I WILL GIVE YOU BRAINLIEST IF YOU HELP me

Answer:

A: 16

Step-by-step explanation:

difference is +12

4 + 12= 16

The length of the rectangle is 19 cm.

The formula for the area of a rectangle,

Area = Length x Width

Given that the area is 336 cm squared.

So, we can set up an equation,

⇒ 336 = (w + 5)w

where w represents the width of the rectangle.

Expanding this equation,

⇒ 336 = w² + 5w

Moving all terms to one side:

⇒ w² + 5w - 336 = 0

This is a quadratic equation that we can solve using the quadratic formula,

⇒ w = (-5 ± √(5² - 4(1)(-336))) / (2(1))

⇒ w = (-5 ± 23) / 2

We'll take the positive value,

⇒ w = 14

So, the width of the rectangle is 14 cm.

We also know that the length is 5 cm more than the width,

Therefore,

⇒ l = w + 5

⇒ l = 14 + 5

⇒ l = 19

Therefore, the length of the rectangle is 19 cm.

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Answer:

h 6

Step-by-step explanation:

Answer:

option 4

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 4\(x^{4}\) - 6x³ + 2x + 4 - (5x³ - 7x² - 3x + 7) ← distribute parenthesis by - 1

= 4\(x^{4}\) - 6x³ + 2x + 4 - 5x³ + 7x² + 3x - 7 ← collect like terms

= 4\(x^{4}\) - 11x³ + 7x² + 5x - 3

3% means 1.03 per year

multiplier 1.03

After 30 years

400 x[ (1.03) 30 times] = $970.91

The constants that have to multiply to eliminate one variable from the system are 12 and 5.

The equations are

5x+13y = 232

12x + 7y = 218

Elimination Method

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables

Both x term and y terms, choose x terms  and apply the elimination method

The coefficient of x in the first equation is 5 and 12 in the second equation

Coefficient is a number that is being multiplied by the variable. 2x+6x+14. The 2x, 6x, and 14 are terms because they are being added together. 2 and x; 6 and x are factors because they are being multiplied together. 2 from 2x and 6 from 6x are the coefficients because they are being multiplied by the variable.

To make it the same

Prime factorization

Prime factorization is a process of writing all numbers as a product of primes.

5 = 5×1

12 = 2×2×3

LCM (5, 12 ) = 2×2×3×5 = 60

Multiply the first equation by 12 and the second equation by 5

60x + 156y = 2784

60x + 35y = 1090

Subtract equation 2 from equation 1

121y = 1694

Eliminated x term

The constants that we have to multiply to eliminate one variable from the system are 12 and 5

The complete question is:

Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x + 13y = 232

12x + 7y = 218

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The solution to the given initial value problem, y'' 2y' + 2y = δ(t-π), with y(0) = 4 and y'(0) = 2 is given by:  y(t) = 4 + 2t + e-t (1 + eπ-t)-1.


To arrive at this answer, we must use the definition of the Dirac delta function to solve the given equation. We know that δ(t-π) = 0 for all t ≠ π, and that it is an impulse at t = π. This means that the left side of the equation (y'' 2y' + 2y) is equal to 0 for all t ≠ π. This equation can be solved using the method of undetermined coefficients, and the general solution of this homogeneous equation is yh = c1et + c2e-t.

To solve for the particular solution of this equation, we use the given initial conditions of y(0) = 4 and y'(0) = 2. Using this information, we solve for the constants c1 and c2 in the general solution and the particular solution is yp = 4 + 2t + e-t (1 + eπ-t)-1. This is the solution to the given initial value problem.

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Answer:

Answer is (1,3,5,6,7,9)

Answer:

719

– ___

6

Step-by-step explanation:

= 1/6 + 5252 + 65 + 89 + 12 - 15 - 874 - 85 × 54 - 0 - 059

= 1/6 + 5252 + 65 + 89 + 12 - 15 - 874 - 4590 - 0 - 059

= 1/6 + 4529 - 4590 - 059

= 1/6 + (-120)

= 719

— ___

6

The given equation is verified using double angle identities showing that 2cos^4(x) - 2sin^4(x) = 4cos(2x)

To use the double angle identities, we can start with the identity:

cos(2x) = cos^2(x) - sin^2(x)

