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Otrada [13]
3 years ago
7

F. How many miles could be driven with 18 gallons of gas?

Mathematics
1 answer:
3241004551 [841]3 years ago
8 0

Answer:

21.5 or 26.8

Step-by-step explanation:

a car with a 18 gallon gas tank can average 21.5 miles per gallon when driven in the stop and go traffic of the city and 26.8 miles per gallon when driven on the highway

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Nikitich [7]

The acceleration of the particle is given by the formula mentioned below:

a=\frac{d^2s}{dt^2}

Differentiate the position vector with respect to t.

\begin{gathered} \frac{ds(t)}{dt}=\frac{d}{dt}\sqrt[]{\mleft(t^3+1\mright)} \\ =-\frac{1}{2}(t^3+1)^{-\frac{1}{2}}\times3t^2 \\ =\frac{3}{2}\frac{t^2}{\sqrt{(t^3+1)}} \end{gathered}

Differentiate both sides of the obtained equation with respect to t.

\begin{gathered} \frac{d^2s(t)}{dx^2}=\frac{3}{2}(\frac{2t}{\sqrt[]{(t^3+1)}}+t^2(-\frac{3}{2})\times\frac{1}{(t^3+1)^{\frac{3}{2}}}) \\ =\frac{3t}{\sqrt[]{(t^3+1)}}-\frac{9}{4}\frac{t^2}{(t^3+1)^{\frac{3}{2}}} \end{gathered}

Substitute t=2 in the above equation to obtain the acceleration of the particle at 2 seconds.

\begin{gathered} a(t=1)=\frac{3}{\sqrt[]{2}}-\frac{9}{4\times2^{\frac{3}{2}}} \\ =1.32ft/sec^2 \end{gathered}

The initial position is obtained at t=0. Substitute t=0 in the given position function.

\begin{gathered} s(0)=-23\times0+65 \\ =65 \end{gathered}

8 0
1 year ago
If a line has a slope of 2 and contains the point (-2,1), what is its equation in point-slope form?
kondaur [170]
The equation for slope is y=mx+b. slope is m. 2 is the slope. so you know the m part of the equation is 2. just by eliminating the answers that don’t have 2 as the slope, A is your answer.
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3 years ago
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3 years ago
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The top of the cylindrical can shown below has a diameter of 7 centimeters (cm).
Sidana [21]

Answer:

Circumference of the can is 21.98 cm.

Step-by-step explanation:

Since, top of the cylinder can shown in the figure is in the shape of a circle

Circumference of a circle is given by the formula,

Circumference 'C' = π × Diameter

Where r = radius of the circle

Therefore, circumference of a circle with diameter 7 centimeters will be,

C = 7π

   = 7 × 3.14

   = 21.98 cm

Therefore, circumference of the can is 21.98 cm.

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3 years ago
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