Round
4.688681
to four decimal places?

Answer:

The answer would be 18 years

Step-by-step explanation:

hope this helps:)

Answer:

Step-by-step explanation:

Ok so the first one is 100 percent since 10* 10 grid bars= 100

The second one has 1 bar of 10+ 6 more squares

SO:

100+10+6=116 percent

The value of the expression 6x + 10 is 58/7.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

First, we can simplify the equation:

x/6 = x + 10/42

Multiplying both sides by 6 (the least common multiple of 6 and 42) gives:

x = 6x + 10/7

Subtracting 6x from both sides gives:

x - 6x = 10/7

Simplifying:

-5x = 10/7

Dividing both sides by -5:

x = -2/7

Now that we know the value of x, we can substitute it into the expression 6x + 10:

6x + 10 = 6(-2/7) + 10 = -12/7 + 70/7 = 58/7

Therefore, the value of the expression 6x + 10 is 58/7.

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Answer:

$6,619.42.

Step-by-step explanation:

Since a dealer of electric oven sold an induction heater at Rs. 4,200 with 13% VAT to a retailer, and the retailer added transportation cost of Rs. 250, profit 15% and local tax Rs. 150 and sold it to a costumer, To determine how much will be paid for that heater if the consumer has to pay 13% VAT, the following calculation must be performed:

((4,200 x 1.13) x 1.15 + 250 + 150) x 1.13 = X

((4,746 x 1.15) + 250 + 150) x 1.13 = X

(5,457.9 + 400) x 1.13 = X

5,857.9 x 1.13 = X

6,619.42 = X

Thus, the price to be paid by the consumer will be $ 6,619.42.

Answer:

d

Step-by-step explanation:

To find the asymptotes of a graph, first determine the type of asymptote (horizontal, vertical, or slant) and identify the conditions that must be satisfied. Then, set the numerator or denominator equal to zero and solve for y or x, or divide the numerator by the denominator and find the equation of the line that the graph approaches as x approaches infinity.

To find the asymptotes of a graph, you can follow these steps:

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The correct option is Option D) The consistency with which several individuals can complete the questionnaire without making an error is one technique to determine a questionnaire validity.

A questionnaire is a sort of research tool used to collect data from respondents for a survey or statistical analysis. It consists of a collection of questions (or other forms of prompts). Typically, a research questionnaire will have both closed-ended and open-ended questions. Long-term, open-ended inquiries provide the respondent the chance to go into more detail. The Statistical Society of London created the research questionnaire in 1838. Despite the fact that surveys are frequently created so that the answers may be statistically analyzed. Consequently, it may not be practical to conduct a survey using a questionnaire for some demographic groups.

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The work done pulling the bucket to the top of the well is 104,299.4 pound-force-feet (lb*ft).

To find the work done pulling the bucket to the top of the well, we need to consider the weight of the bucket, the weight of the water, and the work done against gravity.

First, let's calculate the weight of the bucket and water combined. The weight of the bucket is 4 pounds, and the weight of the water is 35 pounds. Therefore, the total weight is 4 + 35 = 39 pounds.

Next, let's calculate the distance the bucket is pulled up. The well is 83 feet deep, so the bucket is pulled up a distance of 83 feet.

Now, let's calculate the work done against gravity. Work is calculated by multiplying the force applied by the distance over which the force is applied. In this case, the force is equal to the weight of the bucket and water, which is 39 pounds. The distance is 83 feet.

Work = Force * Distance
Work = 39 pounds * 83 feet

To calculate the work, we need to convert the weight from pounds to a unit called pound-force (lbf). 1 pound force is equal to the force exerted by a mass of 1 pound under acceleration due to gravity.

To convert from pounds to pound-force, we need to multiply by the acceleration due to gravity. The acceleration due to gravity is approximately 32.2 feet per second squared.

39 pounds * 32.2 feet per second squared = 1255.8 pound-force

Finally, we can calculate the work done pulling the bucket to the top of the well.

Work = 1255.8 pound-force * 83 feet
Work = 104,299.4 pound-force-feet (or lb*ft)

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1001 many times will the digit 9 occur in the final product.

First of all,

13×7 × 11 =1001

The result is 4 digit number and hence when multiplied by 3 digit number, it is resulting in the number repetition.

             123× 1001 = 123123

             445 × 1001 = 445445

Based on this logic we can assume that,

             99 × 101 = 9999

             85× 101 = 8585

             20 × 101 = 2020.

