Consider the second-order differential equation d^2/dy^2+49y = 4.5 sin(8t). Find the Particular Integral

After reducing all the book prices by 50%, the new median price is determined to be $7.70 (B)

To find the new median price after reducing all the book prices by 50%, we first need to calculate the reduced prices. By reducing each given price by 50%, we get $6.375, $7.40, $9.995, $4.975, $8.00, and $8.975 respectively.

Next, we arrange these reduced prices in ascending order: $4.975, $6.375, $7.40, $8.00, $8.975, and $9.995. The median is the middle value in this ordered list. Since there are six prices, the middle two values are $7.40 and $8.00.

To find the median, we take the average of these two values, which gives us ($7.40 + $8.00) / 2 = $7.70.

Therefore, the new median price, after reducing all the book prices by 50%, is $7.70 (B). This means that the median price of the books, after the reduction, is $7.70.

Learn more about Median

brainly.com/question/11237736

#SPJ11

The aditive inverse of a number is given by itself multiplied by -1. Then if we have any number x its additive inverse is -x and their sum is:

Then theanswer is the second option, 0.

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

The area of the vegetable garden is 16.5 square meters.

You can use the following formula to determine a trapezoid's area:

The trapezoid has a height of 3 meters, a base1 of 4 meters, and a base2 of 7 meters—area = (base1 + base2) * height / 2. When these numbers are put into the formula, we get:

Region = (4 + 7) * 3/2

= 11 * 3/2

= 33/2

= 16.5 square meters

Thusly, the region of the vegetable nursery is 16.5 square meters.

To know more about Area, visit

brainly.com/question/22972014

#SPJ11

Answer:

Step-by-step explanation:

55%  1,100 is 55% of 2,000

A type of statistical hypothesis known as a "null hypothesis" makes the case that a given set of observations does not have any statistical significance.

Using sample data, hypothesis testing is used to determine a hypothesis's credibility. It is represented as H0, and it is sometimes referred to as the "null."

Given; The average thickness and standard deviation of a sample of 50 eyeglass lens samples are 3.05 millimeters and.34 millimeters, respectively.

Such lenses should have a true average thickness of 3.20 mm. Utilizing a =.05

False hypothesis H0: Alternative hypothesis: mu1= mu2 HA: 'mu1' and 'ne'

Sample Size 50 Sample Mean 3.05 Sample Standard Deviation 0.34 Intermediate Calculations Standard Error of the Mean 0.0481 Degrees of Freedom 49 t Test Statistic -3.1196 Two-Tail Test Lower Critical Value -2.0096 Upper Critical Value 2.0096 p-Value 0.0030 Reject the null hypothesis

To learn more about Null hypothesis here

https://brainly.com/question/28920252

#SPJ4

Values of parameters n and p for the binomial distribution with mean 6 and variance 3.6 are n=15 and p=0.4, respectively.

In probability theory and statistics, the binomial distribution is a discrete probability distribution that describes the number of successes in a fixed number of independent and identical trials, where each trial can result in only two possible outcomes, often labeled as "success" and "failure".

The distribution depends on two parameters: the probability of success (p) and the number of trials (n). The probability of getting exactly k successes in n trials can be calculated using the binomial probability mass function.

The binomial distribution has applications in various fields, including quality control, genetics, and finance, among others.

We know that for a binomial distribution, the mean and variance are given by:

Mean = np

Variance = np(1-p)

Substituting the given values, we have:

Mean = 6

Variance = 3.6

Thus, we can write two equations:

6 = np

3.6 = np(1-p)

We can solve for n and p by substituting the first equation into the second equation:

3.6 = (6/p) * (1-p) * p

3.6 = 6 - 6p

6p = 6 - 3.6

p = 0.4

Substituting this value of p into the first equation, we get:

6 = n * 0.4

n = 6 / 0.4

n = 15

Therefore, the values of the parameters n and p are n = 15 and p = 0.4, respectively.

To learn more about binomial click :

https://brainly.com/question/29163389

#SPJ1

Answer:

C

Step-by-step explanation:

They are the same without rotation and translation

Answer:

x = 33.2

Step-by-step explanation:

Use Sine

Sine 56 = x / 40

Sine of 56 is 0.829

0.829 = x / 40

Multiply 40 on both sides

33.16 = x

Round to the nearest tenth

33.2

Trigonometry -

\( \frac{x}{40} = \frac{ \sin(56) }{1} \)

Cross multiply!

\(40 \sin(56) = x\)

Use your calculator to determine x.

Answer: X is approximately 33.2

Answer:

y=3

Step-by-step explanation:

Answer:

try 90 decided by 8 maybe that'll help

The figures are not congruent as their corresponding interior angles are not equal.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

From the given diagram we can see that the first figure is a square having side length 6 units each and all the interior angles measures 90° each.

Now the second figure is a rhombus which has side lengths of 6 units each but the interior angles are not of 90° but are equal to the opposite interior angles.

learn more about congruency here :

https://brainly.com/question/7888063

#SPJ1

Y=[-1,1] defines the f(x) = sin(x) range.

The [latex]y[/latex]-axis displays the collection of possible output values, or range. Remember that the domain and range of the graph may be larger than the values seen if the graph extends beyond the area that is visible.

