Find the value of u. If the volume is 560

Answer:

\(26M + 56D = 2278\) ---- equation 1

\(M = 3D\) ---- equation 2

A microscope costs S51 and a dissection kit costs S17

Step-by-step explanation:

Given

Represent microscope with M and Dissection kits with D

Cost:

\(M = 3D\)

\(Total = 2278\)

Required

Represent as an equation:

To do this, we represent the equation in terms of cost and quantity

In terms of cost, we have:

\(26M + 56D = 2278\) ---- equation 1

and

\(M = 3D\) ---- equation 2

Substitute 3D for M in equation 1

\(26*3D + 56D = 2278\)

\(78D + 56D = 2278\)

\(134D = 2278\)

Divide both sides by 134

\(D = \frac{2278}{134}\)

\(D = 17\)

Substitute 17 for D in \(M = 3D\)

\(M = 3 * 17\)

\(M = 51\)

Hence:

A microscope costs S51 and a dissection kit costs S17

Answer:

C)

Step-by-step explanation:

Have a great day

The first term is, x2 its coefficient is 1 .

The middle term is, -4x its coefficient is -4 .

The last term, "the constant", is +3

Step-1 : Multiply the coefficient of the first term by the constant 1 • 3 = 3

Step-2 : Find two factors of 3 whose sum equals the coefficient of the middle term, which is -4 .

-3 + -1 = -4 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and -1

x2 - 3x - 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-3)

Add up the last 2 terms, pulling out common factors :

1 • (x-3)

Step-5 : Add up the four terms of step 4 :

(x-1) • (x-3)

Which is the desired factorization

- BRAINLIEST answerer

Answer:

a= 1 b= -4 c= 3

D= b² - 4ac

D= (-4)² - 4.1.3

D= 16 - 12

D= 4

x¹= - b - 2/ 2

x¹= 1

x²= - b + 2/2

x²= 3

I think that's the correct answer

The correct answer is:

Function f is translated to the right 7 units.

Function f is translated down 4 units

Answer:

Let's start by setting up some equations based on the given information.

Let's say that Len earns x dollars in a week. Then we know that Jean earns $15 more than Len, so Jean earns x + 15 dollars in a week.

We also know that each week they spend $80 on Brawl Stars and save the rest. So if they each save s dollars per week, we can set up the following equations:

Jean: x + 15 - 80 = s

Len: x - 80 = s

We also know that when Jean saves $120, Len saves $75. So we can set up another equation based on this information:

(x + 15 - 80) * n = 120

(x - 80) * n = 75

where n is the number of weeks we're considering (in this case, 4).

Now we can solve for x:

(x + 15 - 80) * 4 = 120

-260 + 4x = 120

4x = 380

x = 95

So Len earns $95 per week, and Jean earns $15 more than that, or $110 per week.

We can also solve for s:

Jean: 95 + 15 - 80 = s

s = 30

Len: 95 - 80 = s

s = 15

So each week, Jean saves $30 and Len saves $15.

Finally, we can calculate how much they earn altogether in 4 weeks:

Jean: 4 * 110 = 440

Len: 4 * 95 = 380

Together, they earn $440 + $380 = $820 in 4 weeks.

The hourly wage in 10 years = $12.37,  In this scenario, automobile plant workers' hourly wages increased from $6.10 to $8.58 over a period of 7 years, with the wages growing exponentially.

To calculate their hourly wage in 10 more years, we will use the exponential growth formula:

Final Amount = Initial Amount * (1 + Growth Rate)^Years

First, we need to find the annual growth rate. To do this, we can rearrange the formula as follows:

Growth Rate = [(Final Amount / Initial Amount)^(1 / Years)] - 1

Plugging in the given values:

Growth Rate = [(8.58 / 6.10)^(1 / 7)] - 1
Growth Rate ≈ 0.0476

Now that we have the annual growth rate, we can calculate their hourly wage in 10 more years:

Hourly Wage in 10 Years = 8.58 * (1 + 0.0476)^10
Hourly Wage in 10 Years ≈ $12.79

Therefore, the automobile plant workers' hourly wage will be approximately $12.79 in 10 more years, assuming their wages continue to grow exponentially at the same rate.

