On a coordinate plane, a line with positive slope is drawn from point A to point B. Point A is at (negative 5, negative 1) and point B is at (4, 1).
What are the coordinates of point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B?

The car's speed after the given amout of time is 19.8 m/s²

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration. A point or object going straight ahead is accelerated when it accelerates or decelerates. Any alteration in an object's velocity could take the form of a change in direction of motion or a speed increase or reduction. The moon orbiting the earth, an apple falling to the ground, and a car stopped at a stop sign are a few instances of acceleration.

Average Acceleration =Change in Velocity/ Time Taken

So Change in Velocity is 10-x m/s

Time taken is 7.25 s

Given accelaration 4.11 m/s²

Putting the values we get,

4.11 = (10-x)/7.25

⇒29.8 = 10-x

⇒x=19.8 m/s²

​

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The approximate speed of sound will be 12 miles per minute.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula is given as,

Speed = Distance/Time

Sound can travel incredibly quickly: 1 mile in about 1/12 of a minute.

Based on that, the approximate speed of sound will be

Speed = 1 / (1/12)

Speed = 1 x 12

Speed = 12 miles per minute

The approximate speed of sound will be 12 miles per minute.

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a) [1,3]: 1.85 m/s, [2,3]: 0 m/s, [3,5]: 7.55 m/s, [3,4]: 7 m/s

b) The estimated instantaneous velocity at t = 3 is positive.

a) The average velocity for each time period can be calculated by finding the change in position divided by the change in time.

a) [1,3]: Average velocity = (s(3) - s(1)) / (3 - 1) = (5.1 - 1.4) / 2 = 1.85 m/s

b) [2,3]: Average velocity = (s(3) - s(2)) / (3 - 2) = (5.1 - 5.1) / 1 = 0 m/s

c) [3,5]: Average velocity = (s(5) - s(3)) / (5 - 3) = (25.8 - 10.7) / 2 = 7.55 m/s

d) [3,4]: Average velocity = (s(4) - s(3)) / (4 - 3) = (17.7 - 10.7) / 1 = 7 m/s

b) To estimate the instantaneous velocity when t = 3 using the graph of s as a function of t, we can look at the slope of the tangent line at t = 3. By visually examining the graph, we can see that the tangent line at t = 3 has a positive slope. Therefore, the estimated instantaneous velocity at t = 3 is positive. However, without more precise information or the actual equation of the curve, we cannot determine the exact value of the instantaneous velocity.

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ANSWER

EXPLANATION

We want to reduce the given fraction to the lowest terms.

To do that, we have to check if we can divide the numerator and denominator by a common factor.

Since 50 and 4 are divisible by 2, we can reduce the fraction:

To write it as a mixed fraction, we want to write it as a mixture of a whole number and a fraction.

To do this, find the greatest multiple of 2 that is less than 25, divide it by 2, and then, write the difference of 25 and the multiple as a numerator.

The greatest multiple of 2 less than 25 is 24. Hence, we have that:

That is the fraction as a mixed number in the lowest terms.

Answer:

pretty sure 25% off

Step-by-step explanation:

The correct option will be A that is t=(A-P)/Pr by the simplification of equation, "an equation is a mathematical statement that shows that two mathematical expressions are equal ".

In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. In mathematics, an equation is a relationship of equality between two expressions written on both sides of the equal to sign. 3y = 16 is an example of an equation. Some examples of important equations are:

Here,

A=P+Prt

A-P=Prt

t=(A-P)/Pr

The answer is A, which is t=(A-P)/Pr using the equation's simplified form. An equation is a mathematical statement that demonstrates the equality of two mathematical expressions.

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Answer:

7c²d-7c+4d-10, you first do 5c²d+2c²d, then you do -4c-3c, after that you do +3d + d and finally you do -3-7.

I hope I helped you

Answer:

Step-by-step explanation:

The first one as it is a sloping straight  passing through the origin.

Answer:

(2, -32)

Step-by-step explanation:

1) Expand them.

y = 2(x² - 6x + 2x - 12)

y = 2(x² - 4x - 12)

y = 2x² - 8x - 24.

2) Complete the square to find the vertex.

y = 2([x² - 4x)] - 24

y = 2[(x - 2)² - 4] - 24

y = 2(x - 2)² - 8 - 24

y = 2(x - 2)² - 32

The vertex: (2, -32)

or you can use this: x = -b/2a

x = -(-8)/2(2)

x = 8/4

x = 2

Substitute the value into the original equation for y.

y = 2(2)² - 8(2) - 24

y = 2(4) - 16 - 24

y = 8 - 16 - 24

y = -32

Vertex: (2, -32)

Answer:

  (2, -32)

Step-by-step explanation:

The vertex of the graph of a quadratic equation is on the line of symmetry, halfway between the x-intercepts. It can be found by evaluating the equation at that point.

The given function is written in factored form, so the x-intercepts are easy to find. They are the values of x that make the factors zero:

  (x +2) = 0   ⇒   x = -2

  (x -6) = 0   ⇒   x = 6

The midpoint between these values of x is their average:

  x = (-2 +6)/2 = 4/2

Then the x-coordinate of the vertex, and the equation of the line of symmetry is ...

  x = 2

Using this value of x in the quadratic relation, we find the y-value at the vertex to be ...

  y = 2(2 +2)(2 -6) = 2(4)(-4)

  y = -32

The coordinates of the vertex are (x, y) = (2, -32).

There are 70 ways to split 8 people into two teams of 4. There are 1680 ways to split 9 people into 3 teams of 3. There are 945 ways to choose 2 teams of 4 from 10 prospects.

To find the number of ways to split 8 people into two teams of 4, we can first choose the first team in $\binom{8}{4} = 70$ ways, and the second team will be the remaining 4 people.

To split 9 people into 3 teams of 3, we can first choose the first team in $\binom{9}{3} = 84$ ways. After this, we are left with 6 people, from which we choose the second team in $\binom{6}{3} = 20$ ways. The final team will be the remaining 3 people.

To choose 2 teams of 4 from 10 prospects, we can first choose the first team in $\binom{10}{4} = 210$ ways. After this, we are left with 6 people, from which we choose the second team in $\binom{6}{4} = 15$ ways. However, since the order in which we choose the two teams does not matter, we must divide by 2 to get the final answer of $\frac{210 \cdot 15}{2} = 945$.

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The volume of the cylinder with a height of 7 feet and a base diameter of 18 feet is approximately 1780.4 cubic feet.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given that the the cylinder has a height of 7 feet and base diameter is 18 feet, we can find the radius (r) by dividing the diameter by 2:

Radius r = diameter/2

Radius r = 18 feet / 2

Radius r = 9 feet

Plugging the values into the above formula, we get:

V = π × r² × h

V = 3.14 × ( 9 ft )² × 7 ft

V = 3.14 × 81 ft² × 7 ft

V = 1780.4 ft³

Therefore, the volume is approximately 1780.4 ft³.

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1. The official lines of authority. 2. The formal lines of communication. 3. The base level of the organization.

Organizational structure box-and-lines diagrams show at least three things:

1. The official lines of authority: These diagrams illustrate the formal hierarchy within an organization, indicating the chain of command and reporting relationships. The lines represent the flow of authority and communication, highlighting who reports to whom. For example, a manager may have multiple employees reporting to them, and those employees may further have their own subordinates.

2. The formal lines of communication: These diagrams also depict the formal channels through which information flows within the organization. They show how information is passed between different levels and departments. For instance, a diagram may show that information flows vertically from top management to lower-level employees or horizontally between departments.

3. The base level of the organization: These diagrams display the entry-level positions within the organizational structure. This helps to understand the foundational roles that exist and how they fit into the larger structure. For instance, the diagram may indicate positions such as interns, junior associates, or entry-level staff.

In summary, organizational structure box-and-lines diagrams provide a visual representation of the official lines of authority, the formal lines of communication, and the base level of the organization. These diagrams help individuals understand the hierarchy, communication flow, and entry-level positions within an organization.

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To determine the sample size required for a 99% confidence interval with a margin of error of 3.3, we need to calculate the appropriate value using the formula: n = (Z * σ / E)². Given that the standard deviation (σ) is 19.8 and the margin of error (E) is 3.3, we can solve for n using the appropriate Z-value for a 99% confidence level. The correct answer choice is B. 239.

The formula to calculate the sample size (n) for a desired margin of error (E) is: n = (Z * σ / E)², where Z represents the Z-value corresponding to the desired confidence level. For a 99% confidence level, the Z-value can be obtained from standard normal distribution tables or using statistical software, which is approximately 2.576.

Plugging in the given values, we have:

n = (2.576 * 19.8 / 3.3)²

n = (51.0048)²

n ≈ 2601.048

Since the sample size must be a whole number, we round up to the nearest integer, resulting in n = 2602. Therefore, the correct answer choice is B. 239.

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In your daily routine, If you weight 200 pounds and need to drink 1L of water every day, it would take you 1 hour and 30 minutes to get through this amount (roughly 30 minutes less than if you weighed 180 pounds).

Water is the most important nutrient you can consume. This is because it helps your body with its normal functioning and helps to flush out toxins from your system. Water helps maintain the proper pH balance of your body by lowering high levels of acid in the blood. Water is the best source of hydration. It hydrates the body, maintains healthy cardiovascular system and helps fight off dehydration. Depending on your weight classification you need to drink around 1 gallon of water every day.

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Answer:

about 100 miles per hour

Step-by-step explanation:

about 100 miles per hour if you round 33.5 to 36

Answer:

25

Step-by-step explanation:

Use of the two-tailed test is advised. In order to compare the average across two years,

A random sample of 25 national capitals had their air quality measured in 2013, and the same cities had been visited again in 2014. We want to compare the average air quality between the two years using this data.

A one-sided or two-sided test should be used, right? Describe your thinking.

The two-tailed test should be used. We want to contrast the average across two years. If the test parameter calculated for the two years differs, it would be interesting to know. (There is no exact comparison to show if one year is better or worse than the other.)

