PLEASE HELP WILL REWARD BRAINLIEST!

the first three terms in the binomial expansion of (1+3x)^n are 1+kx-x^2, where n and k are constants. n>1/2.
a) work out the value of n and the value of k

The slope of the line that goes through the origin and the point (6, -4) is -2/3.

To find the slope of a line that goes through two given points (x₁, y₁) and (x₂, y₂), you can use the formula:

slope = (y₂ - y₁) / (x₂ - x₁)

In this case, one of the points is the origin, which has coordinates (0, 0), so x₁ = 0 and y₂ = 0. The other point is (6, -4), so x₂ = 6 and y₂ = -4. Substituting these values into the slope formula gives:

slope = (-4 - 0) / (6 - 0) = -4/6 = -2/3

To learn more about slope click on,

https://brainly.com/question/27924340

#SPJ1

The given data set is:

It is required to find the mode.

Recall that the mode is the value in a set of data that has the most occurrences.

Note that the mode is not unique and a data set may have no mode.

The value that has the most occurrences in the set is not unique.

Hence, the data set has no mode score

Answer:

(B) $15

Step-by-step explanation:

Big Video:  y = 2.49x + 9.99

Main Street:  y = 1.79x + 20.49

easiest way to solve would be to graph and find the point of intersection or set 2.49x + 9.99 and 1.79x + 20.49 equal to each other

2.49x + 9.99 = 1.79x + 20.49

subtract 1.79x from each side to get:

.70x + 9.99 = 20.49

subtract 9.99 from each side to get:

.70x = 10.50

divide each side by .70

x = 15

Answer:

B. 15

Step-by-step explanation:

Because i did it on edge

The perimeter of the rectangle created in this problem is given as follows:

20 units.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The points for the rectangle in this problem are given as follows:

(-1, 3), (3,3), (-1, -3) and (3,-3).

Hence the side lengths of the rectangle are given as follows:

Hence the perimeter of the rectangle is given as follows:

P = 2(4 + 6)

P = 20 units.

More can be learned about the perimeter of a polygon at https://brainly.com/question/3310006

#SPJ1

True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

for such more question on Hexadecimal numbers

https://brainly.com/question/28280312

#SPJ8

AS given by the question

There are given that the 2 hours to 45 minutes.

Now

First, convert 2 hours to the minute

So,

For converting hours into minutes, multiply by 60.

So, 2 hours is 120 minutes

Then, the ratio will be:

There are 169 outcomes in the complement of the event "students who are left-handed".

The complement of the event "students who are left-handed" is "students who are not left-handed," which means all students who are right-handed. Therefore, the number of outcomes in the complement is equal to the total number of students minus the number of left-handed students, which is:

344 - 175 = 169

To find the complement of an event, we need to consider all outcomes that are not part of the event. In this case, the event is "students who are left-handed," which means we need to consider all students who are not left-handed. Since there are only two possibilities (left-handed or not left-handed), the complement is simply the opposite of the event. Therefore, we subtract the number of left-handed students from the total number of students to get the number of students who are not left-handed.

For more questions like Probability visit the link below:

https://brainly.com/question/31129670

#SPJ11

Answer:

2y

Step-by-step explanation:

2x-3=2y

2x-2y=3

Answer:

x = 3, y = 1.5

Step-by-step explanation:

Given the 2 equations

x + 2y = 6 → (1)

2x - 3 = 2y → (2)

In (2) subtract 2y from both sides and add 3 to both sides

2x - 2y = 3 → (3)

Adding (1) and (3) term by term will eliminate the y- term

3x = 9 ( divide both sides by 3 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

3 + 2y = 6 ( subtract 3 from both sides )

2y = 3 ( divide both sides by 2 )

y = 1.5

Answer:

The coordinates of A are (1, -4)

Step-by-step explanation:

The formula for finding a midpoint is ((x1 + x2) / 2, (y1 + y2) / 2)

However, in this problem, we're already given the midpoint.  We're trying to find an endpoint.  So, the equation changes into:

((x + 9) / 2 = 4, (y + 0) / 2 = -2)

For the x and y coordinates, multiply both sides by 2

(x + 9 = 8, y = -4)

(x = -1, y = -4)

Rewrite as coordinates.

(-1, -4)

There are 3,628,800 ways in which the student can arrange the songs on their playlist.

