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vaieri [72.5K]
3 years ago
11

Which of the following is the correct graph of the linear equation below? y+2=1/5(x-1)

Mathematics
1 answer:
kupik [55]3 years ago
8 0

Answer:

Step-by-step explanation:

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Evaluate the following integral or state that it diverges. <br><br> *integral 0 to 1 (ln x)do
dolphi86 [110]

Answer:

-1

Step-by-step explanation:

so firstly we solve by integrating by parts.

lnX × X - the integral of x/x

so the integral is Xln(X) - X

so the value should converge at -1

6 0
2 years ago
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
What is the simplified form of x+5/3x+4 + x+4/x+3
alina1380 [7]

x +  \frac{5}{3}x + 4 + x +  \frac{4}{x} + 3 \\ x +  \frac{5x}{3}+ 4 + x +  \frac{4}{x}+ 3 \\ (x +  \frac{5x}{3}  + x) + (4 + 3) +  \frac{4}{x}  \\ x =  \frac{11x}{3}  + 7 +  \frac{4}{x}

3 0
4 years ago
Someone please help me I’ll give out brainliest please dont answer if you don’t know
lisabon 2012 [21]

Answer:

If you are looking for x your answer will be x=2

5 0
3 years ago
I need help!!! I know it’s late but I really need help in this math homework
sergejj [24]

Answer:

You will have 21 dollars left

Step-by-step explanation:

7 0
3 years ago
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