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Vsevolod [243]
3 years ago
7

Find the 7th term of the sequence 216,-144,96,-64

Mathematics
1 answer:
MrMuchimi3 years ago
3 0

Answer:

Step-by-step explanation:

r=-144/216=-2/3

a_{7}=216(-2/3)^{7-1}\\=216(\frac{-2}{3} )^6\\\\=216(\frac{2^6}{3^6})\\=216\times\frac{64}{729}\\=\frac{512}{27}\\

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Divide 28 cans of soda into two groups so the ratio is 3 to 4
kaheart [24]
First, you add the two ratio numbers to figure out what to divide your 28 cans of soda by.

3=4=7
Next, you divide this amount into your total amount of cans of soda.

28/7=4.

This means that for each one in the ratio, there is 4 cans.  So you multiply both numbers in the ratio by 4.

3*4 = 12
4*4=16

So, your final answer is 12:16, or 12 cans of soda in one group, and 16 cans of soda in the other.
6 0
3 years ago
Help me please!!!! The question is in the picture^^^
Aleksandr [31]

Answer:

7,173

x = 7

Step-by-step explanation:

Within the question it gives two examples.

x = 0 corresponds to 2000

x = 1 corresponds to 2001

If you pay close attention the x-value is always the same as the last digits in the year. So with 2007 the last digit is 7, which then leads us to determine that

x = 7

f (x) = -327 (7) + 9462

f (x) = -2289 + 9462 = 7173

6 0
3 years ago
Are the figures below similar? Why or why not? Determine whether the triangles shown in the image are similar.
Vika [28.1K]

Answer:

B) no, because the corresponding angles are not congruent

Step-by-step explanation:

Similar triangles must have proportional sides, as well as congruent corresponding angles. In this instance, we can see that the angles are not <em>congruent</em>, and so there is no need to solve for proportion.

~

3 0
3 years ago
Read 2 more answers
The inverse, f'(x), of f(x) =
astraxan [27]

Step-by-step explanation:

Given

f(x) =  \frac{x + 5}{x}

So

f(2) = \frac{2 + 5}{2}  \\  =  \frac{7}{2}

Now

{f}^{ - 1} (x) =  \frac{5}{x - 1}

So

{f}^{ - 1} (2) =  \frac{5}{2 - 1} \\  =  \frac{5}{ 1}   \\  = 5

Hope it will help :)❤

7 0
3 years ago
Will give brainlesr please help im 25% blind
My name is Ann [436]

Answer:

Option D

Step-by-step explanation:

the height of the first rectangle ( 30 ) over the height of the other rectangle     ( 3 )  is 30/3 and equals 10

the length of the first rectangle ( 60 ) over the length of the second rectangle  ( 6 )  is 60/6 and equals 10

the ratio of the sides of both rectangles are equivalent therefore the are similar

3 0
3 years ago
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