What word describes a problem that can be completely solved, except it may take a very long time to find the solution

the value of the inverse function f(x) = x^5 + x + 9 at a point 1037 is f^-1 (1037) = 2.22560245.

The inverse of the function f(x) = x^5 + x + 9 is given by f^-1 (x) = x^5 + x + 9.

To find the value of f^-1 (1037) we can apply the inverse of f(x) to 1037.

The inverse of f(x) is f^-1 (x) = x^(1/5) – (x^2 – 9)^(1/2)/5.

Substituting 1037 for x,

we get f^-1 (1037) = 1037^(1/5) – (1037^2 – 9)^(1/2)/5

= 2.2471254 - 0.17152295/5 = 2.22560245.

Therefore, the value of the inverse function f(x) = x^5 + x + 9 at a point 1037 is f^-1 (1037) = 2.22560245.

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The 7 metric units are part of the International System of Units, and this are km, m, cm, mm, kg, g and L. Each unit is based on a multiple of 10, making it easy to convert between them.  For example, 1 kilometer is equal to 1000 meters, and 1 kilogram is equal to 1000 grams.

The 7 metric units are as follows:

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(0, 2) is the y intercept of the given graph, option B is correct.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The line is passing through the points (3, 0) and (0,2)

We have to find the slope

m=2/-3

=-2/3

Now let us find y intercept

0= -2/3(3) +b

b=2

Hence, (0, 2) is the y intercept of the given graph, option B is correct.

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The point estimate for estimating the true proportion of employees who prefer Plan A is the midpoint of the confidence interval.

To find the point estimate, we take the average of the lower and upper bounds of the confidence interval. In this case, the lower bound is 0.308 and the upper bound is 0.588. Therefore, the point estimate is (0.308 + 0.588) / 2 = 0.448

In statistics, a confidence interval provides a range of values within which we estimate the true population parameter to lie with a certain level of confidence.

In this case, the confidence interval for the proportion of employees who prefer Plan A is given as (0.308, 0.588) with a 98% confidence level.

The point estimate is a single value that represents our best estimate of the true population proportion based on the sample data.

It is often calculated as the midpoint of the confidence interval. By taking the average of the lower and upper bounds, we can find the point estimate, which in this case is 0.448.

It's important to note that the point estimate is just an estimate and may not exactly equal the true population proportion. However, it provides a reasonable approximation based on the available sample data and the level of confidence specified by the confidence interval.

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By using probability, your chance of being chosen to attend the concert is 1/15, or approximately 0.0667 rounded to four decimal places.

The problem asks for the probability of being chosen out of a group of 15 people for a symphony orchestra concert. Since only one person can be chosen, the probability is simply 1 divided by the total number of people, which is 15. There are 14 + 1 = 15 people in total.

If there are 14 other people in the class and you are one of them, the probability that you will be chosen to attend the concert.

1 / (14 + 1) = 1/15

Therefore, the probability of being chosen is 1/15, or approximately 0.0667 rounded to four decimal places.

This means that if everyone in the class has an equal chance of being chosen, the likelihood of being selected is quite low. However, this assumes that everyone in the class has an equal chance of being chosen and that there are no other factors influencing the selection process.

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Answer:

There were 8 student who went on a trip.

Step-by-step explanation:

Let's call the original number of students "x". The total cost of the trip was $80, so the cost per student was $80/x.

When four more students decided to go, the new number of students became x + 4, and the cost per student was reduced by $1, to $80/x - $1.

We can set up an equation to solve for x:

$80/x = $80/(x + 4) - $1

Expanding the right side:

$80/x = $80/x + $80/4 - $1

Combining like terms:

$80/x = $80/4 + $80/x - $1

Solving for x:

$80/4 = $80/x - $1

$80/4 + $1 = $80/x

$20 + $1 = $80/x

$21 = $80/x

Finally, solving for x:

x = 80/$21 = 80/21 = 3.81 (rounded to nearest whole number)

So, there were 4 students on the original trip.

