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kakasveta [241]
2 years ago
15

A hot air balloon rose from a height of 100 m to 400 m in 3 minutes. What was the balloon’s rate of change?

Mathematics
1 answer:
maria [59]2 years ago
7 0

Answer:

1.666666667 meter per sec^2

Step-by-step explanation:

I feel like this is physic

using acceleration formla Vf-Vi/t

so 400-100/180sec

300/180

1.666666667 meter per sec^2

Hey  im still learning tell me if you feel like im wrong OwO

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One of the legs of a right triangle measures 2 cm and its hypotenuse measures 19 cm.
pentagon [3]

Answer:

18.9

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2 years ago
Alex is a writer who writes poems and short stories. For an upcoming writer's workshop Alex wants to write some new works. He ne
pashok25 [27]

Answer:

The maximum number of works that he can write while staying in his time budget is 24.

21 poems and 3 short stories

Step-by-step explanation:

In order to solve this problem we must first determine what our variables are. In this case it's the number of poems and short stories he can write.

p = # of poems

s = # of short stories

Next, we must build our objective function which will represent the total number of works he can write.

N=p+s

where N is the number of works.

Next, we must write the constrains based on the information provided by the problem.

The problem tells us that it takes him 30 hours to write a poem and 70 hours to write a short story and that he has 840 hours available to write them, so that constrain will be the following:

30p+70s \leq 840

it also tells us that he wants to write at least 4 poems and 3 short stories so there we have our other two constrains.

p \geq 4

s \geq 3

once we got our constrains we can go ahead and graph them to see how they will behave. (See attached picture)

In the graph p is the horizontal axis and s is the vertical axis.

On the graph we can see a polygon that is formed by the restriction. The vertices of the polygon will represent the optimal conditions for this linear programming problem. There are three optimal solutions there, so we need to test them to see which will return the greatest number of works he can write while keeping the given conditions.

Option 1:

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N=4+10

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Option 3:

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5 0
2 years ago
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Answer:

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Step-by-step explanation:

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The volume of shipping crate is 32 unit cubes.

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3 years ago
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