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evablogger [386]
3 years ago
5

What is the answer to -1 2/3 + 2 3/4 =

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
4 0

Answer:

-12/3 + 23/4

-4 + 5.75

1.75

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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
How many fifieths would three theths equal
kari74 [83]
45 you need to fix the question for example what does theths mean
3 0
3 years ago
A rectangular bathroom tile is 2 1/3 times as wide as it is tall.If the tile is 5cm tall,how wide is it?
Neko [114]
The width of the rectangular bathroom tile is 11 and 2/3 centimeters. Taft is because 2x5 is 10 cm and 1/3x5 is 5/3. 5/3 simplified as a mixed number is 1 and 2/3. 1 and 2/3 combined with 10 is 11 and 2/3 centimeters.
8 0
3 years ago
Find the value of this expression if x=-7. x^2 -1 /x+4
belka [17]

Answer:

-16

Step-by-step explanation:

x^2 -1 /x+4

By putting the value of x in the expression as x = -7

= (-7)^2 - 1/ -7 +4

= (+49) - 1/ -3

= 48/-3

= -16

6 0
3 years ago
What are the number of real zeros and complex zeros?
Karo-lina-s [1.5K]

Answer:

A

Step-by-step explanation:

There is/are :-

  • 1 real zero
  • 3 complex zeros
4 0
2 years ago
Read 2 more answers
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