Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB?
O
U/N N/UT
아름
25 52
이름
돌

Answer:

28 studnets in the class

Step-by-step explanation:

Answer:

3x^2+7x-20

Step-by-step explanation:

Answer:

expand the brackets

3x^2 + 7x -20

Step-by-step explanation:

(3x-5)(x+4)

= 3x^2 + 12x - 5x + 20

= 3x^2 + 7x + 20

The first step needed to solve the equation of the word sentence, 4 over 7 multiplied by x minus 5 equals negative 13, is to add 5 to both sides.

According to the question,

We have the following information:

4 over 7 multiplied by x minus 5 equals negative 13

Now, we will first convert this word sentence into an expression:

(4/7)x-5 = -13

Or this equation can rewritten as follows:

4x/7-5 = -13

Now, the first step to solve this equation should be to add 5 on both sides of the equation.

(More to know: we can easily solve this equation to find the value of x.)

Hence, the correct option is A.

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Answer:

d. All of the above are true

Step-by-step explanation:

All of the following statements,

a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.

b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.

C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.

are true

Answer:

z = 115 degrees

x = 15

y = 25

Step-by-step explanation:

The angles do not change so z = 115 degrees as it is congruent to angle R

30/25 = 18/x

18 x 25 = 30x

450 = 30x

x = 15

30/y = 18/15

30 x 15 = 18y

450 = 18y

y = 25

Answer:

The ratio of girls to total students is 12:30, which can be simplified to 2:5.

Step-by-step explanation:

You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.

Answer:

In this question the value of x is given 29 so put it in the equation to get answer

\(h(x) = {x}^{2} + 4\)

put the value of x = 29 in the above equation

\(h(x) = {29}^{2} + 4\)

so after solving this equation we get our answer

\(h(x)= 841 + 4\)

\(h(x) = 845\)

Hope it helps u mate

if u like leave a thank

Answer:

the variable x=12.5

Step-by-step explanation:

so first you will insert 29 to the equation

29= x2+4

now you subtract 4 from 29

29-4= 25

since you are multiplying you have to do the opposite operation which would be division so now divide 25 by 2

25/2

now insert your answer

h(12.5)=(12.5)2+4

h would be considered 2.32

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So, the percent of people who like other games equals:

= 100 – (55 + 30)

= 100 – 85

= 15%

If the total no. of. people is 60,00,000:

★ Cricket

= 60,00,000 × 55/100

= 33,00,000

★ Football

= 60,00,000 × 30/100

= 18,00,000

★ Other sports

= 60,00,000 × 15/100

= 9,00,000

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Answer:

y = x³ + 4

Step-by-step explanation:

Consider the differences between the values of y, that is

5  ,   12  ,  31  ,  68  ,  129

    7        19     37      61 ← not constant

Now consider the differences of the first differences

  7  ,  19  ,  37  ,  61

      12      18     24 ← not constant

Now consider the differences of the second differences

   12  ,  18  ,  24

        6        6 ← constant

Since the third differences are constant this indicates a cubic, that is

y = x³ + c ( where c is a constant )

Substitute the values of x into the equation

y = 1³ = 1 ← require to add 4 to obtain the required 5

y = 2³ = 8 ← require to add 4 to obtain the required 12

y = 3³ = 27 ← require to add 4 to obtain the required 31

y = 4³ = 64 ← require to add 4 to obtain the required 68

y = 5³ = 125 ← require to add 4 to obtain the required 129

Thus the equation is

y = x³ + 4

As a backpack designer at a sportswear company, my team has been assigned the task of creating a smaller toddler size backpack and a larger teen size backpack based on our already popular kids model. In addition to designing these new backpacks, we will also create accessories that can be sold alongside them.

For the smaller toddler size backpack, our focus will be on ensuring a comfortable fit for young children while incorporating fun and age-appropriate designs. We will consider using lightweight and durable materials to make it easier for toddlers to carry. The backpack will have adjustable straps to accommodate their smaller frames and promote proper weight distribution. As for accessories, we can design detachable safety harnesses, featuring playful characters or animal shapes, to help parents keep their toddlers close in crowded places.

For the larger teen size backpack, we will prioritize functionality and style to cater to the needs and preferences of teenagers. The backpack will have ample storage compartments to accommodate textbooks, laptops, and other school essentials. We will also consider incorporating features like padded laptop sleeves, water bottle pockets, and headphone ports to enhance convenience and usability. To complement the backpack, we can design coordinating accessories such as pencil cases, lunch bags, and keychain attachments that match the overall design aesthetic.

Throughout the design process, we will ensure that both the toddler and teen size backpacks maintain the high quality and attention to detail that our brand is known for. Our team will carefully select fabrics, hardware, and zippers that are durable and long-lasting, considering the wear and tear expected in different age groups. We will also focus on ergonomic design principles to prioritize comfort and proper weight distribution for both the smaller and larger backpacks.

By expanding our backpack line to include smaller toddler and larger teen sizes, along with the accompanying accessories, we aim to provide functional, stylish, and age-appropriate options for a broader range of customers.

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The kangaroo maximum height is 8.5 feet

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

Initial height = 4 ft

Initia; velocity = 24 ft/s

We start by writing the height function as

h(t) = -32t^2 + 24t + 4

Where

32 = acceleration of gravity

So, we differentiate and set to 0

-64t + 24 = 0

Solve for t

t = 24/64

So, we have

Max height = -32(24/64)^2 + 24(24/64) + 4

Evaluate

Max height = 8.5

Hence, the max height = 8.5

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The probability that an arriving student will find at least one other student waiting in line is approximately 0.167.

To solve this problem, we'll use the M/M/1 queueing model with Poisson arrivals and exponential service times. Let's calculate the required values: (a) Percentage of time Judy is idle: The utilization of the system (ρ) is the ratio of the average service time to the average interarrival time. In this case, the average service time is 10 minutes, and the average interarrival time is 12 minutes. Utilization (ρ) = Average service time / Average interarrival time = 10 / 12 = 5/6 ≈ 0.8333

The percentage of time Judy is idle is given by (1 - ρ) multiplied by 100: Idle percentage = (1 - 0.8333) * 100 ≈ 16.67%. Therefore, Judy is idle approximately 16.67% of the time. (b) Average waiting time for a student:

The average waiting time in a queue (Wq) can be calculated using Little's Law: Wq = Lq / λ, where Lq is the average number of customers in the queue and λ is the arrival rate. In this case, λ (arrival rate) = 1 customer per 12 minutes, and Lq can be calculated using the queuing formula: Lq = ρ^2 / (1 - ρ). Plugging in the values: Lq = (5/6)^2 / (1 - 5/6) = 25/6 ≈ 4.17 customers Wq = Lq / λ = 4.17 / (1/12) = 50 minutes. Therefore, on average, a student spends approximately 50 minutes waiting in line.

(c) Average length of the line: The average number of customers in the system (L) can be calculated using Little's Law: L = λ * W, where W is the average time a customer spends in the system. In this case, λ (arrival rate) = 1 customer per 12 minutes, and W can be calculated as W = Wq + 1/μ, where μ is the service rate (1/10 customers per minute). Plugging in the values: W = 50 + 1/ (1/10) = 50 + 10 = 60 minutes. L = λ * W = (1/12) * 60 = 5 customers. Therefore, on average, the line consists of approximately 5 customers.

(d) Probability of finding at least one student waiting in line: The probability that an arriving student finds at least one other student waiting in line is equal to the probability that the system is not empty. The probability that the system is not empty (P0) can be calculated using the formula: P0 = 1 - ρ, where ρ is the utilization. Plugging in the values:

P0 = 1 - 0.8333 ≈ 0.1667. Therefore, the probability that an arriving student will find at least one other student waiting in line is approximately 0.167.

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The Speed of the train in Miles per hour will be 105 miles per hour.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

A train travels at a constant speed during a portion of its cross-country route the table shows the distance the train traveled over different intervals of time at this speed.

The slope represents the speed of the train. Then we have

m = (157.5 - 131.25) / (1.50 - 1.25)

m = 26.25 / 0.25

m = 105 miles per hour

The Speed of the train in Miles per hour will be 105 miles per hour.

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Answer:

75%

Step-by-step explanation:

The value of x for the given equation is 16.

To find the value of x in the equation x + 10 = 26, we need to isolate x on one side of the equation by performing the same operation to both sides of the equation.

We can start by subtracting 10 from both sides of the equation:

x + 10 - 10 = 26 - 10

Simplifying the left-hand side gives:

x = 16

Therefore, the value of x is 16, as this is the solution that satisfies the equation x + 10 = 26.

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The complete question is below:

Find the value of x: for x +10 = 26

Answer:

y = 2x + 1 --> linear

y = -4x + 7 --> non-linear

Not a solution for linear system.

Step-by-step explanation:

for (a), y = 2x+1, substitute the x and y values. keep in mind, that in a linear pair, (x, y). So, for the first equation you get:

7 = 2x3 + 1. This is correct, because 6 + 1 is 7. Therefore, (a) is linear.

for (b), we have to substitute our values again. You get:

7 = -4x3 + 7, which is

7 = -12+7, which is not true. So, (b) is not linear.

This means that for the linear pair (3, 7), it does not satisfy both equations, which means that it is not a solution for the linear system.

Answer: NO

Step-by-step explanation: quizzez

Solution:

We are required to determine which is a geometric sequence.

Firstly, let us look at what a Geometric sequence is .

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

In summary, a Geometric sequence has a common ratio.

Let us take a look at the options one after the other

A. -5,0,10,25,45

B. 1,2,4,8,16

C.-3,1,5,9

D. 4,8,24,96,480

Thus, the answer is B. 1,2,4,8,16

Answer:

m = 17/4

Step-by-step explanation:

(11, -18) & (19, 16)

Slope Formula:

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

m=(16 + 18)/(19-11)

m=(34)/8

m = 17/4

Phase 5: The system of implementation is conversion.

Option B is the correct answer.

We have,

Phase 5 of the system development life cycle is commonly referred to as "Conversion" or "Systems Implementation."

During this phase,

The focus shifts from planning and designing the system to actually implementing it.

This phase involves the conversion of the old system to the new system, which includes activities such as data conversion, software installation, hardware setup, user training, and system testing.

The term "Conversion" is used because it signifies the transition from the old system to the new system.

It involves migrating data, processes, and operations from the existing system to the new system.

This phase ensures that the newly developed system is successfully integrated into the organization and becomes fully operational.

Thus,

Phase 5: The system of implementation is conversion.

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Answer:

3ad3 will be the answer

Step-by-step explanation:

Answer:

3ad3

Step-by-step explanation:

Answer: 13. 30

Step-by-step explanation:

13. Area = 18x * 10y = 180xy

Length = 6th

With ?

180xy = 6xy x width

180 x/6xy

Width = 30

14. 3^(9-5)= 3^4 = 81 the truck weighs 81 times as the driver

3^5

Answer: The number is 1.

Step-by-step explanation:

Let the number be x

5-x = 1+3x

or, 5 = 1+3x+x

or, 5 = 1+4x

or, 5-1 = 4x

or, 4x = 4

or, x = 4/4

so, x = 1

Answer:

2156.7

Step-by-step explanation:

first, after discount is meant now $1659 and 30% up, that way we need to do 1659 x 1.3 it gives us 2156.7

Answer:

\( \sqrt{44} \)

Answer:

44

Step-by-step explanation:

9514 1404 393

Answer:

  5 minutes; 60 gallons

Step-by-step explanation:

The volume in tank A is initially 35 gallons. Its rate of change is 5 gallons per minute. The equation for volume can be written as ...

  y = 35 +5x . . . . . . where y is gallons, and x is minutes

The volume in tank B is initially 100 gallons. Its rate of change is -8 gallons per minute. The equation for volume can be written as ...

  y = 100 -8x

We want to find the values of x and y such that both are the same for both tanks.

  35 +5x = y = 100 -8x

  13x = 65 . . . . . . . . add 8x-65 to both sides of the equation

  x = 5

  y = 100 -8·5 = 60

Both tanks will hold 60 gallons after 5 minutes.

Hi!

I can help you with joy!

In an arithmetic sequence, we add or subtract to get to the next term.

A is an arithmetic sequence.

\(*GentleGirlie*\)

Answer:

7+18=25 that's the answer