2.  Any 3 digit number multiplied with 1001 will result in same pattern. for example:

              123 × 1001 = 123123

              997 × 1001 = 997997

              500× 1001 = 500500

Ans so on.

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Statistical process control technique that permits only 3.4 defects per million opportunities is Six Sigma.

Six Sigma is a statistical technique that emphasizes the necessity of a standardized approach to enhancing and optimizing the efficiency of the production and management processes by reducing the variation and waste within them. It concentrates on controlling a process to ensure that the results of a process are consistent and reliable by using statistical methods. The objective of the Six Sigma process is to produce 3.4 errors or defects per million opportunities. If the process is better than Six Sigma, it is considered more consistent and predictable.
Six Sigma's statistical approach to process control encompasses a range of tools and methods. Six Sigma's primary objective is to increase revenue and profits by developing and delivering high-quality products and services while eliminating defects and reducing waste.
Six Sigma aims to improve quality by detecting and reducing the reasons for variations in production processes. It accomplishes this by developing quality management practices that enable it to assess quality, establish goals, and implement best practices to achieve those goals.
In conclusion, Six Sigma is a process control approach that emphasizes statistical methods for process control and improvement. Six Sigma is used to reduce variability and eliminate waste, and its goal is to achieve 3.4 defects per million opportunities.

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Using the percentage method, we know that the original price of the TV set was $400.

Percentages are just fractions with a denominator of 100.

To show that a number is a percentage, we place the percent sign (%) next to it.

For instance, if you properly answered 75 out of 100 questions on a test, you would have received a 75% grade (75/100).

So, we know that the percentage is always out of 100.

Then we automatically know that:

100% - 15% = 85%

We know:
85% = $340

15% = ?

Now, calculate the reduced price as follows:
85/340 = 15/x

85x = 15(340)

85x = 5,100

x = 5100/85

x = $60

Original price of the TV set:

Sold cost + Reduced cost

$340 + $60

$400

Therefore, using the percentage method, we know that the original price of the TV set was $400.

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The statements that accurately compare the domain and range of the functions are: The domain of all three functions is all real numbers, The range of f(x) and h(x) is all real numbers, but the range of g(x) is all real numbers except 0.

The domain of a function refers to all the possible input values that make the function defined. For the quadratic function f(x) = 3x², there are no values of x that make the function undefined, so the domain of f(x) is all real numbers. To find the range of f(x), we can calculate the vertex of the parabola, which is (0,0). The range of f(x) is all real numbers greater than or equal to zero.

For the quadratic function f(x) = 3x², we can determine the vertex using the formula:

h = -b/2a

In this case, a = 3 and b = 0, so:

h = -0/2(3) = 0/6 = 0

The x-coordinate of the vertex is 0.

To find the y-coordinate, we evaluate the function at the vertex:

f(0) = 3(0)² = 0

So the vertex of the parabola is (0,0).

Since the coefficient of x² is positive, the parabola opens upwards, and the minimum value of the function occurs at the vertex. Therefore, the range of f(x) is all real numbers greater than or equal to zero.

For the rational function g(x) = 1/3x, the function is undefined when the denominator is equal to zero. Thus, we solve for the value(s) of x that make the denominator zero:

3x = 0

Dividing both sides by 3, we get:

x = 0

Therefore, the domain of g(x) is all real numbers except zero. The range of g(x) is all real numbers except zero, since the function cannot equal zero.

For the linear function h(x) = 3x, there are no values of x that make the function undefined. Thus, the domain of h(x) is all real numbers. The range of h(x) is also all real numbers, since the function is a straight line that passes through the origin and extend infinitely in both directions.

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Answer: undefined slope

Step-by-step explanation:

2 × [3 + 2 × (10 - 3)] =

2 × (3 + 2 × 7) =

2 × (3 + 14) =

2 × 17 = 34

Answer:

34

Step-by-step explanation:

2 × [3 +2 × (10 - 3)]=

2 × (3 + 2 × 7)=

2 × ( 3 + 14)=

2 × 17=

34.

Answer:

Total number of trials =150

Chances or trials which favour the outcome H= 85

P(H)= 15085 = 0.567 (approx)

Answer: A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.

