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3 years ago

13

Jared is going to plant 20 small plants around the edge of a circular garden

1 answer:

Rufina [12.5K]3 years ago

3 0

Answer:

1 every 2.5 feet

Step-by-step explanation:

20 divided by 8 20 being the plants 8 being the length gives u 2.5

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5. A tank initially contains 20 lb of salt dissolved in 200-gallon of water. Starting at time t = 0, a solution containing 0.5 l

sladkih [1.3K]

Answer:

(a) Amount of salt as a function of time

$A(t)=100-80e^{-0.02t}$

(b) The time at which the amount of salt in the tank reaches 50 lb is 23.5 minutes.

(c) The amount of salt when t approaches to +inf is 100 lb.

Step-by-step explanation:

The rate of change of the amount of salt can be written as

$\frac{dA}{dt} =rate\,in\,-\,rate\,out\\\\\frac{dA}{dt}=C_i*q_i-C_o*q_o=C_i*q_i-\frac{A(t)}{V}*q_o\\\\\frac{dA}{dt}=0.5*4-\frac{A(t)}{200}*4\\\\\frac{dA}{dt} =\frac{100-A(t)}{50}=-(\frac{A(t)-100}{50})$

Then we can rearrange and integrate

$\frac{dA}{dt}= -(\frac{A(t)-100}{50})\\\\\int \frac{dA}{A-100}=-\frac{1}{50} \int dt\\\\ln(A-100)=-\frac{t}{50}+C_0\\\\ A-100=Ce^{-0.02*t}\\\\\\A(0)=20 \rightarrow 20-100=Ce^0=C\\C=-80\\\\A=100-80e^{-0.02t}$

Then we have the model of A(t) like

$A(t)=100-80e^{-0.02t}$

(b) The time at which the amount of salt reaches 50 lb is

$A(t)=100-80e^{-0.02t}=50\\\\e^{-0.02t}=(50-100)/(-80)=0.625\\\\-0.02*t=ln(0.625)=-0.47\\\\t=(-0.47)/(-0.02)=23.5$

(c) When t approaches to +infinit, the term e^(-0.02t) approaches to zero, so the amount of salt in the solution approaches to 100 lb.

7 0

3 years ago

Corey bought 2 1/2 liters of paint for $60<br> What was the cost per liter of paint?

Rus_ich [418]

$24 you divide 60 by 2 1/2

4 0

4 years ago

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Fifteen more than 3 times a number is 33. What is the equation and solve

kati45 [8]

Answer:

x = 6

Step-by-step explanation:

15 more represents “+15”

3 times a number represents “3*x” which is written as “3x”

So fifteen more than 3 times a number is 33 would be written as;

3x + 15 = 33

Now solve for x using algebra;

3x = 33 - 15

3x = 18

x = 18 / 3

<u>x = 6</u>

Hope this helps!

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3 years ago

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What possible transforms are shown below? Can be more than one answer

kobusy [5.1K]

If the right box is the original it would be B and D, however if it is the left box being the original, it would be just B.

7 0

3 years ago

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Please need help asap!!

Sidana [21]

3/15 equals 1/5 because 3/3=1 and 15/5=5. So B is the correct answer. 1/5

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4 years ago

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