There were 4 students on the original trip and 4 more students joined, so in total, there were 4 + 4 = 8 students who went on the trip.

Answer: 8 student

Step-by-step explanation:

The relation R is transitive even if it is neither reflexive nor symmetric.

(a) If A=[5,6,7], then define a relation R on A as R=(5,6),(6,5).

The reflexivity of Relation R differs from that of (5,5),(6,6),(7,7)/R).

As a result of (5, 6)R and (6, 5)R, R is now symmetric.

On the other hand, (5,5)/R/R is not transitive.

R is hence symmetric but neither reflexive nor transitive: "(5,6), "(6,5)".

(b) Consider the relation R in the statement R, which is written as R=(a,b):ab.

We have (a,a) / R for any a because a cannot be strictly less than an itself. In reality, a=a.

R has no reflex.

Right now, (1,2)R(as12)

But two is not one less than one.

There is no symmetry in the ratio (2,1)/R.

Now, let (a,b),(b,c)R.

"A,B, and C" is a transitive verb.

As a result, relation R is transitive even if it is neither reflexive nor symmetric.

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The amount the firm needs to deposit in the account now is 9,640.11. Given that the company has purchased a life truck with a useful life of 5 years, the maintenance costs for the truck during the first year are 2,000.

Also, maintenance costs are expected to increase at a rate of 300 per year over the remaining life, which is for four years. Assume that the maintenance costs occur at the end of each year.

The future maintenance costs for the truck can be calculated as shown below:

Year 1:\($2,000Year 2: $2,300Year 3: $2,600Year 4: $2,900Year 5: $3,200\)The maintenance account that earns 10% interest per year has to be set up, and all future maintenance expenses will be paid out of this account. The future value of the maintenance costs, i.e., the amount that the firm needs to deposit now to earn 10% interest and pay the maintenance costs over the next four years is given by:

\(PV = [C/(1 + i)] + [C/(1 + i)²] + [C/(1 + i)³] + [C/(1 + i)⁴] + [(C + FV)/(1 + i)⁵]\),where PV is the present value of the future maintenance costs, C is the annual maintenance cost, i is the interest rate per year, FV is the future value of the maintenance costs at the end of year 5, which is $3,200, and 5 is the total number of years, which is

5.Substituting the given values in the above equation:

\(PV = [2,000/(1 + 0.1)] + [2,300/(1 + 0.1)²] + [2,600/(1 + 0.1)³] + [2,900/(1 + 0.1)⁴] + [(3,200 + 3,200)/(1 + 0.1)⁵] = 9,640.11\)Therefore, the firm needs to deposit 9,640.11 in the account now. Hence, option (A) is the correct answer.

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The bottleneck in the process is Station 5, with a processing time of 8 minutes. The capacity of the assembly line is approximately 1.76 toy trucks per hour.

a. The bottleneck in this process is the station with the longest processing time. In this case, Station 5 has the longest processing time of 8 minutes. The bottleneck is the station that limits the overall capacity of the assembly line because it takes the longest time to complete its task.

b. To calculate the capacity of the assembly line, we need to determine the cycle time, which is the time it takes for one complete cycle of the assembly line. The cycle time is equal to the sum of the processing times at each station. In this case:

Cycle time = 1 + 2 + 3 + 4 + 8 + 6 + 5 + 3 + 2 = 34 minutes

To calculate the capacity in toy trucks per hour, we need to convert the cycle time from minutes to hours:

Capacity = 60 minutes / 34 minutes = 1.76 toy trucks per hour

c. The direct labor cost for the toy truck with the current process can be calculated by multiplying the number of workers assigned to each station by their hourly wage, and then dividing it by the number of toy trucks produced per hour. Since there is one worker per station and each worker receives $15 per hour, the direct labor cost per toy truck can be calculated as follows:

