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levacccp [35]
3 years ago
8

Express in logarithmic form. Q^p = t

Mathematics
2 answers:
PolarNik [594]3 years ago
8 0

Answer:

p = logQ (t)

Step-by-step explanation:

Q^p = t

Take the log base Q on each side

logQ (Q^p) = logQ(t)

The logQ and the Q cancel each other

p = logQ (t)

rusak2 [61]3 years ago
3 0

Answer:

log(base Q)t = p

Step-by-step explanation:

base = Q

exponent of log = p

result = t

I hope this is right hope i helped

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The function C(x)=17.5x−10 represents the cost (in dollars) of buying x tickets to the orchestra with a $10 coupon. a. How much
Natasha_Volkova [10]

Answer:

a. It would cost $77.50 to buy 5 tickets.

C(x)=17.5(5)-10

C(x)=87.50-10

C(x)=77.50

b. You can buy 8 tickets with $130

C(x)=17.5x-10

130=17.5x-10

Add 10 on both sides

140=17.5x

Divide 17.5 on both sides

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Answer:

2/5 <1/2 <5/8<3/4

Step-by-step explanation:

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1/2 ⇒50%

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Step-by-step explanation:

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You are the coordinator for a program that is going to take place at night in a rectangular amphitheater in the mountains. You w
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The equation to model the situation is \mathbf{y = \dfrac{k}{x^2}}. The constant for the variation is 2250.

<h3>What is the intensity of light?</h3>

The intensity of light from a lantern varies inversely to the square of the distance from the lantern.

From the given information:

  • Let y be the intensity of light, and
  • x be the distance from the lantern

Then:

\mathbf{y \alpha \dfrac{1}{x^2} }

\mathbf{y = \dfrac{k}{x^2} }   here, k = constant.

2.

If y = 90 W/m² when the distance x = 5m

Then:

\mathbf{90 = \dfrac{k}{(5)^2}}

k = 90 × 25

k = 2250

c.

The equation to model the situation by using the constant variation is:

\mathbf{y = \dfrac{2250}{x^2}}

d.

If the light intensity y = 40, then x is determined as:

\mathbf{40 = \dfrac{2250}{x^2}}

\mathbf{x = \sqrt{\dfrac{2250}{40}}}

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e.

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f.

The lantern required for the new light estimation is:

y = 2250/225000

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Therefore, we can conclude that to get an intensity of 1 W/m², we need to put 100 lanterns.

Learn more about intensity of light here:

brainly.com/question/19791748

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