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mrs_skeptik [129]
3 years ago
6

CAN SOMEONE PLEASE WRITE AN EQUATION TO THIS! I WOULD VERY MUCH APPRECIATE IT!

Mathematics
1 answer:
Tresset [83]3 years ago
7 0
Y=-1/3x-4
is that what you meant? as in y=mx+b form?
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What’s the fraction of 65 percent
Shtirlitz [24]
65% as a fraction is 65/100 which can also be reduced to 13/20
4 0
3 years ago
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
What number is 44% of 25
AysviL [449]
44 percent of 25 is 11 to get percentage u would take 44 and divide it by a hundred and u would get .44 and then u would multiply that by 25 and u get 11

8 0
3 years ago
Read 2 more answers
The function y = -3x + 5 is transformed by reflecting it over the y axis. What is the equation of the new function? *
SpyIntel [72]

Answer:

x= −1/3 y+5/3

Step-by-step explanation:

Let's solve for x.

y=−3x+5

Step 1: Flip the equation.

−3x+5=y

Step 2: Add -5 to both sides.

−3x+5+−5=y+−5

−3x=y−5

Step 3: Divide both sides by -3.

−3x

−3

=

y−5

−3

x=

−1

3

y+

5

3

4 0
3 years ago
I have no idea how to do this. HELP ASAP (# 14)
NARA [144]
Sorry i don’t understand how to do C but this is what i have and my work hope it helps :)

4 0
3 years ago
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