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astra-53 [7]
3 years ago
5

The two fastest times in the past 20 years for the girls 200-meter fun at Clarksville elementary school are 27.97 seconds and 27

.93 seconds.At yesterday's track meet, Claire ran 27.99 seconds was her time faster than either of the two fastest? Explain
Mathematics
1 answer:
murzikaleks [220]3 years ago
8 0
No because 27.97 and & 26.93 are less time and the less the better:)
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a boy is standing on a pole of height 14.7m throws a stone upwards. it moves in a vertical line slightly away from the pole and
fomenos

Answer:

The time taken for the upward motion is 1 second. The same time is taken for the downward motion

It reaches a maximum height of 4.9 meters.

Step-by-step explanation:

The equation of motion is:

x(t) = -4.9t^{2} + 9.8t

Since the term which multiplies t squared is negative, the graph is concave down, that is, x increases until the vertex, where it reaches it's maximum height, then it decreases.

Vertex of a quadratic equation:

Quadratic equation in the format x(t) = at^{2} + bt + c

The vertex is the point (t_{v}, x(t_{v})), in which

t_{v} = -\frac{b}{2a}

In this question:

x(t) = -4.9t^{2} + 9.8t

So a = -4.9, b = 9.8

Vertex:

t_{v} = -\frac{9.8}{2*(-4.9)} = 1

The time taken for the upward motion is 1 second.

x(t_{v}) = x(1) = 9.8*1 - 4.9*(1)^{2} = 4.9

It reaches a maximum height of 4.9 meters.

Downward motion:

From the vertex to the ground.

The ground is t when x = 0. So

-4.9t^{2} + 9.8t = 0

4.9t^{2} - 9.8t = 0

4.9t(t - 2) = 0

4.9t = 0

t = 0

Or

t - 2 = 0

t = 2

It reaches the ground when t = 2 seconds.

The downward motion started at the vertex, when t = 1.

So the duration of the downward motion is 2 - 1 = 1 second.

5 0
2 years ago
Find the area of a triangle bounded by the x-axis the line f(x)=5-5/3x and the line perpendicular to f(x)
viktelen [127]

Answer:

answer fx

Step-by-step explanation:

its fx because it works

7 0
2 years ago
What is the slope in the equation y=2x + 3?
olasank [31]

Answer:

the answer is m = 2

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

hope this helps

7 0
2 years ago
Read 2 more answers
ABM Services paid a $4.15 annual dividend on a day it closed at a price of $54 per share. What
Leni [432]

Answer:

- 22719559.

Step-by-step explanation:

3 0
3 years ago
If (62)x = 1 what is the value of x? Explain your answer.
Alex
Whenever you solve an equation with a single variable you need to isolate the variable by itself on one side of the equal sign.  Just be sure that whatever operations you perform on one side you perform on the other sides as well.

62x=1  divide both sides by 62

x=1/62
3 0
3 years ago
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