5x + 2y = -10
Graph the equation

The percentage increase of the function from g(x) over the interval x = 8 to x = 9, is 100%. The correct option is therefore;

Increase by 100%

A percentage increase is the representation of the increase of a quantity over an interval as a percentage.

Whereby the function is expressed as follows;

g(x) = 2ˣ

The value of the function at the values x = 8, and x = 9, are;

g(x) = 2ˣ

g(8) = 2⁸ = 256

g(9) = 2⁹ = 512

The percentage increase is therefore;

Percentage increase = ((g(9) - g(8))/g(8)) × 100

Percentage increase = ((2⁹ - 2⁸)/(2⁸)) × 100

2⁸ × ((2 - 1)/(2⁸)) × 100 = 100%

Therefore, the change of g(x) over the interval from x = 8 to x = 9 is an increase of 100%

Learn more on percentages here: https://brainly.com/question/11642822

#SPJ1

Answer:

2&6and3&7

Step-by-step explanation:

I am sure of it

Answers are 2 and 6, 4 and 8, anddd 3 and 7.

So A, D, and E

a. The mean is 11.00 (correct)

b. The mean is 14.70 (incorrect)

c. The median (the 50th percentile) is 7.00 (correct)

d. The median (the 50th percentile) is 10.75 (incorrect)

5, 6, 7, 15, 22

The mean is calculated by adding up all the numbers and dividing by the total count:

Mean = (5 + 6 + 7 + 15 + 22) / 5 = 11

So option a. The mean is 11.00 is correct.

The median (the 50th percentile) is the middle number when the dataset is arranged in ascending order. Since we have an odd number of values, the median is the middle value itself.

So option d. The median (the 50th percentile) is 10.75 is incorrect.

The median of the dataset is 7 since it is the middle number when the dataset is arranged in ascending order.

So option c. The median (the 50th percentile) is 7.00 is correct.

learn more about median here:

https://brainly.com/question/300591

#SPJ11

The equivalent pair of the expression is x² + 18x + 17

Algebraic expressions are simply defined as expression that are composed of variables, terms, constants, factors, and coefficients.

These algebraic expressions are also made up of mathematical or arithmetic operations.

These operations are listed as;

From the information given, we have that the expression is;

(x + 1)(x + 17)

expand the bracket by multiplying the values

x² + 17x + x + 17

Now, add the like terms, we have;

x² + 18x + 17

Learn more about algebraic expressions at: https://brainly.com/question/4344214

#SPJ1

The Taylor polynomial of order 3 based at a=1 for the function \(f(x) = e^{(2^x)\) is \(P_3(x) = e^2 + 2e^2ln(2)(x-1) + (4ln^2(2)e^2 + 2e^2ln(2))(x-1)^2/2! + (8ln^3(2)e^2 + 12ln^2(2)e^2 + 2e^2ln(2))(x-1)^3/3!.\)

The Taylor polynomials of orders 0, 1, 2, and 3 generated by f(x) = 7ln(x) at a=1 are:

\(P_0(x) = 0\\P_1(x) = 7x - 7\\P_2(x) = 7x - 7 - 7(x-1)^2/2\\P_3(x) = 7x - 7 - 7(x-1)^2/2 + 14(x-1)^3/3\)

The Taylor polynomials of orders 0, 1, 2, and 3 generated by f(x) = 3/x at x=4 are:

\(P_0(x) = 3/4\\P_1(x) = 3/4 - 3/16(x-4)\\P_2(x) = 3/4 - 3/16(x-4) - 3/64(x-4)^2\\P_3(x) = 3/4 - 3/16(x-4) - 3/64(x-4)^2 + 3/256(x-4)^3\)

To find the Taylor polynomial of order 3 based at a=1 for the function \(f(x) = e^{(2^x)\), we need to find the derivatives of f at x=1 and evaluate them at a.

