Roberto Anaya and his wife plan to rent a condominium for $725 per month. They pay a $125 monthly fee for all of the maintenance work. Their annual expenses are insurance $468, lost interest, $129; and utility bills, $3,000. What are their average monthly expenses to the nearest cent?

the product of [tex]\( 4.7 \times (6.02 \times 10^{23}) \) is \( 2.8294 \times 10^{24} \).[/tex]

Sure, let's identify the product and express it in scientific notation.

[tex]\( 4.7 \times (6.02 \times 10^{23}) \)[/tex]

To find the product, we simply multiply the two numbers:

[tex]\( 4.7 \times 6.02 \times 10^{23} \)[/tex]

First, we multiply 4.7 by 6.02:

[tex]\( 4.7 \times 6.02 = 28.294 \)[/tex]

Next, we multiply this result by [tex]\( 10^{23} \):[/tex]

[tex]\( 28.294 \times 10^{23} \)[/tex]

Now, to express this product in scientific notation, we need to adjust the decimal point so that the number is between 1 and 10:

[tex]\( 2.8294 \times 10^{24} \)[/tex]

Therefore, the product of [tex]\( 4.7 \times (6.02 \times 10^{23}) \) is \( 2.8294 \times 10^{24} \).[/tex]

1. First, we multiplied 4.7 by 6.02 to get 28.294.

2. Then, we multiplied this result by [tex]\( 10^{23} \)[/tex] to shift the decimal point 23 places to the right, resulting in[tex]\( 2.8294 \times 10^{24} \)[/tex]  in scientific notation.

This method helps in handling large numbers efficiently, especially when dealing with calculations involving scientific notation and significant figures.

complete question

identify the product and it in scientific notation. 4.7 x(6.02 x 10^23)

After converting all values to decimal form for consistent comparison, the statements '1.75 > 1½' and '1.436 < 25⁄2' are true, while the statements '0.25 ≠ ¼' and '0.2185 = ⅓' are false.

The question is asking to compare different given values, either greater than (>), not equal to (≠), or less than (<). To do this accurately, we need to convert all numbers to a common form. In this case, it is easiest to consider everything as decimal values:

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The percent decrease in the area of a rectangle from 40 square feet to 28 square feet is calculated by dividing the difference in areas (12 sq ft) by the original area (40 sq ft) and multiplying by 100%. The result is a 30% decrease in area.

The percent decrease in the area of a rectangle can be found by first calculating the difference in the areas and then dividing that difference by the original area. In this case, the original area of the rectangle was 40 square feet and it decreased to 28 square feet, a difference of 12 square feet.

We use the formula for percentage change which is:

(change in value) / (original value) × 100%

Here, the change in value is the difference in areas (12 square feet) and the original value is the original area of the rectangle (40 square feet). Thus we calculate:

(12 sq ft/ 40 sq ft) * 100% = 30%

So, the percent decrease in the area of the rectangle is 30%.

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Answer:

17 calls

Step-by-step explanation:

You took 500 calls in 30 days.

We have to calculate the average calls per day.

Average calls = [tex]\frac{\text{Total calls}}{\text{total days}}[/tex]

                      = [tex]\frac{500}{30}[/tex]

                      = 16.7 ≈ 17 calls per day

That means i took an average 17 calls per day.

Answer:

Rose bought cinnamon candy more of.

Step-by-step explanation:

Rose bought ginger candy = [tex]\frac{7}{20}[/tex] kilogram

                                             = 0.35 Kilogram

She bought cinnamon candy = 0.4 kilogram

As we know 1 kilogram = 1000 grams

0.35 kilogram = 1000 × 0.35 = 350 grams ginger candy

0.4 kilograms = 1000 × 0.4 = 400 grams cinnamon candy

Therefore, She bought cinnamon candy more.

The correct factorization would be (5x - 4)(25x^2 + 20x + 16).

The law of factoring cubes states that we use the following formula when we have two cubes being subtracted by one another.

(a - b)(a^2 + ab + b^2)

If we take the cube root of 125x^3 we get 5x, which will be our a value. If we take the cube root of 64, we get 4, which will be our b value. Then we plug in to the formula.

