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Assoli18 [71]
3 years ago
9

How is everyones morning? Lets start off the day giving free points!!

Mathematics
2 answers:
Lunna [17]3 years ago
5 0

Answer:

yes

Step-by-step explanation:

Natali [406]3 years ago
5 0

Answer:good

Step-by-step explanation:

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Newton's Law of Cooling states that the rate of change of the temperature of an object, T, is proportional to the difference of
maria [59]

Answer:

  305 °F

Step-by-step explanation:

The core temperature of the object after 4 hours can be found using an exponential decay formula to model the decay of the difference between core temperature and ambient.

<h3>Cooling Model</h3>

The solution to the differential equation described by Newton's law of cooling is the exponential equation ...

  y = ab^t +c

where 'a' is the initial core temperature difference from ambient, 'b' is the decay factor of that difference in 1 unit of time period t. 'c' is the ambient temperature.

For this problem, the ambient temperature is c=80, and the differences of interest are ...

  a = 1200 -80 = 1120

  b = (830 -80)/1120 = 75/112

Using these values in the model gives ...

  y = 1120(75/112)^t +80 . . . . . . where y(t) is the core temperature at time t

Note that units of time are hours.

<h3>Application</h3>

We want y when t=4.

  y = 1120(75/112)^4 +80 ≈ 1120(0.20108) +80 ≈ 305.212

The core temperature after 4 hours is about 305 °F.

__

<em>Additional comment</em>

The differential equation will have a solution of the form ...

  T-T_R=(T_0-T_R)e^{kt}

where k = ln(75/112) ≈ -0.40101

In the above, we defined b = e^k = 75/112. Accuracy with this fraction can be better than using a truncated value of k.

5 0
1 year ago
Twenty years ago, bruce wayne bought a batmobile for 250250250 million dollars. as the crime in gotham city has been down for a
dem82 [27]

Bruce will receive $160 million for the batmobile.

<h3>What is percentage?</h3>

The term "percentage" comes from the Latin phrase "per centum," meaning means "by the hundred." Percentages is fractions with a denominator of 100.

In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.

Calculating a percentage implies determining a portion of a whole in term of 100. A percentage can be calculated in two ways:

  1. The unitary technique is used.
  2. By adjusting the fraction's denominator to 100.
  3. It must be noted that second method of percentage calculation is not employed when the denominator isn't a factor of 100. In such circumstances, we employ the unitary technique.

Now, according to the question;

Given that prices fall about 20% every decade;

Thus,  100% - 20% = 80%

He paid $250 million for a batmobile twenty years ago.

Let Bruce to receive x millions of dollars for the batmobile.

⇒ 80% of x = 80/100 × x = 4/5 x

⇒ x = 250(4/5)(4/5)

⇒ x = 250(16/25)

⇒ x = 160

As a result, Bruce will receive 160 millions of dollars for such batmobile.

To know more about the percentage, here

brainly.com/question/317717

#SPJ4

The correct question is-

Twenty years ago, Bruce Wayne bought a batmobile for 250 million dollars. As the crime in Gotham city

has been down for a while, he plans to sell it.

How much can he get for the batmobile if the price goes down by 20% every decade? million dollars

6 0
2 years ago
Evaluate the surface integral. s x ds, s is the triangular region with vertices (1, 0, 0), (0, −2, 0), and (0, 0, 12).
aniked [119]
Parameterize the surface by

\mathbf r(s,t)=(1-s)(0,0,12)+s\bigg((1-t)(1,0,0)+t(0,-2,0)\bigg)
\implies\mathbf r(s,t)=(x(s,t),y(s,t),z(s,t))=(s-st,-2st,12-12s)

where (s,t)\in(0,1)\times(0,1). We have

\|\mathbf r_s\times\mathbf r_t\|=\|(1-t,-2t,-12)\times(-s,-2s,0)\|=2\sqrt{181}s

The surface integral is then

\displaystyle\iint_Sx\,\mathrm dS=2\sqrt{181}\int_{s=0}^{s=1}\int_{t=0}^{t=1}s(s-st)\,\mathrm dt\,\mathrm ds
=\displaystyle2\sqrt{181}\left(\int_{s=0}^{s=1}s^2\,\mathrm ds\right)\left(\int_{t=0}^{t=1}(1-t)\,\mathrm dt\right)
=\dfrac{\sqrt{181}}3
7 0
3 years ago
If f(x) =x2 +8 what is f(x) when x = 10
Shtirlitz [24]
F(x)= x² + 8 

When x = 10

f(x) = 10² + 8 = 108

Answer: 108
8 0
3 years ago
Which number is equivalent to 3 exponent 4 over 3 exponent 2
choli [55]

Answer:

9 or B

Step-by-step explanation:

3^4=81

3^2=9

81/9=9

3 0
3 years ago
Read 2 more answers
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