The derivatives of \(f(x) = e^{(2^x)\) are:

\(f'(x) = 2^x * e^(2^x) * ln(2)\\f''(x) = (2^x * ln(2))^2 * e^(2^x) + 2^x * e^(2^x) * ln(2)\\f'''(x) = (2^x * ln(2))^3 * e^(2^x) + 3 * (2^x * ln(2))^2 * e^(2^x) * ln(2) + 2^x * e^(2^x) * ln(2)\)

Evaluating the derivatives at x=1:

\(f'(1) = 2 * e^2 * ln(2)\\f''(1) = (2 * ln(2))^2 * e^2 + 2 * e^2 * ln(2)\\f'''(1) = (2 * ln(2))^3 * e^2 + 3 * (2 * ln(2))^2 * e^2 * ln(2) + 2 * e^2 * ln(2)\)

The Taylor polynomial of order 3 based at a=1 is given by:

\(P_3(x) = f(1) + f'(1)(x-1) + f''(1)(x-1)^2/2! + f'''(1)(x-1)^3/3!\)

To find the Taylor polynomials of orders 0, 1, 2, and 3 generated by f(x) = 7ln(x) at a=1, we need to evaluate the function and its derivatives at x=1.

f(1) = 7ln(1)

= 7 * 0

= 0 (constant term)

f'(x) = 7 * 1/x

f'(1) = 7 * 1/1

= 7

\(f''(x) = -7/x^2\\f''(1) = -7/1^2\\ = -7\)

\(f'''(x) = 14/x^3\\f'''(1) = 14/1^3 \\= 14\)

The Taylor polynomial of order 0 is simply the constant term: P0(x) = f(1) = 0.

The Taylor polynomial of order 1 is:

\(P_1(x) = f(1) + f'(1)(x-1)\)

= 0 + 7(x-1)

= 7x - 7

The Taylor polynomial of order 2 is:

\(P_2(x) = f(1) + f'(1)(x-1) + f''(1)(x-1)^2/2! \\= 0 + 7(x-1) - 7(x-1)^2/2\)

The Taylor polynomial of order 3 is:

\(P_3(x) = f(1) + f'(1)(x-1) + f''(1)(x-1)^2/2! + f'''(1)(x-1)^3/3!.\)

To know more about Taylor polynomial,

https://brainly.com/question/32514042

#SPJ11

Answer:

Use Pythagoras to get opposite

Step-by-step explanation:

After that use sin or cos or tan to get the angle

Answer:

Sorry I can't give you a straight answer, but here is the formula:

The formula for frequency is: f (frequency) = 1 / T (period). f = c / λ = wave speed c (m/s) / wavelength λ (m). The formula for time is: T (period) = 1 / f (frequency). λ = c / f = wave speed c (m/s) / frequency f (Hz).

Hope it helps! I'm not very good at physics, sorry. :)

Answer:

2

Step-by-step explanation:

If 30% of seven chocolates are chocolate fudge, that would mean that 2.1 of those chocolates are the former. You could find this by doing the following format when finding the percentage of something:

30% = 0.30 = (0.30 x 7) = 2.1

Since there cannot be 2.1 chocolates, then your answer would be 2 chocolates.

By following these steps, you can make 250 mL of a 2.0 M aqueous NaCl solution from the pure salt.

1. Determine the amount of NaCl needed: Use the formula M = moles of solute/L of the solution to find the moles of NaCl needed. In this case, M = 2.0 M and L = 0.250 L, so moles of NaCl = (2.0 M)(0.250 L) = 0.5 moles.

2. Convert moles to grams: Use the molar mass of NaCl (58.44 g/mol) to convert moles to grams. In this case, grams of NaCl = (0.5 moles)(58.44 g/mol) = 29.22 g.

3. Measure out the NaCl: Use a scale to measure out 29.22 g of NaCl.

4. Add the NaCl to water: Add the measured amount of NaCl to 250 mL of water and stir until the salt is completely dissolved.

5. Check the solution: Use a conductivity meter or other method to check that the solution is at the desired concentration.

For more similar questions on concentration:

brainly.com/question/23364227

#SPJ11

The probability is 0.4647.

To learn more about probability from the given link :

https://brainly.com/question/9793303

#SPJ4

If one bead were randomly selected, the likelihood that it would be green is 40.9090%.

