A painter is painting a wall with an area of 150 ft2. He decides to paint half of the wall and then take a break. After his break, he paints half of the remaining unpainted portion and then takes another break. If he continues to paint half of the remaining unpainted portion between breaks, approximately what portion of the original wall will be painted when he takes his fifth break?112.50 ft2

145.31 ft2

147.66 ft2

290.63 ft2

Answers

Answer 1

Answer: The answer is 141.35 ft²

Before the first break, it was painted:
150 ft² ÷ 2 = 75 ft²
Now it's left:
150 ft² - 75 ft² = 75 ft²

Before the second break, it was painted:
75 ft² ÷ 2 = 37.5 ft²
Now it's left:
75 ft² - 37.5 ft² = 37.5 ft²

Before the third break, it was painted:
37.5 ft² ÷ 2 = 18.75 ft²
Now it's left:
37.5 ft² - 18.75 ft² = 18.75 ft²

Before the fourth break, it was painted:
18.75 ft² ÷ 2 = 9.375 ft²
Now it's left:
18.75 ft² - 9.375 ft² = 9.375 ft²

Before the fourth break, it was painted:
9.375 ft² ÷ 2 = 4.6875 ft²
Now it's left:
9.375 ft² - 4.6875 ft² = 4.6875 ft²

Now, we will sum what he painted for now:
75 ft² + 37.5 ft² + 18.75 ft² + 9.375 ft² 4.6875 ft² = 141.3125 ft² ≈ 141.35 ft²

When the painter takes his fifth break, there will be 141.35 ft² of the wall painted.

Answer 2

Answer:

The painter would have 145.3125 ft^2 painted after the fifth break.

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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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Xian and his cousin Kai both collect stamps, and Kai has 68 stamps. The boys recently joined different stamp collecting clubs. Xian’s club sill send him 12 new stamps per month. Kai’s club will send him 8 new stamps per month. After how many months will Xian and Kai have the same number of stamps? How many stamps will each have?

Answers

Assuming that Xian starts with 0 stamps, you set the equations equal to each other to find what month they have the same amount of stamps.

(68 from Kai's original stamps) (8 from how many per month)
(0 from Xian's original stamps) (12 from how many per month)
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solve for m in this equation and you get 68=4m
and 68/4 = 17 months

For how many stamps each will have, you plug in 17 into m in Xian's equation (you could do either but Xian's is easier):
0+12m
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(1, 1)
(0, 1)

Answers

Answer:

(1, 1)

Step-by-step explanation:

Since, the equation of the line with slope m and passes through $(x_1, y_1)$ is,

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Here,

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⇒ y + 1 = 2x

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1 + 1 = 2(1)

For (0, 1)

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Answers

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Answers

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Zoe bought 1.5 pounds of apples for $3.50 per pound. She wanted to find the total cost using partial products. Part A Drag all of the partial products into the box that Zoe needs to solve the problem. if you can answer this then you can get 17 points and brainless if you get it right

Answers

Answer:

The total cost for 1.5 pounds of apples is $5.25

Step-by-step explanation:

To find the total cost using partial products, you can do the following:

Calculate the cost for 1 pound of apples, which is $3.50.

Since Zoe bought 1.5 pounds of apples, you can use partial products to find the total cost:

First, calculate the cost for 1 pound: $3.50.

Next, calculate the cost for 0.5 pounds (half of 1 pound), which is half of $3.50: $3.50 / 2 = $1.75.

Finally, add the cost for 1 pound and 0.5 pounds to find the total price: $3.50 + $1.75 = $5.25.

So, the total cost for 1.5 pounds of apples is $5.25.

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