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Vladimir79 [104]
2 years ago
5

A freight train is carrying goods across the country. The distance it has traveled varies directly with the number of gallons of

fuel it has used. See the graph below.

Mathematics
1 answer:
kicyunya [14]2 years ago
6 0

Answer:

Step-by-step explanation:

The train uses

\frac{400gallons}{200miles}

If you reduce that you get that the train uses

\frac{2gallons}{1mile}

To find the slope of the line, we will use the 2 points on the coordinate plane where the graph goes through:  (0, 0) and (400, 200)

Applying the slope formula:

m=\frac{200-0}{400-0}=\frac{1}{2}

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you plan to buy a bicycle that will cost at least 180. you have saved 38 and your parents have given you 50. how much more money
shutvik [7]

Answer:

$92

Step-by-step explanation:

  • add what you saved and the parents gave you
  • subtract that by 180
  • $92
4 0
2 years ago
The elevations of three cities in the Netherlands are shown below. Which comparison is true?
Lilit [14]

The correct answer is "Amsterdam is the same distance from sea level as Drachten."  Each is two meters from sea level; Amsterdam is 2 meters under, Drachten two meters over.

8 0
2 years ago
Elaine bought $4 worth of apples and $3 worth of lemons did her grocery bag weigh more than 5 1/4
inysia [295]
1/4 will be your answer
7 0
2 years ago
O is the centre of the circle and ABC and EDC are tangents to the circle. Find the size of angle BCD. You must give reasons in y
Simora [160]

Answer:

mBCD = 28°

Step-by-step explanation:

The angle mBFD inscribes the arc mBD, so we have that:

mBFD = mBD/2

76 = mBD/2

mBD = 152°

The angle mBOD is a central angle related to the arc mBD, so we have that:

mBOD = mBD = 152°

In the quadrilateral BODC, the sum of internal angles needs to be equal to 360° (property of all convex quadrilaterals). The angles mCBO and mCDO are right angles, because EDC and ABC are tangents to the circle.

So, we have that:

mBOD + mCDO + mBCD + mCBO = 360

152 + 90 + mBCD + 90 = 360

mBCD = 360 - 90 - 90 - 152

mBCD = 28°

7 0
2 years ago
Find the general form of the function that satisfies da/dt = -9a
posledela
The given equation is
\frac{da}{dt} =-9a

This ODE (Ordinary Differential Equation) is separable.
That is,
\frac{da}{a} = -9

Integrate to obtain
\int  \frac{da}{a} =-9 \int dt \\\\ ln(a) = -9t + k \\\\ a(t) = c \, e^{-9t}
where k, c are constants.

Answer:  a(t) = c \, e^{-9t}, c = constant.

4 0
2 years ago
Read 2 more answers
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