The number of ways in which a student can arrange a playlist that contains songs can be calculated using the formula for permutations. A permutation is an arrangement of objects in a specific order, and the formula for calculating the number of permutations is P(n, r) = n!/(n-r)!

where n is the total number of objects and r is the number of objects being arranged in each permutation. In this case, the student is arranging the songs on the playlist, so the number of objects is the number of songs. Let's say the student has 10 songs on their playlist.

They can arrange the songs in any order, so r = 10.Using the formula for permutations: P(10, 10) = 10!/(10-10)! = 10!/0! = 10! = 3,628,800

You can learn more about permutation at: brainly.com/question/30649574

#SPJ11

The statistic that the researcher would be most interested in for determining the average number of times per month respondents eat at fast food restaurants is the mean. The mean represents the average value of a set of data points and is commonly used to measure central tendency.

In this case, the researcher wants to know the average number of times per month respondents eat at fast food restaurants. By calculating the mean, the researcher can obtain a single value that represents the typical or average frequency of eating at fast food restaurants among the respondents. The standard deviation (A) is a measure of the dispersion or variability of the data points around the mean. The proportion (B) is a measure of the relative size or fraction of a subgroup within a larger group. The variance (D) is a measure of the average squared deviation from the mean. While these statistics can provide valuable information, they are not specifically suited to determine the average number of times per month respondents eat at fast food restaurants. Hence, the most relevant statistic in this scenario would be the mean (C).

Learn more about mean here:

https://brainly.com/question/12789483

#SPJ11

Answer:

The constant of proportionality is the ratio between two directly proportional quantities.

Step-by-step explanation:

Answer:

\(\sf \dfrac{17}{25}\)

Step-by-step explanation:

    \(\sf \boxed{\bf Tan \ B=\dfrac{oppoiste \ side \ to \ Tan \ B}{hypotenuse}}\)

         \(\sf tan \ B =\dfrac{17}{25}\)

Answer:

see explanation

Step-by-step explanation:

the equation of a line in gradient- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

given

2x - 3y = 5 ( subtract 2x from both sides )

- 3y = - 2x + 5 ( divide through by - 3 )

y = \(\frac{2}{3}\) x - \(\frac{5}{3}\) ← in gradient- intercept form

with gradient m = \(\frac{2}{3}\)

Determine how the ABC contingency can be altered to promote more positive behavior. (Option (a) is correct one )

The method that intervention development will be influenced by the ABC data that are gathered on the function of the target behavior is through the determination of how the ABC contingency can be changed to encourage more positive behavior.

By identifying the functional reinforcers that sustain problem behavior, practitioners can create therapies that are more effective (i.e., from a smaller pool of potential interventions to choose from) and efficient.

Linking therapies to the outcomes of functional assessments has become accepted clinical practice and is now covered by both federal and state laws. This represents a significant and advantageous change in the method of behavioral intervention.

Therefore,

Determine how the ABC contingency can be altered to promote more positive behavior. (Option (a) is correct one )

To learn more about Positive behavior problems visit :

brainly.com/question/2273571

#SPJ4

We will find the D f of this function. We also know that D f (n) = 1 - e-a N (1 - e-a-2πin/N)*.We need to find the Df of this function. We have f(n) = ne-an Using the definition of D f (n), we get D\(f(n) = f(n + 1) - f(n)\)

Now,\(f(n + 1) = (n + 1)e-a(n+1)\) and, f(n) = ne-an Substituting these values in the above equation. We getD\(f(n) = (n + 1)e-a(n+1) - ne-an= e-an[(n + 1) - n e-a]= e-an[n(1 - e-a) + e-a].\)

We can write this as D\(f(n) = 1 - e-aN (1 - e-a-2πin/N)*\)This is the required Df of the function f: ZN → C. We will now find the value of any N, when \(f(k) = k, we getk - ak2/2! + ... = k\) This implies that ak2/2! = 0for all k = 0, 1, ..., N. This is true for any N. Therefore, we have shown that for any N, when f(k) = k, k = 0, 1, ..., N.

To know more about function visit:

https://brainly.com/question/30721594

#SPJ11

Answer:

2/6 ??

Step-by-step explanation:

Answer:

  (250, 150)

Step-by-step explanation:

The acreage cannot be negative, so choices A and C are eliminated. The sum of acreages cannot exceed 400, so choice D is eliminated.

Choice B has the allotted acreages total exactly 400, which is within the farmer's limit.

  (250, 150) is a viable solution

Using function concepts, it is found that the correct option is given by:

D. The function is negative when x<0

In this problem, the graph of the function is the red line, and:

Thus, option D is correct.

You can learn more about functions at https://brainly.com/question/25897115

To create a stemplot, we first need to separate the data into "stems" and "leaves." Each stem represents the first digit(s) of each data point, while each leaf represents the last digit(s). For example, if the data point is 12.3, the stem would be 12 and the leaf would be 3.

To make a stemplot, the data should be arranged in increasing order, and then separated into stems and leaves.

However, you can use the data given and arrange it in increasing order and separate it into stems and leaves to make a stemplot. A stemplot is a good way to check if the data follow a normal distribution quite closely, the more the data is spread out and the more symmetric it is, the more likely it is to follow a normal distribution.

Also, it is important to mention that from the given data, it is not possible to conclude if the percent change in this population has standard deviation of 2.5%. This parameter can only be estimated from a sample if it follows a normal distribution which is not clear from the given data.

Learn more about Stemplot here:

https://brainly.com/question/29174445

#SPJ4

The quantity of bread that Debbie uses each week on the average is = 54 loaves of bread

The number of days the restaurant opens per week = 6 days.

The number of bread she uses everyday is = 9 loaves.

Therefore, the quantity of bread that Debbie uses each week on the average is = 6×9 = 54 loaves of bread.

Learn more about multiplication here:

https://brainly.com/question/4721701

#SPJ1

The equation can be summarized as; p = $50 + 3($100 ). Hence William was paid $350.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

Let p represents the paycheck.

William  paid her parents $50 for rent. After paying the rent he evenly divided the rest of the amount into three parts.

He puts $ 100 into her savings account. It means that he also puts $100 into checking account and $ 100 into retirement fund

If we put the parts together, the equation we get is;

p = $50 +$100 +$100 +$100

The equation can be summarized as;

p = $50 + 3($100 )

Now we can easily find how much was William  paid;

p = $50 + 3($100)

p = $50 +$300

p = $350

Hence William was paid $350.

Learn more about linear equations;

https://brainly.com/question/10413253

#SPJ4

Answer:

y_1=9(x_8)

y_1=9x_72

9x_y=71

9x_y_71=0

The answer is (a) $10,000.

The total cost of producing 200 units of output can be found by multiplying the output (200 units) by the average total cost (ATC) per unit, which is given as $50. Therefore, the total cost is:

Total Cost = Output x ATC

Total Cost = 200 x $50

Total Cost = $10,000

Therefore, the answer is (a) $10,000.

Learn more about average

brainly.com/question/24057012

#SPJ11

Answer:

  b- one diagonal

Step-by-step explanation:

Given parallelogram ABCD, you want to know what additional segments or points will you need in order to prove the opposite sides are congruent.

The opposite sides of a parallelogram are parallel, so one diagonal is sufficient to allow you to declare pairs of congruent angles using the alternate interior angles theorem.

These let you say the two triangles created are congruent to each other, making opposite sides the same length by CPCTC.

Answer:

B - one diagonal

Step-by-step explanation:

The rate of increase in Bruce's hourly wage is 20%.

To calculate the rate of increase in Bruce's hourly wage, we can use the formula:

Rate of increase = (New value - Old value) / Old value * 100%

Substituting the given values, we have:

Rate of increase = ($18.60 - $15.50) / $15.50 * 100%

= $3.10 / $15.50 * 100%

= 0.20 * 100%

= 20%

Therefore, the rate of increase in Bruce's hourly wage is 20%, indicating that his wage increased by 20% from $15.50 to $18.60.

Learn more about rate of increase here:

https://brainly.com/question/31103012

#SPJ11

Answer:

A real number is a number that can take any value on the number line. They can be any of the rational and irrational numbers. Rational number is a number that can be expressed in the form of a fraction but with a non-zero denominator.

The distance between the trees is 48 cm.

To determine the distance between the trees, we need to consider the lengths of the footsteps and the dad. Let's assume that the person takes one step with each foot, resulting in a total stride length equal to the sum of the lengths of both footsteps.

Given:

Length of each footstep = 60 cm

Length of the dad = 72 cm

The total stride length would be:

Total stride length = 2 * length of each footstep

= 2 * 60 cm

= 120 cm

To calculate the distance between the trees, we subtract the length of the dad from the total stride length:

Distance between the trees = Total stride length - Length of the dad

= 120 cm - 72 cm

= 48 cm

Therefore, the distance between the trees is 48 cm.

To know more about distance:

https://brainly.com/question/32043377

#SPJ4

Answer:

60000

Step-by-step explanation:

Answer:

60,000

Step-by-step explanation:

2 times 30,000 is 60,000