What is the result when 6x3 + 19x2 + 2x 12 is divided by 2x + 1? If there is a r(x) remainder, express the result in the form q(x) + b(x):​

Answer:

I will do a and only a for you A.1.5

Step-by-step

Do the opposite of subtraction this would be addition so add 3 to the y the y is now 3y

How your problem should look like now:

3y=2x

Divide the 3y and the 2x and you get 1.5

Jon spend 56 minutes in reading

Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Jon spent 1 hour 17 minutes less than Camden

Camden spent 47 minutes less than Pete.

Pete spent 3 hours reading.

Since, pete spent 3 hours. So, Camaden spent

= 3 hours or (180 minutes) - 47 minutes

= 2 hours 13 minutes.

Now, Jon spent = 2 hrs 13 minutes - 1 hour 17 minutes

                         = 56 minutes

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The value of the additional data point is 36

To find the value of the additional data point, we can use the concept of the sample mean.

Given the data set: 23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19.

The sample mean of this data set is 26.5.

To find the value of the additional data point, we can use the formula for the sample mean:

(sample mean) = (sum of all data points) / (number of data points)

In this case, we have 11 data points in the original data set. Let's denote the value of the additional data point as x.

Therefore, we can set up the equation:

26.5 = (23 + 28 + 20 + 33 + 42 + 12 + 19 + 50 + 36 + 25 + 19 + x) / 12

Multiplying both sides of the equation by 12 to eliminate the fraction, we have:

318 = 282 + x

Subtracting 282 from both sides of the equation, we find:

x = 318 - 282

x = 36

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.

The original price of the pair of jeans is

equals to the $120.

Jodi wants to buy a pair of jeans.

The purchase price of pair of jeans on sale = $90

Discount on price of jeans = 75%

Let the original price of pair of jeans be equal to "$y". As we know, percentage is an important concept of mathematics. It is a number calculated by dividing the part of number to the whole number, then resultant multiply by 100. It's symbol is %. The formula is % = (part/whole )x100

Here, it is said that the price of pair of jeans, $90, is only 75% of the original price. So, we can write it as the following way 75% of y = 90

=> (75/100) of y = 90

=> (75/100) x y = 90

=> y = 90x 100/75

=> y = 9000/75

=> y = 120

Hence, required value of y is $120.

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A sample size of 266 vacuum cleaners must be selected to be 97% confident that the margin of error will not exceed 40 hours.

To determine the sample size needed for this scenario, we can use the formula: n = (z^2 * s^2) / E^2

Where:
- n is the sample size
- z is the z-score associated with the confidence level (in this case, 97% confidence corresponds to a z-score of 2.17)
- s is the estimated standard deviation (300 hours)
- E is the desired margin of error (40 hours)

Plugging in these values, we get:
n = (2.17^2 * 300^2) / 40^2
n ≈ 137.7

Rounding up to the nearest whole number, we would need a sample size of 138 vacuum cleaners in order to be 97% confident that the margin of error will not exceed 40 hours.

To determine the required sample size for a given margin of error with 97% confidence, we can use the formula:

n = (Z * σ / E)^2

where n is the sample size, Z is the Z-score associated with the desired confidence level, σ is the standard deviation, and E is the margin of error.

For a 97% confidence level, the Z-score is approximately 2.17 (from a standard normal distribution table). Given the standard deviation (σ) of 300 hours and a margin of error (E) of 40 hours, we can plug these values into the formula:

n = (2.17 * 300 / 40)^2
n = (16.275)^2
n ≈ 265.16

Since the sample size must be a whole number, we'll round up to the nearest whole number to ensure the desired confidence level is achieved. Therefore, a sample size of 266 vacuum cleaners must be selected to be 97% confident that the margin of error will not exceed 40 hours.

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The three statements are correct about any business organization is

a) The ultimate goal of a business is to make profits.

b) Customer loyalty has little impact on a business’s revenue.

c) Customer service adds to a business’s profitability in the long run.

What is Revenue?

Revenue is the entire amount of money made through the sale of products and services that are essential to the business's core operations. Sales or turnover are other terms used to describe commercial revenue. Some businesses make money from royalties, interest, or other fees.

Concept:

The process of identifying and grouping the work to be done, defining and allocating responsibility and authority, and building relationships in order to enable individuals to collaborate most effectively in order to achieve goals is known as organization.

The organizational process gives workers the ability to make choices that benefit their development. They are constantly prepared to take on new difficulties. This circumstance may support the growth of the company. This contributes to the enterprise's growth by enhancing its earning potential.

Over time, providing good customer service increases a company's profits.