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The convolution product of r(t) and s(t) is y(t) = 2(t+3)u(t+3) - 2(t-3)u(t-3) - 2(t+2)u(t+2) + 2(t-2)u(t-2) - 2(t+1)u(t+1) + 2(t-1)u(t-1) - 2tu(t) + 2(t-1)u(t-1) - 2(t-2)u(t-2) + 2(t-3)u(t-3).

To find the convolution product of r(t) and s(t), we need to evaluate the integral of the product of r(t) and s(t) over the appropriate range. In this case, r(t) = u(t) - u(t-1) and s(t) = 2u(t+3) - 2u(t-3).

To perform the convolution, we substitute the expression for r(t) and s(t) into the integral:

y(t) = ∫[u(τ) - u(τ-1)][2u(t+3-τ) - 2u(t-3-τ)] dτ.

Simplifying this expression, we obtain:

y(t) = 2∫[u(τ) - u(τ-1)][u(t+3-τ) - u(t-3-τ)] dτ.

The next step is to evaluate the integral over the appropriate range. Since the limits of integration depend on the variables involved, we need to consider different cases.

Case 1: t+3 ≥ τ ≥ t-3

In this case, both u(t+3-τ) and u(t-3-τ) are equal to 1, and the integral becomes:

y(t) = 2∫[u(τ) - u(τ-1)] dτ.

Case 2: t+3 ≥ τ > t

In this case, u(t+3-τ) = 1, and u(t-3-τ) = 0, so the integral becomes:

y(t) = 2∫[u(τ) - u(τ-1)] dτ + 2∫u(τ-3) dτ.

Case 3: t > τ ≥ t-3

In this case, u(t+3-τ) = 0, and u(t-3-τ) = 1, so the integral becomes:

y(t) = 2∫[u(τ) - u(τ-1)] dτ - 2∫u(τ-3) dτ.

By evaluating the integrals in each case, we can obtain the expression for y(t) as shown in the main answer.

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The common ratio of the sequence is 0.4 .

What is geometric sequence ratio ?

  Each term in a geometric sequence is found by multiplying or dividing the previous term by the same amount, this is called the common ratio. To find the common ratio, start by calculating the difference between each pair of numbers, moving from one term to the next.

Here the given sequence is ,

=> \(\frac{35}{2},7 , \frac{14}{5},\frac{28}{25}\)

Here the first term \(a_1\) = \(\frac{35}{2}\) and \(a_2=7\)

Now the common ratio is r = \(\frac{a_2}{a_1}\)

=> r = \(\frac{7}{\frac{35}{2} }\)

=> r = \(\frac{7*2}{35}\)

=> r = \(\frac{2}{5}\)

=> r = 0.4

Therefore the common ratio is 0.4 .

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solution:

3x^2+9x-5

i hope this helps

:)

Answer:

3 and 1/3

Step-by-step explanation:

Just devide the numbers pal, it aint hard, grab a calculator.

Step-by-step explanation:

12/y = 4/3

y=9

hope it helps you

The required answer is the filled volume for "Guzzle" bottles is between 0.0054oz and 0.0197oz.

Based on the given information, the bottlers of "Guzzle" are experiencing issues with the filling mechanism for their 16oz bottles. To estimate the population standard deviation of the volume, the filled volume for 20 bottles was measured, yielding a sample standard deviation of 0.1oz.
To compute a 95% confidence interval for the standard deviation, we can use the formula:

CI = ( (n-1) * s^2 / X^2_α/2, (n-1) * s^2 / X^2_1-α/2 )

Where CI is the confidence interval, n is the sample size (in this case, 20), s is the sample standard deviation (0.1oz), X^2_α/2 is the chi-squared value for the upper tail of the distribution with α/2 degrees of freedom (where α = 0.05 for a 95% confidence interval), and X^2_1-α/2 is the chi-squared value for the lower tail of the distribution with 1-α/2 degrees of freedom.
Using a chi-squared table or calculator, we can find that X^2_α/2 = 31.410 and X^2_1-α/2 = 10.117.
Plugging in the values, we get:
CI = ( (20-1) * 0.1^2 / 31.410, (20-1) * 0.1^2 / 10.117 )
Simplifying, we get:
CI = (0.0054, 0.0197)
Therefore, we can say with 95% confidence that the population standard deviation of the filled volume for "Guzzle" bottles is between 0.0054oz and 0.0197oz.

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Answer:

Yes, I think they are right cause i got the same answer

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

Given that :

Let Probability of rain today = P(rain today) = 50% = 0.5

The complement of an event A denoted as A' means the opposite of event A is obtained by subtracting event a from 1.

P(rain today) = 0.5

The complement of P(rain today) ; means the probability that it will NOT rain today;

Hence, P(raintoday') = 1 - 0.5 = 0.5 = 50%

Answer:

22%.

Step-by-step explanation:

7/25 = 28%

0.09 = 9%

2/5 = 40%

29% + 9% + 40% = 78%

100% - 78% = 22%

And you have your answer. Hope this helped.

Answer:

ion understand either lol

Answer:A.800

Step-by-step explanation: