1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GaryK [48]
4 years ago
13

Let’s say that you put a cup of cold water in one room and a cup of hot water in another room. Both rooms are room-temperature.

Why does the cold water get warmer? Why does the hot water get cooler?
Mathematics
1 answer:
Nutka1998 [239]4 years ago
4 0

The motion of molecules determines temperature. The faster the particles move, the higher the temperature will be.

A cold cup of water will warm up to room temperature because the energy of the air in the room transfers to the cold water to make the water molecules move faster. The energy goes from hot to cold. The energy transfer is due to the molecules colliding into one another.

The hot cup of water cools down because the energy of the water molecules leaks out to the surrounding air to warm up the air around it, which is why you can feel the heat of the steam of water.

As for why you can feel cold things, its because the energy from your hand moves toward the cold object (again energy going from hot to cold), which makes your brain perceive the cold object.

You might be interested in
Mr. Gardner is making 6 treat bags.He has 185 chocolate covered raisins to share evenly among the treat bags.
erica [24]

Answer:

30 will be in each bag

5 chocolate covered raisins will be left

Step-by-step explanation:

185 divided by 6=30

30*6=180

185-180=5

7 0
3 years ago
I need help with this geometry question asap!
Gnom [1K]

Answer:

  (a)  Theorem 9

Step-by-step explanation:

Any of the given theorems can be used to prove lines are parallel. We need to find the one that is applicable to the given geometry.

<h3>Analysis</h3>

The marked angles are between the parallel lines (interior) and on opposite sides of the transversal (alternate).

Theorem 9 applies to congruent alternate interior angles.

8 0
2 years ago
What are the x and y-intercepts of the line described by the equation?<br><br> 3x−9y=10.8
marysya [2.9K]

3x-9y=10.8\\\\x-intercept\ for\ y=0:\\\\3x-9(0)=10.8\\\\3x-0=10.8\\\\3x=10.8\qquad\text{divide both sides by 3}\\\\\boxed{x=3.6\to(3.6,\ 0)}\\\\y-intercept\ for\ x=0:\\\\3(0)-9y=10.8\\\\0-9y=10.8\\\\-9y=10.8\qquad\text{divide both sides by (-9)}\\\\\boxed{y=-1.2\to(0,\ -1.2)}

3 0
3 years ago
How to know if a function is periodic without graphing it ?
zhenek [66]
A function f(t) is periodic if there is some constant k such that f(t+k)=f(k) for all t in the domain of f(t). Then k is the "period" of f(t).

Example:

If f(x)=\sin x, then we have \sin(x+2\pi)=\sin x\cos2\pi+\cos x\sin2\pi=\sin x, and so \sin x is periodic with period 2\pi.

It gets a bit more complicated for a function like yours. We're looking for k such that

\pi\sin\left(\dfrac\pi2(t+k)\right)+1.8\cos\left(\dfrac{7\pi}5(t+k)\right)=\pi\sin\dfrac{\pi t}2+1.8\cos\dfrac{7\pi t}5

Expanding on the left, you have

\pi\sin\dfrac{\pi t}2\cos\dfrac{k\pi}2+\pi\cos\dfrac{\pi t}2\sin\dfrac{k\pi}2

and

1.8\cos\dfrac{7\pi t}5\cos\dfrac{7k\pi}5-1.8\sin\dfrac{7\pi t}5\sin\dfrac{7k\pi}5

It follows that the following must be satisfied:

\begin{cases}\cos\dfrac{k\pi}2=1\\\\\sin\dfrac{k\pi}2=0\\\\\cos\dfrac{7k\pi}5=1\\\\\sin\dfrac{7k\pi}5=0\end{cases}

The first two equations are satisfied whenever k\in\{0,\pm4,\pm8,\ldots\}, or more generally, when k=4n and n\in\mathbb Z (i.e. any multiple of 4).

The second two are satisfied whenever k\in\left\{0,\pm\dfrac{10}7,\pm\dfrac{20}7,\ldots\right\}, and more generally when k=\dfrac{10n}7 with n\in\mathbb Z (any multiple of 10/7).

It then follows that all four equations will be satisfied whenever the two sets above intersect. This happens when k is any common multiple of 4 and 10/7. The least positive one would be 20, which means the period for your function is 20.

Let's verify:

\sin\left(\dfrac\pi2(t+20)\right)=\sin\dfrac{\pi t}2\underbrace{\cos10\pi}_1+\cos\dfrac{\pi t}2\underbrace{\sin10\pi}_0=\sin\dfrac{\pi t}2

\cos\left(\dfrac{7\pi}5(t+20)\right)=\cos\dfrac{7\pi t}5\underbrace{\cos28\pi}_1-\sin\dfrac{7\pi t}5\underbrace{\sin28\pi}_0=\cos\dfrac{7\pi t}5

More generally, it can be shown that

f(t)=\displaystyle\sum_{i=1}^n(a_i\sin(b_it)+c_i\cos(d_it))

is periodic with period \mbox{lcm}(b_1,\ldots,b_n,d_1,\ldots,d_n).
4 0
3 years ago
If f(x)=x-3/x and g(x)=5x-4, what is the domain of (f•g)(x)
valentina_108 [34]
Log number 1 find catalog 5 - 4 = 1 . ( f .g ) 1 log = 0
4 0
3 years ago
Read 2 more answers
Other questions:
  • A recipe takes 90 minutes to make 35% of the time is spent preparing the ingredients how many minutes are spent preparing
    13·2 answers
  • Consider △LNM. Triangle L M N is shown. Angle N M L is a right angle. Which statements are true for triangle LNM? Check all that
    9·2 answers
  • What is the range of Variable B?
    14·1 answer
  • Divided his money in the ratio 4:2 between jon and jack.jon got smaller amount of 12.56$.how much did jack recieve?
    10·1 answer
  • Please answer quickly, will mark brainlest to first and correct answer!!!!!!!
    11·2 answers
  • Can someone explain how I do these please ?
    7·2 answers
  • Which tree diagram shows all the possible outcomes for 2 coin flips?
    15·1 answer
  • Mr. Dylan asks his students throughout the year to record the number of hours per week they spend practicing math at home. At th
    12·1 answer
  • −px+r=−8x−2 solve for x<br> Plx I need this ASAP
    6·1 answer
  • What is the expression and value of "six less than nine times the sum of a number and eight"
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!