Step-by-step explanation:

Answer:

18.4 what the right answer

Step-by-step explanation:

a. The prime numbers in this list are 5 and 7. b. There are no prime numbers in this list. c. The prime numbers in this list are 31 and 17. d. The prime numbers in this list are 61 and 2.

a. In the list 5, 7, 12, 11, the prime numbers are 5, 7, and 11. Prime numbers are numbers greater than 1 that have only two factors, 1 and themselves.

b. In the list 14, 6, 3, the prime number is 3. The other numbers have more than two factors, making them not prime.

c. In the list 31, 17, 9, 15, the prime numbers are 31 and 17. The numbers 9 and 15 have more than two factors, so they are not prime.

d. In the list 782, 61, 2, the prime numbers are 61 and 2. Number 2 is the smallest prime number, and 61 has only two factors, 1 and 61. The number 782 has more than two factors, so it is not prime.

To summarize, the prime numbers in each list are: a. 5, 7, 11; b. 3; c. 31, 17; d. 61, 2.

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The solution of this equation is given by YH = c1 + c2eˣ + c3e^⁴ˣ + c4e^⁹ˣ, where c1, c2, c3, c4 are constants, in given equation is 0-810 = 7xe 9x, using a differential-operator that will annihilate the non-homogeneity 7x eºx using the annihilator-method.

The annihilator method is used to determine the form of a particular solution for a nonhomogeneous differential equation.

In this method, the nonhomogeneity of the differential equation is annihilated with the help of a differential operator.

The differential operator that annihilates the non-homogeneity is called the annihilator.

To find the differential operator that will annihilate the nonhomogeneity 7x eºx, we need to first calculate the nth derivative of 7x eºx, where n is the order of the differential operator.

Let's calculate the nth derivative of

7x eºx.(d/dx) (7xe⁻ˣ) = 7e⁻ˣ - 7xe⁻ˣ ...(1)

(d²/dx²) (7xe⁻ˣ) = 14e⁻ˣ - 14xe⁻ˣ + 7xe⁻ˣ ...(2)

(d³/dx³) (7xe⁻ˣ) = -21e⁻ˣ + 63xe⁻ˣ - 21xe⁻ˣ + 7xe⁻ˣ ...(3)

(d⁴/dx⁴) (7xe⁻ˣ) = 35e⁻ˣ - 210xe⁻ˣ + 210xe⁻ˣ - 70xe⁻ˣ+ 7xe⁻ˣ ...(4)

We can observe that the nth derivative of 7xe^(-x) can be represented as a polynomial of degree n with constant coefficients, with alternating signs.

The differential operator that annihilates the nonhomogeneity 7xe^(-x) is (D-1)⁴ where D represents d/dx.

This is because the differential operator (D-1) applied 4 times to e^-x will result in 0, and the coefficients of the polynomial in (4) satisfy the binomial coefficients of the binomial expansion of (D-1)⁴.

Let's represent the given differential equation in the form of D and Y.DY = 7xe^9x ...(5)

The homogeneous equation is DHY = 0,

where DH represents the differential operator associated with the homogeneous equation.

The form of the particular solution is given by Yp, and the form of the general solution is given by Y.

Y = YH + Yp,

where YH is the homogeneous solution and

Yp is the particular solution.

We need to determine the form of the particular solution for the given equation.

We can do this by applying the differential operator that annihilates the nonhomogeneity to both sides of the equation.

Applying the differential operator (D-1)⁴to both sides of the equation, we get:

(D-1)⁴ (DY) = (D-1)⁴

(7xe⁹ˣ)Yp = (D-1)⁴ (7xe⁹ˣ)/D⁴

Now we substitute D = d/dx and simplify the expression.

Yp = (d/dx - 1)⁴ (7xe⁹ˣ)/d⁴/dx⁴

    = (35 - 210x + 420x² - 280x³ + 56x⁴) e⁹ˣ

Hence, the form of the particular solution is given by

Yp = (35 - 210x + 420x² - 280x³+ 56x⁴) e⁹ˣ

The general solution is given by

Y = YH + Yp, where

YH is the homogeneous solution and

Yp is the particular solution.

The homogeneous solution is the solution of the homogeneous equation DHY = 0.

The form of the homogeneous solution is given by

YH = c1 + c2\(e^{x}\) + c3\(e^{4x}\) + c4\(e^{9x}\), where c1, c2, c3, c4 are constants.

Since the given equation is of the form DY = f(x), the order of the differential operator DH is equal to 1.

Therefore, the homogeneous equation is given by

DHY = Y' - HY

        = 0.

The solution of this equation is given by

YH = c1 + c2\(e^{x}\) + c3\(e^{4x}\) + c4\(e^{9x}\), where c1, c2, c3, c4 are constants.

