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3 years ago

Please help (a figure is made up of a square and two semicircles)

Mathematics

1 answer:

vekshin13 years ago

7 0

Answer:

73.132 is the perimeter

Step-by-step explanation:

The perimeter of the square is 32 because 8x4.

The perimeter of the semicircle is 20.566 and times by 2 as there are 2 is 41.132.

41.132 + 32 = 73.132

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A scientist begins with 250 grams of a radioactive substance. After 250 minutes, the sample has decayed to 32 grams. Rounding to

s2008m [1.1K]

Answer:

Part 1 : $A=250 e^{-0.008223t}$

Part 2 : Half life is 84 minutes ( approx )

Step-by-step explanation:

Part 1 : Suppose the function that shows the amount( in grams ) of the substance after t minutes,

$A=A_0 e^{kt}$

If t = 0 min, A = 250 grams,

$250=A_0 e^{0}$

$\implies A_0 = 250$

If t = 250, A = 32 grams,

$32 = A_0 e^{250k}$

$32 = 250 e^{250k}$

$0.128 = e^{250k}$

Taking ln both sides,

$\ln(0.128) = 250k$

$\implies k =\frac{\ln(0.128)}{250}=-0.008223$

Hence, the equation that shows this situation,

$A=250 e^{-0.008223t}$

Part 2 : If A = 250/2 = 125,

$125 = 250 e^{-0.008223t}$

$0.5 = e^{-0.008223t}$

Taking ln both sides,

$\ln(0.5) = -0.008223t$

$\implies t =\frac{\ln(0.5)}{-0.008223}\approx 84$

Therefore, the half life of the substance would be 84 minutes.

8 0

3 years ago

Please answer. Thanks!

ahrayia [7]

Answer:

every single option is a deductive reasoning as all the above hypothesis are correct.

4 0

3 years ago

Janae has a soap bottle that has $474$ mL of liquid soap. Each push of the pump uses $8$ mL of soap. There needs to be at least

bixtya [17]

Answer:

53 pushes

Step-by-step explanation:

Total Volume of soap = 474 mL

Volume per push = 8mL

Mimimum volume required = 50mL

The equation which represents the number of push, x that can be made :

Total volume = minimum volume + (volume per push * number of pushes)

Total volume = 50 + (8 * x)

474 ≤ 50 + 8x

474 - 50 ≤ 8x

424 ≤ 8x

53 ≤ x

The number of pushes that can be made = 53

6 0

3 years ago

Help me please been trying to find an answer to these questions?

AleksandrR [38]

Answer:

tricky ill be right back

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

An unopened cereal box contains `15/28` cubic foot of cereal. If the box is full, and the length and height of the box are `5/7`

VikaD [51]

Answer:

1/2ft

Step-by-step explanation:

15/28=(5/7)(1 1/2)(w)

15/28=(5/7)(3/2)w

15/28=(15/14)w

(15/28)/(15/14)=w

(15/28)*(14/15)=w

w=14/28

w=1/2 ft

4 0

4 years ago