A student wrote this statement “a triangular prism has a height of 15 inches and a base area of 20 square inches. The volume of the prism is 300 square inches.” Identify and correct the error

23rd term of the given geometrical sequence is [tex]a_{23} = 25(1.8)^{22}[/tex].

Function to represent sequence is [tex]25,25(1.8), 25(1.8)^{2} , 25 (1.8)^{3} , ....... ,25(1.8)^{n}[/tex]

" Geometric sequence is defined as the sequence whose ratio of the consecutive terms is always constant."

Formula used

nth term of the geometric sequence

[tex]a_{n} = a r^{n-1}[/tex]

a = first term

r = common ratio

[tex]a_{n}[/tex] = nth term

According to the question,

First term of the geometric sequence 'a' = 25

Common ratio of the geometric sequence 'r'  = 1.8

Substitute the value in the formula to get 23rd term,

[tex]a_{23} = 25(1.8)^{23-1}[/tex]

⇒[tex]a_{23} = 25(1.8)^{22}[/tex]

Function to represent this sequence

[tex]a, a(r),a(r)^{2} , a (r)^{3} , ....... ,a(r)^{n}[/tex]

= [tex]25,25(1.8), 25(1.8)^{2} , 25 (1.8)^{3} , ....... ,25(1.8)^{n}[/tex]

Hence, 23rd term of the given geometrical sequence is [tex]a_{23} = 25(1.8)^{22}[/tex].

Function to represent sequence is [tex]25,25(1.8), 25(1.8)^{2} , 25 (1.8)^{3} , ....... ,25(1.8)^{n}[/tex]

Learn more about geometrical sequence here

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Answer:

The correct answer is: A

Step-by-step explanation:

x+5

I hope this helps!

Plz mark Brainliest I am trying to rank up!

Have a nice day!

Answer: 2.2

Step-by-step explanation: I am in the test

Answer:

1/3

Step-by-step explanation:

Answer

The Answer to your question in 6

Step-by-step explanation:

The formula to find the area is

r^2 * pi = area

we know that the area is 113.04 and pi = 3.14

so

x^2 * 3.14 = 113.04

divide both sides by 3.14

x^2 = 36

now for the final step we need to find the root of both sides

√x^2 = √36

x = 6

so the radius is 6.

Answer:

Step-by-step explanation:

Answer:

B. 1,040 cubic feet

Step-by-step explanation:

I just took a test with this question and this was the right answer

~Please mark me as brainliest : )

Answer:

I hope this helps

Step-by-step explanation:

Final answer:

The number of playlists that can be created with 38 songs allowing for the repetition of 5 songs is calculated using combinations with repetition, resulting in a total of 850,668 possible playlists.

Explanation:

The question relates to the number of different ways we can create playlists from 38 songs, with the possibility of repeating 5 songs in each playlist. To calculate the number of different playlists that can be made by repeating songs, we need to use combinations with repetition. This is a concept in combinatorics which allows for the selection of items with replacements.

We can represent the problem with a formula used for combinations with repetition: (n + r - 1) choose r, where n is the total number of options (in this case, 38 songs) and r is the number of choices to make (in this case, repeating 5 songs). The formula becomes (38 + 5 - 1) choose 5, which simplifies to 42 choose 5. Using the combination formula, we can compute the total number of possible playlists as follows:

C(42, 5) = 42! / (5!(42-5)!) = 42! / (5!37!) = 850,668

This number represents the total number of playlists we can create with 38 songs, allowing for the repetition of 5 songs on each playlist.

Answer:

Correct answer is D the last on in the pic

The question seems to require using ordered pairs to locate Sam and the theater, but lacks the specific coordinates or context needed for a precise answer. Ordered pairs are essential in geometry for representing positions.

The question seems to pertain to locating positions or objects using ordered pairs, which falls under the domain of algebra and geometry in mathematics. An ordered pair (x, y) is used to define the positions on a plane, with 'x' representing the horizontal component and 'y' representing the vertical component.

Unfortunately, the question lacks specific information about the coordinates of Sam and the theater, making it impossible to provide exact ordered pairs without additional context. In scenarios involving maps or spatial planning such as finding locations in a city or arranging objects with a spatial relation to each other, ordered pairs serve as a crucial means of representation.

Exercises involving ordered pairs deepen understanding of coordinate systems, which are fundamental in geometry and crucial for various applications in science and engineering.

Answer:

p=$500 is the unit price to get maximum revenue

Maximum revenue = $1,000,000

Step-by-step explanation:

the revenue R in dollars is:

[tex]R(p)= -4p^2+4000p[/tex]

To find out the unit price to get maximum revenue we find out the vertex

In the given quadratic equation a=-4 and b= 4000

Formula to find out the x coordinate of vertex is

[tex]x=\frac{-b}{2a}[/tex], plug in the values

[tex]x=\frac{-4000}{2(-4)}[/tex]

x=500

So p=$500 is the unit price to get maximum revenue

Now we find the maximum revenue . Plug in 500 for p in the given equation

[tex]R(p)= -4p^2+4000p[/tex]

[tex]R(500)= -4(500)^2+4000(500)[/tex]

R(500)=1000000

Maximum revenue = $1,000,000

Answer:

the guy is right except number 2

Step-by-step explanation:

if the car turns left that means it went west and since 4th and 3rd street are parallel and King Ave. is a transparent then street 4 and 3 have the same angles. y is 75 and a vertical that means the car makes a 75 degrees angles .

sorry for the bad explanation

Answer: 28.26

Step-by-step explanation: I think it's 28.26, I tried

Answer:

Step-by-step explanation:

hi

Answer:

A

Step-by-step explanation:

All rectangles are parallelograms and all their sides are parallel.

Final answer:

The length of the square's diagonal with side lengths of 7 inches is found using the Pythagorean theorem, leading to a diagonal of approximately 9.899 inches.

Explanation:

To find the length of the square's diagonal when the side lengths are 7 inches, we can use the Pythagorean theorem. The diagonal of a square creates two right triangles, with the diagonal being the hypotenuse. You can think of this as half of the square divided along the diagonal. Each of these triangles has two legs that are each equal to the side of the square and a hypotenuse which is the diagonal we want to find.

The formula for the Pythagorean theorem is a² + b² = c², where a and b are the legs of the right triangle, and c is the hypotenuse. Since the legs are both 7 inches (the side length of the square), we have:

7² + 7² = c²
49 + 49 = c²
98 = c²

This simplifies to:

c = √98
c ≈ 9.899 inches (rounded to three decimal places)

Therefore, the diagonal of the square is approximately 9.899 inches long.

The probability of selecting a black sock is 5/6 and there are 24 socks in total. By setting up and solving a simple equation, we find that there are 20 black socks in the drawer.

This question is about the concept of probability in mathematics. The probability of an event occurring is calculated by the number of desired outcomes divided by the total number of possible outcomes. In this case, we are given that the probability of reaching into a drawer without looking and magically pulling out a black sock is 5/6. With a total of 24 socks in the drawer, to figure out how many socks are black, we can set up a simple equation where x represents the number of black socks. Thus, x/24 = 5/6. Solving this equation, we get x = (5/6) * 24, which simplifies to x = 20. So, there are 20 black socks in the drawer. That's indeed a lot of black socks!

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Answer:

B

Step-by-step explanation:

Answer:

THE ANSWER IS B OR 12

Step-by-step explanation: