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tatiyna
2 years ago
8

Consider the function f (x) = -2/3x +5.

Mathematics
1 answer:
earnstyle [38]2 years ago
7 0

Answer: 2.5

Step-by-step explanation:

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Answer: i think it’s c or it’s a

Step-by-step explanation

I think it’s c or it’s a

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3 years ago
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The car is moving with a speed v0 = 48 mi/hr up the 4-percent grade, and the driver applies the brakes at point A, causing all w
lutik1710 [3]

Answer:

s = 0.2203 miles

Step-by-step explanation:

Given:

- The initial speed vo = 48 mi/hr

- The mass of the car m

- The coefficient of kinetic friction uk = 0.61

- The slope of the road 4-percent grade

Find:

Determine the stopping distance sAB. Repeat your calculations for the case when the car is moving downhill from B to A.

Solution:

- Apply the energy principle with work done against friction:

                             K.E_1 + P.E_1 = Wf + P_E_2 + K.E_2

- The final velocity of car is zero, K.E_2 = 0

  The initial potential energy is set as zero, P.E_1 = 0

                             K.E_1 = Wf + P_E_2

                             0.5*m*vo^2 = Ff*s + m*g*h

Where, Ff is the frictional force:

                             Ff = uk*N

Where, N is the normal contact force between car and road. By equilibrium equation we have:

                             m*g*cos(θ) - N = 0

                             N = m*g*cos(θ)

Hence,

                             Ff = uk*m*g*cos(θ)

- The vertical distance travelled h is:

                             h = s*sin(θ)

- The energy equation is:

                             0.5*m*vo^2 = uk*m*g*cos(θ)*s + m*g*s*sin(θ)

                             0.5*vo^2 = uk*g*cos(θ)*s + g*s*sin(θ)

                             s*(uk*g*cos(θ) + g*sin(θ) ) = 0.5*vo^2

                             s = [0.5*vo^2 / (uk*g*cos(θ) + g*sin(θ) ) ]

- The slope = 4 / 100,

                      s = [0.5*48^2 / (0.61*8052.97*cos(2.29) + 8052.97*sin(2.29) ) ]

                      s = 0.2203 miles

3 0
4 years ago
Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees
Levart [38]

Answer:

The probability the event that none of them are obese is 0.0352.

Step-by-step explanation:

<h3>Binomial distribution:</h3>

A discrete random variable X having to the set {0,1,2,3....,n} as the spectrum, is said to have binomial distribution with parameters n= the number of trial, and p= probability of successes on an individual trial , if the p.m.f of X is given by,

P(X=x)=\left(\begin{array}{c}n\\x\end{array}\right) p^x(1-p)^{n-x} for x=0,1,2,...,n

                =0                               elsewhere.

where 0<p<1 and  n an positive integer,

Given that,

The probability of the event that a child living in an urban area in the united state is obese is 20%.

n=Number of children = 15, p= 20%= 0.20.

The probability the event that none of them are obese is

=P(X=0)

=\left(\begin{array}{c}15\\0\end{array}\right) (0.20)^0(1-0.20)^{15-0}

=0.0352

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3 years ago
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3 years ago
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