(5x - 4)((5x)^2 + (5x)(4) + 4^2)

(5x - 4)(25x^2 + 20x + 16)

I think the problem with your second answer is that you just did not properly multiply the 5x and the 4 to get 20x (instead you got 15x).

median  is the middle value, since there is an even number, add the 2 middle numbers and divide by 2

median = 9 +17 = 26/2 = 13

mode is the number that is repeated most often

mode = 6

mean is the average of all the numbers, when added they equal 276

276/12 = 23

mean = 23

5% trimmed mean = 218 /10 = 21.8

 the averages are statistics since the points of a football game can vary

To convert the height of Niagara Falls from meters to yards, we multiply the given height of 182 meters by the conversion factor of 1.09361 yards per meter, which gives us approximately 199.18 yards.

The height of Niagara Falls is provided in this question as 182. However, no units are given so let's assume this is in meters as that's a common unit for height. The conversion factor from meters to yards is approximately 1 meter = 1.09361 yards. Therefore, we multiply the given height in meters by this conversion factor to get the height in yards.

So, Niagara Falls is approximately 199.18 yards high when converted from meters.

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Answer: (2a,0) is the answer. But you already know.

Step-by-step explanation:

Answer:

0.2365882365 L/cup

Step-by-step explanation:

The conversion factor can be found from the size of a cup in relation to a gallon, and the size of a cubic inch in relation to a liter.

[tex]1\,\text{cup}=8\,\text{fl oz}\times\dfrac{231\,in^{3}}{128\,\text{fl oz}}\times\left(\dfrac{0.254\,\text{dm}}{1\,\text{in}}\right)^{3}\times\dfrac{1\,L}{1\,dm^{3}}\\\\=\dfrac{8\cdot 231\cdot 0.254^{3}}{128}\,L=0.2365882365\,L[/tex]

4*0.20 = 0.8

3 *0.15 = 0.45

3*0.20 = 0.6

5 *0.15 = 0.75

4 *.20 = 0.8

2 *0.10 =0.2

0.8 + 0.45 + 0.6 +0.75 +0.8 +0.2 = 3.6

 weighted mean = 3.6

The teacher's weighted mean is 3.6 out of 5.

To calculate the weighted average, you'll multiply each score by its corresponding weight, then sum up the results.

Here are the scores and their respective weights:

- Content Knowledge: 4 (score) * 0.2 (weight) = 0.8

- Lesson Plans: 3 * 0.15 = 0.45

- Instruction Delivery: 3 * 0.20 = 0.6

- Classroom Management: 5 * 0.15 = 0.75

- Student Performance: 4 * 0.20 = 0.8

- Supplementary Responsibilities: 2 * 0.10 = 0.2

Now, sum up these weighted scores:

0.8 + 0.45 + 0.6 + 0.75 + 0.8 + 0.2 = 3.6

So, the teacher's weighted mean is 3.6.

0.79 / 16 oz = 0.049 ( price for 1 oz of brown rice)

3.49 / 32 = 0.109 ( price for 1 oz of white rice)

 the price per oz of brown rice is cheaper then 1 oz of white rice so the brown rice is the better deal

The 16 oz package of brown rice is a better deal because it has a lower price per ounce compared to the 32 oz package of white rice.

To determine which package of rice is a better deal, we calculate the price per ounce for each package. The 16 oz package of brown rice costs 79 cents, so the price per ounce of brown rice is 79 cents ÷ 16 oz = 4.9375 cents per ounce. The 32 oz package of white rice costs $3.49, therefore the price per ounce of white rice is $3.49 ÷ 32 oz = 10.90625 cents per ounce.

By comparing the price per ounce, we can see that the price per ounce for the brown rice is less than the price per ounce for the white rice. Therefore, the 16 oz package of brown rice is the better deal.

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Answer:

By solving it.

Step-by-step explanation:

In order to see if the equation is correct, you just have to perform the operations in both sides of the inequality and then check if those are equal, that means that the equation is correct, for example if both sides of the equation give as a result 10 then the equation is correct, now let´s do it with the problem:

12+39=49

51=39

Since 51 is not equal to 39 that means that the equation is not correct.