Direct labor cost = (Number of workers × Hourly wage) / Capacity

= (9 workers × $15/hour) / 1.76 toy trucks per hour

≈ $80.68 per toy truck

d. If the work were organized in a work cell, with one worker performing all tasks, the direct labor cost would remain the same. Each worker would still receive $15 per hour, regardless of the number of tasks they perform. There would be no specialization gains in this scenario, so the direct labor cost per toy truck would still be approximately $80.68.

e. To determine the utilization of the worker in station 2, we need to compare the processing time at that station to the cycle time of the assembly line. The processing time at station 2 is 2 minutes, and the cycle time is calculated as 34 minutes (as mentioned in point b).

Utilization = Processing time at station 2 / Cycle time

= 2 minutes / 34 minutes

≈ 0.059 or 5.9%

This means that the worker in station 2 is only utilized for about 5.9% of the cycle time, indicating that they spend most of their time waiting for the other stations to complete their tasks.

f. With the reduced staffing from nine to six workers per shift, the tasks should be assigned to the six workers in the most efficient way possible. One possible assignment could be as follows:

Worker 1: Stations 1 and 2

Worker 2: Stations 3 and 4

Worker 3: Stations 5 and 6

Worker 4: Stations 7 and 8

Worker 5: Station 9

Worker 6: No assigned task (idle)

g. To calculate the new capacity of the line with six workers, we need to determine the total processing time for the new assignment. The total processing time would be the sum of the processing times at each station assigned to a worker:

Total processing time = 1 + 2 + 6 + 5 + 3 + 2 = 19 minutes

The new capacity of the line would be the reciprocal of the total processing time:

Capacity = 60 minutes / 19 minutes = 3.16 toy trucks per hour

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Answer:

5(4x + 5)

Step-by-step explanation:

Given

20x + 25 ← factor out the common factor 5 from each term

= 5(4x + 5)

Answer:

5(4x+5)

Step-by-step explanation:

divide both with the same number into smallest digit

eg: 5(4x+5)=20x+25

if 5x4=20 and 5x5=25

both can be divided by 5 to get smallest number(factorise it)

Answer:

Step-by-step explanation:

a₁ = 1

a₂  =  -4

r = a₂/a₁ = -4

a₁₂ = a₁r¹²⁻¹ = 1(-4)¹¹ = -4,194,304

Angle A is 19 degrees.

Angle C is 90 degrees.

Side a is approximately 7.83.

Side c is approximately 34.50.

To solve the right triangle given that B = 71 degrees and b = 24, we can use the trigonometric ratios sine, cosine, and tangent.

Finding Angle A:

Angle A is the complementary angle to B in a right triangle, so we can calculate it using the equation:

A = 90 - B

Substituting the given value, we have:

A = 90 - 71

A = 19 degrees

Therefore, Angle A is 19 degrees.

Finding Angle C:

Since it is a right triangle, Angle C is always 90 degrees.

Therefore, Angle C is 90 degrees.

Finding Side a:

We can use the sine ratio to find the length of side a:

sin(A) = a / b

Rearranging the equation to solve for a, we have:

a = b * sin(A)

Substituting the given values, we have:

a = 24 * sin(19)

a ≈ 7.83

Therefore, the length of side a is approximately 7.83.

Finding Side c:

Using the Pythagorean theorem, we can find the length of side c:

c^2 = a^2 + b^2

Substituting the given values, we have:

c^2 = 7.83^2 + 24^2

c^2 ≈ 613.68 + 576

c^2 ≈ 1189.68

Taking the square root of both sides to solve for c, we have:

c ≈ √1189.68

c ≈ 34.50

Therefore, the length of side c is approximately 34.50.

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Answer:

I guess answer is 86. ...........

Using Pythagoras:

Answer:

To start, let's sketch the graph of the curve y = x from x = 0 to x = 20. This is simply a diagonal line that passes through the points (0,0) and (20,20), as shown below:

```
   |
20  |    *
   |   *  
   |  *  
   | *    
   |*    
0  --------------
  0   10   20
```

Now, we want to revolve this curve around the x-axis to create a solid shape. Specifically, we want to create a paraboloid, which is a three-dimensional shape that looks like an upside-down bowl.