The general solution of the given differential equation is

Y = YH + Yp

  = c1 + c2\(e^{x}\)+ c3\(e^{4x}\) + c4\(e^{9x}\) + (35 - 210x + 420\(x^{2}\) - 280\(x^{3}\) + 56\(x^{4}\)) e⁹ˣ.

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Means and Variances of Linear Combinations:


(a) X1 - 2X2

Mean: μa = μ1 - 2μ2

Variance: σa2 = σ12 + 4σ22 + 4σ122



(b) X1 + 2X2 - 3

Mean: μb = μ1 + 2μ2 - 3

Variance: σb2 = σ12 + 4σ22 + 4σ122



(c) 3X1 - 4X2

Mean: μc = 3μ1 - 4μ2

Variance: σc2 = 9σ12 + 16σ22



In the case that X1 and X2 are independent, then σ122 = 0, so:

(a) X1 - 2X2

Mean: μa = μ1 - 2μ2

Variance: σa2 = σ12 + 4σ22



(b) X1 + 2X2 - 3

Mean: μb = μ1 + 2μ2 - 3

Variance: σb2 = σ12 + 4σ22



(c) 3X1 - 4X2

Mean: μc = 3μ1 - 4μ2

Variance: σc2 = 9σ12 + 16σ22

Answer:

Step-by-step explanation:

150 - total budget (150)

25 out of total budget (150 - 25)

solve 150 - 25 for (125)

125/10 = 12.5

the 150-25 is in parentheses so using PEMDAS, it will be completed first for an answer of (125). then 125 x .10 to divide.

the equation would be  -  (150-25).10  (OR)   (150-25)/10

(you can either choose to divide by a whole or multiply by a fraction.

Answer:

12 people

Step-by-step explanation:

25+10x=150

subtract 25 each side

10x=125

divide both sides by 10

x = 12.5

can't have half a body at a party.

hope this helps :)

Answer: The correct formula would be the 3rd option .5s + 4a = 15

Hope this helps!

’

Ley y be the number of lap you can do in 72 minutes

4 minutes = 1 lap

72 minutes = y

cross multiply

4y = 72

Divide 4 by bothside

4y/4 = 72/4

y = 18

You can go 18 laps in 72 minutes

Answer: An equation: d = 40r. 3. A tabulation of values. 4. A graph showing the relationship between time and distance. We have already used word sentences and equations to describe such relationships; in this chapter, we will deal with tabular and graphical representations.

Step-by-step explanation:

Hope this helps!

Answer:

-2/3 stays the same and -7/4 goes to -1  3/4

Step-by-step explanation:

Answer: -29/12            

= -2.41667  

 12          

Step-by-step explanation:

Answer:

They will have 3 dollars left because they can buy 46 cartons. 46 cartons costs $184 dollars so 3 dollars left over from the budget

Step-by-step explanation:

Answer:

1.) The 1ˢᵗ three term is (-32), (-7) and 18

2.) The 1ˢᵗ three term is 127, 106 and 85

Step-by-step explanation:

Here,

First Term = a₁ = - 32

Common Difference = (d) = 25

Now, For 1ˢᵗ three term,

n = 1

a₁ = - 32

n = 2

aₙ = a + (n - 1)d

a₂ = (-32) + (2 - 1) × 25

a₂ = (-32) + 1 × 25

a₂ = (-32) + 25

a₂ = -7

n = 3

aₙ = a + (n - 1)d

a₃ = (-32) + (3 - 1) × 25

a₃ = (-32) + 2 × 25

a₃ = (-32) + 50

a₃ = 18

Thus, The 1ˢᵗ three term is (-32), (-7) and 18

Here,

First Term = a₁ = 127

Common Difference = (d) = -21

Now, For 1ˢᵗ three term,

n = 1

a₁ = 127

n = 2

aₙ = a + (n - 1)d

a₂ = 127 + (2 - 1) × (-21)

a₂ = 127 + 1 × (-21)

a₂ = 127 - 21

a₂ = 106

n = 3

aₙ = a + (n - 1)d

a₃ = 127 + (3 - 1) × (-21)

a₃ = 127 + 2 × (-21)

a₃ = 127 - 42

a₃ = 85

Thus, The 1ˢᵗ three term is 127, 106 and 85

-TheUnknownScientist

Answer: 0

Step-by-step explanation:

4y — 8 = 0 ———> 4(2) — 8 = 0

8 — 8 = 0

infinite sequences of arithmetic expressions can have a value of 4

Step-by-step explanation:

infinite sequences of arithmetic expressions can have a value of 4

Answer:

144 in.²

Step-by-step explanation: