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Tems11 [23]
3 years ago
11

A grasshopper jumps off a tree stump. The height, in feet, of the grasshopper above the ground after t seconds is modeled by the

function shown.
h(t) = -t² + 4/3t + 1/4

After how many seconds will the grasshopper land on the ground?
Mathematics
1 answer:
klasskru [66]3 years ago
4 0

Answer:

Hence, Grasshopper will land on the ground after 1.5 sec.

Step-by-step explanation:

It s given that:

The height, in feet, of the grasshopper above the ground after t seconds is modeled by the function:

h(t)=-t^2+\dfrac{4}{3}t+\dfrac{1}{4}

Now we are asked to find:

In how many seconds will the grasshopper land on the ground?

i.e. we have to find the value of t such that h(t)=0

i.e.

-t^2+\dfrac{4}{3}t+\dfrac{1}{4}=0

i.e. we need to find the roots of the given quadratic equation.

On solving the quadratic equation or plotting it's graph we could observe that the point where h(t)=0 are:

t=-\dfrac{1}{6},t=\dfrac{3}{2}

As time can't be negative hence we will consider:

t=\dfrac{3}{2}=1.5sec

Hence, grasshopper will land on the ground after 1.5 sec.

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According to the Bureau of Labor Statistics, the average weekly pay for a U.S. production worker was $441.84 in 1998 (The World
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Using the normal distribution, it is found that a production worker has to make $542.64 a week to be in the top 30% of wage earners.

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In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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In this problem:

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You can learn more about the normal distribution at brainly.com/question/24663213

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Answer: ABCD is a parallelogram.

Step-by-step explanation:

First we plot these point on a graph as given in attachment.

From the attachment we can observe that AD || BC || x-axis .

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