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Answer:

A. 1/220   B. 1/22   C. 3/11

Step-by-step explanation:

This question uses combinations -- counting the number of ways a selection can be made from a set of objects (without arranging them after the selection is done).

Notations for combinations:

The number of ways to select  r  things from a set of  n  things is

\(C(n,r)=\frac{n!}{r!(n-r)!}\)  where the exclamation points mean factorial.

\(n!=1\cdot2\cdot3\ldots\cdot n\)  and 0! is defined to be 1.

There are two other commonly used symbols for this:

\(_nC_r\)  and  \(n \choose x\).

In all three parts, the number of ways to choose 3 balls from a set of 12 is

\(C(12,3) = \frac{12!}{3!(12-3)!}=\frac{12\cdot 11 \cdot 10 \cdot 9\cdot 8\cdot 7\cdot 6\cdot 5\cdot4\cdot3\cdot2\cdot1}{(3\cdot2\cdot1)(9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1)}\)

Notice that 9 factors in the denominator cancel 9 factors in the numerator, leaving

\(C(12,3) = \frac{12!}{3!(12-3)!}=\frac{12\cdot 11 \cdot 10}{3\cdot2\cdot1}=220\)

A. The number of ways to choose 3 red balls from the 3 red balls is C(3, 3) = 1, so the probability is 1 / 220.

B)  The number of ways to choose 3 green balls from the set of 5 green balls is \(C(5,3)=\frac{5!}{3!(5-3)!}=\frac{5!}{3!2!}=\frac{5\cdot 4}{2}=10\)  out of 220, so the probability is 10/220 = 1/22.

C)  The number of ways to choose 1 red is C(3, 1) = 3.  Choose 1 green in C(5, 1) = 5 ways.  Choose 1 white in C(4, 1) = 4 ways.

The probability is  \(\frac{3\cdot 5 \cdot 4}{220}=\frac{60}{220}=\frac{3}{11}\)

Answer:

a) 1/220

b) 1/22

c) 3/11

Step-by-step explanation:

Check the attachment.

The acceleration of the truck when it has a mass of 5000 kg and the truck driver presses on the brakes is 1.2m/s².

The rate of change of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations.

The orientation of an object's acceleration is determined by the orientation of the net force acting on that object's acceleration, which is the rate at which velocity changes over time in terms of both speed and direction. A point or object moving in a straight line is accelerated if it accelerates or decelerates.

Acceleration will be:

= Force / mass

= 6000 / 5000

= 1.2 m/s²

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Answer:

x = -1

Step-by-step explanation:

2(x - 3) = -8

2x - 6 = -8

2x = -8 + 6

2x = -2

2x/2 = -2/2

x = -1

According to the given statement ,  the expression cannot be factored into a product of two binomials.

To factor the expression 4z² - 20z + 25, we need to find two binomials that multiply to give us the original expression. First, we check if it can be factored using the ac method.

We need to find two numbers that multiply to give us 4 * 25 = 100 and add up to -20. However, there are no two numbers that satisfy this condition.

Therefore, the expression cannot be factored into a product of two binomials.

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Answer:

36°.

Step-by-step explanation:

According to the question, m∠ABD is a straight angle. This means that it is a 180 degree angle.

m∠CBD and m∠ABC add up to make the straight angle, so the two measures add to be 180 degrees.

(8x + 16) + (6x - 60) = 180

8x + 6x + 16 - 60 = 180

14x - 44 = 180

14x = 224

x = 16

m∠ABC = 6x - 60

6 * 16 - 60 = 96 - 60 = 36

So, m∠ABC = 36°

Hope this helps!

