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3 years ago

Plz help me out! :) 62 is 50% of what number?

Mathematics

1 answer:

-BARSIC- [3]3 years ago

6 0

Hi, the answer is 31.
50% of 62 = 0.5 × 62 = 31

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Please help I really need this!

Rus_ich [418]

Mark me brainliest plsssssss

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3 years ago

A 100 gallon tank initially contains 100 gallons of sugar water at a concentration of 0.25 pounds of sugar per gallon suppose th

Vsevolod [243]

At the start, the tank contains

(0.25 lb/gal) * (100 gal) = 25 lb

of sugar. Let $S(t)$ be the amount of sugar in the tank at time $t$ . Then $S(0)=25$ .

Sugar is added to the tank at a rate of P lb/min, and removed at a rate of

$\left(1\frac{\rm gal}{\rm min}\right)\left(\dfrac{S(t)}{100}\dfrac{\rm lb}{\rm gal}\right)=\dfrac{S(t)}{100}\dfrac{\rm lb}{\rm min}$

and so the amount of sugar in the tank changes at a net rate according to the separable differential equation,

$\dfrac{\mathrm dS}{\mathrm dt}=P-\dfrac S{100}$

Separate variables, integrate, and solve for S.

$\dfrac{\mathrm dS}{P-\frac S{100}}=\mathrm dt$

$\displaystyle\int\dfrac{\mathrm dS}{P-\frac S{100}}=\int\mathrm dt$

$-100\ln\left|P-\dfrac S{100}\right|=t+C$

$\ln\left|P-\dfrac S{100}\right|=-100t-100C=C-100t$

$P-\dfrac S{100}=e^{C-100t}=e^Ce^{-100t}=Ce^{-100t}$

$\dfrac S{100}=P-Ce^{-100t}$

$S(t)=100P-100Ce^{-100t}=100P-Ce^{-100t}$

Use the initial value to solve for C :

$S(0)=25\implies 25=100P-C\implies C=100P-25$

$\implies S(t)=100P-(100P-25)e^{-100t}$

The solution is being drained at a constant rate of 1 gal/min; there will be 5 gal of solution remaining after time

$1000\,\mathrm{gal}+\left(-1\dfrac{\rm gal}{\rm min}\right)t=5\,\mathrm{gal}\implies t=995\,\mathrm{min}$

has passed. At this time, we want the tank to contain

(0.5 lb/gal) * (5 gal) = 2.5 lb

of sugar, so we pick P such that

$S(995)=100P-(100P-25)e^{-99,500}=2.5\implies\boxed{P\approx0.025}$

5 0

3 years ago

What is the circumference of a circle with area 50cm2. Give your answer to three significant figures.

Mnenie [13.5K]

Answer:

c = 25.1

Step-by-step explanation:

C = 2 $\sqrt{pi A}$

C = 2 $\sqrt{3.14 * 50 }$

C = 25.1

Mark me brainly plz

7 0

3 years ago

Convert the angle 0=17pie/18 radians to degrees. Express your answer exactly.

Anettt [7]

170° is the answer I got hope it helps

4 0

2 years ago

Read 2 more answers

Please answer this correctly

gavmur [86]

Answer:

$17.57

Step-by-step explanation:

well she wants to buy 3 1/2 so you make it improper to, 7/2 so then you make the price of the rainbow paper scrap a fraction, so thatll be 5.02, 502/100, then multiply,

7/2x502/100

3.5x5.02

$17.57

8 0

3 years ago