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devlian [24]
3 years ago
8

Aina must choose a number between 61 and 107 that is a multiple of , 23, and 9 .

Mathematics
1 answer:
Sholpan [36]3 years ago
7 0
The answer is 86. Hope this helps.
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Newton's law of cooling is:
Mnenie [13.5K]

Answer:

t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr

So it would takes approximately 6.9 hours to reach 32 F.

Step-by-step explanation:

For this case we have the following differential equationÑ

\frac{du}{dt}= -k (u-T)

We can reorder the expression like this:

\frac{du}{u-T} = -k dt

We can use the substitution w = u-T and dw =du so then we have:

\frac{dw}{w} =-k dt

IF we integrate both sides we got:

ln |w| = -kt +C

If we apply exponential in both sides we got:

w = e^{-kt} *e^c

And if we replace w = u-T we got:

u(t)= T + C_1 e^{-kt}

We can also express the solution in the following terms:

u(t) = (T_i -T_{amb}) e^{kt} +T_{amb}

For this case we know that k =-0.15 hr since w ehave a cooloing, T_{i}= 70 F, T_{amb}=11F, we have this model:

u(t) = (70-11) e^{-0.15t} +11

And if we want that the temperature would be 32F we can solve for t like this:

32 = 59 e^{-0.15 t} +11

21=59 e^{-0.15 t}

\frac{21}{59} = e^{-0.15 t}

If we apply natural logs on both sides we got:

ln (\frac{21}{59}) =-0.15 t

t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr

So it would takes approximately 6.9 hours to reach 32 F.

7 0
3 years ago
Please help in finding x.
inna [77]

Answer:

x=20

Step-by-step explanation:

Square both sides

4+x/6=4

4+x=4*6

x=24-4

x=20

5 0
3 years ago
Read 2 more answers
Write the point slope form of the given line that passes through points (-4,-1) and (3,-3). Identify (x1,y1) as (-4,-1) include
Masteriza [31]
Y-y1=m(x-x1)

find slope
(y2-y1)/(x2-x1)

so
(-4,-1)
(3,-3)
slope=(-3-(-1))/(3-(-4))=(-3+1)/(3+4)=-2/7

y-(-1)=-2/7(x-(-4))
y+1=-2/7(x+4)
6 0
3 years ago
Which scale is equivalent to 1 cm to 1 km?
lorasvet [3.4K]

Answer:

When 1 millimeter on the map is equivalent to 1 kilometer on the ground, the map scale is 1:100000.

Step-by-step explanation:

8 0
3 years ago
A 27 foot plece of wire is connected
morpeh [17]
3 .......................
5 0
2 years ago
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