We can rearrange this to get:

cos^2(x) = (1 + cos(2x))/2

sin^2(x) = (1 - cos(2x))/2

Substituting these into the left-hand side of the equation we want to verify, we get:

2cos^4(x) - 2sin^4(x)

= 2(cos^2(x))^2 - 2(sin^2(x))^2

= 2[(1 + cos(2x))/2]^2 - 2[(1 - cos(2x))/2]^2

= (1 + cos(2x))^2 - (1 - cos(2x))^2

= 1 + 2cos(2x) + cos^2(2x) - 1 + 2cos(2x) - cos^2(2x)

= 4cos(2x)

Thus, we have shown that:

2cos^4(x) - 2sin^4(x) = 4cos(2x)

So, the given equation is verified using double angle identities.

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Answer:

A. y=3x-2

hope this help

Answer:

137 ft²

Step-by-step explanation:

The shop is rectangular in shape. The area of a rectangle is given by:

Area = length * width

Since the length of the shop = 20 ft and the width = 10 ft, therefore:

Area of the shop = length * width = 20 ft * 10 ft = 200 ft²

The part that would not be tiled is of triangular shape. The area of a triangle is given as:

Area = (1/2) * base * height

The base of the triangle = 18 ft, the height = 7 ft. Hence:

Area of non tiled part = (1/2) * base * height = (1/2) * 18 ft * 7 ft = 63 ft²

The total square feet of tile needed to complete the job = Area of shop - Area of non tiled part

The total square feet of tile needed to complete the job = 200 ft² - 63 ft² = 137 ft²

Answer:

$11.10

Step-by-step explanation:

1 small package = $2.40

1 large package = $2.90

1 small package + 3 large packages.

2.40 + (3 × 2.90)

=2.40 + 8.70

=11.1

Answer:

$11.10

Step-by-step explanation:

This problem can be modeled by 2.4x+2.9y=c

x=small packages

y=large packages

c=total cost

By plugging in the values you get 2.4(1)+2.9(3)=c

2.4+8.7=c

c=11.1

Therefore the total cost is $11.10

Answer:

Length of empty space=3cm

Step-by-step explanation:

YOU CAN FIND THE COMPLETE SOLUTION IN THE GIVEN ATTACHMENT

I HOPE IT HELPED YOU

Answer:

Roger can earn $510 at most.

Step-by-step explanation:

We are given the function



Which gives the earnings of Roger when he sells v videos. Since the play’s audience consists of 230 people and each one buys no more than one video, v can take values from 0 to 230, i.e.  



That is the practical domain of E(v)

If Roger is in bad luck and nobody is willing to purchase a video, v=0

If Roger is in a perfectly lucky night and every person from the audience wants to purchase a video, then v=230. It's the practical upper limit since each person can only purchase 1 video

In the above-mentioned case, where v=230, then



Roger can earn $510 at most.

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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Answer:

Step-by-step explanation:

15. (-4-3)/(-5-0)= -7/-5= 7/5

      y - 3 = 7/5x - 0

      y = 7/5x + 3

16. (-2-3)/(4-0)= -5/4

     y - 3 = -5/4x - 0

     y = -5/4x + 3

17. (-3+5)/(0+3)= 2/3

    y + 5 = 2/3(x + 3)

     y + 5 = 2/3x + 2

     y = 2/3x - 3

18. (-2-2)/(0+4)= -4/4= -1

       y - 2 = -1(x + 4)

       y - 2 = -x - 4

       y = -x - 2

19. y - 3 = 1/2x - 0

     y = 1/2x + 3

20. y - 2 = -(x + 1)

      y - 2 = -x - 1

      y = -x + 1

21. perp. -5/3

y + 5 = -5/3x  + 0

 y = -5/3x - 5

22. perp. 1/2

   y + 1 = 1/2(x + 4)

   y + 1 = 1/2x + 2

   y = 1/2x + 1

23. perp. 3/4

   y + 5 = 3/4(x + 4)

   y + 5 = 3/4x + 3

   y = 3/4x - 2

24. perp. 7/5

 y - 4 = 7/5(x - 5)

 y - 4 = 7/5x - 7

 y = 7/5x - 3

Based on the table provided, the annual premium for a Whole Life insurance policy with a face value of $76,429 for a healthy 26-year-old female would be $1,099.05 (option b).

