s² ÷ 2
s = 6

Evaluate the expression ​

Answer:

circumference:  12.56 yd

area:  3.14(2 yd)² = 12.56 yd²

Step-by-step explanation:

The circumference formula is C = 2πr (pi, not pie), where r is the radius.

When r = 2 yd and π ≈ 3.14, the circumference is:

C = 2(3.14)(2 yd) = 12.56 yd

The fraction of the tiled floor is made of darker tiles is = \(\frac{4}{9}\)

Now, According to the question:

Let's know:

What is a fraction in math?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

The given data is;

A corner of a tiled floor is shown.

If the entire floor is tiled in this way and each of the four corners looks like this one.

To find fraction of the tiled floor is made of darker tiles.

Take the total darker portion is 16

All is = 6 x 6 = 36

The fraction of the tiled floor is made of darker tiles will be:

\(\frac{16}{36}=\frac{4}{9}\)

The answer is:

= \(\frac{4}{9}\)

Hence, The fraction of the tiled floor is made of darker tiles is = \(\frac{4}{9}\)

In both cases, for a line of k+1 people, there exists a woman directly in front of a man. Thus, by mathematical induction, the statement holds true for all positive integers n where the first person is a woman and the last person is a man.

To prove this statement using mathematical induction, we will first establish a base case. When n = 2, there are only two people in the line, and the statement is true. The first person is a woman and the last person is a man, and therefore the woman is directly in front of the man.

Next, we assume that the statement is true for n = k, where k is a positive integer. That is, if k people stand in a line with a woman first and a man last, then there is a woman directly in front of a man somewhere in the line.

Now, we need to show that the statement is also true for n = k + 1. Suppose k + 1 people stand in a line, with a woman first and a man last. We can remove the first person (the woman) and consider the remaining k people. By our induction hypothesis, there is a woman directly in front of a man somewhere in this line of k people.

Now, we have two cases for the position of the woman and man in the line of k people:

Case 1: The woman directly in front of the man is in the first k positions. In this case, we can add the first person back into the line, and the statement is true for n = k + 1.

Case 2: The woman directly in front of the man is in the last k positions. In this case, we can remove the first person and consider the line of k people from the second person to the last person. By our induction hypothesis, there is a woman directly in front of a man somewhere in this line of k people. When we add the first person back into the line, this woman will be directly in front of the man, and the statement is again true for n = k + 1.

Therefore, by mathematical induction, we have shown that if n people stand in a line, where n is a positive integer, and if the first person in the line is a woman and the last person in line is a man, then somewhere in the line there is a woman directly in front of a man.

Mathematical induction to prove the given statement. We'll use the terms base case, induction hypothesis, and induction step.

Base case (n=2): When there are two people in the line (a woman followed by a man), it's clear that there's a woman directly in front of a man. This establishes our base case.

Induction hypothesis: Assume that for some positive integer k, if there are k people in a line with a woman at the beginning and a man at the end, there exists a woman directly in front of a man.

Induction step: Let's prove this for k+1 people. We have two cases:

1. If the second-to-last person is a woman, we can remove the last man and have a line of k people. By the induction hypothesis, there exists a woman directly in front of a man in this line, and this also holds for the k+1 people line.

2. If the second-to-last person is a man, we can remove the first woman and have a line of k people. By the induction hypothesis, there exists a woman directly in front of a man in this line. When we add back the first woman, she is now directly in front of the second-to-last man, which also satisfies the condition.

In both cases, for a line of k+1 people, there exists a woman directly in front of a man. Thus, by mathematical induction, the statement holds true for all positive integers n where the first person is a woman and the last person is a man.

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Answer:

I GOT YOU!

Step-by-step explanation:

⛅️= 10

❄️= 5

x = 8

So,

10+10+10=30

10+5+5=20

5+8= 13

10+5+8=23

I hope I helped...

Answer:

1.=x+5

2.=x+11

3.=x+2

4.=2x+3

Step-by-step explanation:

3+x+2

=3+x+2

=(x)+(3+2)

=x+5

7+x+4

=7+x+4

=(x)+(7+4)

=x+11

Answer:

19

Step-by-step explanation:

Explanation: To solve this question first we need to know that the terminal point pair (little red point in the image) represented by the coordinates represent the (cosine, sine) as shown bellow

We also need to understand that the "tan" formula can be expressed as follows

So all we need to do is to substitute and calculate.

Step 1: Let's substitute the values and calculate as follows

Step 2: Now let's rationalize the result as follows

Final answer: So the final answer is

.

Answer:

area = 11 17/21 cm²

Step-by-step explanation:

area = length x width

area = 2 2/7 x 5 1/6 = 16/7 x 31/6 = 496/42 = 11 34/42 = 11 17/21 cm²

Step-by-step explanation:

Come over here

fja-fsbf-knf

The value of t-score for a 99.8% confidence interval is 3.467 if we take a sample of size 25.

The range of values created around a sample estimate of a population parameter is known as a confidence interval. It is a means to put a number on the level of uncertainty surrounding a sample estimate. Confidence intervals are employed for drawing conclusions about the population from a sample. They are frequently employed in research investigations and data analysis and are a crucial instrument in statistical analysis.

The process of deciding how many observations or replicates to include in a statistical sample is known as sample size determination. Any empirical study with the aim of drawing conclusions about a population from a sample must take into account the sample size as a crucial component.

Solution:

To calculate the t-score, you would need to know the degrees of freedom, which is equal to the sample size minus 1 (in this case, 25 - 1 = 24). You would then look up the t-score in a t-table or use a t-distribution calculator with a confidence level of 99.8% and the appropriate degrees of freedom.

