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Lady_Fox [76]
3 years ago
6

Example for Metric system and imperial system?

Mathematics
1 answer:
swat323 years ago
7 0
Metric: kilometers

Imperial: Miles
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Which of the following are examples of inferential statistics?
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3 years ago
The position of an object along a vertical line is given by s(t) = −t3 + 3t2 + 7t + 4, where s is measured in feet and t is meas
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Answer:

The maximum velocity of the object in the time interval [0, 4] is 10 ft/s.

Step-by-step explanation:

Given : The position of an object along a vertical line is given by s(t) = -t^3+3t^2+7t +4, where s is measured in feet and t is measured in seconds.

To find : What is the maximum velocity of the object in the time interval [0, 4]?

Solution :

The velocity is rate of change of distance w.r.t time.

Distance in terms of t is given by,

s(t) = -t^3+3t^2+7t +4

Derivate w.r.t. time,

v(t)=s'(t) = -3t^2+6t+7

It is a quadratic function so its maximum is at vertex of the function.

The x point of the function is given by,

x=-\frac{b}{2a}

Where, a=-3, b=6 and c=7

t=-\frac{6}{2(-3)}

t=-\frac{6}{-6}

t=1

As 1 lie between interval [0,4]

Substitute t=1 in the function,

v(t)= -3(1)^2+6(1)+7

v(t)= -3+6+7

v(1)=10

Th maximum velocity is 10 ft/s.

Therefore, the maximum velocity of the object in the time interval [0, 4] is 10 ft/s.

8 0
3 years ago
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3 years ago
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If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x).
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Answer: x-7

Step-by-step explanation:

f(x)+g(x)=-3x-5+4x-2=\boxed{x-7}

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Equation for= Y=x shift the graph up 5 units
telo118 [61]

Answer:

y = x + 5

Step-by-step explanation:

The graph of the ramp function y = x is a straight line with slope +1 and passing through the origin.  If the whole graph is shifted up 5 units, the equation/function becomes

y = x + 5.  The resulting graph is parallel to y = x.

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