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3 years ago

Find the nth term of this quadratic sequence4,9, 16, 25, 36,

Mathematics

1 answer:

hoa [83]3 years ago

3 0

Answer:

$a_{n}$ = (n + 1)²

Step-by-step explanation:

The terms are square numbers with each term shifted to the right by 1

That is 1, 4, 9, 16, 25, 36, .....

Thus to obtain 4 in the first position, then

n = 1 → (1 + 1)² = 2² = 4

To obtain any term add 1 to its position in the sequence, that is

$a_{n}$ = (n + 1)²

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4% of 200,000 is 8,000 multiplied by 30 years would be 240,000 dollars

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3 years ago

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Find the value of x. Round to the nearest tenth.

neonofarm [45]

Answer:

x ≈ 13.7

Step-by-step explanation:

Using the sine ratio in the white right triangle

sin17° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{47}$

Multiply both sides by 47

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3 years ago

PLEASE HELP ! Will reward brainliest

adoni [48]

Law of experimental Data I believe.

Hope that helps!!!

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3 years ago

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Kyra is using rectangular tiles of two types for a floor design. A tile of each type is shown below: Two rectangular tiles, rect

guapka [62]

From the given figure,
the length of segment SP is 5 - 1 = 4,
the length of segment SR is 8 - 1 = 7,
the length of segment QR is 5 - 1 = 4,
the length of segment PQ is 8 - 1 = 7.

The length of segment MJ is 4 - 1 = 3,
the length of segment ML is 8 - 4 = 4
the length of segment KL is 4 - 1 = 3
the length of segment JK is 8 - 4 = 4

segment SP to segment SR is 4 : 7
segment MJ to segment ML is 3 : 4

segment PQ to segment QR is 7 : 4
segment JK to segment KL is 4 : 3

Because the ratio of any corresponding segments of the two rectangles to another segment is not equal, the two rectangles are not similar.

Therefore, the correct statement is "The two tiles are not similar because segment PQ is to segment QR is 7:4 and segment JK is to segment KL is 4:3"

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3 years ago

PLEASE HELPPPPPP. I NEED IT DONEEEEE.

agasfer [191]

Answer:

1. Couples tickets: $8

Individual tickets: $4

2. Song download cost: $2

Movie download cost: $15

Step-by-step explanation:

You can solve both of these questions by doing system of equations.

Let's start with question 1.

There are 2 variables in this equation:

- Couples tickets price: let's represent these with the letter C

- Individual tickets price: let's represent these with the letter K

Writing the two equations would look this these:

5c + 2k = 48

3c + 2k = 32

Next, isolate a variable. I am going to isolate K in the first equation.

$2k = -5c + 48 \\k = -\frac{5}{2}c + 24$

Now that we isolated a variable we can plug that back in to the second equation:

$3c + 2(-\frac{5}{2}c + 24) = 32\\3c - \frac{10}{2}c + 48 = 32\\3c -5c + 48 = 32\\-2c + 48 = 32\\-2c = -16\\c = 8$

We found that c is equal to 8 so we can put that back in to an equation to solve for k.

5(8) + 2k = 48

40 + 2k = 48

2k = 8

k = 4

Therefore, the price for couples tickets is $8 and the price for individual tickets is $4.

Check #1:

5(8) + 2(4) = 48

40 + 8 = 48

48 = 48

3(8) + 2(4) = 32

24 + 8 = 32

32 + 32

Now, let's go on to question 2.

There are 2 variables in this equation:

- Price of songs downloaded: let's represent these with S

- Price of movies downloaded: let's represent these with M

Writing the two equations would look like this:

15s + 11m = 195

15s + 8m = 150

There is a simple way to answer this system, however.

If you change the bottom equations signs to negative you can minus the second equation from the first equation like this:

15s + 11m = 195

-(15s +8m = 150)

Minus them to get this equation:

3m = 45

Solve

m = 15

We have found that each movie download costs $15, now let's plug this back into an equation:

15s + 11(15) = 195

15s + 165 = 195

15s = 30

s = 2

Each song costs $2 to download.

Check #2:

15(2) + 11(15) = 195

30 + 165 = 195

195 = 195

15(2) + 8(15) = 150

30 + 120 = 150

150 = 150

I hope this helps!!

- Kay :)

6 0

3 years ago

Find the nth term of this quadratic sequence4,9, 16, 25, 36,​

Find the nth term of this quadratic sequence4,9, 16, 25, 36,