Answer:

36 degrees

Step-by-step explanation:

8x + 16 + 6x - 60 = 180

14x = 224

x = 16

m<ABC = 6x-60

m<ABC = 96-60

m<ABC = 36

Answer:

12 units right

17 1/2 units up  

Step-by-step explanation:

Answer:

you lied about 50 points

but here is your answer

12 units right

17 1/2 units up  

Step-by-step explanation:

For 10 cups of Purple Paint there are 7.5 cups of White paint.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

The cups of purple paint is proportional to cups of white paint.

Then, the ratio is

Purple / White = 4/3

So, when Purple paint is 10 then the white paint will be

= 10 x 3/4

=  30/4

= 7.5

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a. The linear equation for the number of immigrants is y = 16,033.444t - 16,764,061.4.

b. The predicted number of immigrants admitted to the country in 2014 is approximately 1,825,753.

c. The validity of using this equation to model the number of immigrants throughout the entire 20th century is questionable due to the negative y-intercept, which implies negative immigrants in the year 1900.

a. Assuming a linear change in immigration, we can write the equation expressing the number of immigrants, y, in terms of t, the number of years after 1900, as:

y = mt + b

where m represents the rate of change (slope) and b represents the initial value (y-intercept).

To find the values of m and b, we can use the given data points (1950, 241,832) and (2004, 1,107,638).

Let's calculate the slope (m):

m = (change in y) / (change in t)

m = (1,107,638 - 241,832) / (2004 - 1950)

m = 865,806 / 54

m ≈ 16,033.444

Now, let's substitute one of the data points (1950, 241,832) into the equation to find the value of b:

241,832 = (16,033.444)(1950) + b

b = 241,832 - (16,033.444)(1950)

b ≈ -16,764,061.4

Therefore, the linear equation for the number of immigrants is:

y = 16,033.444t - 16,764,061.4

b. To predict the number of immigrants admitted to the country in 2014, we need to find the value of y when t = 2014 - 1900 = 114:

y = 16,033.444(114) - 16,764,061.4

Calculating the expression:

y ≈ 1,825,753.216

Therefore, the predicted number of immigrants admitted to the country in 2014 is approximately 1,825,753.

c. Considering the value of the y-intercept in the equation (-16,764,061.4), it suggests that in the year 1900 (t = 0), there were already negative immigrants, which does not make sense in the context of immigration. Therefore, using this linear equation to model the number of immigrants throughout the entire 20th century may not be valid. It is important to consider the limitations of the linear model and the historical context of immigration patterns.

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Complete Question:

In 1950, there were 241,832 immigrants admitted to a country. In 2004, the number was 1,107,638

a. Assuming that the change in immigration is linear, write an equation expressing the number of immigrants, y, in terms of t, the number of years after 1900

b. Use your result in part a to predict the number of immigrants admitted to the country in 2014

c. Considering the value of the y-intercept in your answer to part a, discuss the validity of using this equation to model the number of immigrants throughout the entire 20th century.

Answer:

Each side is 15 ft

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

225 ft^2 = s^2

Take the square root of each side

sqrt ( 225 ft^2) = sqrt ( s^2)

15 ft = s

Each side is 15 ft

Answer:

x=-4.1

Step-by-step explanation:

-2.8=x+1.3

-4.1=x

so B

The five-number summary is:

Minimum: 9

First Quartile: 16.5

Median: 25.5

Third Quartile: 39

Maximum: 51

3. Range = 42

4. Interquartile range = 22.5

Given the data for the lengths as, 36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20, to find the five-number summary of the data set, we would follow the steps below:

1. The numbers in ordered from the smallest to the largest would be:

9, 14, 15, 18, 20, 22, 29, 36, 36, 42, 45, 51

2. The five-number summary for the lengths in minutes would be:

3. Range of the data = max - min = 51 - 9 = 42

4. The interquartile range for the data set = Q3 - Q1 = 39 - 16.5

Interquartile range for the data set = 22.5

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Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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The predicted gain (or loss) from a single trial is 53 cents per game on average.

