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barxatty [35]
3 years ago
5

Which is the solution to the inequality? One-fourth + x less-than StartFraction 5 over 6 EndFraction x less-than StartFraction 7

over 12 EndFraction x greater-than StartFraction 7 over 12 EndFraction x less-than 1 and StartFraction 1 over 12 EndFraction x greater-than 1 and StartFraction 1 over 12 EndFraction
Mathematics
2 answers:
Natalka [10]3 years ago
7 0

Answer

it is c

Step-by-step explanation:

i took the test

g100num [7]3 years ago
5 0

Answer:

A

Step-by-step explanation:

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An object is heated to 100°. It is left to cool in a room that
stepladder [879]

Answer:

Step-by-step explanation:

Use Newton's Law of Cooling for this one.  It involves natural logs and being able to solve equations that require natural logs.  The formula is as follows:

T(t)=T_{1}+(T_{0}-T_{1})e^{kt} where

T(t) is the temp at time t

T₁ is the enviornmental temp

T₀ is the initial temp

k is the cooling constant which is different for everything, and

t is the time (here, it's in minutes)

If we are looking first for the temp after 20 minutes, we have to solve for the k value.  That's what we will do first, given the info that we have:

T(t) = 80

T₁ = 30

T₀ = 100

t = 5

k = ?

Filling in to solve for k:

80=30+(100-30)e^{5k} which simplifies to

50=70e^{5k} Divide both sides by 70 to get

\frac{50}{70}=e^{5k} and take the natural log of both sides:

ln(\frac{5}{7})=ln(e^{5k})

Since you're learning logs, I'm assuming that you know that a natural log and Euler's number, e, "undo" each other (just like taking the square root of something squared).  That gives us:

-.3364722366=5k

Divide both sides by 5 to get that

k = -.0672944473

Now that we have a value for k, we can sub that in to solve for T(20):

T(20)=30+(100-30)e^{-.0672944473(20)} which simplifies to

T(20)=30+70e^{-1.345888946}

On your calculator, raise e to that power and multiply that number by 70:

T(20)= 30 + 70(.260308205) and

T(20) = 30 + 18.22157435 so

T(20) = 48.2°

Now we can use that k value to find out when (time) the temp of the object cools to 35°:

T(t) = 35

T₁ = 30

T₀ = 100

k = -.0672944473

t = ?

35=30+100-30)e^{-.0672944473t} which simplifies to

5=70e^{-.0672944473t}

Now divide both sides by 70 and take the natural log of both sides:

ln(\frac{5}{70})=ln(e^{-.0672944473t}) which simplifies to

-2.63905733 = -.0672944473t

Divide to get

t = 39.2 minutes

3 0
3 years ago
Can someone help me plssssss
Akimi4 [234]

Answer:

16.5

Step-by-step explanation:

5 0
3 years ago
Need helpppp ASAPPP!1!1!1!
nekit [7.7K]
To answer this question, we need to know what like terms are. Like terms are terms whose variables and exponents are the same. The coefficients can be different, though. In this case, the like terms are -a²b and 5a²b (because of the definition above. 
4 0
3 years ago
PLEASE HELP AND FAST!!!
lesya692 [45]
The answer is the top one.
8 0
3 years ago
Jina must choose a number between 49 and 95 that is a multiple of 3, 9. and 12.
emmainna [20.7K]
The answer should be 72 because all the multiples go into that number
72/3=24, 72/9=8, and 72/12= 6
And the number is between 49 and 95
Can u make me brainiest answer after please
4 0
3 years ago
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