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Alex
3 years ago
15

A 2.0 kg cart moving right at 5.0 on a frictionless track collides with a 3.0 kg cart initially at rest. The 2.0 kg

Mathematics
1 answer:
Wewaii [24]3 years ago
4 0

final speed of the 3.0 kg cart is 2.67 m/s .

<u>Step-by-step explanation:</u>

Here we have , A 2.0 kg cart moving right at 5.0 on a friction less track collides with a 3.0 kg cart initially at rest. The 2.0 kg  cart has a final speed of 1.0 to the left. We will use law of conservation of momentum: For a collision occurring between object 1 and object 2 in an isolated system, the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision.

m_1(v_1)+m_2(v_2) =m_1(v_3)+m_2(v_4)

⇒ m_1(v_1)+m_2(v_2) =m_1(v_3)+m_2(v_4)

⇒ 2(5)+3(0) =2(1)+3(v_4)

⇒ 10 =2+3(v_4)

⇒ 3(v_4) = 8

⇒ (v_4) = \frac{8}{3}

⇒ (v_4) = 2.67

Therefore, final speed of the 3.0 kg cart is 2.67 m/s .

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The confidence interval formula is computed by:

Xbar ± Z s/ sqrt (n)

Where:

Xbar is the mean

Z is the z value

S is the standard deviation

N is the number of samples

 

So our given are:

90% confidence interval with a z value of 1.645

Sample size 40, 45

Mean 180, 179

Standard deviation 2, 4

 

So plugging that information in the data will give us a confidence interval:

For 1:

Xbar ± Z s/ sqrt (n)

= 180 ± 1.645 (2 / sqrt (40))

= 180 ± 1.645 (0.316227766)

= 180 ± 0.520194675

= 179.48, 180.52

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<span>= 179 ± 1.645 (0.596284794)</span>

therefore, the answer is letter b

8 0
3 years ago
The function N(X) = 90(0.86)* + 69 can be used to predict the temperature of a
dezoksy [38]

Answer: -8.93

Step-by-step explanation:

Given the function:

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X in the interval [0, 6]

For X = 0

N(0) = 90(0.86)^0 + 69

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N(6) = 90(0.86)^6 + 69

90(0.404567235136) + 69

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Therefore, average change of change in temperature ;

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(105.41105116224 - 159) / (6 - 0)

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3 years ago
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Answer:

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7 0
3 years ago
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Maksim231197 [3]

Answer:

El repetidor tiene aproximadamente 90.494 metros de altura.

Step-by-step explanation:

Al término de esta solución podemos encontrar el diagrama geométrico con toda la información derivada de lo descrito en el enunciado de la pregunta. Aquí designamos la altura del repetidor con la letra h, medida en metros. Procedemos a resolver el modelo a partir de la Ley del Seno:

\frac{30\,m}{\sin 3^{\circ}} = \frac{s}{\sin 67^{\circ}}

s \approx 527.651\,m

\frac{s}{\sin 156^{\circ}} = \frac{h}{\sin 4^{\circ}}

h \approx 90.494\,m

El repetidor tiene aproximadamente 90.494 metros de altura.

4 0
3 years ago
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Rina8888 [55]
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