If the ratio of the area of two squares is 9:1 find the ratio of their perimeter

The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.

The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.

The conversion factor from inches to meters is 0.0254 meters per inch.

Width in meters = 14.60 inches * 0.0254 meters/inch

Height in meters = 10.95 inches * 0.0254 meters/inch

Area = Width in meters * Height in meters

We calculate the area:

Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters

Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters

Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters

Now, we determine the number of significant figures.

The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.

Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.

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The unit vector ū in the direction of V is (1/√3, -1/√3, 1/√3). To find the unit vector ū in the direction of vector V = (2, -2, 2), we need to normalize the vector by dividing each component by its magnitude.

Magnitude of V = √(2^2 + (-2)^2 + 2^2) = √(4 + 4 + 4) = √12 = 2√3. Normalized vector ū = V / ||V|| = (2/2√3, -2/2√3, 2/2√3) = (√3/√3, -√3/√3, √3/√3) = (1/√3, -1/√3, 1/√3). Therefore, the unit vector ū in the direction of V is (1/√3, -1/√3, 1/√3).

Regarding the second part of your question, it seems to involve a different context related to forces and lengths, with values given for F, ℓ, and f. However, it's not clear what specific calculations are required or how they relate to the given values.

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Bob continues his research because even though there is no linear equation relationship between the number of bedrooms and selling price, there could be another type of relationship.

Bob continues his research because even though the correlation value he calculated between the number of bedrooms and the selling price was only 0.05, this does not necessarily mean that there is no relationship of any kind between these two variables. It simply means that there is no linear relationship between the two. There could still be other types of relationships between the two variables, such as an exponential or quadratic relationship. It is possible that further analysis and exploration of the data set would reveal such a relationship and allow Bob to uncover the relationship between the two variables. Additionally, even if the correlation value is low, it does not necessarily mean that there is no relationship between the two variables. It simply means that the relationship is weak. Therefore, Bob should continue his research in order to uncover any potential relationships between the number of bedrooms and selling price.

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Answer:

345/7

Step-by-step explanation:

h=345/7 tell me if its right

Using the normal distribution, it is found that:

a) The 65th percentile is of 37.31.

b) The 90th percentile is of 42.68.

c) There is a 0.5705 = 57.05% probability of getting a raw score between 28 and 38.

d) There is a 0.0919 = 9.19% probability of getting a raw score between 41 and 44.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem:

Question a:

The 65th percentile is X when Z has a p-value of 0.65, so X when Z = 0.385.

\(Z = \frac{X - \mu}{\sigma}\)

\(0.385 = \frac{X - 35}{6}\)

\(X - 35 = 0.385(6)\)

\(X = 37.31\)

The 65th percentile is of 37.31.

Question b:

The 90th percentile is X when Z has a p-value of 0.9, so X when Z = 1.28.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.28 = \frac{X - 35}{6}\)

\(X - 35 = 1.28(6)\)

\(X = 42.68\)

The 90th percentile is of 42.68.

Question c:

The probability is the p-value of Z when X = 38 subtracted by the p-value of Z when X = 28, hence:

X = 38:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{38 - 35}{6}\)

\(Z = 0.5\)

\(Z = 0.5\) has a p-value of 0.6915.

X = 28:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{28 - 35}{6}\)

\(Z = -1.17\)

\(Z = -1.17\) has a p-value of 0.121.

0.6915 - 0.121 = 0.5705.

There is a 0.5705 = 57.05% probability of getting a raw score between 28 and 38.

Question d:

The probability is the p-value of Z when X = 44 subtracted by the p-value of Z when X = 41, hence:

X = 44:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{44 - 35}{6}\)

\(Z = 1.5\)

\(Z = 1.5\) has a p-value of 0.9332.

X = 41:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{41 - 35}{6}\)

\(Z = 1\)

\(Z = 1\) has a p-value of 0.8413.

0.9332 - 0.8413 = 0.0919

There is a 0.0919 = 9.19% probability of getting a raw score between 41 and 44.

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Answer:

Ok to do this question we must first put it into a algebraic equation.

215=5x-155

This is are equation. lets first get rid of the 155 by adding it to the 215 which is 370.

370=5x

Ok now we will divide 370 by 5 which is 74.

x=74

Your Welcome

BIFFY OUT!!!

The integral of (sec²(t) i + t(t² + 1)³ j + t²² In(t) k) dt + C is tan(t) + (t³ + 1)⁴/4 + t²² ln(t) - t²²/2 + C.

The integral can be evaluated using the following steps:

1. Integrate each term in the integrand separately.

2. Apply the following trigonometric identities:

   * sec²(t) = 1 + tan²(t)

   * ln(t) = d/dt(t ln(t))

3. Combine the terms and simplify.

The result is as follows:

```

tan(t) + (t³ + 1)⁴/4 + t²² ln(t) - t²²/2 + C

```

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Answer:it is 16%

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

Based on the analyzed data from more than 5,000 adults, researchers found that the more diet sodas a person drank, the greater the person's weight gain.

