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Aneli [31]
3 years ago
15

In science class, the students were asked to create a container to hold an egg. They would drop this container from a window tha

t is 25 feet above the ground. If the equation of the container's pathway can be modelded the equation h=-16t^2+25 , how long will it take the container to reach the ground?
Mathematics
1 answer:
Rama09 [41]3 years ago
6 0

Answer:

7.8 seconds

Step-by-step explanation:

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Working together to palms can drain a certain pool in three hours if it takes the older pump nine hours to drain the pool by its
andreyandreev [35.5K]

Answer:

It would take the newer pump 4.5 hours to drain the pool

Step-by-step explanation:

Let's investigate first what is the fraction of the job done in the unit of time (hour in this case) by each pump if the work individually:

older pump: if it takes it 9 hours to complete the job, it does \frac{1}{9} of the job in one hour.

newer pump: we don't know how long it takes (this is our unknown) so we call it "x hours". Therefore, in the unit of time (in one hour) it would have completed \frac{1}{x} of the total job.

both pumps together: since it takes both 3 hours to complete the job, in one hour they do \frac{1}{3} of the job.

Now, we can write the following equation about fractions of the job done:

<em>The fraction of the job done by the older pump plus the fraction of the job done by the newer pump in one hour should total the fraction of the job done when they work together.</em> That is in mathematical terms:

\frac{1}{9} +\frac{1}{x} =\frac{1}{3}

and solving for x:

\frac{1}{9} +\frac{1}{x} =\frac{1}{3} \\x+9=3x\\2x=9\\x=\frac{9}{2} \,\,hours\\x = 4.5\,\,hours

4 0
3 years ago
Beinggreat78 please answer fast
NARA [144]

Answer:

Option B, 24 feet

Step-by-step explanation:

<u>Step 1:  Determine the perimeter</u>

To find how much fence we will need to go around the garden means that we need to find the perimeter.  In order to find the perimeter we need to add up all of the sides which we can do using the formula below.

P = 2(w + l)

P = 2(5\ ft + 7\ ft)

P = 2(12\ ft)

P = 24\ ft

Answer: Option B, 24 feet

4 0
2 years ago
Half of your baseball card collection got wet and was ruined. You bought 11 cards to replace some that were lost. How many did y
AveGali [126]
Hmmmmm....Im guessing in this question you add..When you add it's 35.So I started with 35. Hope this helps! (;
7 0
3 years ago
Read 2 more answers
Determine what type of model best fits the given situation:
kondaur [170]

Answer:

Ok, i will suppose the situation that:

The rocket has a constant speed S (So the acceleration of the rocket is equal in magnitude, but opposite in direction, to the gravitational acceleration)

Here we can remember that:

Velocity = distance/time.

Then if the distance is the height of the rocket, we can write this as:

H = velocity*time

h = S*t

This is a linear model that represents the height of the rocket as a function of time.

Case 2:

The rocket is fired with an initial velocity v0, but no acceleration:

In this case the only acceleration acting on the rocket is the gravitatonal acceleration pulling the rocket down, so the acceleration is:

a = -g

To get the velocity as a function of time, we should integrate:

a = -g*t + v0

To get the height as a function of time, we integrate again:

h(t) = (-g/2)*t^2 + v0*t + p0

Where p0 is the initial position of te rocket, but the rocket starts at the ground, so p0 = 0m.

The height as a function of time is:

h(t) = (-g/2)*t^2 + v0*t

This is a quadratic equation.

8 0
3 years ago
If Bob gains 15 pounds, then the ratio of Bob's weight to Tom's weight would be 7 to 5. If Tom weighs 115 pounds, what is Bobs w
statuscvo [17]

Answer:

Step-by-step explana:

-115/5= 23

-23x7=16 1

-161-15=146

5 0
3 years ago
Read 2 more answers
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