To determine the annual premium for a 26-year-old healthy female interested in a Whole Life insurance policy with a face value of $76,429, follow these steps:

1. Locate the correct age and gender in the provided table: For a 26-year-old female, the Whole Life premium rate is $14.77 per $1,000 of face value.
2. Calculate the premium based on the face value: Divide the face value by 1,000 ($76,429 / 1,000 = 76.429).
3. Multiply the premium rate by the result from step 2: ($14.77 * 76.429 = $1,128.86233).
4. Round the result to the nearest cent: $1,128.86.

So, the annual premium for the Whole Life insurance policy for a 26-year-old healthy female with a face value of $76,429 is $1,128.86 (Option C).

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Answer:

Area of circle is 9π cm²

Step-by-step explanation:

- If area of the area of the square is 36 cm², the length of one side of a square can be found;

\({ \rm{area \: of \: square = side \times side}} \\ { \rm{36 = {x}^{2} }} \\ { \rm{x = \sqrt{36} }} \\ { \rm{x = 6 \: cm}}\)

- If you make a clear observation from the figure, length of a square corresponds to the diameter of a circle;

\({ \rm{radius = \frac{1}{2} \times length \: of \: square }} \\ \\ { \rm{r = \frac{1}{2} x}} \\ \\ { \rm{r = \frac{1}{2} \times 6 }} \\ \\ { \rm{r = 3 \: cm}}\)

- Therefore, let's find the area;

\({ \rm{area = \pi {r}^{2} }} \\ { \rm{area = \pi {(3)}^{2} }} \\ { \rm{area = 9\pi \: {cm}^{2} }}\)

\({ \boxed{ \red{ \delta}}}{ \underline{ \mathfrak{ \: creed \: ...}}}\)

The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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Creating an instance of your relational schema with sample data provides a practical way to validate, optimize, and enhance your schema design. It assists in ensuring data integrity, improving performance, facilitating application development, and supporting training and documentation efforts.

Creating an instance of a relational schema with sample data is a good idea for several reasons:

Testing and Validation: Creating a sample instance allows you to test and validate the structure and functionality of your relational schema. It helps ensure that the schema design accurately represents the real-world entities, relationships, and constraints. By populating the schema with sample data, you can verify that the schema can handle the expected data types, constraints, and operations.

Data Integrity and Consistency: Sample data helps you identify and address any potential data integrity issues or inconsistencies in your schema. By inserting representative data into the tables, you can check if the defined constraints, such as primary key and foreign key relationships, are working correctly. This helps maintain the integrity and accuracy of the data stored in your schema.

Performance Optimization: Testing your schema with sample data allows you to analyze and optimize the performance of your database queries and operations. By evaluating the response times and execution plans for different queries, you can identify any bottlenecks, indexing issues, or inefficient query designs. This knowledge can guide you in making improvements to optimize the performance of your database system.

Application Development and Debugging: Creating an instance with sample data provides a realistic environment for application development and debugging. It allows developers to interact with the data, test various functionalities, and identify and fix any issues early on. This iterative process helps ensure that the application is working as intended and aligns with the requirements specified by the schema.

Training and Documentation: Having a sample instance with data can serve as a valuable resource for training purposes and documentation. It allows users, administrators, or other stakeholders to familiarize themselves with the schema structure, understand the relationships between tables, and learn how to interact with the data effectively. It also helps in creating comprehensive documentation that includes examples and illustrations based on real-world scenarios.

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The relationship between the amounts loaned from each bank be, x + y = 9000

and the relationship between the interests earned for the first year be, 3x + 8y = 60000

Given, John is taking out student loans from two banks.

The first bank offers 3% apr compounded annually.

The second bank offers 8% apr compounded annually.

John took out a combined total of $9000 in loans and the total interest for the first year was $600.

Let x represent the amount of money loaned at 3%. let y represent the amount loaned at 8%. a.

(i) amount from first bank be, x

and the amount from second bank be, y

so, x + y = 9000

(ii) interest for the first year from first bank is,

3x/100

and the interest for the first year from second bank is,

8y/100

so, 3x/100 + 8y/100 = 600

3x + 8y = 60000

Hence, the relationship between the amounts loaned from each bank be, x + y = 9000

and the relationship between the interests earned for the first year be, 3x + 8y = 60000

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Answer:

Step-by-step explanation:

the new one will tell you be

The probability that you are not one of the first four students chosen is 0.75 or 75%.

