An object moving vertically is at the given heights at the specified times. Find the position equation s = 1/2 at^2 + v0t + s0 for the object.


At t = 1 second, s = 136 feet


At t = 2 seconds, s = 104 feet


At t = 3 seconds, s = 40 feet

Answer:

115

Step-by-step explanation:

In the new highly competitive business environment, the planning function is crucial for delivering strategic value and meeting stakeholder needs.

In today's highly competitive business landscape, effective planning plays a pivotal role in achieving organizational success. The planning function is described as delivering strategic value because it involves creating a roadmap that aligns with the overall business strategy. Through strategic planning, organizations can identify opportunities, set goals, and allocate resources to achieve long-term objectives. This process enables businesses to stay ahead of the competition, adapt to market changes, and make informed decisions that drive growth and sustainability.

Furthermore, planning is also instrumental in meeting stakeholder needs. Stakeholders, including customers, employees, investors, and communities, have varying interests and expectations from a business. By engaging in thorough planning, companies can analyze and understand these needs, and develop strategies to address them effectively. This can involve market research, customer segmentation, product development, and ensuring operational efficiency. By meeting stakeholder needs, businesses can enhance customer satisfaction, attract and retain talented employees, build investor confidence, and contribute positively to the community.

While delivering strategic value and meeting stakeholder needs are primary objectives of the planning function, they also contribute to increasing profitability. Effective planning allows organizations to identify growth opportunities, optimize resource allocation, streamline processes, and minimize risks. By aligning strategies with market demands and customer preferences, businesses can enhance their competitive advantage and generate higher revenues. Additionally, planning helps control costs, improve efficiency, and optimize operations, leading to improved profitability and financial performance.

Lastly, the planning function involves accepting responsibility for outcomes. A well-executed plan requires accountability for the results it produces. By monitoring progress, evaluating outcomes, and making necessary adjustments, organizations can take ownership of their actions and outcomes. This responsibility cultivates a culture of continuous improvement, where learning from both successes and failures drives organizational growth and adaptability.

In conclusion, the planning function in the new highly competitive business environment encompasses delivering strategic value, meeting stakeholder needs, increasing profitability, and accepting responsibility for outcomes. By embracing these aspects of planning, organizations can navigate the challenges of the modern business landscape and position themselves for long-term success.

Learn more about planning function here:

https://brainly.com/question/12224299

#SPJ11

Answer:

32

Step-by-step explanation:

because 64 divided by 2 is 32

Answer:

\( {(x - 3) + (y - 5)}^{2} = 64\)

The center is (3, 5), and the radius is 8.

Answer:

The answer is that the ball was in the air for 0.56 seconds when it was 54 feet above the ground. This was determined by using the Quadratic Formula to solve the equation 54 = -16s^2 + 96s for the variable s.

Step-by-step explanation:

To solve this equation, we can use the Quadratic Formula, which states that for a quadratic equation in the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

In this case, a = -16, b = 96, and c = -54. Plugging these values into the Quadratic Formula, we get:

s = (-96 +/- sqrt(96^2 - 4 * -16 * -54)) / (2 * -16)

= (96 +/- sqrt(9216 + 4352)) / -32

= (96 +/- sqrt(13,568)) / -32

Since we want the time (in seconds) that the ball was in the air, we need to find the positive solution to this equation. Thus, we have:

s = (96 + sqrt(13,568)) / -32

= (96 + 120) / -32

= 0.5625 seconds

Rounding this value to the nearest hundredth of a second, we get 0.56 seconds. This means that the ball was in the air for 0.56 seconds when it was 54 feet above the ground.

To solve this equation, we used the Quadratic Formula. This method allowed us to find the time (in seconds) that the ball was in the air by solving for the value of the variable s in the given equation. This helped Vue answer his question by providing a numerical value for the amount of time that the ball was in the air when it was 54 feet above the ground.

Answer:

5. 37.065 square centimeters

6. 241 square centimeters

Step-by-step explanation:

5. First, separate the figure into shapes you can find the areas of. This first figure can be represented by two rectangles and one quarter circle.

The two rectangles can be found using a = bh, or 5x3! Both of the rectangles' areas are equal to 30cm.

The circle's area can be found using a = pi(r^2). r stands for radius, which can be represented by 3cm. The area of a whole circle with a radius of 3 is 28.26 cm. Because it is a quarter circle, however, we can divide this value by four to get an area of 7.065cm.

If you add them all together, you get an area of 37.065.

6. First, separate the figure into shapes you recognize. This one can be separated into one triangle and one rhombus.

You can find the area of the triangle using the formula: a = 1/2bh. This gets you an area of 88cm.

The rhombus can be found using the formula: a = 1/2(b1+b2)h. Essentially, you find the average of the two bases and multiply it by the height! This gets you an area of 153cm.

Now, simply add the two areas together and you get an area of 241cm!

We want to find the domain for the given function.

We will get that the domain is continuous and is something like:

D: [0, ∞)

We have the function:

f(d) = 800*d

Where d represents the day of the flow and f is the distance from the source of the lava flow.

We want to find the domain of this function, remember that the domain is the set of inputs that we can use on the function. In this case, is the number of days.

So knowing that the lava flows at a constant rate (is not like for the whole day 1 it advanced 800 meters, and as soon as day 2 arrives it moves another 800 meters) then we can assume that the domain is continuous.

This means that f(1.5) would represent the distance from the source after one day and a half.

We also can try to find an interval where the domain lies.

The minimum of the domain is d = 0, we can't have negative values for the domain as those do not make sense in the situation.

Sadly, we can't get a maximum for the domain (we don't know when the lava will stop flowing) then we can say that the domain is something like:

D: [0, ∞)

If you want to learn more, you can read:

https://brainly.com/question/13113489

Answer:

12/5

Step-by-step explanation:

The total number of students divided by the number of students who prefer dogs.

Mathematically:

48/20

=12/5

Therefore, that's the probability

There can be 90% confident that the population mean salary of college graduates who took a statistics course is between $60,947.78 and $66,652.22.

To construct a 90% confidence interval for estimating the population means μ of salaries for college graduates who took a statistics course, we can use the formula:

Confidence interval = sample mean ± (critical value) x (standard error)

First, we need to find the critical value from the t-distribution table with a degree of freedom of n-1. Since we have 49 college graduates, our degrees of freedom are 48. Looking at the table, the critical value for a 90% confidence level is 1.677.

Next, we need to find the standard error, which is calculated by dividing the standard deviation by the square root of the sample size. In this case, the standard error is $11,936/sqrt(49) = $1703.05.

Substituting these values into the formula, we get:

Confidence interval = $63,800 ± 1.677 x $1703.05
Confidence interval = $63,800 ± $2852.22

To learn more about Population :

https://brainly.com/question/25630111

#SPJ11

Answer:

B

Step-by-step explanation:

I am not good at math, but I know because it's basically out and not with the other dots lol.

Answer:

20

Step-by-step explanation:

She will be 10 in 5 years witch means she is 5

Double five you get 10

10 + 10 = 20

Answer:

the answer is B.) 20 years old

Step-by-step explanation:

if in 5 years melissa is 10, then right now she is 5 years old. since laura is twice as old as melissa, then laura is currently 10 years old. and if Kim is 10 years older then laura, then Kim is 20 years old

Tl;Dr:

10-5=5

5x2=10

10+10=20

Answer:

In bold below.

Step-by-step explanation:

let the shorter leg be x units long, then:

longer leg = x+4

and hypotenuse = x + x + 4 - 8 = 2x - 4 units.

By Pythagoras:

(2x - 4)^2 = x^2 + (x + 4)^2

4x^2 - 16x + 16 = x^2 + x^2 +8x + 16

2x^2 - 24x = 0

2x(x - 12) = 0

x = 12.

So the shorter leg = 12 units

Longer leg = 4 + 12 = 16 units and

Hypotenuse =  12 + 16 - 8 = 20 units.

Answer:

Step-by-step explanation:

The answer is 3.

X=2X-3

X+3=2X

3=2X-X

3=X

Answer:

3x < 2x + 8

Step-by-step explanation:

Answer:

a = 50, b = -5, c = 5

Step-by-step explanation:

All of the boxes have to be equal to 125

box 1,

75 + 50 = 125

box 2,

120 - ( -5 ) = 120 + 5 = 125

box 3

\(5^{3}\) =5 * 5 * 5=  125

If this helped, mark me as the brainliest!

Thank You !

Answer:

all of this box has be equal to 5

Hope this helps

Answer:

127

Step-by-step explanation:

15+38+a=180

a= 127

The function h(x, y) can be written as h(x, y) = (3x + 7y - 21)2 + (3x + 7y - 21). Another way to write it is as h(x, y) = h(x, y). The supplied functions f(x, y) = 3x + 7y - 21 and g(t) = t2 + t are combined into a single expression using this form.

In order to determine h(x, y), we need to insert the expression for f(x, y) into g(t). This will allow us to find h(x, y). Given that f(x, y) equals 3x + 7y - 21, we need to change g(t) to read as t = 3x + 7y - 21. Therefore, h(x, y) = g(f(x, y)) = g(3x + 7y - 21).