But it is not true that drinking diet soda causes weight gain.

The causal link between drinking diet soda and weight gain is not established. People who drink diet soda may be consuming more calories and sugars from other sources or may be leading an unhealthy lifestyle that results in weight gain.

the artificial sweeteners used in diet soda may interfere with the body's natural ability to regulate calorie intake, leading to increased cravings for high-calorie foods and, ultimately, weight gain. However, more research is needed to understand the impact of artificial sweeteners on weight gain fully.

Therefore, it can be concluded that drinking diet soda does not directly cause weight gain. Instead, a healthy lifestyle and balance between calorie intake and energy expenditure is necessary to maintain a healthy weight.

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Answer:

-97.716

Step-by-step explanation:

The answer has to be negative because there's no like term and the product of -14.37 and 6.8 is -97.716 , take into consideration the answer should be to 3 decimal points

Answer:

−97.716

Step-by-step explanation:

....................

Emily runs at the fastest speed of 15 ft per second, Liz runs at 13.03 ft per second, and Zack runs at 12.8 ft per second.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

Given that Emily runs 15 ft per second no one runs 358 ft and 36 seconds Liz runs 1 mi in 405 seconds Zack runs 768 feet in 1 minute.

Emily's speed = 15 ft/sec

Liz's speed = 1 mile per 405 sec = 5280/405 = 13.03 ft /sec

Zack's speed = 768 / 60 = 12.8 ft /sec

Therefore, Emily runs at the fastest speed of 15 ft per second, Liz runs at 13.03 ft per second, and Zack runs at 12.8 ft per second.

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$14,000 will grow to approximately $19,160 in two years, assuming an interest rate of 16% compounded quarterly. The correct answer is $19,160.

How can we calculate the interest rate of  16% compounded quarterly?
FV = PV(1 + r/n)^(nt)
where:
FV = future value
PV = present value ($14,000)
r = interest rate (0.16)
n = number of times compounded in a year (quarterly = 4)
t = number of years (2)
Step-by-step calculation:
1. Calculate the quarterly interest rate: 0.16 / 4 = 0.04
2. Calculate the total number of compounding periods: 4 * 2 = 8
3. Calculate the factor: (1 + 0.04)^8 = 1.3685 (rounded to 4 decimal places)
4. Multiply the present value by the factor: $14,000 * 1.3685 = $19,159.66 (rounded to 2 decimal places)

So, $14,000 will grow to approximately $19,160 in two years, assuming an interest rate of 16% compounded quarterly. The correct answer is $19,160.

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Answer:

y = x² + 2x - 15

Step-by-step explanation:

Given the zeros are x = 3 and x = - 5 then the factors are (x - 3) and (x + 5)

The polynomial is then the product of its factors, thus

y = (x - 3)(x + 5) ← expand using FOIL

y = x² + 2x - 15

Answer:

P(x) = 4n+5

P(4) = 4(4)+5

P(4) = 16+5

P(4) = 21

The answer is 21.

Let me know if this helps!

The probability of getting a total of more than 4 is 5/6.

So, formula: P = favorable events/total events

(Refer to the image attached below)

Insert values in the formula as:

Therefore, the probability of getting a total of more than 4 is 5/6.

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Answer:

1 4/5 hours

Step-by-step explanation:

3/5 x 3 = 9/5 or 1 4/5

Strawberries, apples, cherries, spinach, nectarines, and grape samples were positive for residues of two or more pesticides in more than 90% of the cases. The most pesticides were found in kale, collard, mustard greens, spicy peppers, and bell peppers totaling 103 and 101 pesticides, respectively.

According to the Environmental Working Group's 2022 Shoppers Guide to Pesticides in Vegetables, strawberries and spinach continue to have the highest pesticide levels of any product categories.

According to the EWG, more than 70% of non-organic vegetables contained pesticide residue. Nearly all the produce had pesticide residue levels below limits set by U.S. regulators.

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Answer:

-4-4= -x(4-4) or y= -x+8

Step-by-step explanation:

I hope this is what you needed!

Answer:

since there are 30 students as a whole and 20 boys make up part of the class, you can assume that there are 10 girls in the class. since the mean mark for boys is 62 I think the mean mark for girls would be 8%

Step-by-step explanation:

Answer:

In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.

Step-by-step explanation:

The perimeter of rectangular classroom with its length five times its width is 108 ft.

Rectangle is two - dimensional shape with four sides such that the pair of two opposite sides are equal and parallel to each other.

Given is the width of rectangular classroom which is 9 ft wide. Its length is five times its width. From this, we can write -

Width [W] = 9 ft

Length [L] = 5W = 5 x 9 = 45 ft

The perimeter of rectangle is the sum of the length of its sides. Therefore, the perimeter [P] of the rectangle will be -

[P] = 2(L + W) = 2(9 + 45) = 2 x 54 = 108 ft

Therefore, the perimeter of rectangle with its length five times its width is 108 ft.