To find the volume of this paraboloid, we need to use calculus. The basic idea is to slice the solid into very thin disks, and then add up the volumes of all the disks to get the total volume.

To do this, we'll use the formula for the volume of a cylinder, which is:

V = πr^2h

where r is the radius of the cylinder and h is its height. In our case, each disk is a cylinder with radius r and height h, where:

- r is equal to the y-value of the curve (i.e. r = y = x), since the disk extends from the x-axis to the curve.
- h is the thickness of the disk, which is a very small change in x. We can call this dx.

So, the volume of each disk is:

dV = πr^2dx
  = πx^2dx

To find the total volume of the paraboloid, we need to add up the volumes of all the disks. This is done using an integral:

V = ∫(from x=0 to x=20) dV
 = ∫(from x=0 to x=20) πx^2dx

Evaluating this integral gives us:

V = π/3 * 20^3
 = 8000π/3

So the exact volume of the paraboloid is 8000π/3.

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Answer:

\( \huge \blue{y + 1 = 3(x + 2) } \\ \)

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

\(y - y_1 = m(x - x_1)\)

From the question we have the final answer as

\(y + 1 = 3(x + 2)\)

Hope this helps you

Answer: 1/9

Step-by-step explanation:

You have 3 possible options. The probablility of the spinner landing on 3 is 1/3. The probability of it landing on 2 is also 1/3. For them to happen together, you multiply them. 1/3 * 1/3 = 1/9.

The probability of landing on a 3 and then landing on a 2 is,

⇒ 1/9

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Given that;

You spin the spinner twice.

Now, The probability of the spinner landing on 3 is,

⇒ 1/3.

And, The probability of it landing on 2 is,

⇒ 1/3.

Hence, The probability of landing on a 3 and then landing on a 2 is,

⇒ 1/3 × 1/3

⇒ 1/9.

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Answer:

Is there answer choices

Step-by-step explanation:

NVM guess this is the answer  

m of <MTS is 107 degrees and m of <STN=73 degrees

Answer:

m of <MTS is 107 degrees and m of <STN=73 degrees

Step-by-step explanation:

You do 180-73 to find the other angle beside 73 and since they're parallel its the same angles but opposite essentially. Sorry this isn't the best explanation.

The function that has a greater slope will be B. The broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.

It should be noted that a linear function simply means a function whose graph is a straight line.

From the information given, the slope will be:

= (y2 - y1(/(x2 - x1)

= (3.6 - 3)/(3 - 2.5)

= 1.2

The slope for broccoli is 1.2

The slope of the cauli flower will be:

= (3.20 - 2.75)/(3.20 - 2.75)

= 1

Therefore, the broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.

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Answer:

B

Step-by-step explanation:

right on 2022 edg

Answer:

D

Step-by-step explanation:

-3 * 2/5 = - 1/2

Also an odd # of negative signs means the answer is going to be negative. (Just a little hint) Hope this helps!! :)

Answer:

equate two simultaneous equations for r and solve

Answer:

Please read below

Step-by-step explanation:

We are told that 1/2 of the orange juice is concentrate

So 50% is concentrate

100 - 50 = 50

This leaves another 50% to be water
50:50 is the same as 1:1

Answer:

Step-by-step explanation:

complex numbers , real numbers , rational numbers , natural numbers , whole numbers

Answer:

Step-by-step explanation:One pair of perpendicular segments, not including GH DE I EF ... Graph the lines and use slopes to determine whether the lines are parallel, perpendicular, ... ;P

Answer:

y=35x+0.05

Step-by-step explanation:

Answer:

x=-2/9

y=-46/9

Step-by-step explanation:

Answer:

10 weeks

Step-by-step explanation: