If f(x+3)=x^2+kx-21 what is the value of k

Answer:

2/3 and 10/15 1/6 and 3/18

Step-by-step explanation:

to determine which fractions are equivalent, we multiply each fraction by 100

4/ 5 x 100 = 80

8/12 x 100 = 66.67

4/5 and 8/12 are not equivalent

2/3 x 100 = 66.7

10/15 x 100 = 66.7

2/3 and 10/15 are equivalent

If 10/15 is expressed in its simplest form. that is if both numerator and denominator are divided by 5, it would equal 2/3

1/6 x 100 = 16.7

3/18 x 100 = 16.7

1/6 and 3/18 are equivalent

If 3/18 is expressed in its simplest form. that is if both numerator and denominator are divided by 3, it would equal 1/6

2/7 x 100 = 28.6

6/20 x 100 = 30

2/7 and 6/20 are not equivalent

Organizational culture is defined as the common beliefs, values, attitudes, customs, behaviors, and traditions that characterize a specific organization and determine the manner in which it functions. Organizational culture is set by the manager.

In a corporate or business environment, organizational culture can influence the daily operations of employees. It is the responsibility of managers to create a positive culture that emphasizes teamwork, respect, integrity, and accountability. The manager is an essential individual responsible for establishing and maintaining the organization's culture, which will ultimately define the employee's attitudes, behaviors, and productivity levels. He or she sets the tone for the workplace by creating an environment that fosters collaboration, innovation, and success. Employees need to feel connected to their workplace and colleagues to be motivated to do their best work. If a manager promotes a culture of fear, competition, or dishonesty, employees may become unmotivated or unproductive. An effective manager understands the importance of creating a positive workplace culture and works hard to establish and maintain it. Managers can establish a positive culture by encouraging open communication, providing regular feedback and recognition, fostering a sense of teamwork, creating opportunities for professional development, and setting high standards for performance. Managers must lead by example and demonstrate the behaviors and attitudes that they expect from their employees. They must hold themselves and others accountable for their actions, communicate expectations clearly, and provide support when needed. A positive organizational culture will enable an organization to attract and retain top talent, increase employee engagement, and promote collaboration and innovation.

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Answer:

x = 3; y = -1

Step-by-step explanation:

2x - 3y = 9

x = 4 + y

Since the second equation is already solved for x, use the substitution method. Substitute 4 + y for x in the first equation and solve for y.

2x - 3y = 9

2(4 + y) - 3y = 9

8 + 2y - 3y = 9

-y = 1

y = -1

Now substitute -1 for y in the second original equation, and solve for x.

x = 4 + y

x = 4 + (-1)

x = 3

Answer: x = 3; y = -1

Answer:

I belive the answer will be 28,350

The binomial test is used to test the hypothesis HH0: p = p0 in a binomial distribution.

In the binomial test, we calculate the probability of observing the given data or more extreme data, assuming that the null hypothesis is true. If this probability, known as the p-value, is small (usually less than 0.05), we reject the null hypothesis in favor of the alternative hypothesis.

To perform the binomial test, we can follow these steps:

1. Define the null hypothesis HH0: p = p0 and the alternative hypothesis HA: p ≠ p0 or HA: p > p0 or HA: p < p0, depending on the research question.

2. Calculate the test statistic using the formula:
  test statistic = (observed number of successes - expected number of successes) / sqrt(n * p0 * (1 - p0))

3. Determine the critical value or p-value based on the type of test (two-tailed, one-tailed greater, one-tailed less) and the significance level chosen.

4. Compare the test statistic to the critical value or p-value. If the test statistic falls in the rejection region (critical value is exceeded or p-value is less than the chosen significance level), reject the null hypothesis. Otherwise, fail to reject the null hypothesis.

Remember, the binomial test assumes independence of the binomial trials and a fixed number of trials.

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Answer:

24/45 or 9/15

Step-by-step explanation:

none of these is equivalent to 6:10

Answer:

Step-by-step explanation:

Answer:

46 degrees

Step-by-step explanation:

The equation of the line r is y = ₋(10/9)x ₊ 7.

Given, parallel lines have the same slope. Solve for the slope in the first line by converting the equation to slope intercept form

equation of line q is y = ₋10/9x ₊ 2

it's already in slope intercept form.

hence slope is:

m = (₋10/9) from the above the equation.

we know that the second line will also have a slope of ₋10/9 and we are given the point (9 , ₋3). We can setup an equation in slope intercept form and use these values to solve for the y inetrcept.

y = mx ₊ b

₋3 = ₋10/9 (9) ₊ b

₋3 = ₋10 ₊ b

b = 7

plug the y intercept back into the equation to get our final answer.

y = ₋(10/9)x ₊ 7

hence  we get the equation of the line r as y = ₋(10/9)x ₊ 7.

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Answer:

A figure or shape that can be divided into more than one of the basic figures, which is said to be a composite figure.

Step-by-step explanation:

The elevator has an acceleration and deceleration of magnitude 1.0 m/s^2, so it takes (5 m/s) / (1 m/s^2) = 5 seconds to reach its maximum speed of 5 m/s.

To come to a stop from this maximum speed, it will also take 5 seconds.

The time it takes for the elevator to travel the entire distance of 200 m is given by:

t = 5 s + 5 s + d / v

where d is the distance traveled at constant speed and v is the constant speed.

We know that the total time is equal to t = 10 s + d / 5 m/s.

Thus, d = (10 s - 5 s) * 5 m/s = 25 m.

So the elevator spends 5 seconds accelerating, 5 seconds decelerating, and 10 - 5 = 5 seconds at constant speed.

Answer:

n < 3

Step-by-step explanation:

\(6n + 10 < 4n + 16\)

\(2n + 10 < 16\)

\(2n < 6\)

\(n < 3\)

\( {3}^{2} \times {3}^{4} \times {3}^{6} \)

\( = {3}^{2 + 4 + 6} \)

\( = {3}^{2 + 10} \)

\( = {3}^{12} \)

Answer:

what am I supposed to answer

Step-by-step explanation:

Answer:

Rm243

Step-by-step explanation:

Rm4500 × 0.018 × 3

=Rm243

Please mark as brainliest;)

Answer:

243

Step-by-step explanation:

(4500*1.8*3)/100

=243

Answer:

Step-by-step explanation:

dtuyhgtrfedfgrthyuj

Answer:

3. y = 0.5(1.075)ˣ

1. y = 200(1.8)ˣ

2. y = 10(0.95)ˣ

Explanation:

The exponential function has the following form

y = a(1 + r)ˣ

Where r is the rate of growth or decay.

If r is positive, it is a rate of growth

If r is negative, it is a rate of decay

For each option, we can write the equation as

y = 0.5(1.075)ˣ

y = 0.5(1 + 0.075)ˣ

Since 0.075 = 7.5% and it is positive, this equation have a rate of growth equal 7.5%

y = 200(1.8)ˣ

y = 200(1 + 0.8)ˣ

Since 0.8 = 80% and it is positive, this equation have a rate of growth equal to 80%

y = 10(0.95)ˣ

y = 10(1 - 0.05)ˣ

Since -0.05 = -5% and it is negative, this equation have a rate of decay equal to 5%

Therefore, the answers are:

3. y = 0.5(1.075)ˣ

1. y = 200(1.8)ˣ

2. y = 10(0.95)ˣ

To find the equivalent we can use linear equation in one variable .the value of p is 2.

An algebraic equation of the form axe + b = c, where x denotes the variable, a, b, and c are constants, and an is not equal to zero, is known as a linear equation in one variable.

Equivalent means having the same value, function, meaning, or effect. In other words, two things are equivalent if they are equal or interchangeable in some way.

I assume that the second expression is supposed to be (n+p)•1/2, since the expression as written is incomplete.

To find the value of p that makes the two expressions equivalent, we can set them equal to each other and solve for p:

1/2(n+2) = (n+p)•1/2

Multiplying both sides by 2:

n+2 = n+p

Subtracting n from both sides:

2 = p

Therefore, the value of p that makes the two expressions equivalent is 2.

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Answer:

The time to hit the target is simply the period the arrow gets to the target from the arch.

The time to hit the target is 0.35 seconds

In order to rewrite these values in the standard form, let's calculate the product with the power of 10 from each number.

For the length, we have:

For the thickness, we have:

The recursive formula will be :

\(P_{n} = P_{o} + 40*n\)

Given,

The sequence is given by:

\(P_{n} = 60 + n40\)

Using the above sequence expression we  will find the value of required n.

n is an integer which can attain any real value like: 1,2 ,3 ,4,5 .. and corresponding to that value according to recursive rule population can be found out ,

Let n = 10

\(P_{n} = 60 + (10)40\)

\(P_{10} = 460\)

Recursive rule that we have :

P = \(P^{n-1}\)+ 40

Then, using that recursive relation, we will have:

\(P_{1} = P_{o} + 40\\ P_{1} = 60+ 40 = 100\\ P_{2} = P_{1} + 40\\ P_{2} = 140\)

Therefore the general explicit formula will be :

\(P_{n} = P_{o} + 40*n\)

From this we can get the value of population corresponding to the given value of n .

Let n = 10

\(P_{10} = P_{o} + 40*10\)

\(P_{0} = 60\) (Given)

\(P_{10} = 60 + 40*10\)

\(P_{10} = 500\)

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The experimental probability that fewer than two of the next three spins land on reward A is 1/6

Here is the fundamental probability formula: The number of possible outcomes divided by the number of ways an event could occur is the probability of that item happening. Let's examine how to get the data you require and determine the probability of an event.

In theory, there is a 25% chance that the spinner will land on reward A.

\(P(A) =\frac{The Number Of Ways Event A Can Occur}{The total number Of Possible Outcomes}\)

\(P(A)=\frac{1}{6}\)

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability.

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The missing parts for both triangles to be congruent are:

1. AE ≅ BD.

2. ∠CAB ≅ FED.

3. ∠BA ≅ DA.

Two triangles can be proven to be congruent by the following criteria:

Therefore, the following are the missing parts in the pair of triangles:

1. The missing parts that weren't shown for both triangles to be congruent by SAS is: AE ≅ BD.

2.  The missing parts that weren't shown for both triangles to be congruent by ASA is: ∠CAB ≅ FED.

3. The missing parts that weren't shown for both triangles to be congruent by SSS is: ∠BA ≅ DA.

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Answer:

type 2 in the first box,

13/4 in the second box, and

-9/8 in the third one

Step-by-step explanation:Notice that you are asked to write the following quadratic expression in vertex form, so you need to find the "x" value of the vertex, and then the "y" value of the vertex:

\(x_{vertex}= -b/2a\)

Which in our case is: -13/4

and the value of the y for the vertex is obtained using the functional expression when x equals -13/4:

\(f(-13/4)= -9/8\)

Then your expression for this quadratic should be:

\(f(x)=2\,(x+\frac{13}{4} )^2+(-\frac{9}{8})\)

Then type 2 in the first box, 13/4 in the second box, and -9/8 in the third one

the number of possible call letters of a radio station (8 letters long) if the first letter must be a W or a K and no letter is repeated is 4, 845, 456, 0000 call letter

From the given information, we need to find the number which is

First letter have only two possibility.

But we know that there are a total of 26 letters in alphabet.

First letter must be W or K. So remaining 25 letters.

The Remaining 7 letters can be any alphabet (25 letters)

We also know that np letters are repeated.

So, the  second letters have 25 possibility and the third letter have 24 possibility and so one;

Thus, we have

= 2 × 25 × 24 × 23 × 22 × 21 × 20 × 19

Multiply through

= 4, 845, 456, 0000 call letter

Thus, the number of possible call letters of a radio station (8 letters long) if the first letter must be a W or a K and no letter is repeated is 4, 845, 456, 0000 call letter

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Total cost function is C=42000+21t

Revenue function is R=45t

Profit function is P=24t-42000

The breakeven number of hours is 1,750

What is the total variable cost per hour of operating the truck?

The total variable cost per hour of operating shingle delivery truck is the sum of the hourly fuel and maintenance cost and the hourly rate of the operator

total variable cost per hour=$9.50+$11.50

total variable cost per hour=$21.00

The liner equation  formula for total cost is as shown below:

y=a+bx

y=total cost=C

a=fixed cost=cost of truck=42000

b=total variable cost per hour=21

x=number of hours the truck is operated=t

C=42000+21t

The total revenue is the customer charge per hour multiplied by number of hours

R=45t

P=R-C

P=45t-(42000+21t)

P=24t-42000

The breakeven number of hours is achieved at the point where the total cost is the same as revenue

45t=42000+21t

45t-21t=42000

24t=42000

t=42000/24

t=1,750 hours

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Answer:

r = 1/11

Step-by-step explanation:

16r-2r = -3r+6r+1

14r = 3r+1 (combine like terms)

11r = 1

r = 1/11