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3 years ago

What is the cube answer to 24

Mathematics

2 answers:

Igoryamba3 years ago

8 0

It would be 2.88 because the cube root

patriot [66]3 years ago

7 0

Do you mean cube root because the cube root of 24 is 2.88 and other repeating decimals

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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

Can someone please help me with this

galben [10]

Yes thats a function, it passes the vertical line test!

4 0

3 years ago

Read 2 more answers

I’m confused on this one

expeople1 [14]

Hi,

Perimeter AEDCB=3*10+15+20=65 (units)

Ratio of the similitude r*15=21==>r=21/15=1.4

Perimeter RQPTS=65*1.4=91(units)

3 0

3 years ago

The length of tile B is about 3.87298 inches. Which mark on the tape measure is closest to 3.87298 inches? The tape measure is m

vladimir1956 [14]

Answer:

$\frac{62}{16}$

Step-by-step explanation:

We are given that,

Length of the tile = 3.87298 inches.

The markings on the tape are marked in $\frac{1}{16}$ inches.

As, we see that,

$\frac{64}{16}$ = 4 inches.

So, the required mark will be before than $\frac{64}{16}$ mark.

Since, $\frac{62}{16}$ = 3.875

Hence, the mark closest to 3.87298 inches is $\frac{62}{16}$ .

7 0

3 years ago

PLLLZZZ HELP ME !!!! WILL GIVE BRAINLIESTTT!!!

sdas [7]

The interior angles of a 7 sided figure add up to 900o That's because if you pick any vertex of an angle and draw diameters so that you create triangles, you will get 5 triangles. In general the interior angles will add up to (n - 2)*180 where n is the number of sides of a polygon.

So the simple way to do this is to equate the seven angles + x to 900

Equation

x + 125 + 126 + 158 + 120 + 139 + 121 = 900

Solve

x + 789 = 900 Subtract 789 from both sides.

x = 900 - 789

x = 111 <<<<< answer

5 0

3 years ago