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pychu [463]
2 years ago
15

For an experiment, a scientist designs a can, 20 cm in height, that can hold water. A

Mathematics
1 answer:
Musya8 [376]2 years ago
8 0

Step-by-step explanation:

The height of the water in the can is a function of time, because it depends on the time the water flows out each minute.

The height h in cm is a function f of time t in minutes since poking the hole, h= f(t)h=f(t). The expression for f(t) = 20. \frac{2}{3}^{t}f(t)=20.

3

2

t

The values of f -> f(0) = 20f(0)=20; f(1) = \frac{40}{3}f(1)=

3

40

; f(2) = \frac{80}{9}f(2)=

9

80

; f(3) = \frac{160}{27}f(3)=

27

160

The value of f(5) = \frac{640}{243}f(5)=

243

640

The level of water approaches close to the x-axis as time moves on. It does not completely approach zero.

Sorry if wrong answer

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3 years ago
An 18 tip is left on an $84 dinner bill. Write 2 different expressions that can be used to determine the total paid for dinner
motikmotik

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4.66666667

Step-by-step explanation:

8 0
3 years ago
I need help on this ASAP so please help
In-s [12.5K]

Answer:

it’s 8 and 2 and 4 and 0

Step-by-step explanation:

this is because when you multiply 2x the x is an 8 so 2 times 8 is 16 then minus 2 is 14 which is greater than -4 same for my other answer

7 0
2 years ago
2.the solution set of x +y =5 and x-y =3
Nataliya [291]

Answer:

Check the solution below

Step-by-step explanation:

2) Given the equation

x +y =5... 1 and

x-y =3 ... 2

Add both equations

x+x = 5+3

2x = 8

x = 8/2

x = 4

Substitute x = 4 into 1:

From 1: x+y = 5

4+y= 5

y = 5-4

y = 1

3) Given

x+3y =15 ... 1

2x+7y=19 .... 2

From 2: x = 15-3y

Substitute into 2

2(15-3y)+7y = 19

30-6y+7y = 19

30+y = 19

y = 19-30

y = -11

Substitute y=-11 into x = 15-3y

x =15-3(-11)

x = 15+33

x = 48

The solution set is (48, -11)

4) given

x/2 +y/3 =0 and x+2y=1

From 1

(3x+2y)/6 = 0

3x+2y = 0.. 3

x+2y= 1... 4

From 4: x = 1-2y

Substutute

3(1-2y) +2y = 0

3-6y+2y = 0

3 -4y = 0

4y = 3

y = 3/4

Since x = 1-2y

x = 1-2(3/4)

x = 1-3/2

x= -1/2

The solution set is (-1/2, 3/4)

5) Given

5.x=1/2 and y =x +1 then solution is

We already know the vkue of x

Get y

y= x+1

y = 1/2 + 1

y = 3/2

Hence the solution set is (1/2, 3/2)

6) Given

3x +y =5 and x -3y =5

From 3; x = 5+3y

Substitute into 1;

3(5+3y)+y = 5

15+9y+y = 5

10y = 5-15

10y =-10

y = -1

Get x;

x = 5+3y

x = 5+3(-1)

x = 5-3

x = 2

Hence two solution set is (2,-1)

6 0
3 years ago
Philip’s meal costs $12.82 at a local restaurant. The server did their job very well and Philip would like to leave a 20% tip. W
Elodia [21]

Answer:

$2.56

Step-by-step explanation:

If you multiply 12.82 by .20, you would get 2.564. Then you just round it up and the answer you get is $2.56. Hope this helps!

8 0
3 years ago
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