Rationalize the denominator x-3/√x+2

I=w/12.6r^2 where I is the intensity of light, w is the wattage of the light bulb and r is the distance to the light bulb. Let w

Alenkinab [10]

Answer:

2.0491 watt per meter square

Step-by-step explanation:

We are given the following in the question:

The intensity of light is given by:

$I = \dfrac{W}{12.6r^2}$

where W is the wattage of the light bulb and r is the distance to the light bulb.

We have to evaluate the intensity of bulb with W = 100 watts and r = 2 meters.

Putting values, we get,

$I = \dfrac{100}{12.2(2)^2} = 2.0491\text{ watt per meter square}$

Thus, the intensity of light bulb is 2.0491 watt per meter square.

4 0

4 years ago

I need help because this is hard

Finger [1]

The answer is 6 ^8 because half of 16 is 8

3 0

3 years ago

suppose a consumer advocacy group would like to conduct a survey to find the proportion p of consumers who bought the newest gen

Zepler [3.9K]

The size of the sample they should take to estimate p with a 2% margin of error and 90% confidence is n = 1691.

In statistics, the margin of error is just the degree of a significant error in the outcomes of random sample surveys.

The formula of margin error is, E = z√((p-vector)(1 - (p-vector)) ÷ n)

E = 2% = 0.02

Confidence level = 90%

Now, the proportion is not given so adopt nominal (p-vector) = 0.05

The critical value at CL of 90% is 1.645.

Thus, making n the subject,

n = z²(((p-vector) × (1 - (p-vector))) ÷ E²)

n = 1.645²((0.5 × 0.5) ÷ 0.02²)

n = 1691.266

n ≈ 1691

Read more about the margin of error at

brainly.com/question/16141482?referrer=searchResults

#SPJ4

4 0

1 year ago

The lengths of the sides of a triangle are in the ratio

Anton [14]

HOW TO SOLVE:

1) use x as a variable
2) the starting equation is:
  4x + 3x + 5x = 18

3) add all the like terms on the left side of the equation:
  12x = 18

4) Divide by 12 on both sides:
  x=1.5

5) Find the lengths of the sides:

- 4x = 4(1.5) = 6

- 3x = 3(1.5) = 4.5

- 5x = 5(1.5) = 7.5

SO, the lengths of the sides of this triangle are: 6, 4.5, and 7.5

5 0

3 years ago

The family wants to determine if they can drive to the national park using Just one tank of gas in their car. Determine whether

Nataliya [291]

Answer:

The Fullers can reach the national park

Step-by-step explanation:

The complete question is

The Fuller family wants to drive to a national park. Some information about their trip is given in the table below.

Distance to national park 515 miles

Car’s gas tank capacity 20 gallons

Average gas mileage for car 26 miles per gallon

The family wants to determine if they can drive to the national park using just one tank of gas in their car. Determine whether the Fullers can reach the national park. Show your work or explain your answer.

we know that

The Average gas mileage for the car is 26 miles per gallon

That means

With 1 gallon the car runs 26 miles

so

using a proportion

Find out how many miles the car runs with 20 gallons (one tank of gas)

$\frac{26}{1}\ \frac{miles}{gallon}=\frac{x}{20}\ \frac{miles}{gallons}\\\\x=26(20)\\\\x=520\ miles$

Compare with the distance to the national park

$520\ miles>515\ miles$

therefore

The Fullers can reach the national park

7 0

3 years ago

Rationalize the denominator x-3/√x+2 - √5​

Rationalize the denominator x-3/√x+2 - √5