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Answer:

55

Step-by-step explanation:

\(60-\left(10+6\right)/2\cdot \:4+27\)

\(\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\)

\((10+6):16\)

\(16/22\cdot4:32\)

\(=60-32+27\)

\(\mathrm{Add\;left\;to\;right}\)

\(60-32=28\)

\(28+27=55\)

~lenvy~

Answer:

m=l=102, angle adjacent to 84=18

Step-by-step explanation:

78+m=180 [Co-interior angles]

m=102

m=l [Corresponding angles]

l=102

78+84+angle adjacent to 84=190 [Co-interior angles]

angle adjacent to 84=18

Answer: X= 5 ;  -11

To solve our problem lets work backwards.

x^2-6x=55. First we must subtract 55 from both sides our equation. That leaves us with x^2-6x-55=0.  

We next need to cancel out the number six. We also need to find two numbers that can be multiplied by one another to equal 55.

This would be 5 and -11. 5 and -11 can be added together to make -6, which is the negative integer for 6. They can also be multiplied together to make the negative integer of 55, which is -55.

This means that our X has two possible solutions.

Hence, X= 5 & -11

I hope this helps & Good Luck <3 !

The answer to this question is B

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Answer:

2t>10

t>5

t belongs to (5,infinity)

hi bro i am from india in india we used to study this topic in grade 5

Answer:

d=12 and the remainder is -42

Step-by-step explanation:

a.

put x=1 into f(x)

6(1)³-7(1)²-11(1)+d=0

6-7-11+d=0

-12+d=0

d=12

b.

Put x=-2 into the polynomial

6(-2)³-7(-2)²-11(-2)+12

6(-8)-7(4)+22+12

-48-28+22+12

-42

The points shown on the graph are (-1,2) and (1,-2).

d = sqrt{-2-2)^2 + (1-(-1))^2}

d = sqrt{(-4)^2 + (1+1)^2}

d = sqrt{16 + 4}

d = sqrt{20}

d = 4•sqrt{5}

d is about 8.94427191.

Rounded to the nearest tenth, we get d = 8.9.

Answer:

4.5

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Step-by-step explanation:

54÷3

=18

one is 17

one is 18

the other is 19

The function f(x) = cx is a linear function.Option B is correct, the function f(x) = cx is a linear function.

In mathematics, a linear function is a function that satisfies two important properties. The first property is that the graph of a linear function is a straight line.

The second property is that the rate of change of the function is constant.The given function f(x) = cx, is a linear function since its graph is a straight line, and its rate of change (which is its slope) is constant.The graph of a linear function is a straight line. The slope of a linear function is constant.

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Answer:

10.5633

Step-by-step explanation:

for an approximate result, divide the length value by 1.609

17 km. converted to miles is 10.5633. Simplified, that's 10.6 miles.

answer: 56 tama po yan sinolve ko na yan

Answer:

2 cuboids

Step-by-step explanation:

To form a cube of side 6 CM using cuboids of side 6 CM, 3 cm, and 6 CM, we need to use the cuboids to fill in the volume of the cube.

The volume of the cube of side 6 CM is given by:

V(cube) = (side)^3 = 6^3 = 216 cubic cm

The volume of each cuboid is given by:

V(cuboid) = length x width x height

For the cuboids of side 6 CM, 3 cm, and 6 CM, we have:

V(cuboid) = 6 x 3 x 6 = 108 cubic cm

To find the number of cuboids needed to form the cube, we divide the volume of the cube by the volume of each cuboid:

Number of cuboids = V(cube) / V(cuboid) = 216 / 108 = 2

Therefore, we need 2 cuboids of side 6 CM, 3 cm, and 6 CM to form a cube of side 6 CM.

Answer:

Technically, it already works because you have $16.15

Step-by-step explanation:

Answer: all you do is figure out what number multiplied by itself equals 100 the answer is 10. an easy way is to use the calculator and use the square root symbol

Step-by-step explanation:

The solution of the system of linear equations is (0,2).

What is the system of linear equation?

If an equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables. Examples of two-variable linear equations are 10x+4y = 3 and -x+5y = 2.

Given system of linear equations are:

2x + 3y = 6 ....(i)

-3x + 5y = 10  ....(ii)

Multiply equation (i) by 3 and multiply equation (ii) by 2

6x + 9y = 18

-6x + 10y = 20

_____________

        19y = 38

Divide both sides by 19

y = 2

Putting y = 2 in equation (i)

2x + (3 × 2) = 6

2x + 6 = 6

2x = 0

x = 0

The solution is (0,2).

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Assuming that the number of moles of solute in a solution follows a normal distribution, the distribution of molarity can be approximated as normal with mean µ and standard deviation σ.

Assuming that the number of moles of solute in a solution follows a normal distribution, the distribution of molarity (M) can also be approximated as normal.

Let n be the number of moles of solute and V be the volume of the solution in liters. Then the molarity M is given by:

M = n/V

Using the rules of propagation of errors, we can find the variance of M in terms of the variances of n and V as:

Var(M) = Var(n)/V^2 + (n^2/ V^4) * Var(V)

Assuming that the variance of the number of moles of solute and the variance of the volume are known, we can use the above formula to calculate the variance of the molarity.

