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levacccp [35]
3 years ago
8

An engineering student is studying the effects of cryogenic treatments on a particular material. The treatment involves cooling

the material with
specific applications of liquid nitrogen
The temperature of the material in degrees Celsius, y, can be modeled by the following graph, where x represents the time, in hours, since the
treatment began

Mathematics
2 answers:
Leno4ka [110]3 years ago
6 0

Answer:

The correct option is C.

Step-by-step explanation:

It is given that the temperature of the material in degrees Celsius, y, can be modeled by the following graph, where x represents the time, in hours.

From the given graph it is clear that  

1. The y-intercept is 40, so the initial temperature is 40 degree Celsius.

2.The vertex of the upward parabola is at (15,-200), so material's temperature reaches a minimum -200 degrees Celsius at 15 hours.

3. The material return to its initial temperature after 30 hours because the temperature is 40 degree Celsius at x=30.

Therefore the correct option is C.

maxonik [38]3 years ago
3 0

Answer:

option c

Step-by-step explanation:

The object reaches -200 degrees C at 15 hrs, coldest temperature it ever achieved

You might be interested in
The probability distribution for a random variable x is given in the table X: -5,-3,-2,0,2,3 Probability: .17,.13,.33,.16,.11,.1
Ivan

Answer:

0.6 probability that -2 \leq x \leq 2

Step-by-step explanation:

The probability distribution is given in the table.

Probability that x is between -2 and 2.

Between -2 and 2, inclusive, we have -2, 0 and 2. So

P(-2 \leq x \leq 2) = P(X = -2) + P(X = 0) + P(X = 2)

From the table:

P(X = -2) = 0.33, P(X = 0) = 0.16, P(X = 2) = 0.11. So

P(-2 \leq x \leq 2) = P(X = -2) + P(X = 0) + P(X = 2) = 0.33 + 0.16 + 0.11 = 0.60

0.6 probability that -2 \leq x \leq 2

4 0
2 years ago
3. Si al doble de un número se le resta su mitad resulta 30. ¿Cuál es el número? Plantear ecuación y resolverla
guajiro [1.7K]

Respuesta:

2x - 0.5x = 30

x = 20

Explicación paso a paso:

Llamemos "x" a la incógnita, el número desconocido.

Cuando nos referimos al doble de un número, es lo mismo que 2x.

Cuando nos referimos a la mitad de un número, es lo mismo que 0.5 x.

Consideremos que al doble de un número (2x) se le resta su mitad 0.5x) y se obtiene 30. La ecuación resultante es:

2x - 0.5x = 30

1.5x = 30

x = 30/1.5 = 20

8 0
2 years ago
–21:(–2 – 5) + ( –14) + 6.(8 – 4.3)​
Paladinen [302]
Did you mean -21(-2-5)+(-14)+6(8-4.3) ?
If that, the answer is 155.2:)) im sorry if im wrong:((
4 0
2 years ago
Sara buys soil from a gardener to fill a planter.The gardener has 1.5 cubic feet of soil to sell for $6. Sara buys just enough s
Travka [436]
The first thing you should do is calculate the volume of the prism.
 We have then:
 V = h * L ^ 2
 Where,
 L: side of the square base.
 h: height.
 Substituting we have:
 V = (0.5) * (1) ^ 2 = 0.5 feet ^ 3.
 Then, we can make the following rule of three:
 1.5 feet ^ 3 ---> 6
 0.5 feet ^ 3 ---> x
 Clearing x we have:
 x = (0.5 / 1.5) * (6) = 2 $
 Answer:
 it will cost Sara 2 $ to completely fill her planter with soil
5 0
3 years ago
HELP PLEASE!!! Thanks!
Irina18 [472]

Answer:

2) \frac{\sqrt{77}}{11}

3) 5√2

Step-by-step explanation:

Simplest radical form of an expression is the expression in radical so that there are no more square roots, cube roots, 4th roots, etc left to find, after rationalising the denominator ( if needed ).

2. Here the given expressions,

\frac{\sqrt{7}}{\sqrt{11}}

For rationalising the denominator multiply both numerator and denominator by √11,

\frac{\sqrt{77}}{11}

3. given expression,

\sqrt{50}

=\sqrt{25\times 2}

=\sqrt{25}\times \sqrt{2}   (\because \sqrt{ab}=\sqrt{a}\sqrt{b})

=5\sqrt{2}

8 0
3 years ago
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