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goblinko [34]
3 years ago
5

Click the picture that I sent you

Mathematics
1 answer:
Digiron [165]3 years ago
5 0

Answer: 1211.6585 years

<u>Step-by-step explanation:</u>

The equation for exponential growth is: P=P_oe^{kt}

  • P: final population
  • P₀: initial population
  • k: rate of decay (or growth)
  • t: time

Use the half life information to find k:

\dfrac{1}{2}P_o=P_oe^{k(800)}\\\\\\\dfrac{1}{2}=e^{800k}\qquad \rightarrow \qquad \text{divided both sides by}\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=800k\qquad \rightarrow \qquad \text{applied ln to both sides}\\\\\\\dfrac{ln(\frac{1}{2})}{800}=k\qquad \rightarrow \qquad \text{divided both sides by 800}\\\\\\\large\boxed{-0.000867=k}

Next, input the information (65% decayed = 35% remaining) and the k-value to find your answer.

.35P_o=P_oe^{-0.000867t}\\\\\\.35=e^{-0.000867t}\\\\\\ln(.35)=-0.000867t\\\\\\\dfrac{ln(.35)}{-0.000867}=t\\\\\\\large\boxed{1211.6585=t}

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KTMN is a parallelogram . prove it .please help I need it by tomorrow no links please​
Sav [38]

Answer:

This is a paralleogram because it machtes the defintion ofa four-sided plane rectilinear figure with opposite sides parallel.

Step-by-step explanation:

5 0
2 years ago
Please help. If you answer correctly and give an explanation I'll give you 5 stars, thanks, and brainliest.
timama [110]

The solution of the equation is  x=\frac{11}{7}

Step-by-step explanation:

To simplify an equation of x

  • Simplify each side of the equation
  • Collect x in side and the numerical terms in the other side
  • Find the value of x

∵ The equation is 2x + \frac{1-x}{4}=3

- Multiply all terms of the equation by 4 to cancel the denominator

 of the 2nd term in the left hand side

∵ The equation is 4(2x) +4 (\frac{1-x}{4})=4(3)

∴ 8x + (1 - x) = 12

∴ 8x + 1 - x = 12

- Add like terms

∴ (8x - x) + 1 = 12

∴ 7x + 1 = 12

- Subtract 1 from both sides

∴ 7x = 11

- Divide both sides by 7

∴ x=\frac{11}{7}

The solution of the equation is  x=\frac{11}{7}

Learn more:

You can learn more about the solution of an equation in brainly.com/question/11306893

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2 years ago
Marina is solving the equation below by using the multiplicative inverse, or the reciprocal. One-fifth (x minus 2) = 20 By which
miskamm [114]

Answer:

Step-by-step explanation:

Given the equation:

1/5 × (x - 2) = 20

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By multiplying both sides by the value of 5.

That will give,

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6 0
3 years ago
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One of your employees is bidding on a carpet installation job. They estimate that it will take 3 hours to install 12 square yard
Charra [1.4K]

Answer:

No, the bid is not correct.

Step-by-step explanation:

One of your employees is bidding on a carpet installation job.

They estimate that it will take 3 hours to install 12 square yards of carpeting.

we know that 1 square yard= 9 square foot.

12 square yard= 12×9 square foot=108 square foot

i.e. it takes 3 hours to carpet 108 square foot.

Hence time taken to carpet 1 square foot= \dfrac{3}{108} hour

Now the dimension of room is:

11' 6"× 12' 9" i.e. we convert both the units to foot as:

1 foot= 12 inch

11'6"=11+(6/12)=11.5  foot.

and 12'9"=12+(9/12)=12.75 foot.

Hence, dimension of room=11.5 foot×12.75 foot

Hence area of room=11.5×12.75=146.625 square foot.

Time to carpet 146.625 square foot=

\dfrac{3}{108}\times 146.625 hour

=4.0729 hour

But it is given that it takes 12.3 hours to install the carpet.

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2 years ago
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