The taxi driver charges $3.50 just to get in the cab and then $2.50 per mile. If Lisa travels m miles, which equationtells Lisa how much she will have to pay for her taxi ride, r?
A r = 2.5 +3.5
B = 3.5m + 2.5
r= 2.5m + 3.5
Dr= 2.5m - 3.5

Answers

Answer 1
Answer:

Answer:r=2.5m+3.5

Step-by-step explanation:

Answer 2
Answer: the answer is 2.5m + 3.5 because we don't know how many miles the taxi driver drove

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Answers

This is what you're looking for if I'm not mistaken
sin²x + cos²x = 1
So:
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∴ sin²x * cos²x = (1 - cos²x) * cos²x
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Answers

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A hydraulic lift is to be used to lift a 2000-kg weight by putting a weight of 25 kg on a piston with a diameter of 10 cm. Determine the diameter of the piston on which the weight is to be placed.

Answers

Answer:

88 centimeters is the diameter of the cilinder

Step-by-step explanation:

The pressure on both ends of the lift must be the same. Assuming the piston is cilindrical, its area will be A=π*r² where r is half the diameter

Since pressure P=F/A And P1=P2

F1=2000kg.g

A1=π*r²

F2=25kg.g

A2=π*0.05²

2000/(π*r²)=25/(π*0.05²)

and we solve for A1

r²=2000*0.05²/25

r=\sqrt{(2000*0.05^2)/(25)}

r=√(5)20*0.05/5=0.44m or 44cm

This is the radius, meaning that the diameter will be twice this number

Answer:

Diameter=28,4849

Step-by-step explanation:

Remember that the formula for pistons is oftena  simple rule of three, the input and output force is equal to the division of the force by the area of the application of the force:

(25)/(78,5)= (2000)/(x)\n x=(2000*25)/(78,5) \nx=636,94cm^2

Now that is the area of the circle, we just solve the formula of the circle to calculate the radius:

a=\pi r^2\nr=\sqrt{(636,94)/(3,14) } \nr=14,24 cm

Now remember that the radius is half the diameter so we just have to multiply the radius by 2:

14,24*2=28,4849

So the diameter has to be 28,4849

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Answers

Answer:

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Step-by-step explanation:

Function: each x only has one y, and this is the only graph that fits the description

The answer is the bottom left one!

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Answers

In general, you solve questions of cancavity by looking at the second derivative. It will be negative where the function is concave downward. (It will be positive for concave upward, and zero at points of inflection.)

I find it convenient to get guidance from a graphing calculator.

f(x) is concave downard on the interval (-∞, 2).

_____
The derivative is
.. f'(x) = e^-x -x*e^-x
The second derivative is
.. f''(x) = -e^-x -(e^-x -x*e^-x)
.. = (x -2)*e^-x
This will be negative for x < 2.

What is the sum of the interior angle measures of a polygon that has eleven sides ? Hint :Sum = (n-2)180

Answers

Answer:

n=11

Step-by-step explanation:

(11-2) 180

9×180=1620