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Nimfa-mama [501]
3 years ago
13

Which best describes the slope of the given line?

Mathematics
1 answer:
statuscvo [17]3 years ago
8 0

Answer:  The slope = 0

Step-by-step explanation:

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At some moment in time, a culture of bacteria contains 100 bacteria. After one hour, there are 300
LenKa [72]

Answer:

i think its a if im wrong im sorry

Step-by-step explanation:

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2 years ago
Need Help Please (b) Solve for x. Show each step of the solution. 3.5(7 – x) + 28 = 97 – 4.5(3x + 21)
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 it is   13   1/3 .   hope it helps
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Which expression is equivalent to<br> 10x5<br> 54x9<br> ? Assume x=0.
malfutka [58]
10x5 is the best soulition !
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3 years ago
A bridge is built in the shape of a parabolic arch. The bridge arch has a span of 166 feet and a maximum height of 40 feet. Find
scoray [572]

Answer:

38.27775 feet

Step-by-step explanation:

The bridge has been shown in the figure.

Let the highest point of the parabolic bridge (i.e. vertex of the parabola) be at the origin, O(0,0) in the cartesian coordinate system.

As the bridge have the shape of an inverted parabola, so the standard equation, which describes the shape of the bridge is

x^2=4ay\;\cdots(i)

where a is an arbitrary constant (distance between focus and vertex of the parabola).

The span of the bridge = 166 feet and

Maximum height of the bridge= 40 feet.

The coordinate where the bridge meets the base is A(83, -40) and B(-83, -40).

There is only one constant in the equation of the parabola, so, use either of one point to find the value of a.

Putting A(83,-40) in the equation (i) we have

83^2=4a(-40)

\Rightarrow a=-43.05625

So, on putting the value of a in the equation (i), the equation of bridge is

x^2=-172.225y

From the figure, the distance from the center is measured along the x-axis, x coordinate at the distance of 10 feet is, x=\pm 10 feet, put this value in equation (i) to get the value of y.

(\pm10)^2=-172.225y

\Rightarrow y=-1.72225 feet.

The point P_1(10,-1.72225) and P_2(-10,-1.72225) represent the point on the bridge at a distance of 10 feet from its center.

The distance of these points from the x-axis is d=1.72225 feet and the distance of the base of the bridge from the x-axis is h=40 feet.

Hence, height from the base of the bridge at 10 feet from its center

= h-d

=40-1.72225=38.27775 feet.

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3 years ago
How many pensioners should be in the sample
DENIUS [597]

Answer:

12

Step-by-step explanation:

6 0
3 years ago
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