A roulette wheel has the number 1 through 36, as well as 0 and 00. If you wager $1 that an odd number would show up, you will win or lose $1 depending on whether or not that occurrence occurs. If random variable X represents your net benefit, X=1 with probability 18/38 and X=-1 with probability 20/38.

E(X) = 1(18/38) – 1 (20/38) = -$.053

On average, the casino wins  5 cents for each game.

If the stakes are raised, the casino makes even more money:

E(X) = 10(18/38) – 10 (20/38) = -$.53

If the cost is $10 for each game, the casino wins an averaged of 53 cents per game. If 10,000 games are played in a single night, that's a cool $5300.

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Answer:

Step-by-step explanation

the figure is composed of a square with an isosceles right triangle inside, we find the area of ​​the square and we take away the area of ​​the triangle.

Triangle area = lxl, right-angled triangle area side by side divided by two.

8 * 8 = 64cm²

6 * 6 : 2 = 18 cm²

Area of the shaded region

64 - 18 = 46 cm²

The cross sectional area of the cargo trailer floor, which is a composite figure consisting of a square and an isosceles triangle, indicates that the volume of the inside of the trailer is about 3,952 ft³.

A composite figure is a figure comprising of two or more regular figures.

The possible cross section of the trailer, obtained from a similar question on the internet, includes a composite figure, which includes a rectangle and an isosceles triangle.

Please find attached the cross section of the Cargo Trailer Floor created with MS Word.

The dimensions of the rectangle are; Width = 6 ft, length = 10 ft

The dimensions of the triangle are; Base length 6 ft, leg length = 4 ft

Height of the triangular cross section = √(4² - (6/2)²) = √(7)

The cross sectional area of the trailer, A = 6 × 10 + (1/2) × 6 × √(7)

A = 60 + 3·√7

Volume of the trailer, V = Cross sectional area × Height

V = (60 + 3·√7) × 6.5 = 3900 + 19.5·√7

Volume of the trailer = (3,900 + 19.5·√(7)) ft³ ≈ 3952 ft³

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Step-by-step explanation:

The cube have 6 sides.

The 2 sides are base surface and the other 4 are lateral surface.

A=4L

4A=4❨4L)

4A=16L

4A=16(2 3/4)

4A=16(11/4)

4A=4(11)

4A=44

so the lateral surface is 44

Given:

The base length is 6 ft, the base height is 5 ft, and the prism height is 7 ft.

To find:

The volume of the triangular prism.

Solution:

Base of a triangular prism is a triangle with base length 6ft and height 5 ft.

Area of a triangle is

\(Area=\dfrac{1}{2}\times Base\times Height\)

So, the area of the base is

\(B=\dfrac{1}{2}\times 6\times 5\)

\(B=\dfrac{30}{2}\)

\(B=15\)

Now, the volume of a triangular prism is

\(V=Bh\)

Where, B is the base area and h is the height of the prism.

Putting B=15 and h=7, we get

\(V=(15)(7)\)

\(V=105\)

Therefore, the volume of the triangular prism is 105 cubic ft.

the average number of customers in the barbershop that a guy should expect to see is 5.

To find the average number of customers in the barbershop that a guy should expect to see, we need to calculate the average number of customers present in the system, which includes both those being served by the barber and those waiting in the queue.

Let's denote:

λ = average customer arrival rate per day = 20 customers/day

μ = average service rate per day = 60 minutes/hour / 20 minutes/customer = 3 customers/hour

Since the barber works for 8 hours a day, the average service rate per day is 8 hours * 3 customers/hour = 24 customers/day.

Using the M/M/1 queuing model, where arrival and service times follow exponential distributions, we can calculate the average number of customers in the system (including the one being served) using the following formula:

L = λ / (μ - λ)

L = 20 customers/day / (24 customers/day - 20 customers/day)

L = 20 customers/day / 4 customers/day

L = 5 customers

Therefore, the average number of customers in the barbershop that a guy should expect to see is 5.

