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musickatia [10]
2 years ago
14

An eagle takes off from the top of a cliff that is 125 meters high and flies upward. After t seconds, the height at which the ea

gle is flying is given by the equation h(t) = 125 + 1.25t2 where t is in seconds. Find the instantaneous velocity of the eagle at t = 3 seconds. Round your answer to one decimal place.
Mathematics
1 answer:
bezimeni [28]2 years ago
3 0

Answer:

The instantaneous velocity of the eagle at the given time is  7.5 m/s.

Step-by-step explanation:

Given;

height of the cliff, h = 125 m

the height at which the eagle is flying, h(t) = 125 + 1.25t²

The velocity of the eagle is given by;

v = dh/dt

v = 2.5t

The instantaneous velocity of the eagle at t = 3 seconds is given by;

v = 2.5(3)

v = 7.5 m/s

Theerefore, the instantaneous velocity of the eagle at t = 3 seconds is  7.5 m/s.

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Edgar ran eee meters per second, and Mathieu ran mmm meters per second. The boys ran for ttt seconds.
Oksana_A [137]

Answer:

The expression showing how many more meters Mathieu ran than Edgar ran during that time is  t(m-e).

Step-by-step explanation:

Edgar ran 'e' meters per second, and Mathieu ran 'm' meters per second. The boys ran for 't' seconds.

The expression t(m-e) describes how many more meters Mathieu ran than Edgar ran during that time.

We can also use the expression tm-te represent the same quantity.

We know that,

\text{Distance} =\text{Speed}\times \text{Time}

Distance covered by Edgar = te

Distance covered by Mathieu = tm

Difference in distance d= tm - te=t(m-e)

The expression showing how many more meters Mathieu ran than Edgar ran during that time is  t(m-e).

7 0
2 years ago
Read 2 more answers
£1 (pound) is worth 1.64 euros. Jane changes £400 into euros. how many euros does she recieve?
Dimas [21]
1.64 euros times by 400 pounds is 656 euros

8 0
2 years ago
713.49 written in a standard form
Vikki [24]

Answer: one hundred  seven thirteen and forty-nine hundreds

Step-by-step explanation: Standard form is a way of writing down very large or very small numbers easily. 103 = 1000, so 4 × 103 = 4000 . So 4000 can be written as 4 × 10³ . This idea can be used to write even larger numbers down easily in standard form.

7 0
2 years ago
The track team is trying to reduce their time for a relay race. First they reduce their time by 2.1 minutes. Then they are able
klemol [59]
Answer: 15.7 minutes

Step-by-step explanation:

Let x be the time in the beginning (in minutes).

Given: The track team is trying to reduce their time for a relay race.

First they reduce their time by 2.1 minutes.

Then they are able to reduce that time by 10

If their final time is 3.96 minutes, then

x-t1-t2= 3.6
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x= 3.6+ 2.1+ 10
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Hence, their beginning time was 15.7 minutes.
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2 years ago
Which term in the arithmetic sequence 11, 4,-3 . . . is -129?​
telo118 [61]

Answer:

23rd term

Step-by-step explanation:

Plz mark as Brainliest!

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