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3 years ago

6

Janine borrowed $80 from her parents for a new headset of headphones she paid them $20 right and integer to represent how much s

he still owes her parents

1 answer:

goldfiish [28.3K]3 years ago

5 0

Answer:

Did you try before asking? I mean you have to try do curse me I'm only helping

Step-by-step explanation:

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Which statement is NOT true? A. All isosceles triangles are also equilateral triangles. B. All equilateral triangles are also is

Alecsey [184]

Hello there!

The statement that would NOT be true would be option A. All isosceles triangles are also equilateral triangles. The rest of the statements would be TRUE.

Hope this helps and have a great day! :)

5 0

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 <em>P</em> 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 <em>S</em>.

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

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

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

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

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

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

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

Use the initial value to solve for <em>C</em> :

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

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

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 <em>P</em> such that

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

5 0

3 years ago

5×1+3×1/10+8×1/100+4×1/1000 write in word form

nydimaria [60]

Answer:

bleh

Step-by-step explanation:

5×1+3×1/10 +8×1/100+4×1/1000 write i dont konw i am just doing this for points

5 0

3 years ago

Read 2 more answers

Please help and thank you

tatyana61 [14]

Answer:

24

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Write as a repeating decimal using bar notation. Show your work.<br><br> 5/11

MrMuchimi

5/11
11 goes into 5 zero times (0.)
11 goes into 50 four times with a remainder of 6 (0.4)
11 goes into 60 five times with a remainder of 5 (0.45)
11 goes into 50 four times with a remainder of 6 (0.454)
11 goes into 60 five times with a remainder of 5 (0.4545)
The answer is .45 with a bar on top of both the 4 and the 5.

7 0

3 years ago