For the first selection, the probability that you are not chosen is:

(16 - 1) / 16 = 15 / 16

For the second selection, the probability that you are not chosen is:

(16 - 1 - 1) / (16 - 1) = 14 / 15

For the third selection, the probability that you are not chosen is:

(16 - 1 - 1 - 1) / (16 - 1 - 1) = 13 / 14

For the fourth selection, the probability that you are not chosen is:

(16 - 1 - 1 - 1 - 1) / (16 - 1 - 1 - 1) = 12 / 13

To find the probability that you are not one of the first four students chosen, we multiply these probabilities together:

(15/16) x (14/15) x (13/14) x (12/13) = 0.75

Therefore, the probability that you are not one of the first four students chosen is 0.75 or 75%.

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Answer:

Total different numbers = 400

Step-by-step explanation:

Assume;

Smallest number bigger than 7999( multiple of 5) = 8,000

largest 4 digit number multiple of 5) = 9,995

Computation:

a = 8,000

d = 5

an = 9,995

an = a + (n-1)d

9,995 = 8,000 + (n-1)5

1,995 = (n-1)5

399 = n-1

n = 400

Total different numbers = 400

Answer:

Rowing speed: 10.6 miles per hour
speed of the current: 3.8 miles per hour.

Step-by-step explanation:

Let the team's rowing speed in still water be "x" and the speed of the current be "c".

x + c = 14.4

x - c = 6.8

(x + c) + (x - c) = 14.4 + 6.8

2x = 21.2

x = \(\frac{21.2}{2}\)

x = 10.6

10.6 + c = 14.4

c = 14.4 - 10.6

c = 3.8

The team's rowing speed in still water is 10.6 miles per hour, and the speed of the current is 3.8 miles per hour.

Answer:

i don't exactly know what the question is but based off what i understand x=140

Step-by-step explanation:

Answer:

what are you trying to solve, be more elaborate on your question

Step-by-step explanation:

The function (g+h)(n-4) is the sum of the function g(n-4) and h(n-4) will be written as (g+h)(n-4) = n² - 7n + 9.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

g(n) = n² + 4n

h(n) = - 3n - 3

The function (g+h)(n) is calculated as,

(g+h)(n) = g(n) + h(n)

(g+h)(n) = n² + 4n - 3n - 3

(g+h)(n) = n² + n - 3

Put n = n - 4, then we have

(g+h)(n-4) = (n - 4)² + (n - 4) - 3

(g+h)(n-4) = n² + 16 - 8n + n - 4 - 3

(g+h)(n-4) = n² - 7n + 9

The function (g+h)(n-4) will be (g+h)(n-4) = n² - 7n + 9.

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Answer:

Step-by-step explanation:

gradient = 5 = [k-(-1)]/[6-2]

[k+1]/4 = 5

k+1=20

k=19

The value of k in the line that passes through the points A(2, -1) and (6, k) with a gradient of 5 is found to be 19 by using the formula for gradient and solving the resulting equation for k.

To find the value of k in the line that passes through the points A(2, -1) and (6, k) with a gradient of 5, we'll use the formula for gradient, which is (y2 - y1) / (x2 - x1).

The given points can be substituted into the formula as follows: The gradient (m) is 5. The point A(2, -1) will be x1 and y1, and point B(6, k) will be x2 and y2. Now, we set up the formula as follows: 5 = (k - (-1)) / (6 - 2).

By simplifying, the equation becomes 5 = (k + 1) / 4. To find the value of k, we just need to solve this equation for k, which is done by multiplying both sides of the equation by 4 (to get rid of the denominator on the right side) and then subtracting 1 from both sides to isolate k. So, the equation becomes: k = 5 * 4 - 1. After carrying out the multiplication and subtraction, we find that k = 20 - 1 = 19.

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Answer:

It's option 2

Step-by-step explanation:

parallel to the x-axis basically means that it mirrors the x-axis since parallel lines have the same slope. since the question wants the graph with the line that is also below the x-axis, the correct graph would be option 2

Answer:

Option 2 is parallel to the x axis because only option 1 and 2 are a line across and option 1 is 3.2 units above.