Simplify (W^4)^4 without parentheses

12  mountain bikes did the company plan to manufacture.

To determine how many mountain bikes the company plans to manufacture, we need to set up a system of equations that represents the cost of materials and labor for each type of bike, as well as the total budget for materials and labor.

Let x be the number of mountain bikes and y be the number of trail bikes produced in a week. Then, the total cost of materials and labor for mountain bikes can be expressed as:

Total cost of materials and labor for mountain bikes = (cost of materials per mountain bike) * x + (cost of labor per mountain bike) * x

= 80x + 90x= 170x

Similarly, the total cost of materials and labor for trail bikes can be expressed as:

Total cost of materials and labor for trail bikes = (cost of materials per trail bike) * y + (cost of labor per trail bike) * y

= 40y + 40y= 80y

The total budget for materials and labor is $3,000 for materials and $3,250 for labor. Therefore, we can set up the following system of equations:

170x + 80y = 3000

90x + 40y = 3250

Solving the above system of equations, we get:

x = 12.5

y = 55

Since the number of bikes produced must be a whole number, the company can only manufacture 12 mountain bikes in a week.

In conclusion, the company plans to manufacture 12 mountain bikes in a week if they have a budget of $3,000 for materials and $3,250 for labor.

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Using the concept of a confidence interval, it is found that 95% of the 95% confidence intervals will capture the population proportion.

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b, that is, x% of intervals capture the population parameters.

In this problem, applying the interpretation, 95% of the 95% confidence intervals will capture the population proportion.

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9514 1404 393

Answer:

  a. set 1: 29 minutes; set 2: 25 minutes

  b. set 1 is more challenging than set 2

Step-by-step explanation:

a. The mean is found by adding the times and dividing by the number of times. For set 1, that is ...

  (2×27 +2×28 +3×29 +2×30 +33)/10 = 290/10 = 29 . . . minutes

For set 2, that is ...

  (4x24 +4×25 +2×27)/10 = 250/10 = 25 . . . minutes

__

b. The mean of set 1 is higher, and the spread is wider, suggesting more students have more trouble with the problems of set 1. That is, ...

  set 1 is more challenging than set 2

Answer:

h = 9 ft  

Step-by-step explanation:

Assume the diagram is like the one below.

∆ABD is a right triangle.

We can use Pythagoras' Theorem to find the height h.

\(\begin{array}{rcl}h^{2} + 40^{2} & = & 41^{2}\\h^{2} + 1600 & = & 1681\\h^{2} & = & 1681 - 1600\\& = &81\\h& = & \sqrt{81}\\&=& \mathbf{9}\end{array}\\\text{The height of the gable is $\large \boxed{\textbf{9 ft}}$}\)

Answer:

  10 hours

Step-by-step explanation:

Since Eva works 4 times as fast as London, she is doing work equivalent to the work done by 4 Londons. Then all of the work is being done at a rate equivalent to having 5 Londons on the job.

If it takes 5 Londons 2 hours, then it would take one of them 5 times as long, 10 hours.

  London working alone takes 10 hours to do the job.

Answer:

24 fish

Step-by-step explanation:

f = 3 x 2 cubed (2 to the power of 3)

f = 3 x (2 x 2 x 2)

f = 3 x (8)

f = 24

24 fish

9514 1404 393

Answer:

  373 miles

Step-by-step explanation:

The difference in latitude is ...

  39.1° -33.7° = 5.4° = 0.54°(π/180°) radians = 0.03π radians

The arc length is given by ...

  s = rθ, where θ is the angle in radians

The length of the arc along the longitude line is ...

  s = (3960 mi)(0.03π) ≈ 373 mi

The distance from Atlanta to Cincinnati is about 373 miles.

The income elasticity and types of goods, based on the change in demand as a result of a rise in income is:

Clubs are most likely to be classified as a luxury good.

To compute the income elasticity of demand for each good, we use the formula:

Income Elasticity of Demand (E) = (% Change in Quantity Demanded) / (% Change in Income)

Tokens:

E = (15% increase in quantity demanded) / (13% increase in income)

E = 15 / 13

E = 1.15

Hearts:

E = (5% decrease in quantity demanded) / (13% increase in income)

E = -5 / 13

E = -0.38

Clubs:

E = (34% increase in quantity demanded) / (13% increase in income)

E = 34 / 13

E = 2.62

A luxury good is a type of normal good with a high income elasticity of demand (E > 1). In this case, clubs have the highest income elasticity of demand (E = 2.62). Therefore, clubs are most likely to be classified as a luxury good.

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The ratio of 6/5 and 8/7 is 21/20

A ratio is a relationship between two things when it is expressed in numbers or amounts.

For example if the ratio of boys to girls In a class is 4: 5 , this means that there are 4 boys to 5 girls in the class , i.e for every 4 boys there are 5 girls.

For example if two boys are to share 10 mangoes in the ratio 1:4 , this means one will take 2 and the other will take 8

2:4 can also be expressed as 2/4 = 1/2

Similarly, 6/5 : 8/7

= 6/5)/8/7

= 6/5 × 7/8

= 42/40

= 21/20

Therefore the ratio of 6/5 : 8/7 is 21/20

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The maximum and minimum points of the function are (a) (3π/2, -1) (-π/2, -1), (π/2, 3)

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

y = –2 cos (x + π/2) + 1.

Calculating the maximum

Here, we have

y = –2 cos (x + π/2) + 1.

Next, we plot the graph of the function

From the graph of the function, we have the maximum points to be (π/2, 3)

Calculating the minimum

Here, we have

y = –2 cos (x + π/2) + 1.

Next, we plot the graph of the function

From the graph of the function, we have the minimum points to be

(3π/2, -1) (-π/2, -1)

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Answer:

12/8 = 30/x ... x =20minutes

Step-by-step explanation:

Answer:

Amadi: 20 years old

Chima : 4 years old

Answer:

0.6

Step-by-step explanation:

If Lucky received 56 of 180 votes cast, she received 56.  The answer is in the question.

Thus, t has a greater value than s for the co-ordinates (s, -1) and (t, 3).

How to analyze points of an axis for a two dimensional entity?
We can use the fact that both points on the x-axis to compare the values of s and t for the provided parallelogram. As a result, each point that is closest to the x coordinate reflects a higher value than its equivalent counterparts.

Given, the co-ordinates of the parallelogram are: (-2, 3), (s, -1), (0, -1),
(t, 3).
Also, the co-ordinates of the parallelogram are also shown in the figure below.
To compare for the values of s and t for the given parallelogram,
we can analyze that both s and t represent points on the x-axis, therefore any point that stands rightmost with the x co-ordinate represents a higher value than the corresponding counterparts.
Therefore, t has a greater value than s for the co-ordinates (s, -1) and (t, 3), since t is on the right side from s.

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Answer:

1.5 cups of sugar

Step-by-step explanation:

4/2=2

2 dozens of cookie uses 1 cup of sugar.

3/2=1.5

3dozens  of cookie needs 1.5 cup of sugar.

The correct answer is option D. Which is the even function is f (x) = x⁴.

The function in which when the sign of the input variable is changed the output remains the same is called the even function. Mathematically we can write it as f(x) = f(-x ).

let us check the given four options:-

A f(x) = √x ;  f(-x) = √-x  here f(x) ≠ f(-x)

B f(x) = x ;  f(-x) = -x    here f(x) ≠ f(-x)

C f(x)  = x³ + 1 ; f(-x) = -x³ + 1  here f(x) ≠ f(-x)

D f(x)  = x⁴  ;  f(-x) = (-x)⁴ = x⁴  here f(x) = f(-x)

We can see that in the option D the f(x) = x⁴ is an even function because f(x) = f(-x).

Therefore the correct answer is option D. Which is the even function is f (x) = x⁴.

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9514 1404 393

Answer:

  26

Step-by-step explanation:

The question is asking the fraction equivalent of 0.26 (twenty-six hundredths).

That fraction is 26/100 (twenty-six hundredths). The missing number is 26.

Answer:

Dear Friend

the answer is 6

Step-by-step explanation:

Just see the highest possible degree x in each term being multiplied and add the degree

that is

x has a degree 1

(x-1)² has a highest possible x degree as 2

for (x+5)³ it is 3

1+2+3=6

The firm's federal income tax is $57,168.

To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.

In this case, the firm's total income consists of income from operations, interest income, and dividend income.

Total income:

Income from operations = $231,000

Interest income = $23,100

Dividend income = $29,700

Total income = $231,000 + $23,100 + $29,700 = $283,800

Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:

Total expenses = Interest paid to bondholders = $11,000

Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800

Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:

Federal income tax = Taxable income * Federal tax rate

Federal income tax = $272,800 * 0.21 = $57,168

Therefore, the firm's federal income tax is $57,168.

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Answer: 72x

Step-by-step explanation: add all tighter

When edge D connects with edge X, this net is folded into a cube, which is obtained by folding the given figure in cube.

A cube is a solid shape with six square faces. Each side of a square  has the same side length, so all  faces are the same size.

A cube has 12 sides and 8 vertices. Each vertex refers to the angle where the three edges of the cube meet.

Shape Properties of  Cube  

Thus, when edge D connects with edge X, this net is folded into a cube.

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Answer:

Step-by-step explanation:

8(8)7=448 different outfit combinations

The based on this example, we can see that the converse of the Pythagorean theorem does not hold for this particular triangle.

To prove the converse of the Pythagorean theorem, we need to show that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

In the given triangle AABC, with vertices at A(1,6), B(1,1), and C(5,1), we can calculate the lengths of the sides using the distance formula or Pythagorean theorem.

AB = sqrt((1-1)^2 + (6-1)^2) = sqrt(25) = 5

BC = sqrt((5-1)^2 + (1-1)^2) = sqrt(16) = 4

AC = sqrt((5-1)^2 + (6-1)^2) = sqrt(40) = 2sqrt(10)

Now, let's check if AB^2 + BC^2 = AC^2:

AB^2 + BC^2 = 5^2 + 4^2 = 25 + 16 = 41

AC^2 = (2sqrt(10))^2 = 4(10) = 40

Since AB^2 + BC^2 is not equal to AC^2, the given triangle AABC does not satisfy the condition for the converse of the Pythagorean theorem.

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Answer:

See below ~

Step-by-step explanation:

A.

B.

C.

#1

m<5 and m<10 are alternative and equal

#2

They are supplementary

#3

Alternate angles are equal

It is nominal because they all mean the same thing

Answer: 24.2° SouthWest

Step-by-step explanation:

First step: DRAW A PICTURE of the vectors from head to tail (see image)

I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.

Perpendicular (x):

 cos 35° = adjacent/hypotenuse

  cos 35° = x/160

→ x = 160 cos 35°

Angle (θ):

sin θ = opposite/hypotenuse

sin θ = x/320

sin θ = 160 cos 35°/320

    θ = arcsin (160 cos 35°/320)

    θ = 24.2°

Direction is down (south) and left (west)