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KiRa [710]
3 years ago
8

Pls answer these 2 show your work

Mathematics
1 answer:
lyudmila [28]3 years ago
5 0
Which two there’s no picyure
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What is a formula for the nth term of the given sequence?<br> 36, 24, 16...
SpyIntel [72]

Answer:

The formula to find the nth term of the given sequence is 54 · \frac{2}{3} ^{n}

Step-by-step explanation:

The formula for nth term of an geometric progression is :

a_{n} = \frac{a_{1}(r^{n})}{r}

In this example, we have a_{1} = 36 (the first term in the sequence) and

r = \frac{2}{3} (the rate in which the sequence is changing).

Knowing what the values for r and a_{1} are, now we can solve.

a_{n} = \frac{a_{1}(r^{n})}{r} = \frac{36 (\frac{2}{3} ^{n}) }{\frac{2}{3} } = 54 · \frac{2}{3} ^{n}

Therefore, the formula to find the nth term of the given sequence is

54 · \frac{2}{3} ^{n}

3 0
3 years ago
Find the slope of the line that passes through the points (10, 9) and (2, 4).
solniwko [45]

Answer:

slope = 5/8

Step-by-step explanation:

use the slope formula to find the slope: \frac{y_2 - y_1}{x_2-x_1}

\frac{9-4}{10-2} = \frac{5}{8}

6 0
3 years ago
Sam is installing a walkway around a rectangular flower patch in his garden. The flower patch is 12 feet long and 6 feet wide. T
rodikova [14]

In the function, the thing that is represented is the area of the walkway along the length of the flower patch.

<h3>How to illustrate the function?</h3>

From the information given, Sam created function A to represent the total area taken up by the flower patch and walkway by multiplying the functions modeling the new total length and width.

Therefore, the thing that is represented is the area of the walkway along the length of the flower patch.

Learn more about functions on:

brainly.com/question/25638609

#SPJ1

4 0
2 years ago
Which of the following is a way that scientific advancements have benefited society? a. increased energy efficiency b. increased
PilotLPTM [1.2K]

The answer is a. increase energy efficiency.  This means that we now use less energy to do more thanks to many advances in technology.  It could also be due to the use of alternative sources of power such as the sun or win.  These new sources provide energy without causing pollution.

tbh google

7 0
3 years ago
Caswell started studying how the number of branches on his tree grows over time. The relationship between the elapsed time ttt,
ipn [44]

Answer:

t =log(20) / 0.3 = 10*log(20) / log(1,000) - years - when the tree will have 100 branches.

Step-by-step explanation:

100 = 5 * 10^(0.3t), solve for t

Divide both sides by 5:

20 =10^(0.3t)

Take the log of both sides:

0.3t =log(20)

Divide both sides by 0.3:

Multiply the RHS by 10 / 10

t =log(20) / 0.3 = 10*log(20) / log(1,000) - years - when the tree will have 100 branches.

8 0
3 years ago
Read 2 more answers
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