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Masteriza [31]
3 years ago
7

HELP HELP HELP HELP HELP HELL

Mathematics
1 answer:
vitfil [10]3 years ago
3 0

Answer:

it sould be D because rise over run.

Step-by-step explanation:

at the point its 5/6 and the only answer with that fraction is D. or it depends because if you're looking for the begening of the dotted lines then it's C .but if you're looking for end point then it's D. if you don't know ask me and ill see what i can do

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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
An iphone costs $1000 and is on sale for 20% off
vfiekz [6]

Answer:

200

Step-by-step explanation:

20 X 1000= 20000 divided by 100

6 0
3 years ago
Read 2 more answers
Why the great awakening was important to people?
katrin2010 [14]
Well is this like history 

4 0
3 years ago
Place the following in order from least to greatest. 8,000,000 mm, 5 km, 7000,000 cm, 6,000 m
Nutka1998 [239]

Answer: 5km, 6000m, 8,000,000 mm, 7000000 cm

Step-by-step explanation:

Note that:

1km = 1,000,000mm

1m = 1000mm

1cm = 10mm

Therefore,

5 km = 5 × 1,000,000mm = 5,000,000mm

7000,000 cm = 7,000,000 × 10 = 70,000,000mm

6,000 m = 6000 × 1000 = 6,000,000mm

Therefore, from the least to the greatest will be:

5km, 6000m, 8,000,000 mm, 7000000 cm

5 0
3 years ago
What are irrational numbers​
eduard
In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers.
7 0
3 years ago
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