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Varvara68 [4.7K]
2 years ago
9

ian went away for 6 days to space camp.his parents received 12 emails from him while he was away.what is the rate of ians emails

for each day at space camp?
Mathematics
1 answer:
Lena [83]2 years ago
5 0

Answer:

2 mails everday

Step-by-step explanation:

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A pan of warm water (46∘ Celsius) was put in a refrigerator. After 15 minutes, the water's temperature was 27∘ C; 15 minutes aft
Cloud [144]

Answer:

The refrigerator was at around 13 ∘C

Step-by-step explanation:

Newton's Law of Cooling:

The rate of change of a body temperature  (amount of heat loss/time of loss) is directly proportional to the difference between its own temperature and the surroundings.

\frac{T(t2)-T(t1)}{t2-t1} = -h (T(t2) - Tenv)

T ⇒ temperature

t ⇒ time

Tenv ⇒refrigerator temperature

\frac{T(t2)-T(t1)}{t2-t1} ⇒ rate of change of he temperature

-h ⇒ constant of proportionality (negative because the temperature is decreasing inside the refrigerator)

We have 3 points:

time (minutes) - Temperature (∘ C)

0 (when the pan was put in the refrigerator) - 46

15 (after 15 minutes) - 27

30 (15 minutes after the first 15 minutes) - 19

\frac{27 - 46}{15 - 0} = -h (27 - Tenv)

\frac{19 - 27}{15 - 0} = -h (19 - Tenv)

Now we have a system of two equations and two variables

\frac{-19}{15} = -h (27 - Tenv)\\ \frac{19}{15} = h (27 - Tenv)\\ \frac{19}{15(27 - Tenv)} = h

\frac{19 - 27}{15 - 0} = -h (19 - Tenv)\\\frac{-8}{15} = -h (19 - Tenv)\\\frac{8}{15} = h (19 - Tenv)\\\frac{8}{15} = \frac{19}{15(27 - Tenv)} (19 - Tenv)\\8(27 - Tenv) = 19 (19 - Tenv)\\216 - 8 Tenv = 361 - 19 Tenv\\19 Tenv - 8 Tenv = 361 - 216\\11 Tenv = 145 \\Tenv = 145/ 11\\Tenv = 13. 18

The refrigerator was at around 13 ∘C

6 0
3 years ago
NEED HELP PLEASE!
USPshnik [31]

Answer:

(x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16

Step-by-step explanation:

Complex numbers identity:

The complex numbers identity is:

i^2 = -1

Square of the sum:

(x + y)^2 = x^2 + 2xy + y^2

In this question:

(x + (3+5i))^2

x^2 + 2x(3+5i) + (3+5i)^2

x^2 + 6x + 10xi + 9 + 30i + 25i^2

x^2 + 6x + 9 + (10x+30)i - 25

x^2 + 6x + (10x+30)i - 16

So

(x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16

5 0
2 years ago
Write 31/50<br> As a percentage and a decimal
swat32
Divide 31 by 50 and that will give you .62 move the decimal point two places to the right and that gives you 62%. :)
3 0
3 years ago
I NEED HELP ASAP 20 POINTS
vekshin1
I am too lazy to do question 6 if u want the answer tell me

8 0
2 years ago
Read 2 more answers
Find the value of x.
timofeeve [1]

Answer:

x = 5/3

Step-by-step explanation:

4x= x + 5

3x=5

x = 5/3

5 0
2 years ago
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