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vodomira [7]
3 years ago
15

Pls check screenshot 50 points

Mathematics
2 answers:
EastWind [94]3 years ago
7 0

Step-by-step explanation:

Answer :-

→ Current in 10 Ω resistor = 4 A

→ Current in 20 Ω resistor = 2 A

→ Power of the 10 Ω resistor = 160 W

→ Power of the 20 Ω resistor = 80 W

Explanation :-

We have :-

→ 1st resistance (R₁) = 10 Ω

→ 2nd resistance (R₂) = 20 Ω

→ Total current (I) = 6 A

______________________________

The current in the 10 Ω resistor is :-

I₁ = (R₂/R₁ + R₂) × I

⇒ I₁ = (20/10 + 20) × 6

⇒ I₁ = 20/30 × 6

⇒ I₁ = 4 A

The current in the 20 Ω resistor :-

I₂ = (R₁/R₁ + R₂) × I

⇒ I₂ = (10/10 + 20) × 6

⇒ I₂ = 10/30 × 6

⇒ I₂ = 2 A

______________________________

Power of 10 Ω resistor :-

P₁ = I²₁ × R₁

⇒ P₁ = (4)² × 10

⇒ P₁ = 16 × 10

⇒ P₁ = 160 W

Power of 20 Ω resistor :-

P₂ = I²₂ × R₂

⇒ P₂ = (2)² × 20

⇒ P₂ = 4 × 20

⇒ P₂ = 80 W

arsen [322]3 years ago
3 0

Answer:

See below

Step-by-step explanation:

<h3>Part (a)</h3>

f(x - 1) is the translation of f(x) one unit right.

So the graph is exactly same shape but shifted right one unit.

<h3>Part (b)</h3>

f(x) has vertex (-1, 2)

<u>The function y = f(-x) + 2 will have the vertex changed as per rule:</u>

  • (x, y) → (-x, y + 2)

<u>So the new vertex is:</u>

  • (-1, 2) → (-(-1), 2 + 2) = (1, 4)
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Three friends met for a book club at a coffee shop, each friend ordered a cup of coffee and two donuts. the total of the order w
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Answer:

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Step-by-step explanation:

a.

Let\ cost\ of\ coffee=y\\\\cost\ of\ one\ donut=x\\\\Each\ friend\ buy\ one\ coffee\ and\ two\ donuts\\\\Amount\ for\ 1\ friend=Cost\ of\ coffee+2\times cost\ of\ donut\\\\Amount\ for\ 1\ friend=y+2x\\\\Amount\ required\ for\ 3\ friend=3\times Amount\ for\ 1\ friend\\\\Amount\ required\ for\ 3\ friend=3\times (y+2x)\\\\Amount\ required\ for\ 3\ friend=3y+6x\\\\Total\ bill=\$ 22\\\\3y+2x=22\\\\Given\ cost\ of\ coffee=\$3.25\\\\y=\$3.25

Hence\ solution\ of\ following\ system\ of\ equation\ will\ give\ cost\ of\ donut:\\\\3y+6x=22\\\\y=3.25\\\\\\Substitute\ y=3.25\ in\ first\ equation\\\\3\times 3.25+6x=22\\\\9.75+6x=22\\\\6x=22-9.75\\\\6x=12.25\\\\x=\frac{12.25}{6}\\\\x=\frac{49}{24}\approx \$2.042\\\\Cost\ of\ donut=\frac{49}{24}\approx \$2.042

See attached diagram.

b.

Each\ friend\ takes\ 2\ donuts\\\\Total\ donuts=Number\ of\ friends\times 2\\\\Total\ donuts=3\times 2=6\\\\cost\ of\ donuts=number\ of\ donuts\times cost\ of\ 1\ donut\\\\cost\ of\ donuts=6\times \frac{49}{24}\\\\cost\ of\ donuts=\frac{49}{4}\approx \$12.25

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