find the common diffirence in the arithmetic sequence 1, 6/4, 10/4, 3...​

The Newton-Raphson method approximates the roots of a function. So, we need a function whose root is the cube root we're trying to calculate.

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Answer: g = w² - 14w + 49

\(w=7-\sqrt{g}\\\\=> \sqrt{g} =7-w \\\\<=>g=(7-w)^{2}=49-14w+w^{2}\)

Step-by-step explanation:

The position of the USS Enterprise as it leaves the space station is described by the function s(t) = ln(3t) + 2t².

The position of the USS Enterprise as it leaves the space station is described by the function:

s(t) = ln(3t) + 2t²

where t represents time.

The function ln(3t) represents the natural logarithm of (3t), and 2t² represents the term related to the squared time. This function provides a mathematical representation of the position of the USS Enterprise as it progresses through space after leaving the space station.

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Answer:

y = 1/5x

Step-by-step explanation:

Answer:

30.00

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

mass / volume

m/v

Answer: d = m/V

Step-by-step explanation: density is the mass divided by volume or d= m/V

Answer:

-528/25

Step-by-step explanation:

Answers:

===================================================

Work Shown:

Original set = {5, 2, 5, 3, 1, 6, 2, 2, 3, 4, 2, 1, 2, 2, 4, 3, 2, 2, 2, 3}

Sorted set = {1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 6}

Do not toss out the duplicates.

The most occurring or most frequent value is 2, so this is the mode.

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

To find the median, we divide the n = 20 item set into two parts

n/2 = 10

So we'll count to the 10th slot to get to the number "2", which is the second to last "2" in the sorted list shown above.

The number just after this is also "2" in the 11th slot. Average these two values to get (2+2)/2 = 4/2 = 2

The median is 2.

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

To find the mean, we need to first add up all the data values.

1+1+2+2+2+2+2+2+2+2+2+3+3+3+3+4+4+5+5+6 = 56

Then divide this over n = 20 to get 56/20 = 2.8

The mean is 2.8

The mean being larger than the median tells us we have an outlier that is larger than the main cluster. Those outliers are 5 and 6.

The possible values of the number of dollars in the original pile of money is on the interval (200, 440)

We are told that Jeri finds a pile of money with at least $200.

Now, let x be  the additional amount over the  original amount of $200.

The greater side of the  inequality will be expressed as;

Original  pile  =  (200 + x)

After  she gives away $80 and as such she has;  (120 + x)

And  she gives (1/3)  of  this away  which means she will have;

=  (1/3) (120 + x)

Thus, she  must  have  (2/3)  of this left

=  (2/3)(120 + x) = amount in her right pocket

The lesser  side of the inequality is expressed as;

(x + 200)  -  200   =   x

Thus, we now have  that;

2[120 + x ]/3  >  x

240 + 2x  >  3x

240 > 3x - 2x

240 > x

x < 240

Thus, we can conclude that the original  amount could be on the interval   (200, 440)

The possible values of the number of dollars in the original pile of money is on the interval (200, 440)

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Answer:

yes you will because you need to pass all subject now if your in home school if you fail one subject you would have to see because not all schools are the same so... yeah but in my opinion if you fail one subject you do fail 6 grade I mean thats what I think I am in 9th grade so I dont remember that much

Step-by-step explanation:

Answer:

A

Because it has the characteristics of trinomial

Answer:

If the person has been able for something else and the point that is the best

Answer:

3g

Step-by-step explanation:

Answer:

the number of elements in set 'A' is simply 5

Answer:

$500

Step-by-step explanation:

100-12=88

88/100=440/x

88x=100(440)

88x=44000

/88.  /88

x=500

hopes this helps

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

6

Step-by-step explanation:

x = number of questions answered correctly

y = number of questions answered incorrectly

  18x - 24y = 72

  x = 2y

18*(2y) - 24y = 72

36y - 24y = 72

12y = 72

y = 72/12

y = 6

Answer:

5/6

Step-by-step explanation:

The results of previous dice rolls don't have any effect on the result the next time the die is rolled.

The relative frequency of getting a 5 on the next roll is 5/6

Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency). Conditional relative frequency is relative frequency conditional to some special characteristic.

We are given that a fair die is rolled 25 times. it landed on the number 5 eight times.

We need to find the relative frequency of getting a 5 on the next roll

relative frequency = 5/6

The results of previous dice rolls that have any effect on the result the next time the die is rolled.

