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3 years ago

Please help me with this question. BRAINLIEST if answered.

Physics

1 answer:

IceJOKER [234]3 years ago

8 0

... The top branch of the 3-branched parallel block ... the 9 and 6 in series ...
is equivalent to a single resistor of 15 ohms.

... The 3-branched parallel block boils down to (30, 10, and 15) in parallel.
That's (1/30 + 1/10 + 1/15)⁻¹ = 5 ohms.

... The 5-ohm-equivalent block and the 20-ohm resistor form a
voltage divider across the battery.
The voltage across the 5-ohm-equivalent block is (5/25 x 30v) = 6v .

... The top branch of the block is equivalent to a (9 + 6) = 15-ohmer.
With 6v across its ends, the current through that branch is (6/15) = 0.4A .

... With 0.4A flowing through it, the 9-ohm resistor is dissipating

I²R = (0.4A)² (9 ohms) = (0.16 A²) (9 ohms) = 1.44 W (choice-3)

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Answer:

$E=9r+390$

Explanation:

<u>Function Modeling </u>

We can express the relations between different variables and magnitudes in mathematics formulas. This allows us to better manipulate the field data and even make predictions and take decisions out of them.

We know Cortez spends a total of 65 minutes of running and swimming. Let's call r the minutes of running and s the minutes of swimming. The first condition implies that

$r+s=65$

Or, equivalently

$s=65-r$

The energy burnt when running are 15 calories per minute. It means that he burns 15r in r minutes. Similarly, Cortez burns 6s calories when swimming. The total energy he burns is

$E=15r+6s$

Replacing the formula for s, we get

$E=15r+6(65-r)$

$\boxed{E=9r+390}$

That formula gives the total calories Cortez burns in r minutes of running

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