a line passes through the point (-6,4) and has a slope of 5/2

Option A, B and C lines on the drawing would be greater than 12 meters in real life.

A scale drawing is an object that has been enlarged.

By multiplying each length by a scale factor, an expansion alters the size of an object, making it larger or smaller.

A ratio is typically used to describe a drawing's scale.

4cm = 6 meters

so, 1 cm = 6/4 mt = 1.5mt

a) 6cm = 6×1.5 mt = 9mt

b) 10 cm = 10×1.5 mt = 15mt

c) 12 cm = 12×1.5mt = 18mt

d) 16 cm = 16×1.5mt = 24mt

Option A, B and C lines on the drawing would be greater than 12 meters in real life.

To know more about scale drawing visit:-

https://brainly.com/question/17388747

#SPJ4

Answer:

Step-by-step explanation:

Given :

l + m + n = 9

l²+ m² + n²= 31

l + m + n = 9

On squaring both sides

(l + m + n)²= 9²

(l²+m²+n²+2(lm+mn+nl) = 81

31 +2(lm+mn+nl) = 81

2(lm+mn+nl) = 81 - 31

2(lm+mn+nl) = 50

(lm+mn+nl) = 50/2

(lm+mn+nl) = 25

Hence, the value of (lm+mn+nl) = 25

Answer:

YOU GOT GOOGLE

Step-by-step explanation:

GOOGLE!!

Answer:

try B if wrong sorry

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Answer:

look at the picture i have sent

In linear programming, solutions that satisfy all of the constraints simultaneously are referred to as feasible solutions. These feasible solutions represent all the possible combinations of values for the decision variables that satisfy the constraints of the problem.

The main objective of linear programming is to find the optimal feasible solution that maximizes or minimizes a given objective function. The objective function represents the goal that needs to be achieved, such as maximizing profit, minimizing cost, or maximizing efficiency.

To find the optimal feasible solution, a linear programming algorithm is used to analyze all the possible combinations of decision variables and evaluate their objective function values. The algorithm starts by identifying the feasible region, which is the area that satisfies all the constraints.

Then, the algorithm evaluates the objective function at each vertex or corner of the feasible region to find the optimal feasible solution. The optimal feasible solution is the one that provides the best objective function value among all the feasible solutions.

Therefore, In linear programming, solutions that satisfy all of the constraints simultaneously are referred to as: linear programming

In summary, linear programming involves finding feasible solutions that satisfy all the constraints of the problem, and then selecting the optimal feasible solution that provides the best objective function value.

learn more about linear programming here: brainly.com/question/29997614

#SPJ11

Answer:

1 Angle A is 44, 2 angle A is 20.

~~~~~~~~~~~~~~~~~~~~~~~~~~~

The Equation for 1 is x + 45 + 82 + x + 65 = 180 x = -1 A = 44 Degrees

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The Equation for 2 is x + 21 + 130 + x + 31 = 180  x = -1  Angle A = 20 Degree

~~~~~~~~

Bye have a nice day :)

To apply Green's theorem to evaluate the line integral ∮(6y dx + (y^4x) dy), we need to find the curl of the vector field F = (6y, y^4x).

The curl of F is given by:

∇ × F = (∂F₂/∂x - ∂F₁/∂y)

Calculating the partial derivatives:

∂F₁/∂y = 0

∂F₂/∂x = 4y^3

Therefore, the curl of F is:

∇ × F = (4y^3)

Now, we can rewrite the line integral in terms of the curl:

∮(6y dx + (y^4x) dy) = ∬(∇ × F) · dA

To evaluate the double integral, we need to find the region of integration. However, the given expression is missing information about the region or the boundary curve. Without this information, we cannot proceed further with the evaluation of the line integral using Green's theorem.

If you provide additional details about the region or the boundary curve, I will be able to assist you further in applying Green's theorem.

To know more about curve visit:

brainly.com/question/31154149

#SPJ11

Answer:

The first line m1 should be = the second line m2 passing through point C.

so in short m1=m2...

No, this would not result in an unbiased sample because it only includes the students you happen to meet, which could introduce sampling bias.

It is possible that you would be more likely to encounter certain types of students.

Such as those who are more outgoing or those who are on campus more frequently, which could skew the results.

To obtain an unbiased sample, you would need to use a more systematic and representative sampling method.

Such as selecting a random sample of students from the school's records and asking them about their age.

Using an online survey to collect age data from all students enrolled in both traditional and online courses.

It's probable that you'd run into specific student types more frequently.

For instance, those who are more talkative or those who attend campus more regularly, which can distort the results.

You would need to employ a more methodical and representative sampling technique in order to achieve an impartial sample.

Using a random sample of kids and asking them about their ages from the student database at the school.

collecting age information from all students enrolled in both traditional and online courses using an online survey.

For similar questions on Sample

https://brainly.com/question/24466382

#SPJ11

Answer:

3654

Step-by-step explanation:

\(8246-4592=3654\)

The conditional proportions of people using their phones in the afternoon and the evening can be summarized as follows: A significant proportion of individuals use their phones both in the afternoon and evening, indicating a consistent pattern of phone usage throughout the day.

In the afternoon, many people rely on their phones for various purposes such as work, communication, entertainment, and staying connected to social media. With the advancements in technology and increased accessibility to smartphones, it has become common for individuals to utilize their phones during this time. Whether it's checking emails, browsing the internet, or engaging in social media activities, the afternoon serves as a convenient time for phone usage.

Moving on to the evening, phone usage remains prevalent as individuals unwind and engage in leisure activities. During this time, people often use their phones for entertainment purposes, such as streaming videos, playing games, or engaging in social interactions through messaging apps or social media platforms. The evening also offers a time for catching up on news, reading, or engaging in personal hobbies, which may involve the use of mobile devices.

Overall, the conditional proportions reveal that phone usage is not limited to a specific time of day but rather extends throughout the afternoon and evening. This emphasizes the significant role that smartphones play in our daily lives, providing us with a range of functionalities and opportunities for connectivity and entertainment.

To know more about phone usage patterns: brainly.com/question/30408720

#SPJ11

Answer:

Here you go. I used DESMOS

Step-by-step explanation:

Hope this Helped and you can see the picture clearly

Answer:

x = 12

Step-by-step explanation:

5(x-4) = 3x+4

5x-4*5 = 3x+4

5x-20 = 3x+4

5x-3x = 4+20

2x = 24

x = 24/2

x = 12

Answer:

E' is (4, 6)

F' is (5, 4)

Step-by-step explanation:

To translate an object is to move it exactly as it is to another place on the graph.  Therefore, E' is (4, 6) and F' is (5, 4).

Answer:20

Step-by-step explanation:20+20=40+20=60-40=20

Answer:

Step-by-step explanation:

Aaahhhhh!!! Ja haw has b ha HA n zzz's

The coordinate of the y-intercept of the given quadratic graph is: (0, -3)

The general form of the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

The general form of quadratic equations is expressed as:

y = ax² + bx + c

Now, from the term y-intercept, we know that it is the point where the graph crosses the y-axis and as such, we have the coordinate from the graph as:

(0, -3)

Read more about y-intercept at: https://brainly.com/question/26249361

#SPJ1

The correct sampling method described in the question is a stratified random sample among the simple random sample,  stratified random sample, cluster random sample and  Voluntary random sample

The sampling method described in the question is a stratified random sample.

In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.

In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.

Other sampling methods mentioned in the question are:

Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.

Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.

Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.

Therefore, the correct sampling method described in the question is a stratified random sample.

Learn more about sampling methods here:

https://brainly.com/question/15604044

#SPJ4

If firm issues​ commercial paper with $1000000 face-value and pays EAR of​ 7.4%, then amount the firm will receive is $981500.

To calculate the amount the firm receives from issuing the three-month commercial paper, we need to determine the total interest earned over the three-month period.

The Effective Annual Rate (EAR) of 7.4% indicates the annualized interest rate. Since the commercial paper has 3-month term, we adjust the EAR to account for the shorter period.

To find the quarterly interest rate, we divide the EAR by the number of compounding periods in a year. In this case, since it is a 3-month period, there are 4-compounding periods in a year (quarterly compounding).

Quarterly interest rate = (EAR)/(number of compounding periods)

= 7.4%/4

= 1.85%,

Now, we calculate interest earned on "face-value" of $1,000,000 over 3-months,

Interest earned = (face value) × (quarterly interest rate)

= $1,000,000 × 1.85% = $18,500,

So, amount firm receives from issuing 3-month commercial paper is the face value minus the interest earned:

Amount received = (face value) - (interest earned)

= $1,000,000 - $18,500

= $981,500.

Therefore, the amount that firms receives is $981500.

Learn more about EAR here

https://brainly.com/question/32531122

#SPJ4

Answer:

Step-by-step explanation:

(9a⁴b⁷) x (6a³b⁸)

(9 x 6) x (a⁴ x a³) x (b⁷ x b⁸)

54 x a⁷ x b¹⁵ = 54a⁷b¹⁵

Answer:

(9a⁴b⁷).(6a³b⁸)

=54a⁷b¹⁵

Answer:

0.635 in

Step-by-step explanation:

Divided 2.54 by 4

The dimensions of the box that maximize the volume are x = √700 and h = 100 / √700.

To find the largest possible volume of the box, we need to optimize the dimensions of the box. Let's denote the length of each side of the square base as x and the height of the box as h.

The surface area of the box consists of the area of the square base (x^2) and the four sides of the box (4xh). Since the box has an open top, we do not consider the top surface. The total surface area is given as 2100 square centimeters, so we have:

x^2 + 4xh = 2100

To maximize the volume, we need to express the volume of the box (V) in terms of a single variable. The volume of a rectangular prism is given by V = x^2h.

We can rewrite the equation for the surface area to solve for h:

h = (2100 - x^2) / (4x)

Now we can substitute this expression for h in the volume equation:

V = x^2 * [(2100 - x^2) / (4x)]

Simplifying, we have:

V = (1/4) * (2100x - x^3)

To find the maximum volume, we need to find the critical points of this function. We take the derivative of V with respect to x and set it equal to zero:

dV/dx = 2100/4 - (3/4)x^2 = 0

Solving this equation, we find:

2100/4 = (3/4)x^2

x^2 = 700

x = √700

Substituting this value back into the equation for h, we find:

h = (2100 - 700) / (4 * √700) = 1400 / (4 * √700) = 100 / √700

Therefore, the largest possible volume of the box is:

V = (1/4) * (2100 * √700 - 700 * √700) = 350√700 cubic centimeters.

Know more about volume here;

https://brainly.com/question/1578538

#SPJ11

Answer:

b = x - y

Step-by-step explanation:

Given the expression x - y = b

We are to rewrite the value of b;

We can simply do this by swapping both sides that are putting b at the Left hand side and x - y at the right as shown

b = x - y

Hence the correct expression will be b = x - y

Answer:

$1960.95

$56.88 is paid every month for 8 years

Answer:

$5165.87

Step-by-step explanation:

Total loan payment at the end of 8 years is

= $3500 * (1 + 12%)^8

= $3500 * 1.12^8

= $8665.87

Total interest payment is

= Total payment - Principal

= $8665.87 - $3500

= $5165.87

Answer:

\(y = 6x + 9\)

Step-by-step explanation:

\( - 3 = 6( - 2) + b\)

\( - 3 = - 12 + b\)

\(b = 9\)

\(y = 6x + 9\)

Answer:

2 11/12

Step-by-step explanation:

(1/3)×(35/4=35/12=2 11/12 yards

The prime factorization of 200 using exponential notation is \(2^3 *5^2\) that is correct option is (b)

First, we decompose the number given on statement by applying prime numbers in ascending order. We see that 200 is an even number, therefore, we infer that smallest prime number within is 2.

1) \(200\div2=100\) (Even number)

2)  \(100\div2=50\)(Even number)

3)  \(50\div2=25\)(Even number)

4)  \(25\div5=5\)(Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)

5)  \(5\div5=1\)(Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)

Now, we construct the prime factorization using exponential notation:

\(200=2^3\cdot5^2\)

The prime factorization of 200 using exponential notation is \(2^3\cdot5^2\) that is option (b)

Learn more about Prime factorization here https://brainly.com/question/22600263

# SPJ4

The prime factorization of 200 using exponential notation is 2^3*5^2  that is correct option is (b)

First, we decompose the number given on statement by applying prime numbers in ascending order. We see that 200 is an even number, therefore, we infer that smallest prime number within is 2.

1)  200/2=100 (Even number)

2) 100/2=50  (Even number)

3)50/2=25  (Even number)

4) 25/5=5 (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)

5) 5/5=1 (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)

Now, we construct the prime factorization using exponential notation:

200=2^3*5^2

The prime factorization of 200 using exponential notation is 2^3*5^2  that is option (b)

Learn more about Prime factorization here: brainly.com/question/22600263

# SPJ4

The threshold price F * for insurance is F * = c1c2. If F >F *, it would not be rational for Nick to purchase insurance. If F < F *, it would be rational for Nick to purchase insurance as it provides a net benefit.

To find the threshold price F *  for insurance where Nick is indifferent over buying insurance, we need to determine the point at which Nick's expected utility is the same whether he purchases insurance or not.

Let's consider the two scenarios:

1. No insurance purchased (F' = 0):
In this case, if Nick consumes c1 chocolate bars in period 1 and c2 chocolate bars in period 2, his utility function becomes U(c1;c2;0) = c1c2.

2. Insurance purchased (F' = F):
If Nick purchases insurance by paying F upfront, his utility function becomes U(c1;c2;F) = c1c2 - F.

Now, let's find the threshold price F * by comparing the expected utilities for both scenarios:

1. No insurance:
The expected utility without insurance is the utility multiplied by the probability of not having his chocolate stolen (1 - 0.25 = 0.75):
E(U(c1;c2;0)) = 0.75 * (c1c2)

2. Insurance:
The expected utility with insurance is the utility multiplied by the probability of not having his chocolate stolen, minus the cost of insurance (F), multiplied by the probability of having his chocolate stolen (0.25):
E(U(c1;c2;F)) = 0.75 * (c1c2) + 0.25 * (c1c2 - F)

To find the threshold price F *, we set the expected utilities equal to each other and solve for F:
0.75 * (c1c2) = 0.75 * (c1c2) + 0.25 * (c1c2 - F)

By simplifying the equation, we get:
0 = 0.25 * (c1c2 - F)

Solving for F gives us:
F = c1c2

Therefore, the threshold price F * for insurance is F * = c1c2.

Now let's consider the scenarios when F > F * and F < F *:

- F > F *:
If the price of insurance (F) is greater than the threshold price (F *), it means that the cost of insurance is higher than the expected loss from chocolate being stolen. In this case, it would not be rational for Nick to purchase insurance because he would be paying more than the potential loss.

- F < F *:
If the price of insurance (F) is less than the threshold price (F *), it means that the cost of insurance is lower than the expected loss from chocolate being stolen. In this case, it would be rational for Nick to purchase insurance as it provides a net benefit by reducing the potential loss.

In summary, the threshold price F * for insurance is F * = c1c2. If F > F *, it would not be rational for Nick to purchase insurance. If F < F *, it would be rational for Nick to purchase insurance as it provides a net benefit.

Know more about threshold here:

https://brainly.com/question/31116380

#SPJ11