According to the question, given that

10 red beads, 3 blue beads, and 9 green beads are all contained in a bag. if just one bead was chosen at random

The likelihood that the bead will be green

⇒ \(\frac{9}{10 + 3 + 9}\)

⇒  \(\frac{9}{22}\)

⇒ 0.409 ≈ 40.9090 %

Therefore, probability of  one bead was chosen at random that the bead is green = 40.9090 %

determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is. In the probability scale, 0 indicates an impossibility and 1 indicates a certainty. Probability is an important subject for Class 10 students because it teaches all of the subject's essential concepts. Every event's probability in a sample space is one.

To learn more about probability visit here : https://brainly.com/question/11234923

#SPJ4

The probability that a single bead would be green if chosen at random is 40.9090%.

In response to the query, assuming that

A bag contains ten red beads, three blue beads, and nine green beads. suppose a single bead were picked at random

a bead's chance of being green

= 9/10+3+9

= 9/22

= 0.409 ≈ 40.9090 %

Therefore, probability of  one bead was chosen at random that the bead is green = 40.9090 %

Utilize probability to ascertain the likelihood of something happening. Many things are difficult to foresee with absolute confidence. Using it, we can only predict the likelihood of an event occurring or how likely it is. On the scale of probabilities, 0 denotes impossibility and 1 denotes certainty. For pupils in Class 10, probability is a crucial subject because it covers all of the subject's key ideas. In a sample space, the chance of each event is 1.

The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

maximize: z = c1x1 + c2x2 + ... + cnxn

subject to

a11x1 + a12x2 + ... + a1nxn ≤ b1

a21x1 + a22x2 + ... + a2nxn ≤ b2

am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i

In our case,

the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x

subject to:

x1 + x2 - x3 ≤ 5

6x1 + 5x2 - x4 ≤ 10

xi ≥ 0 for all i

We can rewrite the constraints as follows:

x1 + x2 - x3 + x5 = 5  (adding slack variable x5)

6x1 + 5x2 - x4 + x6 = 10  (adding slack variable x6)

Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:

x1 = x7

x2 = x8

x3 = x9

x4 = x10

The objective function becomes:

z = 36x7 + 30x8 - 3x9 - 4x10

Now we have the problem in standard form as:

maximize: z = 36x7 + 30x8 - 3x9 - 4x10

subject to:

x7 + x8 - x9 + x5 = 5

6x7 + 5x8 - x10 + x6 = 10

xi ≥ 0 for all i

To apply the simplex algorithm, we initialize the simplex tableau as follows:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |   0    |  36    |   30   |   -3   |   -4   |    0    |

---------------------------------------------------------------------------

x5|   0   |   1    |   0    |   1    |   1    |   -1   |   0    |    5    |

---------------------------------------------------------------------------

x6|   0   |   0    |   1    |   6    |   5    |   0    |   -1   |   10    |

---------------------------------------------------------------------------

Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:

Iteration 1:

1. Choose the most negative coefficient in the 'z' row, which is -4.

2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 5/0 = undefined, 10/(-4) = -2.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to

make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |  0.4   |  36    |   30   |   -3   |   0    |   12    |

---------------------------------------------------------------------------

x5|   0   |   1    |  -0.2  |   1    |   1    |   -1   |   0    |   5     |

---------------------------------------------------------------------------

x10|   0  |   0    |   0.2  |   1.2  |   1   |   0    |   1    |   2.5   |

---------------------------------------------------------------------------

Iteration 2:

1. Choose the most negative coefficient in the 'z' row, which is -3.

2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |  0.8   |  34    |   30   |   0    |   4    |   0     |

---------------------------------------------------------------------------

x5|   0   |   1    |  -0.4  |   0.6  |   1    |   5   |   -2   |   10    |

---------------------------------------------------------------------------

x9|   0   |   0    |   1    |   6    |   5    |   0   |   -5   |   12.5  |

---------------------------------------------------------------------------

Iteration 3:

No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:

z = 0

x1 = x7 = 0

x2 = x8 = 10

x3 = x9 = 0

x4 = x10 = 0

x5 = 10

x6 = 0

Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

Learn more about Simplex Algorithm here:

https://brainly.in/question/46895640

#SPJ11

Answer:

15

Step-by-step explanation:

Depth of well = No. of turns × length of one turn

Given:   Depth of well = 9.89m = 989cm          [1m = 100cm]

Let number of turns be x

Length of one turn = 2πr or π×diameter

Now , 989=x×π×21

989=x×(22/7)×21

x=989×7/(22×21)

x=14.98 ≈15 turns    

[Number of turn never be in decimals]

Hence number of  15 complete turns of the handle required to bring up the bucket

Answer:

yes it would be

Therefore, the exact value of sec²(θ) is 7.

