com/question/16860381?referrer=searchResults

#SPJ4

(a). O The entire student body (the 17,000 students) and (b). O the 200 students interviewed are the answers to the above-asked question. This is a multiple-choice question about statistics sampling and population. The inquiry inquires about the problem's population of interest and sample.

The answers to the above statistics-based questions can be stated as,

(a) O The population of interest in this topic is the whole student body of the institution, which has 17,000 students because the student senate wants to know what percentage of all students support changing the grading system.

(b) O The sample in this problem consists of the 200 students who were questioned to determine their attitudes toward the proposed change in the grading system. They represent a subset of the overall student body and are used to estimate the percentage of all students who support the change.

Learn more about statistics:

https://brainly.com/question/15980493

#SPJ11

Answer:

n=9

Step-by-step explanation:

it is n=9...................

Answer:

3(9-5)^2 ÷8

3(4)^2÷8

3(16)÷8

3(2)=6

Answer:

6

Step-by-step explanation:

9-5=4

=4

3×4^2 ÷ 8

4^2=16

3×16 ÷8

3×16=48

48÷8=6

Answer:

$3,096

Step-by-step explanation:

To find the total interest Mr. Quesada will pay, we need to first calculate the total amount he will pay back, and then subtract the original amount borrowed.

The total amount Mr. Quesada will pay back over 24 months is:

$629 x 24 = $15,096

Subtracting the original loan amount, we get:

$15,096 - $12,000 = $3,096

So Mr. Quesada will pay a total of $3,096 in interest over the course of the loan.

Answer:

(3*10^3)+(5*10^2)+(6*10)+0*10^0

Step-by-step explanation:

This is the expanded form of the number

Its very easy lol

-Scorpio

Answer:

3000+500+60+0

Step-by-step explanation:

The best way to determine which brands of orange juice people prefer is to conduct an experiment. In this experiment, passerbys in a supermarket are asked to taste different brands of orange juice without knowing which brand they are drinking, and which one they prefer.

After tasting each brand, they would be asked to indicate their preference. This type of experiment is known as a blind taste test. An observational study would not be effective in this situation, as it is unable to tell which brand people prefer.

The experiment and observational study are types of research. Observational research and experimental research are two methods of conducting research.

Observational research requires the researcher to observe participants in their natural setting, and experimental research requires the researcher to control the conditions and manipulate the independent variable. The experiment is a type of research in which the researcher manipulates one variable to determine if there is a causal relationship between the independent variable and the dependent variable.

The people at the supermarket who were asked to taste different brands of orange juice without knowing which brand they were drinking and which one they preferred are an example of an experiment.

This type of study is an example of a taste test experiment, which is a common technique used by food and drink manufacturers to determine which products consumers prefer.

To know more about experiment, refer here:

https://brainly.com/question/11256472#

#SPJ11

The solutions are:

1st part:

Part A: Rewriting the expression so that the greatest common factor (GCF) is factored completely is 2y(x³ + 9x - 5x - 45).

Part B: Rewriting the expression completely factored is 2y(x² + 9)(x - 5).

2nd part:

Part A:  each side is 3x+4

Part B: one side is  (4x-5y), and the other side is (4x+5y)

3rd part:

The vertex of the function is a minimum and the coordinate of the vertex of the function is (0.2, -2.4)

Here, we have,

1st part:

Here,

In order to rewrite the expression so that the greatest common factor (GCF) is factored completely, we would determine the coefficients of the expression as follows:

2x³y + 18xy − 10x²y − 90y

The coefficients include the following:

2, 18, 10, 90

The greatest common factor (GCF) of the above listed coefficients is equal to two (2) while y is the common term for the variables x³y, xy, x²y, and y.

Therefore, the greatest common factor (GCF) of this expression is 2y and it should be factored as follows:

2x³y + 18xy − 10x²y − 90y = 2y(x³ + 9x - 5x - 45)

Part B.

