A ping pong ball is shot from a height of 4 feet, and reaches its maximum height of 10 feet 3 seconds later. Write the equation and find how long will it take the ping pong ball to hit the ground? Round your answer to the nearest hundredth.

The probability that each of the balls will be; a) P( of the same color) = 0.08875. b) P ( of different color) = 0.247678

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

The Number of red balls = 5

The number of blue balls = 6

The number of green balls = 8

The Total number of balls = 5 + 6 + 8 = 19

Then with three balls selected at random, by using combination method ;

nCr = n!/(n-r)!r!

a) P( of the same color) = 5C3 + 6C3 + 8C3 / 19C3

=  86/969 = 0.08875

b) P ( of different color) = 5C1 X 6C1 X 8C1 /19C3

= 240/969 = 0.247678

Hence, The probability that each of the balls will be; a) P( of the same color) = 0.08875. b) P ( of different color) = 0.247678

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Answer:

y-intercept: (0, 3)

Step-by-step explanation:

Attached is a screenshot of the plotted points (-1, 1) and (1, 5) on a graph. It shows that the line crosses the y-axis at point (0, 3) → which is the y-intercept.

Please mark my answer as the Brainliest, if you find this helpful :)

Answer:

I would think J because they gained the same amount

The researcher is collecting data through self-reported subjective measurement, which is a type of qualitative measurement

The type of measurement the researcher is collecting is self-reported subjective measurement. This means that the students are providing their own opinions or perceptions about their level of happiness during the school day. The researcher is not measuring a physical or objective characteristic of the students, but rather their subjective experiences or feelings.

The scale of 1-10 is a Likert scale, which is a type of rating scale commonly used in survey research to measure attitudes or opinions. It allows respondents to indicate their level of agreement or disagreement with a statement or question by selecting a point on the scale. In this case, the question asked the students to rate their level of happiness during the school day on a scale from 1-10.

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Answer: BeleveNtEen

Step-by-step explanation:

you add the two with the two and then bAmm!! BelEVenTEen.

The function d(n) = 3^n-1 for n>2 generates the given geometric sequence.

The common ratio of the given geometric sequence is 3, which means that each term is obtained by multiplying the previous term by 3.

a(n)= 3^n for n>0 generates the sequence 3^1, 3^2, 3^3, 3^4, ... = 3, 9, 27, 81, ..., which is not the same as the given sequence.

b(n) = 3(3)^n for n>0 generates the sequence 3(3)^1, 3(3)^2, 3(3)^3, 3(3)^4, ... = 9, 27, 81, 243, ..., which is not the same as the given sequence.

c(n)= 3^n for n>2 generates the sequence 3^3, 3^4, 3^5, 3^6, ... = 27, 81, 243, 729, ..., which is not the same as the given sequence.

d(n) = 3^n-1 for n>2 generates the sequence 3^2, 3^3, 3^4, 3^5, ... = 9, 27, 81, 243, ..., which is the same as the given sequence starting from the third term.

Therefore, the function d(n) = 3^n-1 for n>2 generates the given geometric sequence.

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Answer: A

a(n) = 3^n for n > 0

Step-by-step explanation: Khan

The fewest number of straight cuts needed to divide a flat pancake into 16 pieces is 5. This can be done by cutting the pancake into 4 pieces, then the 4 pieces into 4, and the resulting 16 pieces into 2.

The fewest number of straight cuts needed to divide a flat pancake into 16 pieces is 5. To do this, start by making one straight cut to divide the pancake into two equal pieces. Then make two more cuts, spaced evenly around the circumference, to divide the pancake into 4 equal pieces. Next, make two more cuts, spaced evenly around the circumference, to divide the 4 pieces into 4 even smaller pieces. Finally, make one last cut, spaced evenly around the circumference, to divide the 16 pieces into 2 equal pieces, giving you a total of 16 pieces. With this method, you can divide a flat pancake into 16 pieces with just 5 straight cuts.

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Answer: $8.50

hope this helps :)

im not the nest at math but im pretty sure that is what is is.

Step-by-step explanation:

Answer: Angle c is 80 degrees

Equation: 60+40+x = 180

Step-by-step explanation: First of all, know a triangle equals 180 degrees. You add the angles you already know together and then subtract that number from 180. Then you get angle c. :)

Answer:

Half;  twice

Step-by-step explanation:

In a circle, the radius is said to be the distance from the center of the circle to any point on the edge of the circle, it is denoted as "r". The radius is called a radii if it is more than one.. The radius of a circle is half the length of the diameter of a circle because the diameter of a circle is the distance of the line that passes through the center of a circle touching both edges of the circle. It is denoted as "d".

Thus,

2r = d

r = d/2

For example, if the radius of a circle is 10cm, the diameter of the circle will be calculated as: d = 2 * 10 = 20cm. Which means if the radius is 10cm, diameter will be 20cm.

Therefore, the radius of a circle is half the length of its diameter. the diameter of a circle is twice the length of its radius

The estimation of 0.000007328 is \(7\times10^{-6\).

Estimation is he ability to guess the amount of anything without actual measurement.

The number (n) is given as:

\(\text{n}=0.000007328\)

Multiply by 1

\(\text{n}=0.000007328\times1\)

The number is to be rounded to the nearest millionth.

So, we substitute \(\frac{1000000}{1000000}\) for 1

\(\text{n}=0.000007328\times1\)

\(\text{n}=0.000007328\times\dfrac{1000000}{1000000}\)

This becomes

\(\text{n}=7.328\times\dfrac{1}{1000000}\)

Express the fraction as a power of 10

\(\text{n}=7.328\times10^{-6\)

Approximate to a single digit

\(\rightarrow\bold{n=7\times10^{-6}}\)

Therefore, the estimation of 0.000007328 is \(7\times10^{-6}\).

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Answer:

It can equal anything.. You need to find a unit to convert it to.. Such as feet, or meters.

Step-by-step explanation:

Answer:

1 microgram

Step-by-step explanation:

Answer:

Hopefully this helps.

f(x) =\(2x^2\) - 5x and g(x) = 5x - 1. - Then  g[f(-3)]. g[f( – 3)] = 164.

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. The term "function" was first used by Gottfried Wilhelm Leibniz in 1673. A function can be represented by an equation or a formula that describes how the output value is obtained from the input value(s).

The concept of a function is fundamental in mathematics, as it is used in various branches such as calculus, algebra, geometry, and more. Functions are used to model relationships between variables, analyze data, and solve problems.

To find g[f(-3)], we need to first evaluate f(-3) and then use the result to evaluate g.

f(x) =\(2x^2 - 5x\)

f(-3) = \(2(-3)^2 - 5(-3) = 18 + 15 = 33\)

Now we can use the result of f(-3) to evaluate g.

g(x) = 5x - 1

g[f(-3)] = g[33] = 5(33) - 1 = 164

Therefore, g[f(-3)] = 164.

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Answer:

Approximately 16.67 liters concentration of the 6% solution and approximately 13.33 liters of the 15% solution are required to make 30 liters of a 10% solution.

Step-by-step explanation:

Let's denote the amount of the 6% solution as x liters and the amount of the 15% solution as y liters. We need to find the values of x and y that satisfy the conditions.

Since we want to make 30 liters of a 10% solution, we can set up the following equations:

Equation 1: x + y = 30 (total volume equation)

Equation 2: (0.06x + 0.15y) / 30 = 0.10 (concentration equation)

From Equation 1, we have x = 30 - y. Substituting this into Equation 2, we get:

(0.06(30 - y) + 0.15y) / 30 = 0.10

Simplifying the equation gives:

(1.8 - 0.06y + 0.15y) / 30 = 0.10

1.8 + 0.09y = 3

0.09y = 1.2

y ≈ 13.33

Substituting y back into Equation 1, we find:

x + 13.33 = 30

x ≈ 16.67

Therefore, approximately 16.67 liters of the 6% solution and approximately 13.33 liters of the 15% solution are required to make 30 liters of a 10% solution.

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distrubutive property

because you'll have to distribute the in inverse integer in the right and on the left .

Answer:

the fist one is wrong its c

Step-by-step explanation:

Answer:

Step-by-step explanation:

my answer is  3 1/9 gallons

Given: a container with 3 1/2 gallons of weed killer can spray 2 1/4 lawns.

No. of gallons required to spray 2 lawns = x

So, first of all we should divide 3 1/2 with 2 1/4

now this division we should equalise with  x/3

(3 1/2 ÷ 2 1/4)  = x ÷ 2

after doing this we have got the value of x = 28/9  or 3 1/9

hence, 3 1/9 gallons is required to spray 2  lawns.

So . this question is related to capacity.

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Answer:

the third option

Step-by-step explanation:

do you want an explanation?

The given series is Σ(-1)^n (7n – 5)/(8n + 5) for n = 1 to infinity.
To apply the Alternating Series Test, we need to check if the series satisfies the following two conditions:
1) The terms of the series alternate in sign.
2) The absolute value of the terms decreases as n increases.

1) The given series alternates in sign because of the (-1)^n factor.
2) To check if the absolute value of the terms decreases as n increases, we can find the ratio of consecutive terms:

b_n = (7n – 5)/(8n + 5)
b_n+1 = (7(n+1) – 5)/(8(n+1) + 5)

So, b_n+1/b_n = [(7n+12)/(8n+13)] * [(8n+5)/(7n-5)]
= (56n^2 + 43n + 60)/(56n^2 - 41n - 65)

We can observe that the numerator is always greater than the denominator for n >= 1. Therefore, b_n+1/b_n < 1 for all n >= 1, which means that the absolute value of the terms decreases as n increases.

Since the series satisfies both conditions of the Alternating Series Test, we can conclude that the series converges.

To evaluate lim bn as n approaches infinity, we can use the fact that bn is a rational function of n. By dividing both numerator and denominator by n, we can write:

b_n = (7 - 5/n)/(8 + 5/n)

As n approaches infinity, both the numerator and denominator approach constants (7 and 8, respectively). Therefore, lim bn = 7/8.

So, the series Σ(-1)^n (7n – 5)/(8n + 5) converges to a limit of 7/8.

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Watermelon would be moving at a speed of 39.2m/s.

When an object is dropped from a height while ignoring air resistance, then it's speed will increase at a constant rate because of acceleration due to gravity. The acceleration due to gravity on the earth is 9.8m/s^2.

In this case, to calculate the speed we have to use the formula:

v = gt

where, v = final velocity,

           g = acceleration due to gravity,

           t = time.

Substituting the values when time (t) is 4s, we get

v = 9.8 * 4

v = 39.2m/s

Therefore, after 4 seconds of falling, watermelon would be moving at a speed of 39.2m/s.

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Answer:

(0,-2) is the correct answer.

Step-by-step explanation:

An advantage of a matrix organization is (d) all of the above.

A matrix organization is a type of organizational structure that combines elements of both functional and project-based structures. It has several advantages, which are represented by options a, b, and c:

In a matrix organization, there is a clear definition of roles, responsibilities, and reporting lines.

This clarity helps in reducing ambiguity and provides employees with a better understanding of their position within the organization.

One of the key advantages of a matrix organization is its ability to coordinate complex and independent activities.

By having multiple reporting lines and cross-functional teams, different departments or divisions can work together more effectively, sharing resources and expertise to achieve common goals.

This enables better coordination and integration of activities across the organization.

In a matrix organization, power struggles can be minimized because decision-making and authority are distributed across different levels and functions.

This helps to reduce conflicts that may arise from a traditional hierarchical structure and encourages collaboration among team members.

Therefore, all of the options provided (a, b, and c) are advantages of a matrix organization.

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The 5 "Ws" that are typically included in a table to articulate and evaluate the value of a work project are Why, What, Who, When, and Where.

These 5 "Ws" provide essential information about the project and help in understanding its purpose, scope, and impact.

1. Why: This addresses the motivation and justification behind the project. It explains the problem or opportunity that the project aims to address and the reasons for undertaking it. It helps stakeholders understand the significance and relevance of the project.

2. What: This describes the objectives, deliverables, and desired outcomes of the project. It outlines the specific tasks, activities, or milestones that need to be achieved to accomplish the project's goals. It provides clarity on the project's scope and helps set expectations.

3. Who: This identifies the individuals or groups involved in the project. It includes project team members, stakeholders, sponsors, and any other relevant parties. Understanding the roles and responsibilities of different stakeholders helps in effective project management and collaboration.

4. When: This defines the project timeline and milestones. It includes the start and end dates of the project, as well as any important deadlines or key dates associated with specific deliverables or activities. It helps in tracking progress and ensuring timely completion of the project.

5. Where: This specifies the project location or the context in which it is taking place. It could be a physical location, such as a specific site or office, or it could refer to a specific department or division within an organization. Understanding the project's environment helps in planning and coordinating resources effectively.

Including these 5 "Ws" in a table provides a comprehensive overview of the project, covering its purpose, scope, stakeholders, timeline, and context. It facilitates effective communication, decision-making, and evaluation of the project's value and progress.

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Answer: cost of fencing = 15 x 40 = 600 rupees

Step-by-step explanation:

To find the cost of fencing around the plot, we have to calculate the PERIMETER (p).

Area = 100 sq. m.

Side = √100 = 10 m

Perimeter = 4s = 4 x 10 = 40 m

The six trigonometric identities are:

Trigonometry is the branch of mathematics that deals with the relationships between the angles and sides of triangles. In trigonometry, there are six basic functions, sine, cosine, tangent, cosecant, secant, and cotangent, each of which is represented by a specific letter. These functions are related to each other through a set of identities known as the trigonometric identities.

The six trigonometric identities listed above, are the most commonly used identities, and provide the relationships between the six trigonometric functions and each other. They are useful for solving trigonometric equations, simplifying trigonometric expressions, and solving problems in geometry, physics, engineering and other sciences.

The Pythagorean identity states that the sum of the squares of the sine and cosine of an angle is equal to 1, which is a fundamental relationship between the two functions. The reciprocal identities state that the reciprocal of the sine and cosine of an angle is equal to the cosecant and secant of that angle respectively.

The quotient identities state that the tangent of an angle is equal to the sine of that angle divided by the cosine of that angle, and the cotangent of an angle is equal to the cosine of that angle divided by the sine of that angle.

It's important to note that these identities are valid for all values of the angle, and are true in any angle measurement system (degrees or radians).

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Answer:

LN = 64 units

Step-by-step explanation:

Given M lies on LN, so LN = LM + MN --------------(1)

LN = 12x + 16

LM = 10x + 8

MN = 5x - 4

Substituting the values in equation 1, we get:

12x + 16 = (10x + 8) + (5x - 4)

12x + 16 = 15x + 4

15x - 12x = 16 -4

3x=12

Therefore x=4

LN= 12(4) + 16 = 64 units