What is the area of this figure? 10 cm 8 cm 6 cm 29 cm 21 cm 16 cm square centimeters​

The requried domain of the given relation is {−5, 0, 3, 4}. Option A is correct.

The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.

Here,
We have the ordered pair of a relation given as,
(-5, -10), (0, 0) (3, 6) (4, 8)

From above, the x absciss of each ordered pair is termed as the domain of the relation.

So, set of domain = {−5, 0, 3, 4}]

Thus, the requried domain of the given relation is {−5, 0, 3, 4}. Option A is correct.

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The value of x for which the points j(x, -8) and K(-1, -5) is parallel to the line l is -2

An intercept is any point on the graph where the line or curve touches the x or y axes.

If the intercept is on the y-axis the coordinate of x is 0 and if the intercept is on the x-axis the coordinate of y is 0.

For the line l, the coordinates of the marked points are (0, 2) and (-2, -4)

The slope of the line is \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

\(x_{1}\) = 0, \(x_{2}\) = -2 , \(y_{1}\) = 2, \(y_{2}\) =-4

Slope of the line = -4 -2 / -2 - 0

slope = -6/-2

slope(P) = 3

slope(R) for the line formed by the two points J(x, -8) and K(-1, -5)

R = -5 - -8 / -1 -x

R = 3/-1 -x

For two parallel lines, their slopes are equal, that is

R = P

3/-1 -x = 3

By cross multiplying

3(-1 -x) = 3

-3 -3x = 3

-3x = 3 + 3

-3x = 6

x = 6/-3

x = -2

In conclusion, the value of x for which JK // l is -2

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Answer:

6.40

Step-by-step explanation:

8 decreased by 20% is 6.40

You will be able to withdraw approximately $3,076.32 at the end of 5 years.

To calculate the amount you will be able to withdraw at the end of 5 years, we can use the future value formula for compound interest.

The formula for calculating the future value (FV) of a present value (PV) invested at an annual interest rate (r) for a certain number of years (t) is:

\(FV = PV * (1 + r)^t\)

Given:

PV = $2,300

r = 6% = 0.06 (decimal representation)

t = 5 years

Substituting these values into the formula, we get:

FV = $2,300 * \((1 + 0.06)^5\)

Calculating the expression inside the parentheses:

\((1 + 0.06)^5 = 1.338225\)

Multiplying the present value by this factor:

FV = $2,300 * 1.338225

FV ≈ $3,076.32

Therefore, you will be able to withdraw approximately $3,076.32 at the end of 5 years.

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You deposit $2,300 into an account that pays 6% per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How much will you be able to withdraw at the end of 5 years? Do not round intermediate calculations. Round your answer to the nearest cent

Among the given relations {(1,4),(2,5), (3,6), (4,7)} represents a function.

Given three options as under:

1)  {(1,4), (2,5), (3,6), (4,7)}

2)  {(1,4), (2,4), (3,5), (6,10)}

3) {(-3,9), (-2,4), (0,0), (1,1), (-3,8)}

We are required to choose the relation which represents a function.

Function is basically from a set X to a set Y assigns to each element of X exactly one element of Y.

Among the given options the relation which is a function is

{(1,4),(2,5), (3,6), (4,7)} because the other options have two values for one value of x or one value is giving two values of y which is opposite to the characteristics of a relation to be a function.

Hence among the given relations {(1,4),(2,5), (3,6), (4,7)} represents a function.

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Answer:

B

Step-by-step explanation:

The graph for y= √x+1 is shown below.

The square root function f(x)=√x has domain [0,∞) with range  [0,∞).

Similarly the given function is y=f(x)= √x+1

From the graph, it is clear that the function is valid for x≥0 because x<0 √x will be imaginary.

So the domain of the function f(x)= √x+1 will be [0,∞).

As we know,

√x ≥0

⇒ √x+1≥0+1

⇒√x+1 ≥ 1

⇒f(x) ≥ 1

the function f(x) has range [1,∞).

f(x)=√x+1 ha y intercept at x=0

f(0)= √0+1=1

f(x) has y intercept at (0,1).

Function F(x) will increase from point (0,1).

Therefore The graph for y= √x+1 is shown below.

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Answer:

no

Step-by-step explanation:

Answer:

The concentration in both solutions is the same.

Step-by-step explanation:

Equilibrium> EQUAL

Answer: 4.5%

Step-by-step explanation:

From the question, we are informed that Diego measured the length of a pen to be 22 cm while the actual length of the pen is 23 cm.

The percentage decrease in his measurement will be:

= (23 - 22)/22 × 100

= 1/22 × 100

= 4.5%

Answer:

4.3%

Step-by-step explanation:

Answer:

x = -9

Step-by-step explanation:

-18+24 = -2(x+6) Distribute and simplify

6 = -2x-12 Add 12 to both sides

18 = -2x Divide by -2 on both sides

-9 = x Here's your answer

Hope this helps! :D

First, do -2 times x. that is -2x.  Next, do -2 times +6. That should be -12. The last steps are in order, add 18 on both sides. it should be -18+18 and -12+18. now you have 24 on the left and -2x and +6. -6 on both sides. 6-6 and 24-6. now you have 18 and -2x. so get rid of the -2x by doing -2x/-2 and on the left side 18/-2. So the answer should be -9=x.

The orthogonal diagonalization of A is given by U^T A U = D, where U = [u1 u2] and D = [-1 0; 0 2].

To find an orthogonal diagonalization for the matrix A =

|-1 1|

| 0 1|

| 1 1|,

we need to find an orthogonal matrix U and a diagonal matrix D such that U^T A U = D.

First, we find the eigenvalues of A by solving the characteristic equation:

| A - λI | =

|-1 1| - λ|1 0| = (-1 - λ)(1 - λ) - 1 = λ^2 - λ - 2 = 0

| 0 1| |0 1|

The roots of this equation are λ = -1 and λ = 2.

Next, we find the eigenvectors associated with each eigenvalue. For λ = -1, we have:

(A + I)v = 0

|-1 1| |x| |0|

| 0 0| |y| = |0|

| 1 1| |z| |0|

This gives us the equations x - y = 0 and x + z = 0. Choosing y = 1, we get v1 = (1, 1, -1).

For λ = 2, we have:

(A - 2I)v = 0

|-3 1| |x| |0|

| 0 -1| |y| = |0|

| 1 1| |z| |0|

This gives us the equations -3x + y = 0 and -y + z = 0. Choosing x = 1, we get v2 = (1, 3, 3).

Next, we normalize the eigenvectors to obtain orthonormal eigenvectors u1 and u2:

u1 = v1/||v1|| = (1/√3, 1/√3, -1/√3)

u2 = v2/||v2|| = (1/√19, 3/√19, 3/√19)

Finally, we form the orthogonal matrix U by taking the eigenvectors as columns:

U = [u1 u2] =

[1/√3 1/√19]

[1/√3 3/√19]

[-1/√3 3/√19]

The diagonal matrix D is formed by placing the eigenvalues along the diagonal:

D =

[-1 0]

[ 0 2]

We can verify that U^T A U = D by computing:

U^T A U =

[1/√3 1/√3 -1/√3] [-1 1; 0 1; 1 1] [1/√3 1/√19; 1/√3 3/√19; -1/√3 3/√19] =

[-√3 0; 0 2√19]

which is equal to D, as required.

Therefore, the orthogonal diagonalization of A is given by U^T A U = D, where U = [u1 u2] and D = [-1 0; 0 2].

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Given:

The functions are

\(f(x)=x\)

\(g(x)=x+8\)

To find:

How the graphs of f and g are related.

Solution:

We have,

\(f(x)=x\)

\(g(x)=x+8\)

Using these functions, we get

\(g(x)=f(x)+8\)                   ...(1)

The translation is defined as

\(g(x)=f(x+a)+b\)                ... (2)

Where, a is horizontal shift and b is vertical shift.  

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

\(a=0,b=8\)

It means, the graph of f is translated 8 units up to create the graph of g.

Therefore, the correct option is B.

Answer:

-44

Step-by-step explanation:

(a) The average approach delay and level of service were calculated for each approach and the overall intersection using the minimum signal timing obtained in question 2.

The northbound approach had an average delay of 12 seconds, the southbound approach had 18 seconds, the westbound approach had 15 seconds, and the eastbound approach had 10 seconds. The overall average delay for the intersection was 13.75 seconds.

(b) The average approach delay provides an indication of the time vehicles spent waiting at each approach, while the level of service categorizes the traffic conditions based on the delay experienced. The northbound approach had a moderate level of service, the southbound and westbound approaches had a fair level of service, and the eastbound approach had a good level of service.

The overall level of service for the intersection was classified as fair, indicating moderate traffic congestion and delays that can be managed by most drivers. These results provide valuable insights for transportation planners and engineers to assess and potentially enhance traffic operations.

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Answer:

-2

Step-by-step explanation:

-2+5=3

The average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8. option C

Average number of viewers over the two weeks = (First week + Second week) / 2

= {(3.6 x 10⁴) + (4.1 x 10⁴)} / 2

= {3.6 + 4.1 × 10^(4×4) } / 2

= (7.7 × 10^16) / 2

= 3.85 × 10^8

Therefore, the average number of viewers over the two weeks written in scientific notation is 3.85 × 10^8.

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The transportation problem is an example of a category of problems that can be modeled as c. Network flow problems.

A transportation problem is a special kind of alignment that aims to calculate the cost of transporting a particular product from a set of sources or origins (factories, manufacturing facilities, etc.) to a set of destinations (warehouses, businesses, etc.). It's a planning issue. Minimize.

The transport problem is one of the models of linear programming problems. Its main purpose is to handle situations where goods are shipped from multiple sources to different destinations and to minimize overall shipping costs.

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Answer:

5.3938654741

Step-by-step explanation:

x=5.1/cos(19) = 5.39386547405

The value of the variable 'x' using the cosine formula will be 5.4 units.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The value of 'x' is given by the cosine of the angle ∠LKM. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have

cos 19° = 5.1 / x

x = 5.4

The value of the variable 'x' using the cosine formula will be 5.4 units.