What is trigonometry?

The branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry.

We can use the trigonometric identity:

tan²(θ) + 1 = sec²(θ)

Substituting tan²(θ) = 6 into the identity gives:

sec²(θ) = tan²(θ) + 1

sec²(θ) = 6 + 1

sec²(θ) = 7

Learn more about trigonometry on:

https://brainly.com/question/13729598

#SPJ1

Therefοre, the exact value οf sec²(θ) is 7.

Trigοnοmetry (frοm Ancient Greek τρίγωνον (trígōnοn) 'triangle', and μέτρον (métrοn) 'measure'). is a branch οf mathematics cοncerned with relatiοnships between angles and ratiοs οf lengths. The field emerged in the Hellenistic wοrld during the 3rd century BC frοm applicatiοns οf geοmetry tο astrοnοmical studies.

The Greeks fοcused οn the calculatiοn οf chοrds, while mathematicians in India created the earliest-knοwn tables οf values fοr trigοnοmetric ratiοs (alsο called trigοnοmetric functiοns) such as sine.

Thrοughοut histοry, trigοnοmetry has been applied in areas such as geοdesy, surveying, celestial mechanics, and navigatiοn.

We can use the trigonometric identity:

tan²(θ) + 1 = sec²(θ)

Substituting tan²(θ) = 6 into the identity gives:

sec²(θ) = tan²(θ) + 1

sec²(θ) = 6 + 1

sec²(θ) = 7

Learn more about trigonometry on:

https://brainly.com/question/13729598

#SPJ1

EXPLANATION

The division is equal to:

First we need to write the problem in long division format:

8.0 /_ 9.92

Divide 9 by 8 to get 1:

1

8.0 /_ 9.92

Multiply the quotient digit (1) by the divisor 8:

1

8.0 /_ 9.92

8

Subtract 8 from 9:

1

8.0 /_ 9.92

8

1

Add a decimal point to the solution

Bring down the next number of the dividend

1.

8.0 /_ 9.92

8

19

The value of ∠BAC is 50°. Hence, the correct option is 50º.Given, AD is tangent to circle B at point C. ∠ABC = 40°.We need to find the value of ∠BAC.Therefore, let's solve this problem below:As AD is tangent to circle B at point C, it forms a right angle with the radius of circle B at C.

∴ ∠ACB = 90°Also, ∠ABC is an external angle to triangle ABC. Therefore,∠ABC = ∠ACB + ∠BAC = 90° + ∠BACNow, putting the value of ∠ABC from the given information, we get,40° = 90° + ∠BAC40° - 90° = ∠BAC-50° = ∠BAC

Therefore, the value of ∠BAC is 50°. Hence, the correct option is 50º.

To know more about tangent visit:

https://brainly.com/question/10053881

#SPJ11

Answer:

Step-by-step explanation:

10 + 3(7)

10 + 21

= 31

Answer:

31

Step-by-step explanation:

You can use BODMAS rule here to Simplify an expression and do not have to worry about which to do first multiply or addition.

2(5) + 3(4+3)

= 10 + 3(7)

= 10 + 21

=31

Answer:

2 x 7

Step-by-step explanation:

4 x 7 = 28

Since you want doubled, we have to half to find start.

28/2 = 14

Only solid equation that equals 14 is 2 x 7

And since 4 is a double of 2, the answer checks out

The multiplication fact that can be doubled to find 4 x 7 is

2 x 7.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4 x 7 = 28

Now,

The multiplication of 2 x 7 = 14.

