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vredina [299]
2 years ago
10

Newton's second law says force (f) is equal to mass (m) times acceration (a). A scientist wants to calculate the force of an obj

ect where the acceleration of gravity (g) is 9.8 m/s2. Use the function to calculate the force for an object with a mass (m) of 0.29 kilograms.
Mathematics
2 answers:
elixir [45]2 years ago
7 0
Force = mass x accerelation
= 0.29 x 9.8
= 2.842 N
elena55 [62]2 years ago
6 0

Answer:

2.842 N


Step-by-step explanation:

Newton's second law is given by the equation  F=ma

Where,

  • F is the force in Newtons
  • m is the mass in kilograms (kg)
  • a is acceleration given in meters per second squared

<em>Given in the problem, </em>

<em>m = 0.29 kg, and</em>

<em>a = 9.8 meters per second squared</em>


Substituting into the formula gives us F:

F=ma\\F=(0.29)(9.8)\\F=2.842  Newtons (N)

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Joe wants to enlarge the rectangular pumpkin patch located on his farm. The pumpkin patch is currently 40 meters wide and 60 met
vodomira [7]

Answer:

15x^2+380x+2400

The diagram is shown below for reference.

Step-by-step explanation:

We are given the length and width of old pumpkin patch as 60 meters and 40 meters respectively.

It further says length is increased by 5x meters and width increased by 5x meters.

So the length of the new pumpkin patch would be 60+5x meters.

And the width would be 40+3x meters.

We know area of a rectangular shape =length \times width

So, plugging the above values, we get the area of the new pumpkin patch as:

=(60+5x)\times (40+3x)\\=2400+180x+200x+15x^2\\=2400+380x+15x^2\\=15x^2+380x+2400 on rearranging.

Thus the function of the area of the new pumpkin patch would be:

f(x) = 15x^2+380x+2400

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3 years ago
Please help test tomorrow everything you need is in the photo below
Luba_88 [7]

Answer:

yes

Step-by-step explanation:

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Your sister is 24. Your brother is 20. You are 15. Therefore, your sister will be 48 years old. I’m 87% sure I did this right. Lol, good luck.
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A storage shed is to be built in the shape of a (closed) box with a square base. It is to have a volume of 150 cubic feet. The c
Alenkinab [10]

Answer:

C(s) = 6s^2 + \dfrac{1500}{s}\\\text{where s is the side of base.}

Step-by-step explanation:

We are given the following in the question:

A storage shed is to be built in the shape of a (closed) box with a square base.

Volume = 150 cubic feet

Let s be the edge of square base and h be the height.

Volume of cuboid =

l\times b\times h

where l is the length, b is the base and h is the height.

Volume of box =

s^2h = 150\\\\h = \dfrac{150}{s^2}

Area of base =

\text{side}\times \text{side} = s^2

Cost of concrete for the base = $4

Cost of base($) = 4s^2

Area of roof =

\text{side}\times \text{side} = s^2

Cost of material for the roof = $2

Cost of roof ($) = 2s^2

Area of 4 walls =

4\times (sh)\\=4sh

Cost of material for the side = $2.50

Cost of material of side($) =

2.50\times 4s(\dfrac{150}{s^2})\\\\=\dfrac{1500}{s}

Total cost

= Cost of base + Cost of 4 sides + Cost of roof

C(s) = 4s^2 + \dfrac{1500}{s} + 2s^2\\\\C(s) = 6s^2 + \dfrac{1500}{s}

is the required cost function.

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3 years ago
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