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Answer:

x>-2

Step-by-step explanation:

-9x-15<3

•Move the constant to the right

9x<3+15

•calculate

-9x<18

•Divide both sides

The dot product of vectors a and b  || a |= 6,|| b ||= 4 and the angle between the vectors θ = π/3 is (c) 12.

The dot product of two vectors, we can use the formula:

a · b = ||a|| ||b|| cos(theta)

where ||a|| and ||b|| represent the magnitudes of vectors a and b, respectively, and theta is the angle between the vectors.

In this case, we are given that ||a|| = 6, ||b|| = 4, and the angle between the vectors is theta = π/3.

Substituting these values into the formula, we have:

a · b = 6 × 4 × cos(π/3)

To evaluate cos(π/3), we can use the fact that it is equal to 1/2. So we have:

a · b = 6 × 4 × 1/2

= 12

Therefore, the dot product of vectors a and b is 12.

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The statement " Rate of college enrollment immediately after completing high school was 67% by 1997" is an example of (a) Descriptive Statistics.

The Descriptive statistics involves the use of measures, such as averages, proportions, and frequencies, to summarize and describe the main features of a set of data.

In this statement, the rate of 67% is a summary statistic that describes the proportion of high school graduates who enrolled in college immediately after completing high school in 1997.

Whereas; the inferential statistics involves making inferences or predictions about a population based on a sample of data.

The statement provides a summary statistic for the rate of college enrollment for a specific year, 1997, but it does not provide any inferences or predictions about the rate of college enrollment for other years or other populations , so it denoted a Descriptive Statistics .

The given question is incomplete , the complete question is

What type of Statistics does the statement "the rate of college enrollment immediately after high school completion was 67" represents ?

(a) Descriptive

(b) Inferential

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Answer:

Step-by-step explanation:

40% is the correct answer

Answer:

250

Step-by-step explanation:

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

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The price of the watch before the discount is calculated to be £24.44.

As the total price of the watch and a pair of trainers is £53. 55 and the price of the trainer before the discount was £38, we first calculate the price of the trainers after the discount as follows;

discount on a pair of trainers = 15/100 × 38 =  £5.7

cost of trainers after discount =  £38 - 5.7 =  £32.3

Now the price of the watch after the discount can be calculated by subtraction as follows;

price of watch after discount = total price - price of trainers after discount

price of watch after discount =  £53. 55 - £32.3

price of watch after discount = £21.25

Now the price of the watch before the discount can be calculated as follows;

price of watch before discount = £21.25 × 15/100

price of watch before discount = £21.25 + £3.1875

price of watch before discount = £24.44

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The value of k for the function f(x+3) = f((x-3) + 3) is 2 by simplifying the function and substituting the values.

Let's substitute x-3 for x in the given function: f(x+3) = f((x-3) + 3) = f(x).

Then, we can rewrite the given function as f(x) = (x-3)² + k(x-3) - 21.

To find the value of k, we can set x=0 and solve for k: f(0) = (0-3)^2 + k(0-3) - 21 = -12 + 3k - 21 = 3k - 33.

We know that f(0) = f(3-3) = f(-3), so we can also calculate f(-3) using the given function:

f(-3+3) = f(0) = 0² + k(0) - 21 = -21.

Setting f(-3) = -21, we get:

-21 = (-3)² + k(-3) - 21, which simplifies to k = 2.

Therefore, the value of k is 2.

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A) x⁽³⁻⁴⁾ is the result obtained when x³y is divided by  x⁴y

In mathematics, an expression is a combination of numbers, variables, and mathematical operations that can be simplified or evaluated to obtain a numerical result. An expression can contain constants (numbers that do not change), variables (symbols that represent unknown values), and mathematical operations (such as addition, subtraction, multiplication, and division).

When we divide x³y by x⁴y, we can simplify the result using the rules of exponents to obtain the value 1/x. An expression is a set of elements in mathematics that can be simplified or evaluated to find a numerical result. The division problem x³y/x⁴y can be solved by expressing it as x⁽³⁻⁴⁾ y⁽¹⁻¹⁾ and simplifying to x⁽³⁻⁴⁾, or 1/x.

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Answer:

Solve for x.

2x2=72

−6 and 6

−8 ​ and 8​

−18 ​ and 18​

−36 ​ and 36

your answer would be -6 and 6

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

SIMILAR TRIANGLES

28/14   =  JN/10

Cross multiplication

280=(14) JN

divide both sides by 14

20= JN

  ALSO:

28 is double of 14 then  20 is double of 10