Now, by entering t = 3x + 7y - 21 into g(t), we get h(x, y) = (3x + 7y - 21)2 + (3x + 7y - 21), which is the answer we were looking for. This form illustrates the composition of the two functions f(x, y) and g(t) in order to derive h(x, y).

In the phrase that was arrived at as a result of this process, the term 3x + 7y - 21 is represented by its square, which is written as (3x + 7y - 21)2, while its square root is written as (3x + 7y - 21). When these two expressions are combined together, the result is h(x, y), which satisfies the equation h(x, y) = g(f(x, y)) = (3x + 7y - 21)2 + (3x + 7y - 21), which was given to us.

Learn more about expression here:

https://brainly.com/question/28170201

#SPJ11

The maintenance cost expected to be incurred during July is $9,400. This corresponds to option C in the given choices.

To determine the maintenance cost expected to be incurred during July, we need to substitute the planned machine time of 9,000 hours into the cost formula Y = $5,800 + $0.40X.

Plugging in X = 9,000 into the formula, we get:

Y = $5,800 + $0.40(9,000)

Y = $5,800 + $3,600

Y = $9,400

Therefore, the maintenance cost expected to be incurred during July is $9,400. This corresponds to option C in the given choices.

The cost formula Y = $5,800 + $0.40X represents the fixed cost component of $5,800 plus the variable cost component of $0.40 per machine-hour. By multiplying the planned machine time (X) by the variable cost rate, we can determine the additional cost incurred based on the number of machine-hours. Adding the fixed cost component gives us the total maintenance cost expected for a given level of machine-time. In this case, with 9,000 hours of planned machine time, the expected maintenance cost is $9,400.

To more on Cost:
https://brainly.com/question/28180563
#SPJ8

Answer: -4/3

Step-by-step explanation: hope this helps :)

Answer:

We know that half of the choir members are women, which means:

Number of women = 80/2 = 40

We also know that the number of men is one-quarter of the number of women, which means:

Number of men = 40/4 = 10

Now, we're given that the ratio of children to men in the choir is n:1. Let's call the number of children in the choir "c".

So, we have:

c : 10 = n : 1

We can cross-multiply to get:

c = 10n

Since we know that the total number of people in the choir is 80, we can set up another equation:

40 (women) + 10 (men) + c (children) = 80

Substituting c = 10n, we get:

40 + 10 + 10n = 80

Simplifying the left side, we get:

50 + 10n = 80

Subtracting 50 from both sides, we get:

10n = 30

Dividing both sides by 10, we get:

n = 3

Therefore, the value of n is 3

Expression 8x²-12xy-8y² is equivalent to 4(x+2y)(2x+y) is false.

A polynomial function is a mathematical function of one or more variables in which each term is a constant, a variable raised to a non-negative integer power, and a coefficient multiplying the variable term.

For example, the function f(x) = 3x⁴+ 2x³ - 5x² + x - 2 is a polynomial function of degree 4. Polynomial functions are used in various fields of mathematics, including algebra, calculus, and numerical analysis.

Given expression

8x²-12xy-8y²

Taking 4 common from each terms,

4(2x²-3xy-2y²)

We can write -3xy as -4xy and +xy

4(2x²-4xy+xy-2y²)

Simplifying the terms

4(2x(x-2y)+y(x-2y))

4(x-2y)(2x+y)

Hence, expression 8x²-12xy-8y² is equivalent to 4(x+2y)(2x+y) is false.

To know more about coefficient, visit:

https://brainly.com/question/28975079

#SPJ1

The solution of the inequalities is x > 6 or x < -4

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g 5 < 6, x ≥ 2, etc.

8 – 6x < −28 or 9x + 5 < −31

collect like terms and solve for x in both inequalities:

For 8 – 6x < −28:

8 – 6x < −28

-6x < -28 - 8

-6x < -36

-x < -36/6

-x < -6

x > 6

For 9x + 5 < −31:

9x + 5 < −31

9x < -31 - 5

9x < -36

x < -36/9

x < -4

Thus, the solution is x > 6 or x < -4

Learn more about inequality on:

brainly.com/question/25275758

#SPJ1

Answer:He can bring up 13.8333333333 boxes each trip

Step-by-step explanation:

970-140= 830

830÷60=13.8333333333

a) The derivative of f(x) = x^4 + 4x is f'(x) = 4x^3 + 4.

b) The antiderivative of f'(x) = 4x^3 + 4 is f(x) = (1/4)x^4 + 4x + C

What is derivative of function ?

The derivative of a function of a real variable measures the function's sensitivity to change in relation to a change in its input. Calculus relies heavily on derivatives.

a) To find the derivative of f(x) = x^4 + 4x, we can use the power rule and the linear rule of differentiation. The power rule states that if f(x) = x^n, then f'(x) = nx^(n-1). The linear rule states that if f(x) = cx, then f'(x) = c. Applying these rules, we have:

f'(x) = (x^4)' + (4x)'

= 4x^3 + 4

So, the derivative of f(x) = x^4 + 4x is f'(x) = 4x^3 + 4.

b) The question is asking for f(x), not f'(x). To find f(x), we need to integrate the derivative f'(x) with respect to x. We can use the power rule and the linear rule of integration to find an antiderivative for f'(x). The power rule states that if f'(x) = x^n, then f(x) = (1/(n+1))x^(n+1) + C, where C is an arbitrary constant of integration. The linear rule states that if f'(x) = c, then f(x) = cx + C. Applying these rules, we have:

f(x) = ∫(4x^3 + 4)dx

= (1/4)x^4 + 4x + C

So, The antiderivative of f'(x) = 4x^3 + 4 is f(x) = (1/4)x^4 + 4x + C, where C is an arbitrary constant of integration.

To know more about derivative of function visit,

https://brainly.com/question/28376218

#SPJ4

Answer:

1 book = 41 dollars.

Step-by-step explanation:

If you divide your whole by your part, then you will get how much 1 book is.

how i did it:

246 divided by 6 = 41.

1 book = 41 dollars

If the static friction coefficient were increased, the maximum safe speed would be decrease. The correct answer is C.

When the static friction coefficient is increased, it means that there is an increase in the maximum frictional force that can be exerted between the tires of a vehicle and the road surface before slipping occurs. This increase in frictional force allows the vehicle to have a higher maximum safe speed when making turns without slipping.

In a turn, the maximum safe speed is limited by the available frictional force to provide the necessary centripetal force for the turn. As the static friction coefficient increases, the maximum frictional force increases, which allows the vehicle to maintain a higher maximum safe speed.

Therefore, when the static friction coefficient is increased, the maximum safe speed for making turns will decrease. This is because the higher frictional force can counteract a lower speed and provide the required centripetal force for the turn, reducing the likelihood of slipping.

To know more about static frictionrefer here

https://brainly.com/question/17140804#

#SPJ11

A sample size of 76 would be required to estimate the population mean with a margin of error of 4 and a 98% level of confidence.

To determine the sample size required to estimate the population mean with a specific margin of error and level of confidence, we can use the formula:

n = (Z * σ / E)²

where

n = required sample size

Z = Z-score corresponding to the desired level of confidence

σ = standard deviation of the population

E = desired margin of error

here, we have that

the standard deviation (σ) is given as 15,

the margin of error (E) is 4 and

the level of confidence is 98% and For a 98% confidence level, the Z-score is approximately 2.33.

Plugging the values into the formula:

n = (2.33 * 15 / 4)²

n = (8.7375)²

n ≈ 76.34

n = 76

Learn more about sample size at

https://brainly.com/question/30647570

#SPJ4

The speed of the river's current is 0.4 miles per hour.

To determine the speed of the river's current, we can set up a system of equations based on the information given.

Let's denote the speed of the river's current as v miles per hour.

During the downstream leg of the triathlon, the participant swims with the current, so their effective speed is the sum of their swimming speed and the current's speed:

Effective speed downstream = 2 + v miles per hour

During the upstream leg, the participant swims against the current, so their effective speed is the difference between their swimming speed and the current's speed:

Effective speed upstream = 2 - v miles per hour

We are given that the total swim time is 1.25 hours. Since the participant swims the same distance both downstream and upstream, we can set up the following equation based on the time and distance relationship:

Time downstream + Time upstream = Total swim time

(1.2 miles) / (Effective speed downstream) + (1.2 miles) / (Effective speed upstream) = 1.25 hours

Substituting the expressions for the effective speeds, we have:

(1.2 miles) / (2 + v) + (1.2 miles) / (2 - v) = 1.25

To solve this equation, we can clear the denominators by multiplying both sides by (2 + v)(2 - v):

(1.2 miles)(2 - v) + (1.2 miles)(2 + v) = 1.25(2 + v)(2 - v)

Simplifying the equation:

2.4 - 1.2v + 2.4 + 1.2v = 1.25(4 - \(v^2\))

4.8 = 5 - 1.25\(v^2\)

Rearranging terms:

1.25\(v^2\) = 5 - 4.8

1.25\(v^2\) = 0.2

Dividing both sides by 1.25:

\(v^2\) = 0.2 / 1.25

\(v^2\) = 0.16

Taking the square root of both sides:

v = ± √0.16

Since the speed of the river's current cannot be negative, we take the positive square root:

v = 0.4

Therefore, the speed of the river's current is 0.4 miles per hour.

for such more question on speed

https://brainly.com/question/23377525

#SPJ11