Once we have the mean and variance of the molarity, we can approximate its distribution as normal using the following parameters:

- Mean: µ = E(M)

- Standard deviation: σ = sqrt(Var(M))

Therefore, the distribution of molarity M is approximately normal with mean µ and standard deviation σ.

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Answer:

Taylor is currently 12

Step-by-step explanation:

x = Taylor's current age

x + 8 = Anna's current age

in 4 years:  x + 8 + 4 = 2x

                  12 = x

Answer:

If anna 8 yrs older and she will be 2 times older in 4 yrs then anna is 20

Taylor is currently 12

Step-by-step explanation:

in 4 years 24 will be anna

length=8 units

Step-by-step explanation:

Answer:

the dude above me is right - the answer is D on ed.genuity

Step-by-step explanation:

20/15 and 8/6 both simplify to 1.333333333

Shapes are known to be similar is the ratio of their similar sides is equal.. The proportion that supports her statement is 6/15 = 8/20 =4/10

Shapes are known to be similar is the ratio of their similar sides is equal.

From the given triangles, the ratio of the sides is given as:

ST/ NO = SR/ NM = RT/OM

Given the following parameters

ST = 6

NO = 15

SR = 8

NM = 20

RT = 4

OM = 10

Substitute

6/15 = 8/20 =4/10

Hence the proportion that supports her statement is 6/15 = 8/20 =4/10

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By SSS (Side, side, side) congruency;

⇒ ΔA B C ≅ ΔX Y Z .

Given that;

The vertices of ΔA B C are;

A (3, -1) , B (3, 7) and C (7, 7)

The vertices of  ΔX Y Z  are;

X (-7, 0), Y (-7, 4), Z (1, 4)

We have to prove that ΔA B C ≅ ΔX Y Z .

What is congruency in triangle?

If all three corresponding sides are equal and all the three corresponding angles are equal in measure, then Two triangles are said to be congruent.

Now,

The vertices of ΔA B C are;

A (3, -1) , B (3, 7) and C (7, 7)

The vertices of  ΔX Y Z  are;

X (-7, 0), Y (-7, 4), and Z (1, 4)

To prove ΔA B C ≅ ΔX Y Z we use distance formula and prove all sides are equal.

In ΔA B C;

Distance between A and B;

\(D_{AB} = \sqrt{(3-3)^2 + (7 -(-1))^2} = \sqrt{64} = 8\)

Distance between B and C;

\(D_{BC} = \sqrt{(7-3)^2 + (7 -7)^2} = \sqrt{16} = 4\)

Distance between C and A;

\(D_{CA} = \sqrt{(7-3)^2 + (7 -(-1))^2} = \sqrt{80}\)

In ΔX Y Z;

Distance between X and Y;

\(D_{XY} = \sqrt{(-7-(-7))^2 + (4 -0)^2} = \sqrt{16} = 4\)

Distance between Y and Z;

\(D_{YZ} = \sqrt{(-7-1)^2 + (4 -4)^2} = \sqrt{64}= 8\)

Distance between Z and X;

Clearly, Distance between sides of  ΔA B C and  ΔX Y Z are;

\(D_{AB} = D_{YZ} \\\\D_{BC} = D_{XY}\\\\D_{CA} = D_{XZ}\)

Hence, By SSS congruency;

⇒ ΔA B C ≅ ΔX Y Z .

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Answer:

B

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= 2x + 1 + x² - 7 ← collect like terms

= x² + 2x - 6 ← in standard form

The value of (f + g)(x) is x² + 2x - 6.

Arithmetic operations are a set of four basic operations to be performed to add, subtract, multiply or divide two or more quantities. They include the study of numbers including order of operations which are useful in all the other parts of mathematics such as algebra, data handling, and geometry.

Given are two functions, f(x) = 2x+1 and g(x) = x²-7, we are asked to find

(f + g)(x),

So we know,

(f + g)(x) = f(x) + g(x)

Therefore,

(f + g)(x)

= f(x) + g(x)

= 2x + 1 + x² - 7

= x² + 2x - 6

Hence the value of (f + g)(x) is x² + 2x - 6.

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The computation shows that the output that the rule give when the input is (-6,0) will be (-9, 4)

The output that the rule give when the input is (3,-4) will be (0, 0)

From the information given, we are told that Alicia is writing the program for a video game. For one part of the game, she uses the rule (x,y) -> (x - 3, y + 4) to move points on the screen.

The output that the rule give when the input is (-6,0) will be:

- 6 - 3 = -9

0 + 4 = 4

(-9, 4)

The output that the rule give when the input is (3,-4) will be:

3 - 3 = 0

4 - 4 = 0

(0, 0)

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