And looking in t-table we found out answer to be 3.467

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Answer:

I think its

2.4, square root of 5, 1/2, -7/4, -2

hope this helps :D

The sun would more frequently be reaching the ground at a high angle at latitude 0° (the equator). Option A is correct.

What is latitude?

Latitude is the angle north or south of the equator and extends horizontally over the globe. Longitude, on the other hand, runs from east to east and runs vertically across the globe.

On any given day, only points on Earth's surface that are located along a single line of latitude can experience sunlight at a 90-degree angle. Lower levels of sunshine are present everywhere else. The sun's beams are typically strongest at the equator and weakest at the poles.

Option A is correct,0° (the equator).

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Answer:

14

Step-by-step explanation:

the difference between -4 and 10 is 14, (4 to get to 0, and 10 more to get to 10.) and the difference between -8 and -8 is 0 so we don’t have to count it.

To solve graphically this set of equations, we should first draw both lines and see the value of x at which the lines crosses

Both graphs can be drawn as follows

We can see that both graphs intersect at a negative value of x. With a more accurate graph, we can determine that both lines intersect at x=-2.

So the solution for this system of equation is x=-2.

Answer:

25y + 15x - 0.2y - 6 +(-2) =31.8

To approximate f'(0.6) using the Second Derivative Midpoint Formula with the given table data points and h = 0.06, follow these steps:

1. Identify the relevant data points: f(0.54), f(0.6), and f(0.66).
2. Apply the Second Derivative Midpoint Formula: f'(0.6) ≈ (f(0.66) - 2f(0.6) + f(0.54)) / (h^2).

Unfortunately, I cannot provide a specific answer without the values for f(0.54), f(0.6), and f(0.66).

Please provide these values, and I will gladly help you complete the calculation.

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The volume and the surface area of the regular octogonal prism are given as follows:

The volume of the prism is given by the multiplication of the base area of the prism by the height of the prism.

The base is a regular octagon of side length 2 inches, hence it's area is given as follows:

\(A = 2a^2(1 + \sqrt{2})\)

Hence, considering that a = 2, the base area is given as follows:

\(A = 8(1 + \sqrt{2})\)

The height is of 7 inches, hence the volume, in cubic inches, is given as follows:

\(V = 7 \times 8(1 + \sqrt{2}) = 56(1 + \sqrt{2})\)

The prism is composed by:

Hence the surface area of the prism, in square inches, is calculated as follows:

\(S = 2 \times 8(1 + \sqrt{2}) + 8 \times 2 \times 7\)

\(S = 128 + 8\sqrt{2}\)

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An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Answer:

He confused the height and diameter

Step-by-step explanation:

Given that,

The radius of the cylinder, r = 2.5 cm

Height of the cylinder, h = 24 cm

The volume of the cylinder is given by the formula as follows :

\(V=\pi r^2 h\\\\=3.14\times (2.5)^2\times 24\\\\=471\ cm^3\)

Vaughn is confused in diameter and the height of the cylinder. He takes radius as 12 cm and height as 5 cm which is wrong. Hence, the correct option is (a).

Answer:

option d

corresponding

Answer:

-21

Step-by-step explanation:

Answer:

w=V/Ih

Step-by-step explanation:

The formula for the volume of a rectangular prism is given as V = lwh.

✓ we are required to solve for "w" and this can be done by making "w" subject of the formula.

w=V/Ih

Hence, formula for " w" is w=V/Ih

The equation of the parabola with focus at f(0 -4) and directrix x = 4 is

y² = 16x.

A parabola is a quadratic function graph. A parabola, according to Pascal, is a circle's projection. Galileo demonstrated that projectiles falling under the influence of uniform gravity have a path known as a parabolic path. Many bodily motions follow a curvilinear route that is shaped like a parabola. In mathematics, a parabola is any mirror-symmetrical planar curve that has an approximate U shape. The goal of this section is to comprehend the derivation of a parabola's standard formula, the several standard forms of a parabola, and the properties of a parabola.

Given

Focus at f(0, -4)

Directrix x = 4

As we know, the equation of a parabola with focus (a, 0) and directrix x = a

y² = 4ax.

y² = 4(4)x

y² = 16x

The equation of the parabola with focus at f(0 -4) and directrix x = 4 is

y² = 16x.

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The solution is: As x approaches negative infinity, f(x) approaches

Positive; Negative.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

According to the question, the following information is given

G(x) = |x - 2| - 3

Based on the above information

As it can be seen that there is a modulus that means if there is any negative value that it can become a positive value.

Therefore the answer is positive and negative.

hence, The solution is: As x approaches negative infinity, f(x) approaches

Positive; Negative.

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An Entity-Relationship Diagram (ERD) reflects a system's key entities and the relationship among them.

Entity Relationship Diagrams, sometimes referred to as ER Diagrams, ER Models, or ERDs, are a sort of structural diagram used in database architecture. The key entities included in the system scope as well as the interactions between these entities are both visually represented by an ERD's various symbols and connectors.

An Entity-Relationship Diagram (ERD) reflects a system's key entities and the relationship among them.

ERDs are commonly used in database design to visually represent the structure of a database system. They depict entities (objects or concepts) and the relationships between them, helping to model the organization of data and the interactions between entities. ERDs typically consist of entities (represented as rectangles), attributes (represented as ovals), and relationships (represented as lines connecting entities).

Therefore, the correct answer is:

Entity-Relationship Diagram.

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Answer:

Rs 16,680

Step-by-step explanation:

Ok

let his income be 100%

he spends 60%

and saves 40%=11,120=Rs 27800=income answer

spend=60%

60÷40×11,120= Rs 16,680=expenditure answer

Answer:

7(5-p)

hope this helps!!

 p.s

 comment if wrong

SOLUTIONS

Solve a given equations or algebraic symbols?

(A)

(B)

(C)

(D)