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Lostsunrise [7]
3 years ago
14

A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until i

t reaches the peak at 2,000 feet. Then, as the car moves down to the hill’s base, its elevation drops at the same rate.
Mathematics
2 answers:
sergiy2304 [10]3 years ago
7 0

Answer:

t=40min

Step-by-step explanation:

speed is ratio of distance to time.

S=distance/time

50ft/min=2000/t

t=2000/50

t=40min

y=mx+c

y=50x+c

m=50ft/min gradient of the graph

the equation that satisfy the problem

victus00 [196]3 years ago
4 0

Answer:

the rate is 40 min.

Step-by-step explanation:

50 times 1 is 50 and 2000 divided by 50 is 40 which gives you 40 min.

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Answer:

  • the given dimension was used as the radius
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Step-by-step explanation:

The volume of a sphere can be found using the formula ...

  V = 4/3πr³ . . . . . where r is the radius

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The figure points to a diameter line and indicates 2.2 m. The arrowhead is in the middle of a radius line, making it easy to interpret the dimension as the radius of the sphere.

If 2.2 m is used as the radius, the volume is computed to be ...

  V = 4/3π(2.2 m)³ ≈ 44.58 m³

This agrees with your friend's volume, suggesting the diameter was used in place of the radius in the computation.

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The correct volume, using 2.2 m as the diameter, is ...

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2 years ago
Martha puts $240 in a savings account that earns 2% interest. if she leaves her money in the account for 5 years, how much simpl
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The final balance is $265.24.

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3 years ago
2z + 4x + 9y -y + 3
kotegsom [21]

Answer:

Step-by-step explanation:

2z+4x+9y-y+3

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For the system of equations that follows, use Gaussian elimination to obtain an equivalent system whose coefficient matrix is in
Rainbow [258]

Answer:

\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}

Step-by-step explanation:

From the question we are told that

System of equations given as

x₁ + 3x₂ + x₃ + x₄ = 3;

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Matrix form

\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}  \begin{Vmatrix}x_1\\x_2\\x_3\\x_4\end{Vmatrix}

Generally the echelon reduction is mathematically applied as

\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}

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\begin{Vmatrix}1 & 3 & 1&1&3\\0 & -8 & -1&0&2\\0&1 & -5 & 1& 5\end{Vmatrix}

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Add -1 times the 3rd row to the 1st row

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Add -3 times the 2nd row to the 1st row

\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}

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Answer:

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