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The correct answer choice:

The student would be able to afford the in-state cost for one year at a public 2-year college.

The correct option is D.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

A student is planning to attend college in 5 years.

The student has saved $1,200 and plans to save another $50 per month over the next 60 months.

The total savings,

= 1200 + (50 x 60)

= $4200

That is equivalent to the cost of one year at a public 2-year college.

Therefore, the saving amount is equivalent to the cost of one year at a public 2-year college.

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The table shows the cost per year of attending different types of colleges.

A student is planning to attend college in 5 years. The student has saved $1,200 and plans to save another $50 per month over the next 60 months.

Based on this information about the student's plan, which statement about the possible choices for a college is true?

Answer choices

The student would be able to afford the cost for one year at a private 4-year college.

The student would be able to afford out-of-state cost for half a year at a 4-year public college.

The student would be able to afford in-state cost for half a year at a public 4-year college.

The student would be able to afford in-state cost for one year at a public 2-year college.

In a skewed distribution, the long tail pulls the mean toward it. In a density curve, the median is where everything level out.

The median, a statistician's measure of central tendency, divides a dataset into two equally sized half. When the data is organized from smallest to largest, it is the midway value (or largest to smallest). The median is the average of the two middle values when there are an even number of values. Since it is unaffected by extreme values, the median is frequently employed as a measure of central tendency when a dataset contains outliers or is skewed.

given

None of the claims are untrue.

The mean will be greater than the median if a density curve is tilted to the right.

The mean and median are equal in a density curve that is symmetric.

In a skewed distribution, the long tail pulls the mean toward it. In a density curve, the median is where everything level out.

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Let's begin by listing out the information given to us:

We will caculate fºg thus:

Hence, option B is correct

A boxplot is a graphical representation of data distribution, and it can be used to compare the salary distributions of construction workers and teachers. To determine the percentage of teachers that a person making the minimum salary for a construction worker is making more than, we must first understand the data for both groups.

The minimum salary for a construction worker is a specific value, representing the lowest amount paid to workers in that profession. In contrast, teachers' salaries can vary based on various factors such as experience, education level, and location. Comparing these two distributions can provide insights into the relative earnings of these professions.

Using a boxplot, the minimum, first quartile, median, third quartile, and maximum values can be visually represented for each group. The comparison between the minimum salary for a construction worker and the distribution of teachers' salaries can be observed by looking at the overlap of these two boxplots.

If the minimum salary for a construction worker falls within the first quartile of teachers' salaries, it would mean that a person earning that salary is making more than 25% of teachers. If it falls within the second quartile (between the first and median), the person is making more than 50% of teachers. Similarly, if it falls within the third quartile, they would be making more than 75% of teachers.

To provide a precise percentage, the data for both groups needs to be analyzed and compared. However, without specific numbers, a definitive answer cannot be given. In summary, a boxplot can be used to visualize and compare the salary distributions of construction workers and teachers to determine what percentage of teachers a person making the minimum salary for a construction worker is earning more than.

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Answer:

1,969.26

Step-by-step explanation:

If a yard costs 85.62, we can present this as;

y = 85.62

Therefore, to find the cost of 23 yards, we can represent the above equation as;

23y = x

since we already know the value of y, we can say that

x = 23(85.62)  

so,

x = 1,969.26

Answer:

6

Step-by-step explanation:

5+1=6. is this how you need it

Answer:

45  1/2

Step-by-step explanation:

Based on simulation, the estimated probability that the profit per unit will be less than $4 is 31.6%.

To estimate the probability, we can simulate the profit per unit using a random number generator with a normal distribution based on the given mean and standard deviation. We can then count the number of times the simulated profit per unit is less than $4 and divide by the total number of simulations to get the estimated probability. By repeating the simulation multiple times and taking the average, we can increase the accuracy of the estimate. In this case, the simulation result suggests that there is a significant chance that the project may not be sustainable if the profit per unit is less than $4.

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11 years is the sum of Joey's two digits the next time his age is a multiple of Zoe's age.

Assume Chloe is c years old today, and Joey is c+1 years old today. Chloe and Zoe will be n+c and n+1 years old after n years.

Given,

(n + c) ÷ (n + 1) = 1 + ((c - 1) ÷ (n + 1))

For 9 non-negative integers, n is an integer. As a result, c - 1 has 9 positive divisors. c-1's prime factorization is either \(p^8\) or p²q². Because c - 1 < 100, the only possible solution is c - 1 = 2² × 3² = 36, from which c = 37. We may deduce that Joey is 38 years old today.

Assume Joey's age is a multiplier of Zoe's age after k years, resulting in Joey and Zoe being k + 38 and k + 1 years old, correspondingly.

Given,

(k + 38) ÷ (k + 1) = 1 + ((38 - 1) ÷ (k + 1))

For some positive integers, k is an integer. As 37 is divisible by k + 1, the only possible solution is k = 36. Infer that Joey will be k + 38 = 74 years old at that time, yielding the value 7 + 4 = 11.

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