MATHEMATICS COLLEGE

How much kinetic energy does a 4 kg cats have while at 9 m/s​

Answers

Answer 1
Answer:

Answer:

162 Joules

Step-by-step explanation:

Remember, the equation for the kinetic energy of an object is:

K=(1)/(2)mv^(2)

where m is the mass of the object in kg (kilograms), v is the velocity of the object in m/s (meters per second), and K is the kinetic energy of the object in J (joules).

We are given that the cat's mass is 4 kg. We will use this for m. We are also given that the cat is moving at 9 m/s. This would be it's speed. We can use this for velocity, or v. Plugging in we get:

K=(1)/(2)mv^(2)=(1)/(2)(4)(9)^(2)=(2)(81)=162

So K, or the kinetic energy, would be 162J.

I hope you find my answer and explanation to be helpful. Happy studying.

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What’s the correct answer for this?

Answers

Answer:

C

Step-by-step explanation:

HJN IS SIMILAR TO PQN

ΔABC is a right triangle and ∠B is a right angle. If sin ∠A = 3/5, then what is the ratio for tan ∠C?

Answers

Answer:

Tan \ \angle C=(3)/(4)

Step-by-step explanation:

-The sine of an angle in a right triangle is given as:

Sin \ \theta=(Opposite)/(Hypotenuse)\n\n\therefore Sin \ \angle A=(3)/(5)

-From this Trigonometric ratio, we calculate the length of the adjacent as:

b^2+h^2=H^2\n\nb^2=5^2-3^2\n\nb^=4\n\n\therefore Adjacent=4

We then calculate tan ∠C

Tan \ \ theta=(Opposite)/(Adjacent)\n\nTan \ \angle C=(3)/(4)

Answer:

4/3

Step-by-step explanation:

The right triangle is a 3-4-5 triangle- the opposite side of a is 3 (based on 3/5 which is opp/hyp) and the hypnotuse is 5. The ohter side is 4 no matter how it is solved individually. For tan, it is opp/adj so the opp of angle c is 4 and the adj is 3. Therefore it is 4/3. :D The other person flipped it.

According to a random sample taken at 12​ A.M., body temperatures of healthy adults have a​ bell-shaped distribution with a mean of 98.28degreesF and a standard deviation of 0.63degreesF. Using​ Chebyshev's theorem, what do we know about the percentage of healthy adults with body temperatures that are within 2 standard deviations of the​ mean? What are the minimum and maximum possible body temperatures that are within 2 standard deviations of the​ mean? At least nothing​% of healthy adults have body temperatures within 2 standard deviations of 98.28degreesF.

Answers

Answer:

At least 75% of healthy adults have body temperatures within 2 standard deviations of 98.28degreesF.

The minimum possible body temperature that is within 2 standard deviation of the mean is 97.02F and the maximum possible body temperature that is within 2 standard deviations of the mean is 99.54F.

Step-by-step explanation:

Chebyshev's theorem states that, for a normally distributed(bell-shaped )variable:

75% of the measures are within 2 standard deviations of the mean

89% of the measures are within 3 standard deviations of the mean.

Using​ Chebyshev's theorem, what do we know about the percentage of healthy adults with body temperatures that are within 2 standard deviations of the​ mean?

At least 75% of healthy adults have body temperatures within 2 standard deviations of 98.28degreesF.

Range:

Mean: 98.28

Standard deviation: 0.63

Minimum = 98.28 - 2*0.63 = 97.02F

Maximum = 98.28 + 2*0.63 = 99.54F

The minimum possible body temperature that is within 2 standard deviation of the mean is 97.02F and the maximum possible body temperature that is within 2 standard deviations of the mean is 99.54F.

An train station has determined that the relationship between the number of passengers on a train and the total weight of luggage stored in the baggage compartment can be estimated by the least squares regression equation y=103+30x. Predict the weight of luggage for a flight with 86 passengers.

Answers

Answer:

2683

Step-by-step explanation:

Using the linear regression equation that predict the relationship between the weight of the luggage and the total number of passenger y = 103 + 30x, we can plug in the number of passenger x = 86 to predict the weight of the luggage on a flight:

y = 103 + 30*86 =  2683

Whats y=1/4x-12, solve for x

Answers

Answer:

x=48

Step-by-step explanation:

Translate the sentence into an inequality.A number w increased by 6 is greater than or equal to 27.

Answers

Answer:

w + 6 ≥ 27

Step-by-step explanation:

A number w is the variable w.

Increased by 6 means being added by 6.
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