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3 years ago

192, 144, 108,…. Find the recursive and explicit formula

Mathematics

1 answer:

lapo4ka [179]3 years ago

6 0

Answer:

Explicit: $a_n = 192 * (3/4)^{n-1}$

Recursive: $a_n = a_{n-1} * (3/4)$

Step-by-step explanation:

Common Ratio ( r ): 144/192 = 3/4 (0.75)

Geometric Explicit:

$a_n = a_1 * r^{n-1}$

$a_n = 192 * (3/4)^{n-1}$

Geometric Recursive:

$a_n = a_{n-1} * r$

$a_n = a_{n-1} * (3/4)$

Hopefully this helped!

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Lisa runs 3 miles in 28 minutes. At the same rate, how many miles would she run in 42 minutes? How do I solve???

xxMikexx [17]

Answer:

About 4.5

Step-by-step explanation:

First, divide 28 by 3, round to closest number (2 numbers after the decimal) then take 42 divided by that number (9.33), and you get about 4.5

Hope this helped!

8 0

3 years ago

Bryan is asked to write an inequality to represent the graph.

Fittoniya [83]

The error that Bryan has done in this inequality is that he included –14 in his solution set.

<h3>How to point out the mistake made</h3>

What Bryan has to do would be to write this inequality in such a way that the variable would appear on the left.

But the symbol that he has chosen does not move in this same direction as the graph.

The -14 should not be inclusive in the graph because it is not a part of the graph solution.

He used the wrong number in this inequality.

Read more on inequalities here:

brainly.com/question/24372553

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7 0

2 years ago

Find m A.)38<br> B.)22<br> C.)52<br> D.)12

sp2606 [1]

Answer:

x =12

Step-by-step explanation:

The two angles add to 90 degrees

4x+4 + 5x-22 = 90

Combine like terms

9x - 18 = 90

Add 18 to each side

9x -18+18 = 90+18

9x = 108

Divide each side by 9

9x/9 = 108/9

x =12

8 0

3 years ago

Read 2 more answers

Kiran is flying a kite He gets tired, so he stakes the kite into the ground. The kite is on a string that is 12 feet long and ma

Alexus [3.1K]

Answer: Approximately 8.49 feet

==================================================

Explanation:

Draw a right triangle. The reference angle is between the ground and the kite string (aka hypotenuse). The hypotenuse is 12 and the side opposite the reference angle is x.

Refer to the diagram below.

We'll use the sine rule to find x

sin(angle) = opposite/hypotenuse

sin(45) = x/12

12*sin(45) = x

x = 12*sin(45)

x = 8.48528137423857

x = 8.49

This value is approximate.

Make sure your calculator is in degree mode.

I rounded to 2 decimal places, but feel free to round however you need if your teacher instructs otherwise.

3 0

3 years ago

The length of each side is quadrupled. How many times larger is the new area when compared to the original?

GaryK [48]

16 times larger is the new area when compared to the original.

Given that, the length of each side of the square is quadrupled.

We need to find how many times larger is the new area when compared to the original.

<h3>What is the area of a square?</h3>

A square is a closed two-dimensional shape with four equal sides and four equal angles. The four sides of the square form the four angles at the vertices. The sum of the total length of the sides of a square is its perimeter, and the total space occupied by the shape is the area of the square. The formula to calculate the area of a square is a².

Let the length of each side of the square be x.

Then the length of each side of the new square will be 4x.

Now, the area of the original square = x²

The area of the new square = (4x)² = 16x²

So, the new square = 16 × the original square

Therefore, 16 times larger is the new area when compared to the original.

To learn more about the area of a square visit:

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5 0

2 years ago