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beks73 [17]
3 years ago
15

Leila is going for a run. She runs at a speed of 5 miles per hour for 12.5

Mathematics
1 answer:
Ksivusya [100]3 years ago
6 0
She ran for 2 and a half hours 
12.5/5=2.5

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Step-by-step explanation:idk

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The Pacific halibut fishery has been modeled by the differential equation dy dt = ky 1 − y K where y(t) is the biomass (the tota
Dafna1 [17]

Answer:

a. The biomass weighs 2.30 * 10^7 kg after a year

b. It'll take 2.56 years to get to 4*10^7kg

Step-by-step explanation:

a.

k = 0.78,K = 6E7 kg

Given

dy/dt = ky(1- y/K)

Make ky dt the subject of formula

ky dt = dy/(1-y/K) --- make k dt the subject of formula

k dt = dy/(y(1-y/K))

k dt = K dy / y(K-y)

k dt = ((1/y) + (1/(K-y)))dy ---- integrate both sides

kt + c = ln(y/(K-y))

Ce^(kt) = y/(K-y)

Substitute the values of k and K

Ce^(0.78t) = y/(6*10^7 - y) ----- (1)

Given that y(0) = 2 * 10^7kg

(1) becomes

Ce^(0.78*0) = (2 * 10^7)/(6*10^7 - 2*10^7)

Ce° = (2*10^7)/(4*10^7

C = 2/7

Substitute 2/7 for C in (1)

2/7e^0.78t = y/(6*10^7 - y) ---(2)

We're to find the biomass a year later

So, t = 1

2/7e^0.78 = y/(6*10^7 - y)

0.62 = y/(6*10^7 - y)

y = 0.62(6*10^7 - y)

y = 0.62*6*10^7 - 0.62y

y + 0.62y = 0.62*6*10^7

1.62y = 0.62*6*10^7

1.62y = 3.72 * 10^7

y = 2.30 * 10^7kg.

Hence, the biomass weighs 2.30 * 10^7 kg after a year

b.

Here, we're to calculate the time it'll take the biomass to get to 4*10^7 kg

Substitute 4*10^7 for y in (2)

2/7e^0.78t = 4*10^7/(6*10^7 - 4*10^7)

2/7e^0.78t = 4*10^7/2*10^7

2/7e^0.78t = 2

e^0.78t = (2*7)/2

e^0.78t = 2

t = 2 * 1/0.78

t = 2.56 years

Hence, it'll take 2.56 years to get to 4*10^7kg

8 0
3 years ago
Divide the number 720 into the following Ratios<br><br>2:1:3<br><br>5:4​
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Answer:

Ratio 1 = a(240

=b)120

=c)360

Ratio 2=a)400

=b)320

Step-by-step explanation:

On both of the ratios you first add them then divide one by one like this for example 2+1+3= 6

then 2/6 ÷720 = 120 ×2 =240 then you do this to the other numbers as well.

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• Each number on a number cube is a possible result, or _______________, of rolling the cube.
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Ratio or outcome maybe?

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Brainliest ! 40 points , pls answer all or don't answer
MAVERICK [17]

Answer:

The answer to your question is below

Step-by-step explanation:

1.- Find the volume of the cylinder

Data

diameter = 9 cm

radius = 4.5 cm

height = 15 cm

Formula

   V = πr²h

   V = π(4.5)²(15)

  V = 303.75π         This is te answer for the volume in terms of π

       = 952.78 cm³                

2.- Find the volume of the cylinder

height = 40 yd

radius = 12 yd

Formula

   V = πr²h

   V = π(12)²(40)

   V = 5760π              This is te answer for the volume in terms of π

       = 18086.4 cm³

3.- What is the height .......

height = q

side length = r

4.- Volume of a pyramid

    Volume = Area of the base x height

Area of the base = 11 x 11 = 121 cm²

    Volume = 121 x 18

   Volume = 2178 cm³

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