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3 years ago

8

Ms. Adkins had a basket of tomatoes. She used 5/12 of the tomatoes to make soup. She used 2/12 in a salad. What fraction of the

tomatoes are left?

1 answer:

balu736 [363]3 years ago

3 0

She has used 7/12 tomatoes already. She has 5/12 left.

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Enter a recursive rule for the geometric sequence. 6, −18, 54, −162, ...

svlad2 [7]

Answer:

The required recursive formula is:

$a_n=(-3)\times a_{n-1}$

Step-by-step explanation:

We are given a geometric sequence as:

6,-18,54,-162,.....

Clearly after looking at different terms of the sequence we could observe that the sequence is an geometric progression (G.P.) with common ratio= -3 denoted by r.

Let $a_n$ represents the nth term of the sequence.

This means that:

$a_1=6, a_2=-18, a_3=54, a_4=-162,......$

As the common ratio is -3.

so,

$a_1=6\\\\a_2=-18=(-3)\times a_1\\\\a_3=54=(-3)\times a_2\\\\.\\.\\.\\.\\.\\.\\.\\.\\.a_n=(-3)\times a_{n-1}$

Hence, the required recursive formula for the geometric sequence is:

$a_n=(-3)\times a_{n-1}$

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3 years ago

Find the next three terms in the sequence. 3, 9, 27, 81

Aliun [14]

Answer:

243

Step-by-step explanation:

3*3=9*3=27*3=81*3=243*3 etc

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3 years ago

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Solutes in the bloodstream enter cells through osmosis, which is the diffusion of fluid through a semipermeable membrane. Let C

kow [346]

Answer:

since the rate at which concentration inside the cell is proportional to the difference in the concentration of the solute in the blood stream and the concentration within the cell, then the rate of change of concentration within the cell is equals to K(L-C).

Thus, the required differential equation is Δc/Δt = K( L - C ).

Step-by-step explanation:

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3 years ago

Can SOMEONE PLEASE HELP ME WILL GIVE 30 POINTS AND BRAINLIEST!!!!!

earnstyle [38]

Answer:

Hope i helped :)

Step-by-step explanation:

8) T-V =24

24 -6 =18

2x-18 =18

2x=0

x= 0/2

x=0

9)

*LMK

*L-K=x+3

*L-M=6x-10

*M-K= 3x-3

L-M + M-K = 6x -10 + 3x -3 = 9x -13

10 and 11)

Both lines are horizontal

both lines consist of intervals due to having 2 points on one line making it a distance between 2 points.

they are also concurrent lines because more then 3 lines pass through one point

they are also intersecting lines because they cross over each other

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3 years ago

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A rectangular pool is to be built on a lot that measures 20 m by 12 m. A wooden deck of uniform width, equal to the area of the

frutty [35]

The length and breadth(width) of the pool are

$l\approx15.7m\text{ and }b\approx7.7m$

Let

$l=\text{length of the side of the pool}\\b=\text{breadth of the pool side}\\w=\text{the width of the strip of deck surrounding the pool}$

From the question, we can build the following relationships

$l+2w=20\\b+2w=12$

subtracting to eliminate $w$ (we do not even need it!)

$l-b=8\\b=l-8$

we can also build another relationship from the question. Since the area of the strip equals the area of the pool:

$lb+lb=2lb=20\times 12\\lb=120$

We have two unknowns, $l$ and $b$ . Eliminate $b$

$lb=120\\l(l-8)=120\\l^2-8l-120=0$

If we solve the quadratic equation for $l$ , we get

$l=4+2\sqrt{34}\approx 15.7m$

and

$b=l-8\\b=(4+2\sqrt{34})-8\\b=2\sqrt{34}-4\approx7.7m$

The length and breadth(width) of the pool are

$l\approx15.7m\text{ and }b\approx7.7m$

Learn more about area here: brainly.com/question/1447350

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2 years ago