A bicycle was priced at $400. Later the price was reduced by 20%. What is the price after the reduction?

Answer:

A

Step-by-step explanation:

The common difference is simply the constant we add/subtract each time. In this case, the common difference is 3/2 as can be seen from the recursive formula. In other words, each new \(n\) will be 3/2 larger than the previous.

The answer is A.

Q1) The term logistics involves the process of planning, executing, and controlling the storage and movement of goods. Logistics includes activities such as warehousing, transportation, and distribution to meet customer requirements.

Q2) Outsourcing is a business practice of contracting out certain business activities or processes to external parties or individuals instead of conducting them in-house.

Logistics deals with the physical flow of goods from the point of origin to the point of consumption.In contrast, Supply Chain Management (SCM) encompasses all activities associated with the production and delivery of goods.

SCM is concerned with the management of all business activities that are related to procuring, transforming, and delivering products or services from suppliers to customers. SCM includes activities such as procurement, manufacturing, transportation, inventory management, and warehousing.

Q2) Outsourcing enables businesses to focus on their core competencies while external parties perform non-core activities.A logistics company, for example, might outsource its payroll and accounting functions to an external company, while another company outsources its warehousing, transportation, or distribution functions to a third-party logistics provider (3PL).

An example of outsourcing in logistics could be a company that outsources its transportation to a third-party logistics provider to transport goods from one location to another.

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Answer:

75 km

Step-by-step explanation:

distaance = speed * time

d = 30 * 2.5

d = 75

75 km

Answer:

Hope this helps!

Step-by-step explanation:

21. 1/1000

22. 1 second

23. 0.16666666666

24. 0.1

25. 0.2

26. 5/48

27. 33.9 kilometers

Answer:

The answer is 0.02

Step-by-step explanation:

1/50=0.02

Answer:  resultant

Step-by-step explanation:

Answer:

5 and 5/8 cups

Step-by-step explanation:

3x 1 7/8

3 21/8

5 5/8

Answer:

5 5/8

Step-by-step explanation:

I took a screenshot of the steps

The numbers that can be expressed as a ratio of two integers are called as Rational Numbers , and one such example is \(\frac{2}{3}\) .

What are Rational Numbers ?

The Rational Numbers are defined as the ratio of two integers where the denominator is non zero .

Mathematically , the rational numbers are the numbers that can be expressed in the form of \(\frac{p}{q}\) , where \(q\neq 0\) .

So , We can say that any fraction that fits under category of rational numbers, where denominator and numerator are integers and denominator is not equal to zero.

Few Examples of that can expressed as ratio of integers are :

(i)  \(\frac{1}{2}\) , here 1 and 2 both are integers , and \(2\neq 0\) .

(ii) \(\frac{5}{6}\) , here 5 and 6 both are integers , and \(6\neq 0\) .

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Answer:

ㅤ

Step-by-step explanation:

The value of cos(Z) is 12/13.

Since both triangles are similar, △ABC ~ △XYZ, the corresponding angles are congruent. It means:

m∠C = m∠Z, and

cos C = cos Z

The ratio for cosine is adjacent/hypotenuse. In a right triangle, the hypotenuse is the longest side, while an opposite side is the one across from a given angle, and an adjacent side is the one next to a given angle.

Since the side marked 12 is adjacent to angle C and 13 is the hypotenuse of this triangle; so, we know that:

cos C = 12/13

Thus, because of the angles and cosines for C and Z will be the same, it makes:

cos Z = cos C = 12/13

Hence, the value of cos(Z) is 12/13.

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Answer:

41.3111111111

Step-by-step explanation:

1859/45 = 41.3111111111

Answer:

41.31 with the 1 repeating.

Step-by-step explanation:

No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.

To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.

The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).

The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).

To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:

(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4

Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.

The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.

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True.

if y is not the zero vector, then there exists a non-zero vector v in the original vector space that is orthogonal to y.

If y is in a subspace W as well as its orthogonal complement Wâ¥, then y is orthogonal to every vector in W as well as every vector in Wâ¥. Since W and W⥠are complements, every vector in the original vector space can be written uniquely as the sum of a vector in W and a vector in Wâ¥. Since y is orthogonal to every vector in W and every vector in Wâ¥, it must be orthogonal to every vector in the original vector space.

Therefore, if y is not the zero vector, then there exists a non-zero vector v in the original vector space that is orthogonal to y. But then v would belong to both W and Wâ¥, which is impossible since W and W⥠are orthogonal complements and their intersection is only the zero vector.

Hence, it follows that if y is in a subspace W as well as its orthogonal complement Wâ¥, then y must be the zero vector.

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Answer:

d

Step-by-step explanation:

the length of arc YPX is calculated as

YPX = circumference of circle × fraction of circle

the central angle of arc XY = 90° , then

central angle of arc YPX = 360° - 90° = 270°

YPX = 2πr × \(\frac{270}{360}\) ( r is the radius )

       = 2π × 8 × \(\frac{3}{4}\)

       = 16π × \(\frac{3}{4}\)

       = 4π × 3

       = 12π m

Answer:

1. y=4

y=x+7

4=x+7

x= -3 , y= 4

2. y=3x

y=x+5

3x=x+5

2x=5

x=5/2 or 2.5

y= 3(5/2)

y= 15/2 or 7.5

x= 2.5, 7= 7.5

Answer:

1. x= -3           2. x= 5/2

Step-by-step explanation:

You need to substitute the second y equation given into the first one to find x. Then get x by itself on one side.

1. 4= x + 7

  -7       -7

  -3 = x

  x= -3

2. 3x= x + 5

   -x    -x

   2x= 5

  (2x= 5) /2

   x= 5/2

Yes, there is sufficient evidence at the 0.02 level that the valve does not perform to the specifications.

Null hypothesis: The valve produces a mean pressure of 4.8 lbs/square inch.

Alternative hypothesis: The valve does not produce a mean pressure of 4.8 lbs/square inch.

To test this hypothesis, we can use a one-sample t-test. Using the given information, we can calculate the test statistic:

t = (4.9 - 4.8) / (0.6 / sqrt(100)) = 1.67

Using a t-distribution table with 99 degrees of freedom and a significance level of 0.02, we find the critical value to be ±2.602. Since the absolute value of the test statistic (1.67) is less than the critical value (2.602), we fail to reject the null hypothesis. Therefore, we do not have sufficient evidence to conclude that the valve does not perform to the specifications.

In other words, based on the given sample of 100 engines, we cannot conclude that the valve is not producing the desired mean pressure of 4.8 lbs/square inch. However, it's important to note that this conclusion is based on a specific sample and may not generalize to all situations. It's always important to consider the limitations and assumptions of statistical tests.

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Answer:

0.3904

Step-by-step explanation:

0.8^-3 = 0.8^1 - 0.8^4 = 0.8 - 0.4096 = 0.3904

Step-by-step explanation:

(gof)(x) is basically g(f(x))

= 4 × (3x - 1)² + 9

= 4 × (9x² - 6x + 1) + 9

= 36x² - 24x + 4 + 9

= 36x² - 24x + 13

When checking alignment angles in a vehicle, a technician should look for several factors to ensure proper alignment:

a. All angles within factory specifications: The technician should check if all the alignment angles, including camber, caster, and toe, fall within the specified range provided by the vehicle manufacturer.

b. The camber on the left and right should be within 0.5 degrees of each other: Camber refers to the inward or outward tilt of the wheels when viewed from the front of the vehicle.

c. The caster on the left and right should be within 0.5 degrees of each other: Caster refers to the angle of the steering axis when viewed from the side of the vehicle. It helps provide stability and steering control.

By checking these factors and ensuring they meet the specified criteria, the technician can ensure that the vehicle's alignment is correct, promoting optimal tire wear, handling, and overall performance.

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Answer:

15

Step-by-step explanation:

We can find value of x using similarity ratio

(3x-5)/32 = (5x-5)/56 cross multiply expressions

56×(3x-5) = 32×(5x-5)

21x - 20x = 35 - 20

x = 15

Answer:

9. 7*12*14=1176

10. 6*5*8=240

11.6*8*15=720

12. 11*5*9=495

13.  7*16*28=3136

14. 13*8*24=2496

Answer:

Slope: 1/2

Y-intercept: -1

Equation: y = 1/2x - 1

Answer:

The inequality is \(9\leq p\leq 15\)

Step-by-step explanation:

The minimum number of players is 9 and the maximum number of players are 15.

let the number of players is p.

The inequality is given by

\(9\leq p\leq 15\)

Let x= the average for all three classes combined. So x=85.25.

When you add two or more numbers and divide the result by the number of numbers you added together, you obtain an average.

The arithmetic mean is determined by adding a collection of numbers, dividing by their count, and obtaining the result.

average  =  total points / number of students

total points = average*number of students

Let the total number of students in  each class = a , b  and x

The total number of points the first class amassed  was   80a

The total number of points amassed by the second class was  85b

The total number of points amassed by the third class = 89c

For the first two classes we have

[ 80a + 85b ] / [ a + b] = 83

80a + 85b = 83a + 83b  

subtract  80a, 83b from both sides    

3a = 2b

a = 2/3b

For the second two classes we have

[ 85b + 89c ]  / [ b + c ]  =  87  

[  85b + 89c ]  = 87 [b + c]

85b + 89c = 87b + 87c      

subtract  85b, 87c from both sides

2c = 2b  

b  = c

For the three classes.....

Total points by all three classes /  number of class members  = the average for all three classes

[ 80a + 85b  + 89c ] /  [ a + b + c ]   =[sub for  a and c ]  

[80 (2/3)b  + 85b  + 89b]  /  [ (2/3)b  + b  + b ]  

b [ 80 (2/3)  + 85  + 89 ]  / [  b [( 2/3) + 1 + 1] ]       [cancel the b's ]

[ 80 (2/3) + 85 + 89]  [  8/3 ]

[ 160/3 + 85 + 89 ] /  [8/3] =

[ 160/3  + 255/3 + 267/3]  / [8/3]     multiply  top/bottom by 3

[160 + 255 + 267 ] / 8  =  

85.25  = average for all three classes

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The power output is  = 5W

Correct option is B.

Power is the quantity of energy that is transferred or transformed in a certain length of time. The unit of power is the watt, which in the International System of Units is equivalent to one joule per second.. Power may also be referred to as activity in earlier writings. The scalar property of power

Power is characterized as the rate at which a thing performs labor.

P = W/T ..... (1)

Work is calculated as the product of force applied to an item and the distance that object has traveled.

W = F.s

When we plug this value into the equation above, we get:

P = (F. s)/t

where,

power = P =?W

F = 10N Force Exercised

s = Displacement = 400cm = 4m  (1 meter = 100 centimeters).

t = Time required = 8s

Using the values in the equation above, we obtain

P = (10 x 4)/8

P = 5W

Hence, the correct option is Option b.

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I understand that the question you are looking for is :

Den pushes a desk 400 cm across the floor. He exerts a force of 10 N for 8 s to move the desk.

What is his power output? (Power: P = W/t)

a. 1.25 W

b. 5 W

c. 40 W

d.500 W

Answer: QS is 76

Step-by-step explanation:

Since R is the midpoint of QS:

1) 2x+16 = 5x-17

2) 2x+16+17 = 5x-17+17

3) 2x-2x+33 = 5x-2x

4) 33 = 3x

5) 11 = x

Since the sum of QR and RS equal QS:

1) (2·11+16)+(5·11-17) = QS

2) 22+16+55-17

3) 76 = QS

The car will take approximately 5.87 seconds to reach a velocity of 27 m/s. During this time, it will travel approximately 81.53 meters.

To determine the time it takes for the car to reach a velocity of 27 m/s and the distance it travels during that time, we can use the equations of motion. Assuming the car starts from rest, we can use the following equations:

1. v = u + at

2. s = ut + (1/2)at^2

where:

v = final velocity (27 m/s)

u = initial velocity (0 m/s, since the car starts from rest)

a = acceleration (4.6 m/s^2)

t = time taken

s = distance traveled

First, let's calculate the time it takes for the car to reach a velocity of 27 m/s using Equation 1:

27 = 0 + 4.6t

Simplifying the equation, we have:

4.6t = 27

Dividing both sides by 4.6, we find:

t = 27 / 4.6

t ≈ 5.87 seconds

Therefore, it will take approximately 5.87 seconds for the car to reach a velocity of 27 m/s.

Next, let's calculate the distance traveled by the car during this time using Equation 2:

s = (0)(5.87) + (1/2)(4.6)(5.87)^2

Simplifying the equation, we have:

s = (1/2)(4.6)(5.87)^2

s ≈ 81.53 meters

Therefore, the car would travel approximately 81.53 meters during the time it takes to reach a velocity of 27 m/s.

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The equation 70 = 14t can be used to find the number of teams in the contest. By solving this equation, we found that there were 5 teams in the contest.

70 = 14t

To find the number of teams in the contest, we can use the equation 70 = 14t. This equation states that the total number of water balloons, 70, is equal to the number of teams, t, multiplied by the number of balloons each team gets, 14.

To solve this equation, we can divide both sides of the equation by 14. This will give us the equation t = 70/14. We can then simplify this equation by dividing 70 by 14. This gives us t = 5. This means that there are 5 teams in the contest.

Therefore, the equation 70 = 14t can be used to find the number of teams in the contest. By solving this equation, we found that there were 5 teams in the contest.

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