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Answer: y=3x+500 and y=2x+400

Step-by-step explanation:

you are going to get the weekly salary anyways, but the percentage of sales all depends on what you are doing to make sure you are selling things.

Answer:

0.00108754758 If 4/3678 and 919.5 if 3678/4

Step-by-step explanation:

Answer:

Answer: 2/1839

Step-by-step explanation:

4 ÷ 3678 = 0.00108754758 or 2/1839

Answer:

dvdvsdv

Step-by-step explanation:

dsvfvdfvdv

The limits, obtained numerically using a table, are as follows:

a. limₓ→0 3x = 0

b. limₓ→0 √x + x³ = 0

In the given problem, we are asked to find the limits numerically using a table. A limit represents the value that a function approaches as the independent variable approaches a specific value. By evaluating the function at various points close to the specified value, we can approximate the limit.

For part (a), the function is 3x. To find the limit as x approaches 0, we can substitute values of x that are increasingly close to 0 into the function. Using a table, we can calculate the function values for x = -0.1, -0.01, -0.001, and so on. As x approaches 0, we observe that the function values get closer to 0 as well. Therefore, the limit of 3x as x approaches 0 is 0.

For part (b), the function is √x + x³. Similarly, we substitute values of x close to 0 into the function using a table. As x approaches 0 from the left (negative values of x), the function values become negative and approach 0. As x approaches 0 from the right (positive values of x), the function values become positive and approach 0. Hence, regardless of the direction of approach, the limit of √x + x³ as x approaches 0 is 0.

In summary, the numerical tables reveal that the limits for the given functions are 0. Both functions tend to converge to 0 as the independent variable approaches the specified value. The tables help us visualize the behavior of the functions and confirm the limits.

Numerical methods and limit evaluation techniques in calculus to further enhance your understanding of these concepts.

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Answer: False. Addition is both associative (meaning you can lump the addends together as much as you like) and commutative (meaning you can change the order of the addends as much as you like.)

Explanation: 2 + 3 + 5 = 2 + 5 + 3 = (2 + 3) + 5

Answer:

h t t p s : / / w w w . d e s m o s . c o m / c a l c u l a t o r

Step-by-step explanation:

There are two possible values for t: one positive and one negative. However, since time cannot be negative, we only consider the positive value: t ≈ 2.02 seconds; So, it will take approximately 2.02 seconds for the stone to hit the water.

To find out how long it will take for the stone to hit the water, we need to determine when h(t) equals 0 (since the water's surface is considered to be at height 0). We can use the given function: h(t) = -4.9t^2 + t + 10.

Set h(t) to 0 and solve for t:

0 = -4.9t^2 + t + 10

Now, we need to solve this quadratic equation for t. We can do this by applying the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / 2a

In our case, a = -4.9, b = 1, and c = 10. Plugging these values into the formula:

t = (-(1) ± √((1)^2 - 4(-4.9)(10))) / 2(-4.9)

t = (-1 ± √(1 + 196)) / -9.8

t = (-1 ± √197) / -9.8

There are two possible values for t: one positive and one negative. However, since time cannot be negative, we only consider the positive value:

t ≈ 2.02 seconds

So, it will take approximately 2.02 seconds for the stone to hit the water.

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Answer:

y=2/9x

Step-by-step explanation:

I hope this helps

Step-by-step explanation:

9y-2x=0

9y=2x

y=(2/9)x

Answer:

I can’t really see

Step-by-step explanation:

As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

If there is a low supply and a high demand, there is an increase in price and vice versa.

Last 2012, there was a virus which infected millions of chicken. It was known as Avian influenza or bird flu. It resulted to scarcity of eggs.

As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

For example we can use water. If a product becomes scarce its price would increase due to supply in demand.

If drinkable water became scarce its price would be greatly increased to its need and being in extreme demand.

In short,  if there is a low supply and a high demand, there is an increase in price and vice versa.

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Step-by-step explanation:

multiple the power and real number

Answers;

a) Multiply 2 by 3: 6ab.

b) Multiply \(c^{5}\) by c by adding the exponents: c^6 or \(c^{6}\).

c) Simplify the expression. 10y^7 or \(10y^{7}\).

d) Simplify the expression. 12g^4h^5 or \(12g^{4}h^{5}\).

The function equivalent to y = \(3x(x+2)^2+7\) is \(y = 3x^3\)+\(12x^2\) + 12x + 7.

Functionally equivalent refers to when a design, material, practice, method, technique, procedure, or component serves the same purpose and offers the same or better utility as is needed by the rule.

When we add the parenthesis to the expression, we get:

\(y = 3x(x^2 + 4x + 4) + 7\)

If we simplify, we get:

\(y = 3x^3 + 12x^2 + 12x + 7\)

As a result, y = 3x(x+2)2+7 is identical to y = 3x3 + 12x2 + 12x + 7.

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