Range refers to the collection of y values that the function is specified for.

We are aware that y = sin(x) has a maximum value of 1 and a minimum value of -1. This is evident from the sine function graph.

It indicates that the values of y are between (exclusively) -1 and 1.

Consequently, f(x) = sin(xrange )'s is given by

y=[-1,1].

Learn more about Range graph here:

brainly.com/question/2770116

#SPJ4

I'm sorry but help you one what?

I don't see any picture-

Answer:

d=6

Step-by-step explanation:

Answer: diameter is 6

Step-by-step explanation:

The expression (-3)4 means to multiply -3 by 4.

(-3)4 = -12

Therefore, the value of the expression (-3)4 is -12

Answer:

Um 1.5 is less than 16 so it wont be a mixed number.

Step-by-step explanation:

Did you type the question wrong?

Step-by-step explanation:

1.5 is the less that 16 that why it is the mixed fraction

Answer: 3

Step-by-step explanation:

Distribute the 5: 15x-5=40

Add 5 from both sides: 15x=45

Divide 15 by both sides: 3

Answer:

a-3

Step-by-step explanation:

5(3x-1)=40

15x-5=40

15x=40+5

15x=45

x=45/15

x=3

Answer:

Hello! answer: 308 HOPE THAT HELPS!

Answer:

W

Step-by-step explanation:

-3x + 2y = 8

2y = 3x + 8

y = 3/2x + 4

According to y = mx + b

m is slope which is 3/2

b is y-intercept which is 4

so W is the right answer

The cost of one rose bush is $2 and the cost of one bunch of grass is $17.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, Norachai and Rain each improved their yards by planting rose bushes and grass.

Let the cost of rose bushes be x and the cost of bunches of grass be y.

Norachai spent $209 on 11 rose bushes and 11 bunches of grass.

Now, 11x+11y=209

x+y=19 --------(i)

Rain spent $40 on 3 rose bushes and 2 bunches of grass.

3x+2y=40 --------(ii)

Substitute x=19-y in equation (ii), we get

3(19-y)+2y=40

57-3y+2y=40

57-40=y

y=17

Substitute y=17 in equation (i), we get

x=2

Therefore, the cost of one rose bush is $2 and the cost of one bunch of grass is $17.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ1

The number on round off to each place will be 45,621.

The decimal number is rounded to any place by the following concept -

We look at the number to the right of concerned digit. If that number is more than five or exactly five, then we add 1 to our number. However, if it is less than five, then the number remains same.

For instance, if we round 45.621 to nearest tenth, we will get 45.6. This is because on right to it, the number 2 is less than 5. Now, in the mentioned digit which is 45,621, we see there is no decimal and number after that. So, as the digits are 0 which is less than 5, the number will remain as it is.

Learn more about round off -

https://brainly.com/question/26921352

#SPJ4

Answer:

14

Step-by-step explanation:

Answer:

14m squared

Step-by-step explanation:

2.5×2=5

5÷2=2.5

2.5 is the area for each triangle and there are four triangles altogether so

2.5×4=10

to find the square do 2×2=4

so 4m+10m=14m

By following the steps above, you will find the balance in both scenarios and the increase in balance when the annual interest rate increases by 1 percent.

the balance and increase in the balance in two different scenarios, given a continuous compounding interest formula.

First, let's define the given variables and formula:
- Amount: Initial investment, which is $10,000.
- Balance: The total amount in the account after a certain period.
- Integer: A whole number, without decimal points.
- Formula: Balance = 10,000 * e^(0.01 * r * t), where r is the annual interest rate and t is the time in years.

Scenario (a):
1. Find the balance for 5 years (t) with an interest rate of 3% (r).
2. Balance = 10,000 * e^(0.01 * 3 * 5).
3. Calculate the balance and round to an integer.

Scenario (b):
1. Find the balance for 5 years (t) with an interest rate of 4% (r).
2. Balance = 10,000 * e^(0.01 * 4 * 5).
3. Calculate the balance and round to an integer.
4. Find the increase in balance by subtracting the balance from scenario (a) from the balance in scenario (b).

By following the steps above, you will find the balance in both scenarios and the increase in balance when the annual interest rate increases by 1 percent.

to know more about integers click here:

https://brainly.com/question/929808

#SPJ11

Answer: 24

Step-by-step explanation:

1. Number Them

Elf and Dwarf = 1

Hobbit = 2

Wizard = 3

Man = 4

* Elf and Dwarf are put together so that they are always sitting together

2. Multiply

1 x 2 x 3 x 4 = 24

In this case, we must use our trigonometric equations to help us solve this problem:

    ⇒ look at the diagram attached

Let's examine what the problem wants:

Let's examine what the problem gives us:

Let's solve:

  \(tan(41)=\frac{12}{x} \\12=x*tan(41)\\x=\frac{12}{tan(41)} \\x=13.80\)

Answer: 13.8 (rounded to nearest tenth)

Hope that helps!

Answer:

sureeee what's uppp!!!:)

what do you need help with,

Answer:

Step-by-step explanation:

51.1

Answer:

Step-by-step explanation:

answer: 51.1

Answer:

Step-by-step explanation:

Answer:

11 +5x=y

y-11-5x=0

Step-by-step explanation: