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svp [43]
2 years ago
7

I had $370. My Mom gave $150. My Dad gave $150 My Aunt and Uncle gave me $100. I had another $30. How much did I have?

Mathematics
1 answer:
mote1985 [20]2 years ago
5 0

370+150+150+100+30=800

calculator

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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
2 years ago
What is |–12|?<br><br> Can you help me please?
IrinaVladis [17]
The answer would be 12!!
5 0
3 years ago
Read 2 more answers
Tammy says the quotient of 793 ÷ 6 is 132 r1. Use multiplication to check Tammy's answer. × 6 + 1 = Tammy's answer is .
Troyanec [42]

To find the answer, we should multiply 132 by 6.

132*6=792

792+1=793

Tammy’s answer is correct.

7 0
3 years ago
Simplify the midpoint of PR.<br> Q (2b, 2c)<br> R (2a+2b, 2c)<br> Pl(0,0)<br> S (2a, 0)
Tomtit [17]

Answer:

The midpoint of PR is;

(a + b, c)

Step-by-step explanation:

Here, we want to get the coordinates of the midpoint of PR

To get these, we make use of the midpoint formula

Mathematically, that will be;

(x,y) = (x1+y1)/2, (x2+y2)/2

(x1,y1) = (0,0)

(x2,y2) = (2a+2b, 2c)

The midpoint is thus;

(2a+2b)/2 , 2c/2

= (a + b, c )

4 0
3 years ago
X^2 -25 =0. Factor and use the zero product property to solve.
Gwar [14]
X^2 - 25 is a difference of squares which has a special factorization.

In general, a^2 - b^2 = (a + b)(a - b)

x^2 - 25 = 0

(x + 5)(x - 5) = 0

x + 5 = 0  or   x - 5 = 0

x = -5   or   x = 5
7 0
3 years ago
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