Rewriting expression completely factored, we have:

2x³y + 18xy − 10x²y − 90y = 2xy(x² + 9) - 10y(x² + 9)

2x³y + 18xy − 10x²y − 90y = (x² + 9)(2xy - 10y)

2x³y + 18xy − 10x²y − 90y = (x² + 9)2y(x - 5)

2x³y + 18xy − 10x²y − 90y = 2y(x² + 9)(x - 5)

2nd part:

part A

9x² +24x+16=

(3x)² +24x +4²=

(3x+4)² = (3x+4)(3x+4) so each side is 3x+4

Part B

16x² -25y²= (4x)² -(5y)²= (4x-5y)(4x+5y)

so one side is  (4x-5y), and the other side is (4x+5y)

3rd part:

The vertex of the function is a minimum and the coordinate of the vertex of the function is (0.2, -2.4)

Part A: What are the x-intercepts of the graph of f(x)

The function is given as:

f(x) = 5x^2 + 2x - 3

Expand the function

f(x) = 5x^2 + 5x - 3x - 3

Factorize the function

f(x) = (5x - 3)(x + 1)

Set the function to 0

(5x - 3)(x + 1) = 0

Solve for x

x = 3/5 and x =-1

Hence, the x-intercept is 3/5 and -1

Part B : Is the vertex of the graph of f(x) going to be a maximum or a minimum?

The vertex of the function is a minimum.

This is so because the leading coefficient of the function is positive

Here, we have:

f(x) = 5x^2 + 2x - 3

Differentiate and set to 0

10x + 2 = 0

Solve for x

x = -0.2

Substitute x = -0.2 in f(x) = 5x^2 + 2x - 3

f(0.2) = 5(0.2)^2 + 2(0.2) - 3

Evaluate

f(0.2) = -2.4

Hence, the vertex of the function is (0.2, -2.4)

Part C: What are the steps you would use to graph f(x)?

To do this, we simply plot the x-intercept and the vertex.

And then connect the points.

Read more about quadratic functions at:

brainly.com/question/23680118

#SPJ1

Answer:

6/16

Step-by-step explanation:

3/8 x 2 = 6/16

Answer:

round          score

1                    -2

2                   -6

3                   -4

4                   -4

Step-by-step explanation:

round 1 score = 70 - 72 = -2, it is under par because the score i slower than 72 (par)

round 2 score = 66 - 72 = -6, it is under par because the score i slower than 72 (par)

round 3 score = 68 - 72 = -4, it is under par because the score i slower than 72 (par)

round 4 score = 68 - 72 = -4, it is under par because the score i slower than 72 (par)

An integer is a whole number (not a fraction or decimal) that can be either positive or negative.

the answer is b.) (4,2)

*sigh* :(

1) Rewrite the given differential equation: The given differential equation is y dx - 6(x + y^8) dy = 0. We can rewrite it as: y dx = 6(x + y^8) dy

2. Separate variables:
Now, separate the variables x and y:
(y/6) dx = (x + y^8) dy

3. Integrate both sides:
Integrate both sides of the equation with respect to their corresponding variables:

∫(y/6) dx = ∫(x + y^8) dy

(1/12)xy = (1/2)xy + (1/9)y^9 + C

4. Solve for x(y):
To find the general solution in form x(y), rearrange the equation: x(y) = 3y^8 + Cy^6

5. Find the largest interval:
To find the largest interval over which the general solution is defined, consider the domain of y.

The general solution is defined for all y except y = 0 (since this would result in a division by zero). Therefore, the largest interval is: (-∞, 0) ∪ (0, ∞)

6. Determine transient terms:
Since the general solution does not contain any terms that tend to zero as y approaches infinity, there are no transient terms. So the answer is: NONE

To know more about term click here

brainly.com/question/19774850

#SPJ11

Caput succedaneum refers to common benign edema that crosses cranial suture lines and midline that appears on an infant's scalp shortly after birth.

Caput succedaneum is swelling (edema) that affects a newborn's scalp. It most commonly occurs from pressure on the head as the baby moves through the birth canal during a prolonged or difficult vaginal delivery. In caput succedaneum (kuh-PUT sec-seh-DAY-knee-um), fluid builds underneath the scalp, causing swelling.

Learn more about Soft Tissues at:

https://brainly.com/question/31710727

#SPJ4

The given question is incomplete, so i take similar question

What is swelling that crosses the suture lines on the newborn's head called?

If the total ticket sales was $ 2630, the theater sold 178 children's tickets, 99 student tickets, and 89 adult tickets.

Let's represent the number of children as "C", the number of students as "S", and the number of adults as "A".

