An atom of gold has a mass of 3.271×10^-22 grams. how many atoms are in 5.00g of gold

Answers

Answer 1

Answer: There would be 3.01107075e+24 in 5.00g of gold.

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The loudness, L , of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d , from the source of the sound. A person 14 feet from a jetski, it is 75 decibels loud.

How loud is the jetski when the person is 45 feet away?

Answers

Answer

7.2593 decibels

Explanation

L ∝ 1/d² Inserting the constant of variation,

L = k/d²

k = Ld²

= 75 × 14²

= 14,700

When d = 45 feet;

L = 14,700/45²

= 14,700/2,025

= 7.2593 decibels

When the person is 45 feet away from the jetski, it is approximately 24.07 decibels loud.

How to determine How loud is the jetski when the person is 45 feet away

We can use the inverse square law to find how loud the jetski is when the person is 45 feet away. The inverse square law states that the loudness ($L$) is inversely proportional to the square of the distance ($d$):

$L = k \cdot (1)/(d^2)$

We are given that when the person is 14 feet away, $L = 75$ . We can use this information to find the value of $k$:

$75 = k \cdot (1)/(14^2)$

Now, solve for $k$:

$k = 75 \cdot 14^2$

Now that we have the value of $k$, we can use it to find the loudness ($L$) when the person is 45 feet away:

$L = k \cdot (1)/(45^2)$

Plug in the value of $k$ we found:

$L = 75 \cdot 14^2 \cdot (1)/(45^2)$

Calculate this expression to find the loudness ($L$) when the person is 45 feet away:

$L \approx 24.07 \text{ dB}$

So, when the person is 45 feet away from the jetski, it is approximately 24.07 decibels loud.

Learn more about inverse square law at brainly.com/question/30562749

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What is the radius for this given equation? (x^2+10x) + (y^2-8y)=59

Answers

Answer:

The answer to your question is r = 10

Step-by-step explanation:

Data

(x² + 10x ) + (y² - 8y ) = 59

Process

1.- Complete the perfect square trinomials

(x² + 10x + (5)²) + (y² - 8y + (4)²) = 59 + (5)² + (4)²

2.- Simplify

(x² + 10x + 25) + (y² - 8y + 16) = 59 + 25 + 16

3.- Factor

(x + 5)² + (y - 4)² = 100

or (x + 5)² + (y - 4)² = 10²

4.- Compare the result with the standard form

(x - h)² + (y - k)² = r²

then r² = 10²

and r = 10

If sin theta is -4/5. 270 degrees is less than theta and theta is less than 360 degrees. What is tan theta?

Answers

Answer:

tan theta = -4/3.

Step-by-step explanation:

The inequality means that theta is in the 4th quadrant ( between 270 and 360 degrees.

The angle whose sine is 4/5 is 53.13 degrees.

So the angle whose sine is -4/5 is 306.87 degrees.

The tangent is negative and the triangle formed by the angle in the 4th quadrant has sides 3, - 4 and 5 ( by the Pythagoras theorem).

So tan theta = opposite / adjacent = -4/3 (answer).

Evaluate the expression. 32 ÷ 8 · 4 A. 1 B. 8 C. 16 D. 64

Answers

the answer is 16 I meant srry couldn't read it

Answer:

C. 16

32/8=4 4x4=16

Twenty percent of 150 is

Answers

20% of 150 is 30

Change the percentage into a decimal by dividing it over 100:

20 / 100 = 0.2

Multiply:

0.2 × 150 = 30

Answer: 30

Step-by-step explanation:

What is the value of the expression? 19.2+(–7+3.8)a. 16
b. 24
c. 29
d. 30

Answers

$19.2+(-7+3.8)=19.2+(3.8-7)=19.2+(-3.2)\n\n=19.2-3.2=\huge\boxed{16}\leftarrow\boxed{a}$

The first thing I would do to solve this is do the () so -7+3.8=-3.2 +19.2=16 So your answer would be A. I hope this helps. :)

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