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Gekata [30.6K]
3 years ago
14

The museum's show for July features 30 oil paintings by different artists. All artists show the same number of paintings and eac

h artist shows more than 1 painting. How many artists could be featured in the show?
Mathematics
1 answer:
boyakko [2]3 years ago
5 0
Answer: We have many options:
1) 15 artists, with 2 paintings per artist.
2) 10 artists, with 3 paintings per artist.
3) 6 artists, with 5 paintings per artist.
4) 5 artists, with 6 paintings per artist.
5) 3 artists, with 10 paintings per artist.
6) 2 artists, with 15 paintings per artist.

by different artists, then the number of artists must be more than 1.
each artist shows more than 1 painting: >1 painting/artist

(30 oil paintings)/(2 paintings/artist)=15 artists
(30 oil paintings)/(3 paintings/artist)=10 artists
(30 oil paintings)/(5 paintings/artist)=6 artists
(30 oil paintings)/(6 paintings/artist)=5 artists
(30 oil paintings)/(10 paintings/artist)=3 artists
(30 oil paintings)/(15 paintings/artist)=2 artists
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Answer:

1) Kinetic energy of the truck 1 is 600,000 joules.

Kinetic energy of the truck 2 is 1,837,500 joules.

2 a)Potential energy of truck 1 is 646,800 Joules.

b) Energy lose by the truck 1 just got converted into heat and sound energy during the collision.

Step-by-step explanation:

Mass of the truck 1 and truck 2,m = 3000 kg

Velocity of the truck 1, v_1 = = 20 m./s

Velocity of the truck 2,v_2 = 35 m./s

1. Kinetic energy of the truck 1:\frac{1}{2}mv_{1}^2=\frac{1}{2}\times 3000 kg\times (20 m/s)^=600,000 joules

Kinetic energy of the truck 2:\frac{1}{2}mv_{2}^2=\frac{1}{2}\times 3000 kg\times (35 m/s)^=1,837,500 joules

2.a) Energy loose by the truck 1:

Initial height of the truck on the hill = 22 m

At that height potential energy will be maximum:

Potential energy of truck 1 at that height = mgh=3000\times 9.8 m/s^2\times 22 m=646,800 Joules

b) Energy lose by the truck 1 just got converted into heat and sound energy during the collision.

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3 years ago
Ok maribelalmaraz2404 what’s this? Isosceles, Scalene, or equilateral?
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Step-by-step explanation:

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ANSWER

See attachment.

EXPLANATION

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The graph of this function is shown in the attachment.

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Step-by-step:

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