We know that:

A = 0.5C (there are half as many adults as students)

C + S + A = 363 (the total number of people attending)

5C + 7S + 12A = 2630 (the total ticket sales)

We can use the first equation to substitute for A in the second and third equations:

C + S + 0.5C = 363

1.5C + S = 363

5C + 7S + 12(0.5C) = 2630

5C + 7S + 6C = 2630

11C + 7S = 2630

Now we have two equations with two variables (1.5C + S = 363 and 11C + 7S = 2630). We can solve for one variable in terms of the other in the first equation for tickets:

S = 363 - 1.5C

Substitute this expression for S in the second equation:

11C + 7(363 - 1.5C) = 2630

Simplify and solve for C:

11C + 2541 - 10.5C = 2630

0.5C = 89

C = 178

Now we can substitute this value for C in the expression we found for S:

S = 363 - 1.5(178)

S = 99

And we can use the first equation we found to solve for A:

A = 0.5C

A = 0.5(178)

A = 89

Thus, the theater sold 178 children's tickets, 99 student tickets, and 89 adult tickets.

For more details regarding sales, visit:

https://brainly.com/question/29857652

#SPJ1

Answer:

what's your exact question?

Answer:

Linear

Step-by-step explanation:

It is linear because it is leaking at a constant rate

a. The probability that 1 or more nonconforming units are found is 0.2311.

b. The probability that exactly 3 units are nonconforming is 0.000058.

a. To solve the problem, you can use the complement rule. The complement rule states that the probability of an event occurring is 1 minus the probability of the event not occurring. So, in this case, the probability that no nonconforming units are found in a sample of 25 units is:

P(no nonconforming) = (0.99)²⁵ = 0.787.

Therefore, the probability that 1 or more nonconforming units are found is:

P(1 or more nonconforming) = 1 - P(no nonconforming) = 1 - 0.787 = 0.213.

Rounded to four decimal places, this is 0.2311.

b. To solve the problem, you can use the binomial probability formula:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k).

Here, n = 25 is the sample size, k = 3 is the number of nonconforming units, and p = 0.01 is the probability of a unit being nonconforming.

Using the formula, we get:

P(X=3) = (25 choose 3) * (0.01)³ * (0.99)²² = 2300 * 0.000001 * 0.5459 = 0.000058.

Rounded to six decimal places, this is 0.000058.

Learn more about probability here: https://brainly.com/question/30390037

#SPJ11

Answer:

18/3 cannot be written as an integer

Answer:

Step-by-step explanation:

V=(1/3)hπr^2

<=> 4487 = 1/3x21πxr^2

<=> r^2 = 641/π

<=> r = squrt( 641/π)

The (instantaneous) rate of change of \($f(t)$\) when \($t=3$\) is 9. Given that \($f(t)=t^2+3t-4$\).

(a) What is the average rate of change of \($f(t)$\) over the interval 3 to 4?

The average rate of change of \($f(t)$\) over the interval [3,4] is given by:

\($$\begin{align*}\frac{f(4)-f(3)}{4-3}&=\frac{(4)^2+3(4)-4-[(3)^2+3(3)-4]}{1}\\ &=\frac{16+12-4-9-9+4}{1}\\ &=\frac{10}{1}\\ &=10 \\\end{align*}\)

Therefore, the average rate of change of \($f(t)$\)over the interval 3 to 4 is 10.

(b) What is the (instantaneous) rate of change of \($f(t)$\) when \($t=3$\)?

The instantaneous rate of change of \($f(t)$\) at \($t=3$\) is given by:

\($$\begin{align*}\lim_{h\to0}\frac{f(3+h)-f(3)}{h}&=\lim_{h\to0}\frac{(3+h)^2+3(3+h)-4-[(3)^2+3(3)-4]}{h}\\ &=\lim_{h\to0}\frac{9+6h+h^2+9+3h-4-9}{h}\\ &=\lim_{h\to0}\frac{h^2+9h}{h}\\ &=\lim_{h\to0}(h+9)\\ &=9\\\end{align*}\)

Therefore, the (instantaneous) rate of change of \($f(t)$\) when\($t=3$\) is 9.

To know more about rate of change visit:

https://brainly.com/question/29181502

#SPJ11

Answer:

360

Step-by-step explanation:

The formula is (n-2)180 -> 6(180) = 1080

1080/8=135

135 is the measure of one interior angle so the exterior has to equal 45 for one side.

45 x 8=360

The answer is 360