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Change management is a significant challenge for many organizations during enterprise system implementation due to various factors such as resistance to change, organizational culture, lack of employee engagement, and inadequate communication and training.

During enterprise system implementation, organizations typically undergo significant changes in processes, roles, and technologies. This can lead to resistance from employees who may be accustomed to existing ways of working. Resistance to change can hinder the adoption and utilization of the new system, affecting its success.

Organizational culture also plays a role. If the organization has a rigid or hierarchical culture that is resistant to change or lacks a culture of innovation and learning, it becomes difficult to implement and integrate the new system effectively.

Lack of employee engagement and involvement in the implementation process can further impede change. Employees need to understand the reasons behind the change, how it will benefit them and the organization, and be provided opportunities for input and feedback.

Inadequate communication and training can be a major obstacle. Employees must be informed about the changes, their roles and responsibilities, and be provided with sufficient training to effectively use the new system. Insufficient communication and training can lead to confusion, frustration, and resistance.

Overall, change management is crucial during enterprise system implementation to address these challenges and ensure a smooth transition, user acceptance, and successful adoption of the new system.

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The dimension of the shape is approximately 1.45 meters by 0.55 meters

Assume the shape is a rectangle, that has the following dimensions.

Length = x

Width = y

So, the area is:

Area = xy

The perimeter is

Perimeter = 2(x + y)

Substitute known values

\(\mathbf{xy = 0.8m^2}\)

\(\mathbf{2(x+y) = 400cm}\)

Express cm as m

\(\mathbf{2(x+y) = 4m}\)

Divide through by 2

\(\mathbf{x+y = 2m}\)

Make x the subject (ignore the units)

\(\mathbf{x= 2 - y}\)

Substitute 2-y for x in \(\mathbf{xy = 0.8m^2}\)

\(\mathbf{(2-y)y = 0.8}\)

Open brackets

\(\mathbf{2y-y^2 = 0.8}\)

Rewrite as:

\(\mathbf{y^2 - 2y + 0.8 = 0}\)

Using a calculator, we have:

\(\mathbf{y \approx (0.55,1.45)}\)

Recall that:

\(\mathbf{x= 2 - y}\)

So, we have:

\(\mathbf{x \approx (2-0.55,2-1.45)}\)

\(\mathbf{x \approx (1.45,0.55)}\)

Hence, the dimension of the shape is approximately 1.45 meters by 0.55 meters

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Answer:

12/21 or 4/7 I think

Step-by-step explanation:

The slopes of lines DE and BC are the same, proving that the lines are parallel.

Parallel lines have an equal slope. The slope of parallel lines is equal because they are all equally inclined with respect to the positive x-axis. If m1 and m2 are the slopes of two parallel lines, then m1 = m2 is the result.

Given:

coordinates of A = (4, 6)

coordinates of B = (2,-2)

coordinates of C = (-2,-4)

Now we calculate the midpoints of AB and AC

the midpoint of AB:

x = ( x₁ + x₂) / 2

  = ( 4 + 2 ) / 2

  = 3

y =  ( y₁ + y₂) / 2

  = ( 6 - 2 ) / 2

  = 2

The coordinates of D are (3,2).

the midpoint of AC:

x = ( x₁ + x₂) / 2

  = ( 4 - 2 ) / 2

  = 1

y =  ( y₁ + y₂) / 2

  = ( 6 - 4 ) / 2

  = 1

The coordinates of E are (1, 1).

To prove lines DE and BC are parallel,

Slope of CB = y₂ - y₁ / x₂ - x₁

                   = 2 - (-4) / 2 - (-2)

                  = -2 + 4/ 2 + 2

                  = 2/4

                 = 1/2

Slope of ED = y₂ - y₁ / x₂ - x₁

                   = 2 - 1 / 3 - 1

                   =  1/2

The slopes of lines DE and BC are the same hence the lines are parallel.

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