If 2 x 7 is double we get,

2 x (2 x 7) = 2 x 14 = 28

Thus,

The multiplication fact is 2 x 7.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Answer:

Step-by-step explanation:

One equivalent can be obtain by distributing multiplication with 3 over subtraction 5-2i

3(5-2i) =

3·5 -3·2·i =

15 -6i or -6i +15

After using  the principle of multiplication for calculation. The total amount of time needed to wait in line is 16 minutes.

here,

We need to implement the principle of multiplication .So looking at the question it is given to us that there are 8 cars present in front at the bank drive-through, and the total time taken by the clerk is 2 minutes.

therefore,

Total time needed to wait in line is

= Number of cars in line * Time taken by the clerk

= 8 x 2

= 16 minutes

After using  the principle of  multiplication. The total amount of time needed to wait in line is 16 minutes.

To learn more about  multiplication,

https://brainly.com/question/1135170

#SPJ4

Answer:

x = 6/5

Step-by-step explanation:

x-4        4x-9

------ = ----------

2             3

Using cross products

3 * (x-4) = 2 ( 4x-9)

Distribute

3x-12 = 8x-18

Subtract 3x from each side

3x-12-3x = 8x-18-3x

-12 = 5x-18

Add 18 to each side

-12+18 =5x-18+18

6 = 5x

Divide by 5

6/5 = 5x/5

6/5 =x

The solution of the mathematical statement is 102.5

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

"What is -5/2 times -41"

This means that

-5/2 times -41

Express as numbers

So, we have

-5/2 * -41

Divide 5 by 2

So, we have

-2.5 * -41

Evaluate the product

102.5

Hence, the result is 102.5

Read more about expressions at

https://brainly.com/question/4344214

#SPJ1

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

To learn more about factor click here

brainly.com/question/26923098

#SPJ11

Rotation of PQRS by 90 degree.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's final shape and location. What are the four mathematical transformations?

Translation, rotation, reflection, and enlargement. You must be able to carry out each transformation and recognize which ones have already been done.

To know more about geometric figure visit:-

brainly.com/question/11266123

#SPJ1

The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Read more about similar triangles here:https://brainly.com/question/14285697

#SPJ1

Answer:

By drawing rectangles, splitting them into sixths, and shading in the numbers we're adding to get a final sum of 5 4/6, or 5 2/3.

Step-by-step explanation:

1/6 is basically half of 1/3, so if we're making a fraction model we can just divide rectangles into sixths. You can draw maybe 7, because you know that 4+1 is going to be 5. Draw the rectangles and divide them each into 6. 1/3 is just going to be 2 sections of that rectangle. You can shade in first 4 whole rectangles, then 1 to represent the whole numbers. For 2/6, just shade in 2 sections! For 1/3, shade in 2 as well, because 1/3 and 2/6 are equivalent. Count up your rectangles and sections, and you should get a sum of 5 4/6, which can be simplified into 5 2/3.

Hope this helps! If you need clarification, or if I didn't answer the question right, you can ask!

Demographics variables include the characteristics of a population, similar as age, gender, race, education, income, occupation, and geographic position.

 Demographic shifts can have a conspicuous impact on the request in the coming 10 times. One of the significant demographic shifts is the growing population.

The growing population will have a conspicuous impact on the healthcare request as they need further medical care as they progress.

The growing population also has an impact on the casing request as they're looking to reduce or move to withdrawal communities. Another demographic shift that will have a conspicuous impact on the request is the increase in diversity in the population.

The increase in diversity will impact the food and libation request as different societies have different salutary requirements and preferences. It'll also impact the marketing fashion request as different societies have different fashion styles and preferences.

An illustration of a folklore is the LGBTQ community. The unique marketing aspect of this folklore is the need for addition and acceptance. Companies can reach out to this folklore by featuring LGBTQ individualities in their announcements. An illustration of this is the recent Coca- Cola announcement featuring a same- coitus couple.

Learn more about marketing here:

https://brainly.com/question/27155256

#SPJ11

Answer: 185.7 miles

Step-by-step explanation:

To find the total distance, add the smaller distances together.

47.8 + 72 + 65.9 = 185.7